Details

Time bar (total: 19.5s)

analyze446.0ms (2.3%)

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)

sample9.4s (48.1%)

Results
2.6s2753×body1024valid
2.3s1824×body2048valid
1.4s1420×body1024invalid
963.0ms1259×body512valid
702.0ms2420×body256valid
534.0ms205×body1024infinite
325.0ms736×body512invalid
174.0ms1343×body256invalid
162.0ms742×body256infinite
104.0ms224×body512infinite
93.0ms364×body256unsamplable
4.0msbody2048invalid
1.0msbody2048infinite
Bogosity

preprocess66.0ms (0.3%)

Algorithm
egg-herbie
Rules
1218×distribute-lft-neg-in
1160×fma-def
948×distribute-rgt-neg-in
870×*-commutative
864×associate-*r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01574
13574
27774
319674
460174
5181974
6514574
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)

simplify67.0ms (0.3%)

Algorithm
egg-herbie
Rules
1566×distribute-lft-neg-in
1226×distribute-rgt-neg-in
780×*-commutative
742×associate--r+
732×associate-+l-
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01037
12237
24437
310637
431237
593337
6260737
7496437
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
33.4b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
33.4b
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
Compiler

Compiled 15 to 11 computations (26.7% saved)

localize16.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 36 to 24 computations (33.3% saved)

series48.0ms (0.2%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
21.0ms
x
@0
(pow.f64 x (/.f64 1 n))
15.0ms
x
@-inf
(pow.f64 x (/.f64 1 n))
6.0ms
x
@inf
(pow.f64 x (/.f64 1 n))
1.0ms
x
@inf
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
1.0ms
x
@-inf
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

rewrite92.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1040×associate-*r/
990×*-commutative
686×associate-*l/
494×distribute-lft-in
486×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01050
122746
2310646
Stop Event
node limit
Counts
2 → 118
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))
Outputs
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simplify143.0ms (0.7%)

Algorithm
egg-herbie
Rules
940×associate--r+
888×associate-+l-
780×associate-+r-
684×associate--l+
576×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
044813248
1128812594
2556212586
Stop Event
node limit
Counts
166 → 261
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)))
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(-.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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(-.f64 (exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n)) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n)) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n)) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n)) (exp.f64 (/.f64 (log.f64 x) n)))
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
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(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (log.f64 (+.f64 1 x))) (*.f64 -1 (log.f64 x))) n))
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(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 (*.f64 -1 (/.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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(exp.f64 (/.f64 (log.f64 x) n))
(exp.f64 (/.f64 (log.f64 x) n))
(exp.f64 (/.f64 (log.f64 x) n))
(exp.f64 (/.f64 (log.f64 x) n))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))
(exp.f64 (/.f64 (log.f64 x) n))
(exp.f64 (/.f64 (log.f64 x) n))
(exp.f64 (/.f64 (log.f64 x) n))
(exp.f64 (/.f64 (log.f64 x) n))
1
(+.f64 (/.f64 (log.f64 x) n) 1)
(+.f64 (/.f64 (log.f64 x) n) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))))
(+.f64 (/.f64 (log.f64 x) n) (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))
1
(+.f64 (/.f64 (log.f64 x) n) 1)
(+.f64 (/.f64 (log.f64 x) n) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))))
(+.f64 (/.f64 (log.f64 x) n) (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))
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(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))) 2) (cbrt.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) (cbrt.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 (neg.f64 (pow.f64 x (pow.f64 n -1))) 3)) 1) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (-.f64 (neg.f64 (neg.f64 (pow.f64 x (/.f64 2 n)))) (neg.f64 (pow.f64 (+.f64 x (*.f64 x x)) (pow.f64 n -1))))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))) 1) (neg.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n)))) 1) (neg.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (pow.f64 n -1)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n)))) (sqrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (pow.f64 n -1)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))) (sqrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))))) (sqrt.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n)))) (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))) 2)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (pow.f64 n -1)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))) (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))) 2)) (cbrt.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 (+.f64 x 1) (/.f64 2 n))) (*.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))) (/.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))))) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) 3) (pow.f64 (pow.f64 x (/.f64 2 n)) 3)) (/.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))))) (+.f64 (*.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 (+.f64 x 1) (/.f64 2 n))) (*.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 (+.f64 x 1) (/.f64 3 n))) (*.f64 (pow.f64 x (/.f64 3 n)) (pow.f64 x (/.f64 3 n)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (pow.f64 n -1)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))))) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) 3) (pow.f64 (pow.f64 x (/.f64 3 n)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (pow.f64 n -1)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))))) (+.f64 (*.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 (+.f64 x 1) (/.f64 3 n))) (*.f64 (pow.f64 x (/.f64 3 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))) 1) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))) (sqrt.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))))) (sqrt.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))) (*.f64 (cbrt.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))) (cbrt.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))))) (cbrt.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) 1) (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (pow.f64 n -1)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (pow.f64 n -1)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (pow.f64 n -1)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (pow.f64 n -1)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (pow.f64 n -1)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (pow.f64 n -1)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))))
(pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))) 1)
(pow.f64 (sqrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))) 2)
(pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))) 3)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))) 3) 1/3)
(neg.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))) (neg.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) (neg.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (pow.f64 n -1)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))))))
(sqrt.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))) 2))
(log.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))))))
(cbrt.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))) 3))
(expm1.f64 (log1p.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))))
(exp.f64 (log.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))))
(log1p.f64 (expm1.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))))
(fma.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (pow.f64 x (pow.f64 n -1))))
(fma.f64 (pow.f64 (+.f64 x 1) (/.f64 1/2 n)) (pow.f64 (+.f64 x 1) (/.f64 1/2 n)) (neg.f64 (pow.f64 x (pow.f64 n -1))))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n))) (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (neg.f64 (pow.f64 x (pow.f64 n -1))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x (pow.f64 n -1)))) 1)
(*.f64 1 (pow.f64 x (pow.f64 n -1)))
(*.f64 (pow.f64 x (pow.f64 n -1)) 1)
(*.f64 (pow.f64 x (pow.f64 n -1)) (pow.f64 1 (pow.f64 n -1)))
(*.f64 (pow.f64 x (/.f64 1/2 n)) (pow.f64 x (/.f64 1/2 n)))
(*.f64 (cbrt.f64 (pow.f64 x (pow.f64 n -1))) (cbrt.f64 (pow.f64 x (/.f64 2 n))))
(*.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n))) (cbrt.f64 (pow.f64 x (pow.f64 n -1))))
(*.f64 (pow.f64 1 (pow.f64 n -1)) (pow.f64 x (pow.f64 n -1)))
(*.f64 (pow.f64 (sqrt.f64 x) (pow.f64 n -1)) (pow.f64 (sqrt.f64 x) (pow.f64 n -1)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 n -1)) (pow.f64 (cbrt.f64 x) (pow.f64 n -1)))
(*.f64 (pow.f64 (cbrt.f64 x) (pow.f64 n -1)) (pow.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 n -1)))
(sqrt.f64 (pow.f64 x (/.f64 2 n)))
(log.f64 (exp.f64 (pow.f64 x (pow.f64 n -1))))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x (pow.f64 n -1)))))
(cbrt.f64 (pow.f64 x (/.f64 3 n)))
(expm1.f64 (log1p.f64 (pow.f64 x (pow.f64 n -1))))
(exp.f64 (/.f64 (log.f64 x) n))
(log1p.f64 (expm1.f64 (pow.f64 x (pow.f64 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 (+.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 (+.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 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (*.f64 x x) 1) (-.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)) (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)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 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 (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)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x)) (*.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 (/.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 (/.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))) (/.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)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x)) (+.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)) (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))))) (*.f64 (/.f64 (+.f64 (/.f64 1/24 (pow.f64 n 4)) (-.f64 (-.f64 (/.f64 (/.f64 11/24 n) n) (/.f64 1/4 n)) (/.f64 1/4 (pow.f64 n 3)))) (pow.f64 x 4)) (exp.f64 (/.f64 (log.f64 x) n)))))
(/.f64 (exp.f64 (/.f64 (+.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)))))
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(sqrt.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 2))
(fabs.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
(log.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))))))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
(cbrt.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))) 3))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
(expm1.f64 (log1p.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))))
(-.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 (pow.f64 n -1)))))
(-.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 (pow.f64 n -1)))))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
(fma.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (pow.f64 x (pow.f64 n -1))))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
(fma.f64 (pow.f64 (+.f64 x 1) (/.f64 1/2 n)) (pow.f64 (+.f64 x 1) (/.f64 1/2 n)) (neg.f64 (pow.f64 x (pow.f64 n -1))))
(fma.f64 (pow.f64 (+.f64 1 x) (/.f64 1/2 n)) (pow.f64 (+.f64 1 x) (/.f64 1/2 n)) (neg.f64 (pow.f64 x (/.f64 1 n))))
(-.f64 (pow.f64 (+.f64 1 x) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n))) (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (neg.f64 (pow.f64 x (pow.f64 n -1))))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n))) (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (neg.f64 (pow.f64 x (/.f64 1 n))))
(-.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n))) (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) (pow.f64 x (/.f64 1 n)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x (pow.f64 n -1)))) 1)
(pow.f64 x (/.f64 1 n))
(*.f64 1 (pow.f64 x (pow.f64 n -1)))
(pow.f64 x (/.f64 1 n))
(*.f64 (pow.f64 x (pow.f64 n -1)) 1)
(pow.f64 x (/.f64 1 n))
(*.f64 (pow.f64 x (pow.f64 n -1)) (pow.f64 1 (pow.f64 n -1)))
(pow.f64 x (/.f64 1 n))
(*.f64 (pow.f64 x (/.f64 1/2 n)) (pow.f64 x (/.f64 1/2 n)))
(pow.f64 x (/.f64 1 n))
(*.f64 (cbrt.f64 (pow.f64 x (pow.f64 n -1))) (cbrt.f64 (pow.f64 x (/.f64 2 n))))
(*.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (cbrt.f64 (pow.f64 x (/.f64 2 n))))
(*.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n))) (cbrt.f64 (pow.f64 x (pow.f64 n -1))))
(*.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (cbrt.f64 (pow.f64 x (/.f64 2 n))))
(*.f64 (pow.f64 1 (pow.f64 n -1)) (pow.f64 x (pow.f64 n -1)))
(pow.f64 x (/.f64 1 n))
(*.f64 (pow.f64 (sqrt.f64 x) (pow.f64 n -1)) (pow.f64 (sqrt.f64 x) (pow.f64 n -1)))
(pow.f64 (sqrt.f64 x) (*.f64 2 (/.f64 1 n)))
(pow.f64 (sqrt.f64 x) (/.f64 2 n))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 n -1)) (pow.f64 (cbrt.f64 x) (pow.f64 n -1)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 n)) (pow.f64 (cbrt.f64 x) (/.f64 1 n)))
(*.f64 (pow.f64 (cbrt.f64 x) (pow.f64 n -1)) (pow.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 n -1)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 n)) (pow.f64 (cbrt.f64 x) (/.f64 1 n)))
(sqrt.f64 (pow.f64 x (/.f64 2 n)))
(log.f64 (exp.f64 (pow.f64 x (pow.f64 n -1))))
(pow.f64 x (/.f64 1 n))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x (pow.f64 n -1)))))
(pow.f64 x (/.f64 1 n))
(cbrt.f64 (pow.f64 x (/.f64 3 n)))
(expm1.f64 (log1p.f64 (pow.f64 x (pow.f64 n -1))))
(pow.f64 x (/.f64 1 n))
(exp.f64 (/.f64 (log.f64 x) n))
(log1p.f64 (expm1.f64 (pow.f64 x (pow.f64 n -1))))
(pow.f64 x (/.f64 1 n))

eval157.0ms (0.8%)

Compiler

Compiled 9980 to 6274 computations (37.1% saved)

prune53.0ms (0.3%)

Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New24912261
Fresh000
Picked101
Done000
Total25012262
Error
0.3b
Counts
262 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
24.2b
(fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (-.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)))))
43.6b
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 2) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 (+.f64 1 x) x) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n))))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))))))
19.4b
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
28.2b
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
33.4b
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (cbrt.f64 (pow.f64 x (/.f64 3 n))))
50.1b
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 1)
26.4b
(-.f64 (-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (/.f64 (log1p.f64 x) n)) (/.f64 (log.f64 x) n)) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n))))
49.3b
(-.f64 (+.f64 (/.f64 x n) 1) (exp.f64 (/.f64 (log.f64 x) n)))
33.1b
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
43.3b
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
34.1b
(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x)))
43.6b
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 2) (cbrt.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) (pow.f64 (fma.f64 x x x) (/.f64 1 n)))))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n)))))
Compiler

Compiled 572 to 386 computations (32.5% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
5.0b
(-.f64 (log1p.f64 x) (log.f64 x))
Compiler

Compiled 20 to 6 computations (70% saved)

series46.0ms (0.2%)

Counts
2 → 36
Calls

9 calls:

TimeVariablePointExpression
36.0ms
n
@0
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
9.0ms
n
@inf
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
0.0ms
x
@-inf
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
0.0ms
n
@-inf
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
0.0ms
x
@inf
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)

rewrite88.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1270×associate-*r/
1216×associate-/r*
1086×associate-/l*
958×*-commutative
904×associate-*l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0936
119236
2270336
Stop Event
node limit
Counts
2 → 166
Calls
Call 1
Inputs
(-.f64 (log1p.f64 x) (log.f64 x))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
Outputs
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simplify121.0ms (0.6%)

Algorithm
egg-herbie
Rules
1348×associate-+r+
1086×+-commutative
672×associate-/l*
668×associate-*r*
598×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04499154
112988822
267808798
Stop Event
node limit
Counts
202 → 278
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))))))
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(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) (sqrt.f64 (+.f64 (log1p.f64 x) (log.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2)) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2)) (cbrt.f64 (+.f64 (log1p.f64 x) (log.f64 x))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 x) 2))) (/.f64 1 (+.f64 (log1p.f64 x) (log.f64 x)))) (+.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 x) 2) 3) (pow.f64 (pow.f64 (log.f64 x) 2) 3)) (/.f64 1 (+.f64 (log1p.f64 x) (log.f64 x)))) (+.f64 (+.f64 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 x) 2))) (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (*.f64 (pow.f64 (log.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 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 x) 3) 3) (pow.f64 (pow.f64 (log.f64 x) 3) 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 (log1p.f64 x) 3)) (+.f64 (*.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 x) 3)) (*.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) 1) (+.f64 (log1p.f64 x) (log.f64 x)))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (sqrt.f64 (+.f64 (log1p.f64 x) (log.f64 x)))) (sqrt.f64 (+.f64 (log1p.f64 x) (log.f64 x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (*.f64 (cbrt.f64 (+.f64 (log1p.f64 x) (log.f64 x))) (cbrt.f64 (+.f64 (log1p.f64 x) (log.f64 x))))) (cbrt.f64 (+.f64 (log1p.f64 x) (log.f64 x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) 1) (+.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)) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))))) (sqrt.f64 (+.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)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))))))
(pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2))
(log.f64 (/.f64 (+.f64 x 1) x))
(log.f64 (+.f64 1 (-.f64 (/.f64 (+.f64 x 1) x) 1)))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x))))
(log1p.f64 (-.f64 (/.f64 (+.f64 x 1) x) 1))
(fma.f64 1 (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)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)) (neg.f64 (log.f64 x)))
(+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (*.f64 (/.f64 1 n) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x))))
(+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (*.f64 (/.f64 1 n) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x))))
(+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (*.f64 (/.f64 1 n) (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) n) (neg.f64 (/.f64 (log.f64 x) n)))
(+.f64 (/.f64 (log1p.f64 x) n) (*.f64 1 (neg.f64 (/.f64 (log.f64 x) n))))
(+.f64 (/.f64 (log1p.f64 x) n) (*.f64 (/.f64 1 n) (neg.f64 (log.f64 x))))
(+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (/.f64 (log1p.f64 x) n))
(+.f64 (*.f64 (/.f64 1 n) (neg.f64 (log.f64 x))) (/.f64 (log1p.f64 x) n))
(-.f64 (/.f64 (log1p.f64 x) n) (/.f64 (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)) (/.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 (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))) 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 (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 (-.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))) n))
(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x)))
(*.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 -1 n))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n) (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 1))
(*.f64 (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2))
(*.f64 (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) 1))
(*.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)) (/.f64 1 (sqrt.f64 n)))
(*.f64 (/.f64 1 (sqrt.f64 n)) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.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)) (/.f64 1 (pow.f64 (cbrt.f64 n) 2)))
(*.f64 (/.f64 -1 n) (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n))
(*.f64 (/.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 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (cbrt.f64 n)) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (pow.f64 (cbrt.f64 n) 2)))
(*.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 (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 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (sqrt.f64 n)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (sqrt.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 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) n) (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))
(*.f64 (/.f64 1 (/.f64 n (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2))) (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) n) (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (-.f64 (log1p.f64 x) (log.f64 x)))
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) n) (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (+.f64 (pow.f64 (log1p.f64 x) 2) (-.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log1p.f64 x) (log.f64 x)))))
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) n) (-.f64 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (*.f64 (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))))) (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))))
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) n) (+.f64 (pow.f64 (pow.f64 (log1p.f64 x) 2) 3) (pow.f64 (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))) 3))) (+.f64 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (-.f64 (*.f64 (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))) (*.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))))))
(pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3) 1/3)
(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))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))
(exp.f64 (log.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))
(log1p.f64 (expm1.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)))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 x (*.f64 -1 (log.f64 x)))))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (+.f64 x (neg.f64 (log.f64 x)))))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (-.f64 x (log.f64 x))))
(/.f64 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 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (/.f64 1/2 (*.f64 x x)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 -1/2 (*.f64 x x))))
(-.f64 (+.f64 (*.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 (/.f64 1 x) (/.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 (/.f64 1/2 x) x))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (/.f64 1/2 (*.f64 x x)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 -1/2 (*.f64 x x))))
(-.f64 (+.f64 (*.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 (/.f64 1 x) (/.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))
(/.f64 (neg.f64 (log.f64 x)) n)
(+.f64 (/.f64 x n) (*.f64 -1 (/.f64 (log.f64 x) n)))
(+.f64 (/.f64 x n) (/.f64 (neg.f64 (log.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)))
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(/.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 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3)
(/.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 (/.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))
(fabs.f64 (/.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)
(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)
(expm1.f64 (log1p.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)
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)

localize12.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
2.5b
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 1)
Compiler

Compiled 27 to 19 computations (29.6% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
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)

rewrite68.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
954×associate-*r/
820×*-commutative
680×unswap-sqr
648×associate-*l/
478×swap-sqr
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0925
120215
2269515
Stop Event
node limit
Counts
1 → 81
Calls
Call 1
Inputs
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 1)
Outputs
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3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) -1) (+.f64 -1 (neg.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n))) (neg.f64 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n)))))))))) (#(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 log.f64 (+.f64 1 (expm1.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 exp.f64 (log.f64 (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 fma.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 x 1) (/.f64 1/2 n)) (pow.f64 (+.f64 x 1) (/.f64 1/2 n)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n))) (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) -1)))))

simplify92.0ms (0.5%)

Algorithm
egg-herbie
Rules
1650×associate-/l*
1466×associate-/r*
914×associate-*r/
880×*-commutative
614×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03197381
18897023
232157003
Stop Event
node limit
Counts
105 → 184
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 (sqrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))))
(*.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 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) -1) (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n))) (/.f64 1 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n))))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x 1) (/.f64 1/2 n))) (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1/2 n)) 1))
(*.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1/2 n)) 1) (+.f64 1 (pow.f64 (+.f64 x 1) (/.f64 1/2 n))))
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)))) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) -1))
(*.f64 (/.f64 1 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n))))) (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n))))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) -1) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) -1)) (expm1.f64 (/.f64 (log1p.f64 x) n)))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) -1) (-.f64 1 (pow.f64 (+.f64 x 1) (/.f64 2 n)))) (-.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) -1) (+.f64 1 (pow.f64 (+.f64 x 1) (/.f64 3 n)))) (+.f64 1 (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (expm1.f64 (/.f64 (log1p.f64 x) n)))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n))) (-.f64 (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 3 n))) (*.f64 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))) (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)))))) (-.f64 (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (expm1.f64 (/.f64 (log1p.f64 x) n))) 1))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n))) (+.f64 (pow.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) 3) (pow.f64 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))) 3))) (+.f64 (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 3 n))) (*.f64 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))) (-.f64 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 (+.f64 x 1) (/.f64 2 n))))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)))) (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)))) (*.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)))) (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)))) (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)))) (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) 2))))
(*.f64 (*.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))))) (*.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) 2)) (cbrt.f64 (sqrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) 2)) (cbrt.f64 (sqrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))))))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) 3/2) (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) 3/2))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)) 3) 1/6) (pow.f64 (pow.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)) 3) 1/6))
(/.f64 1 (/.f64 1 (expm1.f64 (/.f64 (log1p.f64 x) n))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (-.f64 1 (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) -1))) (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n)))))
(/.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)) 1)
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) -1) (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))))
(/.f64 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))) (/.f64 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))) (expm1.f64 (/.f64 (log1p.f64 x) n))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n))) (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n))) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (-.f64 1 (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) -1))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n)))) (/.f64 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n)))) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n))))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n)))) (/.f64 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (-.f64 1 (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) -1))) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n))))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) -1)) (/.f64 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) -1))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n)))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n))))) (/.f64 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n)))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n)))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n))))) (/.f64 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (-.f64 1 (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) -1))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) -1)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) -1))) (/.f64 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) -1))))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 (+.f64 x 1) (/.f64 3 n))) 1) (*.f64 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n)))) (+.f64 1 (pow.f64 (+.f64 x 1) (/.f64 3 n)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 (+.f64 x 1) (/.f64 3 n))) 1) (*.f64 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (-.f64 1 (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) -1))) (+.f64 1 (pow.f64 (+.f64 x 1) (/.f64 3 n)))))
(/.f64 (-.f64 (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 3 n))) 1) (*.f64 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))) (+.f64 1 (pow.f64 (+.f64 x 1) (/.f64 2 n)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) 3) 1) (*.f64 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n)))) (+.f64 (*.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 (+.f64 x 1) (/.f64 3 n))) (+.f64 1 (pow.f64 (+.f64 x 1) (/.f64 3 n))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) 3) 1) (*.f64 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (-.f64 1 (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) -1))) (+.f64 (*.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 (+.f64 x 1) (/.f64 3 n))) (+.f64 1 (pow.f64 (+.f64 x 1) (/.f64 3 n))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) 3) 1) (*.f64 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))) (+.f64 (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 3 n))) (+.f64 1 (pow.f64 (+.f64 x 1) (/.f64 2 n))))))
(/.f64 (+.f64 (neg.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n))) 1) (+.f64 -1 (neg.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))))
(/.f64 (+.f64 (neg.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n))) 1) (neg.f64 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n))))))
(/.f64 (*.f64 (sqrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n))))) (sqrt.f64 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n))))))
(/.f64 (*.f64 (sqrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) -1))) (sqrt.f64 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) 2) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n))))) (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) 2) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) -1))) (cbrt.f64 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)))))
(/.f64 (*.f64 (+.f64 (neg.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n))) 1) 1) (+.f64 -1 (neg.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))))
(/.f64 (*.f64 (+.f64 (neg.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n))) 1) 1) (neg.f64 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n)))) (sqrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)))) (sqrt.f64 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) -1)) (sqrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)))) (sqrt.f64 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n)))) (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) 2)) (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) -1)) (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) 2)) (cbrt.f64 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)))))
(/.f64 (*.f64 (-.f64 (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 3 n))) 1) (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))))) (+.f64 1 (pow.f64 (+.f64 x 1) (/.f64 2 n))))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) 3) 1) (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))))) (+.f64 (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 3 n))) (+.f64 1 (pow.f64 (+.f64 x 1) (/.f64 2 n)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 (+.f64 x 1) (/.f64 3 n))) 1) (/.f64 1 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n)))))) (+.f64 1 (pow.f64 (+.f64 x 1) (/.f64 3 n))))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) 3) 1) (/.f64 1 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n)))))) (+.f64 (*.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 (+.f64 x 1) (/.f64 3 n))) (+.f64 1 (pow.f64 (+.f64 x 1) (/.f64 3 n)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) -1) 1) (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) -1) (sqrt.f64 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))))) (sqrt.f64 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) -1) (*.f64 (cbrt.f64 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)))) (cbrt.f64 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)))))) (cbrt.f64 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n))) 1) (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n)))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n))) (sqrt.f64 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n)))))) (sqrt.f64 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n))))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n))) (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n))))) (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n))))))) (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n))))))
(pow.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)) 1)
(pow.f64 (sqrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) 2)
(pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) 3)
(pow.f64 (pow.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)) 3) 1/3)
(neg.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) -1) (+.f64 -1 (neg.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))))
(neg.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n))) (neg.f64 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n)))))))
(sqrt.f64 (pow.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)) 2))
(log.f64 (exp.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))))
(log.f64 (+.f64 1 (expm1.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))
(exp.f64 (log.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))))
(log1p.f64 (expm1.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))))
(fma.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)) -1)
(fma.f64 (pow.f64 (+.f64 x 1) (/.f64 1/2 n)) (pow.f64 (+.f64 x 1) (/.f64 1/2 n)) -1)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n))) (cbrt.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))
(+.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 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.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 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (-.f64 (/.f64 1/3 n) (/.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 (+.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 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (*.f64 x x) (*.f64 (+.f64 (/.f64 1/24 (pow.f64 n 4)) (-.f64 (-.f64 (/.f64 (/.f64 11/24 n) n) (/.f64 1/4 n)) (/.f64 1/4 (pow.f64 n 3)))) (pow.f64 x 4))) (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 1/6 (pow.f64 n 3)) (-.f64 (/.f64 1/3 n) (/.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)))
(-.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 1)
(expm1.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)))
(expm1.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n))
(-.f64 (+.f64 (/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))) 1)
(+.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 x n)) (expm1.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))))
(+.f64 (expm1.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) (/.f64 (exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) (*.f64 x n)))
(-.f64 (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (+.f64 (/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))))) 1)
(+.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)) (expm1.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)))))
(+.f64 (+.f64 (expm1.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) (/.f64 (exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) (*.f64 x n))) (*.f64 (/.f64 (exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x)))
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(/.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) 3) -1) (*.f64 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n)))) (+.f64 (+.f64 (pow.f64 (+.f64 x 1) (*.f64 2 (/.f64 3 n))) 1) (pow.f64 (+.f64 x 1) (/.f64 3 n)))))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) 3)) (*.f64 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n)))) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (+.f64 1 (pow.f64 (+.f64 x 1) (/.f64 6 n))))))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) 3)) (*.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (+.f64 1 (pow.f64 (+.f64 x 1) (/.f64 2 n)))) (+.f64 1 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 (+.f64 x 1) (/.f64 6 n))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) -1) 1) (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 2 n))) (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 2 n))) (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) -1) (sqrt.f64 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))))) (sqrt.f64 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 2 n))) (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 2 n))) (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) -1) (*.f64 (cbrt.f64 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)))) (cbrt.f64 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)))))) (cbrt.f64 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 2 n))) (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 2 n))) (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n))) 1) (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n)))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n))) (/.f64 1 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n))))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n))) (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (+.f64 1 (pow.f64 (+.f64 x 1) (/.f64 2 n)))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n))) (sqrt.f64 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n)))))) (sqrt.f64 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n))))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n))) (/.f64 1 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n))))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n))) (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (+.f64 1 (pow.f64 (+.f64 x 1) (/.f64 2 n)))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n))) (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n))))) (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n))))))) (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n))))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n))) (/.f64 1 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n))))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n))) (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (+.f64 1 (pow.f64 (+.f64 x 1) (/.f64 2 n)))))
(pow.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)) 1)
(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))
(pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) 3)
(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))
(neg.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) -1) (+.f64 -1 (neg.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) (/.f64 2 n))) (-.f64 -1 (exp.f64 (/.f64 (log1p.f64 x) n))))
(neg.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n))) (neg.f64 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n)))))))
(/.f64 (+.f64 1 (neg.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)))) (+.f64 -1 (neg.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n))))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) (/.f64 3 n))) (-.f64 (-.f64 -1 (exp.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 (+.f64 x 1) (/.f64 2 n))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) (/.f64 3 n))) (-.f64 (-.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 2 n))) (exp.f64 (/.f64 (log1p.f64 x) n))))
(sqrt.f64 (pow.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)) 2))
(fabs.f64 (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))
(log.f64 (+.f64 1 (expm1.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))
(exp.f64 (log.f64 (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))
(fma.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)) -1)
(expm1.f64 (/.f64 (log1p.f64 x) n))
(fma.f64 (pow.f64 (+.f64 x 1) (/.f64 1/2 n)) (pow.f64 (+.f64 x 1) (/.f64 1/2 n)) -1)
(*.f64 (+.f64 1 (pow.f64 (+.f64 x 1) (/.f64 1/2 n))) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 1/2 n)) -1))
(+.f64 -1 (pow.f64 (+.f64 x 1) (*.f64 2 (/.f64 1/2 n))))
(+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 1 n)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n))) (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) -1)

localize10.0ms (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)
2.7b
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
Compiler

Compiled 27 to 7 computations (74.1% saved)

series11.0ms (0.1%)

Counts
3 → 48
Calls

18 calls:

TimeVariablePointExpression
4.0ms
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
@0
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
0.0ms
n
@inf
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))

rewrite75.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1576×associate-/l*
1366×associate-*r/
1066×*-commutative
948×associate-*l/
332×distribute-lft-neg-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01053
120349
2276849
Stop Event
node limit
Counts
3 → 145
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 (exp.f64 (log1p.f64 (/.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 1 (*.f64 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 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (*.f64 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 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) (/.f64 (cbrt.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 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simplify101.0ms (0.5%)

