Hyperbolic arc-(co)tangent

Time bar (total: 7.8s)

analyze4.0ms (0%)

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)

sample4.1s (52.5%)

Results
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0.0ms256valid
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2.0ms1024valid
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1.0ms2048valid
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0.0ms256valid
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0.0ms256valid
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0.0ms256valid
0.0ms256valid
0.0ms1024valid
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1.0ms2048valid
0.0ms1024valid
0.0ms1024valid
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2.0ms1024valid
0.0ms256valid
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0.0ms512valid
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0.0ms512valid
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0.0ms1024valid
1.0ms2048valid
0.0ms1024valid
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0.0ms1024valid
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1.0ms2048valid
0.0ms512valid
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1.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
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0.0ms256valid
1.0ms1024valid
0.0ms1024valid
1.0ms1024valid
Bogosity

preprocess792.0ms (10.1%)

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))))
8.0%
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
Compiler

Compiled 20 to 16 computations (20% saved)

localize224.0ms (2.9%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
100.0%
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
100.0%
(/.f64 (+.f64 1 x) (-.f64 1 x))
8.0%
(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
Compiler

Compiled 59 to 34 computations (42.4% saved)

series5.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

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

rewrite220.0ms (2.8%)

Algorithm
batch-egg-rewrite
Rules
1236×prod-diff
674×log1p-expm1-u
672×expm1-log1p-u
634×fma-def
620×log-prod
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01575
121867
2293367
Stop Event
node limit
Counts
3 → 281
Calls
Call 1
Inputs
(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
Outputs
(+.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x)))
(+.f64 (log1p.f64 x) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(+.f64 (log1p.f64 x) (log.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 1 x)))))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 0)
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(+.f64 (-.f64 (log1p.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 0 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(+.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 x))
(+.f64 (log.f64 (pow.f64 (+.f64 1 x) 2)) (log.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 1 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (log.f64 (*.f64 (cbrt.f64 (+.f64 1 x)) (/.f64 1 (+.f64 1 x)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 1 x))) (log.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 1 (+.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 (sqrt.f64 (/.f64 1 (+.f64 1 x)))))
(+.f64 (log.f64 (+.f64 x -1)) (log.f64 (/.f64 1 (+.f64 x -1))))
(+.f64 (log.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (log.f64 (/.f64 (+.f64 1 x) (cbrt.f64 (+.f64 1 x)))))
(+.f64 (log.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x)))) (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 (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 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (-.f64 (log1p.f64 x) (log1p.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 (+.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 (log.f64 (*.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) (+.f64 1 x))) (neg.f64 (log1p.f64 x)))
(-.f64 (log1p.f64 x) (log1p.f64 x))
(-.f64 (log1p.f64 x) (log.f64 (*.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) (+.f64 1 x))))
(-.f64 (log1p.f64 x) (log.f64 (*.f64 (+.f64 1 x) (/.f64 (+.f64 1 x) (+.f64 1 x)))))
(-.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(-.f64 0 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(-.f64 0 (log.f64 (/.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) 1)))
(-.f64 (log.f64 (pow.f64 (+.f64 1 x) 2)) (log.f64 (pow.f64 (+.f64 1 x) 2)))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))) 1)
(-.f64 (log1p.f64 (pow.f64 x 3)) (log.f64 (*.f64 (+.f64 1 x) (fma.f64 x (+.f64 1 x) 1))))
(-.f64 (log1p.f64 (pow.f64 x 2)) (log.f64 (pow.f64 (+.f64 1 x) 2)))
(-.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 (cbrt.f64 (+.f64 1 x))) (log.f64 (cbrt.f64 (+.f64 1 x))))
(-.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 (sqrt.f64 (+.f64 1 x))))
(-.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 (/.f64 (+.f64 1 x) (sqrt.f64 (+.f64 1 x)))))
(-.f64 (log.f64 -1) (log.f64 (neg.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))))
(-.f64 (log.f64 (+.f64 x -1)) (log.f64 (+.f64 x -1)))
(-.f64 (log.f64 (+.f64 x -1)) (log.f64 (*.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) (+.f64 x -1))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) 3) (fma.f64 (log1p.f64 x) (log.f64 (pow.f64 (+.f64 1 x) 2)) (pow.f64 (log1p.f64 x) 2))) (/.f64 (pow.f64 (log1p.f64 x) 3) (fma.f64 (log1p.f64 x) (log.f64 (pow.f64 (+.f64 1 x) 2)) (pow.f64 (log1p.f64 x) 2))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) (log.f64 (pow.f64 (+.f64 1 x) 2))) (/.f64 (pow.f64 (log1p.f64 x) 2) (log.f64 (pow.f64 (+.f64 1 x) 2))))
(-.f64 (log.f64 (/.f64 (+.f64 1 x) (sqrt.f64 (+.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 1 x))))
(-.f64 (log.f64 (*.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) (+.f64 1 x))) (log1p.f64 x))
(-.f64 (log.f64 (cbrt.f64 (+.f64 x -1))) (log.f64 (cbrt.f64 (+.f64 x -1))))
(-.f64 (log.f64 (sqrt.f64 (+.f64 x -1))) (log.f64 (sqrt.f64 (+.f64 x -1))))
(-.f64 (log.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) 1)) (log.f64 (*.f64 (fma.f64 x (+.f64 1 x) 1) (+.f64 1 x))))
(-.f64 (log.f64 (*.f64 (+.f64 1 (pow.f64 x 2)) 1)) (log.f64 (pow.f64 (+.f64 1 x) 2)))
(-.f64 (log.f64 (neg.f64 (+.f64 x -1))) (log.f64 (neg.f64 (+.f64 x -1))))
(-.f64 (log.f64 (/.f64 (+.f64 1 x) 1)) (log1p.f64 x))
(-.f64 (log.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 1 (+.f64 1 x)))) (log1p.f64 (fma.f64 x x x)))
(-.f64 (log.f64 (/.f64 (+.f64 1 x) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (log.f64 (cbrt.f64 (+.f64 1 x))))
(-.f64 (log.f64 (*.f64 (+.f64 1 x) (/.f64 (+.f64 1 x) (+.f64 1 x)))) (log1p.f64 x))
(-.f64 (log.f64 (*.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) (+.f64 x -1))) (log.f64 (+.f64 x -1)))
(-.f64 (log.f64 (*.f64 (+.f64 x -1) (+.f64 x -1))) (log.f64 (*.f64 (+.f64 x -1) (+.f64 x -1))))
(-.f64 (log.f64 (*.f64 (+.f64 1 x) (+.f64 x -1))) (log.f64 (*.f64 (+.f64 1 x) (+.f64 x -1))))
(-.f64 (log.f64 (*.f64 (+.f64 x -1) 1)) (log.f64 (*.f64 (+.f64 x -1) (/.f64 (+.f64 1 x) (+.f64 1 x)))))
(-.f64 (log.f64 (*.f64 (+.f64 x -1) (/.f64 (+.f64 1 x) (+.f64 1 x)))) (log.f64 (+.f64 x -1)))
(-.f64 (log.f64 (*.f64 (+.f64 x -1) (+.f64 1 x))) (log.f64 (*.f64 (+.f64 x -1) (+.f64 1 x))))
(*.f64 1 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(*.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1)
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (/.f64 1 (fma.f64 (log1p.f64 x) (log.f64 (pow.f64 (+.f64 1 x) 2)) (pow.f64 (log1p.f64 x) 2))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (log.f64 (pow.f64 (+.f64 1 x) 2))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))))
(/.f64 1 (/.f64 (fma.f64 (log1p.f64 x) (log.f64 (pow.f64 (+.f64 1 x) 2)) (pow.f64 (log1p.f64 x) 2)) (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3))))
(/.f64 1 (/.f64 (log.f64 (pow.f64 (+.f64 1 x) 2)) (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (fma.f64 (log1p.f64 x) (log.f64 (pow.f64 (+.f64 1 x) 2)) (pow.f64 (log1p.f64 x) 2)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (log.f64 (pow.f64 (+.f64 1 x) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3))) (neg.f64 (fma.f64 (log1p.f64 x) (log.f64 (pow.f64 (+.f64 1 x) 2)) (pow.f64 (log1p.f64 x) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2))) (neg.f64 (log.f64 (pow.f64 (+.f64 1 x) 2))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (neg.f64 (log1p.f64 x)) 3)) (+.f64 (pow.f64 (log1p.f64 x) 2) (-.f64 (*.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x))) (*.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))) (-.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))))
(pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2)
(neg.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 2))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 1))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(fma.f64 1 (log1p.f64 x) (neg.f64 (log1p.f64 x)))
(fma.f64 1 (log1p.f64 x) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 1 (-.f64 (log1p.f64 x) (log1p.f64 x)) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(fma.f64 1 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
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(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2)
(neg.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 2))
(log.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))))
(log.f64 (*.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))) (/.f64 (+.f64 1 x) (+.f64 1 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))) (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 1))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(fma.f64 1 (log1p.f64 x) (neg.f64 (log1p.f64 x)))
(fma.f64 1 (log1p.f64 x) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 1 (-.f64 (log1p.f64 x) (log1p.f64 x)) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(fma.f64 1 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(fma.f64 1 (-.f64 (log1p.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 (neg.f64 (log1p.f64 x)) (log1p.f64 x))
(fma.f64 (log1p.f64 x) 1 (neg.f64 (log1p.f64 x)))
(fma.f64 (log1p.f64 x) 1 (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(fma.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1 (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(fma.f64 (-.f64 (log1p.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 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (neg.f64 (log1p.f64 x)))
(fma.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (neg.f64 (cbrt.f64 (log1p.f64 x))) (log1p.f64 x))
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (log1p.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 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2) (cbrt.f64 (-.f64 (log1p.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 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))
(fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 (sqrt.f64 (log1p.f64 x)) (neg.f64 (sqrt.f64 (log1p.f64 x))) (log1p.f64 x))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (-.f64 (log1p.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 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (/.f64 1 (fma.f64 (log1p.f64 x) (log.f64 (pow.f64 (+.f64 1 x) 2)) (pow.f64 (log1p.f64 x) 2))) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (/.f64 1 (fma.f64 (log1p.f64 x) (log.f64 (pow.f64 (+.f64 1 x) 2)) (pow.f64 (log1p.f64 x) 2))) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (/.f64 1 (fma.f64 (log1p.f64 x) (log.f64 (pow.f64 (+.f64 1 x) 2)) (pow.f64 (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 -1 (log1p.f64 x) (log1p.f64 x))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (log.f64 (pow.f64 (+.f64 1 x) 2))) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (log.f64 (pow.f64 (+.f64 1 x) 2))) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (log.f64 (pow.f64 (+.f64 1 x) 2))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.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))) (log1p.f64 x))
(fma.f64 (sqrt.f64 (neg.f64 (log1p.f64 x))) (sqrt.f64 (neg.f64 (log1p.f64 x))) (log1p.f64 x))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) (-.f64 (sqrt.f64 (log1p.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 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (log1p.f64 x)) (log1p.f64 x))

