bug333 (missed optimization)

Time bar (total: 6.8s)

analyze0.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%50%50%0%0%0%0
100%50%0%50%0%0%0%1
Compiler

Compiled 17 to 13 computations (23.5% saved)

sample2.5s (37.4%)

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

preprocess505.0ms (7.5%)

Algorithm
egg-herbie
Rules
124×fma-neg
102×fma-define
50×sub-neg
32×neg-mul-1
30×cancel-sign-sub-inv
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2530-0-(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
00-0-(sqrt.f64 (+.f64 1 x))
00-0-x
00-0-(+.f64 1 x)
00-0-(sqrt.f64 (-.f64 1 x))
00-0-(-.f64 1 x)
00-0-1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019136
139132
271132
3131132
4212132
5309132
6362132
7394132
8396132
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(-.f64 (sqrt.f64 (+.f64 1 (neg.f64 x))) (sqrt.f64 (-.f64 1 (neg.f64 x))))
(neg.f64 (-.f64 (sqrt.f64 (+.f64 1 (neg.f64 x))) (sqrt.f64 (-.f64 1 (neg.f64 x)))))
Outputs
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(-.f64 (sqrt.f64 (+.f64 1 (neg.f64 x))) (sqrt.f64 (-.f64 1 (neg.f64 x))))
(-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 (neg.f64 x))))
(-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))
(neg.f64 (-.f64 (sqrt.f64 (+.f64 1 (neg.f64 x))) (sqrt.f64 (-.f64 1 (neg.f64 x)))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
Symmetry

(negabs x)

Compiler

Compiled 64 to 48 computations (25% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
9.2%
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
Compiler

Compiled 10 to 8 computations (20% saved)

localize95.0ms (1.4%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
100.0%
(sqrt.f64 (+.f64 1 x))
100.0%
(sqrt.f64 (-.f64 1 x))
9.2%
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
Compiler

Compiled 27 to 20 computations (25.9% saved)

series8.0ms (0.1%)

Counts
3 → 20
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
2.0ms
x
@-inf
(sqrt.f64 (-.f64 1 x))
1.0ms
x
@0
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
1.0ms
x
@0
(sqrt.f64 (+.f64 1 x))
1.0ms
x
@0
(sqrt.f64 (-.f64 1 x))

rewrite260.0ms (3.8%)

Algorithm
batch-egg-rewrite
Rules
1382×unpow-prod-down
956×fma-define
790×log1p-expm1-u
790×expm1-log1p-u
672×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01261
115861
2216061
Stop Event
node limit
Counts
3 → 232
Calls
Call 1
Inputs
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(sqrt.f64 (-.f64 1 x))
(sqrt.f64 (+.f64 1 x))
Outputs
(+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))))
(+.f64 0 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 1 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))))
(*.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 1)
(*.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2))
(*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 2))
(*.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (/.f64 1 (+.f64 (+.f64 1 x) (fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)) (-.f64 1 x)))))
(*.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (pow.f64 (/.f64 1 (+.f64 (+.f64 1 x) (fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)) (-.f64 1 x)))) 1))
(*.f64 (+.f64 x x) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (+.f64 x x) (pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 1))
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (-.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)))
(*.f64 (pow.f64 1 1/3) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) 1) (pow.f64 (-.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) 1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) (cbrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 3))
(*.f64 (pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 2) 1/3) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 1/3) (pow.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 2) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2)) 1/3) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 2) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 1/3) (pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 2))
(/.f64 1 (/.f64 (+.f64 (+.f64 1 x) (fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)) (-.f64 1 x))) (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2))))
(/.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 x x)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (+.f64 (+.f64 1 x) (fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)) (-.f64 1 x))))
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (neg.f64 (+.f64 (+.f64 1 x) (fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)) (-.f64 1 x)))))
(/.f64 (neg.f64 (+.f64 x x)) (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (*.f64 -1 (pow.f64 (-.f64 1 x) 3/2))) (+.f64 (+.f64 1 x) (-.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (neg.f64 (sqrt.f64 (-.f64 1 x)))) (*.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x)))))))
(/.f64 (-.f64 (+.f64 1 x) (*.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (neg.f64 (sqrt.f64 (-.f64 1 x))))) (-.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x)))))
(pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2)
(pow.f64 (/.f64 (+.f64 (+.f64 1 x) (fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)) (-.f64 1 x))) (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2))) -1)
(pow.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 x x)) -1)
(sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 2))
(log.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))
(log.f64 (*.f64 (exp.f64 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (exp.f64 (sqrt.f64 (-.f64 1 x))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 (exp.f64 (sqrt.f64 (-.f64 1 x))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 x)))) (exp.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (sqrt.f64 (-.f64 1 x)))) (exp.f64 (sqrt.f64 (+.f64 1 x)))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (sqrt.f64 (-.f64 1 x)))) (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 x))))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (sqrt.f64 (-.f64 1 x)))) (exp.f64 (sqrt.f64 (+.f64 1 x)))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (sqrt.f64 (-.f64 1 x)))) (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 x))))))
(log.f64 (/.f64 (exp.f64 (sqrt.f64 (+.f64 1 x))) (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 x))))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 x)))) (exp.f64 (sqrt.f64 (-.f64 1 x)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 x)))) (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 2))
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) (*.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1))
(fma.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))))
(fma.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(fma.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))))
(fma.f64 1 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (sqrt.f64 (+.f64 1 x)) 1 (neg.f64 (sqrt.f64 (-.f64 1 x))))
(fma.f64 (sqrt.f64 (+.f64 1 x)) 1 (*.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1))
(fma.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 1 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))))
(fma.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 1 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(fma.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 1 (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 (+.f64 1 x)) (*.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1))
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(*.f64 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) 3/2) 1/3) (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) 3/2) 1/3))
(*.f64 (pow.f64 (*.f64 (+.f64 1 x) (cbrt.f64 (+.f64 1 x))) 1/3) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) 1/3))
(*.f64 (pow.f64 (*.f64 (+.f64 1 x) (pow.f64 (+.f64 1 x) 1/4)) 1/3) (pow.f64 (pow.f64 (+.f64 1 x) 1/4) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 x) 1/4)) 2) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 x) 1/4)) 2))
(/.f64 (hypot.f64 1 (pow.f64 x 3/2)) (sqrt.f64 (fma.f64 x (-.f64 x 1) 1)))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (sqrt.f64 (-.f64 1 x)))
(pow.f64 (+.f64 1 x) 1/2)
(pow.f64 (sqrt.f64 (+.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) 3)
(pow.f64 (pow.f64 (+.f64 1 x) 3/2) 1/3)
(pow.f64 (pow.f64 (+.f64 1 x) 1/4) 2)
(fabs.f64 (sqrt.f64 (+.f64 1 x)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 x)))))
(cbrt.f64 (pow.f64 (+.f64 1 x) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))))
(hypot.f64 1 (sqrt.f64 x))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 x))))
(exp.f64 (*.f64 1/2 (log1p.f64 x)))
(exp.f64 (*.f64 (log1p.f64 x) 1/2))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 1))
(exp.f64 (*.f64 (*.f64 1/3 (*.f64 1/2 (log1p.f64 x))) 3))
(exp.f64 (*.f64 (*.f64 3/2 (log1p.f64 x)) 1/3))
(exp.f64 (*.f64 (*.f64 1/4 (log1p.f64 x)) 2))

simplify320.0ms (4.7%)

Algorithm
egg-herbie
Rules
1062×times-frac
778×exp-prod
768×associate-*r*
736×associate-*l*
554×fabs-mul
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
057910592
114129937
248989613
Stop Event
node limit
Counts
252 → 348
Calls
Call 1
Inputs
x
(+.f64 x (*.f64 1/8 (pow.f64 x 3)))
(+.f64 x (+.f64 (*.f64 7/128 (pow.f64 x 5)) (*.f64 1/8 (pow.f64 x 3))))
(+.f64 x (+.f64 (*.f64 33/1024 (pow.f64 x 7)) (+.f64 (*.f64 7/128 (pow.f64 x 5)) (*.f64 1/8 (pow.f64 x 3)))))
0
0
0
0
0
0
0
0
1
(+.f64 1 (*.f64 -1/2 x))
(+.f64 1 (+.f64 (*.f64 -1/2 x) (*.f64 -1/8 (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 -1/16 (pow.f64 x 3)))))
1
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))))
(+.f64 0 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 1 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))))
(*.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 1)
(*.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2))
(*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 2))
(*.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (/.f64 1 (+.f64 (+.f64 1 x) (fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)) (-.f64 1 x)))))
(*.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (pow.f64 (/.f64 1 (+.f64 (+.f64 1 x) (fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)) (-.f64 1 x)))) 1))
(*.f64 (+.f64 x x) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (+.f64 x x) (pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 1))
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (-.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)))
(*.f64 (pow.f64 1 1/3) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) 1) (pow.f64 (-.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) 1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) (cbrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 3))
(*.f64 (pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 2) 1/3) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 1/3) (pow.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 2) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2)) 1/3) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 2) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 1/3) (pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 2))
(/.f64 1 (/.f64 (+.f64 (+.f64 1 x) (fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)) (-.f64 1 x))) (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2))))
(/.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 x x)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (+.f64 (+.f64 1 x) (fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)) (-.f64 1 x))))
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (neg.f64 (+.f64 (+.f64 1 x) (fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)) (-.f64 1 x)))))
(/.f64 (neg.f64 (+.f64 x x)) (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (*.f64 -1 (pow.f64 (-.f64 1 x) 3/2))) (+.f64 (+.f64 1 x) (-.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (neg.f64 (sqrt.f64 (-.f64 1 x)))) (*.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x)))))))
(/.f64 (-.f64 (+.f64 1 x) (*.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (neg.f64 (sqrt.f64 (-.f64 1 x))))) (-.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x)))))
(pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2)
(pow.f64 (/.f64 (+.f64 (+.f64 1 x) (fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)) (-.f64 1 x))) (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2))) -1)
(pow.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 x x)) -1)
(sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 2))
(log.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))
(log.f64 (*.f64 (exp.f64 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (exp.f64 (sqrt.f64 (-.f64 1 x))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 (exp.f64 (sqrt.f64 (-.f64 1 x))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 x)))) (exp.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (sqrt.f64 (-.f64 1 x)))) (exp.f64 (sqrt.f64 (+.f64 1 x)))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (sqrt.f64 (-.f64 1 x)))) (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 x))))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (sqrt.f64 (-.f64 1 x)))) (exp.f64 (sqrt.f64 (+.f64 1 x)))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (sqrt.f64 (-.f64 1 x)))) (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 x))))))
(log.f64 (/.f64 (exp.f64 (sqrt.f64 (+.f64 1 x))) (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 x))))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 x)))) (exp.f64 (sqrt.f64 (-.f64 1 x)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 x)))) (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 2))
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) (*.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1))
(fma.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))))
(fma.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(fma.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))))
(fma.f64 1 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (sqrt.f64 (+.f64 1 x)) 1 (neg.f64 (sqrt.f64 (-.f64 1 x))))
(fma.f64 (sqrt.f64 (+.f64 1 x)) 1 (*.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1))
(fma.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 1 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))))
(fma.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 1 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(fma.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 1 (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 (+.f64 1 x)) (*.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1))
(fma.f64 (cbrt.f64 (-.f64 1 x)) (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (*.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1))
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) (*.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1))
(fma.f64 (pow.f64 (-.f64 1 x) 1/4) (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))))
(fma.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(fma.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))))
(fma.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (/.f64 1 (+.f64 (+.f64 1 x) (fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)) (-.f64 1 x)))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))))
(fma.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (/.f64 1 (+.f64 (+.f64 1 x) (fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)) (-.f64 1 x)))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(fma.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (/.f64 1 (+.f64 (+.f64 1 x) (fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)) (-.f64 1 x)))) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))))
(fma.f64 (+.f64 x x) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))))
(fma.f64 (+.f64 x x) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(fma.f64 (+.f64 x x) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))))
(fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 1/2) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 1/2) (*.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))))) (cbrt.f64 (neg.f64 (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 x))) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 x))) (*.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1))
(fma.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (neg.f64 (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 1 x)))
(fma.f64 -1 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (+.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (-.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))))
(fma.f64 (+.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (-.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(fma.f64 (+.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (-.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))))
(+.f64 0 (sqrt.f64 (-.f64 1 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 x))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 x)))) 1)
(*.f64 1 (sqrt.f64 (-.f64 1 x)))
(*.f64 (sqrt.f64 (-.f64 1 x)) 1)
(*.f64 (sqrt.f64 (-.f64 1 x)) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (cbrt.f64 (-.f64 1 x)))
(*.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (sqrt.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) 1/4)) 2))
(*.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 1/2) (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 x))))
(*.f64 (pow.f64 1 1/3) (sqrt.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1/3) (pow.f64 (*.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 1/3))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (-.f64 1 x) 1/4)) 1/3) (pow.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (-.f64 1 x) 1/4)) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 1 x))) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) 2))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) 1) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 1 x))) 1))
(*.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/2) (pow.f64 (/.f64 1 (+.f64 1 x)) 1/2))
(*.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (-.f64 1 (pow.f64 x 2))) 1/2) (sqrt.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (-.f64 1 x) 1/4) 1/2) (pow.f64 (*.f64 (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 x))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) 3))
(*.f64 (pow.f64 (-.f64 1 (pow.f64 x 3)) 1/2) (pow.f64 (/.f64 1 (fma.f64 x (+.f64 1 x) 1)) 1/2))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (-.f64 1 x) 1/4)) 1/2) (pow.f64 (pow.f64 (-.f64 1 x) 1/4) 1/2))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (-.f64 1 x))) 1/2) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x))) 1/2))
(*.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 3))) 1/2) (pow.f64 (fma.f64 x (-.f64 x 1) 1) 1/2))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1/2) 1) (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 1/2) 1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) 1/4)) 3) (pow.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) 1/4)) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) 3))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (-.f64 1 x) 1/4) 3) 1/3) (pow.f64 (pow.f64 (pow.f64 (-.f64 1 x) 1/4) 3) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 1 x) 3/2)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 1 x) 3/2)) 1/3))
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 (-.f64 1 x)) 3/2) 1/3) (pow.f64 (pow.f64 (sqrt.f64 (-.f64 1 x)) 3/2) 1/3))
(*.f64 (pow.f64 (*.f64 (-.f64 1 x) (cbrt.f64 (-.f64 1 x))) 1/3) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x))) 1/3))
(*.f64 (pow.f64 (*.f64 (-.f64 1 x) (pow.f64 (-.f64 1 x) 1/4)) 1/3) (pow.f64 (pow.f64 (-.f64 1 x) 1/4) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 1 x) 1/4)) 2) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 1 x) 1/4)) 2))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (sqrt.f64 (+.f64 1 x)))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 3))) (hypot.f64 1 (hypot.f64 x (sqrt.f64 x))))
(pow.f64 (-.f64 1 x) 1/2)
(pow.f64 (sqrt.f64 (-.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (-.f64 1 x) 3/2) 1/3)
(pow.f64 (pow.f64 (-.f64 1 x) 1/4) 2)
(fabs.f64 (sqrt.f64 (-.f64 1 x)))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (-.f64 1 x) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 x))))
(hypot.f64 1 (sqrt.f64 (neg.f64 x)))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 x))))
(exp.f64 (*.f64 1/2 (log1p.f64 (neg.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 x)) 1/2))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (neg.f64 x))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) 3))
(exp.f64 (*.f64 (*.f64 3/2 (log1p.f64 (neg.f64 x))) 1/3))
(exp.f64 (*.f64 (*.f64 1/4 (log1p.f64 (neg.f64 x))) 2))
(+.f64 0 (sqrt.f64 (+.f64 1 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 x)))) (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 x))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x)))) 1)
(*.f64 1 (sqrt.f64 (+.f64 1 x)))
(*.f64 (sqrt.f64 (+.f64 1 x)) 1)
(*.f64 (sqrt.f64 (+.f64 1 x)) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 (+.f64 1 x)))
(*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))))
(*.f64 (cbrt.f64 (+.f64 1 x)) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 1/4)) 2))
(*.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 1/2) (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/4) 1/2) (pow.f64 (*.f64 (pow.f64 (+.f64 1 x) 1/4) (sqrt.f64 (+.f64 1 x))) 1/2))
(*.f64 (pow.f64 1 1/3) (sqrt.f64 (+.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1/3) (pow.f64 (*.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))) 1/3))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) (pow.f64 (+.f64 1 x) 1/4)) 1/3) (pow.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) (pow.f64 (+.f64 1 x) 1/4)) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 x))) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) 1) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 x))) 1))
(*.f64 (pow.f64 (+.f64 1 (pow.f64 x 3)) 1/2) (pow.f64 (/.f64 1 (fma.f64 x (-.f64 x 1) 1)) 1/2))
(*.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/2) (pow.f64 (/.f64 1 (-.f64 1 x)) 1/2))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) (pow.f64 (+.f64 1 x) 1/4)) 1/2) (pow.f64 (pow.f64 (+.f64 1 x) 1/4) 1/2))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) (cbrt.f64 (+.f64 1 x))) 1/2) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) 1/2))
(*.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (-.f64 1 (pow.f64 x 2))) 1/2) (sqrt.f64 (+.f64 1 x)))
(*.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (-.f64 1 (pow.f64 x 3))) 1/2) (pow.f64 (fma.f64 x (+.f64 1 x) 1) 1/2))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1/2) 1) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 1/2) 1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 1/4)) 3) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 1/4)) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) 3))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/4) 3) 1/3) (pow.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/4) 3) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 x) 3/2)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 x) 3/2)) 1/3))
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) 3/2) 1/3) (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) 3/2) 1/3))
(*.f64 (pow.f64 (*.f64 (+.f64 1 x) (cbrt.f64 (+.f64 1 x))) 1/3) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) 1/3))
(*.f64 (pow.f64 (*.f64 (+.f64 1 x) (pow.f64 (+.f64 1 x) 1/4)) 1/3) (pow.f64 (pow.f64 (+.f64 1 x) 1/4) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 x) 1/4)) 2) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 x) 1/4)) 2))
(/.f64 (hypot.f64 1 (pow.f64 x 3/2)) (sqrt.f64 (fma.f64 x (-.f64 x 1) 1)))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (sqrt.f64 (-.f64 1 x)))
(pow.f64 (+.f64 1 x) 1/2)
(pow.f64 (sqrt.f64 (+.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) 3)
(pow.f64 (pow.f64 (+.f64 1 x) 3/2) 1/3)
(pow.f64 (pow.f64 (+.f64 1 x) 1/4) 2)
(fabs.f64 (sqrt.f64 (+.f64 1 x)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 x)))))
(cbrt.f64 (pow.f64 (+.f64 1 x) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))))
(hypot.f64 1 (sqrt.f64 x))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 x))))
(exp.f64 (*.f64 1/2 (log1p.f64 x)))
(exp.f64 (*.f64 (log1p.f64 x) 1/2))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 1))
(exp.f64 (*.f64 (*.f64 1/3 (*.f64 1/2 (log1p.f64 x))) 3))
(exp.f64 (*.f64 (*.f64 3/2 (log1p.f64 x)) 1/3))
(exp.f64 (*.f64 (*.f64 1/4 (log1p.f64 x)) 2))
Outputs
x
(+.f64 x (*.f64 1/8 (pow.f64 x 3)))
(fma.f64 1/8 (pow.f64 x 3) x)
(+.f64 x (+.f64 (*.f64 7/128 (pow.f64 x 5)) (*.f64 1/8 (pow.f64 x 3))))
(+.f64 x (fma.f64 7/128 (pow.f64 x 5) (*.f64 1/8 (pow.f64 x 3))))
(+.f64 (fma.f64 1/8 (pow.f64 x 3) x) (*.f64 7/128 (pow.f64 x 5)))
(+.f64 x (+.f64 (*.f64 33/1024 (pow.f64 x 7)) (+.f64 (*.f64 7/128 (pow.f64 x 5)) (*.f64 1/8 (pow.f64 x 3)))))
(+.f64 x (fma.f64 33/1024 (pow.f64 x 7) (fma.f64 7/128 (pow.f64 x 5) (*.f64 1/8 (pow.f64 x 3)))))
(+.f64 (fma.f64 33/1024 (pow.f64 x 7) (*.f64 7/128 (pow.f64 x 5))) (fma.f64 1/8 (pow.f64 x 3) x))
0
0
0
0
0
0
0
0
1
(+.f64 1 (*.f64 -1/2 x))
(+.f64 1 (*.f64 x -1/2))
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(log.f64 (exp.f64 (sqrt.f64 (-.f64 1 x))))
(sqrt.f64 (-.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 x)))))
(sqrt.f64 (-.f64 1 x))
(cbrt.f64 (pow.f64 (-.f64 1 x) 3/2))
(sqrt.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 x))))
(hypot.f64 1 (sqrt.f64 (neg.f64 x)))
(sqrt.f64 (-.f64 1 x))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 x))))
(sqrt.f64 (-.f64 1 x))
(exp.f64 (*.f64 1/2 (log1p.f64 (neg.f64 x))))
(sqrt.f64 (-.f64 1 x))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 x)) 1/2))
(sqrt.f64 (-.f64 1 x))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (neg.f64 x))) 1))
(sqrt.f64 (-.f64 1 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) 3))
(sqrt.f64 (-.f64 1 x))
(exp.f64 (*.f64 (*.f64 3/2 (log1p.f64 (neg.f64 x))) 1/3))
(sqrt.f64 (-.f64 1 x))
(exp.f64 (*.f64 (*.f64 1/4 (log1p.f64 (neg.f64 x))) 2))
(sqrt.f64 (-.f64 1 x))
(+.f64 0 (sqrt.f64 (+.f64 1 x)))
(sqrt.f64 (+.f64 x 1))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 x)))) (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 x))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x)))) 1)
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))
(*.f64 1 (sqrt.f64 (+.f64 1 x)))
(sqrt.f64 (+.f64 x 1))
(*.f64 (sqrt.f64 (+.f64 1 x)) 1)
(sqrt.f64 (+.f64 x 1))
(*.f64 (sqrt.f64 (+.f64 1 x)) (log.f64 (exp.f64 1)))
(sqrt.f64 (+.f64 x 1))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 (+.f64 1 x)))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 x 1)))
(*.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 (+.f64 x 1)))
(*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 x 1)))
(*.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 (+.f64 x 1)))
(*.f64 (cbrt.f64 (+.f64 1 x)) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 1/4)) 2))
(*.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 1/4)) 2))
(*.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4))
(sqrt.f64 (+.f64 x 1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
(pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x 1))) 3)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
(pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x 1))) 3)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 1/2) (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))) 1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (sqrt.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) 4)))
(*.f64 (sqrt.f64 (cbrt.f64 (+.f64 x 1))) (pow.f64 (pow.f64 (+.f64 x 1) 1/6) 2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
(pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x 1))) 3)
(*.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/4) 1/2) (pow.f64 (*.f64 (pow.f64 (+.f64 1 x) 1/4) (sqrt.f64 (+.f64 1 x))) 1/2))
(sqrt.f64 (+.f64 x 1))
(*.f64 (pow.f64 1 1/3) (sqrt.f64 (+.f64 1 x)))
(sqrt.f64 (+.f64 x 1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1/3) (pow.f64 (*.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1)))))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) (pow.f64 (+.f64 1 x) 1/4)) 1/3) (pow.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) (pow.f64 (+.f64 1 x) 1/4)) 1/3))
(sqrt.f64 (+.f64 x 1))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 x))) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) 2))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 x 1)))
(*.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 (+.f64 x 1)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) 3))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 x 1)))
(*.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 (+.f64 x 1)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) 1) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 x))) 1))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
(pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x 1))) 3)
(*.f64 (pow.f64 (+.f64 1 (pow.f64 x 3)) 1/2) (pow.f64 (/.f64 1 (fma.f64 x (-.f64 x 1) 1)) 1/2))
(*.f64 (hypot.f64 1 (pow.f64 x 3/2)) (sqrt.f64 (/.f64 1 (fma.f64 x (+.f64 x -1) 1))))
(*.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/2) (pow.f64 (/.f64 1 (-.f64 1 x)) 1/2))
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (-.f64 1 x))))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) (pow.f64 (+.f64 1 x) 1/4)) 1/2) (pow.f64 (pow.f64 (+.f64 1 x) 1/4) 1/2))
(sqrt.f64 (+.f64 x 1))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) (cbrt.f64 (+.f64 1 x))) 1/2) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) 1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1)))))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) 1/6)) (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1)))))
(*.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (-.f64 1 (pow.f64 x 2))) 1/2) (sqrt.f64 (+.f64 1 x)))
(sqrt.f64 (+.f64 x 1))
(*.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (-.f64 1 (pow.f64 x 3))) 1/2) (pow.f64 (fma.f64 x (+.f64 1 x) 1) 1/2))
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (-.f64 1 (pow.f64 x 3)))) (sqrt.f64 (fma.f64 x (+.f64 x 1) 1)))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1/2) 1) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 1/2) 1))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
(pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x 1))) 3)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 1/4)) 3) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 1/4)) 3))
(sqrt.f64 (+.f64 x 1))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) 3))
(sqrt.f64 (+.f64 x 1))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) 3))
(sqrt.f64 (+.f64 x 1))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/4) 3) 1/3) (pow.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/4) 3) 1/3))
(sqrt.f64 (+.f64 x 1))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 x) 3/2)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 x) 3/2)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) 3/2))) (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) 3/2))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 3/4)) (cbrt.f64 (pow.f64 (+.f64 x 1) 3/4)))
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) 3/2) 1/3) (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) 3/2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 3/2)) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 3/2)))
(*.f64 (pow.f64 (*.f64 (+.f64 1 x) (cbrt.f64 (+.f64 1 x))) 1/3) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (*.f64 (+.f64 x 1) (cbrt.f64 (+.f64 x 1)))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 1/6)) (cbrt.f64 (*.f64 (+.f64 x 1) (cbrt.f64 (+.f64 x 1)))))
(*.f64 (pow.f64 (*.f64 (+.f64 1 x) (pow.f64 (+.f64 1 x) 1/4)) 1/3) (pow.f64 (pow.f64 (+.f64 1 x) 1/4) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 1/4)) (cbrt.f64 (*.f64 (+.f64 x 1) (pow.f64 (+.f64 x 1) 1/4))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 1/4)) (cbrt.f64 (pow.f64 (+.f64 x 1) 5/4)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 x) 1/4)) 2) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 x) 1/4)) 2))
(sqrt.f64 (+.f64 x 1))
(/.f64 (hypot.f64 1 (pow.f64 x 3/2)) (sqrt.f64 (fma.f64 x (-.f64 x 1) 1)))
(/.f64 (hypot.f64 1 (pow.f64 x 3/2)) (sqrt.f64 (fma.f64 x (+.f64 x -1) 1)))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (sqrt.f64 (-.f64 1 x)))
(pow.f64 (+.f64 1 x) 1/2)
(sqrt.f64 (+.f64 x 1))
(pow.f64 (sqrt.f64 (+.f64 1 x)) 1)
(sqrt.f64 (+.f64 x 1))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) 3)
(sqrt.f64 (+.f64 x 1))
(pow.f64 (pow.f64 (+.f64 1 x) 3/2) 1/3)
(sqrt.f64 (+.f64 x 1))
(pow.f64 (pow.f64 (+.f64 1 x) 1/4) 2)
(sqrt.f64 (+.f64 x 1))
(fabs.f64 (sqrt.f64 (+.f64 1 x)))
(sqrt.f64 (+.f64 x 1))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1 x))))
(sqrt.f64 (+.f64 x 1))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 x)))))
(sqrt.f64 (+.f64 x 1))
(cbrt.f64 (pow.f64 (+.f64 1 x) 3/2))
(sqrt.f64 (+.f64 x 1))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))
(hypot.f64 1 (sqrt.f64 x))
(sqrt.f64 (+.f64 x 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 x))))
(sqrt.f64 (+.f64 x 1))
(exp.f64 (*.f64 1/2 (log1p.f64 x)))
(sqrt.f64 (+.f64 x 1))
(exp.f64 (*.f64 (log1p.f64 x) 1/2))
(sqrt.f64 (+.f64 x 1))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 1))
(sqrt.f64 (+.f64 x 1))
(exp.f64 (*.f64 (*.f64 1/3 (*.f64 1/2 (log1p.f64 x))) 3))
(sqrt.f64 (+.f64 x 1))
(exp.f64 (*.f64 (*.f64 3/2 (log1p.f64 x)) 1/3))
(sqrt.f64 (+.f64 x 1))
(exp.f64 (*.f64 (*.f64 1/4 (log1p.f64 x)) 2))
(sqrt.f64 (+.f64 x 1))

