Hyperbolic arc-(co)tangent

Time bar (total: 7.2s)

analyze4.0ms (0.1%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
0%0%50%0%0%50%0%3
50%25%25%0%0%50%0%4
75%37.5%12.5%0%0%50%0%5
87.5%43.7%6.2%0%0%50%0%6
93.8%46.9%3.1%0%0%50%0%7
96.9%48.4%1.6%0%0%50%0%8
98.4%49.2%0.8%0%0%50%0%9
99.2%49.6%0.4%0%0%50%0%10
99.6%49.8%0.2%0%0%50%0%11
99.8%49.9%0.1%0%0%50%0%12
Compiler

Compiled 14 to 12 computations (14.3% saved)

sample3.3s (46.4%)

Results
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4.0ms1024valid
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1.0ms2048valid
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Bogosity

preprocess832.0ms (11.6%)

Algorithm
egg-herbie
Rules
1946×fma-def
1402×fma-neg
1276×associate-+r+
794×distribute-lft-in
714×unsub-neg
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2550-0-(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
00-0-x
00-0-(+.f64 1 x)
00-0-(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
00-0-(/.f64 (+.f64 1 x) (-.f64 1 x))
00-0-(/.f64 1 2)
00-0-(-.f64 1 x)
00-0-2
00-0-1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022144
151124
285124
3168124
4391124
5915124
62246124
73420124
84980124
95860124
106148124
116388124
126525124
136639124
146926124
157106124
167192124
177503124
187623124
197651124
207671124
217679124
227679124
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 (neg.f64 x)) (-.f64 1 (neg.f64 x)))))
(neg.f64 (*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 (neg.f64 x)) (-.f64 1 (neg.f64 x))))))
Outputs
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 (neg.f64 x)) (-.f64 1 (neg.f64 x)))))
(*.f64 1/2 (log.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x)))))
(*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(*.f64 -1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(neg.f64 (*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 (neg.f64 x)) (-.f64 1 (neg.f64 x))))))
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
Symmetry

(negabs x)

Compiler

Compiled 95 to 75 computations (21.1% saved)

eval1.0ms (0%)

Compiler

Compiled 19 to 15 computations (21.1% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
8.1%
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
Compiler

Compiled 20 to 16 computations (20% saved)

localize231.0ms (3.2%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
100.0%
(log1p.f64 x)
100.0%
(/.f64 (+.f64 1 x) (-.f64 1 x))
8.1%
(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
Compiler

Compiled 59 to 34 computations (42.4% saved)

series4.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

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

rewrite220.0ms (3.1%)

Algorithm
batch-egg-rewrite
Rules
1028×unpow-prod-down
719×log1p-expm1-u
718×expm1-log1p-u
696×log-prod
432×pow-prod-down
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01260
114658
2191958
Stop Event
node limit
Counts
3 → 253
Calls
Call 1
Inputs
(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(log1p.f64 x)
Outputs
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 0)
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (neg.f64 x)))) (sqrt.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 (neg.f64 x))))
(+.f64 (log1p.f64 x) (neg.f64 (log1p.f64 (neg.f64 x))))
(+.f64 0 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(+.f64 (neg.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 x))
(+.f64 (*.f64 2 (*.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (*.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(+.f64 (*.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) (*.f64 2 (*.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(+.f64 (*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) (*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(+.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 x))) (log.f64 (*.f64 (cbrt.f64 (+.f64 1 x)) (/.f64 1 (-.f64 1 x)))))
(+.f64 (*.f64 1/2 (log1p.f64 x)) (log.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 1 (-.f64 1 x)))))
(+.f64 (log.f64 (fma.f64 -1 x -1)) (log.f64 (/.f64 1 (neg.f64 (-.f64 1 x)))))
(+.f64 (fma.f64 1 (log1p.f64 x) (neg.f64 (*.f64 (log1p.f64 (neg.f64 x)) 1))) (fma.f64 (neg.f64 (log1p.f64 (neg.f64 x))) 1 (*.f64 (log1p.f64 (neg.f64 x)) 1)))
(+.f64 (fma.f64 1 (log1p.f64 x) (neg.f64 (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (cbrt.f64 (log1p.f64 (neg.f64 x))))))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (neg.f64 x)))) (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (cbrt.f64 (log1p.f64 (neg.f64 x)))) (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (cbrt.f64 (log1p.f64 (neg.f64 x)))))))
(+.f64 (fma.f64 (log1p.f64 x) 1 (neg.f64 (*.f64 (log1p.f64 (neg.f64 x)) 1))) (fma.f64 (neg.f64 (log1p.f64 (neg.f64 x))) 1 (*.f64 (log1p.f64 (neg.f64 x)) 1)))
(+.f64 (fma.f64 (log1p.f64 x) 1 (neg.f64 (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (cbrt.f64 (log1p.f64 (neg.f64 x))))))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (neg.f64 x)))) (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (cbrt.f64 (log1p.f64 (neg.f64 x)))) (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (cbrt.f64 (log1p.f64 (neg.f64 x)))))))
(+.f64 (fma.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (neg.f64 (*.f64 (log1p.f64 (neg.f64 x)) 1))) (fma.f64 (neg.f64 (log1p.f64 (neg.f64 x))) 1 (*.f64 (log1p.f64 (neg.f64 x)) 1)))
(+.f64 (fma.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (neg.f64 (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (cbrt.f64 (log1p.f64 (neg.f64 x))))))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (neg.f64 x)))) (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (cbrt.f64 (log1p.f64 (neg.f64 x)))) (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (cbrt.f64 (log1p.f64 (neg.f64 x)))))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)) (neg.f64 (*.f64 (log1p.f64 (neg.f64 x)) 1))) (fma.f64 (neg.f64 (log1p.f64 (neg.f64 x))) 1 (*.f64 (log1p.f64 (neg.f64 x)) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)) (neg.f64 (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (cbrt.f64 (log1p.f64 (neg.f64 x))))))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (neg.f64 x)))) (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (cbrt.f64 (log1p.f64 (neg.f64 x)))) (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (cbrt.f64 (log1p.f64 (neg.f64 x)))))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (neg.f64 (*.f64 (log1p.f64 (neg.f64 x)) 1))) (fma.f64 (neg.f64 (log1p.f64 (neg.f64 x))) 1 (*.f64 (log1p.f64 (neg.f64 x)) 1)))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (neg.f64 (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (cbrt.f64 (log1p.f64 (neg.f64 x))))))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (neg.f64 x)))) (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (cbrt.f64 (log1p.f64 (neg.f64 x)))) (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (cbrt.f64 (log1p.f64 (neg.f64 x)))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) -2)) (log.f64 (/.f64 (+.f64 1 x) (cbrt.f64 (-.f64 1 x)))))
(+.f64 (log.f64 (pow.f64 (-.f64 1 x) -1/2)) (log.f64 (/.f64 (+.f64 1 x) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1)) (log.f64 (/.f64 (cbrt.f64 (+.f64 1 x)) (-.f64 1 x))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))) (*.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (sqrt.f64 (-.f64 1 x)))) (log.f64 (/.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) 1)) (log.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 x))))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))) (log.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (cbrt.f64 (-.f64 1 x)))))
(+.f64 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 (pow.f64 x 2)))) (log1p.f64 x))
(+.f64 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 (pow.f64 x 3)))) (log1p.f64 (fma.f64 x x x)))
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
(-.f64 0 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(-.f64 0 (log.f64 (/.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1)))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) 1)
(-.f64 (log1p.f64 (pow.f64 x 3)) (log.f64 (*.f64 (-.f64 1 x) (fma.f64 x (-.f64 x 1) 1))))
(-.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 x))) (log.f64 (/.f64 (-.f64 1 x) (cbrt.f64 (+.f64 1 x)))))
(-.f64 (*.f64 1/2 (log1p.f64 x)) (log.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (+.f64 1 x)))))
(-.f64 (log.f64 (fma.f64 -1 x -1)) (log.f64 (neg.f64 (-.f64 1 x))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 x 2))) (*.f64 2 (log1p.f64 (neg.f64 x))))
(-.f64 (log.f64 -1) (log.f64 (neg.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(-.f64 (log.f64 (/.f64 (+.f64 1 x) (sqrt.f64 (-.f64 1 x)))) (*.f64 1/2 (log1p.f64 (neg.f64 x))))
(-.f64 (log.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) 1)) (log.f64 (*.f64 (fma.f64 x (-.f64 x 1) 1) (-.f64 1 x))))
(-.f64 (log.f64 (*.f64 (-.f64 1 (pow.f64 x 2)) 1)) (*.f64 2 (log1p.f64 (neg.f64 x))))
(-.f64 (log.f64 (neg.f64 (fma.f64 -1 x -1))) (log.f64 (neg.f64 (neg.f64 (-.f64 1 x)))))
(-.f64 (log.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 1 (-.f64 1 x)))) (log1p.f64 (*.f64 x (-.f64 x 1))))
(-.f64 (log.f64 (/.f64 (+.f64 1 x) 1)) (log1p.f64 (neg.f64 x)))
(-.f64 (log.f64 (/.f64 (+.f64 1 x) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))) (*.f64 1/3 (log1p.f64 (neg.f64 x))))
(*.f64 1 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 1)
(*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) 2))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(*.f64 3 (*.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(*.f64 -1 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(*.f64 2 (*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(*.f64 1/3 (*.f64 3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(*.f64 (pow.f64 1 1/3) (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) 3))
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(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (sqrt.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))) (sqrt.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(neg.f64 (/.f64 (+.f64 1 x) (neg.f64 (-.f64 1 x))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(exp.f64 (*.f64 (*.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) -1))
(exp.f64 (*.f64 (log.f64 (exp.f64 1)) (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(+.f64 (log1p.f64 x) 0)
(+.f64 0 (log1p.f64 x))
(+.f64 (log1p.f64 (pow.f64 x 3)) (log.f64 (/.f64 1 (fma.f64 x (-.f64 x 1) 1))))
(+.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 x))) (*.f64 1/3 (log1p.f64 x)))
(+.f64 (*.f64 1/3 (log1p.f64 x)) (*.f64 2 (*.f64 1/3 (log1p.f64 x))))
(+.f64 (*.f64 1/2 (log1p.f64 x)) (*.f64 1/2 (log1p.f64 x)))
(+.f64 (log1p.f64 (neg.f64 (pow.f64 x 2))) (neg.f64 (log1p.f64 (neg.f64 x))))
(+.f64 (log.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (-.f64 1 (pow.f64 x 3)))) (log1p.f64 (fma.f64 x x x)))
(-.f64 0 (log.f64 (/.f64 (-.f64 1 x) (-.f64 1 (pow.f64 x 2)))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 x (-.f64 x 1) 1) (+.f64 1 (pow.f64 x 3)))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 x))) 1)
(-.f64 (log1p.f64 (pow.f64 x 3)) (log1p.f64 (*.f64 x (-.f64 x 1))))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log.f64 (fma.f64 x x (-.f64 1 x))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 x 2))) (log1p.f64 (neg.f64 x)))
(-.f64 (log.f64 (neg.f64 (-.f64 1 (pow.f64 x 2)))) (log.f64 (neg.f64 (-.f64 1 x))))
(-.f64 (log.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) 1)) (log1p.f64 (neg.f64 x)))
(-.f64 (log.f64 (neg.f64 (+.f64 1 (pow.f64 x 3)))) (log.f64 (neg.f64 (fma.f64 x (-.f64 x 1) 1))))
(-.f64 (log.f64 (fma.f64 x x -1)) (log.f64 (-.f64 x 1)))
(-.f64 (log.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))) (*.f64 1/3 (log1p.f64 (neg.f64 x))))
(-.f64 (log.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (sqrt.f64 (-.f64 1 x)))) (*.f64 1/2 (log1p.f64 (neg.f64 x))))
(*.f64 1 (log1p.f64 x))
(*.f64 (log1p.f64 x) 1)
(*.f64 (log1p.f64 x) (log.f64 (exp.f64 1)))
(*.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 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 x))) 2))
(*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))
(*.f64 3 (*.f64 1/3 (log1p.f64 x)))
(*.f64 2 (*.f64 1/2 (log1p.f64 x)))
(*.f64 1/3 (*.f64 3 (log1p.f64 x)))
(*.f64 (pow.f64 1 1/3) (log1p.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 x))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 x))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) (cbrt.f64 (cbrt.f64 (log1p.f64 x)))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 x))) 3))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 x) 3/2) 1/3) (pow.f64 (pow.f64 (log1p.f64 x) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 x) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 x) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x))) 2) 1/3) (pow.f64 (cbrt.f64 (log1p.f64 x)) 1/3))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 x) 5/2) 1/3) (pow.f64 (sqrt.f64 (log1p.f64 x)) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 x))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 x))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 x))) 2))
(pow.f64 (log1p.f64 x) 1)
(pow.f64 (cbrt.f64 (log1p.f64 x)) 3)
(pow.f64 (pow.f64 (log1p.f64 x) 2) 1/2)
(pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 x)) 2)
(neg.f64 (log.f64 (/.f64 (-.f64 1 x) (-.f64 1 (pow.f64 x 2)))))
(neg.f64 (log.f64 (/.f64 (fma.f64 x (-.f64 x 1) 1) (+.f64 1 (pow.f64 x 3)))))
(sqrt.f64 (pow.f64 (log1p.f64 x) 2))
(log.f64 (+.f64 1 x))
(cbrt.f64 (pow.f64 (log1p.f64 x) 3))
(expm1.f64 (log1p.f64 (log1p.f64 x)))
(exp.f64 (log.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (log.f64 (log1p.f64 x)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 x))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 x))) 2))

simplify174.0ms (2.4%)

