Details

Time bar (total: 8.2s)

analyze623.0ms (7.6%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%50%50%0%0%0%0
0%0%50%50%0%0%0%1
0%0%50%50%0%0%0%2
0%0%50%50%0%0%0%3
0%0%50%50%0%0%0%4
6.3%3.1%46.8%50%0%0%0%5
9.4%4.7%45.3%50%0%0%0%6
10.9%5.5%44.5%50%0%0%0%7
11.7%5.9%44.1%50%0%0%0%8
12.1%6%43.9%50%0%0%0%9
12.3%6.1%43.8%50%0%0%0%10
12.4%6.2%43.8%50%0%0%0%11
12.5%6.2%43.7%50%0%0%0%12
Compiler

Compiled 17 to 13 computations (23.5% saved)

sample5.9s (72.6%)

Results
3.8s4068×body1024valid
1.1s2072×body512valid
562.0ms413×body2048valid
395.0ms1703×body256valid
Bogosity

preprocess8.0ms (0.1%)

Algorithm
egg-herbie
Rules
18×+-commutative
12×fma-def
12×associate-+l-
sub-neg
associate-+r-
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01021
11619
22119
32819
43519
54519
66419
77819
88219
011
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
Outputs
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
(/.f64 (log.f64 (-.f64 1 x)) (log1p.f64 x))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify13.0ms (0.2%)

Algorithm
egg-herbie
Rules
18×+-commutative
12×fma-def
12×associate-+l-
sub-neg
associate-+r-
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01021
11619
22119
32819
43519
54519
66419
77819
88219
Stop Event
saturated
Counts
1 → 3
Calls
Call 1
Inputs
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
Outputs
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
(/.f64 (log.f64 (-.f64 1 x)) (log1p.f64 x))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

eval28.0ms (0.3%)

Compiler

Compiled 23 to 16 computations (30.4% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New123
Fresh011
Picked000
Done000
Total134
Error
0.0b
Counts
4 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
62.3b
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
Compiler

Compiled 17 to 13 computations (23.5% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
6.6b
(log.f64 (+.f64 1 x))
6.7b
(log.f64 (-.f64 1 x))
Compiler

Compiled 26 to 19 computations (26.9% saved)

series6.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
1.0ms
x
@inf
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
1.0ms
x
@-inf
(log.f64 (+.f64 1 x))
0.0ms
x
@inf
(log.f64 (-.f64 1 x))
0.0ms
x
@0
(log.f64 (-.f64 1 x))

rewrite70.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1240×associate-*r/
1060×associate-/r*
912×associate-*l/
892×*-commutative
660×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01037
120333
2260833
Stop Event
node limit
Counts
3 → 125
Calls
Call 1
Inputs
(log.f64 (-.f64 1 x))
(log.f64 (+.f64 1 x))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (+.f64 1 x))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (log.f64 (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (hypot.f64 1 (sqrt.f64 x))) (log.f64 (hypot.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (log.f64 (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (hypot.f64 1 (sqrt.f64 x)))) (log.f64 (hypot.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (-.f64 1 (pow.f64 x 3)))) (log.f64 (+.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (-.f64 1 (*.f64 x x)))) (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (exp.f64 (log1p.f64 (log1p.f64 (neg.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (*.f64 1 (log.f64 (cbrt.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (log.f64 (hypot.f64 1 (sqrt.f64 x)))) (*.f64 1 (log.f64 (hypot.f64 1 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) 1) (*.f64 (log.f64 (cbrt.f64 (+.f64 1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (hypot.f64 1 (sqrt.f64 x))) 1) (*.f64 (log.f64 (hypot.f64 1 (sqrt.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log1p.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 1 (pow.f64 x 3))) (log.f64 (+.f64 1 (-.f64 (*.f64 x x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (log.f64 (-.f64 1 (*.f64 x x)))) (log1p.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (log.f64 (+.f64 1 (pow.f64 x 3)))) (log.f64 (+.f64 1 (-.f64 (*.f64 x x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (exp.f64 (log1p.f64 (log1p.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (log.f64 (-.f64 1 (*.f64 x x))) 0) (log1p.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))) (log.f64 (cbrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (sqrt.f64 (-.f64 1 x)))) (log.f64 (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (log.f64 (hypot.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 x)))))
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(2) ((x *.f64 (/.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) 1) (/.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (cbrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (cbrt.f64 (log1p.f64 x))) (/.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2) 1) (/.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2) (sqrt.f64 (log1p.f64 x))) (/.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (sqrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (sqrt.f64 (log1p.f64 x))) (/.f64 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x)) (log1p.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (log1p.f64 (neg.f64 x)) (neg.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (-.f64 1 x) (/.f64 1 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))))))

simplify99.0ms (1.2%)