eval267.0ms (3.9%)

Compiler

Compiled 6804 to 5580 computations (18% saved)

prune52.0ms (0.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New3435348
Fresh000
Picked011
Done000
Total3436349
Accuracy
100.0%
Counts
349 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
99.7%
(/.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 x x)))
9.2%
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
99.6%
(+.f64 x (+.f64 (*.f64 7/128 (pow.f64 x 5)) (*.f64 1/8 (pow.f64 x 3))))
99.4%
(+.f64 x (*.f64 1/8 (pow.f64 x 3)))
98.9%
x
Compiler

Compiled 118 to 88 computations (25.4% saved)

localize223.0ms (3.3%)

Localize:

Found 9 expressions with local error:

NewAccuracyProgram
100.0%
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
100.0%
(sqrt.f64 (+.f64 1 x))
100.0%
(sqrt.f64 (-.f64 1 x))
99.7%
(/.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 x x)))
100.0%
(+.f64 (*.f64 7/128 (pow.f64 x 5)) (*.f64 1/8 (pow.f64 x 3)))
100.0%
(*.f64 7/128 (pow.f64 x 5))
100.0%
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
100.0%
(sqrt.f64 (+.f64 1 x))
100.0%
(sqrt.f64 (-.f64 1 x))
Compiler

Compiled 163 to 113 computations (30.7% saved)

series16.0ms (0.2%)

Counts
5 → 15
Calls

15 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(/.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 x x)))
3.0ms
x
@0
(+.f64 (*.f64 7/128 (pow.f64 x 5)) (*.f64 1/8 (pow.f64 x 3)))
1.0ms
x
@0
(*.f64 7/128 (pow.f64 x 5))
1.0ms
x
@inf
(+.f64 (*.f64 7/128 (pow.f64 x 5)) (*.f64 1/8 (pow.f64 x 3)))
1.0ms
x
@inf
(*.f64 7/128 (pow.f64 x 5))

rewrite169.0ms (2.5%)

Algorithm
batch-egg-rewrite
Rules
1042×log1p-expm1-u
582×expm1-log1p-u
236×associate-*r*
152×add-exp-log
152×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
024169
1363148
25500148
Stop Event
node limit
Counts
5 → 238
Calls
Call 1
Inputs
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(*.f64 7/128 (pow.f64 x 5))
(+.f64 (*.f64 7/128 (pow.f64 x 5)) (*.f64 1/8 (pow.f64 x 3)))
(/.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 x x)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
Outputs
(-.f64 0 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 1)
(-.f64 (/.f64 (+.f64 1 x) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (/.f64 (-.f64 1 x) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 0 0) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 1)
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (/.f64 0 0))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (/.f64 (/.f64 0 0) 1))
(*.f64 -1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 1/2 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) x))
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) (neg.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) (/.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 1))
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(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (-.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)))
(*.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 2) x)
(*.f64 (/.f64 (/.f64 0 0) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2)) (/.f64 (/.f64 0 0) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (-.f64 (+.f64 (+.f64 1 x) (-.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))))
(*.f64 (/.f64 (/.f64 0 0) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (-.f64 (+.f64 (+.f64 1 x) (-.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) -1)
(pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2)
(neg.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) -2))
(log.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))
(log.f64 (/.f64 (exp.f64 (sqrt.f64 (+.f64 1 x))) (exp.f64 (sqrt.f64 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 3))
(cbrt.f64 (/.f64 (/.f64 0 0) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 3)))
(expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) -1))
(exp.f64 (*.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 1))
(exp.f64 (-.f64 (log.f64 (/.f64 0 0)) (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(-.f64 0 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 1)
(-.f64 (/.f64 (+.f64 1 x) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (/.f64 (-.f64 1 x) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 0 0) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 1)
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (/.f64 0 0))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (/.f64 (/.f64 0 0) 1))
(*.f64 -1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 1/2 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) x))
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) (neg.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) (/.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 1))
(*.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)))
(*.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (/.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) 1))
(*.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (neg.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (/.f64 1 (-.f64 (+.f64 (+.f64 1 x) (-.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) 1) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) (/.f64 0 0)) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) 2) (/.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) x))
(*.f64 (/.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) 1) (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)))
(*.f64 (/.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) 2) (/.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) x))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (neg.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4))) (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)))
(*.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (*.f64 (pow.f64 x 3) 2)) (fma.f64 x x 0))
(*.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 0) 0)
(/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(/.f64 1 (/.f64 (-.f64 (+.f64 (+.f64 1 x) (-.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2))))
(/.f64 1 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 1))
(/.f64 (/.f64 0 0) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 1)
(/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (/.f64 0 0))
(/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) -1)
(/.f64 -1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (-.f64 (+.f64 (+.f64 1 x) (-.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (neg.f64 (-.f64 (+.f64 (+.f64 1 x) (-.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (+.f64 (-.f64 1 x) (-.f64 (+.f64 1 x) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (*.f64 (/.f64 0 0) (-.f64 (+.f64 (+.f64 1 x) (-.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) 1) (*.f64 (-.f64 (+.f64 (+.f64 1 x) (-.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))) (/.f64 0 0)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (-.f64 (+.f64 (+.f64 1 x) (-.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (neg.f64 (-.f64 (+.f64 (+.f64 1 x) (-.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))))
(/.f64 (-.f64 (-.f64 1 x) (+.f64 1 x)) (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (/.f64 0 0)) (-.f64 (+.f64 (+.f64 1 x) (-.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))))
(/.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 2) x)
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 1)
(pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) -1)
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 3) 1/3)
(pow.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) 2)
(neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 2))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))
(log.f64 (/.f64 1 (exp.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 1))
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(fma.f64 1 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (+.f64 1 x)))

simplify86.0ms (1.3%)