Algorithm
egg-herbie
Rules
1452×associate-/l/
972×associate-/r/
608×distribute-lft-neg-in
584×associate-*r*
576×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03435569
18414523
241614507
Stop Event
node limit
Counts
193 → 205
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 (exp.f64 (log1p.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)))) 1)
(*.f64 (pow.f64 x (/.f64 1 n)) (/.f64 1 (*.f64 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 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (*.f64 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 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) (/.f64 (cbrt.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 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) (/.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) (pow.f64 (cbrt.f64 (*.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 (/.f64 (pow.f64 x (/.f64 1 n)) x) (/.f64 1 n))
(*.f64 (/.f64 1 (*.f64 x n)) (pow.f64 x (/.f64 1 n)))
(*.f64 (/.f64 1 n) (/.f64 (pow.f64 x (/.f64 1 n)) x))
(*.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (/.f64 1 (*.f64 x (neg.f64 n))))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (*.f64 x n)) (sqrt.f64 (pow.f64 x (/.f64 1 n))))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (*.f64 x n)) (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) 1))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (*.f64 x n)) (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (*.f64 x n)) (/.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) 1))
(*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n) (/.f64 1 x))
(*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (sqrt.f64 (*.f64 x n))) (/.f64 1 (sqrt.f64 (*.f64 x n))))
(*.f64 (/.f64 1 x) (/.f64 (pow.f64 x (/.f64 1 n)) n))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 x n))) (/.f64 (pow.f64 x (/.f64 1 n)) (sqrt.f64 (*.f64 x n))))
(*.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 x (/.f64 1 n)) (cbrt.f64 (*.f64 x n))) (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x n)) 2)))
(*.f64 (/.f64 1 (*.f64 x (neg.f64 n))) (neg.f64 (pow.f64 x (/.f64 1 n))))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) x) (/.f64 (sqrt.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 (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))) (pow.f64 (cbrt.f64 (*.f64 x n)) 2)) (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (cbrt.f64 (*.f64 x n))))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (cbrt.f64 (*.f64 x n))) (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 (cbrt.f64 (*.f64 x n)) 2)))
(*.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 (cbrt.f64 (pow.f64 x (/.f64 1 n))) n) (/.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 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))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) x) (/.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) 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 (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))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (sqrt.f64 (*.f64 x n))) (/.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) (sqrt.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 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) (*.f64 x n)) (cbrt.f64 (pow.f64 x (/.f64 1 n))))
(*.f64 (/.f64 1 (/.f64 (*.f64 x n) (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2))) (cbrt.f64 (pow.f64 x (/.f64 1 n))))
(pow.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) 1)
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) 2)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) 3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) 3) 1/3)
(pow.f64 (*.f64 (/.f64 x (pow.f64 x (/.f64 1 n))) n) -1)
(neg.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x (neg.f64 n))))
(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))))
(log.f64 (+.f64 1 (expm1.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))))
(exp.f64 (-.f64 (/.f64 (log.f64 x) n) (log.f64 (*.f64 x n))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))))
(+.f64 (/.f64 (log.f64 x) n) 0)
(+.f64 (log.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (log.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2)))
(+.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 0 (/.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)))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2))) (log.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))))) (log.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n)))))
(+.f64 (*.f64 (/.f64 1 n) 0) (/.f64 (log.f64 x) n))
(+.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2))) (*.f64 1 (log.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))))))
(+.f64 (*.f64 1 (log.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))))) (*.f64 1 (log.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))))))
(+.f64 (*.f64 (/.f64 1 n) (log.f64 (pow.f64 (cbrt.f64 x) 2))) (*.f64 (/.f64 1 n) (log.f64 (cbrt.f64 x))))
(+.f64 (*.f64 (/.f64 1 n) (log.f64 (sqrt.f64 x))) (*.f64 (/.f64 1 n) (log.f64 (sqrt.f64 x))))
(+.f64 (*.f64 0 (/.f64 1 n)) (/.f64 (log.f64 x) n))
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2)) 1) (*.f64 (log.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))) 1))
(+.f64 (*.f64 (log.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n)))) 1) (*.f64 (log.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n)))) 1))
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 n)) (*.f64 (log.f64 (cbrt.f64 x)) (/.f64 1 n)))
(+.f64 (*.f64 (log.f64 (sqrt.f64 x)) (/.f64 1 n)) (*.f64 (log.f64 (sqrt.f64 x)) (/.f64 1 n)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 x) n))) 1)
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (/.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 (sqrt.f64 (log.f64 x)) (/.f64 (sqrt.f64 (log.f64 x)) n))
(*.f64 (sqrt.f64 (/.f64 (log.f64 x) n)) (sqrt.f64 (/.f64 (log.f64 x) n)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (/.f64 (cbrt.f64 (log.f64 x)) n))
(*.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) 2))
(*.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (pow.f64 (cbrt.f64 n) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) 2) (cbrt.f64 (/.f64 (log.f64 x) n)))
(*.f64 (/.f64 1 n) (log.f64 x))
(*.f64 (neg.f64 (log.f64 x)) (/.f64 1 (neg.f64 n)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 x)) n) (sqrt.f64 (log.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 x)) n) (/.f64 (sqrt.f64 (log.f64 x)) 1))
(*.f64 (/.f64 (cbrt.f64 (log.f64 x)) n) (pow.f64 (cbrt.f64 (log.f64 x)) 2))
(*.f64 (/.f64 (cbrt.f64 (log.f64 x)) n) (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) 1))
(*.f64 (/.f64 1 (sqrt.f64 n)) (/.f64 (log.f64 x) (sqrt.f64 n)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (log.f64 x) (cbrt.f64 n)))
(*.f64 (/.f64 (log.f64 x) (sqrt.f64 n)) (/.f64 1 (sqrt.f64 n)))
(*.f64 (/.f64 (log.f64 x) (cbrt.f64 n)) (/.f64 1 (pow.f64 (cbrt.f64 n) 2)))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n)))))
(*.f64 (/.f64 1 (neg.f64 n)) (neg.f64 (log.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 x)) 1) (/.f64 (sqrt.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 (sqrt.f64 (log.f64 x)) (cbrt.f64 n)) (/.f64 (sqrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 n) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) 1) (/.f64 (cbrt.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 (/.f64 (cbrt.f64 (log.f64 x)) (sqrt.f64 n)) (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (sqrt.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 (pow.f64 (cbrt.f64 (log.f64 x)) 2) n) (cbrt.f64 (log.f64 x)))
(*.f64 (/.f64 1 (/.f64 n (pow.f64 (cbrt.f64 (log.f64 x)) 2))) (cbrt.f64 (log.f64 x)))
(pow.f64 (/.f64 (log.f64 x) n) 1)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 x) n)) 2)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 x) n) 3) 1/3)
(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)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 x) 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)))
(exp.f64 (log.f64 (/.f64 (log.f64 x) n)))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x (/.f64 1 n)))) 1)
(*.f64 (pow.f64 x (/.f64 1 n)) 1)
(*.f64 1 (pow.f64 x (/.f64 1 n)))
(*.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (sqrt.f64 (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 -1 (neg.f64 (pow.f64 x (/.f64 1 n))))
(*.f64 (neg.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (neg.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n)))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2)) (neg.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))))
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 (pow.f64 x (/.f64 1 n))))) (sqrt.f64 (neg.f64 (pow.f64 x (/.f64 1 n)))))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 x (/.f64 1 n)))) (cbrt.f64 (neg.f64 (pow.f64 x (/.f64 1 n)))))) (cbrt.f64 (neg.f64 (pow.f64 x (/.f64 1 n)))))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))))) (sqrt.f64 (pow.f64 x (/.f64 1 n))))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2))) (cbrt.f64 (pow.f64 x (/.f64 1 n))))
(pow.f64 x (/.f64 1 n))
(pow.f64 (pow.f64 x (/.f64 1 n)) 1)
(pow.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) 2)
(pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 3)
(pow.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 3) 1/3)
(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)))
(neg.f64 (neg.f64 (pow.f64 x (/.f64 1 n))))
(sqrt.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 2))
(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 (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))
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(/.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) 1) (/.f64 (cbrt.f64 (log.f64 x)) 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)))
(*.f64 (/.f64 1 (sqrt.f64 n)) (/.f64 (log.f64 x) (sqrt.f64 n)))
(/.f64 (/.f64 (log.f64 x) (sqrt.f64 n)) (sqrt.f64 n))
(/.f64 (log.f64 x) (*.f64 (sqrt.f64 n) (sqrt.f64 n)))
(*.f64 (/.f64 (cbrt.f64 (log.f64 x)) (sqrt.f64 n)) (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (sqrt.f64 n)))
(*.f64 (/.f64 1 (sqrt.f64 n)) (/.f64 (log.f64 x) (sqrt.f64 n)))
(/.f64 (/.f64 (log.f64 x) (sqrt.f64 n)) (sqrt.f64 n))
(/.f64 (log.f64 x) (*.f64 (sqrt.f64 n) (sqrt.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 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (/.f64 (log.f64 x) n))) (pow.f64 (cbrt.f64 n) 2))
(/.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) (/.f64 (pow.f64 (cbrt.f64 n) 2) (pow.f64 (cbrt.f64 (log.f64 x)) 2)))
(*.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 (pow.f64 (cbrt.f64 (log.f64 x)) 2) n) (cbrt.f64 (log.f64 x)))
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))
(/.f64 (log.f64 x) n)
(*.f64 (/.f64 1 (/.f64 n (pow.f64 (cbrt.f64 (log.f64 x)) 2))) (cbrt.f64 (log.f64 x)))
(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 (sqrt.f64 (/.f64 (log.f64 x) n)) 2)
(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 (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 (/.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))
(fabs.f64 (/.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)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 x) 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)
(exp.f64 (log.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)
(-.f64 (exp.f64 (log1p.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 (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 (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))
(*.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 (cbrt.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))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) (cbrt.f64 (pow.f64 x (/.f64 1 n))))
(exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)))
(pow.f64 x (/.f64 1 n))
(*.f64 -1 (neg.f64 (pow.f64 x (/.f64 1 n))))
(exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)))
(pow.f64 x (/.f64 1 n))
(*.f64 (neg.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (neg.f64 (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))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2)) (neg.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))))
(exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)))
(pow.f64 x (/.f64 1 n))
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 (pow.f64 x (/.f64 1 n))))) (sqrt.f64 (neg.f64 (pow.f64 x (/.f64 1 n)))))
(exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)))
(pow.f64 x (/.f64 1 n))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 x (/.f64 1 n)))) (cbrt.f64 (neg.f64 (pow.f64 x (/.f64 1 n)))))) (cbrt.f64 (neg.f64 (pow.f64 x (/.f64 1 n)))))
(exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)))
(pow.f64 x (/.f64 1 n))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))))) (sqrt.f64 (pow.f64 x (/.f64 1 n))))
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(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2))) (cbrt.f64 (pow.f64 x (/.f64 1 n))))
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(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 (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)))
(exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)))
(pow.f64 x (/.f64 1 n))
(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)))
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(pow.f64 x (/.f64 1 n))
(neg.f64 (neg.f64 (pow.f64 x (/.f64 1 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))
(fabs.f64 (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))
(log.f64 (+.f64 1 (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))
(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)))
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localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(pow.f64 x (/.f64 1 n))
0.1b
(/.f64 (log1p.f64 x) n)
3.9b
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
Compiler

Compiled 35 to 15 computations (57.1% saved)

series3.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite96.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1390×associate-*r/
1066×associate-*l/
868×associate-/r*
686×associate-/l*
526×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01244
125244
2328744
Stop Event
node limit
Counts
2 → 167
Calls
Call 1
Inputs
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
(/.f64 (log1p.f64 x) n)
Outputs
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cbrt.f64 (*.f64 (pow.f64 (log1p.f64 x) 3) (/.f64 1 (pow.f64 n 3))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log1p.f64 x) n)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log1p.f64 x) n)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 x) n)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)))))))

simplify164.0ms (0.8%)

Algorithm
egg-herbie
Rules
1248×associate-+l-
1020×associate-+r-
766×fma-def
556×associate-/l*
540×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
058915129
1167514161
2703114161
Stop Event
node limit
Counts
215 → 321
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)))))
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(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (log.f64 (+.f64 1 x))) (*.f64 -1 (log.f64 x))) n))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (log.f64 (+.f64 1 x))) (*.f64 -1 (log.f64 x))) n))) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1/6 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (*.f64 -1/6 (pow.f64 (log.f64 x) 3))) (pow.f64 n 3))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (log.f64 (+.f64 1 x))) (*.f64 -1 (log.f64 x))) n)))) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 4) (pow.f64 n 4))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1/6 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (*.f64 -1/6 (pow.f64 (log.f64 x) 3))) (pow.f64 n 3))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (log.f64 (+.f64 1 x))) (*.f64 -1 (log.f64 x))) n))))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)))))
(/.f64 x n)
(+.f64 (/.f64 x n) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n)))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) n)) (+.f64 (/.f64 x n) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n))))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) n)) (+.f64 (/.f64 x n) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 x 4) n)) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n)))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))
(+.f64 (/.f64 1 (*.f64 n x)) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))
(-.f64 (+.f64 (/.f64 1 (*.f64 n x)) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (+.f64 (/.f64 1 (*.f64 n x)) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)
(+.f64 (/.f64 (log.f64 -1) n) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) n)) (/.f64 1 (*.f64 n x))))
(-.f64 (+.f64 (/.f64 (log.f64 -1) n) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) n)) (/.f64 1 (*.f64 n x)))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 (log.f64 -1) n) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) n)) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (/.f64 1 (*.f64 n x))))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(/.f64 (log.f64 (+.f64 1 x)) n)
(/.f64 (log.f64 (+.f64 1 x)) n)
(/.f64 (log.f64 (+.f64 1 x)) n)
(/.f64 (log.f64 (+.f64 1 x)) n)
(/.f64 (log.f64 (+.f64 1 x)) n)
(/.f64 (log.f64 (+.f64 1 x)) n)
(/.f64 (log.f64 (+.f64 1 x)) n)
(/.f64 (log.f64 (+.f64 1 x)) n)
(/.f64 (log.f64 (+.f64 1 x)) n)
(/.f64 (log.f64 (+.f64 1 x)) n)
(/.f64 (log.f64 (+.f64 1 x)) n)
(/.f64 (log.f64 (+.f64 1 x)) n)
(+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (pow.f64 x (/.f64 1 n))))
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(*.f64 (/.f64 (log1p.f64 x) 1) (/.f64 1 n))
(*.f64 (/.f64 (log1p.f64 x) (sqrt.f64 n)) (pow.f64 n -1/2))
(*.f64 (/.f64 (log1p.f64 x) (pow.f64 (cbrt.f64 n) 2)) (/.f64 1 (cbrt.f64 n)))
(*.f64 (/.f64 (log1p.f64 x) (neg.f64 n)) -1)
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) 1) (/.f64 (sqrt.f64 (log1p.f64 x)) n))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) n) (sqrt.f64 (log1p.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 n)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) 1) (/.f64 (cbrt.f64 (log1p.f64 x)) n))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (sqrt.f64 n)) (/.f64 (cbrt.f64 (log1p.f64 x)) (sqrt.f64 n)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (/.f64 (log1p.f64 x) n)))
(*.f64 (/.f64 (/.f64 (log1p.f64 x) 1) 1) (/.f64 1 n))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) n) (cbrt.f64 (log1p.f64 x)))
(*.f64 (/.f64 1 (/.f64 n (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))) (cbrt.f64 (log1p.f64 x)))
(pow.f64 (/.f64 (log1p.f64 x) n) 1)
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 x) n)) 2)
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) n)) 3)
(pow.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 3) 1/3)
(pow.f64 (/.f64 n (log1p.f64 x)) -1)
(neg.f64 (/.f64 (log1p.f64 x) (neg.f64 n)))
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2))
(log.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log1p.f64 x) n))))
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 3))
(cbrt.f64 (*.f64 (pow.f64 (log1p.f64 x) 3) (/.f64 1 (pow.f64 n 3))))
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 x) n)))
(exp.f64 (log.f64 (/.f64 (log1p.f64 x) n)))
(exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 x) n)) 1))
(log1p.f64 (expm1.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 (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 (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)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 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 (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)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x)) (+.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)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x)) (+.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 (/.f64 (/.f64 11/24 n) n) (/.f64 1/4 n)) (/.f64 1/4 (pow.f64 n 3)))) (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)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 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 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 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 -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 (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)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 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)) (pow.f64 x 4)) (+.f64 (/.f64 1/24 (pow.f64 n 4)) (-.f64 (-.f64 (/.f64 (/.f64 11/24 n) n) (/.f64 1/4 n)) (/.f64 1/4 (pow.f64 n 3))))))
(-.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 (log1p.f64 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 (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 (fma.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (*.f64 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) -1/2))
(-.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 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (+.f64 (/.f64 (log.f64 x) n) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (/.f64 (*.f64 1/6 (pow.f64 (log.f64 x) 3)) (pow.f64 n 3)))))
(-.f64 (+.f64 (fma.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (*.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (fma.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)) (/.f64 (*.f64 1/2 (pow.f64 (log.f64 x) 2)) (*.f64 n n))))
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(cbrt.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 3))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
(expm1.f64 (log1p.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
(-.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)))))
(-.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))
(-.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)))))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
(fma.f64 1 (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 (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))))
(-.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)))
(+.f64 (/.f64 (log1p.f64 x) n) 0)
(/.f64 (log1p.f64 x) n)
(+.f64 0 (/.f64 (log1p.f64 x) n))
(/.f64 (log1p.f64 x) n)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) 2)))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) 2))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))))
(+.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) 2))) (*.f64 1 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))))
(+.f64 (*.f64 1 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))) (*.f64 1 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))))
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) 2)) 1) (*.f64 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) 1))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))))
(+.f64 (*.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) 1) (*.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) 1))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 x) n))) 1)
(/.f64 (log1p.f64 x) n)
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 x) n)))) 1)
(/.f64 (log1p.f64 x) n)
(*.f64 (log1p.f64 x) (/.f64 1 n))
(/.f64 (log1p.f64 x) n)
(*.f64 (/.f64 (log1p.f64 x) n) 1)
(/.f64 (log1p.f64 x) n)
(*.f64 1 (/.f64 (log1p.f64 x) n))
(/.f64 (log1p.f64 x) n)
(*.f64 (/.f64 1 n) (log1p.f64 x))
(/.f64 (log1p.f64 x) n)
(*.f64 (sqrt.f64 (log1p.f64 x)) (/.f64 (sqrt.f64 (log1p.f64 x)) n))
(/.f64 (log1p.f64 x) n)
(*.f64 (pow.f64 n -1/2) (/.f64 (log1p.f64 x) (sqrt.f64 n)))
(/.f64 (pow.f64 n -1/2) (/.f64 (sqrt.f64 n) (log1p.f64 x)))
(*.f64 (sqrt.f64 (/.f64 (log1p.f64 x) n)) (sqrt.f64 (/.f64 (log1p.f64 x) n)))
(/.f64 (log1p.f64 x) n)
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (*.f64 (cbrt.f64 (log1p.f64 x)) (/.f64 1 n)))
(/.f64 (log1p.f64 x) n)
(*.f64 (cbrt.f64 (pow.f64 n -2)) (/.f64 (log1p.f64 x) (cbrt.f64 n)))
(/.f64 (cbrt.f64 (pow.f64 n -2)) (/.f64 (cbrt.f64 n) (log1p.f64 x)))
(*.f64 (cbrt.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) n)) 2))
(/.f64 (log1p.f64 x) n)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) n)) 2) (cbrt.f64 (/.f64 (log1p.f64 x) n)))
(/.f64 (log1p.f64 x) n)
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))))
(*.f64 (neg.f64 (log1p.f64 x)) (/.f64 -1 n))
(/.f64 (log1p.f64 x) n)
(*.f64 (*.f64 (log1p.f64 x) (cbrt.f64 (pow.f64 n -2))) (/.f64 1 (cbrt.f64 n)))
(*.f64 (cbrt.f64 (pow.f64 n -2)) (/.f64 (log1p.f64 x) (cbrt.f64 n)))
(/.f64 (cbrt.f64 (pow.f64 n -2)) (/.f64 (cbrt.f64 n) (log1p.f64 x)))
(*.f64 (/.f64 -1 n) (neg.f64 (log1p.f64 x)))
(/.f64 (log1p.f64 x) n)
(*.f64 (/.f64 (log1p.f64 x) 1) (/.f64 1 n))
(/.f64 (log1p.f64 x) n)
(*.f64 (/.f64 (log1p.f64 x) (sqrt.f64 n)) (pow.f64 n -1/2))
(*.f64 (pow.f64 n -1/2) (/.f64 (log1p.f64 x) (sqrt.f64 n)))
(/.f64 (pow.f64 n -1/2) (/.f64 (sqrt.f64 n) (log1p.f64 x)))
(*.f64 (/.f64 (log1p.f64 x) (pow.f64 (cbrt.f64 n) 2)) (/.f64 1 (cbrt.f64 n)))
(*.f64 (/.f64 1 (cbrt.f64 n)) (/.f64 (log1p.f64 x) (pow.f64 (cbrt.f64 n) 2)))
(/.f64 (/.f64 (log1p.f64 x) (cbrt.f64 n)) (pow.f64 (cbrt.f64 n) 2))
(*.f64 (/.f64 (log1p.f64 x) (neg.f64 n)) -1)
(/.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 (/.f64 (sqrt.f64 (log1p.f64 x)) n) (sqrt.f64 (log1p.f64 x)))
(/.f64 (log1p.f64 x) n)
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 n)))
(*.f64 (/.f64 1 (cbrt.f64 n)) (/.f64 (log1p.f64 x) (pow.f64 (cbrt.f64 n) 2)))
(/.f64 (/.f64 (log1p.f64 x) (cbrt.f64 n)) (pow.f64 (cbrt.f64 n) 2))
(*.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 (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 (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 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (/.f64 (pow.f64 (cbrt.f64 n) 2) (cbrt.f64 (/.f64 (log1p.f64 x) n))))
(*.f64 (/.f64 (/.f64 (log1p.f64 x) 1) 1) (/.f64 1 n))
(/.f64 (log1p.f64 x) n)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) n) (cbrt.f64 (log1p.f64 x)))
(/.f64 (log1p.f64 x) n)
(*.f64 (/.f64 1 (/.f64 n (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))) (cbrt.f64 (log1p.f64 x)))
(/.f64 (log1p.f64 x) n)
(pow.f64 (/.f64 (log1p.f64 x) n) 1)
(/.f64 (log1p.f64 x) n)
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 x) n)) 2)
(/.f64 (log1p.f64 x) n)
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) n)) 3)
(/.f64 (log1p.f64 x) n)
(pow.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 3) 1/3)
(/.f64 (log1p.f64 x) n)
(pow.f64 (/.f64 n (log1p.f64 x)) -1)
(/.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) (/.f64 1 (pow.f64 n 3))))
(/.f64 (log1p.f64 x) n)
(expm1.f64 (log1p.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)
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)))
(/.f64 (log1p.f64 x) n)

localize34.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.4b
(/.f64 1/2 (*.f64 n n))
2.7b
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
3.2b
(/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x)
6.3b
(*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x))
Compiler

Compiled 115 to 41 computations (64.3% saved)

series39.0ms (0.2%)

Counts
3 → 60
Calls

15 calls:

TimeVariablePointExpression
31.0ms
n
@inf
(/.f64 1/2 (*.f64 n n))
2.0ms
x
@0
(*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x))
1.0ms
n
@0
(*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x))
1.0ms
n
@inf
(*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x))
1.0ms
n
@-inf
(*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x))

rewrite118.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1646×associate-/l/
1474×associate-/r/
388×add-sqr-sqrt
376×pow1
376×*-un-lft-identity
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017101
137991
2554391
Stop Event
node limit
Counts
3 → 232
Calls
Call 1
Inputs
(*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x))
(/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x)
(/.f64 1/2 (*.f64 n n))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x) (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x (/.f64 1 n)) (/.f64 (*.f64 x x) (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x (/.f64 x (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x (/.f64 1 n)) (*.f64 (/.f64 x (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n))) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x) (/.f64 x (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) (*.f64 x (/.f64 x (pow.f64 x (/.f64 1 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) (*.f64 (/.f64 x (pow.f64 x (/.f64 1 n))) x))))) 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simplify152.0ms (0.8%)