simplify85.0ms (1.1%)

Algorithm
egg-herbie
Rules
1588×fma-def
1578×times-frac
768×associate-*r*
718×associate-*l*
526×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04332644
111432515
223202438
Stop Event
node limit
Counts
317 → 275
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)))))))
(*.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))))
(*.f64 -1 (log.f64 -1))
(+.f64 (*.f64 -1 (log.f64 -1)) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 -1 (log.f64 -1)) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))))
(+.f64 (*.f64 -1 (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)))))
(+.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x)))
(+.f64 (log1p.f64 x) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(+.f64 (log1p.f64 x) (log.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 1 x)))))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 0)
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(+.f64 (-.f64 (log1p.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 0 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(+.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 x))
(+.f64 (log.f64 (pow.f64 (+.f64 1 x) 2)) (log.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 1 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (log.f64 (*.f64 (cbrt.f64 (+.f64 1 x)) (/.f64 1 (+.f64 1 x)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 1 x))) (log.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 1 (+.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 (sqrt.f64 (/.f64 1 (+.f64 1 x)))))
(+.f64 (log.f64 (+.f64 x -1)) (log.f64 (/.f64 1 (+.f64 x -1))))
(+.f64 (log.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (log.f64 (/.f64 (+.f64 1 x) (cbrt.f64 (+.f64 1 x)))))
(+.f64 (log.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x)))) (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 (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 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (-.f64 (log1p.f64 x) (log1p.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 (+.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 (log.f64 (*.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) (+.f64 1 x))) (neg.f64 (log1p.f64 x)))
(-.f64 (log1p.f64 x) (log1p.f64 x))
(-.f64 (log1p.f64 x) (log.f64 (*.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) (+.f64 1 x))))
(-.f64 (log1p.f64 x) (log.f64 (*.f64 (+.f64 1 x) (/.f64 (+.f64 1 x) (+.f64 1 x)))))
(-.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(-.f64 0 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(-.f64 0 (log.f64 (/.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) 1)))
(-.f64 (log.f64 (pow.f64 (+.f64 1 x) 2)) (log.f64 (pow.f64 (+.f64 1 x) 2)))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))) 1)
(-.f64 (log1p.f64 (pow.f64 x 3)) (log.f64 (*.f64 (+.f64 1 x) (fma.f64 x (+.f64 1 x) 1))))
(-.f64 (log1p.f64 (pow.f64 x 2)) (log.f64 (pow.f64 (+.f64 1 x) 2)))
(-.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 (cbrt.f64 (+.f64 1 x))) (log.f64 (cbrt.f64 (+.f64 1 x))))
(-.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 (sqrt.f64 (+.f64 1 x))))
(-.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 (/.f64 (+.f64 1 x) (sqrt.f64 (+.f64 1 x)))))
(-.f64 (log.f64 -1) (log.f64 (neg.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))))
(-.f64 (log.f64 (+.f64 x -1)) (log.f64 (+.f64 x -1)))
(-.f64 (log.f64 (+.f64 x -1)) (log.f64 (*.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) (+.f64 x -1))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) 3) (fma.f64 (log1p.f64 x) (log.f64 (pow.f64 (+.f64 1 x) 2)) (pow.f64 (log1p.f64 x) 2))) (/.f64 (pow.f64 (log1p.f64 x) 3) (fma.f64 (log1p.f64 x) (log.f64 (pow.f64 (+.f64 1 x) 2)) (pow.f64 (log1p.f64 x) 2))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) (log.f64 (pow.f64 (+.f64 1 x) 2))) (/.f64 (pow.f64 (log1p.f64 x) 2) (log.f64 (pow.f64 (+.f64 1 x) 2))))
(-.f64 (log.f64 (/.f64 (+.f64 1 x) (sqrt.f64 (+.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 1 x))))
(-.f64 (log.f64 (*.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) (+.f64 1 x))) (log1p.f64 x))
(-.f64 (log.f64 (cbrt.f64 (+.f64 x -1))) (log.f64 (cbrt.f64 (+.f64 x -1))))
(-.f64 (log.f64 (sqrt.f64 (+.f64 x -1))) (log.f64 (sqrt.f64 (+.f64 x -1))))
(-.f64 (log.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) 1)) (log.f64 (*.f64 (fma.f64 x (+.f64 1 x) 1) (+.f64 1 x))))
(-.f64 (log.f64 (*.f64 (+.f64 1 (pow.f64 x 2)) 1)) (log.f64 (pow.f64 (+.f64 1 x) 2)))
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(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(+.f64 (-.f64 (log1p.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 0 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(+.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 x))
(+.f64 (log.f64 (pow.f64 (+.f64 1 x) 2)) (log.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 1 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (log.f64 (*.f64 (cbrt.f64 (+.f64 1 x)) (/.f64 1 (+.f64 1 x)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 1 x))) (log.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 1 (+.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 (sqrt.f64 (/.f64 1 (+.f64 1 x)))))
(+.f64 (log.f64 (+.f64 x -1)) (log.f64 (/.f64 1 (+.f64 x -1))))
(+.f64 (log.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (log.f64 (/.f64 (+.f64 1 x) (cbrt.f64 (+.f64 1 x)))))
(+.f64 (log.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x)))) (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 (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 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (-.f64 (log1p.f64 x) (log1p.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 (+.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 (log.f64 (*.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) (+.f64 1 x))) (neg.f64 (log1p.f64 x)))
(*.f64 1 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(*.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1)
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (/.f64 1 (fma.f64 (log1p.f64 x) (log.f64 (pow.f64 (+.f64 1 x) 2)) (pow.f64 (log1p.f64 x) 2))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (log.f64 (pow.f64 (+.f64 1 x) 2))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))))
(/.f64 1 (/.f64 (fma.f64 (log1p.f64 x) (log.f64 (pow.f64 (+.f64 1 x) 2)) (pow.f64 (log1p.f64 x) 2)) (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3))))
(/.f64 1 (/.f64 (log.f64 (pow.f64 (+.f64 1 x) 2)) (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (fma.f64 (log1p.f64 x) (log.f64 (pow.f64 (+.f64 1 x) 2)) (pow.f64 (log1p.f64 x) 2)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (log.f64 (pow.f64 (+.f64 1 x) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3))) (neg.f64 (fma.f64 (log1p.f64 x) (log.f64 (pow.f64 (+.f64 1 x) 2)) (pow.f64 (log1p.f64 x) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2))) (neg.f64 (log.f64 (pow.f64 (+.f64 1 x) 2))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (neg.f64 (log1p.f64 x)) 3)) (+.f64 (pow.f64 (log1p.f64 x) 2) (-.f64 (*.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x))) (*.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))) (-.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))))
(pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2)
(neg.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 2))
(log.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))))
(log.f64 (*.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))) (/.f64 (+.f64 1 x) (+.f64 1 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))) (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 1))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(fma.f64 1 (log1p.f64 x) (neg.f64 (log1p.f64 x)))
(fma.f64 1 (log1p.f64 x) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 1 (-.f64 (log1p.f64 x) (log1p.f64 x)) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(fma.f64 1 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(fma.f64 1 (-.f64 (log1p.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 (neg.f64 (log1p.f64 x)) (log1p.f64 x))
(fma.f64 (log1p.f64 x) 1 (neg.f64 (log1p.f64 x)))
(fma.f64 (log1p.f64 x) 1 (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(fma.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1 (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(fma.f64 (-.f64 (log1p.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 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (neg.f64 (log1p.f64 x)))
(fma.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (neg.f64 (cbrt.f64 (log1p.f64 x))) (log1p.f64 x))
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (log1p.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 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2) (cbrt.f64 (-.f64 (log1p.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 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))
(fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 (sqrt.f64 (log1p.f64 x)) (neg.f64 (sqrt.f64 (log1p.f64 x))) (log1p.f64 x))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (-.f64 (log1p.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 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (/.f64 1 (fma.f64 (log1p.f64 x) (log.f64 (pow.f64 (+.f64 1 x) 2)) (pow.f64 (log1p.f64 x) 2))) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (/.f64 1 (fma.f64 (log1p.f64 x) (log.f64 (pow.f64 (+.f64 1 x) 2)) (pow.f64 (log1p.f64 x) 2))) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (/.f64 1 (fma.f64 (log1p.f64 x) (log.f64 (pow.f64 (+.f64 1 x) 2)) (pow.f64 (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 -1 (log1p.f64 x) (log1p.f64 x))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (log.f64 (pow.f64 (+.f64 1 x) 2))) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (log.f64 (pow.f64 (+.f64 1 x) 2))) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (log.f64 (pow.f64 (+.f64 1 x) 2))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.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))) (log1p.f64 x))
(fma.f64 (sqrt.f64 (neg.f64 (log1p.f64 x))) (sqrt.f64 (neg.f64 (log1p.f64 x))) (log1p.f64 x))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) (-.f64 (sqrt.f64 (log1p.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 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (log1p.f64 x)) (log1p.f64 x))
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 (/.f64 2 x) (+.f64 (log.f64 -1) (/.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 (+.f64 (+.f64 (log.f64 -1) (/.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 (/.f64 2 x) (+.f64 (log.f64 -1) (/.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 (+.f64 (+.f64 (log.f64 -1) (/.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 (+.f64 x 1) 1))))
(fma.f64 2 (*.f64 x (fma.f64 x (+.f64 x 1) 1)) 1)
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(+.f64 -1 (neg.f64 (/.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 (+.f64 1 (/.f64 2 x)) (/.f64 2 (pow.f64 x 2))))
(-.f64 -1 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 2))))
(+.f64 (+.f64 -1 (/.f64 -2 x)) (/.f64 -2 (pow.f64 x 2)))
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(-.f64 (*.f64 2 (log1p.f64 x)) (log1p.f64 (pow.f64 x 2)))
(+.f64 (log.f64 (/.f64 (+.f64 1 x) (+.f64 1 (pow.f64 x 3)))) (log1p.f64 (fma.f64 x x x)))
(+.f64 (log.f64 (/.f64 (+.f64 x 1) (+.f64 (pow.f64 x 3) 1))) (log1p.f64 (fma.f64 x x x)))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 (pow.f64 x 3))) (log1p.f64 (fma.f64 x x x)))
(+.f64 (log.f64 (*.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) (+.f64 1 x))) (neg.f64 (log1p.f64 x)))
0
(*.f64 1 (-.f64 (log1p.f64 x) (log1p.f64 x)))
0
(*.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1)
0
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2))
0
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
0
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
0
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (/.f64 1 (fma.f64 (log1p.f64 x) (log.f64 (pow.f64 (+.f64 1 x) 2)) (pow.f64 (log1p.f64 x) 2))))
0
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (log.f64 (pow.f64 (+.f64 1 x) 2))))
0
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))))
0
(/.f64 1 (/.f64 (fma.f64 (log1p.f64 x) (log.f64 (pow.f64 (+.f64 1 x) 2)) (pow.f64 (log1p.f64 x) 2)) (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3))))
0
(/.f64 1 (/.f64 (log.f64 (pow.f64 (+.f64 1 x) 2)) (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2))))
0
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (fma.f64 (log1p.f64 x) (log.f64 (pow.f64 (+.f64 1 x) 2)) (pow.f64 (log1p.f64 x) 2)))
0
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (log.f64 (pow.f64 (+.f64 1 x) 2)))
0
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3))) (neg.f64 (fma.f64 (log1p.f64 x) (log.f64 (pow.f64 (+.f64 1 x) 2)) (pow.f64 (log1p.f64 x) 2))))
0
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2))) (neg.f64 (log.f64 (pow.f64 (+.f64 1 x) 2))))
0
(/.f64 (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (neg.f64 (log1p.f64 x)) 3)) (+.f64 (pow.f64 (log1p.f64 x) 2) (-.f64 (*.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x))) (*.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))))))
0
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))) (-.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))))
0
(pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1)
0
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 3)
0
(pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 3) 1/3)
0
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2)
0
(neg.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))
0
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 2))
(sqrt.f64 0)
(log.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))
0
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))))
0
(log.f64 (*.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))))
0
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))) (/.f64 (+.f64 1 x) (+.f64 1 x))))
0
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))) (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))))
0
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))))
0
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 3))
0
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
0
(exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
0
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 1))
0
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
0
(fma.f64 1 (log1p.f64 x) (neg.f64 (log1p.f64 x)))
0
(fma.f64 1 (log1p.f64 x) (*.f64 (neg.f64 (log1p.f64 x)) 1))
0
(fma.f64 1 (-.f64 (log1p.f64 x) (log1p.f64 x)) (-.f64 (log1p.f64 x) (log1p.f64 x)))
0
(fma.f64 1 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
0
(fma.f64 1 (-.f64 (log1p.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)))
0
(fma.f64 1 (neg.f64 (log1p.f64 x)) (log1p.f64 x))
0
(fma.f64 (log1p.f64 x) 1 (neg.f64 (log1p.f64 x)))
0
(fma.f64 (log1p.f64 x) 1 (*.f64 (neg.f64 (log1p.f64 x)) 1))
0
(fma.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1 (-.f64 (log1p.f64 x) (log1p.f64 x)))
0
(fma.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1 (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
0
(fma.f64 (-.f64 (log1p.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)))
0
(fma.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (neg.f64 (log1p.f64 x)))
0
(fma.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (*.f64 (neg.f64 (log1p.f64 x)) 1))
0
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))
0
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)) (*.f64 (neg.f64 (log1p.f64 x)) 1))
0
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (neg.f64 (cbrt.f64 (log1p.f64 x))) (log1p.f64 x))
0
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2) (-.f64 (log1p.f64 x) (log1p.f64 x)))
0
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
0
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (log1p.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)))
0
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (-.f64 (log1p.f64 x) (log1p.f64 x)))
0
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
0
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2) (cbrt.f64 (-.f64 (log1p.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)))
0
(fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))
0
(fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (*.f64 (neg.f64 (log1p.f64 x)) 1))
0
(fma.f64 (sqrt.f64 (log1p.f64 x)) (neg.f64 (sqrt.f64 (log1p.f64 x))) (log1p.f64 x))
0
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (-.f64 (log1p.f64 x) (log1p.f64 x)))
0
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
0
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (-.f64 (log1p.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)))
0
(fma.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (/.f64 1 (fma.f64 (log1p.f64 x) (log.f64 (pow.f64 (+.f64 1 x) 2)) (pow.f64 (log1p.f64 x) 2))) (-.f64 (log1p.f64 x) (log1p.f64 x)))
0
(fma.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (/.f64 1 (fma.f64 (log1p.f64 x) (log.f64 (pow.f64 (+.f64 1 x) 2)) (pow.f64 (log1p.f64 x) 2))) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
0
(fma.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (/.f64 1 (fma.f64 (log1p.f64 x) (log.f64 (pow.f64 (+.f64 1 x) 2)) (pow.f64 (log1p.f64 x) 2))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
0
(fma.f64 -1 (log1p.f64 x) (log1p.f64 x))
0
(fma.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (log.f64 (pow.f64 (+.f64 1 x) 2))) (-.f64 (log1p.f64 x) (log1p.f64 x)))
0
(fma.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (log.f64 (pow.f64 (+.f64 1 x) 2))) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
0
(fma.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (log.f64 (pow.f64 (+.f64 1 x) 2))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
0
(fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x)) (log1p.f64 x))
0
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (log1p.f64 x))) (cbrt.f64 (neg.f64 (log1p.f64 x)))) (cbrt.f64 (neg.f64 (log1p.f64 x))) (log1p.f64 x))
0
(fma.f64 (sqrt.f64 (neg.f64 (log1p.f64 x))) (sqrt.f64 (neg.f64 (log1p.f64 x))) (log1p.f64 x))
0
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) (-.f64 (log1p.f64 x) (log1p.f64 x)))
0
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
0
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) (-.f64 (sqrt.f64 (log1p.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)))
0
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (log1p.f64 x)) (log1p.f64 x))
0