Algorithm
egg-herbie
Rules
108×*-commutative
90×sqr-pow
62×+-commutative
44×fma-undefine
40×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04029124
110459124
Stop Event
unsound
Counts
253 → 230
Calls
Call 1
Inputs
2
(+.f64 2 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 2 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 -5/64 (pow.f64 x 4))))
(+.f64 2 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -5/64 (pow.f64 x 4)) (*.f64 -21/512 (pow.f64 x 6)))))
(*.f64 1/8 (pow.f64 x 3))
(*.f64 7/128 (pow.f64 x 5))
(*.f64 7/128 (pow.f64 x 5))
x
(+.f64 x (*.f64 1/8 (pow.f64 x 3)))
(+.f64 x (+.f64 (*.f64 7/128 (pow.f64 x 5)) (*.f64 1/8 (pow.f64 x 3))))
(+.f64 x (+.f64 (*.f64 33/1024 (pow.f64 x 7)) (+.f64 (*.f64 7/128 (pow.f64 x 5)) (*.f64 1/8 (pow.f64 x 3)))))
2
(+.f64 2 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 2 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 -5/64 (pow.f64 x 4))))
(+.f64 2 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -5/64 (pow.f64 x 4)) (*.f64 -21/512 (pow.f64 x 6)))))
(-.f64 0 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 1)
(-.f64 (/.f64 (+.f64 1 x) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (/.f64 (-.f64 1 x) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 0 0) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 1)
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (/.f64 0 0))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (/.f64 (/.f64 0 0) 1))
(*.f64 -1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 1/2 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) x))
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) (neg.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) (/.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 1))
(*.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)))
(*.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (/.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) 1))
(*.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (neg.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (/.f64 1 (-.f64 (+.f64 (+.f64 1 x) (-.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) 1) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) (/.f64 0 0)) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) 2) (/.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) x))
(*.f64 (/.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) 1) (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)))
(*.f64 (/.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) 2) (/.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) x))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (neg.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4))) (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)))
(*.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (*.f64 (pow.f64 x 3) 2)) (fma.f64 x x 0))
(*.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 0) 0)
(/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
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(exp.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) -1))
(exp.f64 (*.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 1))
(exp.f64 (-.f64 (log.f64 (/.f64 0 0)) (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(-.f64 0 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 1)
(-.f64 (/.f64 (+.f64 1 x) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (/.f64 (-.f64 1 x) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 0 0) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 1)
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (/.f64 0 0))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (/.f64 (/.f64 0 0) 1))
(*.f64 -1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 1/2 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) x))
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) (neg.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) (/.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 1))
(*.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)))
(*.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (/.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) 1))
(*.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (neg.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (/.f64 1 (-.f64 (+.f64 (+.f64 1 x) (-.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) 1) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) (/.f64 0 0)) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) 2) (/.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) x))
(*.f64 (/.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) 1) (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)))
(*.f64 (/.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) 2) (/.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) x))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (neg.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4))) (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)))
(*.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (*.f64 (pow.f64 x 3) 2)) (fma.f64 x x 0))
(*.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 0) 0)
(/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(/.f64 1 (/.f64 (-.f64 (+.f64 (+.f64 1 x) (-.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2))))
(/.f64 1 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 1))
(/.f64 (/.f64 0 0) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 1)
(/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (/.f64 0 0))
(/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) -1)
(/.f64 -1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (-.f64 (+.f64 (+.f64 1 x) (-.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (neg.f64 (-.f64 (+.f64 (+.f64 1 x) (-.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (+.f64 (-.f64 1 x) (-.f64 (+.f64 1 x) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (*.f64 (/.f64 0 0) (-.f64 (+.f64 (+.f64 1 x) (-.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) 1) (*.f64 (-.f64 (+.f64 (+.f64 1 x) (-.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))) (/.f64 0 0)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (-.f64 (+.f64 (+.f64 1 x) (-.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (neg.f64 (-.f64 (+.f64 (+.f64 1 x) (-.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))))
(/.f64 (-.f64 (-.f64 1 x) (+.f64 1 x)) (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (/.f64 0 0)) (-.f64 (+.f64 (+.f64 1 x) (-.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))))
(/.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 2) x)
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 1)
(pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) -1)
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 3) 1/3)
(pow.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) 2)
(neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 2))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))
(log.f64 (/.f64 1 (exp.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 1))
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(fma.f64 1 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (+.f64 1 x)))
Outputs
2
(+.f64 2 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 2 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 -5/64 (pow.f64 x 4))))
(+.f64 2 (fma.f64 -1/4 (pow.f64 x 2) (*.f64 -5/64 (pow.f64 x 4))))
(+.f64 2 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -5/64 (pow.f64 x 4)) (*.f64 -21/512 (pow.f64 x 6)))))
(+.f64 2 (fma.f64 -1/4 (pow.f64 x 2) (fma.f64 -5/64 (pow.f64 x 4) (*.f64 -21/512 (pow.f64 x 6)))))
(*.f64 1/8 (pow.f64 x 3))
(*.f64 7/128 (pow.f64 x 5))
(*.f64 7/128 (pow.f64 x 5))
x
(+.f64 x (*.f64 1/8 (pow.f64 x 3)))
(+.f64 x (+.f64 (*.f64 7/128 (pow.f64 x 5)) (*.f64 1/8 (pow.f64 x 3))))
(+.f64 x (fma.f64 7/128 (pow.f64 x 5) (*.f64 1/8 (pow.f64 x 3))))
(+.f64 x (+.f64 (*.f64 33/1024 (pow.f64 x 7)) (+.f64 (*.f64 7/128 (pow.f64 x 5)) (*.f64 1/8 (pow.f64 x 3)))))
(+.f64 x (fma.f64 33/1024 (pow.f64 x 7) (fma.f64 7/128 (pow.f64 x 5) (*.f64 1/8 (pow.f64 x 3)))))
2
(+.f64 2 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 2 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 -5/64 (pow.f64 x 4))))
(+.f64 2 (fma.f64 -1/4 (pow.f64 x 2) (*.f64 -5/64 (pow.f64 x 4))))
(+.f64 2 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -5/64 (pow.f64 x 4)) (*.f64 -21/512 (pow.f64 x 6)))))
(+.f64 2 (fma.f64 -1/4 (pow.f64 x 2) (fma.f64 -5/64 (pow.f64 x 4) (*.f64 -21/512 (pow.f64 x 6)))))
(-.f64 0 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
-1
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 1)
-1
(-.f64 (/.f64 (+.f64 1 x) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (/.f64 (-.f64 1 x) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(-.f64 (/.f64 (+.f64 x -1) (-.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (-.f64 -1 x)))) (/.f64 (-.f64 -1 x) (-.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (-.f64 -1 x)))))
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
-1
(*.f64 (/.f64 0 0) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
-1
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 1)
-1
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (/.f64 0 0))
-1
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (/.f64 (/.f64 0 0) 1))
-1
(*.f64 -1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
-1
(*.f64 1/2 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) x))
(/.f64 -1/2 x)
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2))
-1
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
-1
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) (neg.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))
-1
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) (/.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 1))
-1
(*.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)))
(pow.f64 (hypot.f64 (pow.f64 (+.f64 x -1) 1/4) (pow.f64 (-.f64 -1 x) 1/4)) 2)
(*.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (/.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) 1))
(pow.f64 (hypot.f64 (pow.f64 (+.f64 x -1) 1/4) (pow.f64 (-.f64 -1 x) 1/4)) 2)
(*.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (neg.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4))))
(neg.f64 (pow.f64 (hypot.f64 (pow.f64 (+.f64 x -1) 1/4) (pow.f64 (-.f64 -1 x) 1/4)) 2))
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (/.f64 1 (-.f64 (+.f64 (+.f64 1 x) (-.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x -1) 3/2) (pow.f64 (-.f64 -1 x) 3/2)) (+.f64 (+.f64 x -1) (-.f64 (-.f64 -1 x) (sqrt.f64 (*.f64 (+.f64 x -1) (-.f64 -1 x))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) 1) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
-1
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) (/.f64 0 0)) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
-1
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) 2) (/.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) x))
(/.f64 -1/2 x)
(*.f64 (/.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) 1) (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)))
(pow.f64 (hypot.f64 (pow.f64 (+.f64 x -1) 1/4) (pow.f64 (-.f64 -1 x) 1/4)) 2)
(*.f64 (/.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) 2) (/.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) x))
(*.f64 (/.f64 (hypot.f64 (pow.f64 (+.f64 x -1) 1/4) (pow.f64 (-.f64 -1 x) 1/4)) 2) (/.f64 (hypot.f64 (pow.f64 (+.f64 x -1) 1/4) (pow.f64 (-.f64 -1 x) 1/4)) x))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
-1
(*.f64 (neg.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4))) (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)))
(neg.f64 (pow.f64 (hypot.f64 (pow.f64 (+.f64 x -1) 1/4) (pow.f64 (-.f64 -1 x) 1/4)) 2))
(*.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (*.f64 (pow.f64 x 3) 2)) (fma.f64 x x 0))
(/.f64 (*.f64 -1 (fma.f64 x x -1)) (*.f64 2 (pow.f64 x 3)))
(*.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 0) 0)
-1
(/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(-.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (-.f64 -1 x)))
(/.f64 1 (/.f64 (-.f64 (+.f64 (+.f64 1 x) (-.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2))))
(/.f64 (+.f64 (pow.f64 (+.f64 x -1) 3/2) (pow.f64 (-.f64 -1 x) 3/2)) (+.f64 (+.f64 x -1) (-.f64 (-.f64 -1 x) (sqrt.f64 (*.f64 (+.f64 x -1) (-.f64 -1 x))))))
(/.f64 1 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 1))
(-.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (-.f64 -1 x)))
(/.f64 (/.f64 0 0) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(-.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (-.f64 -1 x)))
(/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 1)
-1
(/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (/.f64 0 0))
-1
(/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) -1)
-1
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(neg.f64 (pow.f64 (hypot.f64 (pow.f64 (+.f64 x -1) 1/4) (pow.f64 (-.f64 -1 x) 1/4)) 2))
(*.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (*.f64 (pow.f64 x 3) 2)) (fma.f64 x x 0))
(/.f64 (*.f64 -1 (fma.f64 x x -1)) (*.f64 2 (pow.f64 x 3)))
(*.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 0) 0)
-1
(/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(-.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (-.f64 -1 x)))
(/.f64 1 (/.f64 (-.f64 (+.f64 (+.f64 1 x) (-.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2))))
(/.f64 (+.f64 (pow.f64 (+.f64 x -1) 3/2) (pow.f64 (-.f64 -1 x) 3/2)) (+.f64 (+.f64 x -1) (-.f64 (-.f64 -1 x) (sqrt.f64 (*.f64 (+.f64 x -1) (-.f64 -1 x))))))
(/.f64 1 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 1))
(-.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (-.f64 -1 x)))
(/.f64 (/.f64 0 0) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(-.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (-.f64 -1 x)))
(/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 1)
-1
(/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (/.f64 0 0))
-1
(/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) -1)
-1
(/.f64 -1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(-.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (-.f64 -1 x)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (-.f64 (+.f64 (+.f64 1 x) (-.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 x -1) 3/2) (pow.f64 (-.f64 -1 x) 3/2)) (+.f64 (+.f64 x -1) (-.f64 (-.f64 -1 x) (sqrt.f64 (*.f64 (+.f64 x -1) (-.f64 -1 x))))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (neg.f64 (-.f64 (+.f64 (+.f64 1 x) (-.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x -1) 3/2) (pow.f64 (-.f64 -1 x) 3/2)) (+.f64 (+.f64 x -1) (-.f64 (-.f64 -1 x) (sqrt.f64 (*.f64 (+.f64 x -1) (-.f64 -1 x))))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (+.f64 (-.f64 1 x) (-.f64 (+.f64 1 x) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x -1) 3/2) (pow.f64 (-.f64 -1 x) 3/2)) (+.f64 (+.f64 x -1) (-.f64 (-.f64 -1 x) (sqrt.f64 (*.f64 (+.f64 x -1) (-.f64 -1 x))))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (*.f64 (/.f64 0 0) (-.f64 (+.f64 (+.f64 1 x) (-.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x -1) 3/2) (pow.f64 (-.f64 -1 x) 3/2)) (+.f64 (+.f64 x -1) (-.f64 (-.f64 -1 x) (sqrt.f64 (*.f64 (+.f64 x -1) (-.f64 -1 x))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) 1) (*.f64 (-.f64 (+.f64 (+.f64 1 x) (-.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))) (/.f64 0 0)))
(/.f64 (+.f64 (pow.f64 (+.f64 x -1) 3/2) (pow.f64 (-.f64 -1 x) 3/2)) (+.f64 (+.f64 x -1) (-.f64 (-.f64 -1 x) (sqrt.f64 (*.f64 (+.f64 x -1) (-.f64 -1 x))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (-.f64 (+.f64 (+.f64 1 x) (-.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 x -1) 3/2) (pow.f64 (-.f64 -1 x) 3/2)) (+.f64 (+.f64 x -1) (-.f64 (-.f64 -1 x) (sqrt.f64 (*.f64 (+.f64 x -1) (-.f64 -1 x))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (neg.f64 (-.f64 (+.f64 (+.f64 1 x) (-.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x -1) 3/2) (pow.f64 (-.f64 -1 x) 3/2)) (+.f64 (+.f64 x -1) (-.f64 (-.f64 -1 x) (sqrt.f64 (*.f64 (+.f64 x -1) (-.f64 -1 x))))))
(/.f64 (-.f64 (-.f64 1 x) (+.f64 1 x)) (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))))
(/.f64 (-.f64 (-.f64 -1 x) (+.f64 x -1)) (-.f64 (sqrt.f64 (-.f64 -1 x)) (sqrt.f64 (+.f64 x -1))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (/.f64 0 0)) (-.f64 (+.f64 (+.f64 1 x) (-.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 x -1) 3/2) (pow.f64 (-.f64 -1 x) 3/2)) (+.f64 (+.f64 x -1) (-.f64 (-.f64 -1 x) (sqrt.f64 (*.f64 (+.f64 x -1) (-.f64 -1 x))))))
(/.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 2) x)
(/.f64 -1/2 x)
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 1)
-1
(pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) -1)
(-.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (-.f64 -1 x)))
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 3)
-1
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 3) 1/3)
-1
(pow.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) 2)
(pow.f64 (hypot.f64 (pow.f64 (+.f64 x -1) 1/4) (pow.f64 (-.f64 -1 x) 1/4)) 2)
(neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
-1
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 2))
-1
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
-1
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))
-1
(log.f64 (/.f64 1 (exp.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))
-1
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 3))
-1
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
-1
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
-1
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
-1
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 1))
-1
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(fma.f64 -1 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (-.f64 -1 x)))
(fma.f64 1 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))
(-.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (-.f64 -1 x)))
(fma.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (cbrt.f64 (-.f64 -1 x)) (cbrt.f64 (sqrt.f64 (-.f64 -1 x))) (sqrt.f64 (+.f64 x -1)))
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(fma.f64 (cbrt.f64 (+.f64 x -1)) (cbrt.f64 (sqrt.f64 (+.f64 x -1))) (sqrt.f64 (-.f64 -1 x)))
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (+.f64 x -1) 1/4) (pow.f64 (+.f64 x -1) 1/4) (sqrt.f64 (-.f64 -1 x)))
(fma.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (pow.f64 (-.f64 -1 x) 1/4) (pow.f64 (-.f64 -1 x) 1/4) (sqrt.f64 (+.f64 x -1)))

eval771.0ms (11.4%)

Compiler

Compiled 23094 to 17068 computations (26.1% saved)

prune115.0ms (1.7%)

Pruning

8 alts after pruning (2 fresh and 6 done)

PrunedKeptTotal
New104721049
Fresh000
Picked055
Done011
Total104781055
Accuracy
100.0%
Counts
1055 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
99.4%
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 -1/4 (pow.f64 x 2))))
99.7%
(/.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 x x)))
99.2%
(/.f64 1 (/.f64 (+.f64 2 (*.f64 -1/4 (pow.f64 x 2))) (+.f64 x x)))
9.2%
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
99.6%
(+.f64 x (+.f64 (*.f64 7/128 (pow.f64 x 5)) (*.f64 1/8 (pow.f64 x 3))))
99.4%
(+.f64 x (*.f64 1/8 (pow.f64 x 3)))
98.9%
x
Compiler

Compiled 90 to 68 computations (24.4% saved)

localize89.0ms (1.3%)

Localize:

Found 5 expressions with local error:

NewAccuracyProgram
100.0%
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 -1/4 (pow.f64 x 2))))
100.0%
(*.f64 -1/4 (pow.f64 x 2))
100.0%
(/.f64 (+.f64 2 (*.f64 -1/4 (pow.f64 x 2))) (+.f64 x x))
100.0%
(*.f64 -1/4 (pow.f64 x 2))
99.7%
(/.f64 1 (/.f64 (+.f64 2 (*.f64 -1/4 (pow.f64 x 2))) (+.f64 x x)))
Compiler

Compiled 80 to 55 computations (31.3% saved)

series12.0ms (0.2%)

Counts
5 → 36
Calls

15 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(*.f64 -1/4 (pow.f64 x 2))
1.0ms
x
@inf
(/.f64 1 (/.f64 (+.f64 2 (*.f64 -1/4 (pow.f64 x 2))) (+.f64 x x)))
1.0ms
x
@inf
(/.f64 (+.f64 2 (*.f64 -1/4 (pow.f64 x 2))) (+.f64 x x))
1.0ms
x
@0
(/.f64 (+.f64 2 (*.f64 -1/4 (pow.f64 x 2))) (+.f64 x x))
1.0ms
x
@0
(/.f64 1 (/.f64 (+.f64 2 (*.f64 -1/4 (pow.f64 x 2))) (+.f64 x x)))