Algorithm
egg-herbie
Rules
1612×associate-/r*
1320×associate-/l*
1284×associate-*l*
1050×*-commutative
560×associate-*l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
075217932
1233017238
Stop Event
node limit
Counts
292 → 381
Calls
Call 1
Inputs
(/.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2))
(/.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2))
(/.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2))
(/.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (-.f64 (*.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 (*.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 (*.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 (*.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 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2))
(/.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 (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 (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 (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 1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 (pow.f64 n 2) (pow.f64 x 2))))
(+.f64 (*.f64 -1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n (pow.f64 x 2)))) (*.f64 1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 (pow.f64 n 2) (pow.f64 x 2)))))
(+.f64 (*.f64 -1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n (pow.f64 x 2)))) (*.f64 1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 (pow.f64 n 2) (pow.f64 x 2)))))
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(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) (cbrt.f64 x)))
(*.f64 (/.f64 1 (neg.f64 x)) (neg.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n))) 1) (/.f64 (sqrt.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n))) x))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n))) x) (sqrt.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n))) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n))) 2) 1) (/.f64 (cbrt.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n))) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x)))
(*.f64 (/.f64 1 (/.f64 x (sqrt.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n))))) (sqrt.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n))))
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n))) 2))) (cbrt.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n))) 2) x) (cbrt.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n))))
(*.f64 (/.f64 (*.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) (/.f64 1 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)))
(*.f64 (/.f64 (*.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) (/.f64 1 x)) (-.f64 (/.f64 1/8 (pow.f64 (*.f64 n n) 3)) (pow.f64 (/.f64 -1/2 n) 3))) (+.f64 (/.f64 1/4 (pow.f64 n 4)) (+.f64 (/.f64 1/4 (*.f64 n n)) (/.f64 -1/4 (pow.f64 n 3)))))
(*.f64 (/.f64 (*.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) (/.f64 1 x)) (-.f64 (*.f64 n 1/2) (*.f64 n (*.f64 n -1/2)))) (pow.f64 n 3))
(*.f64 (/.f64 (*.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) (/.f64 1 x)) (-.f64 (/.f64 1/2 n) -1/2)) n)
(*.f64 (/.f64 (*.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) (/.f64 1 x)) (-.f64 (*.f64 1/2 (neg.f64 n)) (*.f64 (*.f64 n n) 1/2))) (*.f64 (*.f64 n n) (neg.f64 n)))
(*.f64 (/.f64 (*.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) (/.f64 1 x)) (-.f64 (*.f64 1/2 (*.f64 n -2)) (*.f64 n n))) (*.f64 (*.f64 n n) (*.f64 n -2)))
(*.f64 (/.f64 (*.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) (/.f64 1 x)) (-.f64 (*.f64 -1/2 (neg.f64 n)) (*.f64 (*.f64 n (neg.f64 n)) 1/2))) (*.f64 (*.f64 n (neg.f64 n)) (neg.f64 n)))
(*.f64 (/.f64 (*.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) (/.f64 1 x)) (-.f64 (*.f64 -1/2 n) (*.f64 (*.f64 n (neg.f64 n)) -1/2))) (*.f64 (*.f64 n (neg.f64 n)) n))
(*.f64 (/.f64 (*.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) (/.f64 1 x)) (-.f64 (*.f64 -1/2 (*.f64 n -2)) (*.f64 (*.f64 n (neg.f64 n)) 1))) (*.f64 (*.f64 n (neg.f64 n)) (*.f64 n -2)))
(*.f64 (/.f64 (*.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) (/.f64 1 x)) (-.f64 (neg.f64 n) (*.f64 (*.f64 (*.f64 n n) 2) 1/2))) (*.f64 (*.f64 (*.f64 n n) 2) (neg.f64 n)))
(*.f64 (/.f64 (*.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) (/.f64 1 x)) (-.f64 n (*.f64 (*.f64 (*.f64 n n) 2) -1/2))) (*.f64 (*.f64 (*.f64 n n) 2) n))
(*.f64 (/.f64 (*.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) (/.f64 1 x)) (-.f64 (*.f64 n -2) (*.f64 (*.f64 (*.f64 n n) 2) 1))) (*.f64 (*.f64 (*.f64 n n) 2) (*.f64 n -2)))
(*.f64 (/.f64 (*.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) (/.f64 1 x)) (-.f64 (*.f64 (/.f64 1/2 n) (neg.f64 n)) (*.f64 n 1/2))) (*.f64 n (neg.f64 n)))
(*.f64 (/.f64 (*.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) (/.f64 1 x)) (-.f64 (*.f64 (/.f64 1/2 n) n) (*.f64 n -1/2))) (*.f64 n n))
(*.f64 (/.f64 (*.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) (/.f64 1 x)) (-.f64 (*.f64 (/.f64 1/2 n) (*.f64 n -2)) n)) (*.f64 n (*.f64 n -2)))
(*.f64 (/.f64 (*.f64 (+.f64 (/.f64 1/8 (pow.f64 (*.f64 n n) 3)) (pow.f64 (/.f64 -1/2 n) 3)) (/.f64 1 x)) (-.f64 (*.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (pow.f64 n 4))) (*.f64 (-.f64 (/.f64 1/4 (*.f64 n n)) (/.f64 -1/4 (pow.f64 n 3))) (-.f64 (/.f64 1/4 (*.f64 n n)) (/.f64 -1/4 (pow.f64 n 3)))))) (+.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) (/.f64 -1/4 (pow.f64 n 3))))
(*.f64 (/.f64 (*.f64 (+.f64 (/.f64 1/8 (pow.f64 (*.f64 n n) 3)) (pow.f64 (/.f64 -1/2 n) 3)) (/.f64 1 x)) (+.f64 (pow.f64 (/.f64 1/4 (pow.f64 n 4)) 3) (pow.f64 (-.f64 (/.f64 1/4 (*.f64 n n)) (/.f64 -1/4 (pow.f64 n 3))) 3))) (+.f64 (*.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (pow.f64 n 4))) (-.f64 (*.f64 (-.f64 (/.f64 1/4 (*.f64 n n)) (/.f64 -1/4 (pow.f64 n 3))) (-.f64 (/.f64 1/4 (*.f64 n n)) (/.f64 -1/4 (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)))))))
(pow.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x) 1)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x)) 2)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x)) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x) 3) 1/3)
(pow.f64 (/.f64 x (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n))) -1)
(neg.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x)))
(exp.f64 (log.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x)) 1))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/2 (*.f64 n n)))) 1)
(*.f64 1/2 (pow.f64 n -2))
(*.f64 (/.f64 1/2 (*.f64 n n)) 1)
(*.f64 -1/2 (/.f64 1 (*.f64 n (neg.f64 n))))
(*.f64 1 (/.f64 1/2 (*.f64 n n)))
(*.f64 (/.f64 (sqrt.f64 1/2) n) (/.f64 (sqrt.f64 1/2) n))
(*.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 (*.f64 n n))))
(*.f64 (/.f64 1/2 n) (/.f64 1 n))
(*.f64 (/.f64 1 n) (/.f64 1/2 n))
(*.f64 (pow.f64 n -2) 1/2)
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 n 4))) (/.f64 1/2 (pow.f64 (cbrt.f64 n) 2)))
(*.f64 (/.f64 1 (*.f64 n (neg.f64 n))) -1/2)
(pow.f64 (/.f64 1/2 (*.f64 n n)) 1)
(pow.f64 (/.f64 (sqrt.f64 1/2) n) 2)
(pow.f64 (cbrt.f64 (/.f64 1/2 (*.f64 n n))) 3)
(pow.f64 (*.f64 (*.f64 n n) 2) -1)
(pow.f64 (/.f64 1/8 (pow.f64 (*.f64 n n) 3)) 1/3)
(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 (*.f64 n n)))))
(cbrt.f64 (/.f64 1/8 (pow.f64 (*.f64 n n) 3)))
(expm1.f64 (log1p.f64 (/.f64 1/2 (*.f64 n n))))
(exp.f64 (log.f64 (/.f64 1/2 (*.f64 n n))))
(exp.f64 (*.f64 (log.f64 (/.f64 1/2 (*.f64 n n))) 1))
(log1p.f64 (expm1.f64 (/.f64 1/2 (*.f64 n n))))
Outputs
(/.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (*.f64 x x) (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n))))
(*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x x)) (+.f64 (/.f64 -1/2 n) (/.f64 1/2 (*.f64 n n))))
(/.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (*.f64 x x) (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n))))
(*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x x)) (+.f64 (/.f64 -1/2 n) (/.f64 1/2 (*.f64 n n))))
(/.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (*.f64 x x) (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n))))
(*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x x)) (+.f64 (/.f64 -1/2 n) (/.f64 1/2 (*.f64 n n))))
(/.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (*.f64 x x) (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n))))
(*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x x)) (+.f64 (/.f64 -1/2 n) (/.f64 1/2 (*.f64 n n))))
(/.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 (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 (*.f64 x x) (+.f64 (/.f64 -1/2 n) (/.f64 1/2 (*.f64 n n)))))
(/.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 (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 (*.f64 x x) (+.f64 (/.f64 -1/2 n) (/.f64 1/2 (*.f64 n n)))))
(/.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 (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 (*.f64 x x) (+.f64 (/.f64 -1/2 n) (/.f64 1/2 (*.f64 n n)))))
(/.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 (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 (*.f64 x x) (+.f64 (/.f64 -1/2 n) (/.f64 1/2 (*.f64 n n)))))
(/.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 (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 x)) (+.f64 (/.f64 -1/2 n) (/.f64 1/2 (*.f64 n n))))
(/.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 (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 x)) (+.f64 (/.f64 -1/2 n) (/.f64 1/2 (*.f64 n n))))
(/.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 (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 x)) (+.f64 (/.f64 -1/2 n) (/.f64 1/2 (*.f64 n n))))
(/.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 (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 x)) (+.f64 (/.f64 -1/2 n) (/.f64 1/2 (*.f64 n n))))
(*.f64 1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 (pow.f64 n 2) (pow.f64 x 2))))
(*.f64 1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 (*.f64 x x) (*.f64 n n))))
(*.f64 1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x (*.f64 n (*.f64 x n)))))
(+.f64 (*.f64 -1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n (pow.f64 x 2)))) (*.f64 1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 (pow.f64 n 2) (pow.f64 x 2)))))
(fma.f64 -1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n (*.f64 x x))) (*.f64 1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 (*.f64 x x) (*.f64 n n)))))
(fma.f64 -1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x (*.f64 x n))) (*.f64 1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x (*.f64 n (*.f64 x n))))))
(+.f64 (*.f64 -1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n (pow.f64 x 2)))) (*.f64 1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 (pow.f64 n 2) (pow.f64 x 2)))))
(fma.f64 -1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n (*.f64 x x))) (*.f64 1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 (*.f64 x x) (*.f64 n n)))))
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(*.f64 (*.f64 1 (pow.f64 n 3)) (/.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) (*.f64 (*.f64 n (-.f64 1/2 (*.f64 n -1/2))) x)))
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(*.f64 (neg.f64 (pow.f64 n 3)) (/.f64 (/.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) x) (-.f64 (*.f64 1/2 (neg.f64 n)) (*.f64 n (*.f64 n 1/2)))))
(*.f64 (neg.f64 (pow.f64 n 3)) (/.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) (*.f64 (*.f64 1/2 (*.f64 n (-.f64 -1 n))) x)))
(*.f64 (/.f64 (*.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) (/.f64 1 x)) (-.f64 (*.f64 -1/2 (*.f64 n -2)) (*.f64 (*.f64 n (neg.f64 n)) 1))) (*.f64 (*.f64 n (neg.f64 n)) (*.f64 n -2)))
(*.f64 (*.f64 (neg.f64 (pow.f64 n 3)) -2) (/.f64 (/.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) x) (-.f64 (*.f64 n 1) (*.f64 n (neg.f64 n)))))
(*.f64 (*.f64 -2 (neg.f64 (pow.f64 n 3))) (/.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) (*.f64 (*.f64 n (-.f64 1 (neg.f64 n))) x)))
(*.f64 (/.f64 (*.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) (/.f64 1 x)) (-.f64 (neg.f64 n) (*.f64 (*.f64 (*.f64 n n) 2) 1/2))) (*.f64 (*.f64 (*.f64 n n) 2) (neg.f64 n)))
(*.f64 (*.f64 (pow.f64 n 3) -2) (/.f64 (/.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) x) (-.f64 (*.f64 n -1) (*.f64 n n))))
(*.f64 (*.f64 (pow.f64 n 3) -2) (/.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) (*.f64 (*.f64 n (-.f64 -1 n)) x)))
(*.f64 (/.f64 (*.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) (/.f64 1 x)) (-.f64 n (*.f64 (*.f64 (*.f64 n n) 2) -1/2))) (*.f64 (*.f64 (*.f64 n n) 2) n))
(*.f64 (*.f64 (pow.f64 n 3) 2) (/.f64 (/.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) x) (-.f64 n (*.f64 (*.f64 n n) -1))))
(*.f64 (*.f64 2 (pow.f64 n 3)) (/.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) (*.f64 (-.f64 n (*.f64 n (neg.f64 n))) x)))
(*.f64 (/.f64 (*.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) (/.f64 1 x)) (-.f64 (*.f64 n -2) (*.f64 (*.f64 (*.f64 n n) 2) 1))) (*.f64 (*.f64 (*.f64 n n) 2) (*.f64 n -2)))
(*.f64 (*.f64 (*.f64 (pow.f64 n 3) -2) 2) (/.f64 (/.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) x) (-.f64 (*.f64 n -2) (*.f64 n (*.f64 n 2)))))
(*.f64 (*.f64 (pow.f64 n 3) -4) (/.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) (*.f64 (*.f64 n (-.f64 -2 (*.f64 n 2))) x)))
(*.f64 (/.f64 (*.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) (/.f64 1 x)) (-.f64 (*.f64 (/.f64 1/2 n) (neg.f64 n)) (*.f64 n 1/2))) (*.f64 n (neg.f64 n)))
(*.f64 (*.f64 n (neg.f64 n)) (/.f64 (/.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) x) (-.f64 (neg.f64 (*.f64 n (/.f64 1/2 n))) (*.f64 n 1/2))))
(*.f64 n (*.f64 (neg.f64 n) (/.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) (*.f64 (*.f64 (neg.f64 n) (+.f64 1/2 (/.f64 1/2 n))) x))))
(*.f64 (/.f64 (*.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) (/.f64 1 x)) (-.f64 (*.f64 (/.f64 1/2 n) n) (*.f64 n -1/2))) (*.f64 n n))
(*.f64 (*.f64 n n) (/.f64 (/.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) x) (-.f64 (*.f64 n (/.f64 1/2 n)) (*.f64 n -1/2))))
(/.f64 (/.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) x) (/.f64 (*.f64 n (+.f64 1/2 (/.f64 1/2 n))) (*.f64 n n)))
(*.f64 (/.f64 (*.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) (/.f64 1 x)) (-.f64 (*.f64 (/.f64 1/2 n) (*.f64 n -2)) n)) (*.f64 n (*.f64 n -2)))
(*.f64 (*.f64 n (*.f64 n -2)) (/.f64 (/.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) x) (-.f64 (/.f64 (*.f64 n -1) n) n)))
(*.f64 n (*.f64 (*.f64 n -2) (/.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) (*.f64 (-.f64 (/.f64 (neg.f64 n) n) n) x))))
(*.f64 (/.f64 (*.f64 (+.f64 (/.f64 1/8 (pow.f64 (*.f64 n n) 3)) (pow.f64 (/.f64 -1/2 n) 3)) (/.f64 1 x)) (-.f64 (*.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (pow.f64 n 4))) (*.f64 (-.f64 (/.f64 1/4 (*.f64 n n)) (/.f64 -1/4 (pow.f64 n 3))) (-.f64 (/.f64 1/4 (*.f64 n n)) (/.f64 -1/4 (pow.f64 n 3)))))) (+.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) (/.f64 -1/4 (pow.f64 n 3))))
(*.f64 (/.f64 (/.f64 (+.f64 (/.f64 1/8 (pow.f64 (*.f64 n n) 3)) (/.f64 -1/8 (pow.f64 n 3))) x) (-.f64 (*.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (pow.f64 n 4))) (*.f64 (-.f64 (/.f64 1/4 (*.f64 n n)) (/.f64 -1/4 (pow.f64 n 3))) (-.f64 (/.f64 1/4 (*.f64 n n)) (/.f64 -1/4 (pow.f64 n 3)))))) (+.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) (/.f64 -1/4 (pow.f64 n 3))))
(*.f64 (/.f64 (+.f64 (/.f64 1/8 (pow.f64 (*.f64 n n) 3)) (/.f64 -1/8 (pow.f64 n 3))) (*.f64 (-.f64 (/.f64 (/.f64 1/16 (pow.f64 n 4)) (pow.f64 n 4)) (*.f64 (-.f64 (/.f64 1/4 (*.f64 n n)) (/.f64 -1/4 (pow.f64 n 3))) (-.f64 (/.f64 1/4 (*.f64 n n)) (/.f64 -1/4 (pow.f64 n 3))))) x)) (+.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) (/.f64 -1/4 (pow.f64 n 3))))
(*.f64 (/.f64 (*.f64 (+.f64 (/.f64 1/8 (pow.f64 (*.f64 n n) 3)) (pow.f64 (/.f64 -1/2 n) 3)) (/.f64 1 x)) (+.f64 (pow.f64 (/.f64 1/4 (pow.f64 n 4)) 3) (pow.f64 (-.f64 (/.f64 1/4 (*.f64 n n)) (/.f64 -1/4 (pow.f64 n 3))) 3))) (+.f64 (*.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (pow.f64 n 4))) (-.f64 (*.f64 (-.f64 (/.f64 1/4 (*.f64 n n)) (/.f64 -1/4 (pow.f64 n 3))) (-.f64 (/.f64 1/4 (*.f64 n n)) (/.f64 -1/4 (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)))))))
(*.f64 (/.f64 (/.f64 (+.f64 (/.f64 1/8 (pow.f64 (*.f64 n n) 3)) (/.f64 -1/8 (pow.f64 n 3))) x) (+.f64 (/.f64 1/64 (pow.f64 (pow.f64 n 4) 3)) (pow.f64 (-.f64 (/.f64 1/4 (*.f64 n n)) (/.f64 -1/4 (pow.f64 n 3))) 3))) (fma.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (pow.f64 n 4)) (*.f64 (-.f64 (/.f64 1/4 (*.f64 n n)) (/.f64 -1/4 (pow.f64 n 3))) (-.f64 (-.f64 (/.f64 1/4 (*.f64 n n)) (/.f64 -1/4 (pow.f64 n 3))) (/.f64 1/4 (pow.f64 n 4))))))
(/.f64 (*.f64 (/.f64 (+.f64 (/.f64 1/8 (pow.f64 (*.f64 n n) 3)) (/.f64 -1/8 (pow.f64 n 3))) x) (+.f64 (/.f64 (/.f64 1/16 (pow.f64 n 4)) (pow.f64 n 4)) (*.f64 (-.f64 (/.f64 1/4 (*.f64 n n)) (/.f64 -1/4 (pow.f64 n 3))) (-.f64 (/.f64 1/4 (*.f64 n n)) (+.f64 (/.f64 -1/4 (pow.f64 n 3)) (/.f64 1/4 (pow.f64 n 4))))))) (+.f64 (/.f64 1/64 (pow.f64 (pow.f64 n 4) 3)) (pow.f64 (-.f64 (/.f64 1/4 (*.f64 n n)) (/.f64 -1/4 (pow.f64 n 3))) 3)))
(pow.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x) 1)
(/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x)) 2)
(/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x)) 3)
(/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x)
(pow.f64 (pow.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x) 3) 1/3)
(/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x)
(pow.f64 (/.f64 x (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n))) -1)
(/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x)
(neg.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) (neg.f64 x)))
(/.f64 (neg.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n))) (neg.f64 x))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x)))
(/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x))))
(/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x)
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x) 3))
(/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x)
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) 3) (pow.f64 x 3)))
(/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x)
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x)))
(/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x)
(exp.f64 (log.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x)))
(/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x)
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x)) 1))
(/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x)
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x)))
(/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x)
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/2 (*.f64 n n)))) 1)
(/.f64 1/2 (*.f64 n n))
(*.f64 1/2 (pow.f64 n -2))
(*.f64 (/.f64 1/2 (*.f64 n n)) 1)
(/.f64 1/2 (*.f64 n n))
(*.f64 -1/2 (/.f64 1 (*.f64 n (neg.f64 n))))
(/.f64 -1/2 (*.f64 n (neg.f64 n)))
(/.f64 (/.f64 -1/2 n) (neg.f64 n))
(*.f64 1 (/.f64 1/2 (*.f64 n n)))
(/.f64 1/2 (*.f64 n n))
(*.f64 (/.f64 (sqrt.f64 1/2) n) (/.f64 (sqrt.f64 1/2) n))
(pow.f64 (/.f64 (sqrt.f64 1/2) n) 2)
(*.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 (*.f64 n n))))
(*.f64 (cbrt.f64 (/.f64 1/2 (*.f64 n n))) (cbrt.f64 (/.f64 1/4 (pow.f64 n 4))))
(*.f64 (/.f64 1/2 n) (/.f64 1 n))
(/.f64 1/2 (*.f64 n n))
(*.f64 (/.f64 1 n) (/.f64 1/2 n))
(/.f64 1/2 (*.f64 n n))
(*.f64 (pow.f64 n -2) 1/2)
(*.f64 1/2 (pow.f64 n -2))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 n 4))) (/.f64 1/2 (pow.f64 (cbrt.f64 n) 2)))
(/.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (pow.f64 n 4)))
(*.f64 (/.f64 1 (*.f64 n (neg.f64 n))) -1/2)
(/.f64 -1/2 (*.f64 n (neg.f64 n)))
(/.f64 (/.f64 -1/2 n) (neg.f64 n))
(pow.f64 (/.f64 1/2 (*.f64 n n)) 1)
(/.f64 1/2 (*.f64 n n))
(pow.f64 (/.f64 (sqrt.f64 1/2) n) 2)
(pow.f64 (cbrt.f64 (/.f64 1/2 (*.f64 n n))) 3)
(/.f64 1/2 (*.f64 n n))
(pow.f64 (*.f64 (*.f64 n n) 2) -1)
(/.f64 1/2 (*.f64 n n))
(pow.f64 (/.f64 1/8 (pow.f64 (*.f64 n n) 3)) 1/3)
(cbrt.f64 (/.f64 1/8 (pow.f64 (*.f64 n n) 3)))
(sqrt.f64 (/.f64 1/4 (pow.f64 n 4)))
(log.f64 (pow.f64 (exp.f64 1/2) (pow.f64 n -2)))
(*.f64 (pow.f64 n -2) (log.f64 (exp.f64 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/2 (*.f64 n n)))))
(/.f64 1/2 (*.f64 n n))
(cbrt.f64 (/.f64 1/8 (pow.f64 (*.f64 n n) 3)))
(expm1.f64 (log1p.f64 (/.f64 1/2 (*.f64 n n))))
(/.f64 1/2 (*.f64 n n))
(exp.f64 (log.f64 (/.f64 1/2 (*.f64 n n))))
(/.f64 1/2 (*.f64 n n))
(exp.f64 (*.f64 (log.f64 (/.f64 1/2 (*.f64 n n))) 1))
(/.f64 1/2 (*.f64 n n))
(log1p.f64 (expm1.f64 (/.f64 1/2 (*.f64 n n))))
(/.f64 1/2 (*.f64 n n))

eval937.0ms (4.8%)

Compiler

Compiled 45008 to 21988 computations (51.1% saved)

prune592.0ms (3%)

Pruning

30 alts after pruning (30 fresh and 0 done)

PrunedKeptTotal
New1459261485
Fresh347
Picked101
Done404
Total1467301497
Error
0.0b
Counts
1497 → 30
Alt Table
Click to see full alt table
StatusErrorProgram
19.4b
(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1)
19.8b
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3)
19.8b
(/.f64 (pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) 1/3) n)
19.5b
(/.f64 (pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) n)
19.7b
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 3) n)
43.6b
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 2) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 (+.f64 1 x) x) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n))))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))))))
28.2b
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
19.7b
(/.f64 (/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)))) (/.f64 (+.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))))) n)
19.4b
(/.f64 (/.f64 1 (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
38.2b
(/.f64 (/.f64 1 x) n)
38.2b
(/.f64 (/.f64 1 n) x)
39.1b
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n)
40.8b
(/.f64 (-.f64 x (log.f64 x)) n)
40.7b
(/.f64 (neg.f64 (log.f64 x)) n)
19.2b
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
19.7b
(/.f64 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
19.7b
(/.f64 (exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
60.9b
(/.f64 x n)
38.3b
(/.f64 1 (*.f64 x n))
33.4b
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (cbrt.f64 (pow.f64 x (/.f64 3 n))))
19.4b
(-.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))
39.1b
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/2 (*.f64 (*.f64 x x) n)))
39.3b
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))
43.3b
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
29.3b
(+.f64 (fma.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (*.f64 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) -1/2))
61.9b
(+.f64 (/.f64 x n) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)))
43.6b
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 2) (cbrt.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) (pow.f64 (fma.f64 x x x) (/.f64 1 n)))))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n)))))
28.0b
(*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n) (/.f64 1 x))
19.4b
(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x)))
60.2b
(expm1.f64 (/.f64 (log1p.f64 x) n))
Compiler

Compiled 928 to 650 computations (30% 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)
4.8b
(log.f64 (/.f64 (+.f64 x 1) x))
Compiler

Compiled 27 to 17 computations (37% saved)

series23.0ms (0.1%)

Counts
3 → 48
Calls

12 calls:

TimeVariablePointExpression
16.0ms
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
(/.f64 (+.f64 x 1) x)
0.0ms
x
@-inf
(log.f64 (/.f64 (+.f64 x 1) x))

rewrite105.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1480×associate-*r/
1428×associate-/r*
1094×associate-/l*
1058×associate-*l/
986×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01053
120949
2281649
Stop Event
node limit
Counts
3 → 147
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
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((#(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 (sqrt.f64 (+.f64 x 1)) (/.f64 (sqrt.f64 (+.f64 x 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 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (/.f64 (cbrt.f64 (+.f64 x 1)) x))))) (#(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 (cbrt.f64 (/.f64 (+.f64 x 1) x)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 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1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x 1) (cbrt.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 x) (-.f64 -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 (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 (sqrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 x) 2)))))) (#(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 (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 *.f64 (/.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 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(#(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 expm1.f64 (log1p.f64 (/.f64 (+.f64 x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 x 1) x)))))))

simplify93.0ms (0.5%)

Algorithm
egg-herbie
Rules
1564×associate-/r*
788×associate-+l+
654×associate-+r+
636×+-commutative
514×associate-/l/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03845359
19814933
239704927
Stop Event
node limit
Counts
195 → 259
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 (-.f64 (log1p.f64 x) (log.f64 x)) 0)
(+.f64 0 (-.f64 (log1p.f64 x) (log.f64 x)))
(+.f64 (log1p.f64 x) (log.f64 (/.f64 1 x)))
(+.f64 (log1p.f64 x) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (+.f64 (log.f64 (cbrt.f64 (+.f64 x 1))) (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (+.f64 (log.f64 (cbrt.f64 (+.f64 x 1))) (neg.f64 (log.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (-.f64 (log.f64 (cbrt.f64 (+.f64 x 1))) (log.f64 x)))
(+.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x))) (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) 2)))
(+.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 (/.f64 1 x)) (log1p.f64 x))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x))) (log.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (+.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (+.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (log.f64 x))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (-.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 x)))
(+.f64 (neg.f64 (log.f64 x)) (log1p.f64 x))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) 2))) (log.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x)))) (log.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x))))
(-.f64 0 (log.f64 (/.f64 x (+.f64 x 1))))
(-.f64 (log1p.f64 x) (log.f64 x))
(-.f64 (log.f64 (fma.f64 x x -1)) (-.f64 (log.f64 (+.f64 x -1)) (log.f64 (/.f64 1 x))))
(-.f64 (log.f64 (fma.f64 x x -1)) (-.f64 (log.f64 (+.f64 x -1)) (neg.f64 (log.f64 x))))
(-.f64 (log.f64 (fma.f64 x x -1)) (+.f64 (log.f64 (+.f64 x -1)) (log.f64 x)))
(-.f64 (log.f64 (+.f64 1 (pow.f64 x 3))) (-.f64 (log.f64 (fma.f64 x x (-.f64 1 x))) (log.f64 (/.f64 1 x))))
(-.f64 (log.f64 (+.f64 1 (pow.f64 x 3))) (-.f64 (log.f64 (fma.f64 x x (-.f64 1 x))) (neg.f64 (log.f64 x))))
(-.f64 (log.f64 (+.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 (fma.f64 x x (-.f64 1 x))) (log.f64 x)))
(-.f64 (log.f64 (-.f64 -1 x)) (log.f64 (neg.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) 1)
(-.f64 (+.f64 0 (log.f64 (-.f64 -1 x))) (log.f64 (neg.f64 x)))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x))))) 1)
(-.f64 (-.f64 (log1p.f64 x) 0) (log.f64 x))
(-.f64 (-.f64 (log1p.f64 x) (log.f64 (pow.f64 (cbrt.f64 x) 2))) (log.f64 (cbrt.f64 x)))
(-.f64 (-.f64 (log1p.f64 x) (log.f64 (sqrt.f64 x))) (log.f64 (sqrt.f64 x)))
(*.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)))
(*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1)
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (sqrt.f64 (-.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 (-.f64 (*.f64 (log1p.f64 x) (log1p.f64 x)) (*.f64 (log.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 (*.f64 (log1p.f64 x) (log1p.f64 x)) (+.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (log1p.f64 x) (log.f64 x)))))
(/.f64 (*.f64 1 (-.f64 (*.f64 (log1p.f64 x) (log1p.f64 x)) (*.f64 (log.f64 x) (log.f64 x)))) (+.f64 (log1p.f64 x) (log.f64 x)))
(/.f64 (*.f64 1 (-.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 (*.f64 (log1p.f64 x) (log1p.f64 x)) (*.f64 (log.f64 x) (log.f64 x))) 1) (+.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 (log1p.f64 x) (log1p.f64 x)) (+.f64 (*.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 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) 1/3)
(neg.f64 (log.f64 (/.f64 x (+.f64 x 1))))
(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))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x))))
(log1p.f64 (-.f64 (/.f64 (+.f64 x 1) x) 1))
(-.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 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 (sqrt.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 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (/.f64 (cbrt.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 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (cbrt.f64 (*.f64 n 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 1 n) (-.f64 (log1p.f64 x) (log.f64 x)))
(*.f64 (log.f64 (/.f64 x (+.f64 x 1))) (/.f64 -1 n))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n) (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 1))
(*.f64 (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2))
(*.f64 (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) 1))
(*.f64 (/.f64 1 (sqrt.f64 n)) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 n n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n)))
(*.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)) (/.f64 1 (sqrt.f64 n)))
(*.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n)) (/.f64 1 (cbrt.f64 (*.f64 n n))))
(*.f64 (/.f64 -1 n) (log.f64 (/.f64 x (+.f64 x 1))))
(*.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 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (cbrt.f64 (*.f64 n n))) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (cbrt.f64 n)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (cbrt.f64 n)) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (cbrt.f64 (*.f64 n 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 (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 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (sqrt.f64 n)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (sqrt.f64 n)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (cbrt.f64 (*.f64 n n))) (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) n) (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))
(*.f64 (/.f64 1 (/.f64 n (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2))) (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))
(pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3) 1/3)
(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))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))
(exp.f64 (log.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))
(log1p.f64 (expm1.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 (sqrt.f64 (+.f64 x 1)) (/.f64 (sqrt.f64 (+.f64 x 1)) x))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x)) (sqrt.f64 (/.f64 (+.f64 x 1) x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (/.f64 (cbrt.f64 (+.f64 x 1)) x))
(*.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) 2))
(*.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) 2) (cbrt.f64 (/.f64 (+.f64 x 1) x)))
(*.f64 (/.f64 1 x) (+.f64 x 1))
(*.f64 (-.f64 -1 x) (/.f64 -1 x))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) x) (sqrt.f64 (+.f64 x 1)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) x) (/.f64 (sqrt.f64 (+.f64 x 1)) 1))
(*.f64 (/.f64 (cbrt.f64 (+.f64 x 1)) x) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))
(*.f64 (/.f64 (cbrt.f64 (+.f64 x 1)) x) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 x 1) (sqrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 x 1) (cbrt.f64 x)))
(*.f64 (/.f64 (+.f64 x 1) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x)))
(*.f64 (/.f64 (+.f64 x 1) (cbrt.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 -1 x) (-.f64 -1 x))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) 1) (/.f64 (sqrt.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 (sqrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x 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 (/.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (sqrt.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 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) x) (cbrt.f64 (+.f64 x 1)))
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))) (cbrt.f64 (+.f64 x 1)))
(*.f64 (/.f64 (/.f64 (fma.f64 x x -1) x) (fma.f64 x x -1)) (+.f64 x 1))
(*.f64 (/.f64 (/.f64 (fma.f64 x x -1) x) (-.f64 (pow.f64 x 3) 1)) (+.f64 1 (+.f64 x (*.f64 x x))))
(*.f64 (/.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) x) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (-.f64 1 x) (-.f64 1 x)))) (+.f64 (fma.f64 x x -1) x))
(*.f64 (/.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) x) (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (-.f64 1 x) 3))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 (-.f64 1 x) (-.f64 1 x)) (*.f64 (*.f64 x x) (-.f64 1 x)))))
(pow.f64 (/.f64 (+.f64 x 1) x) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x)) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 x 1) x) 3) 1/3)
(pow.f64 (E.f64) (-.f64 (log1p.f64 x) (log.f64 x)))
(pow.f64 (/.f64 x (+.f64 x 1)) -1)
(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))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) (sqrt.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))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x 1) x)))
(exp.f64 (-.f64 (log1p.f64 x) (log.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x 1) x)))
Outputs
(*.f64 -1 (log.f64 x))
(neg.f64 (log.f64 x))
(+.f64 x (*.f64 -1 (log.f64 x)))
(+.f64 x (neg.f64 (log.f64 x)))
(-.f64 x (log.f64 x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 x (*.f64 -1 (log.f64 x))))
(fma.f64 -1/2 (*.f64 x x) (+.f64 x (neg.f64 (log.f64 x))))
(-.f64 (fma.f64 -1/2 (*.f64 x x) x) (log.f64 x))
(fma.f64 -1/2 (*.f64 x x) (-.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)))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (-.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 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 1/2 (*.f64 x x))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 -1/2 (*.f64 x x))))
(-.f64 (+.f64 (*.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 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (/.f64 1/4 (pow.f64 x 4))) (/.f64 1/2 (*.f64 x x)))
(+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/4 (pow.f64 x 4)))))
(+.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (-.f64 (/.f64 -1/2 (*.f64 x x)) (/.f64 1/4 (pow.f64 x 4)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 -1/2 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 1/2 (*.f64 x x))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 -1/2 (*.f64 x x))))
(-.f64 (+.f64 (*.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 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (/.f64 1/4 (pow.f64 x 4))) (/.f64 1/2 (*.f64 x x)))
(+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/4 (pow.f64 x 4)))))
(+.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (-.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)
(neg.f64 (/.f64 (log.f64 x) n))
(+.f64 (/.f64 x n) (*.f64 -1 (/.f64 (log.f64 x) n)))
(+.f64 (/.f64 (neg.f64 (log.f64 x)) n) (/.f64 x n))
(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))
(+.f64 (/.f64 x n) (+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n))))
(+.f64 (/.f64 x n) (fma.f64 -1 (/.f64 (log.f64 x) n) (/.f64 (*.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 (/.f64 x n) (-.f64 (/.f64 (log.f64 x) n) (*.f64 -1/2 (*.f64 (/.f64 x n) x))))
(+.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)))
(+.f64 (*.f64 -1/2 (*.f64 (/.f64 x n) x)) (-.f64 (fma.f64 1/3 (/.f64 (pow.f64 x 3) n) (/.f64 x n)) (/.f64 (log.f64 x) n)))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 x n))
(-.f64 (/.f64 1 (*.f64 n x)) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/2 (*.f64 n (*.f64 x x))))
(+.f64 (/.f64 1 (*.f64 x n)) (/.f64 -1/2 (*.f64 n (*.f64 x x))))
(+.f64 (/.f64 1 (*.f64 x n)) (/.f64 -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 n (*.f64 x x)))))
(+.f64 (/.f64 1 (*.f64 x n)) (+.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) n)) (/.f64 -1/2 (*.f64 n (*.f64 x x)))))
(+.f64 (/.f64 1 (*.f64 x n)) (+.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) n)) (/.f64 -1/2 (*.f64 x (*.f64 x n)))))
(-.f64 (+.f64 (*.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 n (*.f64 x x))) (/.f64 1/4 (*.f64 n (pow.f64 x 4))))))
(+.f64 (/.f64 1 (*.f64 x n)) (-.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) n)) (+.f64 (/.f64 1/2 (*.f64 n (*.f64 x x))) (/.f64 (/.f64 1/4 (pow.f64 x 4)) n))))
(+.f64 (/.f64 1 (*.f64 x n)) (-.f64 (-.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) n)) (/.f64 1/2 (*.f64 x (*.f64 x n)))) (/.f64 (/.f64 1/4 n) (pow.f64 x 4))))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 x n))
(-.f64 (/.f64 1 (*.f64 n x)) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/2 (*.f64 n (*.f64 x x))))
(+.f64 (/.f64 1 (*.f64 x n)) (/.f64 -1/2 (*.f64 n (*.f64 x x))))
(+.f64 (/.f64 1 (*.f64 x n)) (/.f64 -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 n (*.f64 x x)))))
(+.f64 (/.f64 1 (*.f64 x n)) (+.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) n)) (/.f64 -1/2 (*.f64 n (*.f64 x x)))))
(+.f64 (/.f64 1 (*.f64 x n)) (+.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) n)) (/.f64 -1/2 (*.f64 x (*.f64 x n)))))
(-.f64 (+.f64 (*.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 n (*.f64 x x))) (/.f64 1/4 (*.f64 n (pow.f64 x 4))))))
(+.f64 (/.f64 1 (*.f64 x n)) (-.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) n)) (+.f64 (/.f64 1/2 (*.f64 n (*.f64 x x))) (/.f64 (/.f64 1/4 (pow.f64 x 4)) n))))
(+.f64 (/.f64 1 (*.f64 x n)) (-.f64 (-.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) n)) (/.f64 1/2 (*.f64 x (*.f64 x n)))) (/.f64 (/.f64 1/4 n) (pow.f64 x 4))))
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
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(*.f64 (/.f64 (/.f64 (+.f64 (pow.f64 x 3) 1) x) (-.f64 (pow.f64 x 4) (*.f64 (-.f64 1 x) (-.f64 1 x)))) (+.f64 x (fma.f64 x x -1)))
(*.f64 (/.f64 (/.f64 (+.f64 (pow.f64 x 3) 1) x) (-.f64 (pow.f64 x 4) (*.f64 (-.f64 1 x) (-.f64 1 x)))) (+.f64 (fma.f64 x x x) -1))
(*.f64 (/.f64 (/.f64 (+.f64 (pow.f64 x 3) 1) x) (+.f64 (pow.f64 x 4) (*.f64 (-.f64 1 x) (+.f64 -1 x)))) (+.f64 -1 (fma.f64 x x x)))
(*.f64 (/.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) x) (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (-.f64 1 x) 3))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 (-.f64 1 x) (-.f64 1 x)) (*.f64 (*.f64 x x) (-.f64 1 x)))))
(*.f64 (/.f64 (+.f64 (pow.f64 x 3) 1) (*.f64 (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (-.f64 1 x) 3)) x)) (+.f64 (pow.f64 x 4) (*.f64 (-.f64 1 x) (-.f64 (-.f64 1 x) (*.f64 x x)))))
(*.f64 (/.f64 (+.f64 (pow.f64 x 3) 1) (*.f64 x (+.f64 (pow.f64 x 6) (pow.f64 (-.f64 1 x) 3)))) (fma.f64 (-.f64 1 x) (-.f64 1 (fma.f64 x x x)) (pow.f64 x 4)))
(pow.f64 (/.f64 (+.f64 x 1) x) 1)
(+.f64 1 (/.f64 1 x))
(/.f64 (+.f64 x 1) x)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x)) 2)
(+.f64 1 (/.f64 1 x))
(/.f64 (+.f64 x 1) x)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) 3)
(+.f64 1 (/.f64 1 x))
(/.f64 (+.f64 x 1) x)
(pow.f64 (pow.f64 (/.f64 (+.f64 x 1) x) 3) 1/3)
(+.f64 1 (/.f64 1 x))
(/.f64 (+.f64 x 1) x)
(pow.f64 (E.f64) (-.f64 (log1p.f64 x) (log.f64 x)))
(/.f64 (exp.f64 (log1p.f64 x)) x)
(pow.f64 (/.f64 x (+.f64 x 1)) -1)
(+.f64 1 (/.f64 1 x))
(/.f64 (+.f64 x 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))))
(pow.f64 (E.f64) (-.f64 (log1p.f64 x) (log.f64 x)))
(/.f64 (exp.f64 (log1p.f64 x)) x)
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))
(pow.f64 (E.f64) (-.f64 (log1p.f64 x) (log.f64 x)))
(/.f64 (exp.f64 (log1p.f64 x)) x)
(neg.f64 (/.f64 (+.f64 x 1) (neg.f64 x)))
(/.f64 (neg.f64 (+.f64 x 1)) (neg.f64 x))
(/.f64 (-.f64 -1 x) (neg.f64 x))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) 2))
(fabs.f64 (+.f64 1 (/.f64 1 x)))
(fabs.f64 (/.f64 (+.f64 x 1) x))
(log.f64 (exp.f64 (/.f64 (+.f64 x 1) x)))
(+.f64 1 (/.f64 1 x))
(/.f64 (+.f64 x 1) x)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x 1) x))))
(+.f64 1 (/.f64 1 x))
(/.f64 (+.f64 x 1) x)
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) 3))
(+.f64 1 (/.f64 1 x))
(/.f64 (+.f64 x 1) x)
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x 1) x)))
(+.f64 1 (/.f64 1 x))
(/.f64 (+.f64 x 1) x)
(exp.f64 (-.f64 (log1p.f64 x) (log.f64 x)))
(pow.f64 (E.f64) (-.f64 (log1p.f64 x) (log.f64 x)))
(/.f64 (exp.f64 (log1p.f64 x)) x)
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x 1) x)))
(+.f64 1 (/.f64 1 x))
(/.f64 (+.f64 x 1) x)

localize3.0ms (0%)