Algorithm
egg-herbie
Rules
1118×+-commutative
1036×associate--r+
792×associate-+l-
706×associate--l+
668×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04106223
111055347
252135343
Stop Event
node limit
Counts
161 → 267
Calls
Call 1
Inputs
(*.f64 -1 x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 -1 x)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1 x) (*.f64 -1/4 (pow.f64 x 4)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))))
(*.f64 -1 (log.f64 (/.f64 -1 x)))
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (/.f64 1 x))
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))))
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/4 (pow.f64 x 4)) x)))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.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 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1)
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x)))) (/.f64 2 (*.f64 (log.f64 (/.f64 1 x)) x))) (/.f64 (log.f64 -1) (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x)))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (*.f64 (log.f64 (/.f64 1 x)) x))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x)))))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (+.f64 (/.f64 (log.f64 -1) (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x)) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 2)))))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (*.f64 (log.f64 (/.f64 1 x)) x))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 3)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x))))))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 3)))) (+.f64 (*.f64 1/3 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 3)))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 2)))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (*.f64 -1 (/.f64 (-.f64 (*.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (log.f64 (/.f64 1 x)))))) (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 3)))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (/.f64 (log.f64 -1) (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x))))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) x)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (*.f64 1/2 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) x))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (*.f64 1/2 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) x)) (*.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (+.f64 (*.f64 1/3 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (*.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))))) (pow.f64 x 3))))))
(+.f64 (log1p.f64 (neg.f64 x)) 0)
(+.f64 0 (log1p.f64 (neg.f64 x)))
(+.f64 (log.f64 (cbrt.f64 (-.f64 1 x))) (log.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (log.f64 (cbrt.f64 (-.f64 1 x))))
(+.f64 (log.f64 (sqrt.f64 (-.f64 1 x))) (log.f64 (sqrt.f64 (-.f64 1 x))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))) (log.f64 (cbrt.f64 (-.f64 1 x))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (-.f64 1 x)))) (log.f64 (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (-.f64 1 (*.f64 x x)))) (log1p.f64 (neg.f64 x)))
(+.f64 (-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (+.f64 1 (pow.f64 x 3)))) (log.f64 (+.f64 1 (-.f64 (*.f64 x x) x))))
(+.f64 (-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (exp.f64 (log1p.f64 (log1p.f64 x)))) 1)
(+.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))) (*.f64 1 (log.f64 (cbrt.f64 (-.f64 1 x)))))
(+.f64 (*.f64 1 (log.f64 (sqrt.f64 (-.f64 1 x)))) (*.f64 1 (log.f64 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) 1) (*.f64 (log.f64 (cbrt.f64 (-.f64 1 x))) 1))
(+.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 1 x))) 1) (*.f64 (log.f64 (sqrt.f64 (-.f64 1 x))) 1))
(-.f64 (log.f64 (-.f64 1 (pow.f64 x 3))) (log.f64 (+.f64 1 (fma.f64 x x x))))
(-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log1p.f64 x))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (neg.f64 x)))) 1)
(-.f64 (+.f64 0 (log.f64 (-.f64 1 (pow.f64 x 3)))) (log.f64 (+.f64 1 (fma.f64 x x x))))
(-.f64 (+.f64 0 (log.f64 (-.f64 1 (*.f64 x x)))) (log1p.f64 x))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log1p.f64 (neg.f64 x))))) 1)
(-.f64 (-.f64 (log.f64 (-.f64 1 (*.f64 x x))) 0) (log1p.f64 x))
(-.f64 (-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (log.f64 (cbrt.f64 (+.f64 1 x))))
(-.f64 (-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (hypot.f64 1 (sqrt.f64 x)))) (log.f64 (hypot.f64 1 (sqrt.f64 x))))
(*.f64 1 (log1p.f64 (neg.f64 x)))
(*.f64 (log1p.f64 (neg.f64 x)) 1)
(*.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (sqrt.f64 (log1p.f64 (neg.f64 x))))
(*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2) (cbrt.f64 (log1p.f64 (neg.f64 x))))
(*.f64 2 (log.f64 (sqrt.f64 (-.f64 1 x))))
(pow.f64 (log1p.f64 (neg.f64 x)) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 3)
(pow.f64 (pow.f64 (log1p.f64 (neg.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (neg.f64 x)) 2))
(cbrt.f64 (pow.f64 (log1p.f64 (neg.f64 x)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (neg.f64 x))))
(exp.f64 (log.f64 (log1p.f64 (neg.f64 x))))
(log1p.f64 (neg.f64 x))
(+.f64 (log1p.f64 x) 0)
(+.f64 0 (log1p.f64 x))
(+.f64 (log.f64 (cbrt.f64 (+.f64 1 x))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (log.f64 (cbrt.f64 (+.f64 1 x))))
(+.f64 (log.f64 (hypot.f64 1 (sqrt.f64 x))) (log.f64 (hypot.f64 1 (sqrt.f64 x))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (log.f64 (cbrt.f64 (+.f64 1 x))))
(+.f64 (+.f64 0 (log.f64 (hypot.f64 1 (sqrt.f64 x)))) (log.f64 (hypot.f64 1 (sqrt.f64 x))))
(+.f64 (-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (-.f64 1 (pow.f64 x 3)))) (log.f64 (+.f64 1 (fma.f64 x x x))))
(+.f64 (-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (-.f64 1 (*.f64 x x)))) (log1p.f64 x))
(+.f64 (-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (exp.f64 (log1p.f64 (log1p.f64 (neg.f64 x))))) 1)
(+.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (*.f64 1 (log.f64 (cbrt.f64 (+.f64 1 x)))))
(+.f64 (*.f64 1 (log.f64 (hypot.f64 1 (sqrt.f64 x)))) (*.f64 1 (log.f64 (hypot.f64 1 (sqrt.f64 x)))))
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) 1) (*.f64 (log.f64 (cbrt.f64 (+.f64 1 x))) 1))
(+.f64 (*.f64 (log.f64 (hypot.f64 1 (sqrt.f64 x))) 1) (*.f64 (log.f64 (hypot.f64 1 (sqrt.f64 x))) 1))
(-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log1p.f64 (neg.f64 x)))
(-.f64 (log.f64 (+.f64 1 (pow.f64 x 3))) (log.f64 (+.f64 1 (-.f64 (*.f64 x x) x))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 x))) 1)
(-.f64 (+.f64 0 (log.f64 (-.f64 1 (*.f64 x x)))) (log1p.f64 (neg.f64 x)))
(-.f64 (+.f64 0 (log.f64 (+.f64 1 (pow.f64 x 3)))) (log.f64 (+.f64 1 (-.f64 (*.f64 x x) x))))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log1p.f64 x)))) 1)
(-.f64 (-.f64 (log.f64 (-.f64 1 (*.f64 x x))) 0) (log1p.f64 (neg.f64 x)))
(-.f64 (-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))) (log.f64 (cbrt.f64 (-.f64 1 x))))
(-.f64 (-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (sqrt.f64 (-.f64 1 x)))) (log.f64 (sqrt.f64 (-.f64 1 x))))
(*.f64 1 (log1p.f64 x))
(*.f64 (log1p.f64 x) 1)
(*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))
(*.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)))
(*.f64 2 (log.f64 (hypot.f64 1 (sqrt.f64 x))))
(pow.f64 (log1p.f64 x) 1)
(pow.f64 (sqrt.f64 (log1p.f64 x)) 2)
(pow.f64 (cbrt.f64 (log1p.f64 x)) 3)
(pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 x) 2))
(cbrt.f64 (pow.f64 (log1p.f64 x) 3))
(expm1.f64 (log1p.f64 (log1p.f64 x)))
(exp.f64 (log.f64 (log1p.f64 x)))
(log1p.f64 x)
(+.f64 (*.f64 (/.f64 1 (log1p.f64 x)) 0) (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(+.f64 (*.f64 (/.f64 1 (log1p.f64 x)) (log.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))) (*.f64 (/.f64 1 (log1p.f64 x)) (log.f64 (cbrt.f64 (-.f64 1 x)))))
(+.f64 (*.f64 (/.f64 1 (log1p.f64 x)) (log.f64 (sqrt.f64 (-.f64 1 x)))) (*.f64 (/.f64 1 (log1p.f64 x)) (log.f64 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (*.f64 0 (/.f64 1 (log1p.f64 x))) (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 1 (log1p.f64 x))) (*.f64 (log.f64 (cbrt.f64 (-.f64 1 x))) (/.f64 1 (log1p.f64 x))))
(+.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 1 x))) (/.f64 1 (log1p.f64 x))) (*.f64 (log.f64 (sqrt.f64 (-.f64 1 x))) (/.f64 1 (log1p.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 1)
(*.f64 1 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(*.f64 (log1p.f64 (neg.f64 x)) (/.f64 1 (log1p.f64 x)))
(*.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1)
(*.f64 (sqrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) (sqrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(*.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (/.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 x)))
(*.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 2))
(*.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 2) (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2) (/.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 x)))
(*.f64 (/.f64 1 (log1p.f64 x)) (log1p.f64 (neg.f64 x)))
(*.f64 (neg.f64 (log1p.f64 (neg.f64 x))) (/.f64 -1 (log1p.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 x)) (sqrt.f64 (log1p.f64 (neg.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 x)) (/.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) 1))
(*.f64 (/.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2))
(*.f64 (/.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2) 1))
(*.f64 (/.f64 1 (sqrt.f64 (log1p.f64 x))) (/.f64 (log1p.f64 (neg.f64 x)) (sqrt.f64 (log1p.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (log1p.f64 (neg.f64 x)) (cbrt.f64 (log1p.f64 x))))
(*.f64 (/.f64 (log1p.f64 (neg.f64 x)) (sqrt.f64 (log1p.f64 x))) (/.f64 1 (sqrt.f64 (log1p.f64 x))))
(*.f64 (/.f64 (log1p.f64 (neg.f64 x)) (cbrt.f64 (log1p.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)))
(*.f64 (/.f64 -1 (log1p.f64 x)) (neg.f64 (log1p.f64 (neg.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) 1) (/.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (cbrt.f64 (log1p.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (cbrt.f64 (log1p.f64 x))) (/.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2) 1) (/.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2) (sqrt.f64 (log1p.f64 x))) (/.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (sqrt.f64 (log1p.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (sqrt.f64 (log1p.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2) (sqrt.f64 (log1p.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2) (log1p.f64 x)) (cbrt.f64 (log1p.f64 (neg.f64 x))))
(*.f64 (/.f64 1 (/.f64 (log1p.f64 x) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2))) (cbrt.f64 (log1p.f64 (neg.f64 x))))
(pow.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 3) 1/3)
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) -1)
(neg.f64 (/.f64 (log1p.f64 (neg.f64 x)) (neg.f64 (log1p.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 2))
(log.f64 (pow.f64 (-.f64 1 x) (/.f64 1 (log1p.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(exp.f64 (log.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
Outputs
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))
(fma.f64 -1/2 (*.f64 x x) (neg.f64 x))
(-.f64 (*.f64 x (*.f64 x -1/2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 -1 x)))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 x)))
(-.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 -1/3 (pow.f64 x 3))) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1 x) (*.f64 -1/4 (pow.f64 x 4)))))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 -1 x (*.f64 -1/4 (pow.f64 x 4)))))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 -1/4 (pow.f64 x 4) (neg.f64 x))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))
(fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1))
(+.f64 (log.f64 x) (log.f64 -1))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (/.f64 1 x))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (/.f64 1 x))
(+.f64 (log.f64 x) (+.f64 (log.f64 -1) (/.f64 -1 x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))))
(+.f64 (log.f64 x) (+.f64 (log.f64 -1) (+.f64 (/.f64 -1/2 (*.f64 x x)) (/.f64 -1 x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (+.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/3 (pow.f64 x 3))) (/.f64 1 x)))
(+.f64 (log.f64 x) (-.f64 (-.f64 (log.f64 -1) (/.f64 1/2 (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3)))))
(+.f64 (log.f64 x) (+.f64 (log.f64 -1) (-.f64 (/.f64 -1/2 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))))))
(*.f64 -1 (log.f64 (/.f64 -1 x)))
(neg.f64 (log.f64 (/.f64 -1 x)))
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (/.f64 1 x))
(-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (/.f64 1 x))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (/.f64 -1 x))
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(-.f64 (-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (/.f64 1/2 (*.f64 x x))) (/.f64 1 x))
(+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (/.f64 -1/2 (*.f64 x x))) (/.f64 -1 x))
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))))
(-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (+.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/3 (pow.f64 x 3))) (/.f64 1 x)))
(-.f64 (+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (/.f64 -1/2 (*.f64 x x))) (/.f64 -1 x)) (/.f64 1/3 (pow.f64 x 3)))
(+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (/.f64 -1/2 (*.f64 x x))) (-.f64 (/.f64 -1 x) (/.f64 1/3 (pow.f64 x 3))))
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (*.f64 x x) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) x))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 1/3 (pow.f64 x 3) x))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 (pow.f64 x 3) 1/3 x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/4 (pow.f64 x 4)) x)))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 1/3 (pow.f64 x 3) (fma.f64 -1/4 (pow.f64 x 4) x)))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 (pow.f64 x 3) 1/3 (fma.f64 -1/4 (pow.f64 x 4) x)))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(neg.f64 (neg.f64 (log.f64 x)))
(log.f64 x)
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x))
(fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (log.f64 x))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1 x)) (/.f64 1/2 (*.f64 x x)))
(+.f64 (/.f64 1 x) (+.f64 (log.f64 x) (/.f64 -1/2 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3)))) (/.f64 1/2 (*.f64 x x)))
(+.f64 (log.f64 x) (+.f64 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 1/2 (*.f64 x x)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))
(-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x)))
(+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (/.f64 1 x)) (/.f64 1/2 (*.f64 x x)))
(+.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1 x) (/.f64 -1/2 (*.f64 x x))))
(-.f64 (+.f64 (/.f64 1 x) (log.f64 -1)) (-.f64 (log.f64 (/.f64 -1 x)) (/.f64 -1/2 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3)))) (/.f64 1/2 (*.f64 x x)))
(+.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 1/2 (*.f64 x x)))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (-.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (/.f64 1/2 (*.f64 x x))))
-1
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
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(-.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 (neg.f64 x)))
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(-.f64 (+.f64 0 (log.f64 (-.f64 1 (*.f64 x x)))) (log1p.f64 (neg.f64 x)))
(-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log1p.f64 (neg.f64 x)))
(-.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 (neg.f64 x)))
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(-.f64 (-.f64 (log.f64 (-.f64 1 (*.f64 x x))) 0) (log1p.f64 (neg.f64 x)))
(-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log1p.f64 (neg.f64 x)))
(-.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 (neg.f64 x)))
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(-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (+.f64 (log.f64 (cbrt.f64 (-.f64 1 x))) (*.f64 2 (log.f64 (cbrt.f64 (-.f64 1 x))))))
(-.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (*.f64 3 (log.f64 (cbrt.f64 (-.f64 1 x)))))
(-.f64 (-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (sqrt.f64 (-.f64 1 x)))) (log.f64 (sqrt.f64 (-.f64 1 x))))
(-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (*.f64 2 (log.f64 (sqrt.f64 (-.f64 1 x)))))
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(*.f64 1 (log1p.f64 x))
(log1p.f64 x)
(*.f64 (log1p.f64 x) 1)
(log1p.f64 x)
(*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))
(log1p.f64 x)
(*.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))
(log1p.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)))
(log1p.f64 x)
(*.f64 2 (log.f64 (hypot.f64 1 (sqrt.f64 x))))
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(log1p.f64 x)
(pow.f64 (cbrt.f64 (log1p.f64 x)) 3)
(log1p.f64 x)
(pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3)
(log1p.f64 x)
(sqrt.f64 (pow.f64 (log1p.f64 x) 2))
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(cbrt.f64 (pow.f64 (log1p.f64 x) 3))
(log1p.f64 x)
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(log1p.f64 x)
(exp.f64 (log.f64 (log1p.f64 x)))
(log1p.f64 x)
(log1p.f64 x)
(+.f64 (*.f64 (/.f64 1 (log1p.f64 x)) 0) (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(+.f64 0 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
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(/.f64 (*.f64 3 (log.f64 (cbrt.f64 (-.f64 1 x)))) (log1p.f64 x))
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(*.f64 2 (/.f64 (log.f64 (sqrt.f64 (-.f64 1 x))) (log1p.f64 x)))
(+.f64 (*.f64 0 (/.f64 1 (log1p.f64 x))) (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
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(*.f64 (/.f64 1 (log1p.f64 x)) (+.f64 (log.f64 (cbrt.f64 (-.f64 1 x))) (*.f64 2 (log.f64 (cbrt.f64 (-.f64 1 x))))))
(/.f64 (*.f64 3 (log.f64 (cbrt.f64 (-.f64 1 x)))) (log1p.f64 x))
(+.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 1 x))) (/.f64 1 (log1p.f64 x))) (*.f64 (log.f64 (sqrt.f64 (-.f64 1 x))) (/.f64 1 (log1p.f64 x))))
(*.f64 2 (/.f64 (log.f64 (sqrt.f64 (-.f64 1 x))) (log1p.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 1)
(+.f64 0 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
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(+.f64 0 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(*.f64 (log1p.f64 (neg.f64 x)) (/.f64 1 (log1p.f64 x)))
(+.f64 0 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(*.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1)
(+.f64 0 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(*.f64 (sqrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) (sqrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(+.f64 0 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
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(+.f64 0 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(*.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 2))
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(*.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)))
(/.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 2) (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(+.f64 0 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2) (/.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 x)))
(+.f64 0 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(*.f64 (/.f64 1 (log1p.f64 x)) (log1p.f64 (neg.f64 x)))
(+.f64 0 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(*.f64 (neg.f64 (log1p.f64 (neg.f64 x))) (/.f64 -1 (log1p.f64 x)))
(+.f64 0 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 x)) (sqrt.f64 (log1p.f64 (neg.f64 x))))
(+.f64 0 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 x)) (/.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) 1))
(+.f64 0 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(*.f64 (/.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2))
(+.f64 0 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(*.f64 (/.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2) 1))
(+.f64 0 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(*.f64 (/.f64 1 (sqrt.f64 (log1p.f64 x))) (/.f64 (log1p.f64 (neg.f64 x)) (sqrt.f64 (log1p.f64 x))))
(+.f64 0 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (log1p.f64 (neg.f64 x)) (cbrt.f64 (log1p.f64 x))))
(+.f64 0 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(*.f64 (/.f64 (log1p.f64 (neg.f64 x)) (sqrt.f64 (log1p.f64 x))) (/.f64 1 (sqrt.f64 (log1p.f64 x))))
(+.f64 0 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(*.f64 (/.f64 (log1p.f64 (neg.f64 x)) (cbrt.f64 (log1p.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)))
(+.f64 0 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(*.f64 (/.f64 -1 (log1p.f64 x)) (neg.f64 (log1p.f64 (neg.f64 x))))
(+.f64 0 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) 1) (/.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 x)))
(+.f64 0 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (cbrt.f64 (log1p.f64 x))))
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(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (cbrt.f64 (log1p.f64 x))) (/.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)))
(+.f64 0 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2) 1) (/.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 x)))
(+.f64 0 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2) (sqrt.f64 (log1p.f64 x))) (/.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (sqrt.f64 (log1p.f64 x))))
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(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
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(+.f64 0 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)))
(/.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2) (log1p.f64 x)) (cbrt.f64 (log1p.f64 (neg.f64 x))))
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(*.f64 (/.f64 1 (/.f64 (log1p.f64 x) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2))) (cbrt.f64 (log1p.f64 (neg.f64 x))))
(+.f64 0 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(pow.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1)
(+.f64 0 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
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(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 2)
(+.f64 0 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
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(+.f64 0 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
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(+.f64 0 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) -1)
(+.f64 0 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(neg.f64 (/.f64 (log1p.f64 (neg.f64 x)) (neg.f64 (log1p.f64 x))))
(+.f64 0 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 2))
(fabs.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(log.f64 (pow.f64 (-.f64 1 x) (/.f64 1 (log1p.f64 x))))
(+.f64 0 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))))
(+.f64 0 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 3))
(+.f64 0 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(+.f64 0 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(exp.f64 (log.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(+.f64 0 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(+.f64 0 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
Compiler

