bug333 (missed optimization)

Time bar (total: 5.6s)

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)

sample2.3s (41.6%)

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

preprocess265.0ms (4.7%)

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
2550-0-(-.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
9.1%
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
Compiler

Compiled 10 to 8 computations (20% saved)

localize98.0ms (1.8%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
100.0%
(sqrt.f64 (+.f64 1 x))
100.0%
(sqrt.f64 (-.f64 1 x))
9.1%
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
Compiler

Compiled 27 to 20 computations (25.9% saved)

series11.0ms (0.2%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
2.0ms
x
@-inf
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
1.0ms
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
@-inf
(sqrt.f64 (-.f64 1 x))

rewrite237.0ms (4.2%)

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))))
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(fma.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x))))
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(*.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))

simplify171.0ms (3%)

Algorithm
egg-herbie
Rules
1578×fma-neg
614×unswap-sqr
612×times-frac
530×distribute-rgt-neg-in
520×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
068512495
1149811853
2429911683
Stop Event
node limit
Counts
268 → 427
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)))))
(*.f64 x (-.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1))))
(-.f64 (+.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 x))) (*.f64 x (-.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1))))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (sqrt.f64 -1)))))
(-.f64 (+.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 x))) (*.f64 x (-.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1)))))) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (sqrt.f64 -1))))))
(-.f64 (+.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 x))) (*.f64 x (-.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1))))))) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (sqrt.f64 -1)))))))
(*.f64 -1 (*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (pow.f64 (sqrt.f64 -1) 2)) (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1)))))
(+.f64 (*.f64 -1 (*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (pow.f64 (sqrt.f64 -1) 2)) (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1))))) (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (sqrt.f64 x)) (*.f64 1/2 (*.f64 (sqrt.f64 x) (sqrt.f64 -1)))) x)))
(+.f64 (*.f64 -1 (*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (pow.f64 (sqrt.f64 -1) 2)) (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1))))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (pow.f64 x 3)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 -1/8 (*.f64 (sqrt.f64 (pow.f64 x 3)) (sqrt.f64 -1)))) (pow.f64 x 3))) (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (sqrt.f64 x)) (*.f64 1/2 (*.f64 (sqrt.f64 x) (sqrt.f64 -1)))) x))))
(+.f64 (*.f64 -1 (*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (pow.f64 (sqrt.f64 -1) 2)) (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1))))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (pow.f64 x 3)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 -1/8 (*.f64 (sqrt.f64 (pow.f64 x 3)) (sqrt.f64 -1)))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (pow.f64 x 5)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 4)))) (*.f64 1/16 (*.f64 (sqrt.f64 (pow.f64 x 5)) (sqrt.f64 -1)))) (pow.f64 x 5))) (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (sqrt.f64 x)) (*.f64 1/2 (*.f64 (sqrt.f64 x) (sqrt.f64 -1)))) x)))))
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)))))
(*.f64 (sqrt.f64 x) (sqrt.f64 -1))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (sqrt.f64 -1)))) (*.f64 (sqrt.f64 x) (sqrt.f64 -1)))
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (sqrt.f64 -1)))) (*.f64 (sqrt.f64 x) (sqrt.f64 -1))))
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (sqrt.f64 -1)))) (*.f64 (sqrt.f64 x) (sqrt.f64 -1)))))
(*.f64 -1 (*.f64 (sqrt.f64 x) (sqrt.f64 -1)))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 x) (sqrt.f64 -1))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1))))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 x) (sqrt.f64 -1))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1))) (*.f64 1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (sqrt.f64 -1)))))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 x) (sqrt.f64 -1))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1))) (+.f64 (*.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (sqrt.f64 -1))) (*.f64 1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (sqrt.f64 -1))))))
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))))
(sqrt.f64 x)
(+.f64 (sqrt.f64 x) (*.f64 1/2 (sqrt.f64 (/.f64 1 x))))
(+.f64 (sqrt.f64 x) (+.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 x)))))
(+.f64 (sqrt.f64 x) (+.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 x))))))
(*.f64 -1 (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 -1) 2)))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 -1) 2))) (*.f64 -1/2 (sqrt.f64 (/.f64 1 x))))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 x))) (*.f64 1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))))))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 x))) (+.f64 (*.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 4)))) (*.f64 1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)))))))
(+.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))))))
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(*.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 x (fma.f64 1/8 (pow.f64 x 3) (*.f64 7/128 (pow.f64 x 5))))
(+.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))
(*.f64 x (-.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1))))
(-.f64 (+.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 x))) (*.f64 x (-.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1))))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (sqrt.f64 -1)))))
(+.f64 (fma.f64 1/2 (sqrt.f64 (/.f64 1 x)) (*.f64 x (-.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1))))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (sqrt.f64 -1)))))
(fma.f64 (sqrt.f64 (/.f64 1 x)) 1/2 (fma.f64 x (-.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1))) (*.f64 (/.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1)) -1/2)))
(fma.f64 (sqrt.f64 (/.f64 1 x)) 1/2 (fma.f64 x (-.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1))) (/.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) -1/2) (sqrt.f64 -1))))
(-.f64 (+.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 x))) (*.f64 x (-.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1)))))) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (sqrt.f64 -1))))))
(-.f64 (fma.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (fma.f64 1/2 (sqrt.f64 (/.f64 1 x)) (*.f64 x (-.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1)))))) (fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (sqrt.f64 -1))))))
(fma.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (-.f64 (fma.f64 x (-.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1))) (*.f64 (sqrt.f64 (/.f64 1 x)) 1/2)) (fma.f64 1/2 (/.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1)) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 -1 (sqrt.f64 -1)))))))
(fma.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (-.f64 (fma.f64 x (-.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1))) (*.f64 (sqrt.f64 (/.f64 1 x)) 1/2)) (fma.f64 1/2 (/.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1)) (*.f64 1/8 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (sqrt.f64 -1))))))
(-.f64 (+.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 x))) (*.f64 x (-.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1))))))) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (sqrt.f64 -1)))))))
(-.f64 (fma.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (fma.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (fma.f64 1/2 (sqrt.f64 (/.f64 1 x)) (*.f64 x (-.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1))))))) (fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 5))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (sqrt.f64 -1)))))))
(-.f64 (fma.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (fma.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (fma.f64 x (-.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1))) (*.f64 (sqrt.f64 (/.f64 1 x)) 1/2)))) (fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 -1 (sqrt.f64 -1))) (fma.f64 1/2 (/.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1)) (*.f64 1/16 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (pow.f64 (sqrt.f64 -1) 5))))))
(-.f64 (fma.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (fma.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (fma.f64 x (-.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1))) (*.f64 (sqrt.f64 (/.f64 1 x)) 1/2)))) (+.f64 (*.f64 1/8 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (sqrt.f64 -1))) (fma.f64 1/16 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (pow.f64 (sqrt.f64 -1) 5)) (*.f64 1/2 (/.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1))))))
(*.f64 -1 (*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (pow.f64 (sqrt.f64 -1) 2)) (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1)))))
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 (/.f64 1 x)) (-.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 -1))))
(neg.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 (-.f64 -1 (sqrt.f64 -1)) x)))
(*.f64 (sqrt.f64 (/.f64 1 x)) (neg.f64 (*.f64 (-.f64 -1 (sqrt.f64 -1)) x)))
(+.f64 (*.f64 -1 (*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (pow.f64 (sqrt.f64 -1) 2)) (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1))))) (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (sqrt.f64 x)) (*.f64 1/2 (*.f64 (sqrt.f64 x) (sqrt.f64 -1)))) x)))
(*.f64 -1 (+.f64 (*.f64 x (*.f64 (sqrt.f64 (/.f64 1 x)) (-.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 -1)))) (/.f64 (*.f64 1/2 (-.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 -1) (sqrt.f64 x)))) x)))
(-.f64 (/.f64 (*.f64 -1/2 (-.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 -1) (sqrt.f64 x)))) x) (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 (-.f64 -1 (sqrt.f64 -1)) x)))
(-.f64 (*.f64 -1/2 (/.f64 (-.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 -1) (sqrt.f64 x))) x)) (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 (-.f64 -1 (sqrt.f64 -1)) x)))
(+.f64 (*.f64 -1 (*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (pow.f64 (sqrt.f64 -1) 2)) (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1))))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (pow.f64 x 3)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 -1/8 (*.f64 (sqrt.f64 (pow.f64 x 3)) (sqrt.f64 -1)))) (pow.f64 x 3))) (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (sqrt.f64 x)) (*.f64 1/2 (*.f64 (sqrt.f64 x) (sqrt.f64 -1)))) x))))
(fma.f64 -1 (*.f64 x (*.f64 (sqrt.f64 (/.f64 1 x)) (-.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 -1)))) (fma.f64 -1 (/.f64 (*.f64 -1/8 (-.f64 (*.f64 (sqrt.f64 (pow.f64 x 3)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (pow.f64 x 3))))) (pow.f64 x 3)) (neg.f64 (/.f64 (*.f64 1/2 (-.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 -1) (sqrt.f64 x)))) x))))
(+.f64 (/.f64 (*.f64 -1/2 (-.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 -1) (sqrt.f64 x)))) x) (fma.f64 (neg.f64 x) (*.f64 (sqrt.f64 (/.f64 1 x)) (-.f64 -1 (sqrt.f64 -1))) (/.f64 (*.f64 1/8 (*.f64 (sqrt.f64 (pow.f64 x 3)) (-.f64 -1 (sqrt.f64 -1)))) (pow.f64 x 3))))
(-.f64 (*.f64 1/8 (/.f64 (*.f64 (fabs.f64 (pow.f64 x 3/2)) (-.f64 -1 (sqrt.f64 -1))) (pow.f64 x 3))) (fma.f64 x (*.f64 (sqrt.f64 (/.f64 1 x)) (-.f64 -1 (sqrt.f64 -1))) (*.f64 1/2 (/.f64 (-.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 -1) (sqrt.f64 x))) x))))
(+.f64 (*.f64 -1 (*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (pow.f64 (sqrt.f64 -1) 2)) (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1))))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (pow.f64 x 3)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 -1/8 (*.f64 (sqrt.f64 (pow.f64 x 3)) (sqrt.f64 -1)))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (pow.f64 x 5)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 4)))) (*.f64 1/16 (*.f64 (sqrt.f64 (pow.f64 x 5)) (sqrt.f64 -1)))) (pow.f64 x 5))) (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (sqrt.f64 x)) (*.f64 1/2 (*.f64 (sqrt.f64 x) (sqrt.f64 -1)))) x)))))
(fma.f64 -1 (*.f64 x (*.f64 (sqrt.f64 (/.f64 1 x)) (-.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 -1)))) (fma.f64 -1 (/.f64 (*.f64 -1/8 (-.f64 (*.f64 (sqrt.f64 (pow.f64 x 3)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (pow.f64 x 3))))) (pow.f64 x 3)) (fma.f64 -1 (/.f64 (*.f64 1/16 (-.f64 (*.f64 (sqrt.f64 (pow.f64 x 5)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 4))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (pow.f64 x 5))))) (pow.f64 x 5)) (neg.f64 (/.f64 (*.f64 1/2 (-.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 -1) (sqrt.f64 x)))) x)))))
(+.f64 (+.f64 (/.f64 (*.f64 -1/2 (-.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 -1) (sqrt.f64 x)))) x) (fma.f64 (neg.f64 x) (*.f64 (sqrt.f64 (/.f64 1 x)) (-.f64 -1 (sqrt.f64 -1))) (/.f64 (*.f64 1/8 (*.f64 (sqrt.f64 (pow.f64 x 3)) (-.f64 -1 (sqrt.f64 -1)))) (pow.f64 x 3)))) (/.f64 (*.f64 -1/16 (*.f64 (sqrt.f64 (pow.f64 x 5)) (-.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 4)) (sqrt.f64 -1)))) (pow.f64 x 5)))
(+.f64 (-.f64 (*.f64 1/8 (/.f64 (*.f64 (fabs.f64 (pow.f64 x 3/2)) (-.f64 -1 (sqrt.f64 -1))) (pow.f64 x 3))) (fma.f64 x (*.f64 (sqrt.f64 (/.f64 1 x)) (-.f64 -1 (sqrt.f64 -1))) (*.f64 1/2 (/.f64 (-.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 -1) (sqrt.f64 x))) x)))) (*.f64 -1/16 (/.f64 (*.f64 (sqrt.f64 (pow.f64 x 5)) (-.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 4)) (sqrt.f64 -1))) (pow.f64 x 5))))
1
(+.f64 1 (*.f64 -1/2 x))
(+.f64 1 (*.f64 x -1/2))
(fma.f64 x -1/2 1)
(+.f64 1 (+.f64 (*.f64 -1/2 x) (*.f64 -1/8 (pow.f64 x 2))))
(+.f64 1 (fma.f64 -1/2 x (*.f64 -1/8 (pow.f64 x 2))))
(+.f64 1 (fma.f64 x -1/2 (*.f64 -1/8 (pow.f64 x 2))))
(+.f64 1 (fma.f64 -1/8 (pow.f64 x 2) (*.f64 x -1/2)))
(+.f64 1 (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 -1/16 (pow.f64 x 3)))))
(+.f64 1 (fma.f64 -1/2 x (fma.f64 -1/8 (pow.f64 x 2) (*.f64 (pow.f64 x 3) -1/16))))
(+.f64 1 (fma.f64 x -1/2 (fma.f64 (pow.f64 x 3) -1/16 (*.f64 -1/8 (pow.f64 x 2)))))
(+.f64 (fma.f64 x -1/2 1) (fma.f64 (pow.f64 x 3) -1/16 (*.f64 -1/8 (pow.f64 x 2))))
(*.f64 (sqrt.f64 x) (sqrt.f64 -1))
(*.f64 (sqrt.f64 -1) (sqrt.f64 x))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (sqrt.f64 -1)))) (*.f64 (sqrt.f64 x) (sqrt.f64 -1)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (sqrt.f64 -1))) (*.f64 (sqrt.f64 -1) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 -1) (sqrt.f64 x) (*.f64 1/2 (/.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1))))
(fma.f64 1/2 (/.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1)) (*.f64 (sqrt.f64 -1) (sqrt.f64 x)))
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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 (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))