Algorithm
egg-herbie
Rules
1486×log-prod
1062×associate-*r*
976×associate-*l*
658×fma-def
640×sqr-pow
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
073211348
1189010746
2794110682
Stop Event
node limit
Counts
289 → 430
Calls
Call 1
Inputs
(*.f64 2 x)
(+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x))
(+.f64 (*.f64 2/5 (pow.f64 x 5)) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))
(+.f64 (*.f64 2/7 (pow.f64 x 7)) (+.f64 (*.f64 2/5 (pow.f64 x 5)) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))))
(+.f64 (log.f64 -1) (+.f64 (*.f64 2/5 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))))
(+.f64 (log.f64 -1) (+.f64 (*.f64 2/5 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))))
1
(+.f64 1 (*.f64 2 x))
(+.f64 1 (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 2 x) (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 2 (pow.f64 x 3)))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
x
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 x (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3))))
(+.f64 x (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/4 (pow.f64 x 4)) (*.f64 1/3 (pow.f64 x 3)))))
(*.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 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (/.f64 1 x)))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1) (+.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 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 0)
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (neg.f64 x)))) (sqrt.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 (neg.f64 x))))
(+.f64 (log1p.f64 x) (neg.f64 (log1p.f64 (neg.f64 x))))
(+.f64 0 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(+.f64 (neg.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 x))
(+.f64 (*.f64 2 (*.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (*.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(+.f64 (*.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) (*.f64 2 (*.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(+.f64 (*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) (*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(+.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 x))) (log.f64 (*.f64 (cbrt.f64 (+.f64 1 x)) (/.f64 1 (-.f64 1 x)))))
(+.f64 (*.f64 1/2 (log1p.f64 x)) (log.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 1 (-.f64 1 x)))))
(+.f64 (log.f64 (fma.f64 -1 x -1)) (log.f64 (/.f64 1 (neg.f64 (-.f64 1 x)))))
(+.f64 (fma.f64 1 (log1p.f64 x) (neg.f64 (*.f64 (log1p.f64 (neg.f64 x)) 1))) (fma.f64 (neg.f64 (log1p.f64 (neg.f64 x))) 1 (*.f64 (log1p.f64 (neg.f64 x)) 1)))
(+.f64 (fma.f64 1 (log1p.f64 x) (neg.f64 (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (cbrt.f64 (log1p.f64 (neg.f64 x))))))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (neg.f64 x)))) (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (cbrt.f64 (log1p.f64 (neg.f64 x)))) (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (cbrt.f64 (log1p.f64 (neg.f64 x)))))))
(+.f64 (fma.f64 (log1p.f64 x) 1 (neg.f64 (*.f64 (log1p.f64 (neg.f64 x)) 1))) (fma.f64 (neg.f64 (log1p.f64 (neg.f64 x))) 1 (*.f64 (log1p.f64 (neg.f64 x)) 1)))
(+.f64 (fma.f64 (log1p.f64 x) 1 (neg.f64 (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (cbrt.f64 (log1p.f64 (neg.f64 x))))))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (neg.f64 x)))) (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (cbrt.f64 (log1p.f64 (neg.f64 x)))) (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (cbrt.f64 (log1p.f64 (neg.f64 x)))))))
(+.f64 (fma.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (neg.f64 (*.f64 (log1p.f64 (neg.f64 x)) 1))) (fma.f64 (neg.f64 (log1p.f64 (neg.f64 x))) 1 (*.f64 (log1p.f64 (neg.f64 x)) 1)))
(+.f64 (fma.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (neg.f64 (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (cbrt.f64 (log1p.f64 (neg.f64 x))))))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (neg.f64 x)))) (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (cbrt.f64 (log1p.f64 (neg.f64 x)))) (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (cbrt.f64 (log1p.f64 (neg.f64 x)))))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)) (neg.f64 (*.f64 (log1p.f64 (neg.f64 x)) 1))) (fma.f64 (neg.f64 (log1p.f64 (neg.f64 x))) 1 (*.f64 (log1p.f64 (neg.f64 x)) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)) (neg.f64 (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (cbrt.f64 (log1p.f64 (neg.f64 x))))))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (neg.f64 x)))) (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (cbrt.f64 (log1p.f64 (neg.f64 x)))) (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (cbrt.f64 (log1p.f64 (neg.f64 x)))))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (neg.f64 (*.f64 (log1p.f64 (neg.f64 x)) 1))) (fma.f64 (neg.f64 (log1p.f64 (neg.f64 x))) 1 (*.f64 (log1p.f64 (neg.f64 x)) 1)))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (neg.f64 (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (cbrt.f64 (log1p.f64 (neg.f64 x))))))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (neg.f64 x)))) (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (cbrt.f64 (log1p.f64 (neg.f64 x)))) (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (cbrt.f64 (log1p.f64 (neg.f64 x)))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) -2)) (log.f64 (/.f64 (+.f64 1 x) (cbrt.f64 (-.f64 1 x)))))
(+.f64 (log.f64 (pow.f64 (-.f64 1 x) -1/2)) (log.f64 (/.f64 (+.f64 1 x) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1)) (log.f64 (/.f64 (cbrt.f64 (+.f64 1 x)) (-.f64 1 x))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))) (*.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (sqrt.f64 (-.f64 1 x)))) (log.f64 (/.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) 1)) (log.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 x))))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))) (log.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (cbrt.f64 (-.f64 1 x)))))
(+.f64 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 (pow.f64 x 2)))) (log1p.f64 x))
(+.f64 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 (pow.f64 x 3)))) (log1p.f64 (fma.f64 x x x)))
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
(-.f64 0 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(-.f64 0 (log.f64 (/.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1)))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) 1)
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(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2)) (*.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 1))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 1))
(pow.f64 (/.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1) -1)
(pow.f64 (pow.f64 (exp.f64 1) 1) (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(pow.f64 (pow.f64 (exp.f64 1) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2))
(pow.f64 (pow.f64 (exp.f64 1) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2)) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 1) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2)) 1) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2))) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2)) (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))) (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))) (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) 1) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2))) (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (sqrt.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))) (sqrt.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(neg.f64 (/.f64 (+.f64 1 x) (neg.f64 (-.f64 1 x))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(exp.f64 (*.f64 (*.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) -1))
(exp.f64 (*.f64 (log.f64 (exp.f64 1)) (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(+.f64 (log1p.f64 x) 0)
(+.f64 0 (log1p.f64 x))
(+.f64 (log1p.f64 (pow.f64 x 3)) (log.f64 (/.f64 1 (fma.f64 x (-.f64 x 1) 1))))
(+.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 x))) (*.f64 1/3 (log1p.f64 x)))
(+.f64 (*.f64 1/3 (log1p.f64 x)) (*.f64 2 (*.f64 1/3 (log1p.f64 x))))
(+.f64 (*.f64 1/2 (log1p.f64 x)) (*.f64 1/2 (log1p.f64 x)))
(+.f64 (log1p.f64 (neg.f64 (pow.f64 x 2))) (neg.f64 (log1p.f64 (neg.f64 x))))
(+.f64 (log.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (-.f64 1 (pow.f64 x 3)))) (log1p.f64 (fma.f64 x x x)))
(-.f64 0 (log.f64 (/.f64 (-.f64 1 x) (-.f64 1 (pow.f64 x 2)))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 x (-.f64 x 1) 1) (+.f64 1 (pow.f64 x 3)))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 x))) 1)
(-.f64 (log1p.f64 (pow.f64 x 3)) (log1p.f64 (*.f64 x (-.f64 x 1))))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log.f64 (fma.f64 x x (-.f64 1 x))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 x 2))) (log1p.f64 (neg.f64 x)))
(-.f64 (log.f64 (neg.f64 (-.f64 1 (pow.f64 x 2)))) (log.f64 (neg.f64 (-.f64 1 x))))
(-.f64 (log.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) 1)) (log1p.f64 (neg.f64 x)))
(-.f64 (log.f64 (neg.f64 (+.f64 1 (pow.f64 x 3)))) (log.f64 (neg.f64 (fma.f64 x (-.f64 x 1) 1))))
(-.f64 (log.f64 (fma.f64 x x -1)) (log.f64 (-.f64 x 1)))
(-.f64 (log.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))) (*.f64 1/3 (log1p.f64 (neg.f64 x))))
(-.f64 (log.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (sqrt.f64 (-.f64 1 x)))) (*.f64 1/2 (log1p.f64 (neg.f64 x))))
(*.f64 1 (log1p.f64 x))
(*.f64 (log1p.f64 x) 1)
(*.f64 (log1p.f64 x) (log.f64 (exp.f64 1)))
(*.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 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 x))) 2))
(*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))
(*.f64 3 (*.f64 1/3 (log1p.f64 x)))
(*.f64 2 (*.f64 1/2 (log1p.f64 x)))
(*.f64 1/3 (*.f64 3 (log1p.f64 x)))
(*.f64 (pow.f64 1 1/3) (log1p.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 x))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 x))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) (cbrt.f64 (cbrt.f64 (log1p.f64 x)))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 x))) 3))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 x) 3/2) 1/3) (pow.f64 (pow.f64 (log1p.f64 x) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 x) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 x) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x))) 2) 1/3) (pow.f64 (cbrt.f64 (log1p.f64 x)) 1/3))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 x) 5/2) 1/3) (pow.f64 (sqrt.f64 (log1p.f64 x)) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 x))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 x))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 x))) 2))
(pow.f64 (log1p.f64 x) 1)
(pow.f64 (cbrt.f64 (log1p.f64 x)) 3)
(pow.f64 (pow.f64 (log1p.f64 x) 2) 1/2)
(pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 x)) 2)
(neg.f64 (log.f64 (/.f64 (-.f64 1 x) (-.f64 1 (pow.f64 x 2)))))
(neg.f64 (log.f64 (/.f64 (fma.f64 x (-.f64 x 1) 1) (+.f64 1 (pow.f64 x 3)))))
(sqrt.f64 (pow.f64 (log1p.f64 x) 2))
(log.f64 (+.f64 1 x))
(cbrt.f64 (pow.f64 (log1p.f64 x) 3))
(expm1.f64 (log1p.f64 (log1p.f64 x)))
(exp.f64 (log.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (log.f64 (log1p.f64 x)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 x))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 x))) 2))
Outputs
(*.f64 2 x)
(+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x))
(+.f64 (*.f64 2/5 (pow.f64 x 5)) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))
(fma.f64 2/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)))
(+.f64 (*.f64 2/7 (pow.f64 x 7)) (+.f64 (*.f64 2/5 (pow.f64 x 5)) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x))))
(fma.f64 2/7 (pow.f64 x 7) (fma.f64 2/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (log.f64 -1) (/.f64 2 x))
(+.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (+.f64 (log.f64 -1) (/.f64 2 x)) (/.f64 2/3 (pow.f64 x 3)))
(+.f64 (log.f64 -1) (+.f64 (*.f64 2/5 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))))
(+.f64 (log.f64 -1) (+.f64 (+.f64 (/.f64 2 x) (/.f64 2/3 (pow.f64 x 3))) (/.f64 2/5 (pow.f64 x 5))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (/.f64 2/5 (pow.f64 x 5)))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (log.f64 -1) (/.f64 2 x))
(+.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (+.f64 (log.f64 -1) (/.f64 2 x)) (/.f64 2/3 (pow.f64 x 3)))
(+.f64 (log.f64 -1) (+.f64 (*.f64 2/5 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))))
(+.f64 (log.f64 -1) (+.f64 (+.f64 (/.f64 2 x) (/.f64 2/3 (pow.f64 x 3))) (/.f64 2/5 (pow.f64 x 5))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (/.f64 2/5 (pow.f64 x 5)))))
1
(+.f64 1 (*.f64 2 x))
(+.f64 (*.f64 2 x) 1)
(fma.f64 2 x 1)
(+.f64 1 (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 2))))
(+.f64 1 (*.f64 2 (+.f64 x (pow.f64 x 2))))
(fma.f64 2 (fma.f64 x x x) 1)
(+.f64 1 (+.f64 (*.f64 2 x) (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 2 (pow.f64 x 3)))))
(+.f64 1 (fma.f64 2 x (*.f64 2 (+.f64 (pow.f64 x 2) (pow.f64 x 3)))))
(+.f64 1 (*.f64 2 (+.f64 x (fma.f64 x x (pow.f64 x 3)))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (/.f64 2 x)))
(+.f64 -1 (/.f64 -2 x))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 2)))))
(-.f64 -1 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 2))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 3))))))
(-.f64 -1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 3)))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (/.f64 2 x)))
(+.f64 -1 (/.f64 -2 x))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 2)))))
(-.f64 -1 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 2))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 3))))))
(-.f64 -1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 3)))))
x
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 x (*.f64 (pow.f64 x 2) -1/2))
(fma.f64 (pow.f64 x 2) -1/2 x)
(+.f64 x (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3))))
(+.f64 x (fma.f64 -1/2 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3)))
(+.f64 x (fma.f64 (pow.f64 x 2) -1/2 (*.f64 (pow.f64 x 3) 1/3)))
(+.f64 x (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/4 (pow.f64 x 4)) (*.f64 1/3 (pow.f64 x 3)))))
(+.f64 x (fma.f64 -1/2 (pow.f64 x 2) (fma.f64 -1/4 (pow.f64 x 4) (*.f64 (pow.f64 x 3) 1/3))))
(+.f64 (fma.f64 (pow.f64 x 2) -1/2 x) (fma.f64 (pow.f64 x 3) 1/3 (*.f64 -1/4 (pow.f64 x 4))))
(*.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 (pow.f64 x 2)))
(+.f64 (log.f64 x) (+.f64 (/.f64 1 x) (/.f64 -1/2 (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 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3)))) (/.f64 1/2 (pow.f64 x 2)))
(+.f64 (log.f64 x) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 -1/2 (pow.f64 x 2)))))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))
(-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (/.f64 1 x)))
(+.f64 (log.f64 -1) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (/.f64 1 x)))
(+.f64 (/.f64 1 x) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (/.f64 1 x))) (/.f64 1/2 (pow.f64 x 2)))
(+.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1 x) (/.f64 -1/2 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1) (+.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 (log.f64 -1) (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3)))) (/.f64 1/2 (pow.f64 x 2))))
(+.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 -1/2 (pow.f64 x 2)))))
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(exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(exp.f64 (*.f64 (*.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 3))
(exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(exp.f64 (*.f64 (*.f64 3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 1/3))
(exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2))
(exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) -1))
(exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(exp.f64 (*.f64 (log.f64 (exp.f64 1)) (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(/.f64 (+.f64 x 1) (-.f64 1 x))
(+.f64 (log1p.f64 x) 0)
(log1p.f64 x)
(+.f64 0 (log1p.f64 x))
(log1p.f64 x)
(+.f64 (log1p.f64 (pow.f64 x 3)) (log.f64 (/.f64 1 (fma.f64 x (-.f64 x 1) 1))))
(+.f64 (log1p.f64 (pow.f64 x 3)) (neg.f64 (log.f64 (fma.f64 x (+.f64 x -1) 1))))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log.f64 (fma.f64 x (+.f64 x -1) 1)))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log1p.f64 (*.f64 x (+.f64 x -1))))
(+.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 x))) (*.f64 1/3 (log1p.f64 x)))
(log1p.f64 x)
(+.f64 (*.f64 1/3 (log1p.f64 x)) (*.f64 2 (*.f64 1/3 (log1p.f64 x))))
(log1p.f64 x)
(+.f64 (*.f64 1/2 (log1p.f64 x)) (*.f64 1/2 (log1p.f64 x)))
(log1p.f64 x)
(+.f64 (log1p.f64 (neg.f64 (pow.f64 x 2))) (neg.f64 (log1p.f64 (neg.f64 x))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 x 2))) (log1p.f64 (neg.f64 x)))
(+.f64 (log.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (-.f64 1 (pow.f64 x 3)))) (log1p.f64 (fma.f64 x x x)))
(+.f64 (log1p.f64 (fma.f64 x x x)) (log.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (-.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (log1p.f64 (fma.f64 x x x)) (log1p.f64 (neg.f64 (pow.f64 x 2)))) (log1p.f64 (neg.f64 (pow.f64 x 3))))
(-.f64 0 (log.f64 (/.f64 (-.f64 1 x) (-.f64 1 (pow.f64 x 2)))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 x 2))) (log1p.f64 (neg.f64 x)))
(-.f64 0 (log.f64 (/.f64 (fma.f64 x (-.f64 x 1) 1) (+.f64 1 (pow.f64 x 3)))))
(+.f64 (log1p.f64 (pow.f64 x 3)) (neg.f64 (log.f64 (fma.f64 x (+.f64 x -1) 1))))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log.f64 (fma.f64 x (+.f64 x -1) 1)))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log1p.f64 (*.f64 x (+.f64 x -1))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 x))) 1)
(log1p.f64 x)
(-.f64 (log1p.f64 (pow.f64 x 3)) (log1p.f64 (*.f64 x (-.f64 x 1))))
(+.f64 (log1p.f64 (pow.f64 x 3)) (neg.f64 (log.f64 (fma.f64 x (+.f64 x -1) 1))))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log.f64 (fma.f64 x (+.f64 x -1) 1)))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log1p.f64 (*.f64 x (+.f64 x -1))))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log.f64 (fma.f64 x x (-.f64 1 x))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 x 2))) (log1p.f64 (neg.f64 x)))
(-.f64 (log.f64 (neg.f64 (-.f64 1 (pow.f64 x 2)))) (log.f64 (neg.f64 (-.f64 1 x))))
(-.f64 (log.f64 (fma.f64 x x -1)) (log.f64 (+.f64 x -1)))
(-.f64 (log.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) 1)) (log1p.f64 (neg.f64 x)))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 x 2))) (log1p.f64 (neg.f64 x)))
(-.f64 (log.f64 (neg.f64 (+.f64 1 (pow.f64 x 3)))) (log.f64 (neg.f64 (fma.f64 x (-.f64 x 1) 1))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 x 3) 1))) (log.f64 (neg.f64 (fma.f64 x (+.f64 x -1) 1))))
(-.f64 (log.f64 (-.f64 -1 (pow.f64 x 3))) (log.f64 (neg.f64 (fma.f64 x (+.f64 x -1) 1))))
(-.f64 (log.f64 (fma.f64 x x -1)) (log.f64 (-.f64 x 1)))
(-.f64 (log.f64 (neg.f64 (-.f64 1 (pow.f64 x 2)))) (log.f64 (neg.f64 (-.f64 1 x))))
(-.f64 (log.f64 (fma.f64 x x -1)) (log.f64 (+.f64 x -1)))
(-.f64 (log.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))) (*.f64 1/3 (log1p.f64 (neg.f64 x))))
(+.f64 (log.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))) (*.f64 -1/3 (log1p.f64 (neg.f64 x))))
(+.f64 (log.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))) (*.f64 (log1p.f64 (neg.f64 x)) -1/3))
(-.f64 (log.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (sqrt.f64 (-.f64 1 x)))) (*.f64 1/2 (log1p.f64 (neg.f64 x))))
(+.f64 (log.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (sqrt.f64 (-.f64 1 x)))) (*.f64 -1/2 (log1p.f64 (neg.f64 x))))
(*.f64 1 (log1p.f64 x))
(log1p.f64 x)
(*.f64 (log1p.f64 x) 1)
(log1p.f64 x)
(*.f64 (log1p.f64 x) (log.f64 (exp.f64 1)))
(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 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 x))) 2))
(*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))
(log1p.f64 x)
(*.f64 3 (*.f64 1/3 (log1p.f64 x)))
(log1p.f64 x)
(*.f64 2 (*.f64 1/2 (log1p.f64 x)))
(log1p.f64 x)
(*.f64 1/3 (*.f64 3 (log1p.f64 x)))
(log1p.f64 x)
(*.f64 (pow.f64 1 1/3) (log1p.f64 x))
(log1p.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) 3))
(log1p.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 x))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 x))) 3))
(log1p.f64 x)
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) (cbrt.f64 (cbrt.f64 (log1p.f64 x)))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) 3))
(log1p.f64 x)
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 x))) 3))
(log1p.f64 x)
(*.f64 (pow.f64 (pow.f64 (log1p.f64 x) 3/2) 1/3) (pow.f64 (pow.f64 (log1p.f64 x) 3/2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 3/2)) (cbrt.f64 (pow.f64 (log1p.f64 x) 3/2)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 x) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 x) 3)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (log1p.f64 x) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (log1p.f64 x) 3))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x))) 2) 1/3) (pow.f64 (cbrt.f64 (log1p.f64 x)) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) (cbrt.f64 (pow.f64 (*.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 4) 2)))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 x) 5/2) 1/3) (pow.f64 (sqrt.f64 (log1p.f64 x)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 x))) (cbrt.f64 (pow.f64 (log1p.f64 x) 5/2)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 x))) 2))
(log1p.f64 x)
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 x))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 x))) 2))
(log1p.f64 x)
(pow.f64 (log1p.f64 x) 1)
(log1p.f64 x)
(pow.f64 (cbrt.f64 (log1p.f64 x)) 3)
(log1p.f64 x)
(pow.f64 (pow.f64 (log1p.f64 x) 2) 1/2)
(sqrt.f64 (pow.f64 (log1p.f64 x) 2))
(fabs.f64 (log1p.f64 x))
(pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3)
(log1p.f64 x)
(pow.f64 (sqrt.f64 (log1p.f64 x)) 2)
(log1p.f64 x)
(neg.f64 (log.f64 (/.f64 (-.f64 1 x) (-.f64 1 (pow.f64 x 2)))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 x 2))) (log1p.f64 (neg.f64 x)))
(neg.f64 (log.f64 (/.f64 (fma.f64 x (-.f64 x 1) 1) (+.f64 1 (pow.f64 x 3)))))
(+.f64 (log1p.f64 (pow.f64 x 3)) (neg.f64 (log.f64 (fma.f64 x (+.f64 x -1) 1))))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log.f64 (fma.f64 x (+.f64 x -1) 1)))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log1p.f64 (*.f64 x (+.f64 x -1))))
(sqrt.f64 (pow.f64 (log1p.f64 x) 2))
(fabs.f64 (log1p.f64 x))
(log.f64 (+.f64 1 x))
(log1p.f64 x)
(cbrt.f64 (pow.f64 (log1p.f64 x) 3))
(log1p.f64 x)
(expm1.f64 (log1p.f64 (log1p.f64 x)))
(log1p.f64 x)
(exp.f64 (log.f64 (log1p.f64 x)))
(log1p.f64 x)
(exp.f64 (*.f64 (log.f64 (log1p.f64 x)) 1))
(log1p.f64 x)
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 x)) 1) 1))
(log1p.f64 x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 x))) 3))
(log1p.f64 x)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 x))) 1/3))
(log1p.f64 x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 x))) 2))
(log1p.f64 x)