Compiled 15 to 5 computations (66.7% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
1.0ms
x
@-inf
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
0.0ms
x
@0
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

rewrite48.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1230×add-sqr-sqrt
1218×*-un-lft-identity
1130×add-cube-cbrt
1116×add-cbrt-cube
1102×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0819
116415
2217315
Stop Event
node limit
Counts
1 → 30
Calls
Call 1
Inputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 x) (/.f64 1 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 x)) (*.f64 (sqrt.f64 (log1p.f64 x)) (/.f64 1 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2) (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (*.f64 (cbrt.f64 (log1p.f64 x)) (/.f64 1 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log1p.f64 x)) (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (log1p.f64 x)) (/.f64 1 (neg.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (log1p.f64 x))) (/.f64 (log1p.f64 x) (sqrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (sqrt.f64 (log1p.f64 x))) (/.f64 (cbrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) 1) (/.f64 (sqrt.f64 (log1p.f64 x)) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) 1) (/.f64 (cbrt.f64 (log1p.f64 x)) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))))))

simplify55.0ms (0.7%)

Algorithm
egg-herbie
Rules
1220×associate-/r*
996×fma-def
742×times-frac
598×associate-/l*
584×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01882430
16012216
219692030
Stop Event
node limit
Counts
42 → 73
Calls
Call 1
Inputs
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1)
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x)))) (/.f64 2 (*.f64 (log.f64 (/.f64 1 x)) x))) (/.f64 (log.f64 -1) (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x)))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (*.f64 (log.f64 (/.f64 1 x)) x))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x)))))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (+.f64 (/.f64 (log.f64 -1) (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x)) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 2)))))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (*.f64 (log.f64 (/.f64 1 x)) x))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 3)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x))))))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 3)))) (+.f64 (*.f64 1/3 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 3)))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 2)))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (*.f64 -1 (/.f64 (-.f64 (*.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (log.f64 (/.f64 1 x)))))) (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 3)))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (/.f64 (log.f64 -1) (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x))))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) x)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (*.f64 1/2 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) x))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (*.f64 1/2 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) x)) (*.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (+.f64 (*.f64 1/3 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (*.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))))) (pow.f64 x 3))))))
(-.f64 (+.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 x))) 1)
(*.f64 (log1p.f64 x) (/.f64 1 (log1p.f64 x)))
(*.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 1)
(*.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 x)))
(*.f64 (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 (sqrt.f64 (log1p.f64 x)) (*.f64 (sqrt.f64 (log1p.f64 x)) (/.f64 1 (log1p.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2) (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (*.f64 (cbrt.f64 (log1p.f64 x)) (/.f64 1 (log1p.f64 x))))
(*.f64 (/.f64 1 (log1p.f64 x)) (log1p.f64 x))
(*.f64 (neg.f64 (log1p.f64 x)) (/.f64 1 (neg.f64 (log1p.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (log1p.f64 x))) (/.f64 (log1p.f64 x) (sqrt.f64 (log1p.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (sqrt.f64 (log1p.f64 x))) (/.f64 (cbrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) 1) (/.f64 (sqrt.f64 (log1p.f64 x)) (log1p.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 (log1p.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) 1) (/.f64 (cbrt.f64 (log1p.f64 x)) (log1p.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 1)
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) -1)
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 3) 1/3)
(neg.f64 (/.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(exp.f64 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
Outputs
-1
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
(-.f64 -1 x)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x -1))
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x (*.f64 -5/12 (pow.f64 x 3)))) -1)
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) (neg.f64 x))))
(fma.f64 x (*.f64 x -1/2) (fma.f64 -5/12 (pow.f64 x 3) (-.f64 -1 x)))
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x))))
(neg.f64 (/.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (neg.f64 (log.f64 x))))
(/.f64 (neg.f64 (+.f64 (log.f64 -1) (log.f64 x))) (neg.f64 (log.f64 x)))
(*.f64 (/.f64 1 (log.f64 x)) (+.f64 (log.f64 -1) (log.f64 x)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x)))) (/.f64 2 (*.f64 (log.f64 (/.f64 1 x)) x))) (/.f64 (log.f64 -1) (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x)))
(-.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (neg.f64 (log.f64 x))) (/.f64 2 (*.f64 x (neg.f64 (log.f64 x))))) (/.f64 (log.f64 -1) (*.f64 x (pow.f64 (neg.f64 (log.f64 x)) 2))))
(-.f64 (-.f64 (/.f64 2 (*.f64 x (neg.f64 (log.f64 x)))) (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) (neg.f64 (log.f64 x)))) (/.f64 (/.f64 (log.f64 -1) (*.f64 (log.f64 x) (log.f64 x))) x))
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(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (/.f64 (-.f64 (/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))) x)) (/.f64 (-.f64 (/.f64 1/3 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (fma.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)) (-.f64 (fma.f64 1/3 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (fma.f64 -1/2 (-.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))) (/.f64 1/2 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)))) (-.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)) (/.f64 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))))) (pow.f64 x 3))) (/.f64 (-.f64 (fma.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (-.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)))) (*.f64 x x)))
(-.f64 (-.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (/.f64 (-.f64 (/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))) x)) (+.f64 (/.f64 (-.f64 (/.f64 1/3 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (fma.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)) (+.f64 (fma.f64 1/3 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 1/2 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))) (*.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))) (+.f64 -1/2 (/.f64 -1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))))) (pow.f64 x 3)) (/.f64 (+.f64 (-.f64 (fma.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))) (*.f64 x x))))
(-.f64 (+.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 x))) 1)
1
(*.f64 (log1p.f64 x) (/.f64 1 (log1p.f64 x)))
1
(*.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 1)
1
(*.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 x)))
1
(*.f64 (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
1
(*.f64 (sqrt.f64 (log1p.f64 x)) (*.f64 (sqrt.f64 (log1p.f64 x)) (/.f64 1 (log1p.f64 x))))
1
(*.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2))
1
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2) (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
1
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (*.f64 (cbrt.f64 (log1p.f64 x)) (/.f64 1 (log1p.f64 x))))
1
(*.f64 (/.f64 1 (log1p.f64 x)) (log1p.f64 x))
1
(*.f64 (neg.f64 (log1p.f64 x)) (/.f64 1 (neg.f64 (log1p.f64 x))))
1
(*.f64 (/.f64 1 (sqrt.f64 (log1p.f64 x))) (/.f64 (log1p.f64 x) (sqrt.f64 (log1p.f64 x))))
1
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x))))
1
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (sqrt.f64 (log1p.f64 x))) (/.f64 (cbrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))))
1
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) 1) (/.f64 (sqrt.f64 (log1p.f64 x)) (log1p.f64 x)))
1
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 (log1p.f64 x))))
1
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) 1) (/.f64 (cbrt.f64 (log1p.f64 x)) (log1p.f64 x)))
1
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
1
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 1)
1
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) -1)
1
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2)
1
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 3)
1
(pow.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 3) 1/3)
1
(neg.f64 (/.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))))
1
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 2))
1
(log.f64 (exp.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
1
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 3))
1
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
1
(exp.f64 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
1
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
1

eval212.0ms (2.6%)