eval205.0ms (3.7%)

Compiler

Compiled 9492 to 7807 computations (17.8% saved)

prune57.0ms (1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New4234427
Fresh000
Picked011
Done000
Total4235428
Accuracy
100.0%
Counts
428 → 5
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))))
9.1%
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
99.8%
(+.f64 x (+.f64 (*.f64 7/128 (pow.f64 x 5)) (*.f64 1/8 (pow.f64 x 3))))
99.5%
(+.f64 x (*.f64 1/8 (pow.f64 x 3)))
98.9%
x
Compiler

Compiled 48 to 36 computations (25% saved)

localize142.0ms (2.5%)

Localize:

Found 6 expressions with local error:

NewAccuracyProgram
100.0%
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
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))
100.0%
(+.f64 (*.f64 7/128 (pow.f64 x 5)) (*.f64 1/8 (pow.f64 x 3)))
99.9%
(*.f64 7/128 (pow.f64 x 5))
Compiler

Compiled 107 to 77 computations (28% saved)

series19.0ms (0.3%)

Counts
4 → 27
Calls

12 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
4.0ms
x
@inf
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
2.0ms
x
@-inf
(*.f64 7/128 (pow.f64 x 5))
1.0ms
x
@-inf
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
1.0ms
x
@inf
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))

rewrite152.0ms (2.7%)