eval88.0ms (1.1%)

Compiler

Compiled 4414 to 3004 computations (31.9% saved)

prune39.0ms (0.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New2723275
Fresh000
Picked022
Done000
Total2725277
Accuracy
100.0%
Counts
277 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
99.8%
(*.f64 1/2 (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))
99.3%
(*.f64 1/2 (*.f64 2 x))
8.0%
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
5.4%
(*.f64 1/2 0)
Compiler

Compiled 42 to 35 computations (16.7% saved)

localize67.0ms (0.9%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
99.8%
(*.f64 2/3 (pow.f64 x 3))
Compiler

Compiled 54 to 43 computations (20.4% saved)

series2.0ms (0%)

Counts
1 → 0
Calls

3 calls:

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

rewrite59.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1000×associate-*r*
856×associate-*l*
474×unpow-prod-down
306×log-prod
282×cbrt-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0916
17416
273616
Stop Event
node limit
Counts
1 → 25
Calls
Call 1
Inputs
(*.f64 2/3 (pow.f64 x 3))
Outputs
(+.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) -1)
(+.f64 0 (*.f64 2/3 (pow.f64 x 3)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3)))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3)))))
(-.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) 1)
(/.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) 3) 1) (+.f64 (*.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) (+.f64 1 (*.f64 2/3 (pow.f64 x 3)))) (+.f64 1 (*.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) 1))))
(/.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) (+.f64 1 (*.f64 2/3 (pow.f64 x 3)))) 1) (+.f64 (+.f64 1 (*.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)
(pow.f64 (E.f64) (fma.f64 3 (log.f64 x) (log.f64 2/3)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3)) 2))) (cbrt.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3)))) (sqrt.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3))))
(sqrt.f64 (*.f64 (pow.f64 x 6) 4/9))
(fabs.f64 (*.f64 2/3 (pow.f64 x 3)))
(log.f64 (pow.f64 (exp.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 (fma.f64 3 (log.f64 x) (log.f64 2/3)))
(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))))

simplify52.0ms (0.7%)

Algorithm
egg-herbie
Rules
1436×times-frac
800×distribute-lft-out
772×fma-neg
590×distribute-rgt-out
536×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
092839
1224584
2632567
33045567
Stop Event
node limit
Counts
25 → 34
Calls
Call 1
Inputs
(+.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) -1)
(+.f64 0 (*.f64 2/3 (pow.f64 x 3)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3)))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3)))))
(-.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) 1)
(/.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) 3) 1) (+.f64 (*.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) (+.f64 1 (*.f64 2/3 (pow.f64 x 3)))) (+.f64 1 (*.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) 1))))
(/.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) (+.f64 1 (*.f64 2/3 (pow.f64 x 3)))) 1) (+.f64 (+.f64 1 (*.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)
(pow.f64 (E.f64) (fma.f64 3 (log.f64 x) (log.f64 2/3)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3)) 2))) (cbrt.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3)))) (sqrt.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3))))
(sqrt.f64 (*.f64 (pow.f64 x 6) 4/9))
(fabs.f64 (*.f64 2/3 (pow.f64 x 3)))
(log.f64 (pow.f64 (exp.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 (fma.f64 3 (log.f64 x) (log.f64 2/3)))
(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))))
Outputs
(+.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) -1)
(+.f64 1 (+.f64 (*.f64 2/3 (pow.f64 x 3)) -1))
(*.f64 2/3 (pow.f64 x 3))
(+.f64 0 (*.f64 2/3 (pow.f64 x 3)))
(+.f64 1 (+.f64 (*.f64 2/3 (pow.f64 x 3)) -1))
(*.f64 2/3 (pow.f64 x 3))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3))) 2)) (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 (cbrt.f64 (exp.f64 (pow.f64 x 3)))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3)))))
(*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3)))))
(-.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) 1)
(+.f64 1 (+.f64 (*.f64 2/3 (pow.f64 x 3)) -1))
(*.f64 2/3 (pow.f64 x 3))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) 3) 1) (+.f64 (*.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) (+.f64 1 (*.f64 2/3 (pow.f64 x 3)))) (+.f64 1 (*.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) 3) -1) (fma.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) (+.f64 1 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 3)) (fma.f64 (fma.f64 2/3 (pow.f64 x 3) 1) (fma.f64 2/3 (pow.f64 x 3) 1) (+.f64 (*.f64 2/3 (pow.f64 x 3)) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 3)) (+.f64 1 (*.f64 (fma.f64 2/3 (pow.f64 x 3) 1) (fma.f64 2/3 (pow.f64 x 3) 2))))
(/.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) (+.f64 1 (*.f64 2/3 (pow.f64 x 3)))) 1) (+.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) 1))
(+.f64 1 (+.f64 (*.f64 2/3 (pow.f64 x 3)) -1))
(*.f64 2/3 (pow.f64 x 3))
(pow.f64 (*.f64 2/3 (pow.f64 x 3)) 1)
(+.f64 1 (+.f64 (*.f64 2/3 (pow.f64 x 3)) -1))
(*.f64 2/3 (pow.f64 x 3))
(pow.f64 (*.f64 x (cbrt.f64 2/3)) 3)
(+.f64 1 (+.f64 (*.f64 2/3 (pow.f64 x 3)) -1))
(*.f64 2/3 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 x 6) 4/9) 1/2)
(+.f64 1 (+.f64 (*.f64 2/3 (pow.f64 x 3)) -1))
(*.f64 2/3 (pow.f64 x 3))
(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 1 (+.f64 (*.f64 2/3 (pow.f64 x 3)) -1))
(*.f64 2/3 (pow.f64 x 3))
(pow.f64 (E.f64) (fma.f64 3 (log.f64 x) (log.f64 2/3)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3)) 2))) (cbrt.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3)))) (sqrt.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3))))
(+.f64 1 (+.f64 (*.f64 2/3 (pow.f64 x 3)) -1))
(*.f64 2/3 (pow.f64 x 3))
(sqrt.f64 (*.f64 (pow.f64 x 6) 4/9))
(+.f64 1 (+.f64 (*.f64 2/3 (pow.f64 x 3)) -1))
(*.f64 2/3 (pow.f64 x 3))
(fabs.f64 (*.f64 2/3 (pow.f64 x 3)))
(+.f64 1 (+.f64 (*.f64 2/3 (pow.f64 x 3)) -1))
(*.f64 2/3 (pow.f64 x 3))
(log.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))
(+.f64 1 (+.f64 (*.f64 2/3 (pow.f64 x 3)) -1))
(*.f64 2/3 (pow.f64 x 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 1 (+.f64 (*.f64 2/3 (pow.f64 x 3)) -1))
(*.f64 2/3 (pow.f64 x 3))
(exp.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3)))
(+.f64 1 (+.f64 (*.f64 2/3 (pow.f64 x 3)) -1))
(*.f64 2/3 (pow.f64 x 3))
(exp.f64 (*.f64 (log.f64 (*.f64 x (cbrt.f64 2/3))) 3))
(+.f64 1 (+.f64 (*.f64 2/3 (pow.f64 x 3)) -1))
(*.f64 2/3 (pow.f64 x 3))
(exp.f64 (*.f64 (log.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)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3))) 2))
(+.f64 1 (+.f64 (*.f64 2/3 (pow.f64 x 3)) -1))
(*.f64 2/3 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (*.f64 2/3 (pow.f64 x 3))))
(+.f64 1 (+.f64 (*.f64 2/3 (pow.f64 x 3)) -1))
(*.f64 2/3 (pow.f64 x 3))