Compiler

Compiled 9860 to 6813 computations (30.9% saved)

prune45.0ms (0.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New3364340
Fresh000
Picked011
Done101
Total3375342
Error
0b
Counts
342 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
63.0b
(/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log.f64 (+.f64 1 x)))
63.0b
(/.f64 (neg.f64 x) (log.f64 (+.f64 1 x)))
0.0b
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
0.2b
(-.f64 -1 x)
0.6b
-1
Compiler

Compiled 34 to 25 computations (26.5% saved)

localize2.0ms (0%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize43.0ms (0.5%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (neg.f64 x) (log.f64 (+.f64 1 x)))
6.6b
(log.f64 (+.f64 1 x))
Compiler

Compiled 19 to 12 computations (36.8% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(/.f64 (neg.f64 x) (log.f64 (+.f64 1 x)))
1.0ms
x
@inf
(/.f64 (neg.f64 x) (log.f64 (+.f64 1 x)))
1.0ms
x
@0
(/.f64 (neg.f64 x) (log.f64 (+.f64 1 x)))

rewrite81.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1672×add-sqr-sqrt
1656×*-un-lft-identity
1546×add-cube-cbrt
1528×add-cbrt-cube
180×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0915
118611
2252611
Stop Event
node limit
Counts
1 → 37
Calls
Call 1
Inputs
(/.f64 (neg.f64 x) (log.f64 (+.f64 1 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 x (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (log1p.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (log1p.f64 x)) (/.f64 x (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (neg.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (log1p.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (log1p.f64 x))) (sqrt.f64 (/.f64 x (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (log1p.f64 x))) (pow.f64 (cbrt.f64 (/.f64 x (log1p.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (log1p.f64 x))) 2) (cbrt.f64 (/.f64 x (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 x (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log1p.f64 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (log1p.f64 x))) (/.f64 x (sqrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 x (cbrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 (log1p.f64 x))) (/.f64 x (sqrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 x (cbrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (log1p.f64 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (/.f64 x (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (log1p.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (log1p.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (log1p.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (log1p.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log1p.f64 x) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (log1p.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (log1p.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (log1p.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (log1p.f64 x))))))))

simplify75.0ms (0.9%)