Algorithm
batch-egg-rewrite
Rules
1024×log1p-expm1-u
797×expm1-log1p-u
214×associate-*r*
142×associate-*l*
141×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023130
1335115
24954115
Stop Event
node limit
Counts
4 → 161
Calls
Call 1
Inputs
(*.f64 7/128 (pow.f64 x 5))
(+.f64 (*.f64 7/128 (pow.f64 x 5)) (*.f64 1/8 (pow.f64 x 3)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 7/128 (pow.f64 x 5)))) 1)
(pow.f64 (*.f64 7/128 (pow.f64 x 5)) 1)
(pow.f64 (cbrt.f64 (*.f64 7/128 (pow.f64 x 5))) 3)
(pow.f64 (pow.f64 (*.f64 7/128 (pow.f64 x 5)) 3) 1/3)
(pow.f64 (*.f64 (pow.f64 x 5/2) (sqrt.f64 7/128)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 10) 49/16384))
(log.f64 (pow.f64 (exp.f64 7/128) (pow.f64 x 5)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 7/128 (pow.f64 x 5)))))
(cbrt.f64 (pow.f64 (*.f64 7/128 (pow.f64 x 5)) 3))
(expm1.f64 (log1p.f64 (*.f64 7/128 (pow.f64 x 5))))
(log1p.f64 (expm1.f64 (*.f64 7/128 (pow.f64 x 5))))
(exp.f64 (log.f64 (*.f64 7/128 (pow.f64 x 5))))
(exp.f64 (*.f64 (log.f64 (*.f64 7/128 (pow.f64 x 5))) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/8 (pow.f64 x 3) (*.f64 7/128 (pow.f64 x 5))))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 x 10) 49/16384) (+.f64 (*.f64 7/128 (pow.f64 x 5)) (*.f64 -1/8 (pow.f64 x 3)))) (/.f64 (*.f64 (pow.f64 x 6) 1/64) (+.f64 (*.f64 7/128 (pow.f64 x 5)) (*.f64 -1/8 (pow.f64 x 3)))))
(*.f64 (fma.f64 1/8 (pow.f64 x 3) (*.f64 7/128 (pow.f64 x 5))) 1)
(*.f64 1 (fma.f64 1/8 (pow.f64 x 3) (*.f64 7/128 (pow.f64 x 5))))
(*.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 x 3) (*.f64 7/128 (pow.f64 x 5)))) (pow.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 x 3) (*.f64 7/128 (pow.f64 x 5)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 x 3) (*.f64 7/128 (pow.f64 x 5)))) 2) (cbrt.f64 (fma.f64 1/8 (pow.f64 x 3) (*.f64 7/128 (pow.f64 x 5)))))
(*.f64 (sqrt.f64 (fma.f64 1/8 (pow.f64 x 3) (*.f64 7/128 (pow.f64 x 5)))) (sqrt.f64 (fma.f64 1/8 (pow.f64 x 3) (*.f64 7/128 (pow.f64 x 5)))))
(*.f64 (+.f64 (pow.f64 (*.f64 7/128 (pow.f64 x 5)) 3) (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/512)) (/.f64 1 (-.f64 (+.f64 (*.f64 (pow.f64 x 10) 49/16384) (*.f64 (pow.f64 x 6) 1/64)) (*.f64 (*.f64 7/128 (pow.f64 x 5)) (*.f64 1/8 (pow.f64 x 3))))))
(*.f64 (-.f64 (*.f64 (pow.f64 x 10) 49/16384) (*.f64 (pow.f64 x 6) 1/64)) (/.f64 1 (+.f64 (*.f64 7/128 (pow.f64 x 5)) (*.f64 -1/8 (pow.f64 x 3)))))
(/.f64 1 (/.f64 (-.f64 (+.f64 (*.f64 (pow.f64 x 10) 49/16384) (*.f64 (pow.f64 x 6) 1/64)) (*.f64 (*.f64 7/128 (pow.f64 x 5)) (*.f64 1/8 (pow.f64 x 3)))) (+.f64 (pow.f64 (*.f64 7/128 (pow.f64 x 5)) 3) (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/512))))
(/.f64 1 (/.f64 (+.f64 (*.f64 7/128 (pow.f64 x 5)) (*.f64 -1/8 (pow.f64 x 3))) (-.f64 (*.f64 (pow.f64 x 10) 49/16384) (*.f64 (pow.f64 x 6) 1/64))))
(/.f64 (+.f64 (pow.f64 (*.f64 7/128 (pow.f64 x 5)) 3) (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/512)) (-.f64 (+.f64 (*.f64 (pow.f64 x 10) 49/16384) (*.f64 (pow.f64 x 6) 1/64)) (*.f64 (*.f64 7/128 (pow.f64 x 5)) (*.f64 1/8 (pow.f64 x 3)))))
(/.f64 (+.f64 (pow.f64 (*.f64 7/128 (pow.f64 x 5)) 3) (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/512)) (+.f64 (*.f64 (pow.f64 x 6) 1/64) (-.f64 (*.f64 (pow.f64 x 10) 49/16384) (*.f64 (*.f64 7/128 (pow.f64 x 5)) (*.f64 1/8 (pow.f64 x 3))))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 10) 49/16384) (*.f64 (pow.f64 x 6) 1/64)) (+.f64 (*.f64 7/128 (pow.f64 x 5)) (*.f64 -1/8 (pow.f64 x 3))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 7/128 (pow.f64 x 5)) 3) (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/512))) (neg.f64 (-.f64 (+.f64 (*.f64 (pow.f64 x 10) 49/16384) (*.f64 (pow.f64 x 6) 1/64)) (*.f64 (*.f64 7/128 (pow.f64 x 5)) (*.f64 1/8 (pow.f64 x 3))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 10) 49/16384) (*.f64 (pow.f64 x 6) 1/64))) (neg.f64 (+.f64 (*.f64 7/128 (pow.f64 x 5)) (*.f64 -1/8 (pow.f64 x 3)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/64) (*.f64 (pow.f64 x 10) 49/16384)) (-.f64 (*.f64 1/8 (pow.f64 x 3)) (*.f64 7/128 (pow.f64 x 5))))
(pow.f64 (fma.f64 1/8 (pow.f64 x 3) (*.f64 7/128 (pow.f64 x 5))) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 x 3) (*.f64 7/128 (pow.f64 x 5)))) 3)
(pow.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x 3) (*.f64 7/128 (pow.f64 x 5))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/8 (pow.f64 x 3) (*.f64 7/128 (pow.f64 x 5)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x 3) (*.f64 7/128 (pow.f64 x 5))) 2))
(log.f64 (exp.f64 (fma.f64 1/8 (pow.f64 x 3) (*.f64 7/128 (pow.f64 x 5)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/8 (pow.f64 x 3) (*.f64 7/128 (pow.f64 x 5))))))
(cbrt.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x 3) (*.f64 7/128 (pow.f64 x 5))) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/8 (pow.f64 x 3) (*.f64 7/128 (pow.f64 x 5)))))
(log1p.f64 (expm1.f64 (fma.f64 1/8 (pow.f64 x 3) (*.f64 7/128 (pow.f64 x 5)))))
(exp.f64 (log.f64 (fma.f64 1/8 (pow.f64 x 3) (*.f64 7/128 (pow.f64 x 5)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/8 (pow.f64 x 3) (*.f64 7/128 (pow.f64 x 5)))) 1))
(fma.f64 7/128 (pow.f64 x 5) (*.f64 1/8 (pow.f64 x 3)))
(fma.f64 (pow.f64 x 5) 7/128 (*.f64 1/8 (pow.f64 x 3)))
(fma.f64 1/8 (pow.f64 x 3) (*.f64 7/128 (pow.f64 x 5)))
(fma.f64 (pow.f64 x 3) 1/8 (*.f64 7/128 (pow.f64 x 5)))
(fma.f64 1 (*.f64 7/128 (pow.f64 x 5)) (*.f64 1/8 (pow.f64 x 3)))
(fma.f64 1 (*.f64 1/8 (pow.f64 x 3)) (*.f64 7/128 (pow.f64 x 5)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 10) 49/16384)) (cbrt.f64 (*.f64 7/128 (pow.f64 x 5))) (*.f64 1/8 (pow.f64 x 3)))
(fma.f64 (pow.f64 (*.f64 x (cbrt.f64 1/8)) 2) (*.f64 x (cbrt.f64 1/8)) (*.f64 7/128 (pow.f64 x 5)))
(fma.f64 (*.f64 (pow.f64 x 5/2) (sqrt.f64 7/128)) (*.f64 (pow.f64 x 5/2) (sqrt.f64 7/128)) (*.f64 1/8 (pow.f64 x 3)))
(fma.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/8)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/8)) (*.f64 7/128 (pow.f64 x 5)))
(-.f64 0 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) 1)
(-.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 x 1)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 1)
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (/.f64 0 0))
(*.f64 (/.f64 0 0) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(*.f64 1/2 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x))
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2) (/.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (/.f64 0 0)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2) (neg.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(*.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (/.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (/.f64 0 0)))
(*.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (neg.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (/.f64 1 (-.f64 (+.f64 (+.f64 x 1) (-.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))
(*.f64 -1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2) 1) (/.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (/.f64 0 0)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2) (/.f64 0 0)) (/.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (/.f64 0 0)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2) 2) (/.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) x))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 1) (/.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (/.f64 0 0)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (/.f64 0 0)) (/.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (/.f64 0 0)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2) (/.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) x))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (neg.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 (pow.f64 x 3) 2)) (fma.f64 x x 0))
(*.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 0) 0)
(/.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(/.f64 1 (/.f64 (-.f64 (+.f64 (+.f64 x 1) (-.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2))))
(/.f64 1 (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (/.f64 0 0)))
(/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (/.f64 0 0))
(/.f64 (/.f64 0 0) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (-.f64 (+.f64 (+.f64 x 1) (-.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (neg.f64 (-.f64 (+.f64 (+.f64 x 1) (-.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (+.f64 (-.f64 1 x) (-.f64 (+.f64 x 1) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (*.f64 (/.f64 0 0) (-.f64 (+.f64 (+.f64 x 1) (-.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (-.f64 (+.f64 (+.f64 x 1) (-.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (neg.f64 (-.f64 (+.f64 (+.f64 x 1) (-.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))
(/.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 1) (/.f64 0 0))
(/.f64 (-.f64 (-.f64 1 x) (+.f64 x 1)) (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 2) x)
(pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2)
(neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 2))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(log.f64 (/.f64 1 (exp.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 3) (/.f64 0 0)))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 1))
(exp.f64 (-.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (log.f64 (/.f64 0 0))))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(fma.f64 1 (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 x 1)))
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (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 x 1)))
(+.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 -1 (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (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 x 1)) (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 x 1)) (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))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) 1)
(*.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 0 0) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 1)
(*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (/.f64 0 0))
(*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 2 (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 2 (*.f64 x (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2)) (/.f64 x (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(*.f64 (/.f64 2 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (/.f64 x (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (-.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (-.f64 1 x) 1/4)))
(*.f64 (/.f64 (/.f64 0 0) 1) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (/.f64 0 0) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (-.f64 (+.f64 (+.f64 x 1) (-.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))
(*.f64 (/.f64 (/.f64 0 0) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (-.f64 (+.f64 (+.f64 x 1) (-.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))
(*.f64 (/.f64 (/.f64 0 0) (/.f64 0 0)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) -1)
(pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2)
(neg.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 2))
(log.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(log.f64 (/.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))) (exp.f64 (sqrt.f64 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 3))
(cbrt.f64 (/.f64 (/.f64 0 0) (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 3)))
(expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 1))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) (neg.f64 (sqrt.f64 (-.f64 1 x))))

simplify82.0ms (1.5%)