eval14.0ms (0.2%)

Compiler

Compiled 628 to 537 computations (14.5% saved)

prune6.0ms (0.1%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New33134
Fresh000
Picked033
Done022
Total33639
Accuracy
100.0%
Counts
39 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
99.6%
(*.f64 1/2 (+.f64 (-.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) 1) (*.f64 2 x)))
99.8%
(*.f64 1/2 (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))
99.3%
(*.f64 1/2 (*.f64 2 x))
8.0%
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
5.4%
(*.f64 1/2 0)
Compiler

Compiled 58 to 49 computations (15.5% saved)

localize230.0ms (2.9%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
99.8%
(*.f64 2/3 (pow.f64 x 3))
69.3%
(-.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) 1)
Compiler

Compiled 63 to 53 computations (15.9% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(-.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) 1)
0.0ms
x
@0
(-.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) 1)
0.0ms
x
@-inf
(-.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) 1)

rewrite79.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
912×unpow-prod-down
896×fma-def
868×prod-diff
565×log1p-expm1-u
565×expm1-log1p-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01228
114316
2186416
Stop Event
node limit
Counts
1 → 113
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) 1)
Outputs
(+.f64 1 (fma.f64 2/3 (pow.f64 x 3) -1))
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(+.f64 (fma.f64 2/3 (pow.f64 x 3) 1) -1)
(+.f64 (fma.f64 2/3 (pow.f64 x 3) 1) (log.f64 (exp.f64 -1)))
(+.f64 0 (*.f64 2/3 (pow.f64 x 3)))
(+.f64 -1 (fma.f64 2/3 (pow.f64 x 3) 1))
(+.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 1)
(+.f64 (log.f64 (exp.f64 1)) (fma.f64 2/3 (pow.f64 x 3) -1))
(+.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 1 (*.f64 2/3 (pow.f64 x 3)))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 x (*.f64 (pow.f64 x 2) 2/3))
(*.f64 x (pow.f64 (*.f64 (pow.f64 x 2) 2/3) 1))
(*.f64 (pow.f64 x 3) 2/3)
(*.f64 (pow.f64 x 3) (log.f64 (exp.f64 2/3)))
(*.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 2/3) 3))
(*.f64 (pow.f64 x 3) (pow.f64 8/27 1/3))
(*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2/3) 2))
(*.f64 (*.f64 2/3 (pow.f64 x 3)) 1)
(*.f64 (*.f64 2/3 (pow.f64 x 3)) (log.f64 (exp.f64 1)))
(*.f64 (pow.f64 x 2) (*.f64 x 2/3))
(*.f64 (pow.f64 x 2) (pow.f64 (*.f64 x 2/3) 1))
(*.f64 (*.f64 x (cbrt.f64 2/3)) (pow.f64 (*.f64 x (cbrt.f64 2/3)) 2))
(*.f64 (pow.f64 (*.f64 x (cbrt.f64 2/3)) 2) (*.f64 x (cbrt.f64 2/3)))
(*.f64 (pow.f64 (*.f64 x (cbrt.f64 2/3)) 2) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3))) 2))
(*.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) 2/3))
(*.f64 (pow.f64 x 3/2) (pow.f64 (*.f64 (pow.f64 x 3/2) 2/3) 1))
(*.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3)))
(*.f64 (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 2) (fma.f64 2/3 (pow.f64 x 3) 2))))
(*.f64 (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 3) -1) (pow.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 2) (fma.f64 2/3 (pow.f64 x 3) 2))) 1))
(*.f64 (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 2) -1) (/.f64 1 (fma.f64 2/3 (pow.f64 x 3) 2)))
(*.f64 (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 2) -1) (pow.f64 (/.f64 1 (fma.f64 2/3 (pow.f64 x 3) 2)) 1))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) 1)) 1) (-.f64 (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) 1)) 1))
(*.f64 (*.f64 2/3 x) (pow.f64 x 2))
(*.f64 (*.f64 2/3 (pow.f64 x 2)) x)
(*.f64 (*.f64 2/3 (pow.f64 x 3/2)) (pow.f64 x 3/2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3))) 3) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3))) 3))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x (cbrt.f64 2/3))) 3) (pow.f64 (sqrt.f64 (*.f64 x (cbrt.f64 2/3))) 3))
(*.f64 (pow.f64 1 1/3) (*.f64 2/3 (pow.f64 x 3)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x (cbrt.f64 2/3)) 2)) 3) (pow.f64 (cbrt.f64 (*.f64 x (cbrt.f64 2/3))) 3))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) 1)) 1) 1) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) 1)) 1) 1))
(*.f64 (pow.f64 (*.f64 2/3 x) 1) (pow.f64 x 2))
(*.f64 (pow.f64 (*.f64 2/3 (pow.f64 x 2)) 1) x)
(*.f64 (pow.f64 (*.f64 2/3 (pow.f64 x 3/2)) 1) (pow.f64 x 3/2))
(*.f64 (pow.f64 (cbrt.f64 2/3) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (*.f64 x (cbrt.f64 2/3))) (cbrt.f64 (*.f64 x (cbrt.f64 2/3)))) 3) (pow.f64 (cbrt.f64 (*.f64 x (cbrt.f64 2/3))) 3))
(*.f64 (pow.f64 8/27 1/3) (pow.f64 x 3))
(*.f64 (pow.f64 (pow.f64 (*.f64 x (cbrt.f64 2/3)) 9/2) 1/3) (pow.f64 (pow.f64 (*.f64 x (cbrt.f64 2/3)) 9/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (pow.f64 x 9) 8/27)) 1/3) (pow.f64 (sqrt.f64 (*.f64 (pow.f64 x 9) 8/27)) 1/3))
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 x 6) 4/9) 2/3) 1/3) x)
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 x 6) 4/9) (pow.f64 x 3)) 1/3) (pow.f64 2/3 1/3))
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 x 6) 4/9) (pow.f64 (*.f64 x (cbrt.f64 2/3)) 2)) 1/3) (pow.f64 (*.f64 x (cbrt.f64 2/3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 2/3 (pow.f64 x 3)) 5/2) 1/3) (pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3)) 1/3))
(*.f64 (pow.f64 (sqrt.f64 2/3) 2) (pow.f64 x 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (*.f64 x (cbrt.f64 2/3)) 2)) 2) (pow.f64 (sqrt.f64 (*.f64 x (cbrt.f64 2/3))) 2))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3))) 2) (pow.f64 (sqrt.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3))) 2))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 2) (fma.f64 2/3 (pow.f64 x 3) 2)) (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 3) -1)))
(/.f64 1 (/.f64 (fma.f64 2/3 (pow.f64 x 3) 2) (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 2) -1)))
(/.f64 (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 2) (fma.f64 2/3 (pow.f64 x 3) 2)))
(/.f64 (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 2) (-.f64 1 (*.f64 (fma.f64 2/3 (pow.f64 x 3) 1) -1))))
(/.f64 (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 2) -1) (fma.f64 2/3 (pow.f64 x 3) 2))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 2) (fma.f64 2/3 (pow.f64 x 3) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 2) -1)) (neg.f64 (fma.f64 2/3 (pow.f64 x 3) 2)))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 3)) (+.f64 1 (-.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 2) (fma.f64 2/3 (pow.f64 x 3) -1))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 2)) (-.f64 1 (fma.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)
(pow.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 2) (fma.f64 2/3 (pow.f64 x 3) 2)) (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 3) -1)) -1)
(pow.f64 (/.f64 (fma.f64 2/3 (pow.f64 x 3) 2) (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 2) -1)) -1)
(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))))
(hypot.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3)) (sqrt.f64 (fma.f64 (pow.f64 x 6) 4/9 (*.f64 -2/3 (pow.f64 x 3)))))
(exp.f64 (log.f64 (*.f64 2/3 (pow.f64 x 3))))
(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))))
(fma.f64 1 (*.f64 2/3 (pow.f64 x 3)) 0)
(fma.f64 1 (fma.f64 2/3 (pow.f64 x 3) 1) -1)
(fma.f64 1 (fma.f64 2/3 (pow.f64 x 3) -1) 1)
(fma.f64 2/3 (pow.f64 x 3) 0)
(fma.f64 x (*.f64 (pow.f64 x 2) 2/3) 0)
(fma.f64 (pow.f64 x 3) 2/3 0)
(fma.f64 (*.f64 2/3 (pow.f64 x 3)) 1 0)
(fma.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 1 -1)
(fma.f64 (pow.f64 x 2) (*.f64 x 2/3) 0)
(fma.f64 (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) 1)) (pow.f64 (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) 1)) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) 1)) 2) (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) 1)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) 1)) 2) (*.f64 (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) 1)) 1) -1)
(fma.f64 (*.f64 x (cbrt.f64 2/3)) (pow.f64 (*.f64 x (cbrt.f64 2/3)) 2) 0)
(fma.f64 (pow.f64 (*.f64 x (cbrt.f64 2/3)) 2) (*.f64 x (cbrt.f64 2/3)) 0)
(fma.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) 2/3) 0)
(fma.f64 (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) 1)) (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) 1)) -1)
(fma.f64 (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) 1)) (*.f64 (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) 1)) 1) -1)
(fma.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3)) 0)
(fma.f64 (fma.f64 (pow.f64 x 9) 8/27 1) (/.f64 1 (+.f64 1 (fma.f64 (pow.f64 x 6) 4/9 (*.f64 -2/3 (pow.f64 x 3))))) -1)
(fma.f64 (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 2) (fma.f64 2/3 (pow.f64 x 3) 2))) 0)
(fma.f64 (-.f64 1 (*.f64 (pow.f64 x 6) 4/9)) (/.f64 1 (+.f64 1 (*.f64 -2/3 (pow.f64 x 3)))) -1)
(fma.f64 (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 2) -1) (/.f64 1 (fma.f64 2/3 (pow.f64 x 3) 2)) 0)
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) -1)) (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) -1))) (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) -1)) 1)
(fma.f64 (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) -1)) (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) -1)) 1)
(fma.f64 (fma.f64 (pow.f64 x 3/2) (sqrt.f64 2/3) 1) (fma.f64 (pow.f64 x 3/2) (sqrt.f64 2/3) -1) 1)
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) 1)) 1) (-.f64 (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) 1)) 1) 0)
(fma.f64 (*.f64 2/3 x) (pow.f64 x 2) 0)
(fma.f64 (*.f64 2/3 (pow.f64 x 2)) x 0)
(fma.f64 (*.f64 2/3 (pow.f64 x 3/2)) (pow.f64 x 3/2) 0)

simplify104.0ms (1.3%)