Algorithm
egg-herbie
Rules
1254×+-commutative
1070×associate--r+
928×associate-/r*
726×associate-*r/
592×unswap-sqr
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01681783
14501695
218151691
374001691
Stop Event
node limit
Counts
49 → 90
Calls
Call 1
Inputs
-1
(-.f64 (*.f64 -1/2 x) 1)
(-.f64 (+.f64 (*.f64 -1/2 x) (*.f64 1/12 (pow.f64 x 2))) 1)
(-.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 x) (*.f64 1/12 (pow.f64 x 2)))) 1)
(/.f64 x (log.f64 (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2)) (/.f64 x (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2)) (+.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) x)) (/.f64 x (log.f64 (/.f64 1 x))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2)) (+.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) x)) (+.f64 (/.f64 x (log.f64 (/.f64 1 x))) (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 2))))))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 3)) (*.f64 1/2 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2)))) (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) (pow.f64 x 2)))))))
(*.f64 -1 (/.f64 x (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)) (*.f64 -1 (/.f64 x (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(+.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3))) x)) (*.f64 -1 (/.f64 x (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) (pow.f64 x 2)))) (+.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3))) x)) (+.f64 (*.f64 -1 (/.f64 x (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3) (pow.f64 x 2)))))))) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3))) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 x 2)))))
(-.f64 0 (/.f64 x (log1p.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (log1p.f64 x)))) 1)
(-.f64 (/.f64 0 (log1p.f64 x)) (/.f64 x (log1p.f64 x)))
(*.f64 x (/.f64 1 (log1p.f64 x)))
(*.f64 x (/.f64 1 (neg.f64 (log1p.f64 x))))
(*.f64 1 (/.f64 x (log1p.f64 x)))
(*.f64 (/.f64 x (log1p.f64 x)) 1)
(*.f64 (sqrt.f64 (/.f64 x (log1p.f64 x))) (sqrt.f64 (/.f64 x (log1p.f64 x))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (log1p.f64 x))))
(*.f64 (cbrt.f64 (/.f64 x (log1p.f64 x))) (pow.f64 (cbrt.f64 (/.f64 x (log1p.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (log1p.f64 x))) 2) (cbrt.f64 (/.f64 x (log1p.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (log1p.f64 x))))
(*.f64 -1 (/.f64 x (log1p.f64 x)))
(*.f64 (/.f64 1 (log1p.f64 x)) x)
(*.f64 (/.f64 1 (sqrt.f64 (log1p.f64 x))) (/.f64 x (sqrt.f64 (log1p.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 x (cbrt.f64 (log1p.f64 x))))
(*.f64 (/.f64 -1 (sqrt.f64 (log1p.f64 x))) (/.f64 x (sqrt.f64 (log1p.f64 x))))
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 x (cbrt.f64 (log1p.f64 x))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (log1p.f64 x)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (log1p.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (log1p.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (log1p.f64 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (log1p.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (/.f64 x (log1p.f64 x))))
(pow.f64 (/.f64 x (log1p.f64 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 x (log1p.f64 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 x (log1p.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 x (log1p.f64 x)) 3) 1/3)
(pow.f64 (/.f64 (log1p.f64 x) x) -1)
(neg.f64 (/.f64 x (log1p.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 x (log1p.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 x (log1p.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (log1p.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 x (log1p.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 x (log1p.f64 x))))
(exp.f64 (log.f64 (/.f64 x (log1p.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (log1p.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 x (log1p.f64 x))))
Outputs
-1
(-.f64 (*.f64 -1/2 x) 1)
(fma.f64 -1/2 x -1)
(-.f64 (+.f64 (*.f64 -1/2 x) (*.f64 1/12 (pow.f64 x 2))) 1)
(+.f64 (fma.f64 -1/2 x (*.f64 1/12 (*.f64 x x))) -1)
(fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) -1))
(fma.f64 -1/2 x (fma.f64 x (*.f64 x 1/12) -1))
(-.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 x) (*.f64 1/12 (pow.f64 x 2)))) 1)
(+.f64 (fma.f64 -1/24 (pow.f64 x 3) (fma.f64 -1/2 x (*.f64 1/12 (*.f64 x x)))) -1)
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) -1)))
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 -1/2 x (fma.f64 x (*.f64 x 1/12) -1)))
(/.f64 x (log.f64 (/.f64 1 x)))
(/.f64 x (neg.f64 (log.f64 x)))
(+.f64 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2)) (/.f64 x (log.f64 (/.f64 1 x))))
(+.f64 (/.f64 x (neg.f64 (log.f64 x))) (/.f64 1 (pow.f64 (neg.f64 (log.f64 x)) 2)))
(+.f64 (/.f64 x (neg.f64 (log.f64 x))) (/.f64 1 (*.f64 (log.f64 x) (log.f64 x))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2)) (+.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) x)) (/.f64 x (log.f64 (/.f64 1 x))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x))))
(+.f64 (/.f64 1 (pow.f64 (neg.f64 (log.f64 x)) 2)) (-.f64 (+.f64 (/.f64 x (neg.f64 (log.f64 x))) (/.f64 1 (*.f64 x (pow.f64 (neg.f64 (log.f64 x)) 3)))) (/.f64 1/2 (*.f64 x (pow.f64 (neg.f64 (log.f64 x)) 2)))))
(+.f64 (/.f64 1 (*.f64 (log.f64 x) (log.f64 x))) (+.f64 (/.f64 x (neg.f64 (log.f64 x))) (-.f64 (/.f64 (/.f64 1 x) (pow.f64 (neg.f64 (log.f64 x)) 3)) (/.f64 (/.f64 1/2 x) (*.f64 (log.f64 x) (log.f64 x))))))
(+.f64 (/.f64 1 (*.f64 (log.f64 x) (log.f64 x))) (+.f64 (/.f64 x (neg.f64 (log.f64 x))) (+.f64 (/.f64 (/.f64 1 x) (pow.f64 (neg.f64 (log.f64 x)) 3)) (/.f64 (/.f64 -1/2 (*.f64 (log.f64 x) (log.f64 x))) x))))
(+.f64 (/.f64 x (neg.f64 (log.f64 x))) (+.f64 (/.f64 (/.f64 1 x) (pow.f64 (neg.f64 (log.f64 x)) 3)) (+.f64 (/.f64 1 (*.f64 (log.f64 x) (log.f64 x))) (/.f64 (/.f64 -1/2 (*.f64 (log.f64 x) (log.f64 x))) x))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2)) (+.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) x)) (+.f64 (/.f64 x (log.f64 (/.f64 1 x))) (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 2))))))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 3)) (*.f64 1/2 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2)))) (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) (pow.f64 x 2)))))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 (neg.f64 (log.f64 x)) 2)) (+.f64 (/.f64 1 (*.f64 x (pow.f64 (neg.f64 (log.f64 x)) 3))) (+.f64 (/.f64 x (neg.f64 (log.f64 x))) (/.f64 1/3 (*.f64 (*.f64 x x) (pow.f64 (neg.f64 (log.f64 x)) 2)))))) (fma.f64 -1 (/.f64 (-.f64 (/.f64 1 (pow.f64 (neg.f64 (log.f64 x)) 3)) (/.f64 1/2 (pow.f64 (neg.f64 (log.f64 x)) 2))) (*.f64 (*.f64 x x) (neg.f64 (log.f64 x)))) (+.f64 (/.f64 1/2 (*.f64 x (pow.f64 (neg.f64 (log.f64 x)) 2))) (/.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (neg.f64 (log.f64 x)) 3))))))
(+.f64 (/.f64 1 (*.f64 (log.f64 x) (log.f64 x))) (+.f64 (/.f64 (/.f64 1 x) (pow.f64 (neg.f64 (log.f64 x)) 3)) (-.f64 (+.f64 (/.f64 x (neg.f64 (log.f64 x))) (/.f64 1/3 (*.f64 (*.f64 x x) (*.f64 (log.f64 x) (log.f64 x))))) (-.f64 (+.f64 (/.f64 (/.f64 1/2 x) (*.f64 (log.f64 x) (log.f64 x))) (/.f64 (/.f64 1/2 (*.f64 x x)) (pow.f64 (neg.f64 (log.f64 x)) 3))) (/.f64 (+.f64 (/.f64 1 (pow.f64 (neg.f64 (log.f64 x)) 3)) (/.f64 -1/2 (*.f64 (log.f64 x) (log.f64 x)))) (*.f64 x (*.f64 x (neg.f64 (log.f64 x)))))))))
(+.f64 (/.f64 1 (*.f64 (log.f64 x) (log.f64 x))) (+.f64 (+.f64 (+.f64 (/.f64 x (neg.f64 (log.f64 x))) (+.f64 (/.f64 (/.f64 1 x) (pow.f64 (neg.f64 (log.f64 x)) 3)) (/.f64 1/3 (*.f64 (*.f64 x x) (*.f64 (log.f64 x) (log.f64 x)))))) (+.f64 (/.f64 (/.f64 -1/2 (*.f64 (log.f64 x) (log.f64 x))) x) (/.f64 -1/2 (*.f64 (*.f64 x x) (pow.f64 (neg.f64 (log.f64 x)) 3))))) (/.f64 (-.f64 (/.f64 (/.f64 -1 (log.f64 x)) (pow.f64 (neg.f64 (log.f64 x)) 3)) (/.f64 1/2 (pow.f64 (neg.f64 (log.f64 x)) 3))) (*.f64 x x))))
(+.f64 (/.f64 1 (*.f64 (log.f64 x) (log.f64 x))) (+.f64 (/.f64 x (neg.f64 (log.f64 x))) (-.f64 (-.f64 (+.f64 (/.f64 (/.f64 1 x) (pow.f64 (neg.f64 (log.f64 x)) 3)) (/.f64 1/3 (*.f64 (*.f64 x x) (*.f64 (log.f64 x) (log.f64 x))))) (/.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (neg.f64 (log.f64 x)) 3)))) (-.f64 (/.f64 (/.f64 1/2 x) (*.f64 (log.f64 x) (log.f64 x))) (/.f64 (-.f64 (/.f64 (/.f64 -1 (log.f64 x)) (pow.f64 (neg.f64 (log.f64 x)) 3)) (/.f64 1/2 (pow.f64 (neg.f64 (log.f64 x)) 3))) (*.f64 x x))))))
(*.f64 -1 (/.f64 x (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(neg.f64 (/.f64 x (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))
(/.f64 (neg.f64 x) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(+.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)) (*.f64 -1 (/.f64 x (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(+.f64 (neg.f64 (/.f64 x (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) (/.f64 1 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2)))
(-.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))
(+.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3))) x)) (*.f64 -1 (/.f64 x (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(+.f64 (/.f64 1 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2)) (*.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2)) (/.f64 1 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 3))) x) (/.f64 x (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))))
(-.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 (+.f64 (/.f64 1/2 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))) x)) (/.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))
(+.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (/.f64 (+.f64 (/.f64 -1/2 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 -1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))) x))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) (pow.f64 x 2)))) (+.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3))) x)) (+.f64 (*.f64 -1 (/.f64 x (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3) (pow.f64 x 2)))))))) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3))) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 1/3 (*.f64 (*.f64 x x) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2))) (+.f64 (/.f64 1 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2)) (fma.f64 -1 (/.f64 (+.f64 (/.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2)) (/.f64 1 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 3))) x) (fma.f64 -1 (/.f64 x (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (/.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 3))))))) (neg.f64 (/.f64 (+.f64 (/.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2)) (/.f64 1 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 3))) (*.f64 (*.f64 x x) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))))
(+.f64 (+.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (-.f64 (-.f64 (/.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))) (/.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (/.f64 (+.f64 (/.f64 1/2 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))) x))) (+.f64 (/.f64 1/3 (*.f64 (*.f64 x x) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))) (/.f64 (+.f64 (/.f64 1/2 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))) (*.f64 (*.f64 x x) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))))
(+.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (-.f64 (+.f64 (-.f64 (/.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))) (/.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (+.f64 (/.f64 (+.f64 (/.f64 -1/2 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 -1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))) x) (/.f64 1/3 (*.f64 (*.f64 x x) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))))) (/.f64 (/.f64 (+.f64 (/.f64 -1/2 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 -1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))) x) (*.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))))
(+.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/2 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 -1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))) x) (-.f64 (/.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))) (/.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (-.f64 (+.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 1/3 (*.f64 (*.f64 x x) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)))) (/.f64 (/.f64 (+.f64 (/.f64 -1/2 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 -1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))) x) (*.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))))
(-.f64 0 (/.f64 x (log1p.f64 x)))
(/.f64 (neg.f64 x) (log1p.f64 x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (log1p.f64 x)))) 1)
(/.f64 x (log1p.f64 x))
(-.f64 (/.f64 0 (log1p.f64 x)) (/.f64 x (log1p.f64 x)))
(/.f64 (neg.f64 x) (log1p.f64 x))
(*.f64 x (/.f64 1 (log1p.f64 x)))
(/.f64 x (log1p.f64 x))
(*.f64 x (/.f64 1 (neg.f64 (log1p.f64 x))))
(/.f64 (neg.f64 x) (log1p.f64 x))
(*.f64 1 (/.f64 x (log1p.f64 x)))
(/.f64 x (log1p.f64 x))
(*.f64 (/.f64 x (log1p.f64 x)) 1)
(/.f64 x (log1p.f64 x))
(*.f64 (sqrt.f64 (/.f64 x (log1p.f64 x))) (sqrt.f64 (/.f64 x (log1p.f64 x))))
(/.f64 x (log1p.f64 x))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (log1p.f64 x))))
(/.f64 x (log1p.f64 x))
(*.f64 (cbrt.f64 (/.f64 x (log1p.f64 x))) (pow.f64 (cbrt.f64 (/.f64 x (log1p.f64 x))) 2))
(/.f64 x (log1p.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (log1p.f64 x))) 2) (cbrt.f64 (/.f64 x (log1p.f64 x))))
(/.f64 x (log1p.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (log1p.f64 x))))
(/.f64 x (log1p.f64 x))
(*.f64 -1 (/.f64 x (log1p.f64 x)))
(/.f64 (neg.f64 x) (log1p.f64 x))
(*.f64 (/.f64 1 (log1p.f64 x)) x)
(/.f64 x (log1p.f64 x))
(*.f64 (/.f64 1 (sqrt.f64 (log1p.f64 x))) (/.f64 x (sqrt.f64 (log1p.f64 x))))
(/.f64 (/.f64 x (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x)))
(/.f64 x (*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 x (cbrt.f64 (log1p.f64 x))))
(/.f64 (/.f64 x (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))
(*.f64 (/.f64 -1 (sqrt.f64 (log1p.f64 x))) (/.f64 x (sqrt.f64 (log1p.f64 x))))
(*.f64 (/.f64 x (sqrt.f64 (log1p.f64 x))) (/.f64 -1 (sqrt.f64 (log1p.f64 x))))
(/.f64 (/.f64 (neg.f64 x) (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x)))
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 x (cbrt.f64 (log1p.f64 x))))
(*.f64 (/.f64 x (cbrt.f64 (log1p.f64 x))) (/.f64 -1 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)))
(/.f64 (/.f64 (neg.f64 x) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (log1p.f64 x)))
(/.f64 (/.f64 (neg.f64 x) (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (log1p.f64 x)))
(/.f64 x (log1p.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (log1p.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 x (cbrt.f64 (log1p.f64 x))))
(/.f64 (/.f64 x (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (log1p.f64 x)))
(/.f64 x (log1p.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (log1p.f64 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (log1p.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (log1p.f64 x))) (/.f64 x (sqrt.f64 (log1p.f64 x))))
(/.f64 (/.f64 x (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x)))
(/.f64 x (*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (/.f64 x (log1p.f64 x))))
(*.f64 (cbrt.f64 (/.f64 x (log1p.f64 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 x (log1p.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))
(pow.f64 (/.f64 x (log1p.f64 x)) 1)
(/.f64 x (log1p.f64 x))
(pow.f64 (sqrt.f64 (/.f64 x (log1p.f64 x))) 2)
(/.f64 x (log1p.f64 x))
(pow.f64 (cbrt.f64 (/.f64 x (log1p.f64 x))) 3)
(/.f64 x (log1p.f64 x))
(pow.f64 (pow.f64 (/.f64 x (log1p.f64 x)) 3) 1/3)
(/.f64 x (log1p.f64 x))
(pow.f64 (/.f64 (log1p.f64 x) x) -1)
(/.f64 x (log1p.f64 x))
(neg.f64 (/.f64 x (log1p.f64 x)))
(/.f64 (neg.f64 x) (log1p.f64 x))
(sqrt.f64 (pow.f64 (/.f64 x (log1p.f64 x)) 2))
(/.f64 x (log1p.f64 x))
(log.f64 (exp.f64 (/.f64 x (log1p.f64 x))))
(/.f64 x (log1p.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (log1p.f64 x)))))
(/.f64 x (log1p.f64 x))
(cbrt.f64 (pow.f64 (/.f64 x (log1p.f64 x)) 3))
(/.f64 x (log1p.f64 x))
(expm1.f64 (log1p.f64 (/.f64 x (log1p.f64 x))))
(/.f64 x (log1p.f64 x))
(exp.f64 (log.f64 (/.f64 x (log1p.f64 x))))
(/.f64 x (log1p.f64 x))
(exp.f64 (*.f64 (log.f64 (/.f64 x (log1p.f64 x))) 1))
(/.f64 x (log1p.f64 x))
(log1p.f64 (expm1.f64 (/.f64 x (log1p.f64 x))))
(/.f64 x (log1p.f64 x))

localize43.0ms (0.5%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log.f64 (+.f64 1 x)))
6.6b
(log.f64 (+.f64 1 x))
Compiler