Algorithm
egg-herbie
Rules
218×*-commutative
134×+-commutative
86×fma-define
84×associate-*r/
46×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05299794
116499794
Stop Event
unsound
Counts
188 → 255
Calls
Call 1
Inputs
(*.f64 1/8 (pow.f64 x 3))
(*.f64 7/128 (pow.f64 x 5))
(*.f64 7/128 (pow.f64 x 5))
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 x (+.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1))))
(+.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 x))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (sqrt.f64 -1)))) (*.f64 x (+.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1))))))
(+.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (+.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 x))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (sqrt.f64 -1)))) (*.f64 x (+.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1))))))))
(+.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (+.f64 (*.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)))) (+.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 x))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (sqrt.f64 -1)))) (*.f64 x (+.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1))))))))))
(*.f64 -1 (*.f64 x (+.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1)) (*.f64 (sqrt.f64 (/.f64 1 x)) (pow.f64 (sqrt.f64 -1) 2)))))
(+.f64 (*.f64 -1 (*.f64 x (+.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1)) (*.f64 (sqrt.f64 (/.f64 1 x)) (pow.f64 (sqrt.f64 -1) 2))))) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (sqrt.f64 x)) (*.f64 1/2 (*.f64 (sqrt.f64 x) (sqrt.f64 -1)))) x)))
(+.f64 (*.f64 -1 (*.f64 x (+.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1)) (*.f64 (sqrt.f64 (/.f64 1 x)) (pow.f64 (sqrt.f64 -1) 2))))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (pow.f64 x 3)) (sqrt.f64 -1))) (*.f64 -1/8 (*.f64 (sqrt.f64 (pow.f64 x 3)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))))) (pow.f64 x 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (sqrt.f64 x)) (*.f64 1/2 (*.f64 (sqrt.f64 x) (sqrt.f64 -1)))) x))))
(+.f64 (*.f64 -1 (*.f64 x (+.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1)) (*.f64 (sqrt.f64 (/.f64 1 x)) (pow.f64 (sqrt.f64 -1) 2))))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (pow.f64 x 3)) (sqrt.f64 -1))) (*.f64 -1/8 (*.f64 (sqrt.f64 (pow.f64 x 3)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (pow.f64 x 5)) (sqrt.f64 -1))) (*.f64 1/16 (*.f64 (sqrt.f64 (pow.f64 x 5)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 4))))) (pow.f64 x 5))) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (sqrt.f64 x)) (*.f64 1/2 (*.f64 (sqrt.f64 x) (sqrt.f64 -1)))) x)))))
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)))))
(/.f64 2 (+.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1))))
(+.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 1/2 (sqrt.f64 x)) (*.f64 1/2 (*.f64 (sqrt.f64 x) (/.f64 1 (sqrt.f64 -1))))) (*.f64 (pow.f64 x 2) (pow.f64 (+.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1))) 2)))) (*.f64 2 (/.f64 1 (+.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1))))))
(+.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 1/2 (sqrt.f64 x)) (*.f64 1/2 (*.f64 (sqrt.f64 x) (/.f64 1 (sqrt.f64 -1))))) (*.f64 (pow.f64 x 2) (pow.f64 (+.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1))) 2)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 (+.f64 (*.f64 1/2 (sqrt.f64 x)) (*.f64 1/2 (*.f64 (sqrt.f64 x) (/.f64 1 (sqrt.f64 -1))))) 2) (pow.f64 (+.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1))) 3))) (*.f64 2 (/.f64 (+.f64 (*.f64 -1/8 (sqrt.f64 (pow.f64 x 3))) (*.f64 -1/8 (*.f64 (sqrt.f64 (pow.f64 x 3)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (pow.f64 (+.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1))) 2)))) (pow.f64 x 4))) (*.f64 2 (/.f64 1 (+.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1)))))))
(+.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 1/2 (sqrt.f64 x)) (*.f64 1/2 (*.f64 (sqrt.f64 x) (/.f64 1 (sqrt.f64 -1))))) (*.f64 (pow.f64 x 2) (pow.f64 (+.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1))) 2)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 (*.f64 -1/8 (sqrt.f64 (pow.f64 x 3))) (*.f64 -1/8 (*.f64 (sqrt.f64 (pow.f64 x 3)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (+.f64 (*.f64 1/2 (sqrt.f64 x)) (*.f64 1/2 (*.f64 (sqrt.f64 x) (/.f64 1 (sqrt.f64 -1)))))) (pow.f64 (+.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1))) 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 (+.f64 (*.f64 1/2 (sqrt.f64 x)) (*.f64 1/2 (*.f64 (sqrt.f64 x) (/.f64 1 (sqrt.f64 -1))))) 2) (pow.f64 (+.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1))) 3))) (*.f64 2 (/.f64 (+.f64 (*.f64 -1/8 (sqrt.f64 (pow.f64 x 3))) (*.f64 -1/8 (*.f64 (sqrt.f64 (pow.f64 x 3)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (pow.f64 (+.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1))) 2)))) (+.f64 (*.f64 1/2 (sqrt.f64 x)) (*.f64 1/2 (*.f64 (sqrt.f64 x) (/.f64 1 (sqrt.f64 -1)))))) (+.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1))))) (*.f64 2 (/.f64 (+.f64 (*.f64 1/16 (sqrt.f64 (pow.f64 x 5))) (*.f64 1/16 (*.f64 (sqrt.f64 (pow.f64 x 5)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 5))))) (pow.f64 (+.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1))) 2))))) (pow.f64 x 6))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 (+.f64 (*.f64 1/2 (sqrt.f64 x)) (*.f64 1/2 (*.f64 (sqrt.f64 x) (/.f64 1 (sqrt.f64 -1))))) 2) (pow.f64 (+.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1))) 3))) (*.f64 2 (/.f64 (+.f64 (*.f64 -1/8 (sqrt.f64 (pow.f64 x 3))) (*.f64 -1/8 (*.f64 (sqrt.f64 (pow.f64 x 3)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (pow.f64 (+.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1))) 2)))) (pow.f64 x 4))) (*.f64 2 (/.f64 1 (+.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1))))))))
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(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2)
(neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 2))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(log.f64 (/.f64 1 (exp.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 3) (/.f64 0 0)))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 1))
(exp.f64 (-.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (log.f64 (/.f64 0 0))))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(fma.f64 1 (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 x 1)))
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (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 x 1)))
(+.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 -1 (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (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 x 1)) (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 x 1)) (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))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) 1)
(*.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 0 0) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 1)
(*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (/.f64 0 0))
(*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 2 (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 2 (*.f64 x (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2)) (/.f64 x (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(*.f64 (/.f64 2 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (/.f64 x (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (-.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (-.f64 1 x) 1/4)))
(*.f64 (/.f64 (/.f64 0 0) 1) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (/.f64 0 0) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (-.f64 (+.f64 (+.f64 x 1) (-.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))
(*.f64 (/.f64 (/.f64 0 0) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (-.f64 (+.f64 (+.f64 x 1) (-.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))
(*.f64 (/.f64 (/.f64 0 0) (/.f64 0 0)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) -1)
(pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2)
(neg.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 2))
(log.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(log.f64 (/.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))) (exp.f64 (sqrt.f64 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 3))
(cbrt.f64 (/.f64 (/.f64 0 0) (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 3)))
(expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 1))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) (neg.f64 (sqrt.f64 (-.f64 1 x))))
Outputs
(*.f64 1/8 (pow.f64 x 3))
(*.f64 1/8 (pow.f64 x -2))
(*.f64 7/128 (pow.f64 x 5))
(*.f64 7/128 (pow.f64 x 5))
2
-2
(+.f64 2 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 (*.f64 (pow.f64 x -2) -1/4) -2)
(+.f64 2 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 -5/64 (pow.f64 x 4))))
(+.f64 (fma.f64 -1/4 (pow.f64 x -2) (*.f64 -5/64 (pow.f64 x 4))) -2)
(+.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 (fma.f64 -1/4 (pow.f64 x -2) (fma.f64 -5/64 (pow.f64 x 4) (*.f64 -21/512 (pow.f64 x 6)))) -2)
(*.f64 x (+.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1))))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 -2 x)) (*.f64 -2 (sqrt.f64 (/.f64 -2 x)))))
(+.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 x))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (sqrt.f64 -1)))) (*.f64 x (+.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1))))))
(fma.f64 -2 (sqrt.f64 (/.f64 -2 x)) (fma.f64 -2 (*.f64 -2 (sqrt.f64 (/.f64 -2 x))) (*.f64 x (+.f64 (sqrt.f64 (/.f64 -2 x)) (*.f64 -2 (sqrt.f64 (/.f64 -2 x)))))))
(+.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (+.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 x))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (sqrt.f64 -1)))) (*.f64 x (+.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1))))))))
(fma.f64 -1/8 (sqrt.f64 (/.f64 -2 (pow.f64 x -2))) (fma.f64 -1/8 (*.f64 -2 (sqrt.f64 (/.f64 -2 (pow.f64 x -2)))) (fma.f64 -2 (sqrt.f64 (/.f64 -2 x)) (fma.f64 -2 (*.f64 -2 (sqrt.f64 (/.f64 -2 x))) (*.f64 x (+.f64 (sqrt.f64 (/.f64 -2 x)) (*.f64 -2 (sqrt.f64 (/.f64 -2 x)))))))))
(+.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (+.f64 (*.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)))) (+.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 x))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (sqrt.f64 -1)))) (*.f64 x (+.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1))))))))))
(fma.f64 -1/8 (sqrt.f64 (/.f64 -2 (pow.f64 x -2))) (fma.f64 -1/8 (*.f64 -2 (sqrt.f64 (/.f64 -2 (pow.f64 x -2)))) (fma.f64 1/16 (sqrt.f64 (/.f64 -2 (pow.f64 x 5))) (fma.f64 1/16 (*.f64 -2 (sqrt.f64 (/.f64 -2 (pow.f64 x 5)))) (fma.f64 -2 (sqrt.f64 (/.f64 -2 x)) (fma.f64 -2 (*.f64 -2 (sqrt.f64 (/.f64 -2 x))) (*.f64 x (+.f64 (sqrt.f64 (/.f64 -2 x)) (*.f64 -2 (sqrt.f64 (/.f64 -2 x)))))))))))
(*.f64 -1 (*.f64 x (+.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1)) (*.f64 (sqrt.f64 (/.f64 1 x)) (pow.f64 (sqrt.f64 -1) 2)))))
(neg.f64 (*.f64 x (*.f64 -2 (sqrt.f64 (/.f64 -2 x)))))
(+.f64 (*.f64 -1 (*.f64 x (+.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1)) (*.f64 (sqrt.f64 (/.f64 1 x)) (pow.f64 (sqrt.f64 -1) 2))))) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (sqrt.f64 x)) (*.f64 1/2 (*.f64 (sqrt.f64 x) (sqrt.f64 -1)))) x)))
(*.f64 -2 (+.f64 (*.f64 x (*.f64 -2 (sqrt.f64 (/.f64 -2 x)))) (/.f64 (*.f64 -2 (+.f64 (sqrt.f64 x) (*.f64 -2 (sqrt.f64 x)))) x)))