Compiler

Compiled 7 to 3 computations (57.1% saved)

localize7.0ms (0%)

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)

series1.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite54.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
1458×add-sqr-sqrt
1446×*-un-lft-identity
1342×add-cube-cbrt
1324×add-cbrt-cube
1308×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0815
116511
2223011
Stop Event
node limit
Counts
1 → 36
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) (/.f64 1 n))))) (#(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 (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 (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 -1 (/.f64 (log.f64 x) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 n) (log.f64 x))))) (#(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 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (log.f64 x) (cbrt.f64 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 (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 (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 (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 (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 -1 (sqrt.f64 n)) (/.f64 (log.f64 x) (sqrt.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 pow.f64 (/.f64 (log.f64 x) n) 1)))) (#(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 (cbrt.f64 (/.f64 (log.f64 x) n)) 3)))) (#(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 (/.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 (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log.f64 x) n) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log.f64 x) n)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log.f64 x) n)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 x) n)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log.f64 x) n)))))))

simplify59.0ms (0.3%)

Algorithm
egg-herbie
Rules
1516×associate-*r*
1344×distribute-lft-in
1288×associate-*l*
860×associate-+r+
748×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0981314
12371134
2932990
35095990
Stop Event
node limit
Counts
60 → 60
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) (/.f64 1 n))
(*.f64 (log.f64 x) (/.f64 1 (neg.f64 n)))
(*.f64 (/.f64 (log.f64 x) n) 1)
(*.f64 1 (/.f64 (log.f64 x) 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 (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 -1 (/.f64 (log.f64 x) n))
(*.f64 (/.f64 1 n) (log.f64 x))
(*.f64 (/.f64 1 (sqrt.f64 n)) (/.f64 (log.f64 x) (sqrt.f64 n)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (log.f64 x) (cbrt.f64 n)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 x)) 1) (/.f64 (sqrt.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 (pow.f64 (cbrt.f64 (log.f64 x)) 2) 1) (/.f64 (cbrt.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 (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (/.f64 (log.f64 x) n)))
(*.f64 (/.f64 -1 (sqrt.f64 n)) (/.f64 (log.f64 x) (sqrt.f64 n)))
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (log.f64 x) (cbrt.f64 n)))
(pow.f64 (/.f64 (log.f64 x) n) 1)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 x) n)) 2)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 x) n) 3) 1/3)
(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 (/.f64 1 n)))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 x) n) 3))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 x) n)))
(exp.f64 (log.f64 (/.f64 (log.f64 x) n)))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 x) n)) 1))
(log1p.f64 (expm1.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))
(neg.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n))
(/.f64 (neg.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) n)
(/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (neg.f64 n))
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))
(neg.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n))
(/.f64 (neg.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) n)
(/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (neg.f64 n))
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))
(neg.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n))
(/.f64 (neg.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) n)
(/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (neg.f64 n))
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))
(neg.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n))
(/.f64 (neg.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) n)
(/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 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) (/.f64 1 n))
(+.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 (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)) (/.f64 1 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)) (/.f64 1 n)))
(+.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 1 n) (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 (/.f64 1 (sqrt.f64 n)) (/.f64 (log.f64 x) (sqrt.f64 n)))
(/.f64 (/.f64 (log.f64 x) (sqrt.f64 n)) (sqrt.f64 n))
(/.f64 (log.f64 x) (*.f64 (sqrt.f64 n) (sqrt.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 (/.f64 (log.f64 x) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 n))
(/.f64 (log.f64 x) (*.f64 (cbrt.f64 n) (pow.f64 (cbrt.f64 n) 2)))
(*.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 (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 (/.f64 (log.f64 x) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 n))
(/.f64 (log.f64 x) (*.f64 (cbrt.f64 n) (pow.f64 (cbrt.f64 n) 2)))
(*.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 (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)))
(/.f64 (/.f64 (log.f64 x) (sqrt.f64 n)) (sqrt.f64 n))
(/.f64 (log.f64 x) (*.f64 (sqrt.f64 n) (sqrt.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 -1 (sqrt.f64 n)) (/.f64 (log.f64 x) (sqrt.f64 n)))
(*.f64 (/.f64 (log.f64 x) (sqrt.f64 n)) (/.f64 -1 (sqrt.f64 n)))
(/.f64 (neg.f64 (/.f64 (log.f64 x) (sqrt.f64 n))) (sqrt.f64 n))
(neg.f64 (/.f64 (log.f64 x) (*.f64 (sqrt.f64 n) (sqrt.f64 n))))
(/.f64 (neg.f64 (log.f64 x)) (*.f64 (sqrt.f64 n) (sqrt.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)) (/.f64 -1 (pow.f64 (cbrt.f64 n) 2)))
(/.f64 (/.f64 (neg.f64 (log.f64 x)) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 n))
(/.f64 (neg.f64 (log.f64 x)) (*.f64 (pow.f64 (cbrt.f64 n) 2) (cbrt.f64 n)))
(/.f64 (neg.f64 (log.f64 x)) (*.f64 (cbrt.f64 n) (pow.f64 (cbrt.f64 n) 2)))
(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 (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 (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 (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 (/.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 (/.f64 1 n)))
(+.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)
(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)
(exp.f64 (*.f64 (log.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)
(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)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (log1p.f64 x) n)
0.3b
(/.f64 (log.f64 x) n)
4.8b
(-.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))
Compiler

Compiled 25 to 7 computations (72% saved)

series1.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite88.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1442×associate-/l*
774×distribute-rgt-in
744×distribute-lft-in
448×associate-/r/
404×distribute-lft-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01021
121921
2326521
Stop Event
node limit
Counts
1 → 136
Calls
Call 1
Inputs
(-.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))
Outputs
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simplify138.0ms (0.7%)

Algorithm
egg-herbie
Rules
1450×associate-+r+
1116×+-commutative
758×fma-def
750×associate-+r-
606×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
045010364
1139810002
2632210002
Stop Event
node limit
Counts
160 → 268
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))))
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(/.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)))))
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(/.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 (-.f64 (*.f64 -1 (log.f64 (+.f64 1 x))) (*.f64 -1 (log.f64 x))) n))
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(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (log.f64 (+.f64 1 x))) (*.f64 -1 (log.f64 x))) n))
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(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (pow.f64 (/.f64 (log.f64 x) n) 3))) (cbrt.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (pow.f64 (/.f64 (log.f64 x) n) 3)))) (/.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (*.f64 (/.f64 (log.f64 x) n) (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n)))) (cbrt.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (pow.f64 (/.f64 (log.f64 x) n) 3)))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) (cbrt.f64 (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))) (/.f64 (*.f64 n n) (cbrt.f64 (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (pow.f64 (/.f64 (log.f64 x) n) 2))) (cbrt.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (pow.f64 (/.f64 (log.f64 x) n) 2)))) (/.f64 (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n)) (cbrt.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (pow.f64 (/.f64 (log.f64 x) n) 2)))))
(/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)) (sqrt.f64 n))
(/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 n))
(/.f64 (/.f64 (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) n) n)
(/.f64 (+.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log1p.f64 x))) (/.f64 n (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log.f64 x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (*.f64 (/.f64 (log.f64 x) (neg.f64 n)) (/.f64 (log.f64 x) (neg.f64 n)))) (*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (neg.f64 (log.f64 x)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (pow.f64 (/.f64 (log1p.f64 x) n) 2)) (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) (pow.f64 (/.f64 (log.f64 x) n) 2))) (*.f64 (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n)) (+.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) (pow.f64 (/.f64 (log1p.f64 x) n) 2))))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (pow.f64 (/.f64 (log1p.f64 x) n) 3)) (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 3) (pow.f64 (/.f64 (log.f64 x) n) 3))) (*.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (*.f64 (/.f64 (log.f64 x) n) (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n)))) (+.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (pow.f64 (/.f64 (log.f64 x) n) 3))))
(/.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 (*.f64 (*.f64 (log1p.f64 x) n) (*.f64 (log1p.f64 x) n)) (*.f64 (*.f64 n (log.f64 x)) (*.f64 n (log.f64 x)))) (*.f64 (*.f64 n n) (*.f64 n (+.f64 (log1p.f64 x) (log.f64 x)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (pow.f64 (/.f64 (log.f64 x) (neg.f64 n)) 3)) (+.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (*.f64 (/.f64 (log.f64 x) (neg.f64 n)) (-.f64 (/.f64 (log.f64 x) (neg.f64 n)) (/.f64 (log1p.f64 x) n)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2) 3) (pow.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) 3)) (*.f64 (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n)) (+.f64 (*.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (pow.f64 (/.f64 (log1p.f64 x) n) 2)) (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) (+.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) (pow.f64 (/.f64 (log1p.f64 x) n) 2))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 3) 3) (pow.f64 (pow.f64 (/.f64 (log.f64 x) n) 3) 3)) (*.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (*.f64 (/.f64 (log.f64 x) n) (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n)))) (+.f64 (*.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (pow.f64 (/.f64 (log1p.f64 x) n) 3)) (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 3) (+.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (pow.f64 (/.f64 (log.f64 x) n) 3))))))
(/.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 (*.f64 (log1p.f64 x) n) 3) (pow.f64 (*.f64 n (log.f64 x)) 3)) (*.f64 (*.f64 n n) (+.f64 (*.f64 (*.f64 (log1p.f64 x) n) (*.f64 (log1p.f64 x) n)) (*.f64 (*.f64 n (log.f64 x)) (*.f64 n (+.f64 (log1p.f64 x) (log.f64 x)))))))
(/.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (neg.f64 n))
(/.f64 (-.f64 (*.f64 (log1p.f64 x) (/.f64 n (log.f64 x))) n) (*.f64 n (/.f64 n (log.f64 x))))
(/.f64 (-.f64 (*.f64 (log1p.f64 x) (neg.f64 n)) (*.f64 n (neg.f64 (log.f64 x)))) (*.f64 n (neg.f64 n)))
(/.f64 (-.f64 n (*.f64 (/.f64 n (log1p.f64 x)) (log.f64 x))) (*.f64 (/.f64 n (log1p.f64 x)) n))
(/.f64 (-.f64 (/.f64 n (log.f64 x)) (*.f64 (/.f64 n (log1p.f64 x)) 1)) (*.f64 (/.f64 n (log1p.f64 x)) (/.f64 n (log.f64 x))))
(/.f64 (-.f64 (neg.f64 n) (*.f64 (/.f64 n (log1p.f64 x)) (neg.f64 (log.f64 x)))) (*.f64 (/.f64 n (log1p.f64 x)) (neg.f64 n)))
(/.f64 (-.f64 (*.f64 (neg.f64 (log1p.f64 x)) n) (*.f64 n (neg.f64 (log.f64 x)))) (*.f64 n (neg.f64 n)))
(/.f64 (-.f64 (*.f64 (neg.f64 (log1p.f64 x)) (/.f64 n (log.f64 x))) (neg.f64 n)) (*.f64 (neg.f64 n) (/.f64 n (log.f64 x))))
(/.f64 (-.f64 (*.f64 (neg.f64 (log1p.f64 x)) (neg.f64 n)) (*.f64 (neg.f64 n) (neg.f64 (log.f64 x)))) (*.f64 (neg.f64 n) (neg.f64 n)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (pow.f64 (/.f64 (log.f64 x) n) 2))) (*.f64 (/.f64 1 n) (neg.f64 (+.f64 (log1p.f64 x) (log.f64 x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (pow.f64 (/.f64 (log.f64 x) n) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (*.f64 (/.f64 (log.f64 x) n) (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))))))
(/.f64 (neg.f64 (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) (*.f64 n (neg.f64 n)))
(pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 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))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))
(exp.f64 (log.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))
(fma.f64 (log1p.f64 x) (/.f64 1 n) (/.f64 (log.f64 x) (neg.f64 n)))
(fma.f64 1 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) (neg.f64 n)))
(fma.f64 (sqrt.f64 (/.f64 (log1p.f64 x) n)) (sqrt.f64 (/.f64 (log1p.f64 x) n)) (/.f64 (log.f64 x) (neg.f64 n)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) n)) 2) (cbrt.f64 (/.f64 (log1p.f64 x) n)) (/.f64 (log.f64 x) (neg.f64 n)))
Outputs
(*.f64 -1 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(+.f64 (/.f64 x n) (*.f64 -1 (/.f64 (log.f64 x) n)))
(+.f64 (/.f64 (neg.f64 (log.f64 x)) n) (/.f64 x n))
(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))
(+.f64 (/.f64 x n) (+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n))))
(+.f64 (/.f64 x n) (fma.f64 -1 (/.f64 (log.f64 x) n) (*.f64 -1/2 (/.f64 (*.f64 x x) n))))
(+.f64 (/.f64 x n) (-.f64 (/.f64 -1/2 (/.f64 n (*.f64 x 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 n (*.f64 x x))) (/.f64 (log.f64 x) n)) (fma.f64 1/3 (/.f64 (pow.f64 x 3) n) (/.f64 x n)))
(-.f64 (+.f64 (/.f64 -1/2 (/.f64 n (*.f64 x x))) (fma.f64 1/3 (/.f64 (pow.f64 x 3) n) (/.f64 x n))) (/.f64 (log.f64 x) n))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 x n))
(-.f64 (/.f64 1 (*.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 1/2 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 (*.f64 x n)) (/.f64 (/.f64 1/2 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 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 1 (*.f64 x n)) (-.f64 (/.f64 1/3 (*.f64 n (pow.f64 x 3))) (+.f64 (/.f64 (/.f64 1/2 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 (*.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 1/2 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 (*.f64 x n)) (/.f64 (/.f64 1/2 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 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 1 (*.f64 x n)) (-.f64 (/.f64 1/3 (*.f64 n (pow.f64 x 3))) (+.f64 (/.f64 (/.f64 1/2 n) (*.f64 x x)) (/.f64 1/4 (*.f64 n (pow.f64 x 4))))))
(/.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 (-.f64 (*.f64 -1 (log.f64 (+.f64 1 x))) (*.f64 -1 (log.f64 x))) n))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (log.f64 (+.f64 1 x))) (*.f64 -1 (log.f64 x))) n))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (log.f64 (+.f64 1 x))) (*.f64 -1 (log.f64 x))) n))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (log.f64 (+.f64 1 x))) (*.f64 -1 (log.f64 x))) n))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) (neg.f64 n)))
(+.f64 (/.f64 (log1p.f64 x) n) (+.f64 (/.f64 (log.f64 x) (neg.f64 n)) (fma.f64 (neg.f64 (/.f64 1 n)) (log.f64 x) (/.f64 (log.f64 x) n))))
(+.f64 (/.f64 (log1p.f64 x) n) (+.f64 (/.f64 (log.f64 x) (neg.f64 n)) (fma.f64 (/.f64 -1 n) (log.f64 x) (/.f64 (log.f64 x) n))))
(+.f64 (/.f64 (log.f64 x) (neg.f64 n)) (+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (/.f64 (log.f64 x) n)))
(+.f64 (/.f64 (log.f64 x) n) (+.f64 (/.f64 (log.f64 x) (neg.f64 n)) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))
(+.f64 (/.f64 (log1p.f64 x) n) (+.f64 (/.f64 (log.f64 x) (neg.f64 n)) (fma.f64 (/.f64 (log.f64 x) (neg.f64 n)) 1 (/.f64 (log.f64 x) n))))
(+.f64 (/.f64 (log1p.f64 x) n) (+.f64 (/.f64 (log.f64 x) (neg.f64 n)) (+.f64 (/.f64 (log.f64 x) n) (/.f64 (log.f64 x) (neg.f64 n)))))
(+.f64 (/.f64 (log.f64 x) n) (+.f64 (/.f64 (log.f64 x) (neg.f64 n)) (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) (neg.f64 n)))))
(+.f64 (/.f64 (log1p.f64 x) n) (+.f64 (/.f64 (log.f64 x) (neg.f64 n)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (log.f64 x) n))) (sqrt.f64 (/.f64 (log.f64 x) n)) (/.f64 (log.f64 x) n))))
(+.f64 (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) (neg.f64 n))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (log.f64 x) n))) (sqrt.f64 (/.f64 (log.f64 x) n)) (/.f64 (log.f64 x) n)))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (log.f64 x) n))) (sqrt.f64 (/.f64 (log.f64 x) n)) (/.f64 (log.f64 x) n)) (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) (neg.f64 n))))
(+.f64 (/.f64 (log1p.f64 x) n) (+.f64 (/.f64 (log.f64 x) (neg.f64 n)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (log.f64 x) n))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) 2) (/.f64 (log.f64 x) n))))
(+.f64 (/.f64 (log.f64 x) (neg.f64 n)) (+.f64 (/.f64 (log1p.f64 x) n) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (log.f64 x) n))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) 2) (/.f64 (log.f64 x) n))))
(+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (fma.f64 (neg.f64 (/.f64 1 n)) (log.f64 x) (/.f64 (log.f64 x) n)))
(+.f64 (fma.f64 (/.f64 -1 n) (log.f64 x) (/.f64 (log.f64 x) n)) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
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(+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) (neg.f64 n)))
(fma.f64 (sqrt.f64 (/.f64 (log1p.f64 x) n)) (sqrt.f64 (/.f64 (log1p.f64 x) n)) (/.f64 (log.f64 x) (neg.f64 n)))
(+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) (neg.f64 n)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) n)) 2) (cbrt.f64 (/.f64 (log1p.f64 x) n)) (/.f64 (log.f64 x) (neg.f64 n)))
(+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) (neg.f64 n)))

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 3) n)
0.3b
(cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))
0.4b
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 3)
5.0b
(-.f64 (log1p.f64 x) (log.f64 x))
Compiler

Compiled 38 to 12 computations (68.4% saved)

series9.0ms (0%)

Counts
3 → 32
Calls

12 calls:

TimeVariablePointExpression
4.0ms
x
@0
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 3)
1.0ms
x
@inf
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 3)
1.0ms
x
@-inf
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 3)
1.0ms
x
@0
(cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))
0.0ms
n
@0
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 3) n)

rewrite102.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1170×associate-*r/
1118×associate-/r*
1028×*-commutative
990×associate-/l*
854×associate-*l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01255
125555
2313655
Stop Event
node limit
Counts
3 → 225
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 3)
(cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 3) n)
Outputs
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(log1p.f64 x) (log.f64 x)) n)) 2)))) (#(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 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3) 1/3)))) (#(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 expm1.f64 (log1p.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 log1p.f64 (expm1.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))))))

simplify378.0ms (1.9%)

Algorithm
egg-herbie
Rules
960×associate-*r*
802×associate-/l*
788×associate-*l*
578×*-commutative
506×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
066415653
1184515377
Stop Event
node limit
Counts
257 → 347
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 (pow.f64 1 1/3) (log.f64 x)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (log.f64 x))) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3)))) x))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (log.f64 x))) (+.f64 (*.f64 (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) 1/2))) (*.f64 (pow.f64 (*.f64 1 (log.f64 x)) 1/3) (*.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/3) (/.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) 1/2) (cbrt.f64 -1)))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))) (cbrt.f64 -1))))) (pow.f64 x 2)) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3)))) x)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (log.f64 x))) (+.f64 (*.f64 (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) 1/2))) (*.f64 (pow.f64 (*.f64 1 (log.f64 x)) 1/3) (*.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/3) (/.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) 1/2) (cbrt.f64 -1)))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))) (cbrt.f64 -1))))) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 2)) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/3) (/.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) 1/2) (cbrt.f64 -1)))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 1/3 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 5)) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) 1/2)))) (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))))) (+.f64 (*.f64 (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/3) (/.f64 (-.f64 1/3 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 5)) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) 1/2)))) (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))) (cbrt.f64 -1)))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 8)) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 8)) 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) 1/2))))) (cbrt.f64 -1)) (pow.f64 (*.f64 1 (log.f64 x)) 1/3)) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 5)) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) 1/2))))))) (pow.f64 x 3)) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3)))) x))))
(*.f64 (pow.f64 (*.f64 1 (log.f64 x)) 1/3) (cbrt.f64 -1))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 2)) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) x))) (*.f64 (pow.f64 (*.f64 1 (log.f64 x)) 1/3) (cbrt.f64 -1)))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) 1/3) (/.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) 1/2) (pow.f64 x 2)) (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 2)) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) x))) (*.f64 (pow.f64 (*.f64 1 (log.f64 x)) 1/3) (cbrt.f64 -1))))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) 1/3) (/.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) 1/2) (pow.f64 x 2)) (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) 1/3) (/.f64 (*.f64 (-.f64 1/3 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 5)) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) 1/2)))) (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))) (pow.f64 x 3)) (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 2)) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) x))) (*.f64 (pow.f64 (*.f64 1 (log.f64 x)) 1/3) (cbrt.f64 -1)))))
(*.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)
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(*.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (/.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2)) (pow.f64 (cbrt.f64 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 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2)) (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n))
(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x)))
(*.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 -1 n))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2)) n) (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2)) n) (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 1))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n) (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 1))
(*.f64 (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2)))
(*.f64 (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n) (/.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2)) 1))
(*.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)) (/.f64 1 (sqrt.f64 n)))
(*.f64 (/.f64 1 (sqrt.f64 n)) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.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)) (/.f64 1 (pow.f64 (cbrt.f64 n) 2)))
(*.f64 (/.f64 -1 n) (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 1) (/.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2)) n))
(*.f64 (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (sqrt.f64 n)) (/.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2)) (sqrt.f64 n)))
(*.f64 (/.f64 (cbrt.f64 (pow.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 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2)) (cbrt.f64 n)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2)) (cbrt.f64 n)) (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (pow.f64 (cbrt.f64 n) 2)))
(*.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 (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 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (cbrt.f64 n)) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (pow.f64 (cbrt.f64 n) 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2)) 1) (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n))
(*.f64 (/.f64 (cbrt.f64 (pow.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 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) n) (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (-.f64 (log1p.f64 x) (log.f64 x)))
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) n) (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (+.f64 (pow.f64 (log1p.f64 x) 2) (-.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log1p.f64 x) (log.f64 x)))))
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) n) (-.f64 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (*.f64 (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))))) (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))))
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) n) (+.f64 (pow.f64 (pow.f64 (log1p.f64 x) 2) 3) (pow.f64 (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))) 3))) (-.f64 (+.f64 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (*.f64 (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))))) (*.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))))))
(pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3) 1/3)
(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))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))
(exp.f64 (log.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))
Outputs
(*.f64 -1 (*.f64 (pow.f64 1 1/3) (log.f64 x)))
(neg.f64 (log.f64 x))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (log.f64 x))) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3)))) x))
(fma.f64 -1 (log.f64 x) (*.f64 x (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 x) 4) 1/18) (pow.f64 (pow.f64 (log.f64 x) 4) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4))) 1)))
(-.f64 (*.f64 x (*.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 x) 4) 1/18) (pow.f64 (pow.f64 (log.f64 x) 4) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)))) (log.f64 x))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (log.f64 x))) (+.f64 (*.f64 (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) 1/2))) (*.f64 (pow.f64 (*.f64 1 (log.f64 x)) 1/3) (*.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/3) (/.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) 1/2) (cbrt.f64 -1)))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))) (cbrt.f64 -1))))) (pow.f64 x 2)) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3)))) x)))
(fma.f64 -1 (log.f64 x) (fma.f64 (fma.f64 2/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/18) (pow.f64 (/.f64 1 (log.f64 x)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) (+.f64 (*.f64 -1/3 (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/18) (pow.f64 (/.f64 1 (log.f64 x)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) 1/2)) (*.f64 (cbrt.f64 (log.f64 x)) (*.f64 (cbrt.f64 -1) (fma.f64 -2/3 (*.f64 (cbrt.f64 (/.f64 1 (log.f64 x))) (/.f64 (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/18) (pow.f64 (/.f64 1 (log.f64 x)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) 1/2) (cbrt.f64 -1))) (*.f64 1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 4)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)))))))))) (*.f64 x x) (*.f64 x (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 x) 4) 1/18) (pow.f64 (pow.f64 (log.f64 x) 4) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4))) 1))))
(-.f64 (fma.f64 (fma.f64 2/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/18) (pow.f64 (/.f64 1 (log.f64 x)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) (fma.f64 -1/3 (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/18) (pow.f64 (/.f64 1 (log.f64 x)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) 1/2) (*.f64 (fma.f64 -2/3 (*.f64 (cbrt.f64 (/.f64 1 (log.f64 x))) (/.f64 (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/18) (pow.f64 (/.f64 1 (log.f64 x)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) 1/2) (cbrt.f64 -1))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 4)) 1/18)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))) 1/9))) (*.f64 (cbrt.f64 -1) (cbrt.f64 (log.f64 x)))))) (*.f64 x x) (*.f64 x (*.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 x) 4) 1/18) (pow.f64 (pow.f64 (log.f64 x) 4) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4))))) (log.f64 x))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (log.f64 x))) (+.f64 (*.f64 (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) 1/2))) (*.f64 (pow.f64 (*.f64 1 (log.f64 x)) 1/3) (*.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/3) (/.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) 1/2) (cbrt.f64 -1)))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))) (cbrt.f64 -1))))) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 2)) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/3) (/.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) 1/2) (cbrt.f64 -1)))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 1/3 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 5)) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) 1/2)))) (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))))) (+.f64 (*.f64 (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/3) (/.f64 (-.f64 1/3 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 5)) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) 1/2)))) (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))) (cbrt.f64 -1)))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 8)) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 8)) 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) 1/2))))) (cbrt.f64 -1)) (pow.f64 (*.f64 1 (log.f64 x)) 1/3)) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 5)) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) 1/2))))))) (pow.f64 x 3)) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3)))) x))))
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(*.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2)) (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n))
(*.f64 (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (sqrt.f64 n)) (/.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2)) (sqrt.f64 n)))
(*.f64 (/.f64 (cbrt.f64 (pow.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 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (sqrt.f64 n)) (/.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2)) (sqrt.f64 n)))
(*.f64 (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2)) (cbrt.f64 n)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2)) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (cbrt.f64 n)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2)) (cbrt.f64 n)) (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (pow.f64 (cbrt.f64 n) 2)))
(*.f64 (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2)) (cbrt.f64 n)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2)) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (cbrt.f64 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 (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 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (cbrt.f64 n)) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (pow.f64 (cbrt.f64 n) 2)))
(*.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 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2)) 1) (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2)) (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n))
(*.f64 (/.f64 (cbrt.f64 (pow.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 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2))) (pow.f64 (cbrt.f64 n) 2))
(*.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (/.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2)) (pow.f64 (cbrt.f64 n) 2)))
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) n) (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (-.f64 (log1p.f64 x) (log.f64 x)))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) n) (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (+.f64 (pow.f64 (log1p.f64 x) 2) (-.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log1p.f64 x) (log.f64 x)))))
(*.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (-.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 x) (log1p.f64 x)))) (/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) n) (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))))
(*.f64 (+.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) 2) (pow.f64 (log.f64 x) 2)) n) (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))))
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) n) (-.f64 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (*.f64 (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))))) (-.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) (*.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)) n) (-.f64 (pow.f64 (log1p.f64 x) 4) (*.f64 (pow.f64 (log.f64 x) 2) (*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (+.f64 (log.f64 x) (log1p.f64 x)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) n) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 4) (*.f64 (pow.f64 (log.f64 x) 2) (*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (+.f64 (log.f64 x) (log1p.f64 x))))) (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x))))))
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) n) (+.f64 (pow.f64 (pow.f64 (log1p.f64 x) 2) 3) (pow.f64 (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))) 3))) (-.f64 (+.f64 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (*.f64 (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))))) (*.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) 4) (-.f64 (*.f64 (pow.f64 (log.f64 x) 2) (*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (+.f64 (log.f64 x) (log1p.f64 x)))) (*.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)) (*.f64 (+.f64 (pow.f64 (pow.f64 (log1p.f64 x) 2) 3) (pow.f64 (*.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x))) 3)) n)))
(*.f64 (+.f64 (pow.f64 (log1p.f64 x) 4) (*.f64 (*.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x))) (-.f64 (*.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x))) (pow.f64 (log1p.f64 x) 2)))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (*.f64 n (+.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x))) 3) (pow.f64 (log1p.f64 x) 6)))))
(pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 1)
(/.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 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3)
(/.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 (/.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))
(log.f64 (pow.f64 (/.f64 (+.f64 x 1) 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)
(expm1.f64 (log1p.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)
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)

eval472.0ms (2.4%)

Compiler

Compiled 30504 to 12887 computations (57.8% saved)

prune432.0ms (2.2%)

Pruning

32 alts after pruning (29 fresh and 3 done)

PrunedKeptTotal
New1289111300
Fresh71825
Picked101
Done134
Total1298321330
Error
0.0b
Counts
1330 → 32
Alt Table
Click to see full alt table
StatusErrorProgram
19.8b
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3)
43.6b
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 2) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 (+.f64 1 x) x) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n))))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))))))
41.0b
(/.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 x))) 3) n)
19.8b
(/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x))))) 3) n)
28.2b
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
19.4b
(/.f64 (/.f64 1 (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
38.2b
(/.f64 (/.f64 1 x) n)
38.2b
(/.f64 (/.f64 1 n) x)
39.1b
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n)
34.2b
(/.f64 (-.f64 (*.f64 (log1p.f64 x) (/.f64 n (log.f64 x))) n) (*.f64 n (/.f64 n (log.f64 x))))
24.8b
(/.f64 (-.f64 (log1p.f64 x) (*.f64 3 (log.f64 (cbrt.f64 x)))) n)
40.8b
(/.f64 (-.f64 x (log.f64 x)) n)
33.5b
(/.f64 (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) (*.f64 n n))
40.7b
(/.f64 (neg.f64 (log.f64 x)) n)
16.9b
(/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n)
19.2b
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
40.1b
(/.f64 (log.f64 1) n)
19.7b
(/.f64 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
60.9b
(/.f64 x n)
19.4b
(/.f64 1 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))
38.3b
(/.f64 1 (*.f64 x n))
33.4b
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (cbrt.f64 (pow.f64 x (/.f64 3 n))))
39.1b
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 (/.f64 1/2 n) (*.f64 x x)))
39.3b
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))
43.3b
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
29.3b
(+.f64 (fma.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (*.f64 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) -1/2))
61.9b
(+.f64 (/.f64 x n) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)))
43.6b
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 2) (cbrt.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) (pow.f64 (fma.f64 x x x) (/.f64 1 n)))))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n)))))
28.0b
(*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n) (/.f64 1 x))
34.0b
(*.f64 (/.f64 1 (*.f64 n n)) (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))
40.7b
(*.f64 (log.f64 x) (/.f64 1 (neg.f64 n)))
60.2b
(expm1.f64 (/.f64 (log1p.f64 x) n))
Compiler