rewrite115.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
916×prod-diff
860×log-prod
838×log1p-expm1-u
838×expm1-log1p-u
422×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
015143
1211122
22992122
Stop Event
node limit
Counts
5 → 187
Calls
Call 1
Inputs
(/.f64 1 (/.f64 (+.f64 2 (*.f64 -1/4 (pow.f64 x 2))) (+.f64 x x)))
(*.f64 -1/4 (pow.f64 x 2))
(/.f64 (+.f64 2 (*.f64 -1/4 (pow.f64 x 2))) (+.f64 x x))
(*.f64 -1/4 (pow.f64 x 2))
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 -1/4 (pow.f64 x 2))))
Outputs
(+.f64 0 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)))
(+.f64 (*.f64 (/.f64 1 (fma.f64 -1/4 (pow.f64 x 2) 2)) x) (*.f64 (/.f64 1 (fma.f64 -1/4 (pow.f64 x 2) 2)) x))
(+.f64 (*.f64 x (/.f64 1 (fma.f64 -1/4 (pow.f64 x 2) 2))) (*.f64 x (/.f64 1 (fma.f64 -1/4 (pow.f64 x 2) 2))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)))) (cbrt.f64 (exp.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)))) 1)
(*.f64 1 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)))
(*.f64 2 (/.f64 x (fma.f64 -1/4 (pow.f64 x 2) 2)))
(*.f64 2 (*.f64 x (/.f64 1 (fma.f64 -1/4 (pow.f64 x 2) 2))))
(*.f64 (/.f64 0 0) (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)))
(*.f64 (/.f64 0 0) (/.f64 1 (fma.f64 -1/4 (pow.f64 x 2) 2)))
(*.f64 (/.f64 0 0) (/.f64 1 (neg.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))))
(*.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)) 1)
(*.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)) (/.f64 0 0))
(*.f64 -1 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)))
(*.f64 (/.f64 (/.f64 0 0) (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))) (pow.f64 (/.f64 (/.f64 0 0) (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))) 2))
(*.f64 (pow.f64 (/.f64 (/.f64 0 0) (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))) 2) (/.f64 (/.f64 0 0) (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))))
(*.f64 (/.f64 (/.f64 0 0) (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))) (/.f64 (/.f64 0 0) (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))))
(*.f64 (/.f64 1 (fma.f64 -1/4 (pow.f64 x 2) 2)) (/.f64 0 0))
(*.f64 (pow.f64 (pow.f64 (*.f64 (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2)) (/.f64 0 0)) 2) -1) (pow.f64 (*.f64 (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2)) (/.f64 0 0)) -1))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2)) (/.f64 0 0)) -1) (pow.f64 (*.f64 (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2)) (/.f64 0 0)) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2)) 2)) (/.f64 (/.f64 0 0) (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))) (/.f64 (/.f64 0 0) (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))))
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2)) 2)) (/.f64 x (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))))
(*.f64 (/.f64 2 (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))) (/.f64 x (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))))
(*.f64 (/.f64 (/.f64 0 0) 1) (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)))
(*.f64 (/.f64 1 (neg.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))) (/.f64 0 0))
(*.f64 (*.f64 (/.f64 1 (fma.f64 -1/4 (pow.f64 x 2) 2)) 1) (/.f64 0 0))
(*.f64 (*.f64 (/.f64 1 (fma.f64 -1/4 (pow.f64 x 2) 2)) 2) x)
(*.f64 (/.f64 (/.f64 0 0) (pow.f64 (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2)) 2)) (/.f64 (/.f64 0 0) (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))))
(*.f64 (/.f64 (/.f64 0 0) (fma.f64 (pow.f64 (pow.f64 x 2) 3) -1/64 8)) (fma.f64 (*.f64 -1/4 (pow.f64 x 2)) (fma.f64 -1/4 (pow.f64 x 2) -2) 4))
(*.f64 (/.f64 (/.f64 0 0) (-.f64 4 (*.f64 (pow.f64 x 4) 1/16))) (+.f64 2 (*.f64 1/4 (pow.f64 x 2))))
(pow.f64 (*.f64 (fma.f64 -1/4 (pow.f64 x 2) 2) (/.f64 0 0)) -1)
(pow.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)) 1)
(pow.f64 (/.f64 (/.f64 0 0) (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)) 3) 1/3)
(pow.f64 (/.f64 (/.f64 0 0) (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))) 2)
(neg.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)))
(sqrt.f64 (/.f64 (/.f64 0 0) (pow.f64 (fma.f64 -1/4 (pow.f64 x 2) 2) 2)))
(log.f64 (exp.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)))))
(log.f64 (/.f64 1 (exp.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)))))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2))))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)) 3))
(cbrt.f64 (/.f64 (/.f64 0 0) (pow.f64 (fma.f64 -1/4 (pow.f64 x 2) 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2))))
(exp.f64 (log.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 -1/4 (pow.f64 x 2) 2) (/.f64 0 0))) -1))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2))) 1))
(fma.f64 x (/.f64 1 (fma.f64 -1/4 (pow.f64 x 2) 2)) (*.f64 x (/.f64 1 (fma.f64 -1/4 (pow.f64 x 2) 2))))
(fma.f64 (/.f64 1 (fma.f64 -1/4 (pow.f64 x 2) 2)) x (*.f64 (/.f64 1 (fma.f64 -1/4 (pow.f64 x 2) 2)) x))
(+.f64 0 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (pow.f64 x 2))) (cbrt.f64 (pow.f64 (exp.f64 -1/4) (pow.f64 x 2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (pow.f64 x 2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/4) (pow.f64 x 2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/4) (pow.f64 x 2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/4 (pow.f64 x 2)))) 1)
(pow.f64 (*.f64 -1/4 (pow.f64 x 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 -1/4 (pow.f64 x 2))) 3)
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 2) 3) -1/64) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 -1/4)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/16))
(log.f64 (pow.f64 (exp.f64 -1/4) (pow.f64 x 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/4 (pow.f64 x 2)))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 2) 3) -1/64))
(expm1.f64 (log1p.f64 (*.f64 -1/4 (pow.f64 x 2))))
(log1p.f64 (expm1.f64 (*.f64 -1/4 (pow.f64 x 2))))
(exp.f64 (fma.f64 2 (log.f64 x) (log.f64 -1/4)))
(exp.f64 (*.f64 (fma.f64 2 (log.f64 x) (log.f64 -1/4)) 1))
(+.f64 0 (*.f64 (fma.f64 -1/4 (pow.f64 x 2) 2) (/.f64 0 0)))
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(-.f64 0 (*.f64 (fma.f64 -1/4 (pow.f64 x 2) 2) (/.f64 0 0)))
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(*.f64 (pow.f64 (*.f64 (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2)) (/.f64 0 0)) 2) (*.f64 (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2)) (/.f64 0 0)))
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(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2)) 2) (*.f64 (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2)) (/.f64 0 0)))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2)) (/.f64 0 0)) (*.f64 (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2)) (/.f64 0 0)))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2)) (/.f64 0 0)) (neg.f64 (*.f64 (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2)) (/.f64 0 0))))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2)) (/.f64 0 0)) (/.f64 (*.f64 (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2)) (/.f64 0 0)) 1))
(*.f64 (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2)) (*.f64 (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2)) (/.f64 0 0)))
(*.f64 (neg.f64 (fma.f64 -1/4 (pow.f64 x 2) 2)) (/.f64 0 0))
(*.f64 1/2 (/.f64 (fma.f64 -1/4 (pow.f64 x 2) 2) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2)) 2) 1) (*.f64 (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2)) (/.f64 0 0)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2)) 2) 2) (/.f64 (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2)) 2) (/.f64 0 0)) (*.f64 (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2)) (/.f64 0 0)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2)) 1) (*.f64 (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2)) (/.f64 0 0)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2)) 2) (/.f64 (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2)) x))
(*.f64 (neg.f64 (pow.f64 (*.f64 (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2)) (/.f64 0 0)) 2)) (*.f64 (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2)) (/.f64 0 0)))
(*.f64 (neg.f64 (*.f64 (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2)) (/.f64 0 0))) (*.f64 (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2)) (/.f64 0 0)))
(*.f64 (/.f64 (fma.f64 -1/4 (pow.f64 x 2) 2) (*.f64 2 (pow.f64 x 3))) (pow.f64 x 2))
(*.f64 (/.f64 (fma.f64 -1/4 (pow.f64 x 2) 2) 0) 0)
(pow.f64 (*.f64 (fma.f64 -1/4 (pow.f64 x 2) 2) (/.f64 0 0)) 1)
(pow.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)) -1)
(pow.f64 (*.f64 (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2)) (/.f64 0 0)) 3)
(pow.f64 (pow.f64 (*.f64 (fma.f64 -1/4 (pow.f64 x 2) 2) (/.f64 0 0)) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2)) (/.f64 0 0)) 2)
(neg.f64 (*.f64 (fma.f64 -1/4 (pow.f64 x 2) 2) (/.f64 0 0)))
(sqrt.f64 (*.f64 (pow.f64 (fma.f64 -1/4 (pow.f64 x 2) 2) 2) (/.f64 0 0)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 -1/4 (pow.f64 x 2) 2)) (/.f64 0 0)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 -1/4 (pow.f64 x 2) 2) (/.f64 0 0)))))
(log.f64 (/.f64 1 (pow.f64 (exp.f64 (fma.f64 -1/4 (pow.f64 x 2) 2)) (/.f64 0 0))))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 -1/4 (pow.f64 x 2) 2) (/.f64 0 0))))))
(log.f64 (/.f64 1 (/.f64 1 (pow.f64 (exp.f64 (fma.f64 -1/4 (pow.f64 x 2) 2)) (/.f64 0 0)))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 -1/4 (pow.f64 x 2) 2) (/.f64 0 0)) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 -1/4 (pow.f64 x 2) 2) 3) (/.f64 0 0)))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 -1/4 (pow.f64 x 2) 2) (/.f64 0 0))))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 -1/4 (pow.f64 x 2) 2) (/.f64 0 0))))
(exp.f64 (log.f64 (*.f64 (fma.f64 -1/4 (pow.f64 x 2) 2) (/.f64 0 0))))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 -1/4 (pow.f64 x 2) 2) (/.f64 0 0))) 1))
(+.f64 0 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (pow.f64 x 2))) (cbrt.f64 (pow.f64 (exp.f64 -1/4) (pow.f64 x 2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (pow.f64 x 2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/4) (pow.f64 x 2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/4) (pow.f64 x 2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/4 (pow.f64 x 2)))) 1)
(pow.f64 (*.f64 -1/4 (pow.f64 x 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 -1/4 (pow.f64 x 2))) 3)
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 2) 3) -1/64) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 -1/4)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/16))
(log.f64 (pow.f64 (exp.f64 -1/4) (pow.f64 x 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/4 (pow.f64 x 2)))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 2) 3) -1/64))
(expm1.f64 (log1p.f64 (*.f64 -1/4 (pow.f64 x 2))))
(log1p.f64 (expm1.f64 (*.f64 -1/4 (pow.f64 x 2))))
(exp.f64 (fma.f64 2 (log.f64 x) (log.f64 -1/4)))
(exp.f64 (*.f64 (fma.f64 2 (log.f64 x) (log.f64 -1/4)) 1))
(+.f64 0 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)))
(+.f64 (*.f64 (/.f64 1 (fma.f64 -1/4 (pow.f64 x 2) 2)) x) (*.f64 (/.f64 1 (fma.f64 -1/4 (pow.f64 x 2) 2)) x))
(+.f64 (*.f64 x (/.f64 1 (fma.f64 -1/4 (pow.f64 x 2) 2))) (*.f64 x (/.f64 1 (fma.f64 -1/4 (pow.f64 x 2) 2))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)))) (cbrt.f64 (exp.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)))) 1)
(*.f64 1 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)))
(*.f64 2 (/.f64 x (fma.f64 -1/4 (pow.f64 x 2) 2)))
(*.f64 2 (*.f64 x (/.f64 1 (fma.f64 -1/4 (pow.f64 x 2) 2))))
(*.f64 (/.f64 0 0) (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)))
(*.f64 (/.f64 0 0) (/.f64 1 (fma.f64 -1/4 (pow.f64 x 2) 2)))
(*.f64 (/.f64 0 0) (/.f64 1 (neg.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))))
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(*.f64 -1 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)))
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(*.f64 (pow.f64 (/.f64 (/.f64 0 0) (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))) 2) (/.f64 (/.f64 0 0) (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))))
(*.f64 (/.f64 (/.f64 0 0) (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))) (/.f64 (/.f64 0 0) (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))))
(*.f64 (/.f64 1 (fma.f64 -1/4 (pow.f64 x 2) 2)) (/.f64 0 0))
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(*.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2)) (/.f64 0 0)) -1) (pow.f64 (*.f64 (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2)) (/.f64 0 0)) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2)) 2)) (/.f64 (/.f64 0 0) (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))) (/.f64 (/.f64 0 0) (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))))
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2)) 2)) (/.f64 x (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))))
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(*.f64 (*.f64 (/.f64 1 (fma.f64 -1/4 (pow.f64 x 2) 2)) 2) x)
(*.f64 (/.f64 (/.f64 0 0) (pow.f64 (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2)) 2)) (/.f64 (/.f64 0 0) (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))))
(*.f64 (/.f64 (/.f64 0 0) (fma.f64 (pow.f64 (pow.f64 x 2) 3) -1/64 8)) (fma.f64 (*.f64 -1/4 (pow.f64 x 2)) (fma.f64 -1/4 (pow.f64 x 2) -2) 4))
(*.f64 (/.f64 (/.f64 0 0) (-.f64 4 (*.f64 (pow.f64 x 4) 1/16))) (+.f64 2 (*.f64 1/4 (pow.f64 x 2))))
(pow.f64 (*.f64 (fma.f64 -1/4 (pow.f64 x 2) 2) (/.f64 0 0)) -1)
(pow.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)) 1)
(pow.f64 (/.f64 (/.f64 0 0) (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)) 3) 1/3)
(pow.f64 (/.f64 (/.f64 0 0) (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))) 2)
(neg.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)))
(sqrt.f64 (/.f64 (/.f64 0 0) (pow.f64 (fma.f64 -1/4 (pow.f64 x 2) 2) 2)))
(log.f64 (exp.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)))))
(log.f64 (/.f64 1 (exp.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)))))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2))))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)) 3))
(cbrt.f64 (/.f64 (/.f64 0 0) (pow.f64 (fma.f64 -1/4 (pow.f64 x 2) 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2))))
(exp.f64 (log.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 -1/4 (pow.f64 x 2) 2) (/.f64 0 0))) -1))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2))) 1))
(fma.f64 x (/.f64 1 (fma.f64 -1/4 (pow.f64 x 2) 2)) (*.f64 x (/.f64 1 (fma.f64 -1/4 (pow.f64 x 2) 2))))
(fma.f64 (/.f64 1 (fma.f64 -1/4 (pow.f64 x 2) 2)) x (*.f64 (/.f64 1 (fma.f64 -1/4 (pow.f64 x 2) 2)) x))

simplify54.0ms (0.8%)