(+.f64 (*.f64 -1 (*.f64 x (+.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1)) (*.f64 (sqrt.f64 (/.f64 1 x)) (pow.f64 (sqrt.f64 -1) 2))))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (pow.f64 x 3)) (sqrt.f64 -1))) (*.f64 -1/8 (*.f64 (sqrt.f64 (pow.f64 x 3)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))))) (pow.f64 x 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (sqrt.f64 x)) (*.f64 1/2 (*.f64 (sqrt.f64 x) (sqrt.f64 -1)))) x))))
(fma.f64 -2 (*.f64 x (*.f64 -2 (sqrt.f64 (/.f64 -2 x)))) (*.f64 -2 (+.f64 (/.f64 (*.f64 -1/8 (+.f64 (*.f64 -2 (sqrt.f64 (pow.f64 x -2))) (*.f64 -2 (sqrt.f64 (pow.f64 x -2))))) (pow.f64 x -2)) (/.f64 (*.f64 -2 (+.f64 (sqrt.f64 x) (*.f64 -2 (sqrt.f64 x)))) x))))
(+.f64 (*.f64 -1 (*.f64 x (+.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1)) (*.f64 (sqrt.f64 (/.f64 1 x)) (pow.f64 (sqrt.f64 -1) 2))))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (pow.f64 x 3)) (sqrt.f64 -1))) (*.f64 -1/8 (*.f64 (sqrt.f64 (pow.f64 x 3)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (pow.f64 x 5)) (sqrt.f64 -1))) (*.f64 1/16 (*.f64 (sqrt.f64 (pow.f64 x 5)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 4))))) (pow.f64 x 5))) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (sqrt.f64 x)) (*.f64 1/2 (*.f64 (sqrt.f64 x) (sqrt.f64 -1)))) x)))))
(fma.f64 -2 (*.f64 x (*.f64 -2 (sqrt.f64 (/.f64 -2 x)))) (fma.f64 -2 (/.f64 (*.f64 -1/8 (+.f64 (*.f64 -2 (sqrt.f64 (pow.f64 x -2))) (*.f64 -2 (sqrt.f64 (pow.f64 x -2))))) (pow.f64 x -2)) (fma.f64 -2 (/.f64 (*.f64 1/16 (+.f64 (*.f64 -2 (sqrt.f64 (pow.f64 x 5))) (*.f64 -2 (sqrt.f64 (pow.f64 x 5))))) (pow.f64 x 5)) (neg.f64 (/.f64 (*.f64 -2 (+.f64 (sqrt.f64 x) (*.f64 -2 (sqrt.f64 x)))) x)))))
x
(+.f64 x (*.f64 1/8 (pow.f64 x 3)))
(+.f64 x (*.f64 1/8 (pow.f64 x -2)))
(+.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 -2))))
(+.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 -2)))))
(/.f64 2 (+.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1))))
(/.f64 -2 (+.f64 (sqrt.f64 (/.f64 -2 x)) (*.f64 -2 (sqrt.f64 (/.f64 -2 x)))))
(+.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 1/2 (sqrt.f64 x)) (*.f64 1/2 (*.f64 (sqrt.f64 x) (/.f64 1 (sqrt.f64 -1))))) (*.f64 (pow.f64 x 2) (pow.f64 (+.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1))) 2)))) (*.f64 2 (/.f64 1 (+.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1))))))
(fma.f64 -2 (/.f64 (*.f64 -2 (+.f64 (sqrt.f64 x) (*.f64 -2 (sqrt.f64 x)))) (*.f64 (pow.f64 x -2) (pow.f64 (+.f64 (sqrt.f64 (/.f64 -2 x)) (*.f64 -2 (sqrt.f64 (/.f64 -2 x)))) -2))) (/.f64 -2 (+.f64 (sqrt.f64 (/.f64 -2 x)) (*.f64 -2 (sqrt.f64 (/.f64 -2 x))))))
(+.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 1/2 (sqrt.f64 x)) (*.f64 1/2 (*.f64 (sqrt.f64 x) (/.f64 1 (sqrt.f64 -1))))) (*.f64 (pow.f64 x 2) (pow.f64 (+.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1))) 2)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 (+.f64 (*.f64 1/2 (sqrt.f64 x)) (*.f64 1/2 (*.f64 (sqrt.f64 x) (/.f64 1 (sqrt.f64 -1))))) 2) (pow.f64 (+.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1))) 3))) (*.f64 2 (/.f64 (+.f64 (*.f64 -1/8 (sqrt.f64 (pow.f64 x 3))) (*.f64 -1/8 (*.f64 (sqrt.f64 (pow.f64 x 3)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (pow.f64 (+.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1))) 2)))) (pow.f64 x 4))) (*.f64 2 (/.f64 1 (+.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1)))))))
(fma.f64 -2 (/.f64 (*.f64 -2 (+.f64 (sqrt.f64 x) (*.f64 -2 (sqrt.f64 x)))) (*.f64 (pow.f64 x -2) (pow.f64 (+.f64 (sqrt.f64 (/.f64 -2 x)) (*.f64 -2 (sqrt.f64 (/.f64 -2 x)))) -2))) (fma.f64 -2 (/.f64 (fma.f64 -2 (/.f64 (pow.f64 (*.f64 -2 (+.f64 (sqrt.f64 x) (*.f64 -2 (sqrt.f64 x)))) -2) (pow.f64 (+.f64 (sqrt.f64 (/.f64 -2 x)) (*.f64 -2 (sqrt.f64 (/.f64 -2 x)))) -2)) (/.f64 (*.f64 -2 (*.f64 -1/8 (+.f64 (sqrt.f64 (pow.f64 x -2)) (*.f64 -2 (sqrt.f64 (pow.f64 x -2)))))) (pow.f64 (+.f64 (sqrt.f64 (/.f64 -2 x)) (*.f64 -2 (sqrt.f64 (/.f64 -2 x)))) -2))) (pow.f64 x 4)) (/.f64 -2 (+.f64 (sqrt.f64 (/.f64 -2 x)) (*.f64 -2 (sqrt.f64 (/.f64 -2 x)))))))
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(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
-2
(log.f64 (/.f64 1 (exp.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
-2
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 3))
-2
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 3) (/.f64 0 0)))
-2
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
-2
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
-2
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
-2
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 1))
-2
(exp.f64 (-.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (log.f64 (/.f64 0 0))))
-2
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(fma.f64 -2 (sqrt.f64 (+.f64 x -2)) (sqrt.f64 (-.f64 -2 x)))
(fma.f64 1 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1)))
(-.f64 (sqrt.f64 (+.f64 x -2)) (sqrt.f64 (-.f64 -2 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 -2 x)) (cbrt.f64 (sqrt.f64 (-.f64 -2 x))) (sqrt.f64 (+.f64 x -2)))
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (-.f64 1 x)))
(fma.f64 (cbrt.f64 (+.f64 x -2)) (cbrt.f64 (sqrt.f64 (+.f64 x -2))) (sqrt.f64 (-.f64 -2 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 x -2) 1/4) (pow.f64 (+.f64 x -2) 1/4) (sqrt.f64 (-.f64 -2 x)))
(fma.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (+.f64 x 1)))
(fma.f64 (pow.f64 (-.f64 -2 x) 1/4) (pow.f64 (-.f64 -2 x) 1/4) (sqrt.f64 (+.f64 x -2)))
(+.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(-.f64 (sqrt.f64 (+.f64 x -2)) (sqrt.f64 (-.f64 -2 x)))
(+.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 -1 (sqrt.f64 (-.f64 1 x))))
(-.f64 (sqrt.f64 (+.f64 x -2)) (sqrt.f64 (-.f64 -2 x)))
(+.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x -2)) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 -2 x))) (neg.f64 (cbrt.f64 (-.f64 -2 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4)))
(+.f64 (sqrt.f64 (+.f64 x -2)) (neg.f64 (*.f64 (pow.f64 (-.f64 -2 x) 1/4) (pow.f64 (-.f64 -2 x) 1/4))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (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 x -2)) (sqrt.f64 (-.f64 -2 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 -2 x))) -2 (sqrt.f64 (-.f64 -2 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (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 x -2)) (sqrt.f64 (-.f64 -2 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 -2 x)))) (cbrt.f64 (-.f64 -2 x)) (sqrt.f64 (-.f64 -2 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (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))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x -2)) (sqrt.f64 (-.f64 -2 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 -2 x) 1/4)) (pow.f64 (-.f64 -2 x) 1/4) (sqrt.f64 (-.f64 -2 x))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(-.f64 (sqrt.f64 (+.f64 x -2)) (sqrt.f64 (-.f64 -2 x)))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) 1)
(expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x -2)) (sqrt.f64 (-.f64 -2 x)))))
(*.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(-.f64 (sqrt.f64 (+.f64 x -2)) (sqrt.f64 (-.f64 -2 x)))
(*.f64 (/.f64 0 0) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(-.f64 (sqrt.f64 (+.f64 x -2)) (sqrt.f64 (-.f64 -2 x)))
(*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 1)
(-.f64 (sqrt.f64 (+.f64 x -2)) (sqrt.f64 (-.f64 -2 x)))
(*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (/.f64 0 0))
(-.f64 (sqrt.f64 (+.f64 x -2)) (sqrt.f64 (-.f64 -2 x)))
(*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2))
(-.f64 (sqrt.f64 (+.f64 x -2)) (sqrt.f64 (-.f64 -2 x)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(-.f64 (sqrt.f64 (+.f64 x -2)) (sqrt.f64 (-.f64 -2 x)))
(*.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(-.f64 (sqrt.f64 (+.f64 x -2)) (sqrt.f64 (-.f64 -2 x)))
(*.f64 2 (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 -2 (/.f64 x -2))
(*.f64 2 (*.f64 x (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (*.f64 -2 x) (-.f64 (sqrt.f64 (+.f64 x -2)) (sqrt.f64 (-.f64 -2 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(-.f64 (sqrt.f64 (+.f64 x -2)) (sqrt.f64 (-.f64 -2 x)))
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2)) (/.f64 x (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(*.f64 -2 (/.f64 x -2))
(*.f64 (/.f64 2 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (/.f64 x (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(*.f64 -2 (/.f64 x -2))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (-.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (-.f64 1 x) 1/4)))
(*.f64 (+.f64 (pow.f64 (+.f64 x -2) 1/4) (pow.f64 (-.f64 -2 x) 1/4)) (-.f64 (pow.f64 (+.f64 x -2) 1/4) (pow.f64 (-.f64 -2 x) 1/4)))
(*.f64 (/.f64 (/.f64 0 0) 1) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(-.f64 (sqrt.f64 (+.f64 x -2)) (sqrt.f64 (-.f64 -2 x)))
(*.f64 (/.f64 (/.f64 0 0) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(-.f64 (sqrt.f64 (+.f64 x -2)) (sqrt.f64 (-.f64 -2 x)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (-.f64 (+.f64 (+.f64 x 1) (-.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))
(/.f64 (neg.f64 (+.f64 (+.f64 x -2) (-.f64 (-.f64 -2 x) (sqrt.f64 (*.f64 (+.f64 x -2) (-.f64 -2 x)))))) (+.f64 (pow.f64 (+.f64 x -2) 3/2) (pow.f64 (-.f64 -2 x) 3/2)))
(*.f64 (/.f64 (/.f64 0 0) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (-.f64 (+.f64 (+.f64 x 1) (-.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))
(/.f64 (neg.f64 (+.f64 (+.f64 x -2) (-.f64 (-.f64 -2 x) (sqrt.f64 (*.f64 (+.f64 x -2) (-.f64 -2 x)))))) (+.f64 (pow.f64 (+.f64 x -2) 3/2) (pow.f64 (-.f64 -2 x) 3/2)))
(*.f64 (/.f64 (/.f64 0 0) (/.f64 0 0)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(-.f64 (sqrt.f64 (+.f64 x -2)) (sqrt.f64 (-.f64 -2 x)))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) -1)
-2
(pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 1)
(-.f64 (sqrt.f64 (+.f64 x -2)) (sqrt.f64 (-.f64 -2 x)))
(pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 3)
(-.f64 (sqrt.f64 (+.f64 x -2)) (sqrt.f64 (-.f64 -2 x)))
(pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 3) 1/3)
(-.f64 (sqrt.f64 (+.f64 x -2)) (sqrt.f64 (-.f64 -2 x)))
(pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2)
(-.f64 (sqrt.f64 (+.f64 x -2)) (sqrt.f64 (-.f64 -2 x)))
(neg.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(-.f64 (sqrt.f64 (+.f64 x -2)) (sqrt.f64 (-.f64 -2 x)))
(sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 2))
(sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x -2)) (sqrt.f64 (-.f64 -2 x))))
(log.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(-.f64 (sqrt.f64 (+.f64 x -2)) (sqrt.f64 (-.f64 -2 x)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (sqrt.f64 (+.f64 x -2)) (sqrt.f64 (-.f64 -2 x)))
(log.f64 (/.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))) (exp.f64 (sqrt.f64 (-.f64 1 x)))))
(-.f64 (sqrt.f64 (+.f64 x -2)) (sqrt.f64 (-.f64 -2 x)))
(cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 3))
(-.f64 (sqrt.f64 (+.f64 x -2)) (sqrt.f64 (-.f64 -2 x)))
(cbrt.f64 (/.f64 (/.f64 0 0) (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 3)))
-2
(expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x -2)) (sqrt.f64 (-.f64 -2 x)))))
(log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(-.f64 (sqrt.f64 (+.f64 x -2)) (sqrt.f64 (-.f64 -2 x)))
(exp.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(-.f64 (sqrt.f64 (+.f64 x -2)) (sqrt.f64 (-.f64 -2 x)))
(exp.f64 (*.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 1))
(-.f64 (sqrt.f64 (+.f64 x -2)) (sqrt.f64 (-.f64 -2 x)))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 (-.f64 1 x))))
-2
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (+.f64 x -2)) (cbrt.f64 (sqrt.f64 (+.f64 x -2))) (neg.f64 (sqrt.f64 (-.f64 -2 x))))
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (+.f64 x -2) 1/4) (pow.f64 (+.f64 x -2) 1/4) (neg.f64 (sqrt.f64 (-.f64 -2 x))))