eval158.0ms (2.2%)

Compiler

Compiled 8033 to 5203 computations (35.2% saved)

prune67.0ms (0.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New4273430
Fresh000
Picked022
Done000
Total4275432
Accuracy
100.0%
Counts
432 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
98.5%
(*.f64 1/2 (-.f64 x (log1p.f64 (neg.f64 x))))
99.7%
(*.f64 1/2 (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))
99.5%
(*.f64 1/2 (*.f64 2 x))
8.1%
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
Compiler

Compiled 46 to 37 computations (19.6% saved)

localize90.0ms (1.3%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
100.0%
(-.f64 x (log1p.f64 (neg.f64 x)))
99.8%
(*.f64 2/3 (pow.f64 x 3))
Compiler

Compiled 68 to 44 computations (35.3% saved)

series2.0ms (0%)

Counts
2 → 12
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(*.f64 2/3 (pow.f64 x 3))
0.0ms
x
@0
(-.f64 x (log1p.f64 (neg.f64 x)))
0.0ms
x
@-inf
(*.f64 2/3 (pow.f64 x 3))
0.0ms
x
@inf
(*.f64 2/3 (pow.f64 x 3))
0.0ms
x
@inf
(-.f64 x (log1p.f64 (neg.f64 x)))

rewrite90.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
1192×prod-diff
976×unpow-prod-down
580×log-prod
561×log1p-expm1-u
561×expm1-log1p-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01337
114633
2181333
Stop Event
node limit
Counts
2 → 147
Calls
Call 1
Inputs
(*.f64 2/3 (pow.f64 x 3))
(-.f64 x (log1p.f64 (neg.f64 x)))
Outputs
(+.f64 0 (*.f64 2/3 (pow.f64 x 3)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3))) (cbrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3)))) 1)
(pow.f64 (*.f64 2/3 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (cbrt.f64 2/3)) 3)
(pow.f64 (*.f64 (pow.f64 x 6) 4/9) 1/2)
(pow.f64 (*.f64 (pow.f64 x 9) 8/27) 1/3)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 6) 4/9))
(log.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2/3 (pow.f64 x 3)))))
(cbrt.f64 (*.f64 (pow.f64 x 9) 8/27))
(expm1.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 2/3 (pow.f64 x 3))))
(exp.f64 (*.f64 (log.f64 (*.f64 2/3 (pow.f64 x 3))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 2/3 (pow.f64 x 3))) 1) 1))
(exp.f64 (*.f64 (log.f64 (*.f64 x (cbrt.f64 2/3))) 3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 9) 8/27)) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3))) 2))
(log1p.f64 (expm1.f64 (*.f64 2/3 (pow.f64 x 3))))
(+.f64 x (neg.f64 (log1p.f64 x)))
(+.f64 x (*.f64 (neg.f64 (log1p.f64 x)) 1))
(+.f64 (-.f64 x (log1p.f64 x)) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(+.f64 (-.f64 x (log1p.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(+.f64 (-.f64 x (log1p.f64 x)) (+.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 x)))
(+.f64 (-.f64 x (log1p.f64 x)) (fma.f64 -1 (log1p.f64 x) (log1p.f64 x)))
(+.f64 (-.f64 x (log1p.f64 x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (log1p.f64 x)) (log1p.f64 x)))
(+.f64 (neg.f64 (log1p.f64 x)) x)
(+.f64 0 (-.f64 x (log1p.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 x (log1p.f64 x)))) (cbrt.f64 (exp.f64 (-.f64 x (log1p.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 x (log1p.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 x (log1p.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 x (log1p.f64 x))))))
(*.f64 (-.f64 x (log1p.f64 x)) 1)
(*.f64 (-.f64 x (log1p.f64 x)) (log.f64 (exp.f64 1)))
(*.f64 1 (-.f64 x (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 (-.f64 x (log1p.f64 x))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 x (log1p.f64 x)))) 2))
(*.f64 (sqrt.f64 (-.f64 x (log1p.f64 x))) (sqrt.f64 (-.f64 x (log1p.f64 x))))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log1p.f64 x) 3)) (/.f64 1 (fma.f64 (log1p.f64 x) (+.f64 x (log1p.f64 x)) (pow.f64 x 2))))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log1p.f64 x) 3)) (pow.f64 (/.f64 1 (fma.f64 (log1p.f64 x) (+.f64 x (log1p.f64 x)) (pow.f64 x 2))) 1))
(*.f64 (-.f64 (pow.f64 x 2) (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (+.f64 x (log1p.f64 x))))
(*.f64 (-.f64 (pow.f64 x 2) (pow.f64 (log1p.f64 x) 2)) (pow.f64 (/.f64 1 (+.f64 x (log1p.f64 x))) 1))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (log1p.f64 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (log1p.f64 x))))
(*.f64 (pow.f64 1 1/3) (-.f64 x (log1p.f64 x)))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (log1p.f64 x))) 1) (pow.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (log1p.f64 x))) 1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (log1p.f64 x))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 x (log1p.f64 x)))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 x (log1p.f64 x)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 x (log1p.f64 x)))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 x (log1p.f64 x)))) (cbrt.f64 (cbrt.f64 (-.f64 x (log1p.f64 x))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 x (log1p.f64 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 x (log1p.f64 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 x (log1p.f64 x)))) 3))
(*.f64 (pow.f64 (pow.f64 (-.f64 x (log1p.f64 x)) 3/2) 1/3) (pow.f64 (pow.f64 (-.f64 x (log1p.f64 x)) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 x (log1p.f64 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 x (log1p.f64 x)) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 x (log1p.f64 x)) (cbrt.f64 (-.f64 x (log1p.f64 x)))) 2) 1/3) (pow.f64 (cbrt.f64 (-.f64 x (log1p.f64 x))) 1/3))
(*.f64 (pow.f64 (pow.f64 (-.f64 x (log1p.f64 x)) 5/2) 1/3) (pow.f64 (sqrt.f64 (-.f64 x (log1p.f64 x))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (log1p.f64 x))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 x (log1p.f64 x)))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 x (log1p.f64 x)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 x (log1p.f64 x)))) 2))
(/.f64 1 (/.f64 (fma.f64 (log1p.f64 x) (+.f64 x (log1p.f64 x)) (pow.f64 x 2)) (-.f64 (pow.f64 x 3) (pow.f64 (log1p.f64 x) 3))))
(/.f64 1 (/.f64 (+.f64 x (log1p.f64 x)) (-.f64 (pow.f64 x 2) (pow.f64 (log1p.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log1p.f64 x) 3)) (fma.f64 (log1p.f64 x) (+.f64 x (log1p.f64 x)) (pow.f64 x 2)))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (log1p.f64 x) 2)) (+.f64 x (log1p.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log1p.f64 x) 3))) (neg.f64 (fma.f64 (log1p.f64 x) (+.f64 x (log1p.f64 x)) (pow.f64 x 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (pow.f64 (log1p.f64 x) 2))) (neg.f64 (+.f64 x (log1p.f64 x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (log1p.f64 x)) 3)) (fma.f64 x x (-.f64 (pow.f64 (neg.f64 (log1p.f64 x)) 2) (*.f64 x (neg.f64 (log1p.f64 x))))))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (neg.f64 (log1p.f64 x)) 2)) (-.f64 x (neg.f64 (log1p.f64 x))))
(pow.f64 (-.f64 x (log1p.f64 x)) 1)
(pow.f64 (cbrt.f64 (-.f64 x (log1p.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 x (log1p.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 x (log1p.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 x (log1p.f64 x))) 2)
(pow.f64 (/.f64 (fma.f64 (log1p.f64 x) (+.f64 x (log1p.f64 x)) (pow.f64 x 2)) (-.f64 (pow.f64 x 3) (pow.f64 (log1p.f64 x) 3))) -1)
(pow.f64 (/.f64 (+.f64 x (log1p.f64 x)) (-.f64 (pow.f64 x 2) (pow.f64 (log1p.f64 x) 2))) -1)
(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)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (/.f64 1 (+.f64 x 1))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (neg.f64 (log1p.f64 x)))))
(log.f64 (*.f64 (/.f64 1 (+.f64 x 1)) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (exp.f64 x)))
(log.f64 (*.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (+.f64 1 (expm1.f64 x))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 x)) (+.f64 x 1)))
(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))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 x (log1p.f64 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 x (log1p.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 x (log1p.f64 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 x (log1p.f64 x)))) 2))
(log1p.f64 (expm1.f64 (-.f64 x (log1p.f64 x))))
(fma.f64 x 1 (neg.f64 (log1p.f64 x)))
(fma.f64 x 1 (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 x -1 (neg.f64 (log1p.f64 x)))
(fma.f64 x -1 (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 (-.f64 x (log1p.f64 x)) 1 (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(fma.f64 (-.f64 x (log1p.f64 x)) 1 (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(fma.f64 (-.f64 x (log1p.f64 x)) 1 (+.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 x)))
(fma.f64 1 x (neg.f64 (log1p.f64 x)))
(fma.f64 1 x (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 1 (-.f64 x (log1p.f64 x)) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(fma.f64 1 (-.f64 x (log1p.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(fma.f64 1 (-.f64 x (log1p.f64 x)) (+.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 x)))
(fma.f64 1 (neg.f64 (log1p.f64 x)) x)
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (neg.f64 (cbrt.f64 (log1p.f64 x))) x)
(fma.f64 (cbrt.f64 (-.f64 x (log1p.f64 x))) (pow.f64 (cbrt.f64 (-.f64 x (log1p.f64 x))) 2) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(fma.f64 (cbrt.f64 (-.f64 x (log1p.f64 x))) (pow.f64 (cbrt.f64 (-.f64 x (log1p.f64 x))) 2) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(fma.f64 (cbrt.f64 (-.f64 x (log1p.f64 x))) (pow.f64 (cbrt.f64 (-.f64 x (log1p.f64 x))) 2) (+.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (log1p.f64 x))) 2) (cbrt.f64 (-.f64 x (log1p.f64 x))) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (log1p.f64 x))) 2) (cbrt.f64 (-.f64 x (log1p.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (log1p.f64 x))) 2) (cbrt.f64 (-.f64 x (log1p.f64 x))) (+.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 x)))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (neg.f64 (log1p.f64 x)))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (log1p.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)) (neg.f64 (log1p.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 (sqrt.f64 (log1p.f64 x)) (neg.f64 (sqrt.f64 (log1p.f64 x))) x)
(fma.f64 (sqrt.f64 (-.f64 x (log1p.f64 x))) (sqrt.f64 (-.f64 x (log1p.f64 x))) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 x (log1p.f64 x))) (sqrt.f64 (-.f64 x (log1p.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 x (log1p.f64 x))) (sqrt.f64 (-.f64 x (log1p.f64 x))) (+.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 x)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (log1p.f64 x)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (neg.f64 (log1p.f64 x)))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log1p.f64 x) 3)) (/.f64 1 (fma.f64 (log1p.f64 x) (+.f64 x (log1p.f64 x)) (pow.f64 x 2))) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log1p.f64 x) 3)) (/.f64 1 (fma.f64 (log1p.f64 x) (+.f64 x (log1p.f64 x)) (pow.f64 x 2))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log1p.f64 x) 3)) (/.f64 1 (fma.f64 (log1p.f64 x) (+.f64 x (log1p.f64 x)) (pow.f64 x 2))) (+.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 x)))
(fma.f64 -1 x (neg.f64 (log1p.f64 x)))
(fma.f64 -1 x (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 -1 (log1p.f64 x) x)
(fma.f64 (-.f64 (pow.f64 x 2) (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (+.f64 x (log1p.f64 x))) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(fma.f64 (-.f64 (pow.f64 x 2) (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (+.f64 x (log1p.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(fma.f64 (-.f64 (pow.f64 x 2) (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (+.f64 x (log1p.f64 x))) (+.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 x)))
(fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x)) x)
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (log1p.f64 x))) (cbrt.f64 (neg.f64 (log1p.f64 x)))) (cbrt.f64 (neg.f64 (log1p.f64 x))) x)
(fma.f64 (sqrt.f64 (neg.f64 (log1p.f64 x))) (sqrt.f64 (neg.f64 (log1p.f64 x))) x)
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (log1p.f64 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (log1p.f64 x))) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (log1p.f64 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (log1p.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (log1p.f64 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (log1p.f64 x))) (+.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 x)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 (log1p.f64 x)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (log1p.f64 x)))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (log1p.f64 x)) x)
(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 (log1p.f64 x)))
(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 (*.f64 -1 (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (log1p.f64 x)))
(fma.f64 (*.f64 -1 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 (log1p.f64 x)) 1))

simplify126.0ms (1.8%)