Algorithm
egg-herbie
Rules
100×*-commutative
64×sqr-pow
60×associate-*r/
56×associate-*l/
44×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03024495
18884495
Stop Event
unsound
Counts
223 → 167
Calls
Call 1
Inputs
x
(+.f64 x (*.f64 1/8 (pow.f64 x 3)))
(+.f64 x (+.f64 (*.f64 1/64 (pow.f64 x 5)) (*.f64 1/8 (pow.f64 x 3))))
(+.f64 x (+.f64 (*.f64 1/512 (pow.f64 x 7)) (+.f64 (*.f64 1/64 (pow.f64 x 5)) (*.f64 1/8 (pow.f64 x 3)))))
(/.f64 -8 x)
(neg.f64 (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 64 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 512 (/.f64 1 (pow.f64 x 5))) (*.f64 8 (/.f64 1 x)))))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 512 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 4096 (/.f64 1 (pow.f64 x 7))) (*.f64 8 (/.f64 1 x))))))
(/.f64 -8 x)
(neg.f64 (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 64 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 512 (/.f64 1 (pow.f64 x 5))) (*.f64 8 (/.f64 1 x)))))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 512 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 4096 (/.f64 1 (pow.f64 x 7))) (*.f64 8 (/.f64 1 x))))))
(/.f64 1 x)
(+.f64 (*.f64 -1/8 x) (/.f64 1 x))
(+.f64 (*.f64 -1/8 x) (/.f64 1 x))
(+.f64 (*.f64 -1/8 x) (/.f64 1 x))
(*.f64 -1/8 x)
(+.f64 (*.f64 -1/8 x) (/.f64 1 x))
(+.f64 (*.f64 -1/8 x) (/.f64 1 x))
(+.f64 (*.f64 -1/8 x) (/.f64 1 x))
(*.f64 -1/8 x)
(+.f64 (*.f64 -1/8 x) (/.f64 1 x))
(+.f64 (*.f64 -1/8 x) (/.f64 1 x))
(+.f64 (*.f64 -1/8 x) (/.f64 1 x))
x
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(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)))) 1)
(*.f64 1 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)))
(*.f64 2 (/.f64 x (fma.f64 -1/4 (pow.f64 x 2) 2)))
(*.f64 2 (*.f64 x (/.f64 1 (fma.f64 -1/4 (pow.f64 x 2) 2))))
(*.f64 (/.f64 0 0) (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)))
(*.f64 (/.f64 0 0) (/.f64 1 (fma.f64 -1/4 (pow.f64 x 2) 2)))
(*.f64 (/.f64 0 0) (/.f64 1 (neg.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))))
(*.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)) 1)
(*.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)) (/.f64 0 0))
(*.f64 -1 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)))
(*.f64 (/.f64 (/.f64 0 0) (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))) (pow.f64 (/.f64 (/.f64 0 0) (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))) 2))
(*.f64 (pow.f64 (/.f64 (/.f64 0 0) (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))) 2) (/.f64 (/.f64 0 0) (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))))
(*.f64 (/.f64 (/.f64 0 0) (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))) (/.f64 (/.f64 0 0) (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))))
(*.f64 (/.f64 1 (fma.f64 -1/4 (pow.f64 x 2) 2)) (/.f64 0 0))
(*.f64 (pow.f64 (pow.f64 (*.f64 (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2)) (/.f64 0 0)) 2) -1) (pow.f64 (*.f64 (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2)) (/.f64 0 0)) -1))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2)) (/.f64 0 0)) -1) (pow.f64 (*.f64 (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2)) (/.f64 0 0)) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2)) 2)) (/.f64 (/.f64 0 0) (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))) (/.f64 (/.f64 0 0) (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))))
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2)) 2)) (/.f64 x (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))))
(*.f64 (/.f64 2 (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))) (/.f64 x (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))))
(*.f64 (/.f64 (/.f64 0 0) 1) (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)))
(*.f64 (/.f64 1 (neg.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))) (/.f64 0 0))
(*.f64 (*.f64 (/.f64 1 (fma.f64 -1/4 (pow.f64 x 2) 2)) 1) (/.f64 0 0))
(*.f64 (*.f64 (/.f64 1 (fma.f64 -1/4 (pow.f64 x 2) 2)) 2) x)
(*.f64 (/.f64 (/.f64 0 0) (pow.f64 (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2)) 2)) (/.f64 (/.f64 0 0) (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))))
(*.f64 (/.f64 (/.f64 0 0) (fma.f64 (pow.f64 (pow.f64 x 2) 3) -1/64 8)) (fma.f64 (*.f64 -1/4 (pow.f64 x 2)) (fma.f64 -1/4 (pow.f64 x 2) -2) 4))
(*.f64 (/.f64 (/.f64 0 0) (-.f64 4 (*.f64 (pow.f64 x 4) 1/16))) (+.f64 2 (*.f64 1/4 (pow.f64 x 2))))
(pow.f64 (*.f64 (fma.f64 -1/4 (pow.f64 x 2) 2) (/.f64 0 0)) -1)
(pow.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)) 1)
(pow.f64 (/.f64 (/.f64 0 0) (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)) 3) 1/3)
(pow.f64 (/.f64 (/.f64 0 0) (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))) 2)
(neg.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)))
(sqrt.f64 (/.f64 (/.f64 0 0) (pow.f64 (fma.f64 -1/4 (pow.f64 x 2) 2) 2)))
(log.f64 (exp.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)))))
(log.f64 (/.f64 1 (exp.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)))))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2))))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)) 3))
(cbrt.f64 (/.f64 (/.f64 0 0) (pow.f64 (fma.f64 -1/4 (pow.f64 x 2) 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2))))
(exp.f64 (log.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 -1/4 (pow.f64 x 2) 2) (/.f64 0 0))) -1))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2))) 1))
(fma.f64 x (/.f64 1 (fma.f64 -1/4 (pow.f64 x 2) 2)) (*.f64 x (/.f64 1 (fma.f64 -1/4 (pow.f64 x 2) 2))))
(fma.f64 (/.f64 1 (fma.f64 -1/4 (pow.f64 x 2) 2)) x (*.f64 (/.f64 1 (fma.f64 -1/4 (pow.f64 x 2) 2)) x))
Outputs
x
(+.f64 x (*.f64 1/8 (pow.f64 x 3)))
(+.f64 x (+.f64 (*.f64 1/64 (pow.f64 x 5)) (*.f64 1/8 (pow.f64 x 3))))
(+.f64 x (fma.f64 1/64 (pow.f64 x 5) (*.f64 1/8 (pow.f64 x 3))))
(+.f64 x (+.f64 (*.f64 1/512 (pow.f64 x 7)) (+.f64 (*.f64 1/64 (pow.f64 x 5)) (*.f64 1/8 (pow.f64 x 3)))))
(+.f64 x (fma.f64 1/512 (pow.f64 x 7) (fma.f64 1/64 (pow.f64 x 5) (*.f64 1/8 (pow.f64 x 3)))))
(/.f64 -8 x)
(neg.f64 (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 64 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (/.f64 8 x) (/.f64 64 (pow.f64 x 3))))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 512 (/.f64 1 (pow.f64 x 5))) (*.f64 8 (/.f64 1 x)))))
(neg.f64 (+.f64 (/.f64 64 (pow.f64 x 3)) (+.f64 (/.f64 8 x) (/.f64 512 (pow.f64 x 5)))))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 512 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 4096 (/.f64 1 (pow.f64 x 7))) (*.f64 8 (/.f64 1 x))))))
(neg.f64 (+.f64 (/.f64 64 (pow.f64 x 3)) (+.f64 (/.f64 512 (pow.f64 x 5)) (+.f64 (/.f64 8 x) (/.f64 4096 (pow.f64 x 7))))))
(/.f64 -8 x)
(neg.f64 (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 64 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (/.f64 8 x) (/.f64 64 (pow.f64 x 3))))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 512 (/.f64 1 (pow.f64 x 5))) (*.f64 8 (/.f64 1 x)))))
(neg.f64 (+.f64 (/.f64 64 (pow.f64 x 3)) (+.f64 (/.f64 8 x) (/.f64 512 (pow.f64 x 5)))))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 512 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 4096 (/.f64 1 (pow.f64 x 7))) (*.f64 8 (/.f64 1 x))))))
(neg.f64 (+.f64 (/.f64 64 (pow.f64 x 3)) (+.f64 (/.f64 512 (pow.f64 x 5)) (+.f64 (/.f64 8 x) (/.f64 4096 (pow.f64 x 7))))))
(/.f64 1 x)
(/.f64 -1 x)
(+.f64 (*.f64 -1/8 x) (/.f64 1 x))
(fma.f64 -1/8 x (/.f64 -1 x))
(+.f64 (*.f64 -1/8 x) (/.f64 1 x))
(fma.f64 -1/8 x (/.f64 -1 x))
(+.f64 (*.f64 -1/8 x) (/.f64 1 x))
(fma.f64 -1/8 x (/.f64 -1 x))
(*.f64 -1/8 x)
(*.f64 x -1/8)
(+.f64 (*.f64 -1/8 x) (/.f64 1 x))
(fma.f64 -1/8 x (/.f64 -1 x))
(+.f64 (*.f64 -1/8 x) (/.f64 1 x))
(fma.f64 -1/8 x (/.f64 -1 x))
(+.f64 (*.f64 -1/8 x) (/.f64 1 x))
(fma.f64 -1/8 x (/.f64 -1 x))
(*.f64 -1/8 x)
(*.f64 x -1/8)
(+.f64 (*.f64 -1/8 x) (/.f64 1 x))
(fma.f64 -1/8 x (/.f64 -1 x))
(+.f64 (*.f64 -1/8 x) (/.f64 1 x))
(fma.f64 -1/8 x (/.f64 -1 x))
(+.f64 (*.f64 -1/8 x) (/.f64 1 x))
(fma.f64 -1/8 x (/.f64 -1 x))
x
(+.f64 x (*.f64 1/8 (pow.f64 x 3)))
(+.f64 x (+.f64 (*.f64 1/64 (pow.f64 x 5)) (*.f64 1/8 (pow.f64 x 3))))
(+.f64 x (fma.f64 1/64 (pow.f64 x 5) (*.f64 1/8 (pow.f64 x 3))))
(+.f64 x (+.f64 (*.f64 1/512 (pow.f64 x 7)) (+.f64 (*.f64 1/64 (pow.f64 x 5)) (*.f64 1/8 (pow.f64 x 3)))))
(+.f64 x (fma.f64 1/512 (pow.f64 x 7) (fma.f64 1/64 (pow.f64 x 5) (*.f64 1/8 (pow.f64 x 3)))))
(/.f64 -8 x)
(neg.f64 (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 64 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (/.f64 8 x) (/.f64 64 (pow.f64 x 3))))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 512 (/.f64 1 (pow.f64 x 5))) (*.f64 8 (/.f64 1 x)))))
(neg.f64 (+.f64 (/.f64 64 (pow.f64 x 3)) (+.f64 (/.f64 8 x) (/.f64 512 (pow.f64 x 5)))))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 512 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 4096 (/.f64 1 (pow.f64 x 7))) (*.f64 8 (/.f64 1 x))))))
(neg.f64 (+.f64 (/.f64 64 (pow.f64 x 3)) (+.f64 (/.f64 512 (pow.f64 x 5)) (+.f64 (/.f64 8 x) (/.f64 4096 (pow.f64 x 7))))))
(/.f64 -8 x)
(neg.f64 (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 64 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (/.f64 8 x) (/.f64 64 (pow.f64 x 3))))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 512 (/.f64 1 (pow.f64 x 5))) (*.f64 8 (/.f64 1 x)))))
(neg.f64 (+.f64 (/.f64 64 (pow.f64 x 3)) (+.f64 (/.f64 8 x) (/.f64 512 (pow.f64 x 5)))))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 512 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 4096 (/.f64 1 (pow.f64 x 7))) (*.f64 8 (/.f64 1 x))))))
(neg.f64 (+.f64 (/.f64 64 (pow.f64 x 3)) (+.f64 (/.f64 512 (pow.f64 x 5)) (+.f64 (/.f64 8 x) (/.f64 4096 (pow.f64 x 7))))))
(+.f64 0 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)))
-1
(+.f64 (*.f64 (/.f64 1 (fma.f64 -1/4 (pow.f64 x 2) 2)) x) (*.f64 (/.f64 1 (fma.f64 -1/4 (pow.f64 x 2) 2)) x))
(*.f64 x -1)
(+.f64 (*.f64 x (/.f64 1 (fma.f64 -1/4 (pow.f64 x 2) 2))) (*.f64 x (/.f64 1 (fma.f64 -1/4 (pow.f64 x 2) 2))))
(*.f64 x -1)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)))) (cbrt.f64 (exp.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2))))))
-1
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2))))))
(*.f64 -2 (log.f64 (sqrt.f64 -1)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)))) 1)
-1
(*.f64 1 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)))
-1
(*.f64 2 (/.f64 x (fma.f64 -1/4 (pow.f64 x 2) 2)))
(*.f64 -2 (/.f64 x (fma.f64 -1/4 (pow.f64 x -2) -2)))
(*.f64 2 (*.f64 x (/.f64 1 (fma.f64 -1/4 (pow.f64 x 2) 2))))
(*.f64 x -1)
(*.f64 (/.f64 0 0) (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)))
-1
(*.f64 (/.f64 0 0) (/.f64 1 (fma.f64 -1/4 (pow.f64 x 2) 2)))
-1
(*.f64 (/.f64 0 0) (/.f64 1 (neg.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))))
-1
(*.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)) 1)
-1
(*.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)) (/.f64 0 0))
-1
(*.f64 -1 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)))
-1
(*.f64 (/.f64 (/.f64 0 0) (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))) (pow.f64 (/.f64 (/.f64 0 0) (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))) 2))
(/.f64 -1 (cbrt.f64 (fma.f64 -1/4 (pow.f64 x -2) -2)))
(*.f64 (pow.f64 (/.f64 (/.f64 0 0) (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))) 2) (/.f64 (/.f64 0 0) (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))))
(/.f64 -1 (cbrt.f64 (fma.f64 -1/4 (pow.f64 x -2) -2)))
(*.f64 (/.f64 (/.f64 0 0) (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))) (/.f64 (/.f64 0 0) (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))))
(/.f64 -1 (sqrt.f64 (fma.f64 -1/4 (pow.f64 x -2) -2)))
(*.f64 (/.f64 1 (fma.f64 -1/4 (pow.f64 x 2) 2)) (/.f64 0 0))
-1
(*.f64 (pow.f64 (pow.f64 (*.f64 (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2)) (/.f64 0 0)) 2) -1) (pow.f64 (*.f64 (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2)) (/.f64 0 0)) -1))
(/.f64 -1 (cbrt.f64 (fma.f64 -1/4 (pow.f64 x -2) -2)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2)) (/.f64 0 0)) -1) (pow.f64 (*.f64 (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2)) (/.f64 0 0)) -1))
(/.f64 -1 (sqrt.f64 (fma.f64 -1/4 (pow.f64 x -2) -2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2)) 2)) (/.f64 (/.f64 0 0) (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))))
(/.f64 (neg.f64 (/.f64 -1 (cbrt.f64 (fma.f64 -1/4 (pow.f64 x -2) -2)))) (pow.f64 (cbrt.f64 (fma.f64 -1/4 (pow.f64 x -2) -2)) -2))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))) (/.f64 (/.f64 0 0) (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))))
(/.f64 -1 (sqrt.f64 (fma.f64 -1/4 (pow.f64 x -2) -2)))
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2)) 2)) (/.f64 x (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))))
(*.f64 (/.f64 -2 (pow.f64 (cbrt.f64 (fma.f64 -1/4 (pow.f64 x -2) -2)) -2)) (/.f64 x (cbrt.f64 (fma.f64 -1/4 (pow.f64 x -2) -2))))
(*.f64 (/.f64 2 (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))) (/.f64 x (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))))
(/.f64 (*.f64 -2 (/.f64 x (sqrt.f64 (fma.f64 -1/4 (pow.f64 x -2) -2)))) (sqrt.f64 (fma.f64 -1/4 (pow.f64 x -2) -2)))
(*.f64 (/.f64 (/.f64 0 0) 1) (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)))
-1
(*.f64 (/.f64 1 (neg.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))) (/.f64 0 0))
-1
(*.f64 (*.f64 (/.f64 1 (fma.f64 -1/4 (pow.f64 x 2) 2)) 1) (/.f64 0 0))
-1
(*.f64 (*.f64 (/.f64 1 (fma.f64 -1/4 (pow.f64 x 2) 2)) 2) x)
(*.f64 x -2)
(*.f64 (/.f64 (/.f64 0 0) (pow.f64 (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2)) 2)) (/.f64 (/.f64 0 0) (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))))
(/.f64 (neg.f64 (/.f64 -1 (cbrt.f64 (fma.f64 -1/4 (pow.f64 x -2) -2)))) (pow.f64 (cbrt.f64 (fma.f64 -1/4 (pow.f64 x -2) -2)) -2))
(*.f64 (/.f64 (/.f64 0 0) (fma.f64 (pow.f64 (pow.f64 x 2) 3) -1/64 8)) (fma.f64 (*.f64 -1/4 (pow.f64 x 2)) (fma.f64 -1/4 (pow.f64 x 2) -2) 4))
(/.f64 (*.f64 -1 (fma.f64 (*.f64 -1/4 (pow.f64 x -2)) (fma.f64 -1/4 (pow.f64 x -2) -2) 4)) (fma.f64 (pow.f64 (pow.f64 x -2) 3) -1/64 8))
(*.f64 (/.f64 (/.f64 0 0) (-.f64 4 (*.f64 (pow.f64 x 4) 1/16))) (+.f64 2 (*.f64 1/4 (pow.f64 x 2))))
(*.f64 (/.f64 -1 (-.f64 4 (*.f64 1/16 (pow.f64 x 4)))) (+.f64 -2 (*.f64 (pow.f64 x -2) 1/4)))
(pow.f64 (*.f64 (fma.f64 -1/4 (pow.f64 x 2) 2) (/.f64 0 0)) -1)
-1
(pow.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)) 1)
-1
(pow.f64 (/.f64 (/.f64 0 0) (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))) 3)
(/.f64 -1 (cbrt.f64 (fma.f64 -1/4 (pow.f64 x -2) -2)))
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(*.f64 2 (/.f64 x (fma.f64 -1/4 (pow.f64 x 2) 2)))
(*.f64 -2 (/.f64 x (fma.f64 -1/4 (pow.f64 x -2) -2)))
(*.f64 2 (*.f64 x (/.f64 1 (fma.f64 -1/4 (pow.f64 x 2) 2))))
(*.f64 x -1)
(*.f64 (/.f64 0 0) (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)))
-1
(*.f64 (/.f64 0 0) (/.f64 1 (fma.f64 -1/4 (pow.f64 x 2) 2)))
-1
(*.f64 (/.f64 0 0) (/.f64 1 (neg.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))))
-1
(*.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)) 1)
-1
(*.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)) (/.f64 0 0))
-1
(*.f64 -1 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)))
-1
(*.f64 (/.f64 (/.f64 0 0) (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))) (pow.f64 (/.f64 (/.f64 0 0) (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))) 2))
(/.f64 -1 (cbrt.f64 (fma.f64 -1/4 (pow.f64 x -2) -2)))
(*.f64 (pow.f64 (/.f64 (/.f64 0 0) (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))) 2) (/.f64 (/.f64 0 0) (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))))
(/.f64 -1 (cbrt.f64 (fma.f64 -1/4 (pow.f64 x -2) -2)))
(*.f64 (/.f64 (/.f64 0 0) (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))) (/.f64 (/.f64 0 0) (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))))
(/.f64 -1 (sqrt.f64 (fma.f64 -1/4 (pow.f64 x -2) -2)))
(*.f64 (/.f64 1 (fma.f64 -1/4 (pow.f64 x 2) 2)) (/.f64 0 0))
-1
(*.f64 (pow.f64 (pow.f64 (*.f64 (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2)) (/.f64 0 0)) 2) -1) (pow.f64 (*.f64 (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2)) (/.f64 0 0)) -1))
(/.f64 -1 (cbrt.f64 (fma.f64 -1/4 (pow.f64 x -2) -2)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2)) (/.f64 0 0)) -1) (pow.f64 (*.f64 (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2)) (/.f64 0 0)) -1))
(/.f64 -1 (sqrt.f64 (fma.f64 -1/4 (pow.f64 x -2) -2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2)) 2)) (/.f64 (/.f64 0 0) (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))))
(/.f64 (neg.f64 (/.f64 -1 (cbrt.f64 (fma.f64 -1/4 (pow.f64 x -2) -2)))) (pow.f64 (cbrt.f64 (fma.f64 -1/4 (pow.f64 x -2) -2)) -2))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))) (/.f64 (/.f64 0 0) (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))))
(/.f64 -1 (sqrt.f64 (fma.f64 -1/4 (pow.f64 x -2) -2)))
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2)) 2)) (/.f64 x (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))))
(*.f64 (/.f64 -2 (pow.f64 (cbrt.f64 (fma.f64 -1/4 (pow.f64 x -2) -2)) -2)) (/.f64 x (cbrt.f64 (fma.f64 -1/4 (pow.f64 x -2) -2))))
(*.f64 (/.f64 2 (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))) (/.f64 x (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))))
(/.f64 (*.f64 -2 (/.f64 x (sqrt.f64 (fma.f64 -1/4 (pow.f64 x -2) -2)))) (sqrt.f64 (fma.f64 -1/4 (pow.f64 x -2) -2)))
(*.f64 (/.f64 (/.f64 0 0) 1) (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)))
-1
(*.f64 (/.f64 1 (neg.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))) (/.f64 0 0))
-1
(*.f64 (*.f64 (/.f64 1 (fma.f64 -1/4 (pow.f64 x 2) 2)) 1) (/.f64 0 0))
-1
(*.f64 (*.f64 (/.f64 1 (fma.f64 -1/4 (pow.f64 x 2) 2)) 2) x)
(*.f64 x -2)
(*.f64 (/.f64 (/.f64 0 0) (pow.f64 (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2)) 2)) (/.f64 (/.f64 0 0) (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))))
(/.f64 (neg.f64 (/.f64 -1 (cbrt.f64 (fma.f64 -1/4 (pow.f64 x -2) -2)))) (pow.f64 (cbrt.f64 (fma.f64 -1/4 (pow.f64 x -2) -2)) -2))
(*.f64 (/.f64 (/.f64 0 0) (fma.f64 (pow.f64 (pow.f64 x 2) 3) -1/64 8)) (fma.f64 (*.f64 -1/4 (pow.f64 x 2)) (fma.f64 -1/4 (pow.f64 x 2) -2) 4))
(/.f64 (*.f64 -1 (fma.f64 (*.f64 -1/4 (pow.f64 x -2)) (fma.f64 -1/4 (pow.f64 x -2) -2) 4)) (fma.f64 (pow.f64 (pow.f64 x -2) 3) -1/64 8))
(*.f64 (/.f64 (/.f64 0 0) (-.f64 4 (*.f64 (pow.f64 x 4) 1/16))) (+.f64 2 (*.f64 1/4 (pow.f64 x 2))))
(*.f64 (/.f64 -1 (-.f64 4 (*.f64 1/16 (pow.f64 x 4)))) (+.f64 -2 (*.f64 (pow.f64 x -2) 1/4)))
(pow.f64 (*.f64 (fma.f64 -1/4 (pow.f64 x 2) 2) (/.f64 0 0)) -1)
-1
(pow.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)) 1)
-1
(pow.f64 (/.f64 (/.f64 0 0) (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))) 3)
(/.f64 -1 (cbrt.f64 (fma.f64 -1/4 (pow.f64 x -2) -2)))
(pow.f64 (pow.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)) 3) 1/3)
-1
(pow.f64 (/.f64 (/.f64 0 0) (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))) 2)
(/.f64 -1 (sqrt.f64 (fma.f64 -1/4 (pow.f64 x -2) -2)))
(neg.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)))
-1
(sqrt.f64 (/.f64 (/.f64 0 0) (pow.f64 (fma.f64 -1/4 (pow.f64 x 2) 2) 2)))
(sqrt.f64 (/.f64 -1 (pow.f64 (fma.f64 -1/4 (pow.f64 x -2) -2) -2)))
(log.f64 (exp.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2))))
-1
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)))))
-1
(log.f64 (/.f64 1 (exp.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)))))
-1
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2))))))
-1
(cbrt.f64 (pow.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)) 3))
-1
(cbrt.f64 (/.f64 (/.f64 0 0) (pow.f64 (fma.f64 -1/4 (pow.f64 x 2) 2) 3)))
-1
(expm1.f64 (log1p.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2))))
-1
(log1p.f64 (expm1.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2))))
-1
(exp.f64 (log.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2))))
-1
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 -1/4 (pow.f64 x 2) 2) (/.f64 0 0))) -1))
-1
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2))) 1))
-1
(fma.f64 x (/.f64 1 (fma.f64 -1/4 (pow.f64 x 2) 2)) (*.f64 x (/.f64 1 (fma.f64 -1/4 (pow.f64 x 2) 2))))
(*.f64 x -1)
(fma.f64 (/.f64 1 (fma.f64 -1/4 (pow.f64 x 2) 2)) x (*.f64 (/.f64 1 (fma.f64 -1/4 (pow.f64 x 2) 2)) x))
(*.f64 x -1)

eval77.0ms (1.1%)

Compiler

Compiled 3133 to 2681 computations (14.4% saved)

prune25.0ms (0.4%)

Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New1911192
Fresh000
Picked202
Done066
Total1937200
Accuracy
100.0%
Counts
200 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
99.7%
(/.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 x x)))
99.2%
(/.f64 1 (+.f64 (*.f64 -1/8 x) (/.f64 1 x)))
9.2%
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
99.6%
(+.f64 x (+.f64 (*.f64 7/128 (pow.f64 x 5)) (*.f64 1/8 (pow.f64 x 3))))
99.4%
(+.f64 x (*.f64 1/8 (pow.f64 x 3)))
98.9%
x
Compiler

Compiled 74 to 56 computations (24.3% saved)

localize39.0ms (0.6%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
100.0%
(+.f64 (*.f64 -1/8 x) (/.f64 1 x))
99.7%
(/.f64 1 (+.f64 (*.f64 -1/8 x) (/.f64 1 x)))
Compiler

Compiled 27 to 20 computations (25.9% saved)

series4.0ms (0.1%)

Counts
2 → 15
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/.f64 1 (+.f64 (*.f64 -1/8 x) (/.f64 1 x)))
1.0ms
x
@0
(/.f64 1 (+.f64 (*.f64 -1/8 x) (/.f64 1 x)))
1.0ms
x
@-inf
(/.f64 1 (+.f64 (*.f64 -1/8 x) (/.f64 1 x)))
1.0ms
x
@0
(+.f64 (*.f64 -1/8 x) (/.f64 1 x))
1.0ms
x
@-inf
(+.f64 (*.f64 -1/8 x) (/.f64 1 x))