Compiled 896 to 629 computations (29.8% saved)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(log1p.f64 (+.f64 (/.f64 1 x) 0))
0.2b
(/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n)
Compiler

Compiled 28 to 21 computations (25% saved)

series50.0ms (0.3%)

Counts
2 → 36
Calls

9 calls:

TimeVariablePointExpression
36.0ms
n
@inf
(/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n)
14.0ms
n
@0
(/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n)
0.0ms
n
@-inf
(/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n)
0.0ms
x
@-inf
(/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n)
0.0ms
x
@0
(/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n)

rewrite64.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
1878×add-sqr-sqrt
1856×*-un-lft-identity
1736×add-cube-cbrt
1716×add-cbrt-cube
198×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01128
122828
2265128
Stop Event
node limit
Counts
2 → 48
Calls
Call 1
Inputs
(/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n)
(log1p.f64 (+.f64 (/.f64 1 x) 0))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log1p.f64 (pow.f64 x -1)) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (pow.f64 x -1)) (/.f64 1 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)) (sqrt.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (pow.f64 x -1))) (*.f64 (sqrt.f64 (log1p.f64 (pow.f64 x -1))) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)) 2) (cbrt.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) 2) (*.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 n) (log1p.f64 (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (log1p.f64 (pow.f64 x -1))) (/.f64 1 (neg.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 n)) (/.f64 (log1p.f64 (pow.f64 x -1)) (sqrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (log1p.f64 (pow.f64 x -1)) (cbrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log1p.f64 (pow.f64 x -1))) 1) (/.f64 (sqrt.f64 (log1p.f64 (pow.f64 x -1))) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log1p.f64 (pow.f64 x -1))) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (sqrt.f64 (log1p.f64 (pow.f64 x -1))) (cbrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) 2) 1) (/.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) 2) (sqrt.f64 n)) (/.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) (sqrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) 2) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 n (log1p.f64 (pow.f64 x -1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) (neg.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 (pow.f64 x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (pow.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (pow.f64 x -1))) (sqrt.f64 (log1p.f64 (pow.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) 2) (cbrt.f64 (log1p.f64 (pow.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (pow.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (pow.f64 x -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (pow.f64 x -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (pow.f64 x -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 x -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (pow.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (pow.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log1p.f64 (pow.f64 x -1))) 1))))))

simplify58.0ms (0.3%)

Algorithm
egg-herbie
Rules
1382×associate-*r/
1092×associate-/l*
864×unswap-sqr
770×associate-*l/
684×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01631982
13891938
218751938
Stop Event
node limit
Counts
84 → 118
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 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n))) 1)
(*.f64 1 (/.f64 (log1p.f64 (pow.f64 x -1)) n))
(*.f64 (log1p.f64 (pow.f64 x -1)) (/.f64 1 n))
(*.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n) 1)
(*.f64 (sqrt.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)) (sqrt.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)))
(*.f64 (sqrt.f64 (log1p.f64 (pow.f64 x -1))) (*.f64 (sqrt.f64 (log1p.f64 (pow.f64 x -1))) (/.f64 1 n)))
(*.f64 (cbrt.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)) 2) (cbrt.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) 2) (*.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) (/.f64 1 n)))
(*.f64 (/.f64 1 n) (log1p.f64 (pow.f64 x -1)))
(*.f64 (neg.f64 (log1p.f64 (pow.f64 x -1))) (/.f64 1 (neg.f64 n)))
(*.f64 (/.f64 1 (sqrt.f64 n)) (/.f64 (log1p.f64 (pow.f64 x -1)) (sqrt.f64 n)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (log1p.f64 (pow.f64 x -1)) (cbrt.f64 n)))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (pow.f64 x -1))) 1) (/.f64 (sqrt.f64 (log1p.f64 (pow.f64 x -1))) n))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (pow.f64 x -1))) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (sqrt.f64 (log1p.f64 (pow.f64 x -1))) (cbrt.f64 n)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) 2) 1) (/.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) n))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) 2) (sqrt.f64 n)) (/.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) (sqrt.f64 n)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) 2) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)))
(pow.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n) 1)
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)) 2)
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)) 3)
(pow.f64 (pow.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n) 3) 1/3)
(pow.f64 (/.f64 n (log1p.f64 (pow.f64 x -1))) -1)
(neg.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) (neg.f64 n)))
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n) 2))
(log.f64 (exp.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n))))
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n) 3))
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)))
(exp.f64 (log.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)))
(exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)) 1))
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (pow.f64 x -1)))) 1)
(*.f64 1 (log1p.f64 (pow.f64 x -1)))
(*.f64 (log1p.f64 (pow.f64 x -1)) 1)
(*.f64 (sqrt.f64 (log1p.f64 (pow.f64 x -1))) (sqrt.f64 (log1p.f64 (pow.f64 x -1))))
(*.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) 2) (cbrt.f64 (log1p.f64 (pow.f64 x -1))))
(pow.f64 (log1p.f64 (pow.f64 x -1)) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (pow.f64 x -1))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) 3)
(pow.f64 (pow.f64 (log1p.f64 (pow.f64 x -1)) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (pow.f64 x -1)) 2))
(log.f64 (+.f64 1 (pow.f64 x -1)))
(cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 x -1)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (pow.f64 x -1))))
(exp.f64 (log.f64 (log1p.f64 (pow.f64 x -1))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (pow.f64 x -1))) 1))
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 (*.f64 x x) (/.f64 n -1/2)) (/.f64 (log.f64 x) n)))
(-.f64 (/.f64 x n) (-.f64 (/.f64 (log.f64 x) n) (*.f64 -1/2 (/.f64 x (/.f64 n x)))))
(+.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 (*.f64 x x) (/.f64 n -1/2)) (/.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 (/.f64 x n) (-.f64 (/.f64 (log.f64 x) n) (*.f64 -1/2 (/.f64 x (/.f64 n x))))))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 x n))
(/.f64 (pow.f64 x -1) 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 (pow.f64 x -1) 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 (/.f64 1 (*.f64 x n)) (/.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 (/.f64 (/.f64 1/2 x) x) n)) (/.f64 1/3 (*.f64 n (pow.f64 x 3))))
(+.f64 (/.f64 (pow.f64 x -1) n) (+.f64 (/.f64 (/.f64 1/3 n) (pow.f64 x 3)) (/.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 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 1/3 (*.f64 n (pow.f64 x 3))) (-.f64 (-.f64 (/.f64 1 (*.f64 x n)) (/.f64 (/.f64 (/.f64 1/2 x) x) n)) (/.f64 1/4 (*.f64 n (pow.f64 x 4)))))
(+.f64 (/.f64 (pow.f64 x -1) n) (+.f64 (/.f64 (/.f64 1/3 n) (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 (/.f64 -1/2 x) x) n) (/.f64 (/.f64 -1/4 (pow.f64 x 4)) n))))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 x n))
(/.f64 (pow.f64 x -1) 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))
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(/.f64 1 x)
(pow.f64 x -1)
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x)))
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(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/4 (pow.f64 x 4))))
(-.f64 (+.f64 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 (/.f64 1/2 x) x))) (/.f64 1/4 (pow.f64 x 4)))
(+.f64 (pow.f64 x -1) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 -1/2 x) x) (/.f64 -1/4 (pow.f64 x 4)))))
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(*.f64 1 (/.f64 (log1p.f64 (pow.f64 x -1)) n))
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(/.f64 (log1p.f64 (pow.f64 x -1)) n)
(*.f64 (log1p.f64 (pow.f64 x -1)) (/.f64 1 n))
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (log1p.f64 (pow.f64 x -1)) n)
(*.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n) 1)
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (log1p.f64 (pow.f64 x -1)) n)
(*.f64 (sqrt.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)) (sqrt.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)))
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (log1p.f64 (pow.f64 x -1)) n)
(*.f64 (sqrt.f64 (log1p.f64 (pow.f64 x -1))) (*.f64 (sqrt.f64 (log1p.f64 (pow.f64 x -1))) (/.f64 1 n)))
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (log1p.f64 (pow.f64 x -1)) n)
(*.f64 (cbrt.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)) 2))
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (log1p.f64 (pow.f64 x -1)) n)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)) 2) (cbrt.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)))
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (log1p.f64 (pow.f64 x -1)) n)
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) 2) (*.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) (/.f64 1 n)))
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (log1p.f64 (pow.f64 x -1)) n)
(*.f64 (/.f64 1 n) (log1p.f64 (pow.f64 x -1)))
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (log1p.f64 (pow.f64 x -1)) n)
(*.f64 (neg.f64 (log1p.f64 (pow.f64 x -1))) (/.f64 1 (neg.f64 n)))
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (log1p.f64 (pow.f64 x -1)) n)
(*.f64 (/.f64 1 (sqrt.f64 n)) (/.f64 (log1p.f64 (pow.f64 x -1)) (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 (pow.f64 x -1)) (*.f64 (sqrt.f64 n) (sqrt.f64 n)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (log1p.f64 (pow.f64 x -1)) (cbrt.f64 n)))
(/.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (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 (pow.f64 x -1)) (*.f64 (pow.f64 (cbrt.f64 n) 2) (cbrt.f64 n)))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (pow.f64 x -1))) 1) (/.f64 (sqrt.f64 (log1p.f64 (pow.f64 x -1))) n))
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (log1p.f64 (pow.f64 x -1)) n)
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (pow.f64 x -1))) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (sqrt.f64 (log1p.f64 (pow.f64 x -1))) (cbrt.f64 n)))
(/.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (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 (pow.f64 x -1)) (*.f64 (pow.f64 (cbrt.f64 n) 2) (cbrt.f64 n)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) 2) 1) (/.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) n))
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (log1p.f64 (pow.f64 x -1)) n)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) 2) (sqrt.f64 n)) (/.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) (sqrt.f64 n)))
(*.f64 (/.f64 1 (sqrt.f64 n)) (/.f64 (log1p.f64 (/.f64 1 x)) (sqrt.f64 n)))
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(/.f64 (log1p.f64 (pow.f64 x -1)) (*.f64 (sqrt.f64 n) (sqrt.f64 n)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) 2) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x))) 2) (cbrt.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n))) (pow.f64 (cbrt.f64 n) 2))
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(/.f64 (cbrt.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)) (/.f64 (pow.f64 (cbrt.f64 n) 2) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) 2)))
(pow.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n) 1)
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (log1p.f64 (pow.f64 x -1)) n)
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)) 2)
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (log1p.f64 (pow.f64 x -1)) n)
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)) 3)
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (log1p.f64 (pow.f64 x -1)) n)
(pow.f64 (pow.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n) 3) 1/3)
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (log1p.f64 (pow.f64 x -1)) n)
(pow.f64 (/.f64 n (log1p.f64 (pow.f64 x -1))) -1)
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (log1p.f64 (pow.f64 x -1)) n)
(neg.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) (neg.f64 n)))
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (log1p.f64 (pow.f64 x -1)) n)
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n) 2))
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (log1p.f64 (pow.f64 x -1)) n)
(log.f64 (exp.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)))
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (log1p.f64 (pow.f64 x -1)) n)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n))))
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (log1p.f64 (pow.f64 x -1)) n)
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n) 3))
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (log1p.f64 (pow.f64 x -1)) n)
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)))
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (log1p.f64 (pow.f64 x -1)) n)
(exp.f64 (log.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)))
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(/.f64 (log1p.f64 (pow.f64 x -1)) n)
(exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)) 1))
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (log1p.f64 (pow.f64 x -1)) n)
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(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (log1p.f64 (pow.f64 x -1)) n)
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (pow.f64 x -1)))) 1)
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(log1p.f64 (pow.f64 x -1))
(*.f64 1 (log1p.f64 (pow.f64 x -1)))
(log1p.f64 (/.f64 1 x))
(log1p.f64 (pow.f64 x -1))
(*.f64 (log1p.f64 (pow.f64 x -1)) 1)
(log1p.f64 (/.f64 1 x))
(log1p.f64 (pow.f64 x -1))
(*.f64 (sqrt.f64 (log1p.f64 (pow.f64 x -1))) (sqrt.f64 (log1p.f64 (pow.f64 x -1))))
(log1p.f64 (/.f64 1 x))
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(*.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) 2))
(log1p.f64 (/.f64 1 x))
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(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) 2) (cbrt.f64 (log1p.f64 (pow.f64 x -1))))
(log1p.f64 (/.f64 1 x))
(log1p.f64 (pow.f64 x -1))
(pow.f64 (log1p.f64 (pow.f64 x -1)) 1)
(log1p.f64 (/.f64 1 x))
(log1p.f64 (pow.f64 x -1))
(pow.f64 (sqrt.f64 (log1p.f64 (pow.f64 x -1))) 2)
(log1p.f64 (/.f64 1 x))
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(pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) 3)
(log1p.f64 (/.f64 1 x))
(log1p.f64 (pow.f64 x -1))
(pow.f64 (pow.f64 (log1p.f64 (pow.f64 x -1)) 3) 1/3)
(log1p.f64 (/.f64 1 x))
(log1p.f64 (pow.f64 x -1))
(sqrt.f64 (pow.f64 (log1p.f64 (pow.f64 x -1)) 2))
(log1p.f64 (/.f64 1 x))
(log1p.f64 (pow.f64 x -1))
(log.f64 (+.f64 1 (pow.f64 x -1)))
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(log1p.f64 (pow.f64 x -1))
(cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 x -1)) 3))
(log1p.f64 (/.f64 1 x))
(log1p.f64 (pow.f64 x -1))
(expm1.f64 (log1p.f64 (log1p.f64 (pow.f64 x -1))))
(log1p.f64 (/.f64 1 x))
(log1p.f64 (pow.f64 x -1))
(exp.f64 (log.f64 (log1p.f64 (pow.f64 x -1))))
(log1p.f64 (/.f64 1 x))
(log1p.f64 (pow.f64 x -1))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (pow.f64 x -1))) 1))
(log1p.f64 (/.f64 1 x))
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localize5.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.3b
(/.f64 1 (*.f64 x n))
Compiler

Compiled 13 to 6 computations (53.8% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite54.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
1300×add-sqr-sqrt
1284×*-un-lft-identity
1192×add-cube-cbrt
1176×add-cbrt-cube
1162×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
113913
2164913
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 (pow.f64 (*.f64 x n) -1/2) (pow.f64 (*.f64 x n) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (*.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)) (cbrt.f64 (/.f64 1 (*.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 1 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (pow.f64 n -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (*.f64 x (neg.f64 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 (sqrt.f64 (*.f64 x n)) -1) (pow.f64 (sqrt.f64 (*.f64 x n)) -1))))) (#(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 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 x n) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (*.f64 x n))) 3)))) (#(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 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 exp.f64 (neg.f64 (log.f64 (*.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (*.f64 x n))))))))

simplify58.0ms (0.3%)

Algorithm
egg-herbie
Rules
1764×associate-/r*
1214×associate-*r*
1008×associate-*l*
956×associate-/l/
668×associate-/r/
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
062647
1151647
2548641
33542635
Stop Event
node limit
Counts
47 → 29
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 (pow.f64 (*.f64 x n) -1/2) (pow.f64 (*.f64 x n) -1/2))
(*.f64 (cbrt.f64 (/.f64 1 (*.f64 x n))) (cbrt.f64 (pow.f64 (*.f64 x n) -2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x n) -2)) (cbrt.f64 (/.f64 1 (*.f64 x n))))
(*.f64 (/.f64 1 x) (/.f64 1 n))
(*.f64 (/.f64 1 x) (pow.f64 n -1))
(*.f64 -1 (/.f64 1 (*.f64 x (neg.f64 n))))
(*.f64 (pow.f64 n -1) (/.f64 1 x))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x n)) -1) (pow.f64 (sqrt.f64 (*.f64 x n)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x n)) 2) -1) (pow.f64 (cbrt.f64 (*.f64 x n)) -1))
(pow.f64 (*.f64 x n) -1)
(pow.f64 (/.f64 1 (*.f64 x n)) 1)
(pow.f64 (pow.f64 (*.f64 x n) -1/2) 2)
(pow.f64 (cbrt.f64 (/.f64 1 (*.f64 x n))) 3)
(pow.f64 (pow.f64 (/.f64 1 (*.f64 x n)) 3) 1/3)
(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))))
(exp.f64 (neg.f64 (log.f64 (*.f64 x n))))
(log1p.f64 (expm1.f64 (/.f64 1 (*.f64 x n))))
Outputs
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(*.f64 1 (/.f64 1 (*.f64 x n)))
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(*.f64 (/.f64 1 (*.f64 x n)) 1)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(*.f64 (pow.f64 (*.f64 x n) -1/2) (pow.f64 (*.f64 x n) -1/2))
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(*.f64 (cbrt.f64 (/.f64 1 (*.f64 x n))) (cbrt.f64 (pow.f64 (*.f64 x n) -2)))
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x n) -2)) (cbrt.f64 (/.f64 1 (*.f64 x n))))
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(*.f64 (/.f64 1 x) (/.f64 1 n))
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(*.f64 (/.f64 1 x) (pow.f64 n -1))
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(*.f64 -1 (/.f64 1 (*.f64 x (neg.f64 n))))
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(*.f64 (pow.f64 n -1) (/.f64 1 x))
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x n)) -1) (pow.f64 (sqrt.f64 (*.f64 x n)) -1))
(pow.f64 (sqrt.f64 (*.f64 n x)) -2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x n)) 2) -1) (pow.f64 (cbrt.f64 (*.f64 x n)) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 n x)) 2)) (/.f64 1 (cbrt.f64 (*.f64 n x))))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 n x)) 2)) (cbrt.f64 (*.f64 n x)))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 n x)) -2) (cbrt.f64 (*.f64 n x)))
(pow.f64 (*.f64 x n) -1)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(pow.f64 (/.f64 1 (*.f64 x n)) 1)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(pow.f64 (pow.f64 (*.f64 x n) -1/2) 2)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(pow.f64 (cbrt.f64 (/.f64 1 (*.f64 x n))) 3)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(pow.f64 (pow.f64 (/.f64 1 (*.f64 x n)) 3) 1/3)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(sqrt.f64 (pow.f64 (*.f64 x n) -2))
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(log.f64 (exp.f64 (/.f64 1 (*.f64 x n))))
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(cbrt.f64 (pow.f64 (/.f64 1 (*.f64 x n)) 3))
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(expm1.f64 (log1p.f64 (/.f64 1 (*.f64 x n))))
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(exp.f64 (neg.f64 (log.f64 (*.f64 x n))))
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(log1p.f64 (expm1.f64 (/.f64 1 (*.f64 x n))))
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(-.f64 x (log.f64 x))
0.1b
(/.f64 (-.f64 x (log.f64 x)) n)
Compiler

Compiled 16 to 5 computations (68.8% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

9 calls:

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

rewrite82.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1258×associate-*r/
1224×associate-/r*
1088×associate-/l*
896×*-commutative
892×associate-*l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0828
117328
2250528
Stop Event
node limit
Counts
2 → 166
Calls
Call 1
Inputs
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 x (log.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 x (log.f64 x)) n) (*.f64 (/.f64 1 n) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 x (log.f64 x)) n) (*.f64 (/.f64 1 n) (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 (/.f64 (-.f64 x (log.f64 x)) n) (*.f64 (/.f64 1 n) (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 x n) (neg.f64 (/.f64 (log.f64 x) n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x n) (*.f64 1 (neg.f64 (/.f64 (log.f64 x) n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x n) (*.f64 (/.f64 1 n) (neg.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 (log.f64 x) n)) (/.f64 x n))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 n) (neg.f64 (log.f64 x))) (/.f64 x n))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x n) (/.f64 (log.f64 x) n))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 x (log.f64 x)) n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (log.f64 x)) (/.f64 1 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x (log.f64 x)) n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 x (log.f64 x)) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 x (log.f64 x)) n)) (sqrt.f64 (/.f64 (-.f64 x (log.f64 x)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (log.f64 x))) (/.f64 (sqrt.f64 (-.f64 x (log.f64 x))) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 x (log.f64 x)) n)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 x (log.f64 x)) n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 x (log.f64 x)) n)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 x))) 2) (pow.f64 (cbrt.f64 n) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x (log.f64 x)) n)) 2) (cbrt.f64 (/.f64 (-.f64 x (log.f64 x)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 x))) 2) (/.f64 (cbrt.f64 (-.f64 x (log.f64 x))) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 n) (-.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 x (log.f64 x))) (/.f64 -1 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x (log.f64 x))) n) (sqrt.f64 (-.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x (log.f64 x))) n) (/.f64 (sqrt.f64 (-.f64 x (log.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (-.f64 x (log.f64 x))) n) (pow.f64 (cbrt.f64 (-.f64 x (log.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (-.f64 x (log.f64 x))) n) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 x))) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x (log.f64 x)) (sqrt.f64 n)) (/.f64 1 (sqrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 n)) (/.f64 (-.f64 x (log.f64 x)) (sqrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (-.f64 x (log.f64 x)) (cbrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x (log.f64 x)) (cbrt.f64 n)) (/.f64 1 (pow.f64 (cbrt.f64 n) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 n) (neg.f64 (-.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x (log.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 x (log.f64 x))) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x (log.f64 x))) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (sqrt.f64 (-.f64 x (log.f64 x))) (cbrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 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simplify116.0ms (0.6%)