Algorithm
egg-herbie
Rules
1964×fma-neg
596×associate-+l+
576×distribute-lft-in
548×distribute-rgt-in
526×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03524472
18514225
223994146
373544146
Stop Event
node limit
Counts
159 → 191
Calls
Call 1
Inputs
(*.f64 2 x)
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 2 x))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 2 x)))
(+.f64 (*.f64 1/4 (pow.f64 x 4)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 2 x))))
x
(+.f64 x (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x))))))
(+.f64 x (+.f64 (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x))))) (/.f64 1 x)))
(+.f64 x (+.f64 (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x))))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))))
x
(+.f64 x (log.f64 (/.f64 -1 x)))
(+.f64 x (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 1 x)))
(+.f64 x (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))))
(+.f64 0 (*.f64 2/3 (pow.f64 x 3)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3))) (cbrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3)))) 1)
(pow.f64 (*.f64 2/3 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (cbrt.f64 2/3)) 3)
(pow.f64 (*.f64 (pow.f64 x 6) 4/9) 1/2)
(pow.f64 (*.f64 (pow.f64 x 9) 8/27) 1/3)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 6) 4/9))
(log.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2/3 (pow.f64 x 3)))))
(cbrt.f64 (*.f64 (pow.f64 x 9) 8/27))
(expm1.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 2/3 (pow.f64 x 3))))
(exp.f64 (*.f64 (log.f64 (*.f64 2/3 (pow.f64 x 3))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 2/3 (pow.f64 x 3))) 1) 1))
(exp.f64 (*.f64 (log.f64 (*.f64 x (cbrt.f64 2/3))) 3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 9) 8/27)) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3))) 2))
(log1p.f64 (expm1.f64 (*.f64 2/3 (pow.f64 x 3))))
(+.f64 x (neg.f64 (log1p.f64 x)))
(+.f64 x (*.f64 (neg.f64 (log1p.f64 x)) 1))
(+.f64 (-.f64 x (log1p.f64 x)) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(+.f64 (-.f64 x (log1p.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(+.f64 (-.f64 x (log1p.f64 x)) (+.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 x)))
(+.f64 (-.f64 x (log1p.f64 x)) (fma.f64 -1 (log1p.f64 x) (log1p.f64 x)))
(+.f64 (-.f64 x (log1p.f64 x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (log1p.f64 x)) (log1p.f64 x)))
(+.f64 (neg.f64 (log1p.f64 x)) x)
(+.f64 0 (-.f64 x (log1p.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 x (log1p.f64 x)))) (cbrt.f64 (exp.f64 (-.f64 x (log1p.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 x (log1p.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 x (log1p.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 x (log1p.f64 x))))))
(*.f64 (-.f64 x (log1p.f64 x)) 1)
(*.f64 (-.f64 x (log1p.f64 x)) (log.f64 (exp.f64 1)))
(*.f64 1 (-.f64 x (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 (-.f64 x (log1p.f64 x))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 x (log1p.f64 x)))) 2))
(*.f64 (sqrt.f64 (-.f64 x (log1p.f64 x))) (sqrt.f64 (-.f64 x (log1p.f64 x))))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log1p.f64 x) 3)) (/.f64 1 (fma.f64 (log1p.f64 x) (+.f64 x (log1p.f64 x)) (pow.f64 x 2))))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log1p.f64 x) 3)) (pow.f64 (/.f64 1 (fma.f64 (log1p.f64 x) (+.f64 x (log1p.f64 x)) (pow.f64 x 2))) 1))
(*.f64 (-.f64 (pow.f64 x 2) (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (+.f64 x (log1p.f64 x))))
(*.f64 (-.f64 (pow.f64 x 2) (pow.f64 (log1p.f64 x) 2)) (pow.f64 (/.f64 1 (+.f64 x (log1p.f64 x))) 1))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (log1p.f64 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (log1p.f64 x))))
(*.f64 (pow.f64 1 1/3) (-.f64 x (log1p.f64 x)))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (log1p.f64 x))) 1) (pow.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (log1p.f64 x))) 1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (log1p.f64 x))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 x (log1p.f64 x)))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 x (log1p.f64 x)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 x (log1p.f64 x)))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 x (log1p.f64 x)))) (cbrt.f64 (cbrt.f64 (-.f64 x (log1p.f64 x))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 x (log1p.f64 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 x (log1p.f64 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 x (log1p.f64 x)))) 3))
(*.f64 (pow.f64 (pow.f64 (-.f64 x (log1p.f64 x)) 3/2) 1/3) (pow.f64 (pow.f64 (-.f64 x (log1p.f64 x)) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 x (log1p.f64 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 x (log1p.f64 x)) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 x (log1p.f64 x)) (cbrt.f64 (-.f64 x (log1p.f64 x)))) 2) 1/3) (pow.f64 (cbrt.f64 (-.f64 x (log1p.f64 x))) 1/3))
(*.f64 (pow.f64 (pow.f64 (-.f64 x (log1p.f64 x)) 5/2) 1/3) (pow.f64 (sqrt.f64 (-.f64 x (log1p.f64 x))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (log1p.f64 x))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 x (log1p.f64 x)))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 x (log1p.f64 x)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 x (log1p.f64 x)))) 2))
(/.f64 1 (/.f64 (fma.f64 (log1p.f64 x) (+.f64 x (log1p.f64 x)) (pow.f64 x 2)) (-.f64 (pow.f64 x 3) (pow.f64 (log1p.f64 x) 3))))
(/.f64 1 (/.f64 (+.f64 x (log1p.f64 x)) (-.f64 (pow.f64 x 2) (pow.f64 (log1p.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log1p.f64 x) 3)) (fma.f64 (log1p.f64 x) (+.f64 x (log1p.f64 x)) (pow.f64 x 2)))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (log1p.f64 x) 2)) (+.f64 x (log1p.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log1p.f64 x) 3))) (neg.f64 (fma.f64 (log1p.f64 x) (+.f64 x (log1p.f64 x)) (pow.f64 x 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (pow.f64 (log1p.f64 x) 2))) (neg.f64 (+.f64 x (log1p.f64 x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (log1p.f64 x)) 3)) (fma.f64 x x (-.f64 (pow.f64 (neg.f64 (log1p.f64 x)) 2) (*.f64 x (neg.f64 (log1p.f64 x))))))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (neg.f64 (log1p.f64 x)) 2)) (-.f64 x (neg.f64 (log1p.f64 x))))
(pow.f64 (-.f64 x (log1p.f64 x)) 1)
(pow.f64 (cbrt.f64 (-.f64 x (log1p.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 x (log1p.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 x (log1p.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 x (log1p.f64 x))) 2)
(pow.f64 (/.f64 (fma.f64 (log1p.f64 x) (+.f64 x (log1p.f64 x)) (pow.f64 x 2)) (-.f64 (pow.f64 x 3) (pow.f64 (log1p.f64 x) 3))) -1)
(pow.f64 (/.f64 (+.f64 x (log1p.f64 x)) (-.f64 (pow.f64 x 2) (pow.f64 (log1p.f64 x) 2))) -1)
(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)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (/.f64 1 (+.f64 x 1))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (neg.f64 (log1p.f64 x)))))
(log.f64 (*.f64 (/.f64 1 (+.f64 x 1)) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (exp.f64 x)))
(log.f64 (*.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (+.f64 1 (expm1.f64 x))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 x)) (+.f64 x 1)))
(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))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 x (log1p.f64 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 x (log1p.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 x (log1p.f64 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 x (log1p.f64 x)))) 2))
(log1p.f64 (expm1.f64 (-.f64 x (log1p.f64 x))))
(fma.f64 x 1 (neg.f64 (log1p.f64 x)))
(fma.f64 x 1 (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 x -1 (neg.f64 (log1p.f64 x)))
(fma.f64 x -1 (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 (-.f64 x (log1p.f64 x)) 1 (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(fma.f64 (-.f64 x (log1p.f64 x)) 1 (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(fma.f64 (-.f64 x (log1p.f64 x)) 1 (+.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 x)))
(fma.f64 1 x (neg.f64 (log1p.f64 x)))
(fma.f64 1 x (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 1 (-.f64 x (log1p.f64 x)) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(fma.f64 1 (-.f64 x (log1p.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(fma.f64 1 (-.f64 x (log1p.f64 x)) (+.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 x)))
(fma.f64 1 (neg.f64 (log1p.f64 x)) x)
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (neg.f64 (cbrt.f64 (log1p.f64 x))) x)
(fma.f64 (cbrt.f64 (-.f64 x (log1p.f64 x))) (pow.f64 (cbrt.f64 (-.f64 x (log1p.f64 x))) 2) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(fma.f64 (cbrt.f64 (-.f64 x (log1p.f64 x))) (pow.f64 (cbrt.f64 (-.f64 x (log1p.f64 x))) 2) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(fma.f64 (cbrt.f64 (-.f64 x (log1p.f64 x))) (pow.f64 (cbrt.f64 (-.f64 x (log1p.f64 x))) 2) (+.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (log1p.f64 x))) 2) (cbrt.f64 (-.f64 x (log1p.f64 x))) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (log1p.f64 x))) 2) (cbrt.f64 (-.f64 x (log1p.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (log1p.f64 x))) 2) (cbrt.f64 (-.f64 x (log1p.f64 x))) (+.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 x)))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (neg.f64 (log1p.f64 x)))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (log1p.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)) (neg.f64 (log1p.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 (sqrt.f64 (log1p.f64 x)) (neg.f64 (sqrt.f64 (log1p.f64 x))) x)
(fma.f64 (sqrt.f64 (-.f64 x (log1p.f64 x))) (sqrt.f64 (-.f64 x (log1p.f64 x))) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 x (log1p.f64 x))) (sqrt.f64 (-.f64 x (log1p.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 x (log1p.f64 x))) (sqrt.f64 (-.f64 x (log1p.f64 x))) (+.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 x)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (log1p.f64 x)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (neg.f64 (log1p.f64 x)))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log1p.f64 x) 3)) (/.f64 1 (fma.f64 (log1p.f64 x) (+.f64 x (log1p.f64 x)) (pow.f64 x 2))) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log1p.f64 x) 3)) (/.f64 1 (fma.f64 (log1p.f64 x) (+.f64 x (log1p.f64 x)) (pow.f64 x 2))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log1p.f64 x) 3)) (/.f64 1 (fma.f64 (log1p.f64 x) (+.f64 x (log1p.f64 x)) (pow.f64 x 2))) (+.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 x)))
(fma.f64 -1 x (neg.f64 (log1p.f64 x)))
(fma.f64 -1 x (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 -1 (log1p.f64 x) x)
(fma.f64 (-.f64 (pow.f64 x 2) (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (+.f64 x (log1p.f64 x))) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(fma.f64 (-.f64 (pow.f64 x 2) (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (+.f64 x (log1p.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(fma.f64 (-.f64 (pow.f64 x 2) (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (+.f64 x (log1p.f64 x))) (+.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 x)))
(fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x)) x)