rewrite91.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
1666×prod-diff
1294×unpow-prod-down
624×log1p-expm1-u
624×expm1-log1p-u
616×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01148
113448
2180548
Stop Event
node limit
Counts
2 → 135
Calls
Call 1
Inputs
(/.f64 1 (+.f64 (*.f64 -1/8 x) (/.f64 1 x)))
(+.f64 (*.f64 -1/8 x) (/.f64 1 x))
Outputs
(+.f64 0 (/.f64 1 (fma.f64 -1/8 x (/.f64 1 x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 -1/8 x (/.f64 1 x))))) (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 -1/8 x (/.f64 1 x))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 -1/8 x (/.f64 1 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 -1/8 x (/.f64 1 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 -1/8 x (/.f64 1 x)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 -1/8 x (/.f64 1 x))))) 1)
(*.f64 1 (/.f64 1 (fma.f64 -1/8 x (/.f64 1 x))))
(*.f64 (/.f64 1 (fma.f64 -1/8 x (/.f64 1 x))) 1)
(*.f64 (/.f64 1 (fma.f64 -1/8 x (/.f64 1 x))) (log.f64 (exp.f64 1)))
(*.f64 -1 (/.f64 1 (neg.f64 (fma.f64 -1/8 x (/.f64 1 x)))))
(*.f64 -1 (pow.f64 (/.f64 1 (neg.f64 (fma.f64 -1/8 x (/.f64 1 x)))) 1))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/8 x (/.f64 1 x)))) (cbrt.f64 (pow.f64 (fma.f64 -1/8 x (/.f64 1 x)) -2)))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/8 x (/.f64 1 x)))) (pow.f64 (pow.f64 (fma.f64 -1/8 x (/.f64 1 x)) -2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/8 x (/.f64 1 x)) -2)) (/.f64 1 (cbrt.f64 (fma.f64 -1/8 x (/.f64 1 x)))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/8 x (/.f64 1 x)) -2)) (pow.f64 (/.f64 (cbrt.f64 (fma.f64 -1/8 x (/.f64 1 x))) 1) -1))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/8 x (/.f64 1 x)) -2)) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/8 x (/.f64 1 x)) -1/2)) 2))
(*.f64 (pow.f64 (fma.f64 -1/8 x (/.f64 1 x)) -1/2) (pow.f64 (fma.f64 -1/8 x (/.f64 1 x)) -1/2))
(*.f64 (pow.f64 (fma.f64 -1/8 x (/.f64 1 x)) -1/2) (pow.f64 (/.f64 (sqrt.f64 (fma.f64 -1/8 x (/.f64 1 x))) 1) -1))
(*.f64 (/.f64 1 (fma.f64 (pow.f64 x 3) -1/512 (pow.f64 x -3))) (-.f64 (fma.f64 (pow.f64 x 2) 1/64 (pow.f64 x -2)) (/.f64 (*.f64 -1/8 x) x)))
(*.f64 (/.f64 1 (fma.f64 (pow.f64 x 3) -1/512 (pow.f64 x -3))) (pow.f64 (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 2) 1/64 (pow.f64 x -2)) (/.f64 (*.f64 -1/8 x) x))) -1))
(*.f64 (/.f64 1 (-.f64 (*.f64 (pow.f64 x 2) 1/64) (pow.f64 x -2))) (-.f64 (*.f64 -1/8 x) (/.f64 1 x)))
(*.f64 (/.f64 1 (-.f64 (*.f64 (pow.f64 x 2) 1/64) (pow.f64 x -2))) (pow.f64 (/.f64 1 (-.f64 (*.f64 -1/8 x) (/.f64 1 x))) -1))
(*.f64 (pow.f64 1 1/3) (/.f64 1 (fma.f64 -1/8 x (/.f64 1 x))))
(*.f64 (pow.f64 (/.f64 1 (fma.f64 (pow.f64 x 3) -1/512 (pow.f64 x -3))) 1) (-.f64 (fma.f64 (pow.f64 x 2) 1/64 (pow.f64 x -2)) (/.f64 (*.f64 -1/8 x) x)))
(*.f64 (pow.f64 (/.f64 1 (-.f64 (*.f64 (pow.f64 x 2) 1/64) (pow.f64 x -2))) 1) (-.f64 (*.f64 -1/8 x) (/.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/8 x (/.f64 1 x)) -2))) 3) (pow.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/8 x (/.f64 1 x))))) 3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/8 x (/.f64 1 x)) -1/2)) 3) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/8 x (/.f64 1 x)) -1/2)) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/8 x (/.f64 1 x))))) (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/8 x (/.f64 1 x)))))) 3) (pow.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/8 x (/.f64 1 x))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/8 x (/.f64 1 x))))) 3) (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/8 x (/.f64 1 x))))) 3))
(*.f64 (pow.f64 (pow.f64 (fma.f64 -1/8 x (/.f64 1 x)) -2) 1/3) (/.f64 1 (cbrt.f64 (fma.f64 -1/8 x (/.f64 1 x)))))
(*.f64 (pow.f64 (*.f64 (/.f64 1 (fma.f64 -1/8 x (/.f64 1 x))) (pow.f64 (fma.f64 -1/8 x (/.f64 1 x)) -1/2)) 1/3) (pow.f64 (*.f64 (/.f64 1 (fma.f64 -1/8 x (/.f64 1 x))) (pow.f64 (fma.f64 -1/8 x (/.f64 1 x)) -1/2)) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 1 (fma.f64 -1/8 x (/.f64 1 x))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 1 (fma.f64 -1/8 x (/.f64 1 x))) 3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 -1/8 x (/.f64 1 x)) -2) (cbrt.f64 (pow.f64 (fma.f64 -1/8 x (/.f64 1 x)) -2))) 1/3) (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/8 x (/.f64 1 x)))) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 -1/8 x (/.f64 1 x)) -2) (pow.f64 (fma.f64 -1/8 x (/.f64 1 x)) -1/2)) 1/3) (pow.f64 (pow.f64 (fma.f64 -1/8 x (/.f64 1 x)) -1/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/8 x (/.f64 1 x)) -2))) 2) (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/8 x (/.f64 1 x))))) 2))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 -1/8 x (/.f64 1 x)) -1/2)) 2) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 -1/8 x (/.f64 1 x)) -1/2)) 2))
(pow.f64 (fma.f64 -1/8 x (/.f64 1 x)) -1)
(pow.f64 (/.f64 1 (fma.f64 -1/8 x (/.f64 1 x))) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/8 x (/.f64 1 x)))) 3)
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 -1/8 x (/.f64 1 x))) 3) 1/3)
(pow.f64 (pow.f64 (fma.f64 -1/8 x (/.f64 1 x)) -1/2) 2)
(pow.f64 (neg.f64 (neg.f64 (fma.f64 -1/8 x (/.f64 1 x)))) -1)
(neg.f64 (/.f64 -1 (fma.f64 -1/8 x (/.f64 1 x))))
(sqrt.f64 (pow.f64 (fma.f64 -1/8 x (/.f64 1 x)) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 -1/8 x (/.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 -1/8 x (/.f64 1 x))))))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 -1/8 x (/.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 -1/8 x (/.f64 1 x)))))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 -1/8 x (/.f64 1 x)))))
(exp.f64 (neg.f64 (log.f64 (fma.f64 -1/8 x (/.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/8 x (/.f64 1 x))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 -1/8 x (/.f64 1 x)))) 1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (fma.f64 -1/8 x (/.f64 1 x))))) 3))
(exp.f64 (*.f64 (*.f64 3 (neg.f64 (log.f64 (fma.f64 -1/8 x (/.f64 1 x))))) 1/3))
(exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (fma.f64 -1/8 x (/.f64 1 x)))) 2))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/8 x (/.f64 1 x)))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 x 2) 1/64) (-.f64 (*.f64 -1/8 x) (/.f64 1 x))) (/.f64 (pow.f64 x -2) (-.f64 (*.f64 -1/8 x) (/.f64 1 x))))
(*.f64 1 (fma.f64 -1/8 x (/.f64 1 x)))
(*.f64 (fma.f64 -1/8 x (/.f64 1 x)) 1)
(*.f64 (fma.f64 -1/8 x (/.f64 1 x)) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (fma.f64 -1/8 x (/.f64 1 x))) (pow.f64 (cbrt.f64 (fma.f64 -1/8 x (/.f64 1 x))) 2))
(*.f64 (cbrt.f64 (fma.f64 -1/8 x (/.f64 1 x))) (pow.f64 (pow.f64 (fma.f64 -1/8 x (/.f64 1 x)) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/8 x (/.f64 1 x))) 2) (cbrt.f64 (fma.f64 -1/8 x (/.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/8 x (/.f64 1 x))) 2) (/.f64 (cbrt.f64 (fma.f64 -1/8 x (/.f64 1 x))) 1))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/8 x (/.f64 1 x))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -1/8 x (/.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/8 x (/.f64 1 x))) 2) (pow.f64 (/.f64 (cbrt.f64 (fma.f64 -1/8 x (/.f64 1 x))) 1) 1))
(*.f64 (sqrt.f64 (fma.f64 -1/8 x (/.f64 1 x))) (sqrt.f64 (fma.f64 -1/8 x (/.f64 1 x))))
(*.f64 (sqrt.f64 (fma.f64 -1/8 x (/.f64 1 x))) (/.f64 (sqrt.f64 (fma.f64 -1/8 x (/.f64 1 x))) 1))
(*.f64 (sqrt.f64 (fma.f64 -1/8 x (/.f64 1 x))) (pow.f64 (/.f64 (sqrt.f64 (fma.f64 -1/8 x (/.f64 1 x))) 1) 1))
(*.f64 (fma.f64 (pow.f64 x 3) -1/512 (pow.f64 x -3)) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 2) 1/64 (pow.f64 x -2)) (/.f64 (*.f64 -1/8 x) x))))
(*.f64 (fma.f64 (pow.f64 x 3) -1/512 (pow.f64 x -3)) (pow.f64 (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 2) 1/64 (pow.f64 x -2)) (/.f64 (*.f64 -1/8 x) x))) 1))
(*.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/64) (pow.f64 x -2)) (/.f64 1 (-.f64 (*.f64 -1/8 x) (/.f64 1 x))))
(*.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/64) (pow.f64 x -2)) (pow.f64 (/.f64 1 (-.f64 (*.f64 -1/8 x) (/.f64 1 x))) 1))
(*.f64 (pow.f64 1 1/3) (fma.f64 -1/8 x (/.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/8 x (/.f64 1 x))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 -1/8 x (/.f64 1 x)))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -1/8 x (/.f64 1 x)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -1/8 x (/.f64 1 x)))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 -1/8 x (/.f64 1 x)))) (cbrt.f64 (cbrt.f64 (fma.f64 -1/8 x (/.f64 1 x))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 -1/8 x (/.f64 1 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 -1/8 x (/.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 -1/8 x (/.f64 1 x)))) 3))
(*.f64 (pow.f64 (pow.f64 (fma.f64 -1/8 x (/.f64 1 x)) 2) 1/3) (cbrt.f64 (fma.f64 -1/8 x (/.f64 1 x))))
(*.f64 (pow.f64 (*.f64 (fma.f64 -1/8 x (/.f64 1 x)) (sqrt.f64 (fma.f64 -1/8 x (/.f64 1 x)))) 1/3) (pow.f64 (*.f64 (fma.f64 -1/8 x (/.f64 1 x)) (sqrt.f64 (fma.f64 -1/8 x (/.f64 1 x)))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 -1/8 x (/.f64 1 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 -1/8 x (/.f64 1 x)) 3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 -1/8 x (/.f64 1 x)) 2) (pow.f64 (cbrt.f64 (fma.f64 -1/8 x (/.f64 1 x))) 2)) 1/3) (pow.f64 (cbrt.f64 (fma.f64 -1/8 x (/.f64 1 x))) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 -1/8 x (/.f64 1 x)) 2) (sqrt.f64 (fma.f64 -1/8 x (/.f64 1 x)))) 1/3) (pow.f64 (sqrt.f64 (fma.f64 -1/8 x (/.f64 1 x))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/8 x (/.f64 1 x))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 -1/8 x (/.f64 1 x)))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 -1/8 x (/.f64 1 x)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 -1/8 x (/.f64 1 x)))) 2))
(/.f64 1 (/.f64 1 (fma.f64 -1/8 x (/.f64 1 x))))
(/.f64 1 (/.f64 (-.f64 (fma.f64 (pow.f64 x 2) 1/64 (pow.f64 x -2)) (/.f64 (*.f64 -1/8 x) x)) (fma.f64 (pow.f64 x 3) -1/512 (pow.f64 x -3))))
(/.f64 1 (/.f64 (-.f64 (*.f64 -1/8 x) (/.f64 1 x)) (-.f64 (*.f64 (pow.f64 x 2) 1/64) (pow.f64 x -2))))
(/.f64 (fma.f64 -1/8 x (/.f64 1 x)) 1)
(/.f64 (neg.f64 (fma.f64 -1/8 x (/.f64 1 x))) -1)
(/.f64 (fma.f64 (pow.f64 x 3) -1/512 (pow.f64 x -3)) (-.f64 (fma.f64 (pow.f64 x 2) 1/64 (pow.f64 x -2)) (/.f64 (*.f64 -1/8 x) x)))
(/.f64 (fma.f64 (pow.f64 x 3) -1/512 (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (-.f64 (*.f64 (pow.f64 x 2) 1/64) (/.f64 (*.f64 -1/8 x) x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/64) (pow.f64 x -2)) (-.f64 (*.f64 -1/8 x) (/.f64 1 x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 3) -1/512 (pow.f64 x -3))) (neg.f64 (-.f64 (fma.f64 (pow.f64 x 2) 1/64 (pow.f64 x -2)) (/.f64 (*.f64 -1/8 x) x))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/64) (pow.f64 x -2))) (neg.f64 (-.f64 (*.f64 -1/8 x) (/.f64 1 x))))
(/.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x 2) 1/64)) (-.f64 (/.f64 1 x) (*.f64 -1/8 x)))
(pow.f64 (fma.f64 -1/8 x (/.f64 1 x)) 1)
(pow.f64 (/.f64 1 (fma.f64 -1/8 x (/.f64 1 x))) -1)
(pow.f64 (cbrt.f64 (fma.f64 -1/8 x (/.f64 1 x))) 3)
(pow.f64 (pow.f64 (fma.f64 -1/8 x (/.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -1/8 x (/.f64 1 x))) 2)
(pow.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 x 2) 1/64 (pow.f64 x -2)) (/.f64 (*.f64 -1/8 x) x)) (fma.f64 (pow.f64 x 3) -1/512 (pow.f64 x -3))) -1)
(pow.f64 (/.f64 (-.f64 (*.f64 -1/8 x) (/.f64 1 x)) (-.f64 (*.f64 (pow.f64 x 2) 1/64) (pow.f64 x -2))) -1)
(sqrt.f64 (pow.f64 (fma.f64 -1/8 x (/.f64 1 x)) 2))
(log.f64 (exp.f64 (fma.f64 -1/8 x (/.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/8 x (/.f64 1 x)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) -1/8) (+.f64 1 (expm1.f64 (/.f64 1 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -1/8 x))) (exp.f64 (/.f64 1 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -1/8 x))) (+.f64 1 (expm1.f64 (/.f64 1 x)))))
(log.f64 (*.f64 (exp.f64 (/.f64 1 x)) (+.f64 1 (expm1.f64 (*.f64 -1/8 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))) (pow.f64 (exp.f64 x) -1/8)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))) (+.f64 1 (expm1.f64 (*.f64 -1/8 x)))))
(cbrt.f64 (pow.f64 (fma.f64 -1/8 x (/.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/8 x (/.f64 1 x))))
(log1p.f64 (expm1.f64 (fma.f64 -1/8 x (/.f64 1 x))))
(exp.f64 (log.f64 (fma.f64 -1/8 x (/.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/8 x (/.f64 1 x))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 -1/8 x (/.f64 1 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 -1/8 x (/.f64 1 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 -1/8 x (/.f64 1 x)))) 2))
(fma.f64 1 (*.f64 -1/8 x) (/.f64 1 x))
(fma.f64 1 (/.f64 1 x) (*.f64 -1/8 x))
(fma.f64 -1/8 x (/.f64 1 x))
(fma.f64 x -1/8 (/.f64 1 x))
(fma.f64 (*.f64 -1/8 x) 1 (/.f64 1 x))
(fma.f64 (/.f64 1 x) 1 (*.f64 -1/8 x))
(fma.f64 -1 (/.f64 1 (neg.f64 x)) (*.f64 -1/8 x))
(fma.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)) (*.f64 -1/8 x))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (*.f64 -1/8 x))
(fma.f64 (cbrt.f64 (*.f64 -1/8 x)) (cbrt.f64 (*.f64 (pow.f64 x 2) 1/64)) (/.f64 1 x))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 1/64)) (cbrt.f64 (*.f64 -1/8 x)) (/.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) -1/8) (/.f64 1 x))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (*.f64 -1/8 x))
(fma.f64 (sqrt.f64 (*.f64 -1/8 x)) (sqrt.f64 (*.f64 -1/8 x)) (/.f64 1 x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -1/8) (/.f64 1 x))
(fma.f64 (*.f64 -1/8 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (/.f64 1 x))
(fma.f64 (*.f64 -1/8 (sqrt.f64 x)) (sqrt.f64 x) (/.f64 1 x))

simplify94.0ms (1.4%)