Algorithm
egg-herbie
Rules
1458×fma-def
1224×log-prod
822×unswap-sqr
718×cancel-sign-sub-inv
622×*-commutative
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02693516
16253399
218083341
371833299
Stop Event
node limit
Counts
125 → 145
Calls
Call 1
Inputs
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(+.f64 1 (fma.f64 2/3 (pow.f64 x 3) -1))
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(+.f64 (fma.f64 2/3 (pow.f64 x 3) 1) -1)
(+.f64 (fma.f64 2/3 (pow.f64 x 3) 1) (log.f64 (exp.f64 -1)))
(+.f64 0 (*.f64 2/3 (pow.f64 x 3)))
(+.f64 -1 (fma.f64 2/3 (pow.f64 x 3) 1))
(+.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 1)
(+.f64 (log.f64 (exp.f64 1)) (fma.f64 2/3 (pow.f64 x 3) -1))
(+.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 1 (*.f64 2/3 (pow.f64 x 3)))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 x (*.f64 (pow.f64 x 2) 2/3))
(*.f64 x (pow.f64 (*.f64 (pow.f64 x 2) 2/3) 1))
(*.f64 (pow.f64 x 3) 2/3)
(*.f64 (pow.f64 x 3) (log.f64 (exp.f64 2/3)))
(*.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 2/3) 3))
(*.f64 (pow.f64 x 3) (pow.f64 8/27 1/3))
(*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2/3) 2))
(*.f64 (*.f64 2/3 (pow.f64 x 3)) 1)
(*.f64 (*.f64 2/3 (pow.f64 x 3)) (log.f64 (exp.f64 1)))
(*.f64 (pow.f64 x 2) (*.f64 x 2/3))
(*.f64 (pow.f64 x 2) (pow.f64 (*.f64 x 2/3) 1))
(*.f64 (*.f64 x (cbrt.f64 2/3)) (pow.f64 (*.f64 x (cbrt.f64 2/3)) 2))
(*.f64 (pow.f64 (*.f64 x (cbrt.f64 2/3)) 2) (*.f64 x (cbrt.f64 2/3)))
(*.f64 (pow.f64 (*.f64 x (cbrt.f64 2/3)) 2) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3))) 2))
(*.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) 2/3))
(*.f64 (pow.f64 x 3/2) (pow.f64 (*.f64 (pow.f64 x 3/2) 2/3) 1))
(*.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3)))
(*.f64 (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 2) (fma.f64 2/3 (pow.f64 x 3) 2))))
(*.f64 (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 3) -1) (pow.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 2) (fma.f64 2/3 (pow.f64 x 3) 2))) 1))
(*.f64 (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 2) -1) (/.f64 1 (fma.f64 2/3 (pow.f64 x 3) 2)))
(*.f64 (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 2) -1) (pow.f64 (/.f64 1 (fma.f64 2/3 (pow.f64 x 3) 2)) 1))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) 1)) 1) (-.f64 (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) 1)) 1))
(*.f64 (*.f64 2/3 x) (pow.f64 x 2))
(*.f64 (*.f64 2/3 (pow.f64 x 2)) x)
(*.f64 (*.f64 2/3 (pow.f64 x 3/2)) (pow.f64 x 3/2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3))) 3) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3))) 3))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x (cbrt.f64 2/3))) 3) (pow.f64 (sqrt.f64 (*.f64 x (cbrt.f64 2/3))) 3))
(*.f64 (pow.f64 1 1/3) (*.f64 2/3 (pow.f64 x 3)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x (cbrt.f64 2/3)) 2)) 3) (pow.f64 (cbrt.f64 (*.f64 x (cbrt.f64 2/3))) 3))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) 1)) 1) 1) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) 1)) 1) 1))
(*.f64 (pow.f64 (*.f64 2/3 x) 1) (pow.f64 x 2))
(*.f64 (pow.f64 (*.f64 2/3 (pow.f64 x 2)) 1) x)
(*.f64 (pow.f64 (*.f64 2/3 (pow.f64 x 3/2)) 1) (pow.f64 x 3/2))
(*.f64 (pow.f64 (cbrt.f64 2/3) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (*.f64 x (cbrt.f64 2/3))) (cbrt.f64 (*.f64 x (cbrt.f64 2/3)))) 3) (pow.f64 (cbrt.f64 (*.f64 x (cbrt.f64 2/3))) 3))
(*.f64 (pow.f64 8/27 1/3) (pow.f64 x 3))
(*.f64 (pow.f64 (pow.f64 (*.f64 x (cbrt.f64 2/3)) 9/2) 1/3) (pow.f64 (pow.f64 (*.f64 x (cbrt.f64 2/3)) 9/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (pow.f64 x 9) 8/27)) 1/3) (pow.f64 (sqrt.f64 (*.f64 (pow.f64 x 9) 8/27)) 1/3))
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 x 6) 4/9) 2/3) 1/3) x)
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 x 6) 4/9) (pow.f64 x 3)) 1/3) (pow.f64 2/3 1/3))
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 x 6) 4/9) (pow.f64 (*.f64 x (cbrt.f64 2/3)) 2)) 1/3) (pow.f64 (*.f64 x (cbrt.f64 2/3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 2/3 (pow.f64 x 3)) 5/2) 1/3) (pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3)) 1/3))
(*.f64 (pow.f64 (sqrt.f64 2/3) 2) (pow.f64 x 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (*.f64 x (cbrt.f64 2/3)) 2)) 2) (pow.f64 (sqrt.f64 (*.f64 x (cbrt.f64 2/3))) 2))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3))) 2) (pow.f64 (sqrt.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3))) 2))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 2) (fma.f64 2/3 (pow.f64 x 3) 2)) (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 3) -1)))
(/.f64 1 (/.f64 (fma.f64 2/3 (pow.f64 x 3) 2) (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 2) -1)))
(/.f64 (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 2) (fma.f64 2/3 (pow.f64 x 3) 2)))
(/.f64 (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 2) (-.f64 1 (*.f64 (fma.f64 2/3 (pow.f64 x 3) 1) -1))))
(/.f64 (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 2) -1) (fma.f64 2/3 (pow.f64 x 3) 2))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 2) (fma.f64 2/3 (pow.f64 x 3) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 2) -1)) (neg.f64 (fma.f64 2/3 (pow.f64 x 3) 2)))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 3)) (+.f64 1 (-.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 2) (fma.f64 2/3 (pow.f64 x 3) -1))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 2)) (-.f64 1 (fma.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)
(pow.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 2) (fma.f64 2/3 (pow.f64 x 3) 2)) (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 3) -1)) -1)
(pow.f64 (/.f64 (fma.f64 2/3 (pow.f64 x 3) 2) (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 2) -1)) -1)
(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))))
(hypot.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3)) (sqrt.f64 (fma.f64 (pow.f64 x 6) 4/9 (*.f64 -2/3 (pow.f64 x 3)))))
(exp.f64 (log.f64 (*.f64 2/3 (pow.f64 x 3))))
(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))))
(fma.f64 1 (*.f64 2/3 (pow.f64 x 3)) 0)
(fma.f64 1 (fma.f64 2/3 (pow.f64 x 3) 1) -1)
(fma.f64 1 (fma.f64 2/3 (pow.f64 x 3) -1) 1)
(fma.f64 2/3 (pow.f64 x 3) 0)
(fma.f64 x (*.f64 (pow.f64 x 2) 2/3) 0)
(fma.f64 (pow.f64 x 3) 2/3 0)
(fma.f64 (*.f64 2/3 (pow.f64 x 3)) 1 0)
(fma.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 1 -1)
(fma.f64 (pow.f64 x 2) (*.f64 x 2/3) 0)
(fma.f64 (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) 1)) (pow.f64 (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) 1)) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) 1)) 2) (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) 1)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) 1)) 2) (*.f64 (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) 1)) 1) -1)