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (log1p.f64 x))) (cbrt.f64 (neg.f64 (log1p.f64 x)))) (cbrt.f64 (neg.f64 (log1p.f64 x))) x)
(fma.f64 (sqrt.f64 (neg.f64 (log1p.f64 x))) (sqrt.f64 (neg.f64 (log1p.f64 x))) x)
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (log1p.f64 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (log1p.f64 x))) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (log1p.f64 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (log1p.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (log1p.f64 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (log1p.f64 x))) (+.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 x)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 (log1p.f64 x)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (log1p.f64 x)))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (log1p.f64 x)) x)
(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 (log1p.f64 x)))
(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 (*.f64 -1 (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (log1p.f64 x)))
(fma.f64 (*.f64 -1 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 (log1p.f64 x)) 1))
Outputs
(*.f64 2 x)
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 2 x))
(fma.f64 1/2 (pow.f64 x 2) (*.f64 2 x))
(*.f64 x (+.f64 2 (*.f64 x 1/2)))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 2 x)))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/2 (pow.f64 x 2) (*.f64 2 x)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x (+.f64 2 (*.f64 x 1/2))))
(+.f64 (*.f64 1/4 (pow.f64 x 4)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 2 x))))
(fma.f64 1/4 (pow.f64 x 4) (fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/2 (pow.f64 x 2) (*.f64 2 x))))
(fma.f64 1/4 (pow.f64 x 4) (fma.f64 1/3 (pow.f64 x 3) (*.f64 x (+.f64 2 (*.f64 x 1/2)))))
x
(+.f64 x (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x))))))
(+.f64 x (neg.f64 (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 x))))))
(-.f64 x (+.f64 (log.f64 -1) (log.f64 x)))
(-.f64 (-.f64 x (log.f64 x)) (log.f64 -1))
(+.f64 x (+.f64 (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x))))) (/.f64 1 x)))
(+.f64 x (fma.f64 -1 (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 x)))) (/.f64 1 x)))
(+.f64 (/.f64 1 x) (-.f64 x (+.f64 (log.f64 -1) (log.f64 x))))
(+.f64 (/.f64 1 x) (-.f64 (-.f64 x (log.f64 x)) (log.f64 -1)))
(+.f64 x (+.f64 (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x))))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))))
(+.f64 x (fma.f64 -1 (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 x)))) (+.f64 (/.f64 1 x) (/.f64 1/2 (pow.f64 x 2)))))
(+.f64 x (+.f64 (-.f64 (/.f64 1 x) (+.f64 (log.f64 -1) (log.f64 x))) (/.f64 1/2 (pow.f64 x 2))))
(+.f64 x (+.f64 (/.f64 1 x) (-.f64 (/.f64 1/2 (pow.f64 x 2)) (+.f64 (log.f64 -1) (log.f64 x)))))
x
(+.f64 x (log.f64 (/.f64 -1 x)))
(+.f64 x (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 1 x)))
(+.f64 x (+.f64 (/.f64 1 x) (log.f64 (/.f64 -1 x))))
(+.f64 x (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))))
(+.f64 x (+.f64 (+.f64 (/.f64 1 x) (/.f64 1/2 (pow.f64 x 2))) (log.f64 (/.f64 -1 x))))
(+.f64 (+.f64 x (+.f64 (/.f64 1 x) (log.f64 (/.f64 -1 x)))) (/.f64 1/2 (pow.f64 x 2)))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 1/2 (pow.f64 x 2)) (+.f64 x (/.f64 1 x))))
(+.f64 0 (*.f64 2/3 (pow.f64 x 3)))
(*.f64 (pow.f64 x 3) 2/3)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3))) (cbrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))))
(*.f64 (pow.f64 x 3) 2/3)
(-.f64 (exp.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3)))) 1)
(*.f64 (pow.f64 x 3) 2/3)
(pow.f64 (*.f64 2/3 (pow.f64 x 3)) 1)
(*.f64 (pow.f64 x 3) 2/3)
(pow.f64 (*.f64 x (cbrt.f64 2/3)) 3)
(*.f64 (pow.f64 x 3) 2/3)
(pow.f64 (*.f64 (pow.f64 x 6) 4/9) 1/2)
(sqrt.f64 (*.f64 (pow.f64 x 6) 4/9))
(pow.f64 (*.f64 (pow.f64 x 9) 8/27) 1/3)
(cbrt.f64 (*.f64 (pow.f64 x 9) 8/27))
(cbrt.f64 (*.f64 8/27 (pow.f64 x 9)))
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3)) 2)
(*.f64 (pow.f64 x 3) 2/3)
(sqrt.f64 (*.f64 (pow.f64 x 6) 4/9))
(log.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))
(*.f64 (pow.f64 x 3) 2/3)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2/3 (pow.f64 x 3)))))
(*.f64 (pow.f64 x 3) 2/3)
(cbrt.f64 (*.f64 (pow.f64 x 9) 8/27))
(cbrt.f64 (*.f64 8/27 (pow.f64 x 9)))
(expm1.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3))))
(*.f64 (pow.f64 x 3) 2/3)
(exp.f64 (log.f64 (*.f64 2/3 (pow.f64 x 3))))
(*.f64 (pow.f64 x 3) 2/3)
(exp.f64 (*.f64 (log.f64 (*.f64 2/3 (pow.f64 x 3))) 1))
(*.f64 (pow.f64 x 3) 2/3)
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(-.f64 x (log1p.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (log1p.f64 x))) 2) (cbrt.f64 (-.f64 x (log1p.f64 x))) (+.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 x)))
(-.f64 x (log1p.f64 x))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (neg.f64 (log1p.f64 x)))
(-.f64 x (log1p.f64 x))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(-.f64 x (log1p.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (log1p.f64 x)))
(-.f64 x (log1p.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(-.f64 x (log1p.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)) (neg.f64 (log1p.f64 x)))
(fma.f64 x -1 (neg.f64 (log1p.f64 x)))
(-.f64 (neg.f64 x) (log1p.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 x -1 (neg.f64 (log1p.f64 x)))
(-.f64 (neg.f64 x) (log1p.f64 x))
(fma.f64 (sqrt.f64 (log1p.f64 x)) (neg.f64 (sqrt.f64 (log1p.f64 x))) x)
(-.f64 x (log1p.f64 x))
(fma.f64 (sqrt.f64 (-.f64 x (log1p.f64 x))) (sqrt.f64 (-.f64 x (log1p.f64 x))) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(-.f64 x (log1p.f64 x))
(fma.f64 (sqrt.f64 (-.f64 x (log1p.f64 x))) (sqrt.f64 (-.f64 x (log1p.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(-.f64 x (log1p.f64 x))
(fma.f64 (sqrt.f64 (-.f64 x (log1p.f64 x))) (sqrt.f64 (-.f64 x (log1p.f64 x))) (+.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 x)))
(-.f64 x (log1p.f64 x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (log1p.f64 x)))
(-.f64 x (log1p.f64 x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(-.f64 x (log1p.f64 x))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (neg.f64 (log1p.f64 x)))
(fma.f64 x -1 (neg.f64 (log1p.f64 x)))
(-.f64 (neg.f64 x) (log1p.f64 x))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 x -1 (neg.f64 (log1p.f64 x)))
(-.f64 (neg.f64 x) (log1p.f64 x))
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log1p.f64 x) 3)) (/.f64 1 (fma.f64 (log1p.f64 x) (+.f64 x (log1p.f64 x)) (pow.f64 x 2))) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log1p.f64 x) 3)) (/.f64 1 (fma.f64 (log1p.f64 x) (+.f64 x (log1p.f64 x)) (pow.f64 x 2))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log1p.f64 x) 3)) (fma.f64 (log1p.f64 x) (+.f64 x (log1p.f64 x)) (pow.f64 x 2)))
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log1p.f64 x) 3)) (/.f64 1 (fma.f64 (log1p.f64 x) (+.f64 x (log1p.f64 x)) (pow.f64 x 2))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log1p.f64 x) 3)) (/.f64 1 (fma.f64 (log1p.f64 x) (+.f64 x (log1p.f64 x)) (pow.f64 x 2))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log1p.f64 x) 3)) (fma.f64 (log1p.f64 x) (+.f64 x (log1p.f64 x)) (pow.f64 x 2)))
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log1p.f64 x) 3)) (/.f64 1 (fma.f64 (log1p.f64 x) (+.f64 x (log1p.f64 x)) (pow.f64 x 2))) (+.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 x)))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log1p.f64 x) 3)) (/.f64 1 (fma.f64 (log1p.f64 x) (+.f64 x (log1p.f64 x)) (pow.f64 x 2))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log1p.f64 x) 3)) (fma.f64 (log1p.f64 x) (+.f64 x (log1p.f64 x)) (pow.f64 x 2)))
(fma.f64 -1 x (neg.f64 (log1p.f64 x)))
(fma.f64 x -1 (neg.f64 (log1p.f64 x)))
(-.f64 (neg.f64 x) (log1p.f64 x))
(fma.f64 -1 x (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 x -1 (neg.f64 (log1p.f64 x)))
(-.f64 (neg.f64 x) (log1p.f64 x))
(fma.f64 -1 (log1p.f64 x) x)
(-.f64 x (log1p.f64 x))
(fma.f64 (-.f64 (pow.f64 x 2) (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (+.f64 x (log1p.f64 x))) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(*.f64 (-.f64 (pow.f64 x 2) (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (+.f64 x (log1p.f64 x))))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (log1p.f64 x) 2)) (+.f64 x (log1p.f64 x)))
(fma.f64 (-.f64 (pow.f64 x 2) (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (+.f64 x (log1p.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(*.f64 (-.f64 (pow.f64 x 2) (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (+.f64 x (log1p.f64 x))))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (log1p.f64 x) 2)) (+.f64 x (log1p.f64 x)))
(fma.f64 (-.f64 (pow.f64 x 2) (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (+.f64 x (log1p.f64 x))) (+.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 x)))
(*.f64 (-.f64 (pow.f64 x 2) (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (+.f64 x (log1p.f64 x))))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (log1p.f64 x) 2)) (+.f64 x (log1p.f64 x)))
(fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x)) x)
(-.f64 x (log1p.f64 x))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (log1p.f64 x))) (cbrt.f64 (neg.f64 (log1p.f64 x)))) (cbrt.f64 (neg.f64 (log1p.f64 x))) x)
(-.f64 x (log1p.f64 x))
(fma.f64 (sqrt.f64 (neg.f64 (log1p.f64 x))) (sqrt.f64 (neg.f64 (log1p.f64 x))) x)
(-.f64 x (log1p.f64 x))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (log1p.f64 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (log1p.f64 x))) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(-.f64 x (log1p.f64 x))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (log1p.f64 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (log1p.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(-.f64 x (log1p.f64 x))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (log1p.f64 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (log1p.f64 x))) (+.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 x)))
(-.f64 x (log1p.f64 x))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 (log1p.f64 x)))
(fma.f64 x -1 (neg.f64 (log1p.f64 x)))
(-.f64 (neg.f64 x) (log1p.f64 x))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 x -1 (neg.f64 (log1p.f64 x)))
(-.f64 (neg.f64 x) (log1p.f64 x))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (log1p.f64 x)))
(fma.f64 x -1 (neg.f64 (log1p.f64 x)))
(-.f64 (neg.f64 x) (log1p.f64 x))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 x -1 (neg.f64 (log1p.f64 x)))
(-.f64 (neg.f64 x) (log1p.f64 x))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (log1p.f64 x)) x)
(-.f64 x (log1p.f64 x))
(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 (log1p.f64 x)))
(fma.f64 x -1 (neg.f64 (log1p.f64 x)))
(-.f64 (neg.f64 x) (log1p.f64 x))
(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 x -1 (neg.f64 (log1p.f64 x)))
(-.f64 (neg.f64 x) (log1p.f64 x))
(fma.f64 (*.f64 -1 (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (log1p.f64 x)))
(fma.f64 x -1 (neg.f64 (log1p.f64 x)))
(-.f64 (neg.f64 x) (log1p.f64 x))
(fma.f64 (*.f64 -1 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 x -1 (neg.f64 (log1p.f64 x)))
(-.f64 (neg.f64 x) (log1p.f64 x))