Compiled 38 to 25 computations (34.2% saved)

series3.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite65.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1828×associate-*r/
1478×associate-/r*
1450×associate-*l/
262×add-sqr-sqrt
254×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01229
125929
2350429
Stop Event
node limit
Counts
1 → 35
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log.f64 (+.f64 1 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (/.f64 (log1p.f64 x) (*.f64 x -1/2))) (neg.f64 (/.f64 x (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 x (log1p.f64 x))) (/.f64 x (/.f64 (log1p.f64 x) (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (/.f64 (log1p.f64 x) (*.f64 x -1/2))) (/.f64 x (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (/.f64 1 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x))) (sqrt.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x)) (*.f64 (sqrt.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x)) (/.f64 1 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x))) 2) (cbrt.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x)) 2) (*.f64 (cbrt.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x)) (/.f64 1 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log1p.f64 x)) (-.f64 (*.f64 x (*.f64 x -1/2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x)) (/.f64 -1 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (log1p.f64 x))) (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (sqrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (cbrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x)) 1) (/.f64 (sqrt.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x)) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (sqrt.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x)) (cbrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x)) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x)) 2) (sqrt.f64 (log1p.f64 x))) (/.f64 (cbrt.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x)) (sqrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x)) 2) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log1p.f64 x) (-.f64 (*.f64 x (*.f64 x -1/2)) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (neg.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x))))))))

simplify87.0ms (1.1%)

Algorithm
egg-herbie
Rules
952×associate-+r+
788×associate-*r/
732×associate-+l+
722×associate-/r*
664×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01873083
15272625
219552579
Stop Event
node limit
Counts
47 → 89
Calls
Call 1
Inputs
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(-.f64 (+.f64 (*.f64 1/180 (pow.f64 x 4)) (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (*.f64 -1 x))) 1)
(*.f64 1/2 (/.f64 (pow.f64 x 2) (log.f64 (/.f64 1 x))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (log.f64 (/.f64 1 x)))) (*.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2))) (/.f64 1 (log.f64 (/.f64 1 x)))) x))
(+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 3))) (+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (log.f64 (/.f64 1 x)))) (*.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2))) (/.f64 1 (log.f64 (/.f64 1 x)))) x))))
(+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 3))) (+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 4) x))) (+.f64 (*.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2))) (/.f64 1 (log.f64 (/.f64 1 x)))) x) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2))) (/.f64 1 (log.f64 (/.f64 1 x)))) (*.f64 (log.f64 (/.f64 1 x)) x))) (+.f64 (*.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x))) (*.f64 3/4 (/.f64 1 (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) x))))))))))
(*.f64 -1/2 (/.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)))) x)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 -1 (*.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)))) x)) (*.f64 -1 (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 1/4 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)))))))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)))) (*.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) x))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 -1 (*.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)))) x)) (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 1/4 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)))) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3) x))) (*.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) x)))))))))
(+.f64 (/.f64 x (/.f64 (log1p.f64 x) (*.f64 x -1/2))) (neg.f64 (/.f64 x (log1p.f64 x))))
(+.f64 (neg.f64 (/.f64 x (log1p.f64 x))) (/.f64 x (/.f64 (log1p.f64 x) (*.f64 x -1/2))))
(-.f64 (/.f64 x (/.f64 (log1p.f64 x) (*.f64 x -1/2))) (/.f64 x (log1p.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x)))) 1)
(*.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (/.f64 1 (log1p.f64 x)))
(*.f64 1 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x)))
(*.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x)) 1)
(*.f64 (sqrt.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x))) (sqrt.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x))))
(*.f64 (sqrt.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x)) (*.f64 (sqrt.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x)) (/.f64 1 (log1p.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x))) 2) (cbrt.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x)) 2) (*.f64 (cbrt.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x)) (/.f64 1 (log1p.f64 x))))
(*.f64 (/.f64 1 (log1p.f64 x)) (-.f64 (*.f64 x (*.f64 x -1/2)) x))
(*.f64 (neg.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x)) (/.f64 -1 (log1p.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 (log1p.f64 x))) (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (sqrt.f64 (log1p.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (cbrt.f64 (log1p.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x)) 1) (/.f64 (sqrt.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x)) (log1p.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (sqrt.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x)) (cbrt.f64 (log1p.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x)) (log1p.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x)) 2) (sqrt.f64 (log1p.f64 x))) (/.f64 (cbrt.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x)) (sqrt.f64 (log1p.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x)) 2) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x))))
(pow.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x)) 3) 1/3)
(pow.f64 (/.f64 (log1p.f64 x) (-.f64 (*.f64 x (*.f64 x -1/2)) x)) -1)
(neg.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (neg.f64 (log1p.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x))))
(exp.f64 (log.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x))))
Outputs
-1
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
(-.f64 -1 x)
(-.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(+.f64 (fma.f64 -1/6 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 -1/6 (*.f64 x x) (fma.f64 -1 x -1))
(fma.f64 -1/6 (*.f64 x x) (-.f64 -1 x))
(-.f64 (+.f64 (*.f64 1/180 (pow.f64 x 4)) (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (*.f64 -1 x))) 1)
(+.f64 (fma.f64 1/180 (pow.f64 x 4) (fma.f64 -1/6 (*.f64 x x) (neg.f64 x))) -1)
(fma.f64 1/180 (pow.f64 x 4) (fma.f64 -1/6 (*.f64 x x) (fma.f64 -1 x -1)))
(fma.f64 1/180 (pow.f64 x 4) (fma.f64 -1/6 (*.f64 x x) (-.f64 -1 x)))
(*.f64 1/2 (/.f64 (pow.f64 x 2) (log.f64 (/.f64 1 x))))
(*.f64 1/2 (/.f64 (*.f64 x x) (neg.f64 (log.f64 x))))
(*.f64 1/2 (/.f64 x (/.f64 (neg.f64 (log.f64 x)) x)))
(*.f64 -1/2 (/.f64 (*.f64 x x) (log.f64 x)))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (log.f64 (/.f64 1 x)))) (*.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2))) (/.f64 1 (log.f64 (/.f64 1 x)))) x))
(fma.f64 1/2 (/.f64 (*.f64 x x) (neg.f64 (log.f64 x))) (*.f64 x (+.f64 (/.f64 1/2 (pow.f64 (neg.f64 (log.f64 x)) 2)) (/.f64 1 (neg.f64 (log.f64 x))))))
(fma.f64 x (+.f64 (/.f64 1/2 (*.f64 (log.f64 x) (log.f64 x))) (/.f64 1 (neg.f64 (log.f64 x)))) (*.f64 1/2 (/.f64 x (/.f64 (neg.f64 (log.f64 x)) x))))
(fma.f64 x (+.f64 (/.f64 1/2 (*.f64 (log.f64 x) (log.f64 x))) (/.f64 -1 (log.f64 x))) (*.f64 -1/2 (/.f64 (*.f64 x x) (log.f64 x))))
(+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 3))) (+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (log.f64 (/.f64 1 x)))) (*.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2))) (/.f64 1 (log.f64 (/.f64 1 x)))) x))))
(+.f64 (/.f64 1/2 (pow.f64 (neg.f64 (log.f64 x)) 3)) (+.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (neg.f64 (log.f64 x))) (*.f64 x (+.f64 (/.f64 1/2 (pow.f64 (neg.f64 (log.f64 x)) 2)) (/.f64 1 (neg.f64 (log.f64 x)))))) (/.f64 3/4 (pow.f64 (neg.f64 (log.f64 x)) 2))))
(+.f64 (fma.f64 x (+.f64 (/.f64 1/2 (*.f64 (log.f64 x) (log.f64 x))) (/.f64 1 (neg.f64 (log.f64 x)))) (*.f64 1/2 (/.f64 x (/.f64 (neg.f64 (log.f64 x)) x)))) (+.f64 (/.f64 1/2 (pow.f64 (neg.f64 (log.f64 x)) 3)) (/.f64 3/4 (*.f64 (log.f64 x) (log.f64 x)))))
(+.f64 (fma.f64 x (+.f64 (/.f64 1/2 (*.f64 (log.f64 x) (log.f64 x))) (/.f64 -1 (log.f64 x))) (*.f64 -1/2 (/.f64 (*.f64 x x) (log.f64 x)))) (+.f64 (/.f64 1/2 (pow.f64 (neg.f64 (log.f64 x)) 3)) (/.f64 3/4 (*.f64 (log.f64 x) (log.f64 x)))))
(+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 3))) (+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 4) x))) (+.f64 (*.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2))) (/.f64 1 (log.f64 (/.f64 1 x)))) x) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2))) (/.f64 1 (log.f64 (/.f64 1 x)))) (*.f64 (log.f64 (/.f64 1 x)) x))) (+.f64 (*.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x))) (*.f64 3/4 (/.f64 1 (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) x))))))))))
(+.f64 (/.f64 1/2 (pow.f64 (neg.f64 (log.f64 x)) 3)) (+.f64 (/.f64 3/4 (pow.f64 (neg.f64 (log.f64 x)) 2)) (fma.f64 1/2 (/.f64 (*.f64 x x) (neg.f64 (log.f64 x))) (+.f64 (/.f64 1/2 (*.f64 x (pow.f64 (neg.f64 (log.f64 x)) 4))) (fma.f64 (+.f64 (/.f64 1/2 (pow.f64 (neg.f64 (log.f64 x)) 2)) (/.f64 1 (neg.f64 (log.f64 x)))) x (fma.f64 -1/2 (/.f64 (+.f64 (/.f64 1/2 (pow.f64 (neg.f64 (log.f64 x)) 2)) (/.f64 1 (neg.f64 (log.f64 x)))) (*.f64 x (neg.f64 (log.f64 x)))) (+.f64 (/.f64 1/6 (*.f64 x (pow.f64 (neg.f64 (log.f64 x)) 2))) (/.f64 3/4 (*.f64 x (pow.f64 (neg.f64 (log.f64 x)) 3))))))))))
(+.f64 (/.f64 3/4 (*.f64 (log.f64 x) (log.f64 x))) (+.f64 (+.f64 (fma.f64 x (+.f64 (/.f64 1/2 (*.f64 (log.f64 x) (log.f64 x))) (/.f64 1 (neg.f64 (log.f64 x)))) (fma.f64 -1/2 (/.f64 (+.f64 (/.f64 1/2 (*.f64 (log.f64 x) (log.f64 x))) (/.f64 1 (neg.f64 (log.f64 x)))) (neg.f64 (*.f64 (log.f64 x) x))) (+.f64 (/.f64 1/6 (*.f64 x (*.f64 (log.f64 x) (log.f64 x)))) (/.f64 3/4 (*.f64 x (pow.f64 (neg.f64 (log.f64 x)) 3)))))) (fma.f64 1/2 (/.f64 x (/.f64 (neg.f64 (log.f64 x)) x)) (/.f64 1/2 (*.f64 x (pow.f64 (neg.f64 (log.f64 x)) 4))))) (/.f64 1/2 (pow.f64 (neg.f64 (log.f64 x)) 3))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 x x) (log.f64 x))) (+.f64 (/.f64 3/4 (*.f64 (log.f64 x) (log.f64 x))) (+.f64 (/.f64 1/2 (pow.f64 (neg.f64 (log.f64 x)) 3)) (+.f64 (fma.f64 x (+.f64 (/.f64 1/2 (*.f64 (log.f64 x) (log.f64 x))) (/.f64 -1 (log.f64 x))) (/.f64 (+.f64 (/.f64 -1/4 (*.f64 (log.f64 x) (log.f64 x))) (/.f64 1/2 (log.f64 x))) (*.f64 x (neg.f64 (log.f64 x))))) (+.f64 (/.f64 1/2 (*.f64 x (pow.f64 (neg.f64 (log.f64 x)) 4))) (+.f64 (/.f64 (/.f64 1/6 (*.f64 (log.f64 x) (log.f64 x))) x) (/.f64 3/4 (*.f64 x (pow.f64 (neg.f64 (log.f64 x)) 3)))))))))
(*.f64 -1/2 (/.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(*.f64 -1/2 (/.f64 (*.f64 x x) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))
(/.f64 -1/2 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (*.f64 x x)))
(/.f64 (*.f64 x x) (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) -1/2))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)))) x)))
(fma.f64 -1/2 (/.f64 (*.f64 x x) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (neg.f64 (*.f64 x (-.f64 (/.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (/.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2))))))
(-.f64 (/.f64 -1/2 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (*.f64 x x))) (*.f64 x (-.f64 (/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (/.f64 1/2 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)))))
(fma.f64 (+.f64 (/.f64 1/2 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 -1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) x (/.f64 (*.f64 x x) (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) -1/2)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 -1 (*.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)))) x)) (*.f64 -1 (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 1/4 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)))))))
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(*.f64 (/.f64 x (log1p.f64 x)) (+.f64 -1 (*.f64 x -1/2)))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x))) 3)
(-.f64 (*.f64 (/.f64 x (log1p.f64 x)) (*.f64 x -1/2)) (/.f64 x (log1p.f64 x)))
(/.f64 (fma.f64 (*.f64 x x) -1/2 (neg.f64 x)) (log1p.f64 x))
(*.f64 (/.f64 x (log1p.f64 x)) (+.f64 -1 (*.f64 x -1/2)))
(pow.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x)) 3) 1/3)
(-.f64 (*.f64 (/.f64 x (log1p.f64 x)) (*.f64 x -1/2)) (/.f64 x (log1p.f64 x)))
(/.f64 (fma.f64 (*.f64 x x) -1/2 (neg.f64 x)) (log1p.f64 x))
(*.f64 (/.f64 x (log1p.f64 x)) (+.f64 -1 (*.f64 x -1/2)))
(pow.f64 (/.f64 (log1p.f64 x) (-.f64 (*.f64 x (*.f64 x -1/2)) x)) -1)
(-.f64 (*.f64 (/.f64 x (log1p.f64 x)) (*.f64 x -1/2)) (/.f64 x (log1p.f64 x)))
(/.f64 (fma.f64 (*.f64 x x) -1/2 (neg.f64 x)) (log1p.f64 x))
(*.f64 (/.f64 x (log1p.f64 x)) (+.f64 -1 (*.f64 x -1/2)))
(neg.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (neg.f64 (log1p.f64 x))))
(-.f64 (*.f64 (/.f64 x (log1p.f64 x)) (*.f64 x -1/2)) (/.f64 x (log1p.f64 x)))
(/.f64 (fma.f64 (*.f64 x x) -1/2 (neg.f64 x)) (log1p.f64 x))
(*.f64 (/.f64 x (log1p.f64 x)) (+.f64 -1 (*.f64 x -1/2)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x)) 2))
(-.f64 (*.f64 (/.f64 x (log1p.f64 x)) (*.f64 x -1/2)) (/.f64 x (log1p.f64 x)))
(/.f64 (fma.f64 (*.f64 x x) -1/2 (neg.f64 x)) (log1p.f64 x))
(*.f64 (/.f64 x (log1p.f64 x)) (+.f64 -1 (*.f64 x -1/2)))
(log.f64 (exp.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x))))
(-.f64 (*.f64 (/.f64 x (log1p.f64 x)) (*.f64 x -1/2)) (/.f64 x (log1p.f64 x)))
(/.f64 (fma.f64 (*.f64 x x) -1/2 (neg.f64 x)) (log1p.f64 x))
(*.f64 (/.f64 x (log1p.f64 x)) (+.f64 -1 (*.f64 x -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x)))))
(-.f64 (*.f64 (/.f64 x (log1p.f64 x)) (*.f64 x -1/2)) (/.f64 x (log1p.f64 x)))
(/.f64 (fma.f64 (*.f64 x x) -1/2 (neg.f64 x)) (log1p.f64 x))
(*.f64 (/.f64 x (log1p.f64 x)) (+.f64 -1 (*.f64 x -1/2)))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x)) 3))
(-.f64 (*.f64 (/.f64 x (log1p.f64 x)) (*.f64 x -1/2)) (/.f64 x (log1p.f64 x)))
(/.f64 (fma.f64 (*.f64 x x) -1/2 (neg.f64 x)) (log1p.f64 x))
(*.f64 (/.f64 x (log1p.f64 x)) (+.f64 -1 (*.f64 x -1/2)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x))))
(-.f64 (*.f64 (/.f64 x (log1p.f64 x)) (*.f64 x -1/2)) (/.f64 x (log1p.f64 x)))
(/.f64 (fma.f64 (*.f64 x x) -1/2 (neg.f64 x)) (log1p.f64 x))
(*.f64 (/.f64 x (log1p.f64 x)) (+.f64 -1 (*.f64 x -1/2)))
(exp.f64 (log.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x))))
(-.f64 (*.f64 (/.f64 x (log1p.f64 x)) (*.f64 x -1/2)) (/.f64 x (log1p.f64 x)))
(/.f64 (fma.f64 (*.f64 x x) -1/2 (neg.f64 x)) (log1p.f64 x))
(*.f64 (/.f64 x (log1p.f64 x)) (+.f64 -1 (*.f64 x -1/2)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x))) 1))
(-.f64 (*.f64 (/.f64 x (log1p.f64 x)) (*.f64 x -1/2)) (/.f64 x (log1p.f64 x)))
(/.f64 (fma.f64 (*.f64 x x) -1/2 (neg.f64 x)) (log1p.f64 x))
(*.f64 (/.f64 x (log1p.f64 x)) (+.f64 -1 (*.f64 x -1/2)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x))))
(-.f64 (*.f64 (/.f64 x (log1p.f64 x)) (*.f64 x -1/2)) (/.f64 x (log1p.f64 x)))
(/.f64 (fma.f64 (*.f64 x x) -1/2 (neg.f64 x)) (log1p.f64 x))
(*.f64 (/.f64 x (log1p.f64 x)) (+.f64 -1 (*.f64 x -1/2)))