Algorithm
egg-herbie
Rules
1568×fma-define
630×exp-prod
562×distribute-lft-neg-in
560×log-prod
518×cube-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03655879
19305467
233875345
Stop Event
node limit
Counts
150 → 196
Calls
Call 1
Inputs
x
(+.f64 x (*.f64 1/8 (pow.f64 x 3)))
(+.f64 x (+.f64 (*.f64 1/64 (pow.f64 x 5)) (*.f64 1/8 (pow.f64 x 3))))
(+.f64 x (+.f64 (*.f64 1/512 (pow.f64 x 7)) (+.f64 (*.f64 1/64 (pow.f64 x 5)) (*.f64 1/8 (pow.f64 x 3)))))
(/.f64 -8 x)
(neg.f64 (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 64 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 512 (/.f64 1 (pow.f64 x 5))) (*.f64 8 (/.f64 1 x)))))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 512 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 4096 (/.f64 1 (pow.f64 x 7))) (*.f64 8 (/.f64 1 x))))))
(/.f64 -8 x)
(neg.f64 (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 64 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 512 (/.f64 1 (pow.f64 x 5))) (*.f64 8 (/.f64 1 x)))))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 512 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 4096 (/.f64 1 (pow.f64 x 7))) (*.f64 8 (/.f64 1 x))))))
(/.f64 1 x)
(*.f64 -1/8 x)
(*.f64 -1/8 x)
(+.f64 0 (/.f64 1 (fma.f64 -1/8 x (/.f64 1 x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 -1/8 x (/.f64 1 x))))) (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 -1/8 x (/.f64 1 x))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 -1/8 x (/.f64 1 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 -1/8 x (/.f64 1 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 -1/8 x (/.f64 1 x)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 -1/8 x (/.f64 1 x))))) 1)
(*.f64 1 (/.f64 1 (fma.f64 -1/8 x (/.f64 1 x))))
(*.f64 (/.f64 1 (fma.f64 -1/8 x (/.f64 1 x))) 1)
(*.f64 (/.f64 1 (fma.f64 -1/8 x (/.f64 1 x))) (log.f64 (exp.f64 1)))
(*.f64 -1 (/.f64 1 (neg.f64 (fma.f64 -1/8 x (/.f64 1 x)))))
(*.f64 -1 (pow.f64 (/.f64 1 (neg.f64 (fma.f64 -1/8 x (/.f64 1 x)))) 1))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/8 x (/.f64 1 x)))) (cbrt.f64 (pow.f64 (fma.f64 -1/8 x (/.f64 1 x)) -2)))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/8 x (/.f64 1 x)))) (pow.f64 (pow.f64 (fma.f64 -1/8 x (/.f64 1 x)) -2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/8 x (/.f64 1 x)) -2)) (/.f64 1 (cbrt.f64 (fma.f64 -1/8 x (/.f64 1 x)))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/8 x (/.f64 1 x)) -2)) (pow.f64 (/.f64 (cbrt.f64 (fma.f64 -1/8 x (/.f64 1 x))) 1) -1))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/8 x (/.f64 1 x)) -2)) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/8 x (/.f64 1 x)) -1/2)) 2))
(*.f64 (pow.f64 (fma.f64 -1/8 x (/.f64 1 x)) -1/2) (pow.f64 (fma.f64 -1/8 x (/.f64 1 x)) -1/2))
(*.f64 (pow.f64 (fma.f64 -1/8 x (/.f64 1 x)) -1/2) (pow.f64 (/.f64 (sqrt.f64 (fma.f64 -1/8 x (/.f64 1 x))) 1) -1))
(*.f64 (/.f64 1 (fma.f64 (pow.f64 x 3) -1/512 (pow.f64 x -3))) (-.f64 (fma.f64 (pow.f64 x 2) 1/64 (pow.f64 x -2)) (/.f64 (*.f64 -1/8 x) x)))
(*.f64 (/.f64 1 (fma.f64 (pow.f64 x 3) -1/512 (pow.f64 x -3))) (pow.f64 (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 2) 1/64 (pow.f64 x -2)) (/.f64 (*.f64 -1/8 x) x))) -1))
(*.f64 (/.f64 1 (-.f64 (*.f64 (pow.f64 x 2) 1/64) (pow.f64 x -2))) (-.f64 (*.f64 -1/8 x) (/.f64 1 x)))
(*.f64 (/.f64 1 (-.f64 (*.f64 (pow.f64 x 2) 1/64) (pow.f64 x -2))) (pow.f64 (/.f64 1 (-.f64 (*.f64 -1/8 x) (/.f64 1 x))) -1))
(*.f64 (pow.f64 1 1/3) (/.f64 1 (fma.f64 -1/8 x (/.f64 1 x))))
(*.f64 (pow.f64 (/.f64 1 (fma.f64 (pow.f64 x 3) -1/512 (pow.f64 x -3))) 1) (-.f64 (fma.f64 (pow.f64 x 2) 1/64 (pow.f64 x -2)) (/.f64 (*.f64 -1/8 x) x)))
(*.f64 (pow.f64 (/.f64 1 (-.f64 (*.f64 (pow.f64 x 2) 1/64) (pow.f64 x -2))) 1) (-.f64 (*.f64 -1/8 x) (/.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/8 x (/.f64 1 x)) -2))) 3) (pow.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/8 x (/.f64 1 x))))) 3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/8 x (/.f64 1 x)) -1/2)) 3) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/8 x (/.f64 1 x)) -1/2)) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/8 x (/.f64 1 x))))) (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/8 x (/.f64 1 x)))))) 3) (pow.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/8 x (/.f64 1 x))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/8 x (/.f64 1 x))))) 3) (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/8 x (/.f64 1 x))))) 3))
(*.f64 (pow.f64 (pow.f64 (fma.f64 -1/8 x (/.f64 1 x)) -2) 1/3) (/.f64 1 (cbrt.f64 (fma.f64 -1/8 x (/.f64 1 x)))))
(*.f64 (pow.f64 (*.f64 (/.f64 1 (fma.f64 -1/8 x (/.f64 1 x))) (pow.f64 (fma.f64 -1/8 x (/.f64 1 x)) -1/2)) 1/3) (pow.f64 (*.f64 (/.f64 1 (fma.f64 -1/8 x (/.f64 1 x))) (pow.f64 (fma.f64 -1/8 x (/.f64 1 x)) -1/2)) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 1 (fma.f64 -1/8 x (/.f64 1 x))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 1 (fma.f64 -1/8 x (/.f64 1 x))) 3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 -1/8 x (/.f64 1 x)) -2) (cbrt.f64 (pow.f64 (fma.f64 -1/8 x (/.f64 1 x)) -2))) 1/3) (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/8 x (/.f64 1 x)))) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 -1/8 x (/.f64 1 x)) -2) (pow.f64 (fma.f64 -1/8 x (/.f64 1 x)) -1/2)) 1/3) (pow.f64 (pow.f64 (fma.f64 -1/8 x (/.f64 1 x)) -1/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/8 x (/.f64 1 x)) -2))) 2) (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/8 x (/.f64 1 x))))) 2))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 -1/8 x (/.f64 1 x)) -1/2)) 2) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 -1/8 x (/.f64 1 x)) -1/2)) 2))
(pow.f64 (fma.f64 -1/8 x (/.f64 1 x)) -1)
(pow.f64 (/.f64 1 (fma.f64 -1/8 x (/.f64 1 x))) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/8 x (/.f64 1 x)))) 3)
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 -1/8 x (/.f64 1 x))) 3) 1/3)
(pow.f64 (pow.f64 (fma.f64 -1/8 x (/.f64 1 x)) -1/2) 2)
(pow.f64 (neg.f64 (neg.f64 (fma.f64 -1/8 x (/.f64 1 x)))) -1)
(neg.f64 (/.f64 -1 (fma.f64 -1/8 x (/.f64 1 x))))
(sqrt.f64 (pow.f64 (fma.f64 -1/8 x (/.f64 1 x)) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 -1/8 x (/.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 -1/8 x (/.f64 1 x))))))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 -1/8 x (/.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 -1/8 x (/.f64 1 x)))))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 -1/8 x (/.f64 1 x)))))
(exp.f64 (neg.f64 (log.f64 (fma.f64 -1/8 x (/.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/8 x (/.f64 1 x))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 -1/8 x (/.f64 1 x)))) 1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (fma.f64 -1/8 x (/.f64 1 x))))) 3))
(exp.f64 (*.f64 (*.f64 3 (neg.f64 (log.f64 (fma.f64 -1/8 x (/.f64 1 x))))) 1/3))
(exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (fma.f64 -1/8 x (/.f64 1 x)))) 2))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/8 x (/.f64 1 x)))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 x 2) 1/64) (-.f64 (*.f64 -1/8 x) (/.f64 1 x))) (/.f64 (pow.f64 x -2) (-.f64 (*.f64 -1/8 x) (/.f64 1 x))))
(*.f64 1 (fma.f64 -1/8 x (/.f64 1 x)))
(*.f64 (fma.f64 -1/8 x (/.f64 1 x)) 1)
(*.f64 (fma.f64 -1/8 x (/.f64 1 x)) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (fma.f64 -1/8 x (/.f64 1 x))) (pow.f64 (cbrt.f64 (fma.f64 -1/8 x (/.f64 1 x))) 2))
(*.f64 (cbrt.f64 (fma.f64 -1/8 x (/.f64 1 x))) (pow.f64 (pow.f64 (fma.f64 -1/8 x (/.f64 1 x)) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/8 x (/.f64 1 x))) 2) (cbrt.f64 (fma.f64 -1/8 x (/.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/8 x (/.f64 1 x))) 2) (/.f64 (cbrt.f64 (fma.f64 -1/8 x (/.f64 1 x))) 1))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/8 x (/.f64 1 x))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -1/8 x (/.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/8 x (/.f64 1 x))) 2) (pow.f64 (/.f64 (cbrt.f64 (fma.f64 -1/8 x (/.f64 1 x))) 1) 1))
(*.f64 (sqrt.f64 (fma.f64 -1/8 x (/.f64 1 x))) (sqrt.f64 (fma.f64 -1/8 x (/.f64 1 x))))
(*.f64 (sqrt.f64 (fma.f64 -1/8 x (/.f64 1 x))) (/.f64 (sqrt.f64 (fma.f64 -1/8 x (/.f64 1 x))) 1))
(*.f64 (sqrt.f64 (fma.f64 -1/8 x (/.f64 1 x))) (pow.f64 (/.f64 (sqrt.f64 (fma.f64 -1/8 x (/.f64 1 x))) 1) 1))
(*.f64 (fma.f64 (pow.f64 x 3) -1/512 (pow.f64 x -3)) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 2) 1/64 (pow.f64 x -2)) (/.f64 (*.f64 -1/8 x) x))))
(*.f64 (fma.f64 (pow.f64 x 3) -1/512 (pow.f64 x -3)) (pow.f64 (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 2) 1/64 (pow.f64 x -2)) (/.f64 (*.f64 -1/8 x) x))) 1))
(*.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/64) (pow.f64 x -2)) (/.f64 1 (-.f64 (*.f64 -1/8 x) (/.f64 1 x))))
(*.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/64) (pow.f64 x -2)) (pow.f64 (/.f64 1 (-.f64 (*.f64 -1/8 x) (/.f64 1 x))) 1))
(*.f64 (pow.f64 1 1/3) (fma.f64 -1/8 x (/.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/8 x (/.f64 1 x))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 -1/8 x (/.f64 1 x)))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -1/8 x (/.f64 1 x)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -1/8 x (/.f64 1 x)))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 -1/8 x (/.f64 1 x)))) (cbrt.f64 (cbrt.f64 (fma.f64 -1/8 x (/.f64 1 x))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 -1/8 x (/.f64 1 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 -1/8 x (/.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 -1/8 x (/.f64 1 x)))) 3))
(*.f64 (pow.f64 (pow.f64 (fma.f64 -1/8 x (/.f64 1 x)) 2) 1/3) (cbrt.f64 (fma.f64 -1/8 x (/.f64 1 x))))
(*.f64 (pow.f64 (*.f64 (fma.f64 -1/8 x (/.f64 1 x)) (sqrt.f64 (fma.f64 -1/8 x (/.f64 1 x)))) 1/3) (pow.f64 (*.f64 (fma.f64 -1/8 x (/.f64 1 x)) (sqrt.f64 (fma.f64 -1/8 x (/.f64 1 x)))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 -1/8 x (/.f64 1 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 -1/8 x (/.f64 1 x)) 3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 -1/8 x (/.f64 1 x)) 2) (pow.f64 (cbrt.f64 (fma.f64 -1/8 x (/.f64 1 x))) 2)) 1/3) (pow.f64 (cbrt.f64 (fma.f64 -1/8 x (/.f64 1 x))) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 -1/8 x (/.f64 1 x)) 2) (sqrt.f64 (fma.f64 -1/8 x (/.f64 1 x)))) 1/3) (pow.f64 (sqrt.f64 (fma.f64 -1/8 x (/.f64 1 x))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/8 x (/.f64 1 x))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 -1/8 x (/.f64 1 x)))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 -1/8 x (/.f64 1 x)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 -1/8 x (/.f64 1 x)))) 2))
(/.f64 1 (/.f64 1 (fma.f64 -1/8 x (/.f64 1 x))))
(/.f64 1 (/.f64 (-.f64 (fma.f64 (pow.f64 x 2) 1/64 (pow.f64 x -2)) (/.f64 (*.f64 -1/8 x) x)) (fma.f64 (pow.f64 x 3) -1/512 (pow.f64 x -3))))
(/.f64 1 (/.f64 (-.f64 (*.f64 -1/8 x) (/.f64 1 x)) (-.f64 (*.f64 (pow.f64 x 2) 1/64) (pow.f64 x -2))))
(/.f64 (fma.f64 -1/8 x (/.f64 1 x)) 1)
(/.f64 (neg.f64 (fma.f64 -1/8 x (/.f64 1 x))) -1)
(/.f64 (fma.f64 (pow.f64 x 3) -1/512 (pow.f64 x -3)) (-.f64 (fma.f64 (pow.f64 x 2) 1/64 (pow.f64 x -2)) (/.f64 (*.f64 -1/8 x) x)))
(/.f64 (fma.f64 (pow.f64 x 3) -1/512 (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (-.f64 (*.f64 (pow.f64 x 2) 1/64) (/.f64 (*.f64 -1/8 x) x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/64) (pow.f64 x -2)) (-.f64 (*.f64 -1/8 x) (/.f64 1 x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 3) -1/512 (pow.f64 x -3))) (neg.f64 (-.f64 (fma.f64 (pow.f64 x 2) 1/64 (pow.f64 x -2)) (/.f64 (*.f64 -1/8 x) x))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/64) (pow.f64 x -2))) (neg.f64 (-.f64 (*.f64 -1/8 x) (/.f64 1 x))))
(/.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x 2) 1/64)) (-.f64 (/.f64 1 x) (*.f64 -1/8 x)))
(pow.f64 (fma.f64 -1/8 x (/.f64 1 x)) 1)
(pow.f64 (/.f64 1 (fma.f64 -1/8 x (/.f64 1 x))) -1)
(pow.f64 (cbrt.f64 (fma.f64 -1/8 x (/.f64 1 x))) 3)
(pow.f64 (pow.f64 (fma.f64 -1/8 x (/.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -1/8 x (/.f64 1 x))) 2)
(pow.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 x 2) 1/64 (pow.f64 x -2)) (/.f64 (*.f64 -1/8 x) x)) (fma.f64 (pow.f64 x 3) -1/512 (pow.f64 x -3))) -1)
(pow.f64 (/.f64 (-.f64 (*.f64 -1/8 x) (/.f64 1 x)) (-.f64 (*.f64 (pow.f64 x 2) 1/64) (pow.f64 x -2))) -1)
(sqrt.f64 (pow.f64 (fma.f64 -1/8 x (/.f64 1 x)) 2))
(log.f64 (exp.f64 (fma.f64 -1/8 x (/.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/8 x (/.f64 1 x)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) -1/8) (+.f64 1 (expm1.f64 (/.f64 1 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -1/8 x))) (exp.f64 (/.f64 1 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -1/8 x))) (+.f64 1 (expm1.f64 (/.f64 1 x)))))
(log.f64 (*.f64 (exp.f64 (/.f64 1 x)) (+.f64 1 (expm1.f64 (*.f64 -1/8 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))) (pow.f64 (exp.f64 x) -1/8)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))) (+.f64 1 (expm1.f64 (*.f64 -1/8 x)))))
(cbrt.f64 (pow.f64 (fma.f64 -1/8 x (/.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/8 x (/.f64 1 x))))
(log1p.f64 (expm1.f64 (fma.f64 -1/8 x (/.f64 1 x))))
(exp.f64 (log.f64 (fma.f64 -1/8 x (/.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/8 x (/.f64 1 x))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 -1/8 x (/.f64 1 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 -1/8 x (/.f64 1 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 -1/8 x (/.f64 1 x)))) 2))
(fma.f64 1 (*.f64 -1/8 x) (/.f64 1 x))
(fma.f64 1 (/.f64 1 x) (*.f64 -1/8 x))
(fma.f64 -1/8 x (/.f64 1 x))
(fma.f64 x -1/8 (/.f64 1 x))
(fma.f64 (*.f64 -1/8 x) 1 (/.f64 1 x))
(fma.f64 (/.f64 1 x) 1 (*.f64 -1/8 x))
(fma.f64 -1 (/.f64 1 (neg.f64 x)) (*.f64 -1/8 x))
(fma.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)) (*.f64 -1/8 x))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (*.f64 -1/8 x))
(fma.f64 (cbrt.f64 (*.f64 -1/8 x)) (cbrt.f64 (*.f64 (pow.f64 x 2) 1/64)) (/.f64 1 x))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 1/64)) (cbrt.f64 (*.f64 -1/8 x)) (/.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) -1/8) (/.f64 1 x))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (*.f64 -1/8 x))
(fma.f64 (sqrt.f64 (*.f64 -1/8 x)) (sqrt.f64 (*.f64 -1/8 x)) (/.f64 1 x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -1/8) (/.f64 1 x))
(fma.f64 (*.f64 -1/8 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (/.f64 1 x))
(fma.f64 (*.f64 -1/8 (sqrt.f64 x)) (sqrt.f64 x) (/.f64 1 x))
Outputs
x
(+.f64 x (*.f64 1/8 (pow.f64 x 3)))
(fma.f64 (pow.f64 x 3) 1/8 x)
(+.f64 x (+.f64 (*.f64 1/64 (pow.f64 x 5)) (*.f64 1/8 (pow.f64 x 3))))
(+.f64 x (fma.f64 1/64 (pow.f64 x 5) (*.f64 1/8 (pow.f64 x 3))))
(+.f64 x (fma.f64 (pow.f64 x 3) 1/8 (*.f64 1/64 (pow.f64 x 5))))
(fma.f64 (pow.f64 x 3) 1/8 (fma.f64 1/64 (pow.f64 x 5) x))
(+.f64 x (+.f64 (*.f64 1/512 (pow.f64 x 7)) (+.f64 (*.f64 1/64 (pow.f64 x 5)) (*.f64 1/8 (pow.f64 x 3)))))
(+.f64 x (fma.f64 1/512 (pow.f64 x 7) (fma.f64 1/64 (pow.f64 x 5) (*.f64 1/8 (pow.f64 x 3)))))
(+.f64 x (fma.f64 1/512 (pow.f64 x 7) (fma.f64 (pow.f64 x 3) 1/8 (*.f64 1/64 (pow.f64 x 5)))))
(fma.f64 1/512 (pow.f64 x 7) (fma.f64 (pow.f64 x 3) 1/8 (fma.f64 1/64 (pow.f64 x 5) x)))
(/.f64 -8 x)
(neg.f64 (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 64 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (/.f64 8 x) (/.f64 64 (pow.f64 x 3))))
(+.f64 (/.f64 -64 (pow.f64 x 3)) (/.f64 -8 x))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 512 (/.f64 1 (pow.f64 x 5))) (*.f64 8 (/.f64 1 x)))))
(neg.f64 (+.f64 (+.f64 (/.f64 64 (pow.f64 x 3)) (/.f64 512 (pow.f64 x 5))) (/.f64 8 x)))
(-.f64 (/.f64 -64 (pow.f64 x 3)) (+.f64 (/.f64 8 x) (/.f64 512 (pow.f64 x 5))))
(+.f64 (/.f64 -64 (pow.f64 x 3)) (-.f64 (/.f64 -8 x) (/.f64 512 (pow.f64 x 5))))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 512 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 4096 (/.f64 1 (pow.f64 x 7))) (*.f64 8 (/.f64 1 x))))))
(neg.f64 (+.f64 (/.f64 64 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 512 (pow.f64 x 5)) (/.f64 4096 (pow.f64 x 7))) (/.f64 8 x))))
(-.f64 (/.f64 -64 (pow.f64 x 3)) (+.f64 (/.f64 8 x) (+.f64 (/.f64 512 (pow.f64 x 5)) (/.f64 4096 (pow.f64 x 7)))))
(/.f64 -8 x)
(neg.f64 (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 64 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (/.f64 8 x) (/.f64 64 (pow.f64 x 3))))
(+.f64 (/.f64 -64 (pow.f64 x 3)) (/.f64 -8 x))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 512 (/.f64 1 (pow.f64 x 5))) (*.f64 8 (/.f64 1 x)))))
(neg.f64 (+.f64 (+.f64 (/.f64 64 (pow.f64 x 3)) (/.f64 512 (pow.f64 x 5))) (/.f64 8 x)))
(-.f64 (/.f64 -64 (pow.f64 x 3)) (+.f64 (/.f64 8 x) (/.f64 512 (pow.f64 x 5))))
(+.f64 (/.f64 -64 (pow.f64 x 3)) (-.f64 (/.f64 -8 x) (/.f64 512 (pow.f64 x 5))))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 512 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 4096 (/.f64 1 (pow.f64 x 7))) (*.f64 8 (/.f64 1 x))))))
(neg.f64 (+.f64 (/.f64 64 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 512 (pow.f64 x 5)) (/.f64 4096 (pow.f64 x 7))) (/.f64 8 x))))
(-.f64 (/.f64 -64 (pow.f64 x 3)) (+.f64 (/.f64 8 x) (+.f64 (/.f64 512 (pow.f64 x 5)) (/.f64 4096 (pow.f64 x 7)))))
(/.f64 1 x)
(*.f64 -1/8 x)
(*.f64 x -1/8)
(*.f64 -1/8 x)
(*.f64 x -1/8)
(+.f64 0 (/.f64 1 (fma.f64 -1/8 x (/.f64 1 x))))
(/.f64 1 (fma.f64 x -1/8 (/.f64 1 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 -1/8 x (/.f64 1 x))))) (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 -1/8 x (/.f64 1 x))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 -1/8 x (/.f64 1 x)))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 x -1/8 (/.f64 1 x))))) (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 x -1/8 (/.f64 1 x))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 x -1/8 (/.f64 1 x)))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 x -1/8 (/.f64 1 x))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 x -1/8 (/.f64 1 x)))))))
(fma.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 x -1/8 (/.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 x -1/8 (/.f64 1 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 -1/8 x (/.f64 1 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 -1/8 x (/.f64 1 x)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 x -1/8 (/.f64 1 x)))))))
(*.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 x -1/8 (/.f64 1 x)))))) 2)
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 -1/8 x (/.f64 1 x))))) 1)
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x -1/8 (/.f64 1 x)))))
(*.f64 1 (/.f64 1 (fma.f64 -1/8 x (/.f64 1 x))))
(/.f64 1 (fma.f64 x -1/8 (/.f64 1 x)))
(*.f64 (/.f64 1 (fma.f64 -1/8 x (/.f64 1 x))) 1)
(/.f64 1 (fma.f64 x -1/8 (/.f64 1 x)))
(*.f64 (/.f64 1 (fma.f64 -1/8 x (/.f64 1 x))) (log.f64 (exp.f64 1)))
(/.f64 1 (fma.f64 x -1/8 (/.f64 1 x)))
(*.f64 -1 (/.f64 1 (neg.f64 (fma.f64 -1/8 x (/.f64 1 x)))))
(/.f64 1 (fma.f64 x -1/8 (/.f64 1 x)))
(*.f64 -1 (pow.f64 (/.f64 1 (neg.f64 (fma.f64 -1/8 x (/.f64 1 x)))) 1))
(/.f64 1 (fma.f64 x -1/8 (/.f64 1 x)))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/8 x (/.f64 1 x)))) (cbrt.f64 (pow.f64 (fma.f64 -1/8 x (/.f64 1 x)) -2)))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 x -1/8 (/.f64 1 x)))) (cbrt.f64 (pow.f64 (fma.f64 x -1/8 (/.f64 1 x)) -2)))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/8 (/.f64 1 x)) -2)) (cbrt.f64 (fma.f64 x -1/8 (/.f64 1 x))))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/8 x (/.f64 1 x)))) (pow.f64 (pow.f64 (fma.f64 -1/8 x (/.f64 1 x)) -2) 1/3))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 x -1/8 (/.f64 1 x)))) (cbrt.f64 (pow.f64 (fma.f64 x -1/8 (/.f64 1 x)) -2)))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/8 (/.f64 1 x)) -2)) (cbrt.f64 (fma.f64 x -1/8 (/.f64 1 x))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/8 x (/.f64 1 x)) -2)) (/.f64 1 (cbrt.f64 (fma.f64 -1/8 x (/.f64 1 x)))))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 x -1/8 (/.f64 1 x)))) (cbrt.f64 (pow.f64 (fma.f64 x -1/8 (/.f64 1 x)) -2)))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/8 (/.f64 1 x)) -2)) (cbrt.f64 (fma.f64 x -1/8 (/.f64 1 x))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/8 x (/.f64 1 x)) -2)) (pow.f64 (/.f64 (cbrt.f64 (fma.f64 -1/8 x (/.f64 1 x))) 1) -1))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 x -1/8 (/.f64 1 x)))) (cbrt.f64 (pow.f64 (fma.f64 x -1/8 (/.f64 1 x)) -2)))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/8 (/.f64 1 x)) -2)) (cbrt.f64 (fma.f64 x -1/8 (/.f64 1 x))))
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(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/8 (/.f64 1 x)) -2)) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/8 (/.f64 1 x)) -1/2)) 2))
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(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 -1/8 x (/.f64 1 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 -1/8 x (/.f64 1 x)) 3)) 1/3))
(fma.f64 x -1/8 (/.f64 1 x))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 -1/8 x (/.f64 1 x)) 2) (pow.f64 (cbrt.f64 (fma.f64 -1/8 x (/.f64 1 x))) 2)) 1/3) (pow.f64 (cbrt.f64 (fma.f64 -1/8 x (/.f64 1 x))) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -1/8 (/.f64 1 x)))) (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/8 (/.f64 1 x))) 2) (pow.f64 (fma.f64 x -1/8 (/.f64 1 x)) 2))))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -1/8 (/.f64 1 x)))) (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/8 (/.f64 1 x))) 7) (cbrt.f64 (fma.f64 x -1/8 (/.f64 1 x))))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 -1/8 x (/.f64 1 x)) 2) (sqrt.f64 (fma.f64 -1/8 x (/.f64 1 x)))) 1/3) (pow.f64 (sqrt.f64 (fma.f64 -1/8 x (/.f64 1 x))) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/8 (/.f64 1 x)))) (cbrt.f64 (*.f64 (sqrt.f64 (fma.f64 x -1/8 (/.f64 1 x))) (pow.f64 (fma.f64 x -1/8 (/.f64 1 x)) 2))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/8 (/.f64 1 x)))) (cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 x -1/8 (/.f64 1 x))) 5)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/8 x (/.f64 1 x))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 -1/8 x (/.f64 1 x)))) 2))
(fma.f64 x -1/8 (/.f64 1 x))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 -1/8 x (/.f64 1 x)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 -1/8 x (/.f64 1 x)))) 2))
(fma.f64 x -1/8 (/.f64 1 x))
(/.f64 1 (/.f64 1 (fma.f64 -1/8 x (/.f64 1 x))))
(fma.f64 x -1/8 (/.f64 1 x))
(/.f64 1 (/.f64 (-.f64 (fma.f64 (pow.f64 x 2) 1/64 (pow.f64 x -2)) (/.f64 (*.f64 -1/8 x) x)) (fma.f64 (pow.f64 x 3) -1/512 (pow.f64 x -3))))
(*.f64 (fma.f64 (pow.f64 x 3) -1/512 (pow.f64 x -3)) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 2) 1/64 (pow.f64 x -2)) (/.f64 (*.f64 x -1/8) x))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/512 (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (fma.f64 1/64 (pow.f64 x 2) 1/8)))
(/.f64 1 (/.f64 (-.f64 (*.f64 -1/8 x) (/.f64 1 x)) (-.f64 (*.f64 (pow.f64 x 2) 1/64) (pow.f64 x -2))))
(/.f64 (fma.f64 (pow.f64 x 2) 1/64 (neg.f64 (pow.f64 x -2))) (-.f64 (*.f64 x -1/8) (/.f64 1 x)))
(/.f64 (-.f64 (*.f64 1/64 (pow.f64 x 2)) (pow.f64 x -2)) (fma.f64 x -1/8 (/.f64 -1 x)))
(/.f64 (fma.f64 (pow.f64 x 2) -1/64 (pow.f64 x -2)) (fma.f64 x 1/8 (/.f64 1 x)))
(/.f64 (fma.f64 -1/8 x (/.f64 1 x)) 1)
(fma.f64 x -1/8 (/.f64 1 x))
(/.f64 (neg.f64 (fma.f64 -1/8 x (/.f64 1 x))) -1)
(fma.f64 x -1/8 (/.f64 1 x))
(/.f64 (fma.f64 (pow.f64 x 3) -1/512 (pow.f64 x -3)) (-.f64 (fma.f64 (pow.f64 x 2) 1/64 (pow.f64 x -2)) (/.f64 (*.f64 -1/8 x) x)))
(*.f64 (fma.f64 (pow.f64 x 3) -1/512 (pow.f64 x -3)) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 2) 1/64 (pow.f64 x -2)) (/.f64 (*.f64 x -1/8) x))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/512 (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (fma.f64 1/64 (pow.f64 x 2) 1/8)))
(/.f64 (fma.f64 (pow.f64 x 3) -1/512 (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (-.f64 (*.f64 (pow.f64 x 2) 1/64) (/.f64 (*.f64 -1/8 x) x))))
(*.f64 (fma.f64 (pow.f64 x 3) -1/512 (pow.f64 x -3)) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 2) 1/64 (pow.f64 x -2)) (/.f64 (*.f64 x -1/8) x))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/512 (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (fma.f64 1/64 (pow.f64 x 2) 1/8)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/64) (pow.f64 x -2)) (-.f64 (*.f64 -1/8 x) (/.f64 1 x)))
(/.f64 (fma.f64 (pow.f64 x 2) 1/64 (neg.f64 (pow.f64 x -2))) (-.f64 (*.f64 x -1/8) (/.f64 1 x)))
(/.f64 (-.f64 (*.f64 1/64 (pow.f64 x 2)) (pow.f64 x -2)) (fma.f64 x -1/8 (/.f64 -1 x)))
(/.f64 (fma.f64 (pow.f64 x 2) -1/64 (pow.f64 x -2)) (fma.f64 x 1/8 (/.f64 1 x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 3) -1/512 (pow.f64 x -3))) (neg.f64 (-.f64 (fma.f64 (pow.f64 x 2) 1/64 (pow.f64 x -2)) (/.f64 (*.f64 -1/8 x) x))))
(*.f64 (fma.f64 (pow.f64 x 3) -1/512 (pow.f64 x -3)) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 2) 1/64 (pow.f64 x -2)) (/.f64 (*.f64 x -1/8) x))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/512 (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (fma.f64 1/64 (pow.f64 x 2) 1/8)))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/64) (pow.f64 x -2))) (neg.f64 (-.f64 (*.f64 -1/8 x) (/.f64 1 x))))
(/.f64 (fma.f64 (pow.f64 x 2) 1/64 (neg.f64 (pow.f64 x -2))) (-.f64 (*.f64 x -1/8) (/.f64 1 x)))
(/.f64 (-.f64 (*.f64 1/64 (pow.f64 x 2)) (pow.f64 x -2)) (fma.f64 x -1/8 (/.f64 -1 x)))
(/.f64 (fma.f64 (pow.f64 x 2) -1/64 (pow.f64 x -2)) (fma.f64 x 1/8 (/.f64 1 x)))
(/.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x 2) 1/64)) (-.f64 (/.f64 1 x) (*.f64 -1/8 x)))
(/.f64 (fma.f64 (pow.f64 x 2) 1/64 (neg.f64 (pow.f64 x -2))) (-.f64 (*.f64 x -1/8) (/.f64 1 x)))
(/.f64 (-.f64 (*.f64 1/64 (pow.f64 x 2)) (pow.f64 x -2)) (fma.f64 x -1/8 (/.f64 -1 x)))
(/.f64 (fma.f64 (pow.f64 x 2) -1/64 (pow.f64 x -2)) (fma.f64 x 1/8 (/.f64 1 x)))
(pow.f64 (fma.f64 -1/8 x (/.f64 1 x)) 1)
(fma.f64 x -1/8 (/.f64 1 x))
(pow.f64 (/.f64 1 (fma.f64 -1/8 x (/.f64 1 x))) -1)
(fma.f64 x -1/8 (/.f64 1 x))
(pow.f64 (cbrt.f64 (fma.f64 -1/8 x (/.f64 1 x))) 3)
(fma.f64 x -1/8 (/.f64 1 x))
(pow.f64 (pow.f64 (fma.f64 -1/8 x (/.f64 1 x)) 3) 1/3)
(fma.f64 x -1/8 (/.f64 1 x))
(pow.f64 (sqrt.f64 (fma.f64 -1/8 x (/.f64 1 x))) 2)
(fma.f64 x -1/8 (/.f64 1 x))
(pow.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 x 2) 1/64 (pow.f64 x -2)) (/.f64 (*.f64 -1/8 x) x)) (fma.f64 (pow.f64 x 3) -1/512 (pow.f64 x -3))) -1)
(*.f64 (fma.f64 (pow.f64 x 3) -1/512 (pow.f64 x -3)) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 2) 1/64 (pow.f64 x -2)) (/.f64 (*.f64 x -1/8) x))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/512 (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (fma.f64 1/64 (pow.f64 x 2) 1/8)))
(pow.f64 (/.f64 (-.f64 (*.f64 -1/8 x) (/.f64 1 x)) (-.f64 (*.f64 (pow.f64 x 2) 1/64) (pow.f64 x -2))) -1)
(/.f64 (fma.f64 (pow.f64 x 2) 1/64 (neg.f64 (pow.f64 x -2))) (-.f64 (*.f64 x -1/8) (/.f64 1 x)))
(/.f64 (-.f64 (*.f64 1/64 (pow.f64 x 2)) (pow.f64 x -2)) (fma.f64 x -1/8 (/.f64 -1 x)))
(/.f64 (fma.f64 (pow.f64 x 2) -1/64 (pow.f64 x -2)) (fma.f64 x 1/8 (/.f64 1 x)))
(sqrt.f64 (pow.f64 (fma.f64 -1/8 x (/.f64 1 x)) 2))
(fma.f64 x -1/8 (/.f64 1 x))
(log.f64 (exp.f64 (fma.f64 -1/8 x (/.f64 1 x))))
(fma.f64 x -1/8 (/.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/8 x (/.f64 1 x)))))
(fma.f64 x -1/8 (/.f64 1 x))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) -1/8) (+.f64 1 (expm1.f64 (/.f64 1 x)))))
(fma.f64 x -1/8 (/.f64 1 x))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -1/8 x))) (exp.f64 (/.f64 1 x))))
(fma.f64 x -1/8 (/.f64 1 x))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -1/8 x))) (+.f64 1 (expm1.f64 (/.f64 1 x)))))
(fma.f64 x -1/8 (/.f64 1 x))
(log.f64 (*.f64 (exp.f64 (/.f64 1 x)) (+.f64 1 (expm1.f64 (*.f64 -1/8 x)))))
(fma.f64 x -1/8 (/.f64 1 x))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))) (pow.f64 (exp.f64 x) -1/8)))
(fma.f64 x -1/8 (/.f64 1 x))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))) (+.f64 1 (expm1.f64 (*.f64 -1/8 x)))))
(fma.f64 x -1/8 (/.f64 1 x))
(cbrt.f64 (pow.f64 (fma.f64 -1/8 x (/.f64 1 x)) 3))
(fma.f64 x -1/8 (/.f64 1 x))
(expm1.f64 (log1p.f64 (fma.f64 -1/8 x (/.f64 1 x))))
(expm1.f64 (log1p.f64 (fma.f64 x -1/8 (/.f64 1 x))))
(log1p.f64 (expm1.f64 (fma.f64 -1/8 x (/.f64 1 x))))
(fma.f64 x -1/8 (/.f64 1 x))
(exp.f64 (log.f64 (fma.f64 -1/8 x (/.f64 1 x))))
(fma.f64 x -1/8 (/.f64 1 x))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/8 x (/.f64 1 x))) 1))
(fma.f64 x -1/8 (/.f64 1 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 -1/8 x (/.f64 1 x)))) 3))
(fma.f64 x -1/8 (/.f64 1 x))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 -1/8 x (/.f64 1 x)))) 1/3))
(fma.f64 x -1/8 (/.f64 1 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 -1/8 x (/.f64 1 x)))) 2))
(fma.f64 x -1/8 (/.f64 1 x))
(fma.f64 1 (*.f64 -1/8 x) (/.f64 1 x))
(fma.f64 x -1/8 (/.f64 1 x))
(fma.f64 1 (/.f64 1 x) (*.f64 -1/8 x))
(fma.f64 x -1/8 (/.f64 1 x))
(fma.f64 -1/8 x (/.f64 1 x))
(fma.f64 x -1/8 (/.f64 1 x))
(fma.f64 x -1/8 (/.f64 1 x))
(fma.f64 (*.f64 -1/8 x) 1 (/.f64 1 x))
(fma.f64 x -1/8 (/.f64 1 x))
(fma.f64 (/.f64 1 x) 1 (*.f64 -1/8 x))
(fma.f64 x -1/8 (/.f64 1 x))
(fma.f64 -1 (/.f64 1 (neg.f64 x)) (*.f64 -1/8 x))
(fma.f64 x -1/8 (/.f64 1 x))
(fma.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)) (*.f64 -1/8 x))
(fma.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)) (*.f64 x -1/8))
(fma.f64 x -1/8 (/.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (*.f64 -1/8 x))
(fma.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)) (*.f64 x -1/8))
(fma.f64 x -1/8 (/.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 x)))
(fma.f64 (cbrt.f64 (*.f64 -1/8 x)) (cbrt.f64 (*.f64 (pow.f64 x 2) 1/64)) (/.f64 1 x))
(fma.f64 (cbrt.f64 (*.f64 x -1/8)) (cbrt.f64 (*.f64 1/64 (pow.f64 x 2))) (/.f64 1 x))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 1/64)) (cbrt.f64 (*.f64 -1/8 x)) (/.f64 1 x))
(fma.f64 (cbrt.f64 (*.f64 x -1/8)) (cbrt.f64 (*.f64 1/64 (pow.f64 x 2))) (/.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) -1/8) (/.f64 1 x))
(fma.f64 x -1/8 (/.f64 1 x))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (*.f64 -1/8 x))
(fma.f64 x -1/8 (/.f64 1 x))
(fma.f64 (sqrt.f64 (*.f64 -1/8 x)) (sqrt.f64 (*.f64 -1/8 x)) (/.f64 1 x))
(fma.f64 x -1/8 (/.f64 1 x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -1/8) (/.f64 1 x))
(fma.f64 x -1/8 (/.f64 1 x))
(fma.f64 (*.f64 -1/8 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (/.f64 1 x))
(fma.f64 x -1/8 (/.f64 1 x))
(fma.f64 (*.f64 -1/8 (sqrt.f64 x)) (sqrt.f64 x) (/.f64 1 x))
(fma.f64 x -1/8 (/.f64 1 x))