Algorithm
egg-herbie
Rules
1220×associate-+r+
1212×associate-+l+
988×+-commutative
682×associate-/l*
658×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04157202
112056914
265416890
Stop Event
node limit
Counts
190 → 248
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 (log.f64 x) n))
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x
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x
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(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (log.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (log.f64 x)))
Outputs
(*.f64 -1 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(+.f64 (/.f64 x n) (*.f64 -1 (/.f64 (log.f64 x) n)))
(/.f64 (-.f64 x (log.f64 x)) n)
(+.f64 (/.f64 x n) (*.f64 -1 (/.f64 (log.f64 x) n)))
(/.f64 (-.f64 x (log.f64 x)) n)
(+.f64 (/.f64 x n) (*.f64 -1 (/.f64 (log.f64 x) n)))
(/.f64 (-.f64 x (log.f64 x)) n)
(/.f64 x n)
(+.f64 (/.f64 (log.f64 (/.f64 1 x)) n) (/.f64 x n))
(/.f64 (-.f64 x (log.f64 x)) n)
(+.f64 (/.f64 (log.f64 (/.f64 1 x)) n) (/.f64 x n))
(/.f64 (-.f64 x (log.f64 x)) n)
(+.f64 (/.f64 (log.f64 (/.f64 1 x)) n) (/.f64 x n))
(/.f64 (-.f64 x (log.f64 x)) n)
(/.f64 x n)
(+.f64 (/.f64 x n) (*.f64 -1 (+.f64 (/.f64 (log.f64 -1) n) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) n)))))
(+.f64 (/.f64 x n) (neg.f64 (+.f64 (/.f64 (log.f64 -1) n) (/.f64 (neg.f64 (log.f64 (/.f64 -1 x))) n))))
(-.f64 (/.f64 x n) (-.f64 (/.f64 (log.f64 -1) n) (/.f64 (log.f64 (/.f64 -1 x)) n)))
(+.f64 (/.f64 x n) (*.f64 -1 (+.f64 (/.f64 (log.f64 -1) n) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) n)))))
(+.f64 (/.f64 x n) (neg.f64 (+.f64 (/.f64 (log.f64 -1) n) (/.f64 (neg.f64 (log.f64 (/.f64 -1 x))) n))))
(-.f64 (/.f64 x n) (-.f64 (/.f64 (log.f64 -1) n) (/.f64 (log.f64 (/.f64 -1 x)) n)))
(+.f64 (/.f64 x n) (*.f64 -1 (+.f64 (/.f64 (log.f64 -1) n) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) n)))))
(+.f64 (/.f64 x n) (neg.f64 (+.f64 (/.f64 (log.f64 -1) n) (/.f64 (neg.f64 (log.f64 (/.f64 -1 x))) n))))
(-.f64 (/.f64 x n) (-.f64 (/.f64 (log.f64 -1) n) (/.f64 (log.f64 (/.f64 -1 x)) n)))
(*.f64 -1 (log.f64 x))
(neg.f64 (log.f64 x))
(+.f64 x (*.f64 -1 (log.f64 x)))
(-.f64 x (log.f64 x))
(+.f64 x (*.f64 -1 (log.f64 x)))
(-.f64 x (log.f64 x))
(+.f64 x (*.f64 -1 (log.f64 x)))
(-.f64 x (log.f64 x))
x
(+.f64 (log.f64 (/.f64 1 x)) x)
(-.f64 x (log.f64 x))
(+.f64 (log.f64 (/.f64 1 x)) x)
(-.f64 x (log.f64 x))
(+.f64 (log.f64 (/.f64 1 x)) x)
(-.f64 x (log.f64 x))
x
(+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) x)
(fma.f64 -1 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) x)
(-.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) x)
(fma.f64 -1 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) x)
(-.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) x)
(fma.f64 -1 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) x)
(-.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(+.f64 (/.f64 (-.f64 x (log.f64 x)) n) (*.f64 (/.f64 1 n) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x))))
(+.f64 (/.f64 (-.f64 x (log.f64 x)) n) (/.f64 (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)) n))
(*.f64 (/.f64 1 n) (-.f64 (+.f64 (-.f64 x (log.f64 x)) (log.f64 x)) (log.f64 x)))
(*.f64 (/.f64 1 n) (-.f64 (+.f64 (log.f64 x) (-.f64 x (log.f64 x))) (log.f64 x)))
(+.f64 (/.f64 (-.f64 x (log.f64 x)) n) (*.f64 (/.f64 1 n) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x))))
(+.f64 (/.f64 (-.f64 x (log.f64 x)) n) (/.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)) n))
(+.f64 (/.f64 (-.f64 x (log.f64 x)) n) (*.f64 (/.f64 1 n) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x))))
(+.f64 (/.f64 (-.f64 x (log.f64 x)) n) (/.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)) n))
(+.f64 (/.f64 x n) (neg.f64 (/.f64 (log.f64 x) n)))
(/.f64 (-.f64 x (log.f64 x)) n)
(+.f64 (/.f64 x n) (*.f64 1 (neg.f64 (/.f64 (log.f64 x) n))))
(/.f64 (-.f64 x (log.f64 x)) n)
(+.f64 (/.f64 x n) (*.f64 (/.f64 1 n) (neg.f64 (log.f64 x))))
(/.f64 (-.f64 x (log.f64 x)) n)
(+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (/.f64 x n))
(/.f64 (-.f64 x (log.f64 x)) n)
(+.f64 (*.f64 (/.f64 1 n) (neg.f64 (log.f64 x))) (/.f64 x n))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 x (log.f64 x)) n))) 1)
(/.f64 (-.f64 x (log.f64 x)) n)
(*.f64 (-.f64 x (log.f64 x)) (/.f64 1 n))
(/.f64 (-.f64 x (log.f64 x)) n)
(*.f64 (/.f64 (-.f64 x (log.f64 x)) n) 1)
(/.f64 (-.f64 x (log.f64 x)) n)
(*.f64 1 (/.f64 (-.f64 x (log.f64 x)) n))
(/.f64 (-.f64 x (log.f64 x)) n)
(*.f64 (sqrt.f64 (/.f64 (-.f64 x (log.f64 x)) n)) (sqrt.f64 (/.f64 (-.f64 x (log.f64 x)) n)))
(/.f64 (-.f64 x (log.f64 x)) n)
(*.f64 (sqrt.f64 (-.f64 x (log.f64 x))) (/.f64 (sqrt.f64 (-.f64 x (log.f64 x))) n))
(/.f64 (-.f64 x (log.f64 x)) n)
(*.f64 (cbrt.f64 (/.f64 (-.f64 x (log.f64 x)) n)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 x (log.f64 x)) n)) 2))
(/.f64 (-.f64 x (log.f64 x)) n)
(*.f64 (cbrt.f64 (/.f64 (-.f64 x (log.f64 x)) n)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 x))) 2) (pow.f64 (cbrt.f64 n) 2)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 x (log.f64 x)) n)) (pow.f64 (cbrt.f64 (-.f64 x (log.f64 x))) 2)) (pow.f64 (cbrt.f64 n) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x (log.f64 x)) n)) 2) (cbrt.f64 (/.f64 (-.f64 x (log.f64 x)) n)))
(/.f64 (-.f64 x (log.f64 x)) n)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 x))) 2) (/.f64 (cbrt.f64 (-.f64 x (log.f64 x))) n))
(/.f64 (-.f64 x (log.f64 x)) n)
(*.f64 (/.f64 1 n) (-.f64 x (log.f64 x)))
(/.f64 (-.f64 x (log.f64 x)) n)
(*.f64 (neg.f64 (-.f64 x (log.f64 x))) (/.f64 -1 n))
(/.f64 (-.f64 x (log.f64 x)) n)
(*.f64 (/.f64 (sqrt.f64 (-.f64 x (log.f64 x))) n) (sqrt.f64 (-.f64 x (log.f64 x))))
(/.f64 (-.f64 x (log.f64 x)) n)
(*.f64 (/.f64 (sqrt.f64 (-.f64 x (log.f64 x))) n) (/.f64 (sqrt.f64 (-.f64 x (log.f64 x))) 1))
(/.f64 (-.f64 x (log.f64 x)) n)
(*.f64 (/.f64 (cbrt.f64 (-.f64 x (log.f64 x))) n) (pow.f64 (cbrt.f64 (-.f64 x (log.f64 x))) 2))
(/.f64 (-.f64 x (log.f64 x)) n)
(*.f64 (/.f64 (cbrt.f64 (-.f64 x (log.f64 x))) n) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 x))) 2) 1))
(/.f64 (-.f64 x (log.f64 x)) n)
(*.f64 (/.f64 (-.f64 x (log.f64 x)) (sqrt.f64 n)) (/.f64 1 (sqrt.f64 n)))
(/.f64 (*.f64 (/.f64 1 (sqrt.f64 n)) (-.f64 x (log.f64 x))) (sqrt.f64 n))
(/.f64 (/.f64 (-.f64 x (log.f64 x)) (sqrt.f64 n)) (sqrt.f64 n))
(*.f64 (/.f64 1 (sqrt.f64 n)) (/.f64 (-.f64 x (log.f64 x)) (sqrt.f64 n)))
(/.f64 (*.f64 (/.f64 1 (sqrt.f64 n)) (-.f64 x (log.f64 x))) (sqrt.f64 n))
(/.f64 (/.f64 (-.f64 x (log.f64 x)) (sqrt.f64 n)) (sqrt.f64 n))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (-.f64 x (log.f64 x)) (cbrt.f64 n)))
(/.f64 (/.f64 (-.f64 x (log.f64 x)) (cbrt.f64 n)) (pow.f64 (cbrt.f64 n) 2))
(*.f64 (/.f64 (-.f64 x (log.f64 x)) (cbrt.f64 n)) (/.f64 1 (pow.f64 (cbrt.f64 n) 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (-.f64 x (log.f64 x)) (cbrt.f64 n)))
(/.f64 (/.f64 (-.f64 x (log.f64 x)) (cbrt.f64 n)) (pow.f64 (cbrt.f64 n) 2))
(*.f64 (/.f64 -1 n) (neg.f64 (-.f64 x (log.f64 x))))
(/.f64 (-.f64 x (log.f64 x)) n)
(*.f64 (/.f64 (sqrt.f64 (-.f64 x (log.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 x (log.f64 x))) n))
(/.f64 (-.f64 x (log.f64 x)) n)
(*.f64 (/.f64 (sqrt.f64 (-.f64 x (log.f64 x))) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (sqrt.f64 (-.f64 x (log.f64 x))) (cbrt.f64 n)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (-.f64 x (log.f64 x)) (cbrt.f64 n)))
(/.f64 (/.f64 (-.f64 x (log.f64 x)) (cbrt.f64 n)) (pow.f64 (cbrt.f64 n) 2))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x (log.f64 x))) (cbrt.f64 n)) (/.f64 (sqrt.f64 (-.f64 x (log.f64 x))) (pow.f64 (cbrt.f64 n) 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (-.f64 x (log.f64 x)) (cbrt.f64 n)))
(/.f64 (/.f64 (-.f64 x (log.f64 x)) (cbrt.f64 n)) (pow.f64 (cbrt.f64 n) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 x))) 2) 1) (/.f64 (cbrt.f64 (-.f64 x (log.f64 x))) n))
(/.f64 (-.f64 x (log.f64 x)) n)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 x))) 2) (sqrt.f64 n)) (/.f64 (cbrt.f64 (-.f64 x (log.f64 x))) (sqrt.f64 n)))
(/.f64 (*.f64 (/.f64 1 (sqrt.f64 n)) (-.f64 x (log.f64 x))) (sqrt.f64 n))
(/.f64 (/.f64 (-.f64 x (log.f64 x)) (sqrt.f64 n)) (sqrt.f64 n))
(*.f64 (/.f64 (cbrt.f64 (-.f64 x (log.f64 x))) (sqrt.f64 n)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 x))) 2) (sqrt.f64 n)))
(/.f64 (*.f64 (/.f64 1 (sqrt.f64 n)) (-.f64 x (log.f64 x))) (sqrt.f64 n))
(/.f64 (/.f64 (-.f64 x (log.f64 x)) (sqrt.f64 n)) (sqrt.f64 n))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 x))) 2) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (/.f64 (-.f64 x (log.f64 x)) n)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 x (log.f64 x)) n)) (pow.f64 (cbrt.f64 (-.f64 x (log.f64 x))) 2)) (pow.f64 (cbrt.f64 n) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 x))) 2) n) (cbrt.f64 (-.f64 x (log.f64 x))))
(/.f64 (-.f64 x (log.f64 x)) n)
(*.f64 (/.f64 1 (/.f64 n (pow.f64 (cbrt.f64 (-.f64 x (log.f64 x))) 2))) (cbrt.f64 (-.f64 x (log.f64 x))))
(/.f64 (-.f64 x (log.f64 x)) n)
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) 2)) n) (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) 2))) (-.f64 x (log.f64 x)))
(/.f64 (-.f64 x (log.f64 x)) n)
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) 2)) n) (+.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3))) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (log.f64 x) 2) (*.f64 x (log.f64 x)))))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) 2)) (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3)) n)) (fma.f64 x x (-.f64 (pow.f64 (log.f64 x) 2) (*.f64 x (log.f64 x)))))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) 2)) (*.f64 n (+.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3)))) (fma.f64 x x (*.f64 (log.f64 x) (-.f64 (log.f64 x) x))))
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3)) n) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (log.f64 x) (+.f64 x (log.f64 x))) (*.f64 (log.f64 x) (+.f64 x (log.f64 x)))))) (-.f64 (*.f64 x x) (*.f64 (log.f64 x) (+.f64 x (log.f64 x)))))
(*.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3)) (*.f64 (-.f64 (*.f64 x (pow.f64 x 3)) (*.f64 (pow.f64 (log.f64 x) 2) (*.f64 (+.f64 x (log.f64 x)) (+.f64 x (log.f64 x))))) n)) (-.f64 (*.f64 x x) (*.f64 (log.f64 x) (+.f64 x (log.f64 x)))))
(*.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3)) (*.f64 n (-.f64 (pow.f64 x 4) (*.f64 (+.f64 x (log.f64 x)) (*.f64 (pow.f64 (log.f64 x) 2) (+.f64 x (log.f64 x))))))) (fma.f64 x x (*.f64 (log.f64 x) (-.f64 (neg.f64 (log.f64 x)) x))))
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3)) n) (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 (log.f64 x) (+.f64 x (log.f64 x))) 3))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (log.f64 x) (+.f64 x (log.f64 x))) (*.f64 (log.f64 x) (+.f64 x (log.f64 x)))) (*.f64 (*.f64 x x) (*.f64 (log.f64 x) (+.f64 x (log.f64 x)))))))
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3)) n) (+.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x (log.f64 x))) 3) (pow.f64 x 6))) (+.f64 (*.f64 x (pow.f64 x 3)) (*.f64 (*.f64 (log.f64 x) (+.f64 x (log.f64 x))) (-.f64 (*.f64 (log.f64 x) (+.f64 x (log.f64 x))) (*.f64 x x)))))
(/.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3)) n) (fma.f64 (*.f64 (log.f64 x) (+.f64 x (log.f64 x))) (-.f64 (*.f64 (log.f64 x) (+.f64 x (log.f64 x))) (*.f64 x x)) (pow.f64 x 4))) (+.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x (log.f64 x))) 3) (pow.f64 x 6)))
(pow.f64 (/.f64 (-.f64 x (log.f64 x)) n) 1)
(/.f64 (-.f64 x (log.f64 x)) n)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 x (log.f64 x)) n)) 2)
(/.f64 (-.f64 x (log.f64 x)) n)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 x (log.f64 x)) n)) 3)
(/.f64 (-.f64 x (log.f64 x)) n)
(pow.f64 (pow.f64 (/.f64 (-.f64 x (log.f64 x)) n) 3) 1/3)
(/.f64 (-.f64 x (log.f64 x)) n)
(pow.f64 (/.f64 n (-.f64 x (log.f64 x))) -1)
(/.f64 (-.f64 x (log.f64 x)) n)
(neg.f64 (/.f64 (-.f64 x (log.f64 x)) (neg.f64 n)))
(/.f64 (-.f64 x (log.f64 x)) n)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 x (log.f64 x)) n) 2))
(fabs.f64 (/.f64 (-.f64 x (log.f64 x)) n))
(log.f64 (exp.f64 (/.f64 (-.f64 x (log.f64 x)) n)))
(/.f64 (-.f64 x (log.f64 x)) n)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 x (log.f64 x)) n))))
(/.f64 (-.f64 x (log.f64 x)) n)
(cbrt.f64 (pow.f64 (/.f64 (-.f64 x (log.f64 x)) n) 3))
(/.f64 (-.f64 x (log.f64 x)) n)
(expm1.f64 (log1p.f64 (/.f64 (-.f64 x (log.f64 x)) n)))
(/.f64 (-.f64 x (log.f64 x)) n)
(exp.f64 (log.f64 (/.f64 (-.f64 x (log.f64 x)) n)))
(/.f64 (-.f64 x (log.f64 x)) n)
(log1p.f64 (expm1.f64 (/.f64 (-.f64 x (log.f64 x)) n)))
(/.f64 (-.f64 x (log.f64 x)) n)
(+.f64 x (neg.f64 (log.f64 x)))
(-.f64 x (log.f64 x))
(+.f64 x (+.f64 (neg.f64 (log.f64 x)) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x))))
(+.f64 (-.f64 x (log.f64 x)) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(-.f64 (+.f64 (-.f64 x (log.f64 x)) (log.f64 x)) (log.f64 x))
(-.f64 (+.f64 (log.f64 x) (-.f64 x (log.f64 x))) (log.f64 x))
(+.f64 x (+.f64 (neg.f64 (log.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x))))
(+.f64 (-.f64 x (log.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))
(+.f64 x (-.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)) (log.f64 x)))
(+.f64 x (+.f64 (neg.f64 (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 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 x (-.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)) (log.f64 x)))
(+.f64 (-.f64 x (log.f64 x)) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(-.f64 (+.f64 (-.f64 x (log.f64 x)) (log.f64 x)) (log.f64 x))
(-.f64 (+.f64 (log.f64 x) (-.f64 x (log.f64 x))) (log.f64 x))
(+.f64 (-.f64 x (log.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))
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(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3)) (fma.f64 x x (*.f64 (log.f64 x) (+.f64 x (log.f64 x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3)) (sqrt.f64 (fma.f64 x x (*.f64 (log.f64 x) (+.f64 x (log.f64 x)))))) (sqrt.f64 (fma.f64 x x (*.f64 (log.f64 x) (+.f64 x (log.f64 x))))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3)) (fma.f64 x x (*.f64 (log.f64 x) (+.f64 x (log.f64 x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (log.f64 x) (+.f64 x (log.f64 x))))) (cbrt.f64 (fma.f64 x x (*.f64 (log.f64 x) (+.f64 x (log.f64 x))))))) (cbrt.f64 (fma.f64 x x (*.f64 (log.f64 x) (+.f64 x (log.f64 x))))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3)) (fma.f64 x x (*.f64 (log.f64 x) (+.f64 x (log.f64 x)))))
(pow.f64 (-.f64 x (log.f64 x)) 1)
(-.f64 x (log.f64 x))
(pow.f64 (sqrt.f64 (-.f64 x (log.f64 x))) 2)
(-.f64 x (log.f64 x))
(pow.f64 (cbrt.f64 (-.f64 x (log.f64 x))) 3)
(-.f64 x (log.f64 x))
(pow.f64 (pow.f64 (-.f64 x (log.f64 x)) 3) 1/3)
(-.f64 x (log.f64 x))
(sqrt.f64 (pow.f64 (-.f64 x (log.f64 x)) 2))
(fabs.f64 (-.f64 x (log.f64 x)))
(log.f64 (/.f64 (exp.f64 x) x))
(-.f64 x (log.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (log.f64 x)))))
(-.f64 x (log.f64 x))
(cbrt.f64 (pow.f64 (-.f64 x (log.f64 x)) 3))
(-.f64 x (log.f64 x))
(expm1.f64 (log1p.f64 (-.f64 x (log.f64 x))))
(-.f64 x (log.f64 x))
(exp.f64 (log.f64 (-.f64 x (log.f64 x))))
(-.f64 x (log.f64 x))
(log1p.f64 (expm1.f64 (-.f64 x (log.f64 x))))
(-.f64 x (log.f64 x))
(fma.f64 1 x (neg.f64 (log.f64 x)))
(-.f64 x (log.f64 x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (log.f64 x)))
(-.f64 x (log.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (log.f64 x)))
(-.f64 x (log.f64 x))

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(exp.f64 (/.f64 x n))
0.0b
(pow.f64 x (/.f64 1 n))
5.5b
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))
Compiler

Compiled 30 to 14 computations (53.3% saved)

series2.0ms (0%)

Counts
2 → 36
Calls

12 calls:

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

rewrite86.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1166×associate-*r/
1068×*-commutative
840×associate-/r*
762×associate-*l/
670×associate-/l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01140
123340
2308940
Stop Event
node limit
Counts
2 → 122
Calls
Call 1
Inputs
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))
(exp.f64 (/.f64 x n))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 (/.f64 x n)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (/.f64 x n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (/.f64 x n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (/.f64 x n))) (sqrt.f64 (exp.f64 (/.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (/.f64 x n))) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2)) (cbrt.f64 (exp.f64 (/.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (/.f64 x n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (/.f64 x n))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (/.f64 x n))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (/.f64 x n))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 x) (/.f64 1 n))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 x n)) 2)) (cbrt.f64 (/.f64 x n)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (/.f64 x n))) (sqrt.f64 (/.f64 x n)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (/.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (exp.f64 (/.f64 x n)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (/.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (/.f64 x n))))))))

simplify151.0ms (0.8%)

Algorithm
egg-herbie
Rules
1066×associate-+l-
930×associate-+r-
930×associate--r+
802×associate--l+
670×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
039611608
1113511156
2533011156
Stop Event
node limit
Counts
158 → 229
Calls
Call 1
Inputs
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(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))))
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1
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1
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1
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(*.f64 (sqrt.f64 (exp.f64 (/.f64 x n))) (sqrt.f64 (exp.f64 (/.f64 x n))))
(*.f64 (cbrt.f64 (exp.f64 (/.f64 x n))) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2)) (cbrt.f64 (exp.f64 (/.f64 x n))))
(pow.f64 (exp.f64 (/.f64 x n)) 1)
(pow.f64 (sqrt.f64 (exp.f64 (/.f64 x n))) 2)
(pow.f64 (cbrt.f64 (exp.f64 (/.f64 x n))) 3)
(pow.f64 (E.f64) (/.f64 x n))
(pow.f64 (exp.f64 x) (/.f64 1 n))
(pow.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) 1/3)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 x n)) 2)) (cbrt.f64 (/.f64 x n)))
(pow.f64 (exp.f64 (sqrt.f64 (/.f64 x n))) (sqrt.f64 (/.f64 x n)))
(sqrt.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2))
(log.f64 (exp.f64 (exp.f64 (/.f64 x n))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (/.f64 x n)))))
(cbrt.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3))
(expm1.f64 (log1p.f64 (exp.f64 (/.f64 x n))))
(log1p.f64 (expm1.f64 (exp.f64 (/.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 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))))) (exp.f64 (/.f64 (log.f64 x) n)))
(+.f64 (/.f64 x n) (-.f64 (+.f64 1 (/.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 n n))) (exp.f64 (/.f64 (log.f64 x) n))))
(+.f64 (/.f64 x n) (-.f64 (fma.f64 1/2 (*.f64 (/.f64 x n) (/.f64 x n)) 1) (exp.f64 (/.f64 (log.f64 x) n))))
(-.f64 (+.f64 (/.f64 x n) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) (pow.f64 n 3))) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2)))))) (exp.f64 (/.f64 (log.f64 x) n)))
(+.f64 (/.f64 x n) (-.f64 (fma.f64 1/6 (/.f64 (pow.f64 x 3) (pow.f64 n 3)) (+.f64 1 (/.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 n n)))) (exp.f64 (/.f64 (log.f64 x) n))))
(+.f64 (fma.f64 1/6 (/.f64 (pow.f64 x 3) (pow.f64 n 3)) (/.f64 x n)) (-.f64 (fma.f64 1/2 (*.f64 (/.f64 x n) (/.f64 x n)) 1) (exp.f64 (/.f64 (log.f64 x) n))))
(+.f64 (fma.f64 1/2 (*.f64 (/.f64 x n) (/.f64 x n)) 1) (-.f64 (fma.f64 1/6 (/.f64 (pow.f64 x 3) (pow.f64 n 3)) (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n))))
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))))
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))))
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))))
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))))
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))))
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))))
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))))
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))))
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)))
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)))
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)))
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)))
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)))
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)))
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)))
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)))
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))))
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))))
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))))
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (neg.f64 (/.f64 (neg.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 (+.f64 (/.f64 x n) (/.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 n n))) (/.f64 (log.f64 x) n)) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n))))
(-.f64 (fma.f64 1/2 (*.f64 (/.f64 x n) (/.f64 x n)) (/.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 1/6 (/.f64 (pow.f64 x 3) (pow.f64 n 3))) (+.f64 (/.f64 x n) (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))
(-.f64 (fma.f64 1/6 (/.f64 (pow.f64 x 3) (pow.f64 n 3)) (+.f64 (/.f64 x n) (/.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 n n)))) (+.f64 (/.f64 (log.f64 x) n) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))
(fma.f64 1/6 (/.f64 (pow.f64 x 3) (pow.f64 n 3)) (-.f64 (+.f64 (*.f64 (/.f64 1/2 n) (/.f64 (*.f64 x x) n)) (/.f64 (-.f64 x (log.f64 x)) n)) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (/.f64 1/6 (/.f64 (pow.f64 n 3) (pow.f64 (log.f64 x) 3))))))
(fma.f64 1/6 (/.f64 (pow.f64 x 3) (pow.f64 n 3)) (+.f64 (*.f64 (/.f64 1/2 n) (/.f64 (*.f64 x x) n)) (-.f64 (/.f64 (-.f64 x (log.f64 x)) n) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (/.f64 1/6 (/.f64 (pow.f64 n 3) (pow.f64 (log.f64 x) 3)))))))
(-.f64 (+.f64 (*.f64 1/24 (/.f64 (pow.f64 x 4) (pow.f64 n 4))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) (pow.f64 n 3))) (+.f64 (/.f64 x n) (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2)))))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (+.f64 (*.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 (fma.f64 1/24 (/.f64 (pow.f64 x 4) (pow.f64 n 4)) (fma.f64 1/6 (/.f64 (pow.f64 x 3) (pow.f64 n 3)) (+.f64 (/.f64 x n) (/.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 n n))))) (+.f64 (/.f64 (log.f64 x) n) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (fma.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 (fma.f64 1/24 (/.f64 (pow.f64 x 4) (pow.f64 n 4)) (fma.f64 1/6 (/.f64 (pow.f64 x 3) (pow.f64 n 3)) (fma.f64 1/2 (*.f64 (/.f64 x n) (/.f64 x n)) (/.f64 x n)))) (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (/.f64 (log.f64 x) n)) (fma.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)) (/.f64 1/24 (/.f64 (pow.f64 n 4) (pow.f64 (log.f64 x) 4))))))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 (log.f64 x))) n))
(neg.f64 (/.f64 (*.f64 -1 (-.f64 x (log.f64 x))) n))
(/.f64 (*.f64 1 (-.f64 x (log.f64 x))) n)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 (log.f64 x))) n))) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))
(+.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (*.f64 n n)) (neg.f64 (/.f64 (*.f64 -1 (-.f64 x (log.f64 x))) n))) (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n))))
(fma.f64 1/2 (*.f64 (/.f64 x n) (/.f64 x n)) (fma.f64 -1 (/.f64 (fma.f64 x -1 (log.f64 x)) n) (/.f64 (*.f64 -1/2 (pow.f64 (log.f64 x) 2)) (*.f64 n n))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 (log.f64 x))) n)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 -1/6 (pow.f64 (log.f64 x) 3))) (pow.f64 n 3))))) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))
(+.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (*.f64 n n)) (*.f64 -1 (+.f64 (/.f64 (*.f64 -1 (-.f64 x (log.f64 x))) n) (/.f64 (*.f64 -1/6 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3))) (pow.f64 n 3))))) (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n))))
(+.f64 (fma.f64 1/2 (*.f64 (/.f64 x n) (/.f64 x n)) (-.f64 (/.f64 (*.f64 1/6 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3))) (pow.f64 n 3)) (/.f64 (fma.f64 x -1 (log.f64 x)) n))) (/.f64 (*.f64 -1/2 (pow.f64 (log.f64 x) 2)) (*.f64 n n)))
(fma.f64 1/2 (*.f64 (/.f64 x n) (/.f64 x n)) (-.f64 (/.f64 (*.f64 1/6 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3))) (pow.f64 n 3)) (-.f64 (/.f64 (fma.f64 x -1 (log.f64 x)) n) (/.f64 (*.f64 -1/2 (pow.f64 (log.f64 x) 2)) (*.f64 n n)))))
(-.f64 (+.f64 (*.f64 1/24 (/.f64 (pow.f64 x 4) (pow.f64 n 4))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 (log.f64 x))) n)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 -1/6 (pow.f64 (log.f64 x) 3))) (pow.f64 n 3)))))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)))))
(-.f64 (fma.f64 1/24 (/.f64 (pow.f64 x 4) (pow.f64 n 4)) (fma.f64 1/2 (/.f64 (*.f64 x x) (*.f64 n n)) (*.f64 -1 (+.f64 (/.f64 (*.f64 -1 (-.f64 x (log.f64 x))) n) (/.f64 (*.f64 -1/6 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3))) (pow.f64 n 3)))))) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (*.f64 1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)))))
(-.f64 (fma.f64 1/24 (/.f64 (pow.f64 x 4) (pow.f64 n 4)) (fma.f64 1/2 (*.f64 (/.f64 x n) (/.f64 x n)) (-.f64 (/.f64 (*.f64 1/6 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3))) (pow.f64 n 3)) (/.f64 (fma.f64 x -1 (log.f64 x)) n)))) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (/.f64 1/24 (/.f64 (pow.f64 n 4) (pow.f64 (log.f64 x) 4)))))
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 x n) (+.f64 1 (/.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 n n))))
(+.f64 1 (fma.f64 1/2 (*.f64 (/.f64 x n) (/.f64 x n)) (/.f64 x n)))
(+.f64 (/.f64 x n) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) (pow.f64 n 3))) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))))))
(+.f64 (/.f64 x n) (fma.f64 1/6 (/.f64 (pow.f64 x 3) (pow.f64 n 3)) (+.f64 1 (/.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 n n)))))
(+.f64 (fma.f64 1/2 (*.f64 (/.f64 x n) (/.f64 x n)) 1) (fma.f64 1/6 (/.f64 (pow.f64 x 3) (pow.f64 n 3)) (/.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 x n) (+.f64 1 (/.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 n n))))
(+.f64 1 (fma.f64 1/2 (*.f64 (/.f64 x n) (/.f64 x n)) (/.f64 x n)))
(+.f64 (/.f64 x n) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) (pow.f64 n 3))) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))))))
(+.f64 (/.f64 x n) (fma.f64 1/6 (/.f64 (pow.f64 x 3) (pow.f64 n 3)) (+.f64 1 (/.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 n n)))))
(+.f64 (fma.f64 1/2 (*.f64 (/.f64 x n) (/.f64 x n)) 1) (fma.f64 1/6 (/.f64 (pow.f64 x 3) (pow.f64 n 3)) (/.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 x n) (+.f64 1 (/.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 n n))))
(+.f64 1 (fma.f64 1/2 (*.f64 (/.f64 x n) (/.f64 x n)) (/.f64 x n)))
(+.f64 (/.f64 x n) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) (pow.f64 n 3))) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))))))
(+.f64 (/.f64 x n) (fma.f64 1/6 (/.f64 (pow.f64 x 3) (pow.f64 n 3)) (+.f64 1 (/.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 n n)))))
(+.f64 (fma.f64 1/2 (*.f64 (/.f64 x n) (/.f64 x n)) 1) (fma.f64 1/6 (/.f64 (pow.f64 x 3) (pow.f64 n 3)) (/.f64 x n)))
(+.f64 (exp.f64 (/.f64 x n)) (neg.f64 (pow.f64 x (/.f64 1 n))))
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))
(+.f64 (exp.f64 (/.f64 x n)) (+.f64 (neg.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 (fma.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1 (pow.f64 x (/.f64 1 n))) (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))))
(-.f64 (+.f64 (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n)))
(+.f64 (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) (-.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 x (/.f64 1 n))))
(+.f64 (exp.f64 (/.f64 x n)) (+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (fma.f64 (neg.f64 (pow.f64 x (/.f64 1/2 n))) (pow.f64 x (/.f64 1/2 n)) (pow.f64 x (/.f64 1 n)))))
(+.f64 (fma.f64 (neg.f64 (pow.f64 x (/.f64 1/2 n))) (pow.f64 x (/.f64 1/2 n)) (pow.f64 x (/.f64 1 n))) (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))))
(+.f64 (exp.f64 (/.f64 x n)) (+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (cbrt.f64 (pow.f64 x (/.f64 2 n))) (pow.f64 x (/.f64 1 n)))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (cbrt.f64 (pow.f64 x (/.f64 2 n))) (pow.f64 x (/.f64 1 n))) (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))))
(+.f64 (-.f64 (exp.f64 (/.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 (fma.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1 (pow.f64 x (/.f64 1 n))) (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))))
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(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) 3) (pow.f64 (pow.f64 x (/.f64 2 n)) 3)) (+.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))) (+.f64 (pow.f64 (exp.f64 (/.f64 x n)) 4) (*.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (exp.f64 (/.f64 x n)) 2)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 6) (pow.f64 (pow.f64 x (/.f64 2 n)) 3)) (*.f64 (+.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) (+.f64 (pow.f64 (exp.f64 (/.f64 x n)) 4) (fma.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (exp.f64 (/.f64 x n)) 2) (pow.f64 x (/.f64 4 n))))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) (pow.f64 (exp.f64 (/.f64 x n)) 3)) (*.f64 (pow.f64 x (/.f64 3 n)) (pow.f64 x (/.f64 3 n)))) (/.f64 1 (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (exp.f64 (+.f64 (/.f64 x n) (/.f64 (log.f64 x) n))) (pow.f64 (exp.f64 (/.f64 x n)) 2))))) (+.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) (pow.f64 x (/.f64 3 n))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 6) (pow.f64 x (*.f64 2 (/.f64 3 n)))) (*.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (exp.f64 (+.f64 (/.f64 (log.f64 x) n) (/.f64 x n))))) (+.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) (pow.f64 x (/.f64 3 n)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 6) (pow.f64 x (/.f64 6 n))) (*.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (*.f64 (exp.f64 (/.f64 x n)) (+.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n))))) (+.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) (pow.f64 x (/.f64 3 n)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) 3) (pow.f64 (pow.f64 x (/.f64 3 n)) 3)) (/.f64 1 (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (exp.f64 (+.f64 (/.f64 x n) (/.f64 (log.f64 x) n))) (pow.f64 (exp.f64 (/.f64 x n)) 2))))) (+.f64 (*.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) (pow.f64 (exp.f64 (/.f64 x n)) 3)) (+.f64 (*.f64 (pow.f64 x (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) (*.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) (pow.f64 x (/.f64 3 n))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) 3) (pow.f64 (pow.f64 x (/.f64 3 n)) 3)) (*.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (exp.f64 (+.f64 (/.f64 (log.f64 x) n) (/.f64 x n))))) (+.f64 (pow.f64 (exp.f64 (/.f64 x n)) 6) (*.f64 (pow.f64 x (/.f64 3 n)) (+.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) (pow.f64 x (/.f64 3 n)))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) 3) (pow.f64 (pow.f64 x (/.f64 3 n)) 3)) (*.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (*.f64 (exp.f64 (/.f64 x n)) (+.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n))))) (+.f64 (pow.f64 (exp.f64 (/.f64 x n)) 6) (fma.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) (pow.f64 x (/.f64 3 n)) (pow.f64 x (/.f64 6 n))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (pow.f64 x (/.f64 2 n))) 1) (+.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))))
(*.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (pow.f64 x (/.f64 2 n))) (/.f64 1 (+.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (pow.f64 x (/.f64 2 n))) (+.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))))
(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (pow.f64 x (/.f64 2 n))) (sqrt.f64 (+.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))))) (sqrt.f64 (+.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))))
(*.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (pow.f64 x (/.f64 2 n))) (/.f64 1 (+.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (pow.f64 x (/.f64 2 n))) (+.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))))
(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (pow.f64 x (/.f64 2 n))) (*.f64 (cbrt.f64 (+.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))) (cbrt.f64 (+.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))))) (cbrt.f64 (+.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))))
(*.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (pow.f64 x (/.f64 2 n))) (/.f64 1 (+.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (pow.f64 x (/.f64 2 n))) (+.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))))
(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) (pow.f64 x (/.f64 3 n))) 1) (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (exp.f64 (+.f64 (/.f64 x n) (/.f64 (log.f64 x) n))) (pow.f64 (exp.f64 (/.f64 x n)) 2))))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) (pow.f64 x (/.f64 3 n))) 1) (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (exp.f64 (+.f64 (/.f64 (log.f64 x) n) (/.f64 x n))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) (pow.f64 x (/.f64 3 n))) (+.f64 (pow.f64 x (/.f64 2 n)) (*.f64 (exp.f64 (/.f64 x n)) (+.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) (pow.f64 x (/.f64 3 n))) (sqrt.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (exp.f64 (+.f64 (/.f64 x n) (/.f64 (log.f64 x) n))) (pow.f64 (exp.f64 (/.f64 x n)) 2))))) (sqrt.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (exp.f64 (+.f64 (/.f64 x n) (/.f64 (log.f64 x) n))) (pow.f64 (exp.f64 (/.f64 x n)) 2)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) (pow.f64 x (/.f64 3 n))) 1) (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (exp.f64 (+.f64 (/.f64 (log.f64 x) n) (/.f64 x n))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) (pow.f64 x (/.f64 3 n))) (+.f64 (pow.f64 x (/.f64 2 n)) (*.f64 (exp.f64 (/.f64 x n)) (+.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) (pow.f64 x (/.f64 3 n))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (exp.f64 (+.f64 (/.f64 x n) (/.f64 (log.f64 x) n))) (pow.f64 (exp.f64 (/.f64 x n)) 2)))) (cbrt.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (exp.f64 (+.f64 (/.f64 x n) (/.f64 (log.f64 x) n))) (pow.f64 (exp.f64 (/.f64 x n)) 2)))))) (cbrt.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (exp.f64 (+.f64 (/.f64 x n) (/.f64 (log.f64 x) n))) (pow.f64 (exp.f64 (/.f64 x n)) 2)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) (pow.f64 x (/.f64 3 n))) 1) (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (exp.f64 (+.f64 (/.f64 (log.f64 x) n) (/.f64 x n))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) (pow.f64 x (/.f64 3 n))) (+.f64 (pow.f64 x (/.f64 2 n)) (*.f64 (exp.f64 (/.f64 x n)) (+.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n))))))
(pow.f64 (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) 1)
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))
(pow.f64 (sqrt.f64 (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))) 2)
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))
(pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))) 3)
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))
(pow.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) 3) 1/3)
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))
(sqrt.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) 2))
(fabs.f64 (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))))
(log.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))))
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))))))
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))
(cbrt.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) 3))
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))
(expm1.f64 (log1p.f64 (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))))
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))
(exp.f64 (log.f64 (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))))
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))
(log1p.f64 (expm1.f64 (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))))
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))
(fma.f64 1 (exp.f64 (/.f64 x n)) (neg.f64 (pow.f64 x (/.f64 1 n))))
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))
(fma.f64 (sqrt.f64 (exp.f64 (/.f64 x n))) (sqrt.f64 (exp.f64 (/.f64 x n))) (neg.f64 (pow.f64 x (/.f64 1 n))))
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2)) (cbrt.f64 (exp.f64 (/.f64 x n))) (neg.f64 (pow.f64 x (/.f64 1 n))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (/.f64 x n)))) 1)
(exp.f64 (/.f64 x n))
(*.f64 (exp.f64 (/.f64 x n)) 1)
(exp.f64 (/.f64 x n))
(*.f64 1 (exp.f64 (/.f64 x n)))
(exp.f64 (/.f64 x n))
(*.f64 (sqrt.f64 (exp.f64 (/.f64 x n))) (sqrt.f64 (exp.f64 (/.f64 x n))))
(exp.f64 (/.f64 x n))
(*.f64 (cbrt.f64 (exp.f64 (/.f64 x n))) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2)) (cbrt.f64 (exp.f64 (/.f64 x n))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2)) (cbrt.f64 (exp.f64 (/.f64 x n))))
(pow.f64 (exp.f64 (/.f64 x n)) 1)
(exp.f64 (/.f64 x n))
(pow.f64 (sqrt.f64 (exp.f64 (/.f64 x n))) 2)
(exp.f64 (/.f64 x n))
(pow.f64 (cbrt.f64 (exp.f64 (/.f64 x n))) 3)
(exp.f64 (/.f64 x n))
(pow.f64 (E.f64) (/.f64 x n))
(pow.f64 (exp.f64 x) (/.f64 1 n))
(pow.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) 1/3)
(exp.f64 (/.f64 x n))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 x n)) 2)) (cbrt.f64 (/.f64 x n)))
(pow.f64 (exp.f64 (sqrt.f64 (/.f64 x n))) (sqrt.f64 (/.f64 x n)))
(sqrt.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2))
(fabs.f64 (exp.f64 (/.f64 x n)))
(log.f64 (exp.f64 (exp.f64 (/.f64 x n))))
(exp.f64 (/.f64 x n))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (/.f64 x n)))))
(exp.f64 (/.f64 x n))
(cbrt.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3))
(exp.f64 (/.f64 x n))
(expm1.f64 (log1p.f64 (exp.f64 (/.f64 x n))))
(exp.f64 (/.f64 x n))
(log1p.f64 (expm1.f64 (exp.f64 (/.f64 x n))))
(exp.f64 (/.f64 x n))