eval158.0ms (1.9%)

Compiler

Compiled 7919 to 5223 computations (34% saved)

prune79.0ms (1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New3443347
Fresh011
Picked101
Done123
Total3466352
Error
0b
Counts
352 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
0.2b
(fma.f64 -1/6 (*.f64 x x) (-.f64 -1 x))
0.6b
(/.f64 (neg.f64 x) (log1p.f64 x))
0.0b
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
0.6b
(-.f64 (*.f64 -1/2 x) 1)
0.2b
(-.f64 -1 x)
0.6b
-1
Compiler

Compiled 34 to 25 computations (26.5% saved)

localize43.0ms (0.5%)

Compiler

Compiled 12 to 9 computations (25% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (neg.f64 x) (log1p.f64 x))
Compiler

Compiled 11 to 4 computations (63.6% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite58.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1284×add-sqr-sqrt
1272×*-un-lft-identity
1184×add-cube-cbrt
1168×add-cbrt-cube
1154×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0715
114711
2201511
Stop Event
node limit
Counts
1 → 35
Calls
Call 1
Inputs
(/.f64 (neg.f64 x) (log1p.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 x (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (log1p.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (log1p.f64 x)) (/.f64 x (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (neg.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (log1p.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (log1p.f64 x))) (sqrt.f64 (/.f64 x (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (log1p.f64 x))) (pow.f64 (cbrt.f64 (/.f64 x (log1p.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (log1p.f64 x))) 2) (cbrt.f64 (/.f64 x (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 x (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log1p.f64 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (log1p.f64 x))) (/.f64 x (sqrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 x (cbrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (log1p.f64 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (/.f64 x (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 (log1p.f64 x))) (/.f64 x (sqrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 x (cbrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (log1p.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (log1p.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (log1p.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (log1p.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log1p.f64 x) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (log1p.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (log1p.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (log1p.f64 x))))))))

simplify72.0ms (0.9%)