eval641.0ms (11.4%)

Compiler

Compiled 12612 to 9602 computations (23.9% saved)

prune157.0ms (2.8%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New4921493
Fresh000
Picked044
Done011
Total4926498
Accuracy
100.0%
Counts
498 → 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))))
99.5%
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 -1/4 (pow.f64 x 2))))
9.1%
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
99.8%
(+.f64 x (+.f64 (*.f64 7/128 (pow.f64 x 5)) (*.f64 1/8 (pow.f64 x 3))))
99.5%
(+.f64 x (*.f64 1/8 (pow.f64 x 3)))
98.9%
x
Compiler

Compiled 60 to 45 computations (25% saved)

localize48.0ms (0.9%)

Localize:

Found 3 expressions with local error:

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

Compiled 34 to 24 computations (29.4% saved)

series8.0ms (0.1%)

Counts
3 → 12
Calls

9 calls:

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

rewrite95.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
916×prod-diff
738×log1p-expm1-u
738×expm1-log1p-u
716×log-prod
404×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01263
115656
2242856
Stop Event
node limit
Counts
3 → 103
Calls
Call 1
Inputs
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 -1/4 (pow.f64 x 2))))
(pow.f64 x 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 (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 (/.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 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 (/.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)) (log.f64 (exp.f64 1)))
(*.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 (/.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 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 (/.f64 0 0) 1) (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 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 (/.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 (/.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)
(pow.f64 (*.f64 (fma.f64 -1/4 (pow.f64 x 2) 2) (/.f64 0 0)) -1)
(pow.f64 (/.f64 (*.f64 (fma.f64 -1/4 (pow.f64 x 2) 2) (/.f64 0 0)) 1) -1)
(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 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2))) 1))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 0 0) (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 0 0) (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2)))) 2))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 -1/4 (pow.f64 x 2) 2) (/.f64 0 0))) -1))
(+.f64 (pow.f64 x 2) 0)
(+.f64 0 (pow.f64 x 2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 x 2))) (cbrt.f64 (exp.f64 (pow.f64 x 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 2)))))
(-.f64 (pow.f64 x 2) 0)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x 2))) 1)
(-.f64 (fma.f64 x x (pow.f64 x 2)) (pow.f64 x 2))
(*.f64 x x)
(*.f64 (pow.f64 x 2) 1)
(*.f64 (pow.f64 x 2) (log.f64 (exp.f64 1)))
(*.f64 1 (pow.f64 x 2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) x))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x))
(*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (+.f64 (pow.f64 (pow.f64 x 2) 3) 0) (+.f64 (pow.f64 x 4) 0))
(/.f64 (+.f64 (pow.f64 x 4) 0) (pow.f64 x 2))
(sqrt.f64 (pow.f64 x 4))
(log.f64 (exp.f64 (pow.f64 x 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x 2))))
(cbrt.f64 (pow.f64 (pow.f64 x 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 x 2)))
(log1p.f64 (expm1.f64 (pow.f64 x 2)))
(exp.f64 (*.f64 2 (log.f64 x)))
(exp.f64 (*.f64 (*.f64 2 (log.f64 x)) 1))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 x))) 3))
(exp.f64 (*.f64 (*.f64 3 (*.f64 2 (log.f64 x))) 1/3))
(fma.f64 x x 0)
(fma.f64 (pow.f64 x 2) 1 0)
(fma.f64 1 (pow.f64 x 2) 0)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)) 0)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) x) 0)
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) 0)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x) 0)
(fma.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x) 0)
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 0)
(+.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 (log.f64 (*.f64 -1/4 (pow.f64 x 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 -1/4 (pow.f64 x 2))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 -1/4 (pow.f64 x 2)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 -1/4 (pow.f64 x 2)))) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 -1/4))) 2))

simplify33.0ms (0.6%)