eval51.0ms (0.7%)

Compiler

Compiled 2914 to 1589 computations (45.5% saved)

prune220.0ms (3.1%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1892191
Fresh000
Picked123
Done022
Total1906196
Accuracy
100.0%
Counts
196 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
99.7%
(*.f64 1/2 (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))
98.6%
(*.f64 1/2 (*.f64 x (+.f64 2 (*.f64 x 1/2))))
99.5%
(*.f64 1/2 (*.f64 2 x))
8.1%
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
18.7%
(*.f64 1/2 x)
Compiler

Compiled 52 to 42 computations (19.2% saved)

localize48.0ms (0.7%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
100.0%
(*.f64 x (+.f64 2 (*.f64 x 1/2)))
Compiler

Compiled 34 to 25 computations (26.5% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite74.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
842×unpow-prod-down
588×prod-diff
540×log-prod
527×log1p-expm1-u
527×expm1-log1p-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01025
110721
2149821
Stop Event
node limit
Counts
1 → 63
Calls
Call 1
Inputs
(*.f64 x (+.f64 2 (*.f64 x 1/2)))
Outputs
(+.f64 (*.f64 x 2) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 x 2))
(+.f64 0 (*.f64 x (fma.f64 x 1/2 2)))
(+.f64 (*.f64 (*.f64 x 2) 1) (*.f64 (*.f64 1/2 (pow.f64 x 2)) 1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x 1/2 2)) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x 1/2 2)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x 1/2 2)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x 1/2 2)) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/2 2)))) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 x 2) 3) (*.f64 1/8 (pow.f64 x 6))) (+.f64 (pow.f64 (*.f64 x 2) 2) (-.f64 (pow.f64 (*.f64 1/2 (pow.f64 x 2)) 2) (*.f64 (*.f64 x 2) (*.f64 1/2 (pow.f64 x 2))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x 2) 2) (pow.f64 (*.f64 1/2 (pow.f64 x 2)) 2)) (-.f64 (*.f64 x 2) (*.f64 1/2 (pow.f64 x 2))))
(/.f64 (*.f64 x (fma.f64 (pow.f64 x 3) 1/8 8)) (fma.f64 (*.f64 x 1/2) (fma.f64 x 1/2 -2) 4))
(/.f64 (*.f64 x (-.f64 4 (*.f64 (pow.f64 x 2) 1/4))) (+.f64 2 (*.f64 -1/2 x)))
(/.f64 (*.f64 (fma.f64 (pow.f64 x 3) 1/8 8) x) (fma.f64 (*.f64 x 1/2) (fma.f64 x 1/2 -2) 4))
(/.f64 (*.f64 (-.f64 4 (*.f64 (pow.f64 x 2) 1/4)) x) (+.f64 2 (*.f64 -1/2 x)))
(pow.f64 (*.f64 x (fma.f64 x 1/2 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 1/2 2))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x 1/2 2)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x 1/2 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x 1/2 2))) 2)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 x (fma.f64 x 1/2 2))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (fma.f64 x 1/2 2)))) 2)) (cbrt.f64 (log.f64 (*.f64 x (fma.f64 x 1/2 2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (fma.f64 x 1/2 2))))) (sqrt.f64 (log.f64 (*.f64 x (fma.f64 x 1/2 2)))))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/2 2)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x 1/2 2)) x))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/2 2)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/2 2))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x 1/2 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x 1/2 2))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x 1/2 2))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (fma.f64 x 1/2 2)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (fma.f64 x 1/2 2)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (fma.f64 x 1/2 2)))) 2))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (fma.f64 x 1/2 2)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (fma.f64 x 1/2 2))))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (*.f64 (log.f64 (fma.f64 x 1/2 2)) 1)))
(exp.f64 (+.f64 (log.f64 (fma.f64 x 1/2 2)) (*.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x 1/2 2)) 1) (log.f64 x)))
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x 1/2 2)) 1) (*.f64 (log.f64 x) 1)))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x 1/2 2))))
(fma.f64 x 2 (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 x (*.f64 x 1/2) (*.f64 x 2))
(fma.f64 2 x (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 1/2 (pow.f64 x 2) (*.f64 x 2))
(fma.f64 (*.f64 x 1/2) x (*.f64 x 2))
(fma.f64 1 (*.f64 x 2) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 1 (*.f64 1/2 (pow.f64 x 2)) (*.f64 x 2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (*.f64 (cbrt.f64 (*.f64 x 1/2)) x) (*.f64 x 2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 2) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x 1/2)) (*.f64 x 2))
(fma.f64 (pow.f64 x 2) 1/2 (*.f64 x 2))
(fma.f64 (sqrt.f64 (*.f64 x 1/2)) (*.f64 (sqrt.f64 (*.f64 x 1/2)) x) (*.f64 x 2))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 2) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x 1/2)) (*.f64 x 2))
(fma.f64 (*.f64 x 2) 1 (*.f64 (*.f64 1/2 (pow.f64 x 2)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 x 2))) 2) (cbrt.f64 (*.f64 1/2 (pow.f64 x 2))) (*.f64 x 2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 2)) 2) (cbrt.f64 (*.f64 x 2)) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 (sqrt.f64 (*.f64 x 2)) (sqrt.f64 (*.f64 x 2)) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 (sqrt.f64 (*.f64 1/2 (pow.f64 x 2))) (sqrt.f64 (*.f64 1/2 (pow.f64 x 2))) (*.f64 x 2))
(fma.f64 (*.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x 2))
(fma.f64 (*.f64 (*.f64 x 1/2) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x 2))
(fma.f64 (*.f64 2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2)) (cbrt.f64 (*.f64 x 1/2)) (*.f64 x 2))
(fma.f64 (*.f64 x (sqrt.f64 (*.f64 x 1/2))) (sqrt.f64 (*.f64 x 1/2)) (*.f64 x 2))

simplify72.0ms (1%)