(fma.f64 (*.f64 x (cbrt.f64 2/3)) (pow.f64 (*.f64 x (cbrt.f64 2/3)) 2) 0)
(fma.f64 (pow.f64 (*.f64 x (cbrt.f64 2/3)) 2) (*.f64 x (cbrt.f64 2/3)) 0)
(fma.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) 2/3) 0)
(fma.f64 (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) 1)) (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) 1)) -1)
(fma.f64 (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) 1)) (*.f64 (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) 1)) 1) -1)
(fma.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3)) 0)
(fma.f64 (fma.f64 (pow.f64 x 9) 8/27 1) (/.f64 1 (+.f64 1 (fma.f64 (pow.f64 x 6) 4/9 (*.f64 -2/3 (pow.f64 x 3))))) -1)
(fma.f64 (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 2) (fma.f64 2/3 (pow.f64 x 3) 2))) 0)
(fma.f64 (-.f64 1 (*.f64 (pow.f64 x 6) 4/9)) (/.f64 1 (+.f64 1 (*.f64 -2/3 (pow.f64 x 3)))) -1)
(fma.f64 (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 2) -1) (/.f64 1 (fma.f64 2/3 (pow.f64 x 3) 2)) 0)
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) -1)) (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) -1))) (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) -1)) 1)
(fma.f64 (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) -1)) (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) -1)) 1)
(fma.f64 (fma.f64 (pow.f64 x 3/2) (sqrt.f64 2/3) 1) (fma.f64 (pow.f64 x 3/2) (sqrt.f64 2/3) -1) 1)
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) 1)) 1) (-.f64 (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) 1)) 1) 0)
(fma.f64 (*.f64 2/3 x) (pow.f64 x 2) 0)
(fma.f64 (*.f64 2/3 (pow.f64 x 2)) x 0)
(fma.f64 (*.f64 2/3 (pow.f64 x 3/2)) (pow.f64 x 3/2) 0)
Outputs
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(+.f64 1 (fma.f64 2/3 (pow.f64 x 3) -1))
(*.f64 2/3 (pow.f64 x 3))
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))
(+.f64 (fma.f64 2/3 (pow.f64 x 3) 1) -1)
(*.f64 2/3 (pow.f64 x 3))
(+.f64 (fma.f64 2/3 (pow.f64 x 3) 1) (log.f64 (exp.f64 -1)))
(*.f64 2/3 (pow.f64 x 3))
(+.f64 0 (*.f64 2/3 (pow.f64 x 3)))
(*.f64 2/3 (pow.f64 x 3))
(+.f64 -1 (fma.f64 2/3 (pow.f64 x 3) 1))
(*.f64 2/3 (pow.f64 x 3))
(+.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 1)
(*.f64 2/3 (pow.f64 x 3))
(+.f64 (log.f64 (exp.f64 1)) (fma.f64 2/3 (pow.f64 x 3) -1))
(*.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 (*.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 2/3 (pow.f64 x 3))
(*.f64 1 (*.f64 2/3 (pow.f64 x 3)))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 x (*.f64 (pow.f64 x 2) 2/3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 x (pow.f64 (*.f64 (pow.f64 x 2) 2/3) 1))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 2/3)
(*.f64 2/3 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) (log.f64 (exp.f64 2/3)))
(*.f64 2/3 (pow.f64 x 3))
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(fma.f64 (*.f64 2/3 (pow.f64 x 3)) 1 0)
(*.f64 2/3 (pow.f64 x 3))
(fma.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 1 -1)
(*.f64 2/3 (pow.f64 x 3))
(fma.f64 (pow.f64 x 2) (*.f64 x 2/3) 0)
(*.f64 2/3 (pow.f64 x 3))
(fma.f64 (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) 1)) (pow.f64 (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) 1)) 2) -1)
(*.f64 2/3 (pow.f64 x 3))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) 1)) 2) (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) 1)) -1)
(*.f64 2/3 (pow.f64 x 3))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) 1)) 2) (*.f64 (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) 1)) 1) -1)
(*.f64 2/3 (pow.f64 x 3))
(fma.f64 (*.f64 x (cbrt.f64 2/3)) (pow.f64 (*.f64 x (cbrt.f64 2/3)) 2) 0)
(*.f64 2/3 (pow.f64 x 3))
(fma.f64 (pow.f64 (*.f64 x (cbrt.f64 2/3)) 2) (*.f64 x (cbrt.f64 2/3)) 0)
(*.f64 2/3 (pow.f64 x 3))
(fma.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) 2/3) 0)
(*.f64 2/3 (pow.f64 x 3))
(fma.f64 (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) 1)) (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) 1)) -1)
(*.f64 2/3 (pow.f64 x 3))
(fma.f64 (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) 1)) (*.f64 (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) 1)) 1) -1)
(*.f64 2/3 (pow.f64 x 3))
(fma.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3)) 0)
(*.f64 2/3 (pow.f64 x 3))
(fma.f64 (fma.f64 (pow.f64 x 9) 8/27 1) (/.f64 1 (+.f64 1 (fma.f64 (pow.f64 x 6) 4/9 (*.f64 -2/3 (pow.f64 x 3))))) -1)
(fma.f64 (fma.f64 (pow.f64 x 9) 8/27 1) (/.f64 1 (+.f64 1 (fma.f64 (pow.f64 x 6) 4/9 (*.f64 (pow.f64 x 3) -2/3)))) -1)
(fma.f64 (fma.f64 8/27 (pow.f64 x 9) 1) (/.f64 1 (+.f64 1 (fma.f64 (pow.f64 x 6) 4/9 (*.f64 (pow.f64 x 3) -2/3)))) -1)
(+.f64 -1 (/.f64 (fma.f64 8/27 (pow.f64 x 9) 1) (fma.f64 (pow.f64 x 6) 4/9 (fma.f64 (pow.f64 x 3) -2/3 1))))
(fma.f64 (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 2) (fma.f64 2/3 (pow.f64 x 3) 2))) 0)
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 2) (fma.f64 2/3 (pow.f64 x 3) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 3)) (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 2) (fma.f64 2/3 (pow.f64 x 3) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 3)) (+.f64 1 (*.f64 (fma.f64 2/3 (pow.f64 x 3) 1) (fma.f64 2/3 (pow.f64 x 3) 2))))
(fma.f64 (-.f64 1 (*.f64 (pow.f64 x 6) 4/9)) (/.f64 1 (+.f64 1 (*.f64 -2/3 (pow.f64 x 3)))) -1)
(fma.f64 (-.f64 1 (*.f64 (pow.f64 x 6) 4/9)) (/.f64 1 (+.f64 1 (*.f64 (pow.f64 x 3) -2/3))) -1)
(fma.f64 (-.f64 1 (*.f64 (pow.f64 x 6) 4/9)) (/.f64 1 (fma.f64 (pow.f64 x 3) -2/3 1)) -1)
(+.f64 -1 (/.f64 (fma.f64 (pow.f64 x 6) -4/9 1) (fma.f64 (pow.f64 x 3) -2/3 1)))
(fma.f64 (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 2) -1) (/.f64 1 (fma.f64 2/3 (pow.f64 x 3) 2)) 0)
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 2)) (/.f64 1 (fma.f64 2/3 (pow.f64 x 3) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 2)) (fma.f64 2/3 (pow.f64 x 3) 2))
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) -1)) (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) -1))) (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) -1)) 1)
(*.f64 2/3 (pow.f64 x 3))
(fma.f64 (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) -1)) (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) -1)) 1)
(*.f64 2/3 (pow.f64 x 3))
(fma.f64 (fma.f64 (pow.f64 x 3/2) (sqrt.f64 2/3) 1) (fma.f64 (pow.f64 x 3/2) (sqrt.f64 2/3) -1) 1)
(fma.f64 (fma.f64 (sqrt.f64 2/3) (pow.f64 x 3/2) 1) (fma.f64 (sqrt.f64 2/3) (pow.f64 x 3/2) -1) 1)
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) 1)) 1) (-.f64 (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) 1)) 1) 0)
(*.f64 2/3 (pow.f64 x 3))
(fma.f64 (*.f64 2/3 x) (pow.f64 x 2) 0)
(*.f64 2/3 (pow.f64 x 3))
(fma.f64 (*.f64 2/3 (pow.f64 x 2)) x 0)
(*.f64 2/3 (pow.f64 x 3))
(fma.f64 (*.f64 2/3 (pow.f64 x 3/2)) (pow.f64 x 3/2) 0)
(*.f64 2/3 (pow.f64 x 3))