Algorithm
egg-herbie
Rules
1198×+-commutative
1072×associate--r+
930×associate-/r*
700×associate-*r/
592×unswap-sqr
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01642037
14471811
218271669
371741669
Stop Event
node limit
Counts
47 → 89
Calls
Call 1
Inputs
-1
(-.f64 (*.f64 -1/2 x) 1)
(-.f64 (+.f64 (*.f64 -1/2 x) (*.f64 1/12 (pow.f64 x 2))) 1)
(-.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 x) (*.f64 1/12 (pow.f64 x 2)))) 1)
(/.f64 x (log.f64 (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2)) (/.f64 x (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2)) (+.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) x)) (/.f64 x (log.f64 (/.f64 1 x))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2)) (+.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) x)) (+.f64 (/.f64 x (log.f64 (/.f64 1 x))) (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 2))))))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 3)) (*.f64 1/2 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2)))) (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) (pow.f64 x 2)))))))
(*.f64 -1 (/.f64 x (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)) (*.f64 -1 (/.f64 x (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(+.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3))) x)) (*.f64 -1 (/.f64 x (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) (pow.f64 x 2)))) (+.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3))) x)) (+.f64 (*.f64 -1 (/.f64 x (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3) (pow.f64 x 2)))))))) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3))) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 x 2)))))
(-.f64 0 (/.f64 x (log1p.f64 x)))
(-.f64 (+.f64 1 (/.f64 x (log1p.f64 x))) 1)
(-.f64 (/.f64 0 (log1p.f64 x)) (/.f64 x (log1p.f64 x)))
(*.f64 x (/.f64 1 (log1p.f64 x)))
(*.f64 x (/.f64 1 (neg.f64 (log1p.f64 x))))
(*.f64 (/.f64 x (log1p.f64 x)) 1)
(*.f64 1 (/.f64 x (log1p.f64 x)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (log1p.f64 x))))
(*.f64 (sqrt.f64 (/.f64 x (log1p.f64 x))) (sqrt.f64 (/.f64 x (log1p.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (log1p.f64 x))))
(*.f64 (cbrt.f64 (/.f64 x (log1p.f64 x))) (pow.f64 (cbrt.f64 (/.f64 x (log1p.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (log1p.f64 x))) 2) (cbrt.f64 (/.f64 x (log1p.f64 x))))
(*.f64 -1 (/.f64 x (log1p.f64 x)))
(*.f64 (/.f64 1 (log1p.f64 x)) x)
(*.f64 (/.f64 1 (sqrt.f64 (log1p.f64 x))) (/.f64 x (sqrt.f64 (log1p.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 x (cbrt.f64 (log1p.f64 x))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (log1p.f64 x)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (log1p.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (log1p.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (log1p.f64 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (log1p.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (/.f64 x (log1p.f64 x))))
(*.f64 (/.f64 -1 (sqrt.f64 (log1p.f64 x))) (/.f64 x (sqrt.f64 (log1p.f64 x))))
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 x (cbrt.f64 (log1p.f64 x))))
(pow.f64 (/.f64 x (log1p.f64 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 x (log1p.f64 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 x (log1p.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 x (log1p.f64 x)) 3) 1/3)
(pow.f64 (/.f64 (log1p.f64 x) x) -1)
(neg.f64 (/.f64 x (log1p.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 x (log1p.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 x (log1p.f64 x))))
(cbrt.f64 (pow.f64 (/.f64 x (log1p.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 x (log1p.f64 x))))
(exp.f64 (log.f64 (/.f64 x (log1p.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 x (log1p.f64 x))))
Outputs
-1
(-.f64 (*.f64 -1/2 x) 1)
(fma.f64 -1/2 x -1)
(-.f64 (+.f64 (*.f64 -1/2 x) (*.f64 1/12 (pow.f64 x 2))) 1)
(+.f64 (fma.f64 -1/2 x (*.f64 1/12 (*.f64 x x))) -1)
(fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) -1))
(-.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 x) (*.f64 1/12 (pow.f64 x 2)))) 1)
(+.f64 (fma.f64 -1/24 (pow.f64 x 3) (fma.f64 -1/2 x (*.f64 1/12 (*.f64 x x)))) -1)
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) -1)))
(/.f64 x (log.f64 (/.f64 1 x)))
(/.f64 x (neg.f64 (log.f64 x)))
(+.f64 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2)) (/.f64 x (log.f64 (/.f64 1 x))))
(+.f64 (/.f64 x (neg.f64 (log.f64 x))) (/.f64 1 (pow.f64 (neg.f64 (log.f64 x)) 2)))
(+.f64 (/.f64 x (neg.f64 (log.f64 x))) (/.f64 1 (*.f64 (log.f64 x) (log.f64 x))))
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(/.f64 x (log1p.f64 x))
(pow.f64 (pow.f64 (/.f64 x (log1p.f64 x)) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 x (log1p.f64 x)) 1))
(+.f64 (/.f64 x (log1p.f64 x)) 0)
(/.f64 x (log1p.f64 x))
(pow.f64 (/.f64 (log1p.f64 x) x) -1)
(+.f64 1 (-.f64 (/.f64 x (log1p.f64 x)) 1))
(+.f64 (/.f64 x (log1p.f64 x)) 0)
(/.f64 x (log1p.f64 x))
(neg.f64 (/.f64 x (log1p.f64 x)))
(/.f64 (neg.f64 x) (log1p.f64 x))
(sqrt.f64 (pow.f64 (/.f64 x (log1p.f64 x)) 2))
(+.f64 1 (-.f64 (/.f64 x (log1p.f64 x)) 1))
(+.f64 (/.f64 x (log1p.f64 x)) 0)
(/.f64 x (log1p.f64 x))
(log.f64 (exp.f64 (/.f64 x (log1p.f64 x))))
(+.f64 1 (-.f64 (/.f64 x (log1p.f64 x)) 1))
(+.f64 (/.f64 x (log1p.f64 x)) 0)
(/.f64 x (log1p.f64 x))
(cbrt.f64 (pow.f64 (/.f64 x (log1p.f64 x)) 3))
(+.f64 1 (-.f64 (/.f64 x (log1p.f64 x)) 1))
(+.f64 (/.f64 x (log1p.f64 x)) 0)
(/.f64 x (log1p.f64 x))
(expm1.f64 (log1p.f64 (/.f64 x (log1p.f64 x))))
(+.f64 1 (-.f64 (/.f64 x (log1p.f64 x)) 1))
(+.f64 (/.f64 x (log1p.f64 x)) 0)
(/.f64 x (log1p.f64 x))
(exp.f64 (log.f64 (/.f64 x (log1p.f64 x))))
(+.f64 1 (-.f64 (/.f64 x (log1p.f64 x)) 1))
(+.f64 (/.f64 x (log1p.f64 x)) 0)
(/.f64 x (log1p.f64 x))
(log1p.f64 (expm1.f64 (/.f64 x (log1p.f64 x))))
(+.f64 1 (-.f64 (/.f64 x (log1p.f64 x)) 1))
(+.f64 (/.f64 x (log1p.f64 x)) 0)
(/.f64 x (log1p.f64 x))

localize7.0ms (0.1%)

Compiler

Compiled 18 to 10 computations (44.4% saved)

eval70.0ms (0.9%)

Compiler

Compiled 2108 to 1369 computations (35.1% saved)

prune12.0ms (0.2%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New89089
Fresh011
Picked011
Done044
Total89695
Error
0b
Counts
95 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
0.2b
(fma.f64 -1/6 (*.f64 x x) (-.f64 -1 x))
0.6b
(/.f64 (neg.f64 x) (log1p.f64 x))
0.0b
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
0.6b
(-.f64 (*.f64 -1/2 x) 1)
0.2b
(-.f64 -1 x)
0.6b
-1
Compiler

Compiled 34 to 25 computations (26.5% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune2.0ms (0%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done055
Total066
Error
0b
Counts
6 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
0.2b
(fma.f64 -1/6 (*.f64 x x) (-.f64 -1 x))
0.6b
(/.f64 (neg.f64 x) (log1p.f64 x))
0.0b
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
0.6b
(-.f64 (*.f64 -1/2 x) 1)
0.2b
(-.f64 -1 x)
0.6b
-1
Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes12.0ms (0.2%)

Counts
9 → 1
Calls
Call 1
Inputs
-1
(-.f64 -1 x)
(-.f64 (*.f64 -1/2 x) 1)
(/.f64 (neg.f64 x) (log1p.f64 x))
(/.f64 (neg.f64 x) (log.f64 (+.f64 1 x)))
(fma.f64 -1/6 (*.f64 x x) (-.f64 -1 x))
(/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log.f64 (+.f64 1 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
Outputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
Calls

2 calls:

5.0ms
x
2.0ms
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
Results
ErrorSegmentsBranch
0.0b1x
0.0b1(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
Compiler

Compiled 69 to 46 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts
7 → 1
Calls
Call 1
Inputs
-1
(-.f64 -1 x)
(-.f64 (*.f64 -1/2 x) 1)
(/.f64 (neg.f64 x) (log1p.f64 x))
(/.f64 (neg.f64 x) (log.f64 (+.f64 1 x)))
(fma.f64 -1/6 (*.f64 x x) (-.f64 -1 x))
(/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log.f64 (+.f64 1 x)))
Outputs
(fma.f64 -1/6 (*.f64 x x) (-.f64 -1 x))
Calls

1 calls:

4.0ms
x
Results
ErrorSegmentsBranch
0.2b1x
Compiler

Compiled 44 to 29 computations (34.1% saved)

regimes31.0ms (0.4%)

Accuracy

Total -62.8b remaining (-30849.1%)

Threshold costs -62.8b (-30849.1%)

Counts
5 → 1
Calls
Call 1
Inputs
-1
(-.f64 -1 x)
(-.f64 (*.f64 -1/2 x) 1)
(/.f64 (neg.f64 x) (log1p.f64 x))
(/.f64 (neg.f64 x) (log.f64 (+.f64 1 x)))
Outputs
(-.f64 -1 x)
Calls

1 calls:

30.0ms
x
Results
ErrorSegmentsBranch
0.2b1x
Compiler

Compiled 24 to 16 computations (33.3% saved)

simplify5.0ms (0.1%)

Algorithm
egg-herbie
Rules
sub-neg
+-commutative
neg-mul-1
*-commutative
neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01448
11848
22148
32248
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(fma.f64 -1/6 (*.f64 x x) (-.f64 -1 x))
(-.f64 -1 x)
-1
Outputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(fma.f64 -1/6 (*.f64 x x) (-.f64 -1 x))
(-.f64 -1 x)
-1
Compiler

Compiled 22 to 16 computations (27.3% saved)

soundness16.0ms (0.2%)

Algorithm
egg-herbie
Rules
18×+-commutative
12×fma-def
12×associate-+l-
sub-neg
associate-+r-
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01021
11619
22119
32819
43519
54519
66419
77819
88219
Stop Event
saturated
Compiler

Compiled 34 to 23 computations (32.4% saved)

end27.0ms (0.3%)

Compiler

Compiled 19 to 13 computations (31.6% saved)

Profiling

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