Algorithm
egg-herbie
Rules
826×fma-def
768×associate-+r+
756×associate-+l+
500×cancel-sign-sub-inv
448×log-prod
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01802334
14271879
210741859
337221855
Stop Event
node limit
Counts
75 → 81
Calls
Call 1
Inputs
(*.f64 2 x)
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 2 x))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 2 x))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 2 x))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 2 x))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 2 x))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 2 x))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 2 x))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 2 x))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 2 x))
(+.f64 (*.f64 x 2) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 x 2))
(+.f64 0 (*.f64 x (fma.f64 x 1/2 2)))
(+.f64 (*.f64 (*.f64 x 2) 1) (*.f64 (*.f64 1/2 (pow.f64 x 2)) 1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x 1/2 2)) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x 1/2 2)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x 1/2 2)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x 1/2 2)) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/2 2)))) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 x 2) 3) (*.f64 1/8 (pow.f64 x 6))) (+.f64 (pow.f64 (*.f64 x 2) 2) (-.f64 (pow.f64 (*.f64 1/2 (pow.f64 x 2)) 2) (*.f64 (*.f64 x 2) (*.f64 1/2 (pow.f64 x 2))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x 2) 2) (pow.f64 (*.f64 1/2 (pow.f64 x 2)) 2)) (-.f64 (*.f64 x 2) (*.f64 1/2 (pow.f64 x 2))))
(/.f64 (*.f64 x (fma.f64 (pow.f64 x 3) 1/8 8)) (fma.f64 (*.f64 x 1/2) (fma.f64 x 1/2 -2) 4))
(/.f64 (*.f64 x (-.f64 4 (*.f64 (pow.f64 x 2) 1/4))) (+.f64 2 (*.f64 -1/2 x)))
(/.f64 (*.f64 (fma.f64 (pow.f64 x 3) 1/8 8) x) (fma.f64 (*.f64 x 1/2) (fma.f64 x 1/2 -2) 4))
(/.f64 (*.f64 (-.f64 4 (*.f64 (pow.f64 x 2) 1/4)) x) (+.f64 2 (*.f64 -1/2 x)))
(pow.f64 (*.f64 x (fma.f64 x 1/2 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 1/2 2))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x 1/2 2)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x 1/2 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x 1/2 2))) 2)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 x (fma.f64 x 1/2 2))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (fma.f64 x 1/2 2)))) 2)) (cbrt.f64 (log.f64 (*.f64 x (fma.f64 x 1/2 2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (fma.f64 x 1/2 2))))) (sqrt.f64 (log.f64 (*.f64 x (fma.f64 x 1/2 2)))))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/2 2)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x 1/2 2)) x))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/2 2)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/2 2))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x 1/2 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x 1/2 2))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x 1/2 2))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (fma.f64 x 1/2 2)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (fma.f64 x 1/2 2)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (fma.f64 x 1/2 2)))) 2))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (fma.f64 x 1/2 2)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (fma.f64 x 1/2 2))))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (*.f64 (log.f64 (fma.f64 x 1/2 2)) 1)))
(exp.f64 (+.f64 (log.f64 (fma.f64 x 1/2 2)) (*.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x 1/2 2)) 1) (log.f64 x)))
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x 1/2 2)) 1) (*.f64 (log.f64 x) 1)))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x 1/2 2))))
(fma.f64 x 2 (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 x (*.f64 x 1/2) (*.f64 x 2))
(fma.f64 2 x (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 1/2 (pow.f64 x 2) (*.f64 x 2))
(fma.f64 (*.f64 x 1/2) x (*.f64 x 2))
(fma.f64 1 (*.f64 x 2) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 1 (*.f64 1/2 (pow.f64 x 2)) (*.f64 x 2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (*.f64 (cbrt.f64 (*.f64 x 1/2)) x) (*.f64 x 2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 2) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x 1/2)) (*.f64 x 2))
(fma.f64 (pow.f64 x 2) 1/2 (*.f64 x 2))
(fma.f64 (sqrt.f64 (*.f64 x 1/2)) (*.f64 (sqrt.f64 (*.f64 x 1/2)) x) (*.f64 x 2))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 2) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x 1/2)) (*.f64 x 2))
(fma.f64 (*.f64 x 2) 1 (*.f64 (*.f64 1/2 (pow.f64 x 2)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 x 2))) 2) (cbrt.f64 (*.f64 1/2 (pow.f64 x 2))) (*.f64 x 2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 2)) 2) (cbrt.f64 (*.f64 x 2)) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 (sqrt.f64 (*.f64 x 2)) (sqrt.f64 (*.f64 x 2)) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 (sqrt.f64 (*.f64 1/2 (pow.f64 x 2))) (sqrt.f64 (*.f64 1/2 (pow.f64 x 2))) (*.f64 x 2))
(fma.f64 (*.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x 2))
(fma.f64 (*.f64 (*.f64 x 1/2) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x 2))
(fma.f64 (*.f64 2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2)) (cbrt.f64 (*.f64 x 1/2)) (*.f64 x 2))
(fma.f64 (*.f64 x (sqrt.f64 (*.f64 x 1/2))) (sqrt.f64 (*.f64 x 1/2)) (*.f64 x 2))
Outputs
(*.f64 2 x)
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 2 x))
(fma.f64 1/2 (pow.f64 x 2) (*.f64 2 x))
(*.f64 x (fma.f64 x 1/2 2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 2 x))
(fma.f64 1/2 (pow.f64 x 2) (*.f64 2 x))
(*.f64 x (fma.f64 x 1/2 2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 2 x))
(fma.f64 1/2 (pow.f64 x 2) (*.f64 2 x))
(*.f64 x (fma.f64 x 1/2 2))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 2 x))
(fma.f64 1/2 (pow.f64 x 2) (*.f64 2 x))
(*.f64 x (fma.f64 x 1/2 2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 2 x))
(fma.f64 1/2 (pow.f64 x 2) (*.f64 2 x))
(*.f64 x (fma.f64 x 1/2 2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 2 x))
(fma.f64 1/2 (pow.f64 x 2) (*.f64 2 x))
(*.f64 x (fma.f64 x 1/2 2))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 2 x))
(fma.f64 1/2 (pow.f64 x 2) (*.f64 2 x))
(*.f64 x (fma.f64 x 1/2 2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 2 x))
(fma.f64 1/2 (pow.f64 x 2) (*.f64 2 x))
(*.f64 x (fma.f64 x 1/2 2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 2 x))
(fma.f64 1/2 (pow.f64 x 2) (*.f64 2 x))
(*.f64 x (fma.f64 x 1/2 2))
(+.f64 (*.f64 x 2) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 1/2 (pow.f64 x 2) (*.f64 2 x))
(*.f64 x (fma.f64 x 1/2 2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 x 2))
(fma.f64 1/2 (pow.f64 x 2) (*.f64 2 x))
(*.f64 x (fma.f64 x 1/2 2))
(+.f64 0 (*.f64 x (fma.f64 x 1/2 2)))
(fma.f64 1/2 (pow.f64 x 2) (*.f64 2 x))
(*.f64 x (fma.f64 x 1/2 2))
(+.f64 (*.f64 (*.f64 x 2) 1) (*.f64 (*.f64 1/2 (pow.f64 x 2)) 1))
(fma.f64 1/2 (pow.f64 x 2) (*.f64 2 x))
(*.f64 x (fma.f64 x 1/2 2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x 1/2 2)) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x 1/2 2)) x))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x 1/2 2)) x))))
(*.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x 1/2 2)) x))) 3)
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x 1/2 2)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x 1/2 2)) x))))
(fma.f64 1/2 (pow.f64 x 2) (*.f64 2 x))
(*.f64 x (fma.f64 x 1/2 2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/2 2)))) 1)
(fma.f64 1/2 (pow.f64 x 2) (*.f64 2 x))
(*.f64 x (fma.f64 x 1/2 2))
(/.f64 (+.f64 (pow.f64 (*.f64 x 2) 3) (*.f64 1/8 (pow.f64 x 6))) (+.f64 (pow.f64 (*.f64 x 2) 2) (-.f64 (pow.f64 (*.f64 1/2 (pow.f64 x 2)) 2) (*.f64 (*.f64 x 2) (*.f64 1/2 (pow.f64 x 2))))))
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) 8) (*.f64 1/8 (pow.f64 x 6))) (+.f64 (pow.f64 (*.f64 2 x) 2) (-.f64 (pow.f64 (*.f64 1/2 (pow.f64 x 2)) 2) (*.f64 x (*.f64 2 (*.f64 1/2 (pow.f64 x 2)))))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (*.f64 1/8 (pow.f64 x 6))) (+.f64 (*.f64 (pow.f64 x 2) 4) (-.f64 (pow.f64 (*.f64 1/2 (pow.f64 x 2)) 2) (pow.f64 x 3))))
(/.f64 (*.f64 (pow.f64 x 3) (fma.f64 1/8 (pow.f64 x 3) 8)) (-.f64 (*.f64 1/4 (pow.f64 x 4)) (*.f64 (pow.f64 x 2) (-.f64 x 4))))
(/.f64 (*.f64 (pow.f64 x 3) (fma.f64 1/8 (pow.f64 x 3) 8)) (fma.f64 1/4 (pow.f64 x 4) (*.f64 (pow.f64 x 2) (-.f64 4 x))))
(/.f64 (-.f64 (pow.f64 (*.f64 x 2) 2) (pow.f64 (*.f64 1/2 (pow.f64 x 2)) 2)) (-.f64 (*.f64 x 2) (*.f64 1/2 (pow.f64 x 2))))
(fma.f64 1/2 (pow.f64 x 2) (*.f64 2 x))
(*.f64 x (fma.f64 x 1/2 2))
(/.f64 (*.f64 x (fma.f64 (pow.f64 x 3) 1/8 8)) (fma.f64 (*.f64 x 1/2) (fma.f64 x 1/2 -2) 4))
(/.f64 x (/.f64 (fma.f64 (*.f64 x 1/2) (fma.f64 x 1/2 -2) 4) (fma.f64 (pow.f64 x 3) 1/8 8)))
(*.f64 (/.f64 x (fma.f64 (*.f64 x 1/2) (fma.f64 x 1/2 -2) 4)) (fma.f64 (pow.f64 x 3) 1/8 8))
(*.f64 (fma.f64 1/8 (pow.f64 x 3) 8) (/.f64 x (fma.f64 1/2 (*.f64 x (fma.f64 x 1/2 -2)) 4)))
(*.f64 (fma.f64 1/8 (pow.f64 x 3) 8) (/.f64 x (fma.f64 (*.f64 x 1/2) (fma.f64 x 1/2 -2) 4)))
(/.f64 (*.f64 x (-.f64 4 (*.f64 (pow.f64 x 2) 1/4))) (+.f64 2 (*.f64 -1/2 x)))
(/.f64 x (/.f64 (+.f64 2 (*.f64 x -1/2)) (-.f64 4 (*.f64 (pow.f64 x 2) 1/4))))
(*.f64 (/.f64 x (fma.f64 x -1/2 2)) (+.f64 4 (*.f64 (pow.f64 x 2) -1/4)))
(*.f64 (fma.f64 (pow.f64 x 2) -1/4 4) (/.f64 x (fma.f64 x -1/2 2)))
(/.f64 (*.f64 (fma.f64 (pow.f64 x 3) 1/8 8) x) (fma.f64 (*.f64 x 1/2) (fma.f64 x 1/2 -2) 4))
(/.f64 x (/.f64 (fma.f64 (*.f64 x 1/2) (fma.f64 x 1/2 -2) 4) (fma.f64 (pow.f64 x 3) 1/8 8)))
(*.f64 (/.f64 x (fma.f64 (*.f64 x 1/2) (fma.f64 x 1/2 -2) 4)) (fma.f64 (pow.f64 x 3) 1/8 8))
(*.f64 (fma.f64 1/8 (pow.f64 x 3) 8) (/.f64 x (fma.f64 1/2 (*.f64 x (fma.f64 x 1/2 -2)) 4)))
(*.f64 (fma.f64 1/8 (pow.f64 x 3) 8) (/.f64 x (fma.f64 (*.f64 x 1/2) (fma.f64 x 1/2 -2) 4)))
(/.f64 (*.f64 (-.f64 4 (*.f64 (pow.f64 x 2) 1/4)) x) (+.f64 2 (*.f64 -1/2 x)))
(/.f64 x (/.f64 (+.f64 2 (*.f64 x -1/2)) (-.f64 4 (*.f64 (pow.f64 x 2) 1/4))))
(*.f64 (/.f64 x (fma.f64 x -1/2 2)) (+.f64 4 (*.f64 (pow.f64 x 2) -1/4)))
(*.f64 (fma.f64 (pow.f64 x 2) -1/4 4) (/.f64 x (fma.f64 x -1/2 2)))
(pow.f64 (*.f64 x (fma.f64 x 1/2 2)) 1)
(fma.f64 1/2 (pow.f64 x 2) (*.f64 2 x))
(*.f64 x (fma.f64 x 1/2 2))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 1/2 2))) 3)
(fma.f64 1/2 (pow.f64 x 2) (*.f64 2 x))
(*.f64 x (fma.f64 x 1/2 2))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x 1/2 2)) 2) 1/2)
(fma.f64 1/2 (pow.f64 x 2) (*.f64 2 x))
(*.f64 x (fma.f64 x 1/2 2))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x 1/2 2)) 3) 1/3)
(fma.f64 1/2 (pow.f64 x 2) (*.f64 2 x))
(*.f64 x (fma.f64 x 1/2 2))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x 1/2 2))) 2)
(fma.f64 1/2 (pow.f64 x 2) (*.f64 2 x))
(*.f64 x (fma.f64 x 1/2 2))
(pow.f64 (exp.f64 1) (log.f64 (*.f64 x (fma.f64 x 1/2 2))))
(fma.f64 1/2 (pow.f64 x 2) (*.f64 2 x))
(*.f64 x (fma.f64 x 1/2 2))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (fma.f64 x 1/2 2)))) 2)) (cbrt.f64 (log.f64 (*.f64 x (fma.f64 x 1/2 2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (fma.f64 x 1/2 2))))) (sqrt.f64 (log.f64 (*.f64 x (fma.f64 x 1/2 2)))))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/2 2)) 2))
(fma.f64 1/2 (pow.f64 x 2) (*.f64 2 x))
(*.f64 x (fma.f64 x 1/2 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x 1/2 2)) x))
(fma.f64 1/2 (pow.f64 x 2) (*.f64 2 x))
(*.f64 x (fma.f64 x 1/2 2))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/2 2)) 3))
(fma.f64 1/2 (pow.f64 x 2) (*.f64 2 x))
(*.f64 x (fma.f64 x 1/2 2))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/2 2))))
(fma.f64 1/2 (pow.f64 x 2) (*.f64 2 x))
(*.f64 x (fma.f64 x 1/2 2))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x 1/2 2))))
(fma.f64 1/2 (pow.f64 x 2) (*.f64 2 x))
(*.f64 x (fma.f64 x 1/2 2))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x 1/2 2))) 1))
(fma.f64 1/2 (pow.f64 x 2) (*.f64 2 x))
(*.f64 x (fma.f64 x 1/2 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x 1/2 2))) 1) 1))
(fma.f64 1/2 (pow.f64 x 2) (*.f64 2 x))
(*.f64 x (fma.f64 x 1/2 2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (fma.f64 x 1/2 2)))) 3))
(fma.f64 1/2 (pow.f64 x 2) (*.f64 2 x))
(*.f64 x (fma.f64 x 1/2 2))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (fma.f64 x 1/2 2)))) 1/3))
(fma.f64 1/2 (pow.f64 x 2) (*.f64 2 x))
(*.f64 x (fma.f64 x 1/2 2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (fma.f64 x 1/2 2)))) 2))
(fma.f64 1/2 (pow.f64 x 2) (*.f64 2 x))
(*.f64 x (fma.f64 x 1/2 2))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (fma.f64 x 1/2 2)) 1)))
(fma.f64 1/2 (pow.f64 x 2) (*.f64 2 x))
(*.f64 x (fma.f64 x 1/2 2))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (fma.f64 x 1/2 2))))
(fma.f64 1/2 (pow.f64 x 2) (*.f64 2 x))
(*.f64 x (fma.f64 x 1/2 2))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (*.f64 (log.f64 (fma.f64 x 1/2 2)) 1)))
(fma.f64 1/2 (pow.f64 x 2) (*.f64 2 x))
(*.f64 x (fma.f64 x 1/2 2))
(exp.f64 (+.f64 (log.f64 (fma.f64 x 1/2 2)) (*.f64 (log.f64 x) 1)))
(fma.f64 1/2 (pow.f64 x 2) (*.f64 2 x))
(*.f64 x (fma.f64 x 1/2 2))
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x 1/2 2)) 1) (log.f64 x)))
(fma.f64 1/2 (pow.f64 x 2) (*.f64 2 x))
(*.f64 x (fma.f64 x 1/2 2))
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x 1/2 2)) 1) (*.f64 (log.f64 x) 1)))
(fma.f64 1/2 (pow.f64 x 2) (*.f64 2 x))
(*.f64 x (fma.f64 x 1/2 2))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x 1/2 2))))
(fma.f64 1/2 (pow.f64 x 2) (*.f64 2 x))
(*.f64 x (fma.f64 x 1/2 2))
(fma.f64 x 2 (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 1/2 (pow.f64 x 2) (*.f64 2 x))
(*.f64 x (fma.f64 x 1/2 2))
(fma.f64 x (*.f64 x 1/2) (*.f64 x 2))
(fma.f64 1/2 (pow.f64 x 2) (*.f64 2 x))
(*.f64 x (fma.f64 x 1/2 2))
(fma.f64 2 x (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 1/2 (pow.f64 x 2) (*.f64 2 x))
(*.f64 x (fma.f64 x 1/2 2))
(fma.f64 1/2 (pow.f64 x 2) (*.f64 x 2))
(fma.f64 1/2 (pow.f64 x 2) (*.f64 2 x))
(*.f64 x (fma.f64 x 1/2 2))
(fma.f64 (*.f64 x 1/2) x (*.f64 x 2))
(fma.f64 1/2 (pow.f64 x 2) (*.f64 2 x))
(*.f64 x (fma.f64 x 1/2 2))
(fma.f64 1 (*.f64 x 2) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 1/2 (pow.f64 x 2) (*.f64 2 x))
(*.f64 x (fma.f64 x 1/2 2))
(fma.f64 1 (*.f64 1/2 (pow.f64 x 2)) (*.f64 x 2))
(fma.f64 1/2 (pow.f64 x 2) (*.f64 2 x))
(*.f64 x (fma.f64 x 1/2 2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (*.f64 (cbrt.f64 (*.f64 x 1/2)) x) (*.f64 x 2))
(fma.f64 1/2 (pow.f64 x 2) (*.f64 2 x))
(*.f64 x (fma.f64 x 1/2 2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 2) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 1/2 (pow.f64 x 2) (*.f64 2 x))
(*.f64 x (fma.f64 x 1/2 2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x 1/2)) (*.f64 x 2))
(fma.f64 1/2 (pow.f64 x 2) (*.f64 2 x))
(*.f64 x (fma.f64 x 1/2 2))
(fma.f64 (pow.f64 x 2) 1/2 (*.f64 x 2))
(fma.f64 1/2 (pow.f64 x 2) (*.f64 2 x))
(*.f64 x (fma.f64 x 1/2 2))
(fma.f64 (sqrt.f64 (*.f64 x 1/2)) (*.f64 (sqrt.f64 (*.f64 x 1/2)) x) (*.f64 x 2))
(fma.f64 1/2 (pow.f64 x 2) (*.f64 2 x))
(*.f64 x (fma.f64 x 1/2 2))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 2) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 1/2 (pow.f64 x 2) (*.f64 2 x))
(*.f64 x (fma.f64 x 1/2 2))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x 1/2)) (*.f64 x 2))
(fma.f64 1/2 (pow.f64 x 2) (*.f64 2 x))
(*.f64 x (fma.f64 x 1/2 2))
(fma.f64 (*.f64 x 2) 1 (*.f64 (*.f64 1/2 (pow.f64 x 2)) 1))
(fma.f64 1/2 (pow.f64 x 2) (*.f64 2 x))
(*.f64 x (fma.f64 x 1/2 2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 x 2))) 2) (cbrt.f64 (*.f64 1/2 (pow.f64 x 2))) (*.f64 x 2))
(fma.f64 1/2 (pow.f64 x 2) (*.f64 2 x))
(*.f64 x (fma.f64 x 1/2 2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 2)) 2) (cbrt.f64 (*.f64 x 2)) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 1/2 (pow.f64 x 2) (*.f64 2 x))
(*.f64 x (fma.f64 x 1/2 2))
(fma.f64 (sqrt.f64 (*.f64 x 2)) (sqrt.f64 (*.f64 x 2)) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 1/2 (pow.f64 x 2) (*.f64 2 x))
(*.f64 x (fma.f64 x 1/2 2))
(fma.f64 (sqrt.f64 (*.f64 1/2 (pow.f64 x 2))) (sqrt.f64 (*.f64 1/2 (pow.f64 x 2))) (*.f64 x 2))
(fma.f64 1/2 (pow.f64 x 2) (*.f64 2 x))
(*.f64 x (fma.f64 x 1/2 2))
(fma.f64 (*.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x 2))
(fma.f64 1/2 (pow.f64 x 2) (*.f64 2 x))
(*.f64 x (fma.f64 x 1/2 2))
(fma.f64 (*.f64 (*.f64 x 1/2) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x 2))
(fma.f64 1/2 (pow.f64 x 2) (*.f64 2 x))
(*.f64 x (fma.f64 x 1/2 2))
(fma.f64 (*.f64 2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 1/2 (pow.f64 x 2) (*.f64 2 x))
(*.f64 x (fma.f64 x 1/2 2))
(fma.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 1/2 (pow.f64 x 2) (*.f64 2 x))
(*.f64 x (fma.f64 x 1/2 2))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2)) (cbrt.f64 (*.f64 x 1/2)) (*.f64 x 2))
(fma.f64 1/2 (pow.f64 x 2) (*.f64 2 x))
(*.f64 x (fma.f64 x 1/2 2))
(fma.f64 (*.f64 x (sqrt.f64 (*.f64 x 1/2))) (sqrt.f64 (*.f64 x 1/2)) (*.f64 x 2))
(fma.f64 1/2 (pow.f64 x 2) (*.f64 2 x))
(*.f64 x (fma.f64 x 1/2 2))