eval86.0ms (1.1%)

Compiler

Compiled 3666 to 3163 computations (13.7% saved)

prune30.0ms (0.4%)

Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New1790179
Fresh000
Picked011
Done055
Total1796185
Accuracy
100.0%
Counts
185 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
99.6%
(*.f64 1/2 (+.f64 (-.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) 1) (*.f64 2 x)))
99.8%
(*.f64 1/2 (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))
99.3%
(*.f64 1/2 (*.f64 2 x))
8.0%
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
5.4%
(*.f64 1/2 0)
Compiler

Compiled 123 to 103 computations (16.3% saved)

regimes10.0ms (0.1%)

Counts
7 → 1
Calls
Call 1
Inputs
(*.f64 1/2 0)
(*.f64 1/2 (*.f64 2 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 (-.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) 1) (*.f64 2 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 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
2.0ms
(/.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)

regimes10.0ms (0.1%)

Counts
6 → 1
Calls
Call 1
Inputs
(*.f64 1/2 0)
(*.f64 1/2 (*.f64 2 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 (-.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) 1) (*.f64 2 x)))
Outputs
(*.f64 1/2 (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))
Calls

4 calls:

4.0ms
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
99.8%1x
99.8%1(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
99.8%1(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
99.8%1(/.f64 (+.f64 1 x) (-.f64 1 x))
Compiler

Compiled 32 to 25 computations (21.9% saved)

regimes8.0ms (0.1%)

Counts
3 → 1
Calls
Call 1
Inputs
(*.f64 1/2 0)
(*.f64 1/2 (*.f64 2 x))
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
Outputs
(*.f64 1/2 (*.f64 2 x))
Calls

3 calls:

3.0ms
x
2.0ms
(/.f64 (+.f64 1 x) (-.f64 1 x))
2.0ms
(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
Results
AccuracySegmentsBranch
99.3%1x
99.3%1(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
99.3%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 0)
Outputs
(*.f64 1/2 0)
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
5.4%1x
Compiler

Compiled 2 to 1 computations (50% saved)

simplify4.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02385
13485
23985
34285
44385
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 0)
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 0)
0
Compiler

Compiled 29 to 24 computations (17.2% saved)

soundness1.4s (18.5%)

Rules
1946×fma-def
1946×fma-def
1588×fma-def
1578×times-frac
1402×fma-neg
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
01575
121867
2293367
04332644
111432515
223202438
Stop Event
node limit
node limit
node limit
node limit
Compiler

Compiled 296 to 206 computations (30.4% saved)

end0.0ms (0%)

preprocess45.0ms (0.6%)

Remove

(negabs x)

Compiler

Compiled 168 to 134 computations (20.2% saved)

Profiling

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