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(/.f64 n (log.f64 x))
0.3b
(*.f64 (log1p.f64 x) (/.f64 n (log.f64 x)))
9.4b
(-.f64 (*.f64 (log1p.f64 x) (/.f64 n (log.f64 x))) n)
18.3b
(/.f64 (-.f64 (*.f64 (log1p.f64 x) (/.f64 n (log.f64 x))) n) (*.f64 n (/.f64 n (log.f64 x))))
Compiler

Compiled 50 to 9 computations (82% saved)

series10.0ms (0.1%)

Counts
4 → 80
Calls

24 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(*.f64 (log1p.f64 x) (/.f64 n (log.f64 x)))
1.0ms
n
@0
(/.f64 (-.f64 (*.f64 (log1p.f64 x) (/.f64 n (log.f64 x))) n) (*.f64 n (/.f64 n (log.f64 x))))
1.0ms
n
@inf
(/.f64 (-.f64 (*.f64 (log1p.f64 x) (/.f64 n (log.f64 x))) n) (*.f64 n (/.f64 n (log.f64 x))))
1.0ms
n
@-inf
(/.f64 (-.f64 (*.f64 (log1p.f64 x) (/.f64 n (log.f64 x))) n) (*.f64 n (/.f64 n (log.f64 x))))
1.0ms
x
@-inf
(/.f64 (-.f64 (*.f64 (log1p.f64 x) (/.f64 n (log.f64 x))) n) (*.f64 n (/.f64 n (log.f64 x))))

rewrite104.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1578×associate-/r/
1344×associate-/l/
696×distribute-lft-in
278×add-sqr-sqrt
276×*-un-lft-identity
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
012108
1264108
23992108
Stop Event
node limit
Counts
4 → 238
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 (log1p.f64 x) (/.f64 n (log.f64 x))) n) (*.f64 n (/.f64 n (log.f64 x))))
(-.f64 (*.f64 (log1p.f64 x) (/.f64 n (log.f64 x))) n)
(*.f64 (log1p.f64 x) (/.f64 n (log.f64 x)))
(/.f64 n (log.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) n) (/.f64 (log.f64 x) (*.f64 n n))) (*.f64 (/.f64 (log.f64 x) (*.f64 n n)) (fma.f64 (neg.f64 n) 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) n) (/.f64 (log.f64 x) (*.f64 n n))) (*.f64 (/.f64 (log.f64 x) (*.f64 n n)) (fma.f64 (neg.f64 (sqrt.f64 n)) (sqrt.f64 n) n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) n) (/.f64 (log.f64 x) (*.f64 n n))) (*.f64 (/.f64 (log.f64 x) (*.f64 n n)) (fma.f64 (neg.f64 (cbrt.f64 n)) (pow.f64 (cbrt.f64 n) 2) n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) (/.f64 (log.f64 x) (*.f64 n n))) (neg.f64 (*.f64 (/.f64 n (*.f64 n n)) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) (/.f64 (log.f64 x) (*.f64 n 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simplify158.0ms (0.8%)

Algorithm
egg-herbie
Rules
1172×associate-*r*
1124×associate-*l*
1120×associate-/l*
836×associate-/r*
826×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
069017468
1205016044
Stop Event
node limit
Counts
318 → 468
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 (*.f64 (-.f64 (/.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 1) (log.f64 x)) n)
(/.f64 (*.f64 (-.f64 (/.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 1) (log.f64 x)) n)
(/.f64 (*.f64 (-.f64 (/.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 1) (log.f64 x)) n)
(/.f64 (*.f64 (-.f64 (/.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 1) (log.f64 x)) n)
(/.f64 (*.f64 (-.f64 (/.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 1) (log.f64 x)) n)
(/.f64 (*.f64 (-.f64 (/.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 1) (log.f64 x)) n)
(/.f64 (*.f64 (-.f64 (/.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 1) (log.f64 x)) n)
(/.f64 (*.f64 (-.f64 (/.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 1) (log.f64 x)) n)
(*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) 1) (log.f64 x)) n))
(*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) 1) (log.f64 x)) n))
(*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) 1) (log.f64 x)) n))
(*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) 1) (log.f64 x)) n))
(*.f64 -1 n)
(+.f64 (*.f64 -1 n) (/.f64 (*.f64 n x) (log.f64 x)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 n (pow.f64 x 2)) (log.f64 x))) (+.f64 (*.f64 -1 n) (/.f64 (*.f64 n x) (log.f64 x))))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 n (pow.f64 x 3)) (log.f64 x))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 n (pow.f64 x 2)) (log.f64 x))) (+.f64 (*.f64 -1 n) (/.f64 (*.f64 n x) (log.f64 x)))))
(*.f64 -1 (/.f64 n (*.f64 (log.f64 (/.f64 1 x)) x)))
(+.f64 (*.f64 1/2 (/.f64 n (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (*.f64 -1 (/.f64 n (*.f64 (log.f64 (/.f64 1 x)) x))))
(+.f64 (*.f64 1/2 (/.f64 n (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1 (/.f64 n (*.f64 (log.f64 (/.f64 1 x)) x))) (*.f64 -1/3 (/.f64 n (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 3))))))
(+.f64 (*.f64 1/2 (/.f64 n (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1 (/.f64 n (*.f64 (log.f64 (/.f64 1 x)) x))) (+.f64 (*.f64 1/4 (/.f64 n (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 4)))) (*.f64 -1/3 (/.f64 n (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 3)))))))
(/.f64 n (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))
(+.f64 (*.f64 -1/2 (/.f64 n (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 x 2)))) (/.f64 n (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)))
(+.f64 (*.f64 1/3 (/.f64 n (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 x 3)))) (+.f64 (*.f64 -1/2 (/.f64 n (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 x 2)))) (/.f64 n (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))))
(+.f64 (*.f64 1/3 (/.f64 n (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 x 3)))) (+.f64 (*.f64 -1/2 (/.f64 n (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 x 2)))) (+.f64 (/.f64 n (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)) (*.f64 -1/4 (/.f64 n (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 x 4)))))))
(*.f64 n (-.f64 (/.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 1))
(*.f64 n (-.f64 (/.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 1))
(*.f64 n (-.f64 (/.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 1))
(*.f64 n (-.f64 (/.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 1))
(*.f64 n (-.f64 (/.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 1))
(*.f64 n (-.f64 (/.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 1))
(*.f64 n (-.f64 (/.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 1))
(*.f64 n (-.f64 (/.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 1))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) 1) n))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) 1) n))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) 1) n))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) 1) n))
(/.f64 (*.f64 n x) (log.f64 x))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 n (pow.f64 x 2)) (log.f64 x))) (/.f64 (*.f64 n x) (log.f64 x)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 n (pow.f64 x 2)) (log.f64 x))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 n (pow.f64 x 3)) (log.f64 x))) (/.f64 (*.f64 n x) (log.f64 x))))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 n (pow.f64 x 4)) (log.f64 x))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 n (pow.f64 x 2)) (log.f64 x))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 n (pow.f64 x 3)) (log.f64 x))) (/.f64 (*.f64 n x) (log.f64 x)))))
n
(+.f64 n (*.f64 -1 (/.f64 n (*.f64 (log.f64 (/.f64 1 x)) x))))
(+.f64 n (+.f64 (*.f64 1/2 (/.f64 n (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (*.f64 -1 (/.f64 n (*.f64 (log.f64 (/.f64 1 x)) x)))))
(+.f64 n (+.f64 (*.f64 1/2 (/.f64 n (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1 (/.f64 n (*.f64 (log.f64 (/.f64 1 x)) x))) (*.f64 -1/3 (/.f64 n (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 3)))))))
n
(+.f64 n (/.f64 n (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)))
(+.f64 n (+.f64 (*.f64 -1/2 (/.f64 n (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 x 2)))) (/.f64 n (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))))
(+.f64 (*.f64 1/3 (/.f64 n (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 x 3)))) (+.f64 n (+.f64 (*.f64 -1/2 (/.f64 n (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 x 2)))) (/.f64 n (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)))))
(/.f64 (*.f64 n (log.f64 (+.f64 1 x))) (log.f64 x))
(/.f64 (*.f64 n (log.f64 (+.f64 1 x))) (log.f64 x))
(/.f64 (*.f64 n (log.f64 (+.f64 1 x))) (log.f64 x))
(/.f64 (*.f64 n (log.f64 (+.f64 1 x))) (log.f64 x))
(/.f64 (*.f64 n (log.f64 (+.f64 1 x))) (log.f64 x))
(/.f64 (*.f64 n (log.f64 (+.f64 1 x))) (log.f64 x))
(/.f64 (*.f64 n (log.f64 (+.f64 1 x))) (log.f64 x))
(/.f64 (*.f64 n (log.f64 (+.f64 1 x))) (log.f64 x))
(/.f64 (*.f64 n (log.f64 (+.f64 1 x))) (log.f64 x))
(/.f64 (*.f64 n (log.f64 (+.f64 1 x))) (log.f64 x))
(/.f64 (*.f64 n (log.f64 (+.f64 1 x))) (log.f64 x))
(/.f64 (*.f64 n (log.f64 (+.f64 1 x))) (log.f64 x))
(*.f64 -1 (/.f64 n (log.f64 (/.f64 1 x))))
(*.f64 -1 (/.f64 n (log.f64 (/.f64 1 x))))
(*.f64 -1 (/.f64 n (log.f64 (/.f64 1 x))))
(*.f64 -1 (/.f64 n (log.f64 (/.f64 1 x))))
(/.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(/.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(/.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(/.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(+.f64 (*.f64 (-.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) n) (/.f64 (log.f64 x) (*.f64 n n))) (*.f64 (/.f64 (log.f64 x) (*.f64 n n)) (fma.f64 (neg.f64 n) 1 n)))
(+.f64 (*.f64 (-.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) n) (/.f64 (log.f64 x) (*.f64 n n))) (*.f64 (/.f64 (log.f64 x) (*.f64 n n)) (fma.f64 (neg.f64 (sqrt.f64 n)) (sqrt.f64 n) n)))
(+.f64 (*.f64 (-.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) n) (/.f64 (log.f64 x) (*.f64 n n))) (*.f64 (/.f64 (log.f64 x) (*.f64 n n)) (fma.f64 (neg.f64 (cbrt.f64 n)) (pow.f64 (cbrt.f64 n) 2) n)))
(+.f64 (*.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) (/.f64 (log.f64 x) (*.f64 n n))) (neg.f64 (*.f64 (/.f64 n (*.f64 n n)) (log.f64 x))))
(+.f64 (*.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) (/.f64 (log.f64 x) (*.f64 n n))) (*.f64 1 (neg.f64 (*.f64 (/.f64 n (*.f64 n n)) (log.f64 x)))))
(+.f64 (*.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) (/.f64 (log.f64 x) (*.f64 n n))) (*.f64 (/.f64 (log.f64 x) (*.f64 n n)) (neg.f64 n)))
(+.f64 (*.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) (/.f64 (log.f64 x) (*.f64 n n))) (*.f64 (/.f64 (log.f64 x) (*.f64 n n)) (*.f64 (neg.f64 n) 1)))
(+.f64 (neg.f64 (*.f64 (/.f64 n (*.f64 n n)) (log.f64 x))) (*.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) (/.f64 (log.f64 x) (*.f64 n n))))
(+.f64 (*.f64 (/.f64 (log.f64 x) (*.f64 n n)) (neg.f64 n)) (*.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) (/.f64 (log.f64 x) (*.f64 n n))))
(+.f64 (*.f64 (/.f64 (-.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) n) (*.f64 n n)) (log.f64 (pow.f64 (cbrt.f64 x) 2))) (*.f64 (/.f64 (-.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) n) (*.f64 n n)) (log.f64 (cbrt.f64 x))))
(+.f64 (*.f64 (/.f64 (-.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) n) (*.f64 n n)) (log.f64 (sqrt.f64 x))) (*.f64 (/.f64 (-.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) n) (*.f64 n n)) (log.f64 (sqrt.f64 x))))
(+.f64 (*.f64 (/.f64 (-.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) n) (*.f64 n n)) 0) (*.f64 (-.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) n) (/.f64 (log.f64 x) (*.f64 n n))))
(-.f64 (*.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) (/.f64 (log.f64 x) (*.f64 n n))) (*.f64 (/.f64 n (*.f64 n n)) (log.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) n) (/.f64 (log.f64 x) (*.f64 n n))))) 1)
(*.f64 (-.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) n) (/.f64 (log.f64 x) (*.f64 n n)))
(*.f64 (*.f64 (-.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) n) (/.f64 (log.f64 x) (*.f64 n n))) 1)
(*.f64 1 (*.f64 (-.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) n) (/.f64 (log.f64 x) (*.f64 n n))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) n)) n) (sqrt.f64 (log.f64 x))) (*.f64 (/.f64 (sqrt.f64 (-.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) n)) n) (sqrt.f64 (log.f64 x))))
(*.f64 (sqrt.f64 (-.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) n)) (*.f64 (sqrt.f64 (-.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) n)) (/.f64 (log.f64 x) (*.f64 n n))))
(*.f64 (cbrt.f64 (*.f64 (-.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) n) (/.f64 (log.f64 x) (*.f64 n n)))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) n) (/.f64 (log.f64 x) (*.f64 n n)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) n) (/.f64 (log.f64 x) (*.f64 n n)))) 2) (cbrt.f64 (*.f64 (-.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) n) (/.f64 (log.f64 x) (*.f64 n n)))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) n)) 2) (*.f64 (cbrt.f64 (-.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) n)) (/.f64 (log.f64 x) (*.f64 n n))))
(*.f64 (/.f64 (-.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) n) n) (/.f64 (log.f64 x) n))
(*.f64 (/.f64 (log.f64 x) n) (/.f64 (-.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) n) n))
(*.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) n)) (*.f64 (/.f64 1 (neg.f64 (*.f64 n n))) (log.f64 x)))
(*.f64 (/.f64 1 n) (*.f64 (-.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) n) (/.f64 (log.f64 x) n)))
(*.f64 (*.f64 (/.f64 1 n) (sqrt.f64 (log.f64 x))) (*.f64 (/.f64 (-.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) n) n) (sqrt.f64 (log.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (*.f64 n n) (log.f64 x))) 2)) (/.f64 (-.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) n) (cbrt.f64 (/.f64 (*.f64 n n) (log.f64 x)))))
(*.f64 (/.f64 (-.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) n) (*.f64 n n)) (log.f64 x))
(*.f64 (/.f64 1 (*.f64 n n)) (*.f64 (-.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) n) (log.f64 x)))
(*.f64 (/.f64 (-.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) n) (*.f64 (neg.f64 n) n)) (neg.f64 (log.f64 x)))
(*.f64 (*.f64 (/.f64 1 (neg.f64 (*.f64 n n))) (log.f64 x)) (neg.f64 (-.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) n)))
(*.f64 (/.f64 (log.f64 x) (*.f64 n n)) (-.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) n))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) n)) n) (*.f64 (/.f64 (sqrt.f64 (-.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) n)) n) (log.f64 x)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) n)) n) (log.f64 x)) (/.f64 (sqrt.f64 (-.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) n)) n))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) n)) 1) (*.f64 (/.f64 (sqrt.f64 (-.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) n)) n) (/.f64 (log.f64 x) n)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) n)) n) (/.f64 (log.f64 x) n)) (sqrt.f64 (-.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) n)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) n)) (pow.f64 (cbrt.f64 (/.f64 (*.f64 n n) (log.f64 x))) 2)) (/.f64 (sqrt.f64 (-.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) n)) (cbrt.f64 (/.f64 (*.f64 n n) (log.f64 x)))))
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(*.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) n)) 2) (cbrt.f64 (-.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) n)))
(*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) 2) (*.f64 n n)) (/.f64 1 (fma.f64 (log1p.f64 x) (/.f64 n (log.f64 x)) n)))
(*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) 3) (pow.f64 n 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) 2) (*.f64 n (fma.f64 (log1p.f64 x) (/.f64 n (log.f64 x)) n)))))
(*.f64 (+.f64 (sqrt.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x))) (sqrt.f64 n)) (-.f64 (sqrt.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x))) (sqrt.f64 n)))
(*.f64 (/.f64 1 (fma.f64 (log1p.f64 x) (/.f64 n (log.f64 x)) n)) (-.f64 (pow.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) 2) (*.f64 n n)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) 2) (*.f64 n (fma.f64 (log1p.f64 x) (/.f64 n (log.f64 x)) n)))) (-.f64 (pow.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) 3) (pow.f64 n 3)))
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) 2) (*.f64 n n)) (-.f64 (pow.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) 2) (*.f64 n n))) (-.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) n))
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) 2) (*.f64 n n)) (+.f64 (pow.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) 3) (pow.f64 n 3))) (+.f64 (pow.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) 2) (-.f64 (*.f64 n n) (*.f64 (log1p.f64 x) (/.f64 (*.f64 n n) (log.f64 x))))))
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) 3) (pow.f64 n 3)) (-.f64 (*.f64 (pow.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) 2) (pow.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) 2)) (*.f64 (*.f64 n (fma.f64 (log1p.f64 x) (/.f64 n (log.f64 x)) n)) (*.f64 n (fma.f64 (log1p.f64 x) (/.f64 n (log.f64 x)) n))))) (-.f64 (pow.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) 2) (*.f64 n (fma.f64 (log1p.f64 x) (/.f64 n (log.f64 x)) n))))
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) 3) (pow.f64 n 3)) (+.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) 2) 3) (pow.f64 (*.f64 n (fma.f64 (log1p.f64 x) (/.f64 n (log.f64 x)) n)) 3))) (-.f64 (+.f64 (*.f64 (pow.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) 2) (pow.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) 2)) (*.f64 (*.f64 n (fma.f64 (log1p.f64 x) (/.f64 n (log.f64 x)) n)) (*.f64 n (fma.f64 (log1p.f64 x) (/.f64 n (log.f64 x)) n)))) (*.f64 (pow.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) 2) (*.f64 n (fma.f64 (log1p.f64 x) (/.f64 n (log.f64 x)) n)))))
(/.f64 (-.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) n) 1)
(/.f64 1 (/.f64 1 (-.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) n)))
(/.f64 1 (/.f64 (fma.f64 (log1p.f64 x) (/.f64 n (log.f64 x)) n) (-.f64 (pow.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) 2) (*.f64 n n))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) 2) (*.f64 n (fma.f64 (log1p.f64 x) (/.f64 n (log.f64 x)) n))) (-.f64 (pow.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) 3) (pow.f64 n 3))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) 2) (*.f64 n n)) (fma.f64 (log1p.f64 x) (/.f64 n (log.f64 x)) n))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) 3) (pow.f64 n 3)) (+.f64 (pow.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) 2) (*.f64 n (fma.f64 (log1p.f64 x) (/.f64 n (log.f64 x)) n))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) 2) (*.f64 n n))) (neg.f64 (fma.f64 (log1p.f64 x) (/.f64 n (log.f64 x)) n)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) 2) (*.f64 n n))) (*.f64 1 (neg.f64 (fma.f64 (log1p.f64 x) (/.f64 n (log.f64 x)) n))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) 3) (pow.f64 n 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) 2) (*.f64 n (fma.f64 (log1p.f64 x) (/.f64 n (log.f64 x)) n)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) 3) (pow.f64 n 3))) (*.f64 1 (neg.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) 2) (*.f64 n (fma.f64 (log1p.f64 x) (/.f64 n (log.f64 x)) n))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) 2) (*.f64 (neg.f64 n) (neg.f64 n))) (-.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) (neg.f64 n)))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) 2) (*.f64 (neg.f64 n) (neg.f64 n))) (*.f64 1 (-.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) (neg.f64 n))))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) 2) (pow.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) 2)) (*.f64 (*.f64 n n) (*.f64 n n))) (*.f64 (fma.f64 (log1p.f64 x) (/.f64 n (log.f64 x)) n) (+.f64 (pow.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) 2) (*.f64 n n))))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) 3) (pow.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) 3)) (*.f64 (pow.f64 n 3) (pow.f64 n 3))) (*.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) 2) (*.f64 n (fma.f64 (log1p.f64 x) (/.f64 n (log.f64 x)) n))) (+.f64 (pow.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) 3) (pow.f64 n 3))))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) 3) (pow.f64 (neg.f64 n) 3)) (-.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) 2) (*.f64 (neg.f64 n) (neg.f64 n))) (*.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) (neg.f64 n))))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) 3) (pow.f64 (neg.f64 n) 3)) (*.f64 1 (-.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) 2) (*.f64 (neg.f64 n) (neg.f64 n))) (*.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) (neg.f64 n)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) 2) 3) (pow.f64 (*.f64 n n) 3)) (*.f64 (fma.f64 (log1p.f64 x) (/.f64 n (log.f64 x)) n) (+.f64 (+.f64 (*.f64 (pow.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) 2) (pow.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) 2)) (*.f64 (*.f64 n n) (*.f64 n n))) (*.f64 (pow.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) 2) (*.f64 n n)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) 3) 3) (pow.f64 (pow.f64 n 3) 3)) (*.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) 2) (*.f64 n (fma.f64 (log1p.f64 x) (/.f64 n (log.f64 x)) n))) (+.f64 (*.f64 (pow.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) 3) (pow.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) 3)) (+.f64 (*.f64 (pow.f64 n 3) (pow.f64 n 3)) (*.f64 (pow.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) 3) (pow.f64 n 3))))))
(pow.f64 (-.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) n) 1)
(pow.f64 (sqrt.f64 (-.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) n)) 2)
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) n)) 3)
(pow.f64 (pow.f64 (-.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) n) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) n) 2))
(log.f64 (exp.f64 (-.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) n)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) n))))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) n) 3))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) n)))
(exp.f64 (log.f64 (-.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) n)))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) n)) 1))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) n)))
(fma.f64 (log1p.f64 x) (/.f64 n (log.f64 x)) (neg.f64 n))
(fma.f64 (/.f64 n (log.f64 x)) (log1p.f64 x) (neg.f64 n))
(fma.f64 1 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) (neg.f64 n))
(fma.f64 (sqrt.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x))) (sqrt.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x))) (neg.f64 n))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x))) 2) (cbrt.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x))) (neg.f64 n))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)))) 1)
(/.f64 (log1p.f64 x) (/.f64 (log.f64 x) n))
(/.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) 1)
(/.f64 1 (/.f64 (log.f64 x) (*.f64 (log1p.f64 x) n)))
(/.f64 1 (*.f64 1 (/.f64 (log.f64 x) (*.f64 (log1p.f64 x) n))))
(/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x))
(/.f64 (*.f64 (log1p.f64 x) (neg.f64 n)) (neg.f64 (log.f64 x)))
(/.f64 (*.f64 (neg.f64 n) (log1p.f64 x)) (neg.f64 (log.f64 x)))
(/.f64 (/.f64 (*.f64 (log1p.f64 x) n) 1) (log.f64 x))
(/.f64 (/.f64 (*.f64 (log1p.f64 x) n) (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
(/.f64 (/.f64 (*.f64 (log1p.f64 x) n) (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))
(/.f64 (neg.f64 (*.f64 (log1p.f64 x) n)) (neg.f64 (log.f64 x)))
(pow.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) 2))
(log.f64 (pow.f64 (+.f64 x 1) (/.f64 n (log.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x))))
(exp.f64 (log.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 n (log.f64 x)))) 1)
(*.f64 n (/.f64 1 (log.f64 x)))
(*.f64 (/.f64 n (log.f64 x)) 1)
(*.f64 1 (/.f64 n (log.f64 x)))
(*.f64 (sqrt.f64 (/.f64 n (log.f64 x))) (sqrt.f64 (/.f64 n (log.f64 x))))
(*.f64 (sqrt.f64 n) (*.f64 (sqrt.f64 n) (/.f64 1 (log.f64 x))))
(*.f64 (cbrt.f64 (/.f64 n (log.f64 x))) (pow.f64 (cbrt.f64 (/.f64 n (log.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 n (log.f64 x))) 2) (cbrt.f64 (/.f64 n (log.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 n) 2) (*.f64 (cbrt.f64 n) (/.f64 1 (log.f64 x))))
(*.f64 (neg.f64 n) (/.f64 1 (neg.f64 (log.f64 x))))
(*.f64 (/.f64 1 (log.f64 x)) n)
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 x))) (/.f64 n (sqrt.f64 (log.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (/.f64 n (cbrt.f64 (log.f64 x))))
(*.f64 (/.f64 1 (neg.f64 (log.f64 x))) (neg.f64 n))
(*.f64 (/.f64 (sqrt.f64 n) 1) (/.f64 (sqrt.f64 n) (log.f64 x)))
(*.f64 (/.f64 (sqrt.f64 n) (log.f64 x)) (sqrt.f64 n))
(*.f64 (/.f64 (sqrt.f64 n) (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (/.f64 (sqrt.f64 n) (cbrt.f64 (log.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 n) 2) 1) (/.f64 (cbrt.f64 n) (log.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 n) 2) (sqrt.f64 (log.f64 x))) (/.f64 (cbrt.f64 n) (sqrt.f64 (log.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 n) 2) (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (/.f64 n (log.f64 x))))
(*.f64 (/.f64 1 (/.f64 (log.f64 x) (sqrt.f64 n))) (sqrt.f64 n))
(*.f64 (/.f64 1 (/.f64 (log.f64 x) (pow.f64 (cbrt.f64 n) 2))) (cbrt.f64 n))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 n) 2) (log.f64 x)) (cbrt.f64 n))
(pow.f64 (/.f64 n (log.f64 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 n (log.f64 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 n (log.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 n (log.f64 x)) 3) 1/3)
(pow.f64 (/.f64 (log.f64 x) n) -1)
(neg.f64 (/.f64 n (neg.f64 (log.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 n (log.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 n (log.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 n (log.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 n (log.f64 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 n 3) (pow.f64 (log.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 n (log.f64 x))))
(exp.f64 (log.f64 (/.f64 n (log.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 n (log.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 n (log.f64 x))))
Outputs
(*.f64 -1 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(+.f64 (/.f64 x n) (*.f64 -1 (/.f64 (log.f64 x) n)))
(+.f64 (/.f64 (neg.f64 (log.f64 x)) n) (/.f64 x n))
(+.f64 (/.f64 x n) (+.f64 (*.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 (/.f64 (log.f64 x) n) (/.f64 (*.f64 (*.f64 -1/2 x) x) n)))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) n)) (+.f64 (/.f64 x n) (+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n)))))
(fma.f64 1/3 (/.f64 (pow.f64 x 3) n) (+.f64 (/.f64 x n) (fma.f64 -1 (/.f64 (log.f64 x) n) (*.f64 -1/2 (/.f64 (*.f64 x x) n)))))
(fma.f64 1/3 (/.f64 (pow.f64 x 3) n) (+.f64 (/.f64 x n) (fma.f64 -1 (/.f64 (log.f64 x) n) (/.f64 (*.f64 (*.f64 -1/2 x) 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 n (*.f64 x x))))
(-.f64 (/.f64 (/.f64 1 x) n) (/.f64 (/.f64 1/2 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)))))
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(pow.f64 (sqrt.f64 (*.f64 (log1p.f64 x) (/.f64 n (log.f64 x)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x))) 3)
(/.f64 n (/.f64 (log.f64 x) (log1p.f64 x)))
(*.f64 (log1p.f64 x) (/.f64 n (log.f64 x)))
(pow.f64 (pow.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) 3) 1/3)
(/.f64 n (/.f64 (log.f64 x) (log1p.f64 x)))
(*.f64 (log1p.f64 x) (/.f64 n (log.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) 2))
(sqrt.f64 (pow.f64 (/.f64 n (/.f64 (log.f64 x) (log1p.f64 x))) 2))
(sqrt.f64 (pow.f64 (*.f64 (log1p.f64 x) (/.f64 n (log.f64 x))) 2))
(log.f64 (pow.f64 (+.f64 x 1) (/.f64 n (log.f64 x))))
(/.f64 n (/.f64 (log.f64 x) (log1p.f64 x)))
(*.f64 (log1p.f64 x) (/.f64 n (log.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)))))
(/.f64 n (/.f64 (log.f64 x) (log1p.f64 x)))
(*.f64 (log1p.f64 x) (/.f64 n (log.f64 x)))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) 3))
(/.f64 n (/.f64 (log.f64 x) (log1p.f64 x)))
(*.f64 (log1p.f64 x) (/.f64 n (log.f64 x)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x))))
(/.f64 n (/.f64 (log.f64 x) (log1p.f64 x)))
(*.f64 (log1p.f64 x) (/.f64 n (log.f64 x)))
(exp.f64 (log.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x))))
(/.f64 n (/.f64 (log.f64 x) (log1p.f64 x)))
(*.f64 (log1p.f64 x) (/.f64 n (log.f64 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x))) 1))
(/.f64 n (/.f64 (log.f64 x) (log1p.f64 x)))
(*.f64 (log1p.f64 x) (/.f64 n (log.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x))))
(/.f64 n (/.f64 (log.f64 x) (log1p.f64 x)))
(*.f64 (log1p.f64 x) (/.f64 n (log.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 n (log.f64 x)))) 1)
(/.f64 n (log.f64 x))
(*.f64 n (/.f64 1 (log.f64 x)))
(/.f64 n (log.f64 x))
(*.f64 (/.f64 n (log.f64 x)) 1)
(/.f64 n (log.f64 x))
(*.f64 1 (/.f64 n (log.f64 x)))
(/.f64 n (log.f64 x))
(*.f64 (sqrt.f64 (/.f64 n (log.f64 x))) (sqrt.f64 (/.f64 n (log.f64 x))))
(/.f64 n (log.f64 x))
(*.f64 (sqrt.f64 n) (*.f64 (sqrt.f64 n) (/.f64 1 (log.f64 x))))
(*.f64 (sqrt.f64 n) (/.f64 1 (/.f64 (log.f64 x) (sqrt.f64 n))))
(*.f64 (sqrt.f64 n) (/.f64 (sqrt.f64 n) (log.f64 x)))
(*.f64 (cbrt.f64 (/.f64 n (log.f64 x))) (pow.f64 (cbrt.f64 (/.f64 n (log.f64 x))) 2))
(/.f64 n (log.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 n (log.f64 x))) 2) (cbrt.f64 (/.f64 n (log.f64 x))))
(/.f64 n (log.f64 x))
(*.f64 (pow.f64 (cbrt.f64 n) 2) (*.f64 (cbrt.f64 n) (/.f64 1 (log.f64 x))))
(*.f64 (cbrt.f64 n) (/.f64 (pow.f64 (cbrt.f64 n) 2) (log.f64 x)))
(*.f64 (neg.f64 n) (/.f64 1 (neg.f64 (log.f64 x))))
(/.f64 (neg.f64 n) (neg.f64 (log.f64 x)))
(*.f64 (/.f64 1 (log.f64 x)) n)
(/.f64 n (log.f64 x))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 x))) (/.f64 n (sqrt.f64 (log.f64 x))))
(/.f64 (*.f64 1 (/.f64 n (sqrt.f64 (log.f64 x)))) (sqrt.f64 (log.f64 x)))
(/.f64 (/.f64 n (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (/.f64 n (cbrt.f64 (log.f64 x))))
(/.f64 (*.f64 1 (/.f64 n (cbrt.f64 (log.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 x)) 2))
(/.f64 (/.f64 n (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))
(*.f64 (/.f64 1 (neg.f64 (log.f64 x))) (neg.f64 n))
(/.f64 (neg.f64 n) (neg.f64 (log.f64 x)))
(*.f64 (/.f64 (sqrt.f64 n) 1) (/.f64 (sqrt.f64 n) (log.f64 x)))
(*.f64 (sqrt.f64 n) (/.f64 1 (/.f64 (log.f64 x) (sqrt.f64 n))))
(*.f64 (sqrt.f64 n) (/.f64 (sqrt.f64 n) (log.f64 x)))
(*.f64 (/.f64 (sqrt.f64 n) (log.f64 x)) (sqrt.f64 n))
(*.f64 (sqrt.f64 n) (/.f64 1 (/.f64 (log.f64 x) (sqrt.f64 n))))
(*.f64 (sqrt.f64 n) (/.f64 (sqrt.f64 n) (log.f64 x)))
(*.f64 (/.f64 (sqrt.f64 n) (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (/.f64 (sqrt.f64 n) (cbrt.f64 (log.f64 x))))
(/.f64 (*.f64 (sqrt.f64 n) (/.f64 (sqrt.f64 n) (cbrt.f64 (log.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 x)) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 n) 2) 1) (/.f64 (cbrt.f64 n) (log.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 n) 2) (*.f64 (cbrt.f64 n) (/.f64 1 (log.f64 x))))
(*.f64 (cbrt.f64 n) (/.f64 (pow.f64 (cbrt.f64 n) 2) (log.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 n) 2) (sqrt.f64 (log.f64 x))) (/.f64 (cbrt.f64 n) (sqrt.f64 (log.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 n) 2) (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (/.f64 n (log.f64 x))))
(*.f64 (cbrt.f64 (/.f64 n (log.f64 x))) (/.f64 (pow.f64 (cbrt.f64 n) 2) (pow.f64 (cbrt.f64 (log.f64 x)) 2)))
(/.f64 (pow.f64 (cbrt.f64 n) 2) (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (/.f64 n (log.f64 x)))))
(*.f64 (/.f64 1 (/.f64 (log.f64 x) (sqrt.f64 n))) (sqrt.f64 n))
(*.f64 (sqrt.f64 n) (/.f64 1 (/.f64 (log.f64 x) (sqrt.f64 n))))
(*.f64 (sqrt.f64 n) (/.f64 (sqrt.f64 n) (log.f64 x)))
(*.f64 (/.f64 1 (/.f64 (log.f64 x) (pow.f64 (cbrt.f64 n) 2))) (cbrt.f64 n))
(*.f64 (pow.f64 (cbrt.f64 n) 2) (*.f64 (cbrt.f64 n) (/.f64 1 (log.f64 x))))
(*.f64 (cbrt.f64 n) (/.f64 (pow.f64 (cbrt.f64 n) 2) (log.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 n) 2) (log.f64 x)) (cbrt.f64 n))
(*.f64 (pow.f64 (cbrt.f64 n) 2) (*.f64 (cbrt.f64 n) (/.f64 1 (log.f64 x))))
(*.f64 (cbrt.f64 n) (/.f64 (pow.f64 (cbrt.f64 n) 2) (log.f64 x)))
(pow.f64 (/.f64 n (log.f64 x)) 1)
(/.f64 n (log.f64 x))
(pow.f64 (sqrt.f64 (/.f64 n (log.f64 x))) 2)
(/.f64 n (log.f64 x))
(pow.f64 (cbrt.f64 (/.f64 n (log.f64 x))) 3)
(/.f64 n (log.f64 x))
(pow.f64 (pow.f64 (/.f64 n (log.f64 x)) 3) 1/3)
(/.f64 n (log.f64 x))
(pow.f64 (/.f64 (log.f64 x) n) -1)
(/.f64 n (log.f64 x))
(neg.f64 (/.f64 n (neg.f64 (log.f64 x))))
(/.f64 (neg.f64 n) (neg.f64 (log.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 n (log.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 n (log.f64 x))))
(/.f64 n (log.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 n (log.f64 x)))))
(/.f64 n (log.f64 x))
(cbrt.f64 (pow.f64 (/.f64 n (log.f64 x)) 3))
(/.f64 n (log.f64 x))
(cbrt.f64 (/.f64 (pow.f64 n 3) (pow.f64 (log.f64 x) 3)))
(/.f64 n (log.f64 x))
(expm1.f64 (log1p.f64 (/.f64 n (log.f64 x))))
(/.f64 n (log.f64 x))
(exp.f64 (log.f64 (/.f64 n (log.f64 x))))
(/.f64 n (log.f64 x))
(exp.f64 (*.f64 (log.f64 (/.f64 n (log.f64 x))) 1))
(/.f64 n (log.f64 x))
(log1p.f64 (expm1.f64 (/.f64 n (log.f64 x))))
(/.f64 n (log.f64 x))