eval30.0ms (0.4%)

Compiler

Compiled 1231 to 982 computations (20.2% saved)

prune16.0ms (0.2%)

Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New81081
Fresh000
Picked022
Done044
Total81687
Accuracy
100.0%
Counts
87 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
99.7%
(*.f64 1/2 (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))
98.6%
(*.f64 1/2 (*.f64 x (+.f64 2 (*.f64 x 1/2))))
99.5%
(*.f64 1/2 (*.f64 2 x))
8.1%
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
18.7%
(*.f64 1/2 x)
Compiler

Compiled 118 to 92 computations (22% saved)

regimes11.0ms (0.2%)

Counts
8 → 1
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 1/2 (*.f64 2 x))
(*.f64 1/2 (*.f64 x (+.f64 2 (*.f64 x 1/2))))
(*.f64 1/2 (-.f64 x (log1p.f64 (neg.f64 x))))
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 1/2 (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
Outputs
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
Calls

4 calls:

4.0ms
x
2.0ms
(/.f64 (+.f64 1 x) (-.f64 1 x))
2.0ms
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
2.0ms
(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
100.0%1(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
100.0%1(/.f64 (+.f64 1 x) (-.f64 1 x))
Compiler

Compiled 32 to 25 computations (21.9% saved)

regimes13.0ms (0.2%)

Counts
7 → 1
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 1/2 (*.f64 2 x))
(*.f64 1/2 (*.f64 x (+.f64 2 (*.f64 x 1/2))))
(*.f64 1/2 (-.f64 x (log1p.f64 (neg.f64 x))))
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 1/2 (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
Outputs
(*.f64 1/2 (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))
Calls

4 calls:

6.0ms
x
2.0ms
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
2.0ms
(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
2.0ms
(/.f64 (+.f64 1 x) (-.f64 1 x))
Results
AccuracySegmentsBranch
99.7%1x
99.7%1(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
99.7%1(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
99.7%1(/.f64 (+.f64 1 x) (-.f64 1 x))
Compiler

Compiled 32 to 25 computations (21.9% saved)

regimes8.0ms (0.1%)

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

3 calls:

4.0ms
x
2.0ms
(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
2.0ms
(/.f64 (+.f64 1 x) (-.f64 1 x))
Results
AccuracySegmentsBranch
99.5%1x
99.5%1(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
99.5%1(/.f64 (+.f64 1 x) (-.f64 1 x))
Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
18.7%1x
Compiler

Compiled 2 to 1 computations (50% saved)

simplify4.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02294
13594
24094
34394
44494
Stop Event
done
saturated
Calls
Call 1
Inputs
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(*.f64 1/2 (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))
(*.f64 1/2 (*.f64 2 x))
(*.f64 1/2 x)
Outputs
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(*.f64 1/2 (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))
(*.f64 1/2 (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 x 2)))
(*.f64 1/2 (*.f64 2 x))
(*.f64 1/2 (*.f64 x 2))
(*.f64 1/2 x)
Compiler

Compiled 31 to 25 computations (19.4% saved)

soundness1.2s (16.1%)

Rules
1946×fma-def
1946×fma-def
1402×fma-neg
1402×fma-neg
1276×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022144
151124
285124
3168124
4391124
5915124
62246124
73420124
84980124
95860124
106148124
116388124
126525124
136639124
146926124
157106124
167192124
177503124
187623124
197651124
207671124
217679124
227679124
022144
151124
285124
3168124
4391124
5915124
62246124
73420124
84980124
95860124
106148124
116388124
126525124
136639124
146926124
157106124
167192124
177503124
187623124
197651124
207671124
217679124
227679124
Stop Event
node limit
node limit
Compiler

Compiled 84 to 65 computations (22.6% saved)

end0.0ms (0%)

preprocess131.0ms (1.8%)

Remove

(negabs x)

Compiler

Compiled 172 to 136 computations (20.9% saved)

Profiling

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