Algorithm
egg-herbie
Rules
100×*-commutative
44×+-commutative
32×associate-*r/
28×fma-undefine
26×exp-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02823404
16643404
Stop Event
unsound
Counts
115 → 144
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 0 (/.f64 (/.f64 0 0) (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 (/.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 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 (/.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)) (log.f64 (exp.f64 1)))
(*.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 (/.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 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 (/.f64 0 0) 1) (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 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 (/.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 (/.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)
(pow.f64 (*.f64 (fma.f64 -1/4 (pow.f64 x 2) 2) (/.f64 0 0)) -1)
(pow.f64 (/.f64 (*.f64 (fma.f64 -1/4 (pow.f64 x 2) 2) (/.f64 0 0)) 1) -1)
(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 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2))) 1))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 0 0) (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 0 0) (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2)))) 2))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 -1/4 (pow.f64 x 2) 2) (/.f64 0 0))) -1))
(+.f64 (pow.f64 x 2) 0)
(+.f64 0 (pow.f64 x 2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 x 2))) (cbrt.f64 (exp.f64 (pow.f64 x 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 2)))))
(-.f64 (pow.f64 x 2) 0)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x 2))) 1)
(-.f64 (fma.f64 x x (pow.f64 x 2)) (pow.f64 x 2))
(*.f64 x x)
(*.f64 (pow.f64 x 2) 1)
(*.f64 (pow.f64 x 2) (log.f64 (exp.f64 1)))
(*.f64 1 (pow.f64 x 2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) x))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x))
(*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (+.f64 (pow.f64 (pow.f64 x 2) 3) 0) (+.f64 (pow.f64 x 4) 0))
(/.f64 (+.f64 (pow.f64 x 4) 0) (pow.f64 x 2))
(sqrt.f64 (pow.f64 x 4))
(log.f64 (exp.f64 (pow.f64 x 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x 2))))
(cbrt.f64 (pow.f64 (pow.f64 x 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 x 2)))
(log1p.f64 (expm1.f64 (pow.f64 x 2)))
(exp.f64 (*.f64 2 (log.f64 x)))
(exp.f64 (*.f64 (*.f64 2 (log.f64 x)) 1))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 x))) 3))
(exp.f64 (*.f64 (*.f64 3 (*.f64 2 (log.f64 x))) 1/3))
(fma.f64 x x 0)
(fma.f64 (pow.f64 x 2) 1 0)
(fma.f64 1 (pow.f64 x 2) 0)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)) 0)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) x) 0)
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) 0)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x) 0)
(fma.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x) 0)
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 0)
(+.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 (log.f64 (*.f64 -1/4 (pow.f64 x 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 -1/4 (pow.f64 x 2))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 -1/4 (pow.f64 x 2)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 -1/4 (pow.f64 x 2)))) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 -1/4))) 2))
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 -1 x) (/.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 -1 (pow.f64 x 3)) (+.f64 (/.f64 -1 x) (/.f64 -1 (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 -1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (pow.f64 x 5)) (+.f64 (/.f64 -1 x) (/.f64 -1 (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 -1 x) (/.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 -1 (pow.f64 x 3)) (+.f64 (/.f64 -1 x) (/.f64 -1 (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 -1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (pow.f64 x 5)) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 7))))))
(+.f64 0 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)))
(/.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 (*.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (fma.f64 -1/4 (pow.f64 x 2) 2)))) (cbrt.f64 (exp.f64 (/.f64 -1 (fma.f64 -1/4 (pow.f64 x 2) 2)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (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 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (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 (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 -1 (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 -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 -1 (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 2 (*.f64 x (/.f64 -1 (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 -1 (fma.f64 -1/4 (pow.f64 x 2) 2))
(*.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)) (log.f64 (exp.f64 1)))
(/.f64 -1 (fma.f64 -1/4 (pow.f64 x 2) 2))
(*.f64 1 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)))
(/.f64 -1 (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))
(pow.f64 (/.f64 -1 (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))) 3)
(*.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))))
(pow.f64 (/.f64 -1 (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))) 3)
(*.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))))
(pow.f64 (/.f64 -1 (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))) 2)
(*.f64 (/.f64 1 (fma.f64 -1/4 (pow.f64 x 2) 2)) (/.f64 0 0))
(/.f64 -1 (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 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 (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))) (/.f64 -1 (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))))
(pow.f64 (/.f64 -1 (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))) 2)
(*.f64 (/.f64 (/.f64 0 0) 1) (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)))
(/.f64 -1 (fma.f64 -1/4 (pow.f64 x 2) 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 (/.f64 -1 (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))) (/.f64 -1 (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 (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))))
(*.f64 (/.f64 -1 (-.f64 4 (*.f64 (pow.f64 x 4) 1/16))) (+.f64 2 (*.f64 (pow.f64 x 2) 1/4)))
(pow.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)) 1)
(/.f64 -1 (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))) 3)
(pow.f64 (/.f64 -1 (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)
(/.f64 -1 (fma.f64 -1/4 (pow.f64 x 2) 2))
(pow.f64 (/.f64 (/.f64 0 0) (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))) 2)
(pow.f64 (/.f64 -1 (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))) 2)
(pow.f64 (*.f64 (fma.f64 -1/4 (pow.f64 x 2) 2) (/.f64 0 0)) -1)
(/.f64 -1 (fma.f64 -1/4 (pow.f64 x 2) 2))
(pow.f64 (/.f64 (*.f64 (fma.f64 -1/4 (pow.f64 x 2) 2) (/.f64 0 0)) 1) -1)
(/.f64 -1 (fma.f64 -1/4 (pow.f64 x 2) 2))
(neg.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)))
(/.f64 -1 (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)))
(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))))
(/.f64 -1 (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)))))
(/.f64 -1 (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)))))
(/.f64 -1 (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))))))
(/.f64 -1 (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))
(/.f64 -1 (fma.f64 -1/4 (pow.f64 x 2) 2))
(cbrt.f64 (/.f64 (/.f64 0 0) (pow.f64 (fma.f64 -1/4 (pow.f64 x 2) 2) 3)))
(/.f64 -1 (fma.f64 -1/4 (pow.f64 x 2) 2))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2))))
(/.f64 -1 (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))))
(/.f64 -1 (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))))
(/.f64 -1 (fma.f64 -1/4 (pow.f64 x 2) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2))) 1))
(/.f64 -1 (fma.f64 -1/4 (pow.f64 x 2) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 0 0) (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2)))) 3))
(pow.f64 (/.f64 -1 (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))) 3)
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)) 3)) 1/3))
(/.f64 -1 (fma.f64 -1/4 (pow.f64 x 2) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 0 0) (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2)))) 2))
(pow.f64 (/.f64 -1 (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))) 2)
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 -1/4 (pow.f64 x 2) 2) (/.f64 0 0))) -1))
(/.f64 -1 (fma.f64 -1/4 (pow.f64 x 2) 2))
(+.f64 (pow.f64 x 2) 0)
(pow.f64 x 2)
(+.f64 0 (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 x 2))) (cbrt.f64 (exp.f64 (pow.f64 x 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 2)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 2)))))
(-.f64 (pow.f64 x 2) 0)
(pow.f64 x 2)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x 2))) 1)
(expm1.f64 (log.f64 (pow.f64 x 2)))
(-.f64 (fma.f64 x x (pow.f64 x 2)) (pow.f64 x 2))
(*.f64 x x)
(pow.f64 x 2)
(*.f64 (pow.f64 x 2) 1)
(pow.f64 x 2)
(*.f64 (pow.f64 x 2) (log.f64 (exp.f64 1)))
(pow.f64 x 2)
(*.f64 1 (pow.f64 x 2))
(pow.f64 x 2)
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) x))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x (cbrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x))
(*.f64 x (*.f64 (sqrt.f64 x) (sqrt.f64 x)))
(*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 x (*.f64 (sqrt.f64 x) (sqrt.f64 x)))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (*.f64 x (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (+.f64 (pow.f64 (pow.f64 x 2) 3) 0) (+.f64 (pow.f64 x 4) 0))
(/.f64 (pow.f64 (pow.f64 x 2) 3) (pow.f64 x 4))
(/.f64 (+.f64 (pow.f64 x 4) 0) (pow.f64 x 2))
(/.f64 (pow.f64 x 4) (pow.f64 x 2))
(sqrt.f64 (pow.f64 x 4))
(log.f64 (exp.f64 (pow.f64 x 2)))
(pow.f64 x 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x 2))))
(pow.f64 x 2)
(cbrt.f64 (pow.f64 (pow.f64 x 2) 3))
(pow.f64 x 2)
(expm1.f64 (log1p.f64 (pow.f64 x 2)))
(expm1.f64 (log.f64 (pow.f64 x 2)))
(log1p.f64 (expm1.f64 (pow.f64 x 2)))
(pow.f64 x 2)
(exp.f64 (*.f64 2 (log.f64 x)))
(pow.f64 (exp.f64 2) (log.f64 x))
(exp.f64 (*.f64 (*.f64 2 (log.f64 x)) 1))
(pow.f64 (exp.f64 2) (log.f64 x))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 x))) 3))
(pow.f64 (exp.f64 (*.f64 2 (log.f64 (cbrt.f64 x)))) 3)
(exp.f64 (*.f64 (*.f64 3 (*.f64 2 (log.f64 x))) 1/3))
(exp.f64 (*.f64 1/3 (*.f64 6 (log.f64 x))))
(fma.f64 x x 0)
(pow.f64 x 2)
(fma.f64 (pow.f64 x 2) 1 0)
(pow.f64 x 2)
(fma.f64 1 (pow.f64 x 2) 0)
(pow.f64 x 2)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)) 0)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)) -1)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) x) 0)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x (cbrt.f64 x)) -1)
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) 0)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)) -1)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x) 0)
(fma.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 x)) -1)
(fma.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x) 0)
(fma.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 x)) -1)
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 0)
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) -1)
(+.f64 0 (*.f64 -1/4 (pow.f64 x 2)))
(*.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 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)
(*.f64 -1/4 (pow.f64 x 2))
(pow.f64 (*.f64 -1/4 (pow.f64 x 2)) 1)
(*.f64 -1/4 (pow.f64 x 2))
(pow.f64 (cbrt.f64 (*.f64 -1/4 (pow.f64 x 2))) 3)
(*.f64 -1/4 (pow.f64 x 2))
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 2) 3) -1/64) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 2) 3) -1/64))
(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)))))
(*.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))))
(*.f64 -1/4 (pow.f64 x 2))
(log1p.f64 (expm1.f64 (*.f64 -1/4 (pow.f64 x 2))))
(*.f64 -1/4 (pow.f64 x 2))
(exp.f64 (log.f64 (*.f64 -1/4 (pow.f64 x 2))))
(*.f64 -1/4 (pow.f64 x 2))
(exp.f64 (*.f64 (log.f64 (*.f64 -1/4 (pow.f64 x 2))) 1))
(*.f64 -1/4 (pow.f64 x 2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 -1/4 (pow.f64 x 2)))) 3))
(*.f64 -1/4 (pow.f64 x 2))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 -1/4 (pow.f64 x 2)))) 1/3))
(exp.f64 (*.f64 3 (*.f64 (log.f64 (*.f64 -1/4 (pow.f64 x 2))) 1/3)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 -1/4))) 2))
(pow.f64 (*.f64 x (sqrt.f64 -1/4)) 2)

eval55.0ms (1%)

Compiler

Compiled 2253 to 1746 computations (22.5% saved)

prune18.0ms (0.3%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New1431144
Fresh000
Picked101
Done055
Total1446150
Accuracy
100.0%
Counts
150 → 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))))
99.5%
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 -1/4 (*.f64 x x))))
9.1%
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
99.8%
(+.f64 x (+.f64 (*.f64 7/128 (pow.f64 x 5)) (*.f64 1/8 (pow.f64 x 3))))
99.5%
(+.f64 x (*.f64 1/8 (pow.f64 x 3)))
98.9%
x
Compiler

Compiled 60 to 44 computations (26.7% saved)

localize38.0ms (0.7%)

Localize:

Found 2 expressions with local error:

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

Compiled 34 to 17 computations (50% saved)

series4.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 -1/4 (*.f64 x x))))
1.0ms
x
@inf
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 -1/4 (*.f64 x x))))
1.0ms
x
@-inf
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 -1/4 (*.f64 x x))))
1.0ms
x
@0
(*.f64 -1/4 (*.f64 x x))
0.0ms
x
@-inf
(*.f64 -1/4 (*.f64 x x))

rewrite91.0ms (1.6%)

Algorithm
batch-egg-rewrite
Rules
1002×prod-diff
757×log1p-expm1-u
757×expm1-log1p-u
750×log-prod
426×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01253
115546
2246546
Stop Event
node limit
Counts
2 → 65
Calls
Call 1
Inputs
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 -1/4 (*.f64 x x))))
(*.f64 -1/4 (*.f64 x x))
Outputs
(+.f64 0 (/.f64 (/.f64 0 0) (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 (/.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 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 (/.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)) (log.f64 (exp.f64 1)))
(*.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 (/.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 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 (/.f64 0 0) 1) (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 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 (/.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 (/.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)
(pow.f64 (*.f64 (fma.f64 -1/4 (pow.f64 x 2) 2) (/.f64 0 0)) -1)
(pow.f64 (/.f64 (*.f64 (fma.f64 -1/4 (pow.f64 x 2) 2) (/.f64 0 0)) 1) -1)
(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 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2))) 1))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 0 0) (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)))) 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 0 0) (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2)))) 2))
(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 (pow.f64 x 2)) -1/4)) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/4)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/4))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/4))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/4))))
(-.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 (pow.f64 (*.f64 -1/4 (pow.f64 x 2)) 3) 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 (pow.f64 x 2)) -1/4))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/4 (pow.f64 x 2)))))
(cbrt.f64 (pow.f64 (*.f64 -1/4 (pow.f64 x 2)) 3))
(expm1.f64 (log1p.f64 (*.f64 -1/4 (pow.f64 x 2))))
(log1p.f64 (expm1.f64 (*.f64 -1/4 (pow.f64 x 2))))
(exp.f64 (log.f64 (*.f64 -1/4 (pow.f64 x 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 -1/4 (pow.f64 x 2))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 -1/4 (pow.f64 x 2)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 -1/4 (pow.f64 x 2)))) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 -1/4))) 2))

simplify25.0ms (0.4%)