eval126.0ms (1.9%)

Compiler

Compiled 3379 to 2708 computations (19.9% saved)

prune161.0ms (2.4%)

Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New1960196
Fresh000
Picked011
Done066
Total1967203
Accuracy
100.0%
Counts
203 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
99.7%
(/.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 x x)))
99.2%
(/.f64 1 (+.f64 (*.f64 -1/8 x) (/.f64 1 x)))
9.2%
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
99.6%
(+.f64 x (+.f64 (*.f64 7/128 (pow.f64 x 5)) (*.f64 1/8 (pow.f64 x 3))))
99.4%
(+.f64 x (*.f64 1/8 (pow.f64 x 3)))
98.9%
x
Compiler

Compiled 166 to 121 computations (27.1% saved)

regimes7.0ms (0.1%)

Counts
9 → 1
Calls
Call 1
Inputs
x
(/.f64 1 (+.f64 (*.f64 -1/8 x) (/.f64 1 x)))
(+.f64 x (*.f64 1/8 (pow.f64 x 3)))
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 -1/4 (pow.f64 x 2))))
(/.f64 1 (/.f64 (+.f64 2 (*.f64 -1/4 (pow.f64 x 2))) (+.f64 x x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(+.f64 x (+.f64 (*.f64 7/128 (pow.f64 x 5)) (*.f64 1/8 (pow.f64 x 3))))
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(/.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 x x)))
Outputs
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
Calls

2 calls:

5.0ms
x
2.0ms
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
Compiler

Compiled 12 to 9 computations (25% saved)

regimes9.0ms (0.1%)

Counts
7 → 1
Calls
Call 1
Inputs
x
(/.f64 1 (+.f64 (*.f64 -1/8 x) (/.f64 1 x)))
(+.f64 x (*.f64 1/8 (pow.f64 x 3)))
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 -1/4 (pow.f64 x 2))))
(/.f64 1 (/.f64 (+.f64 2 (*.f64 -1/4 (pow.f64 x 2))) (+.f64 x x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(+.f64 x (+.f64 (*.f64 7/128 (pow.f64 x 5)) (*.f64 1/8 (pow.f64 x 3))))
Outputs
(+.f64 x (+.f64 (*.f64 7/128 (pow.f64 x 5)) (*.f64 1/8 (pow.f64 x 3))))
Calls

2 calls:

6.0ms
x
2.0ms
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
Results
AccuracySegmentsBranch
99.6%1x
99.6%1(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
Compiler

Compiled 12 to 9 computations (25% saved)

regimes6.0ms (0.1%)

Counts
6 → 1
Calls
Call 1
Inputs
x
(/.f64 1 (+.f64 (*.f64 -1/8 x) (/.f64 1 x)))
(+.f64 x (*.f64 1/8 (pow.f64 x 3)))
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 -1/4 (pow.f64 x 2))))
(/.f64 1 (/.f64 (+.f64 2 (*.f64 -1/4 (pow.f64 x 2))) (+.f64 x x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
Outputs
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 -1/4 (pow.f64 x 2))))
Calls

2 calls:

4.0ms
x
2.0ms
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
Results
AccuracySegmentsBranch
99.4%1x
99.4%1(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
Compiler

Compiled 12 to 9 computations (25% saved)

regimes3.0ms (0%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
99.4%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts
2 → 1
Calls
Call 1
Inputs
x
(/.f64 1 (+.f64 (*.f64 -1/8 x) (/.f64 1 x)))
Outputs
(/.f64 1 (+.f64 (*.f64 -1/8 x) (/.f64 1 x)))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
99.2%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
x
Outputs
x
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
98.9%1x
Compiler

Compiled 2 to 1 computations (50% saved)

simplify8.0ms (0.1%)

Algorithm
egg-herbie
Rules
18×+-commutative
10×*-commutative
sub-neg
1-exp
neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036197
154197
258197
360197
461197
Stop Event
done
saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(+.f64 x (+.f64 (*.f64 7/128 (pow.f64 x 5)) (*.f64 1/8 (pow.f64 x 3))))
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 -1/4 (pow.f64 x 2))))
(+.f64 x (*.f64 1/8 (pow.f64 x 3)))
(/.f64 1 (+.f64 (*.f64 -1/8 x) (/.f64 1 x)))
x
Outputs
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 x (+.f64 (*.f64 7/128 (pow.f64 x 5)) (*.f64 1/8 (pow.f64 x 3))))
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 -1/4 (pow.f64 x 2))))
(+.f64 x (*.f64 1/8 (pow.f64 x 3)))
(/.f64 1 (+.f64 (*.f64 -1/8 x) (/.f64 1 x)))
(/.f64 1 (+.f64 (*.f64 x -1/8) (/.f64 1 x)))
x
Compiler

Compiled 60 to 45 computations (25% saved)

soundness323.0ms (4.8%)

Rules
1382×unpow-prod-down
1382×unpow-prod-down
956×fma-define
956×fma-define
790×log1p-expm1-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01261
115861
2216061
01261
115861
2216061
Stop Event
node limit
node limit
Compiler

Compiled 365 to 285 computations (21.9% saved)

end0.0ms (0%)

preprocess96.0ms (1.4%)

Remove

(negabs x)

Compiler

Compiled 354 to 256 computations (27.7% saved)

Profiling

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