eval341.0ms (1.8%)

Compiler

Compiled 29694 to 11016 computations (62.9% saved)

prune402.0ms (2.1%)

Pruning

34 alts after pruning (29 fresh and 5 done)

PrunedKeptTotal
New1166151181
Fresh101424
Picked101
Done257
Total1179341213
Error
0.0b
Counts
1213 → 34
Alt Table
Click to see full alt table
StatusErrorProgram
40.9b
(pow.f64 (/.f64 n (-.f64 x (log.f64 x))) -1)
41.2b
(pow.f64 (cbrt.f64 (/.f64 (-.f64 x (log.f64 x)) n)) 3)
41.8b
(/.f64 (pow.f64 (pow.f64 (-.f64 x (log.f64 x)) 3) 1/3) n)
43.6b
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 2) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 (+.f64 1 x) x) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n))))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))))))
41.0b
(/.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 x))) 3) n)
28.2b
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
40.8b
(/.f64 (/.f64 1 (/.f64 1 (-.f64 x (log.f64 x)))) n)
38.2b
(/.f64 (/.f64 1 x) n)
38.2b
(/.f64 (/.f64 1 n) x)
39.1b
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n)
33.5b
(/.f64 (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) (*.f64 n n))
40.7b
(/.f64 (neg.f64 (log.f64 x)) n)
42.2b
(/.f64 (neg.f64 n) (*.f64 n (/.f64 n (log.f64 x))))
16.9b
(/.f64 (log1p.f64 (/.f64 1 x)) n)
19.2b
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
40.1b
(/.f64 (log.f64 1) n)
41.2b
(/.f64 (expm1.f64 (log1p.f64 (-.f64 x (log.f64 x)))) n)
60.9b
(/.f64 x n)
38.3b
(/.f64 1 (*.f64 x n))
39.1b
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 (/.f64 (/.f64 1/2 x) x) n))
41.6b
(-.f64 (-.f64 (+.f64 (/.f64 x n) (/.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 n n))) (/.f64 (log.f64 x) n)) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n))))
49.3b
(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))
45.5b
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1)
39.3b
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))
39.4b
(-.f64 (exp.f64 (/.f64 x n)) (cbrt.f64 (pow.f64 x (/.f64 3 n))))
56.2b
(-.f64 (exp.f64 (/.f64 x n)) 1)
43.4b
(-.f64 1 (pow.f64 x (/.f64 1 n)))
43.3b
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
61.9b
(+.f64 (/.f64 x n) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)))
43.6b
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 2) (cbrt.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) (pow.f64 (fma.f64 x x x) (/.f64 1 n)))))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n)))))
28.0b
(*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n) (/.f64 1 x))
34.0b
(*.f64 (/.f64 1 (*.f64 n n)) (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))
38.2b
(*.f64 (/.f64 1 x) (/.f64 1 n))
40.7b
(*.f64 (log.f64 x) (/.f64 1 (neg.f64 n)))
Compiler

Compiled 467 to 328 computations (29.8% saved)

regimes332.0ms (1.7%)

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 1 (/.f64 1 (*.f64 x n))) 1)
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n)
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/2 (*.f64 (*.f64 x x) n)))
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 (/.f64 1/2 n) (*.f64 x x)))
(-.f64 (/.f64 1 (*.f64 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 (exp.f64 (/.f64 x n)) 1)
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(*.f64 (log.f64 x) (/.f64 1 (neg.f64 n)))
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n)
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 1)
(/.f64 (neg.f64 n) (*.f64 n (/.f64 n (log.f64 x))))
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
(/.f64 (/.f64 1 (/.f64 1 (-.f64 x (log.f64 x)))) n)
(*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n) (/.f64 1 x))
(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))
(expm1.f64 (/.f64 (log1p.f64 x) n))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(pow.f64 (/.f64 n (-.f64 x (log.f64 x))) -1)
(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x)))
(-.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))
(/.f64 1 (/.f64 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 (/.f64 x n) 1) (exp.f64 (/.f64 (log.f64 x) n)))
(/.f64 (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) (*.f64 n n))
(/.f64 (/.f64 1 (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
(*.f64 (/.f64 1 (*.f64 n n)) (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
(/.f64 (expm1.f64 (log1p.f64 (-.f64 x (log.f64 x)))) n)
(/.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 x))) 3) n)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 x (log.f64 x)) n)) 3)
(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1)
(/.f64 (-.f64 (log1p.f64 x) (*.f64 3 (log.f64 (cbrt.f64 x)))) n)
(/.f64 (pow.f64 (pow.f64 (-.f64 x (log.f64 x)) 3) 1/3) n)
(-.f64 (exp.f64 (/.f64 x n)) (cbrt.f64 (pow.f64 x (/.f64 3 n))))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (cbrt.f64 (pow.f64 x (/.f64 3 n))))
(/.f64 (-.f64 (*.f64 (log1p.f64 x) (/.f64 n (log.f64 x))) n) (*.f64 n (/.f64 n (log.f64 x))))
(-.f64 (-.f64 (+.f64 (/.f64 x n) (/.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 n n))) (/.f64 (log.f64 x) n)) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n))))
(/.f64 (exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
(/.f64 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 3) n)
(/.f64 (pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) n)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3)
(/.f64 (pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) 1/3) n)
(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x)))
(/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x))))) 3) n)
(+.f64 (fma.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (*.f64 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) -1/2))
(fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (-.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)))))
(-.f64 (-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (/.f64 (log1p.f64 x) n)) (/.f64 (log.f64 x) n)) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n))))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 2) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 (+.f64 1 x) x) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n))))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 2) (cbrt.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) (pow.f64 (fma.f64 x x x) (/.f64 1 n)))))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n)))))
(/.f64 (/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)))) (/.f64 (+.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))))) n)
Outputs
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(-.f64 (exp.f64 (/.f64 x n)) (cbrt.f64 (pow.f64 x (/.f64 3 n))))
(/.f64 (log1p.f64 (/.f64 1 x)) n)
Calls

4 calls:

129.0ms
(/.f64 1 n)
113.0ms
n
64.0ms
x
7.0ms
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
Results
ErrorSegmentsBranch
7.0b2x
0.5b3n
10.6b2(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
0.5b3(/.f64 1 n)
Compiler

Compiled 843 to 408 computations (51.6% saved)

bsearch140.0ms (0.7%)

Algorithm
binary-search
Steps
TimeLeftRight
90.0ms
0.00848657541689586
95340983.06476845
49.0ms
-277630467650057.28
-3.80862496283535
Results
55.0ms170×body256valid
46.0ms102×body1024valid
13.0ms42×body512valid
4.0msbody2048valid
Compiler

Compiled 480 to 355 computations (26% saved)

regimes172.0ms (0.9%)

Counts
46 → 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 1 (/.f64 1 (*.f64 x n))) 1)
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n)
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/2 (*.f64 (*.f64 x x) n)))
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 (/.f64 1/2 n) (*.f64 x x)))
(-.f64 (/.f64 1 (*.f64 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 (exp.f64 (/.f64 x n)) 1)
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(*.f64 (log.f64 x) (/.f64 1 (neg.f64 n)))
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n)
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 1)
(/.f64 (neg.f64 n) (*.f64 n (/.f64 n (log.f64 x))))
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
(/.f64 (/.f64 1 (/.f64 1 (-.f64 x (log.f64 x)))) n)
(*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n) (/.f64 1 x))
(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))
(expm1.f64 (/.f64 (log1p.f64 x) n))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(pow.f64 (/.f64 n (-.f64 x (log.f64 x))) -1)
(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x)))
(-.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))
(/.f64 1 (/.f64 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 (/.f64 x n) 1) (exp.f64 (/.f64 (log.f64 x) n)))
(/.f64 (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) (*.f64 n n))
(/.f64 (/.f64 1 (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
(*.f64 (/.f64 1 (*.f64 n n)) (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
(/.f64 (expm1.f64 (log1p.f64 (-.f64 x (log.f64 x)))) n)
(/.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 x))) 3) n)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 x (log.f64 x)) n)) 3)
(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1)
(/.f64 (-.f64 (log1p.f64 x) (*.f64 3 (log.f64 (cbrt.f64 x)))) n)
(/.f64 (pow.f64 (pow.f64 (-.f64 x (log.f64 x)) 3) 1/3) n)
Outputs
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))
Calls

4 calls:

64.0ms
(/.f64 1 n)
56.0ms
n
37.0ms
x
6.0ms
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
Results
ErrorSegmentsBranch
7.0b2x
0.5b3n
10.6b2(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
0.5b3(/.f64 1 n)
Compiler

Compiled 431 to 213 computations (50.6% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0488668858392882e-8
117.83316012358854
0.0ms
-0.2625619507717412
-3.6019101522404314e-15
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes139.0ms (0.7%)

Counts
34 → 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 1 (/.f64 1 (*.f64 x n))) 1)
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n)
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/2 (*.f64 (*.f64 x x) n)))
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 (/.f64 1/2 n) (*.f64 x x)))
(-.f64 (/.f64 1 (*.f64 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 (exp.f64 (/.f64 x n)) 1)
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(*.f64 (log.f64 x) (/.f64 1 (neg.f64 n)))
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n)
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 1)
(/.f64 (neg.f64 n) (*.f64 n (/.f64 n (log.f64 x))))
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
(/.f64 (/.f64 1 (/.f64 1 (-.f64 x (log.f64 x)))) n)
(*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n) (/.f64 1 x))
(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))
(expm1.f64 (/.f64 (log1p.f64 x) n))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(pow.f64 (/.f64 n (-.f64 x (log.f64 x))) -1)
(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x)))
(-.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))
(/.f64 1 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
Outputs
(*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n) (/.f64 1 x))
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))
Calls

3 calls:

55.0ms
n
47.0ms
(/.f64 1 n)
29.0ms
x
Results
ErrorSegmentsBranch
7.0b2x
0.7b4n
0.7b3(/.f64 1 n)
Compiler

Compiled 293 to 153 computations (47.8% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0488668858392882e-8
117.83316012358854
0.0ms
-3.6019101522404314e-15
-4.347262165211714e-19
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes172.0ms (0.9%)

Counts
25 → 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 1 (/.f64 1 (*.f64 x n))) 1)
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n)
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/2 (*.f64 (*.f64 x x) n)))
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 (/.f64 1/2 n) (*.f64 x x)))
(-.f64 (/.f64 1 (*.f64 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 (exp.f64 (/.f64 x n)) 1)
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(*.f64 (log.f64 x) (/.f64 1 (neg.f64 n)))
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n)
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 1)
(/.f64 (neg.f64 n) (*.f64 n (/.f64 n (log.f64 x))))
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
(/.f64 (/.f64 1 (/.f64 1 (-.f64 x (log.f64 x)))) n)
(*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n) (/.f64 1 x))
Outputs
(*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n) (/.f64 1 x))
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(-.f64 1 (pow.f64 x (/.f64 1 n)))
Calls

3 calls:

74.0ms
n
35.0ms
(/.f64 1 n)
24.0ms
x
Results
ErrorSegmentsBranch
7.0b2x
0.9b4n
0.9b3(/.f64 1 n)
Compiler

Compiled 219 to 127 computations (42% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0488668858392882e-8
117.83316012358854
0.0ms
-3.6019101522404314e-15
-4.347262165211714e-19
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes141.0ms (0.7%)

Counts
24 → 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 1 (/.f64 1 (*.f64 x n))) 1)
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n)
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/2 (*.f64 (*.f64 x x) n)))
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 (/.f64 1/2 n) (*.f64 x x)))
(-.f64 (/.f64 1 (*.f64 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 (exp.f64 (/.f64 x n)) 1)
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(*.f64 (log.f64 x) (/.f64 1 (neg.f64 n)))
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n)
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 1)
(/.f64 (neg.f64 n) (*.f64 n (/.f64 n (log.f64 x))))
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
(/.f64 (/.f64 1 (/.f64 1 (-.f64 x (log.f64 x)))) n)
Outputs
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(-.f64 1 (pow.f64 x (/.f64 1 n)))
Calls

3 calls:

83.0ms
n
32.0ms
(/.f64 1 n)
21.0ms
x
Results
ErrorSegmentsBranch
7.1b2x
0.9b4n
0.9b3(/.f64 1 n)
Compiler

Compiled 208 to 120 computations (42.3% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0488668858392882e-8
117.83316012358854
0.0ms
-3.6019101522404314e-15
-4.347262165211714e-19
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes122.0ms (0.6%)

Counts
22 → 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 1 (/.f64 1 (*.f64 x n))) 1)
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n)
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/2 (*.f64 (*.f64 x x) n)))
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 (/.f64 1/2 n) (*.f64 x x)))
(-.f64 (/.f64 1 (*.f64 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 (exp.f64 (/.f64 x n)) 1)
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(*.f64 (log.f64 x) (/.f64 1 (neg.f64 n)))
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n)
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 1)
(/.f64 (neg.f64 n) (*.f64 n (/.f64 n (log.f64 x))))
Outputs
(/.f64 (log.f64 1) n)
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(-.f64 1 (pow.f64 x (/.f64 1 n)))
Calls

3 calls:

60.0ms
n
28.0ms
(/.f64 1 n)
28.0ms
x
Results
ErrorSegmentsBranch
14.9b2x
0.9b4n
0.9b3(/.f64 1 n)
Compiler

Compiled 189 to 111 computations (41.3% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0488668858392882e-8
117.83316012358854
0.0ms
-1.4745923695608898e+20
-0.2625619507717412
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes132.0ms (0.7%)

Counts
17 → 2
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 1 (/.f64 1 (*.f64 x n))) 1)
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n)
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/2 (*.f64 (*.f64 x x) n)))
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 (/.f64 1/2 n) (*.f64 x x)))
(-.f64 (/.f64 1 (*.f64 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 (exp.f64 (/.f64 x n)) 1)
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(*.f64 (log.f64 x) (/.f64 1 (neg.f64 n)))
Outputs
(/.f64 (log.f64 1) n)
(/.f64 (log1p.f64 (/.f64 1 x)) n)
Calls

3 calls:

58.0ms
n
49.0ms
x
20.0ms
(/.f64 1 n)
Results
ErrorSegmentsBranch
14.9b2x
7.0b3n
7.0b2(/.f64 1 n)
Compiler

Compiled 148 to 85 computations (42.6% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-1.4745923695608898e+20
-0.2625619507717412
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes155.0ms (0.8%)

Counts
14 → 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 1 (/.f64 1 (*.f64 x n))) 1)
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n)
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/2 (*.f64 (*.f64 x x) n)))
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 (/.f64 1/2 n) (*.f64 x x)))
(-.f64 (/.f64 1 (*.f64 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 (exp.f64 (/.f64 x n)) 1)
Outputs
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n)
(/.f64 (log.f64 1) n)
Calls

3 calls:

72.0ms
n
48.0ms
(/.f64 1 n)
29.0ms
x
Results
ErrorSegmentsBranch
15.5b3x
22.8b10n
24.4b7(/.f64 1 n)
Compiler

Compiled 129 to 75 computations (41.9% saved)

bsearch184.0ms (0.9%)

Algorithm
binary-search
Steps
TimeLeftRight
101.0ms
1.0624929829983716e+190
3.9109761534472546e+191
83.0ms
0.4983887552481466
35.2918960961413
Results
83.0ms71×body2048valid
65.0ms79×body1024valid
15.0ms47×body256valid
7.0ms27×body512valid
6.0ms32×body256infinite
3.0ms18×body256unsamplable
2.0msbody1024infinite
Compiler

Compiled 321 to 239 computations (25.5% saved)

regimes60.0ms (0.3%)

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

3 calls:

20.0ms
n
20.0ms
x
14.0ms
(/.f64 1 n)
Results
ErrorSegmentsBranch
36.2b2x
28.2b3n
28.3b2(/.f64 1 n)
Compiler

Compiled 118 to 69 computations (41.5% saved)

bsearch128.0ms (0.7%)

Algorithm
binary-search
Steps
TimeLeftRight
75.0ms
3.3774835425149724e-47
2.015980783327112e-41
53.0ms
-3.80862496283535
-6.781535159427037e-21
Results
50.0ms280×body256valid
40.0ms209×body256unsamplable
15.0ms70×body256infinite
14.0ms31×body1024valid
4.0msbody512valid
Compiler

Compiled 320 to 255 computations (20.3% saved)

regimes52.0ms (0.3%)

Counts
11 → 2
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 1 (/.f64 1 (*.f64 x n))) 1)
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n)
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/2 (*.f64 (*.f64 x x) n)))
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 (/.f64 1/2 n) (*.f64 x x)))
(-.f64 (/.f64 1 (*.f64 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 (/.f64 1 (*.f64 x n))) 1)
(/.f64 (/.f64 1 n) x)
Calls

3 calls:

18.0ms
n
12.0ms
x
11.0ms
(/.f64 1 n)
Results
ErrorSegmentsBranch
36.7b2x
33.6b3n
33.6b2(/.f64 1 n)
Compiler

Compiled 114 to 66 computations (42.1% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-1.4745923695608898e+20
-0.2625619507717412
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes15.0ms (0.1%)

Counts
5 → 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))
Outputs
(/.f64 (/.f64 1 n) x)
Calls

3 calls:

6.0ms
n
4.0ms
(/.f64 1 n)
4.0ms
x
Results
ErrorSegmentsBranch
38.2b1x
38.2b1n
38.2b1(/.f64 1 n)
Compiler

Compiled 38 to 25 computations (34.2% saved)

regimes7.0ms (0%)

Accuracy

Total -23.1b remaining (-60.4%)

Threshold costs -23.1b (-60.4%)

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

2 calls:

4.0ms
x
3.0ms
n
Results
ErrorSegmentsBranch
38.3b1x
38.3b1n
Compiler

Compiled 16 to 10 computations (37.5% saved)

simplify21.0ms (0.1%)

Algorithm
egg-herbie
Rules
28×+-commutative
24×sub-neg
16×*-commutative
12×neg-mul-1
12×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
080769
1111769
2129769
3143769
4149769
5150769
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 n -11500) (/.f64 (log1p.f64 (/.f64 1 x)) n) (if (<=.f64 n 22500000) (-.f64 (exp.f64 (/.f64 x n)) (cbrt.f64 (pow.f64 x (/.f64 3 n)))) (/.f64 (log1p.f64 (/.f64 1 x)) n)))
(if (<=.f64 (/.f64 1 n) -3602879701896397/18014398509481984) (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) (if (<=.f64 (/.f64 1 n) 3022314549036573/151115727451828646838272) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))))
(if (<=.f64 (/.f64 1 n) -2535301200456459/1267650600228229401496703205376) (*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n) (/.f64 1 x)) (if (<=.f64 (/.f64 1 n) 3022314549036573/151115727451828646838272) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))))
(if (<=.f64 (/.f64 1 n) -2535301200456459/1267650600228229401496703205376) (*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n) (/.f64 1 x)) (if (<=.f64 (/.f64 1 n) 3022314549036573/151115727451828646838272) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 1 (pow.f64 x (/.f64 1 n)))))
(if (<=.f64 (/.f64 1 n) -2535301200456459/1267650600228229401496703205376) (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) (if (<=.f64 (/.f64 1 n) 3022314549036573/151115727451828646838272) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 1 (pow.f64 x (/.f64 1 n)))))
(if (<=.f64 (/.f64 1 n) -100000000000000000000) (/.f64 (log.f64 1) n) (if (<=.f64 (/.f64 1 n) 3022314549036573/151115727451828646838272) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 1 (pow.f64 x (/.f64 1 n)))))
(if (<=.f64 (/.f64 1 n) -100000000000000000000) (/.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 370000000000000018932320643868602903645146026020310713384825556168188886572047700782015319315480202764278327184363562015843900234538125450301462436045416187350390143914768242538302098072666112) (/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n) (/.f64 (log.f64 1) n)))
(if (<=.f64 n -4278419646001971/1125899906842624) (/.f64 (/.f64 1 n) x) (if (<=.f64 n 5335536475078679/3138550867693340381917894711603833208051177722232017256448) (/.f64 (log.f64 1) n) (/.f64 (/.f64 1 n) x)))
(if (<=.f64 (/.f64 1 n) -100000000000000000000) (-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) (/.f64 (/.f64 1 n) x))
(/.f64 (/.f64 1 n) x)
(/.f64 1 (*.f64 x n))
(/.f64 x n)
Outputs
(if (<=.f64 n -11500) (/.f64 (log1p.f64 (/.f64 1 x)) n) (if (<=.f64 n 22500000) (-.f64 (exp.f64 (/.f64 x n)) (cbrt.f64 (pow.f64 x (/.f64 3 n)))) (/.f64 (log1p.f64 (/.f64 1 x)) n)))
(if (or (<=.f64 n -11500) (not (<=.f64 n 22500000))) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (exp.f64 (/.f64 x n)) (cbrt.f64 (pow.f64 x (/.f64 3 n)))))
(if (<=.f64 (/.f64 1 n) -3602879701896397/18014398509481984) (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) (if (<=.f64 (/.f64 1 n) 3022314549036573/151115727451828646838272) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))))
(if (or (<=.f64 (/.f64 1 n) -3602879701896397/18014398509481984) (not (<=.f64 (/.f64 1 n) 3022314549036573/151115727451828646838272))) (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) (/.f64 (log1p.f64 (/.f64 1 x)) n))
(if (<=.f64 (/.f64 1 n) -2535301200456459/1267650600228229401496703205376) (*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n) (/.f64 1 x)) (if (<=.f64 (/.f64 1 n) 3022314549036573/151115727451828646838272) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))))
(if (<=.f64 (/.f64 1 n) -2535301200456459/1267650600228229401496703205376) (*.f64 (/.f64 1 x) (/.f64 (pow.f64 x (/.f64 1 n)) n)) (if (<=.f64 (/.f64 1 n) 3022314549036573/151115727451828646838272) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (+.f64 1 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))))
(if (<=.f64 (/.f64 1 n) -2535301200456459/1267650600228229401496703205376) (*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n) (/.f64 1 x)) (if (<=.f64 (/.f64 1 n) 3022314549036573/151115727451828646838272) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 1 (pow.f64 x (/.f64 1 n)))))
(if (<=.f64 (/.f64 1 n) -2535301200456459/1267650600228229401496703205376) (*.f64 (/.f64 1 x) (/.f64 (pow.f64 x (/.f64 1 n)) n)) (if (<=.f64 (/.f64 1 n) 3022314549036573/151115727451828646838272) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 1 (pow.f64 x (/.f64 1 n)))))
(if (<=.f64 (/.f64 1 n) -2535301200456459/1267650600228229401496703205376) (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) (if (<=.f64 (/.f64 1 n) 3022314549036573/151115727451828646838272) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 1 (pow.f64 x (/.f64 1 n)))))
(if (<=.f64 (/.f64 1 n) -2535301200456459/1267650600228229401496703205376) (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 n x)) (if (<=.f64 (/.f64 1 n) 3022314549036573/151115727451828646838272) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 1 (pow.f64 x (/.f64 1 n)))))
(if (<=.f64 (/.f64 1 n) -100000000000000000000) (/.f64 (log.f64 1) n) (if (<=.f64 (/.f64 1 n) 3022314549036573/151115727451828646838272) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 1 (pow.f64 x (/.f64 1 n)))))
(if (<=.f64 (/.f64 1 n) -100000000000000000000) (/.f64 0 n) (if (<=.f64 (/.f64 1 n) 3022314549036573/151115727451828646838272) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 1 (pow.f64 x (/.f64 1 n)))))
(if (<=.f64 (/.f64 1 n) -100000000000000000000) (/.f64 (log.f64 1) n) (/.f64 (log1p.f64 (/.f64 1 x)) n))
(if (<=.f64 (/.f64 1 n) -100000000000000000000) (/.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 370000000000000018932320643868602903645146026020310713384825556168188886572047700782015319315480202764278327184363562015843900234538125450301462436045416187350390143914768242538302098072666112) (/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n) (/.f64 (log.f64 1) n)))
(if (<=.f64 x 6124895493223875/9007199254740992) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 370000000000000018932320643868602903645146026020310713384825556168188886572047700782015319315480202764278327184363562015843900234538125450301462436045416187350390143914768242538302098072666112) (/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n) (/.f64 0 n)))
(if (<=.f64 x 6124895493223875/9007199254740992) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 370000000000000018932320643868602903645146026020310713384825556168188886572047700782015319315480202764278327184363562015843900234538125450301462436045416187350390143914768242538302098072666112) (/.f64 (+.f64 (/.f64 1 x) (/.f64 (/.f64 -1/2 x) x)) n) (/.f64 0 n)))
(if (<=.f64 n -4278419646001971/1125899906842624) (/.f64 (/.f64 1 n) x) (if (<=.f64 n 5335536475078679/3138550867693340381917894711603833208051177722232017256448) (/.f64 (log.f64 1) n) (/.f64 (/.f64 1 n) x)))
(if (or (<=.f64 n -4278419646001971/1125899906842624) (not (<=.f64 n 5335536475078679/3138550867693340381917894711603833208051177722232017256448))) (/.f64 (/.f64 1 n) x) (/.f64 0 n))
(if (<=.f64 (/.f64 1 n) -100000000000000000000) (-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) (/.f64 (/.f64 1 n) x))
(if (<=.f64 (/.f64 1 n) -100000000000000000000) (+.f64 (+.f64 1 (/.f64 1 (*.f64 n x))) -1) (/.f64 (/.f64 1 n) x))
(/.f64 (/.f64 1 n) x)
(/.f64 1 (*.f64 x n))
(/.f64 1 (*.f64 n x))
(/.f64 x n)
Compiler

Compiled 311 to 227 computations (27% saved)

soundness309.0ms (1.6%)

Algorithm
egg-herbie
Rules
1564×associate-/r*
1382×associate-*r/
1092×associate-/l*
940×associate--r+
940×associate--r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
044813248
1128812594
2556212586
03845359
19814933
239704927
01631982
13891938
218751938
044813248
1128812594
2556212586
Stop Event
node limit
node limit
node limit
node limit
Compiler

Compiled 180 to 124 computations (31.1% saved)

end136.0ms (0.7%)

Compiler

Compiled 287 to 197 computations (31.4% saved)

Profiling

Loading profile data...