Algorithm
egg-herbie
Rules
70×*-commutative
36×associate-*r/
36×+-commutative
28×associate-*l/
18×exp-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02142715
15232715
Stop Event
unsound
Counts
89 → 92
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 -1/4 (pow.f64 x 2))
(*.f64 -1/4 (pow.f64 x 2))
(*.f64 -1/4 (pow.f64 x 2))
(*.f64 -1/4 (pow.f64 x 2))
(*.f64 -1/4 (pow.f64 x 2))
(*.f64 -1/4 (pow.f64 x 2))
(*.f64 -1/4 (pow.f64 x 2))
(*.f64 -1/4 (pow.f64 x 2))
(*.f64 -1/4 (pow.f64 x 2))
(*.f64 -1/4 (pow.f64 x 2))
(*.f64 -1/4 (pow.f64 x 2))
(*.f64 -1/4 (pow.f64 x 2))
(+.f64 0 (/.f64 (/.f64 0 0) (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 (/.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 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 (/.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)) (log.f64 (exp.f64 1)))
(*.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 (/.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 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 (/.f64 0 0) 1) (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 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 (/.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 (/.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)
(pow.f64 (*.f64 (fma.f64 -1/4 (pow.f64 x 2) 2) (/.f64 0 0)) -1)
(pow.f64 (/.f64 (*.f64 (fma.f64 -1/4 (pow.f64 x 2) 2) (/.f64 0 0)) 1) -1)
(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 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2))) 1))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 0 0) (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)))) 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 0 0) (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2)))) 2))
(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 (pow.f64 x 2)) -1/4)) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/4)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/4))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/4))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/4))))
(-.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 (pow.f64 (*.f64 -1/4 (pow.f64 x 2)) 3) 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 (pow.f64 x 2)) -1/4))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/4 (pow.f64 x 2)))))
(cbrt.f64 (pow.f64 (*.f64 -1/4 (pow.f64 x 2)) 3))
(expm1.f64 (log1p.f64 (*.f64 -1/4 (pow.f64 x 2))))
(log1p.f64 (expm1.f64 (*.f64 -1/4 (pow.f64 x 2))))
(exp.f64 (log.f64 (*.f64 -1/4 (pow.f64 x 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 -1/4 (pow.f64 x 2))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 -1/4 (pow.f64 x 2)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 -1/4 (pow.f64 x 2)))) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 -1/4))) 2))
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 -1/4 (pow.f64 x 2))
(*.f64 -1/4 (pow.f64 x 2))
(*.f64 -1/4 (pow.f64 x 2))
(*.f64 -1/4 (pow.f64 x 2))
(*.f64 -1/4 (pow.f64 x 2))
(*.f64 -1/4 (pow.f64 x 2))
(*.f64 -1/4 (pow.f64 x 2))
(*.f64 -1/4 (pow.f64 x 2))
(*.f64 -1/4 (pow.f64 x 2))
(*.f64 -1/4 (pow.f64 x 2))
(*.f64 -1/4 (pow.f64 x 2))
(*.f64 -1/4 (pow.f64 x 2))
(+.f64 0 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)))
(/.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 (*.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (fma.f64 -1/4 (pow.f64 x 2) 2)))) (cbrt.f64 (exp.f64 (/.f64 -1 (fma.f64 -1/4 (pow.f64 x 2) 2)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (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 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (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 (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 -1 (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 -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 -1 (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 2 (*.f64 x (/.f64 -1 (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 -1 (fma.f64 -1/4 (pow.f64 x 2) 2))
(*.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)) (log.f64 (exp.f64 1)))
(/.f64 -1 (fma.f64 -1/4 (pow.f64 x 2) 2))
(*.f64 1 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)))
(/.f64 -1 (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))
(pow.f64 (/.f64 -1 (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))) 3)
(*.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))))
(pow.f64 (/.f64 -1 (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))) 3)
(*.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))))
(pow.f64 (/.f64 -1 (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))) 2)
(*.f64 (/.f64 1 (fma.f64 -1/4 (pow.f64 x 2) 2)) (/.f64 0 0))
(/.f64 -1 (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 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 (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))) (/.f64 -1 (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))))
(pow.f64 (/.f64 -1 (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))) 2)
(*.f64 (/.f64 (/.f64 0 0) 1) (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)))
(/.f64 -1 (fma.f64 -1/4 (pow.f64 x 2) 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 (/.f64 -1 (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))) (/.f64 -1 (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 (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))))
(*.f64 (/.f64 -1 (-.f64 4 (*.f64 (pow.f64 x 4) 1/16))) (+.f64 2 (*.f64 (pow.f64 x 2) 1/4)))
(pow.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)) 1)
(/.f64 -1 (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))) 3)
(pow.f64 (/.f64 -1 (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)
(/.f64 -1 (fma.f64 -1/4 (pow.f64 x 2) 2))
(pow.f64 (/.f64 (/.f64 0 0) (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))) 2)
(pow.f64 (/.f64 -1 (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))) 2)
(pow.f64 (*.f64 (fma.f64 -1/4 (pow.f64 x 2) 2) (/.f64 0 0)) -1)
(/.f64 -1 (fma.f64 -1/4 (pow.f64 x 2) 2))
(pow.f64 (/.f64 (*.f64 (fma.f64 -1/4 (pow.f64 x 2) 2) (/.f64 0 0)) 1) -1)
(/.f64 -1 (fma.f64 -1/4 (pow.f64 x 2) 2))
(neg.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)))
(/.f64 -1 (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)))
(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))))
(/.f64 -1 (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)))))
(/.f64 -1 (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)))))
(/.f64 -1 (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))))))
(/.f64 -1 (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))
(/.f64 -1 (fma.f64 -1/4 (pow.f64 x 2) 2))
(cbrt.f64 (/.f64 (/.f64 0 0) (pow.f64 (fma.f64 -1/4 (pow.f64 x 2) 2) 3)))
(/.f64 -1 (fma.f64 -1/4 (pow.f64 x 2) 2))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2))))
(/.f64 -1 (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))))
(/.f64 -1 (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))))
(/.f64 -1 (fma.f64 -1/4 (pow.f64 x 2) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2))) 1))
(/.f64 -1 (fma.f64 -1/4 (pow.f64 x 2) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 0 0) (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2)))) 3))
(pow.f64 (/.f64 -1 (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))) 3)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)))) 1/3))
(exp.f64 (*.f64 3 (*.f64 (log.f64 (/.f64 -1 (fma.f64 -1/4 (pow.f64 x 2) 2))) 1/3)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 0 0) (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2)))) 2))
(pow.f64 (/.f64 -1 (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))) 2)
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 -1/4 (pow.f64 x 2) 2) (/.f64 0 0))) -1))
(/.f64 -1 (fma.f64 -1/4 (pow.f64 x 2) 2))
(+.f64 0 (*.f64 -1/4 (pow.f64 x 2)))
(*.f64 -1/4 (pow.f64 x 2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/4)) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/4)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/4))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/4))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/4))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/4))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/4 (pow.f64 x 2)))) 1)
(*.f64 -1/4 (pow.f64 x 2))
(pow.f64 (*.f64 -1/4 (pow.f64 x 2)) 1)
(*.f64 -1/4 (pow.f64 x 2))
(pow.f64 (cbrt.f64 (*.f64 -1/4 (pow.f64 x 2))) 3)
(*.f64 -1/4 (pow.f64 x 2))
(pow.f64 (pow.f64 (*.f64 -1/4 (pow.f64 x 2)) 3) 1/3)
(*.f64 -1/4 (pow.f64 x 2))
(pow.f64 (*.f64 x (sqrt.f64 -1/4)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/16))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/4))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/4 (pow.f64 x 2)))))
(*.f64 -1/4 (pow.f64 x 2))
(cbrt.f64 (pow.f64 (*.f64 -1/4 (pow.f64 x 2)) 3))
(*.f64 -1/4 (pow.f64 x 2))
(expm1.f64 (log1p.f64 (*.f64 -1/4 (pow.f64 x 2))))
(*.f64 -1/4 (pow.f64 x 2))
(log1p.f64 (expm1.f64 (*.f64 -1/4 (pow.f64 x 2))))
(*.f64 -1/4 (pow.f64 x 2))
(exp.f64 (log.f64 (*.f64 -1/4 (pow.f64 x 2))))
(*.f64 -1/4 (pow.f64 x 2))
(exp.f64 (*.f64 (log.f64 (*.f64 -1/4 (pow.f64 x 2))) 1))
(*.f64 -1/4 (pow.f64 x 2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 -1/4 (pow.f64 x 2)))) 3))
(*.f64 -1/4 (pow.f64 x 2))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 -1/4 (pow.f64 x 2)))) 1/3))
(exp.f64 (*.f64 3 (*.f64 (log.f64 (*.f64 -1/4 (pow.f64 x 2))) 1/3)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 -1/4))) 2))
(pow.f64 (*.f64 x (sqrt.f64 -1/4)) 2)

eval32.0ms (0.6%)

Compiler

Compiled 1439 to 1231 computations (14.5% saved)

prune13.0ms (0.2%)

Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New92092
Fresh000
Picked011
Done055
Total92698
Accuracy
100.0%
Counts
98 → 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))))
99.5%
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 -1/4 (*.f64 x x))))
9.1%
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
99.8%
(+.f64 x (+.f64 (*.f64 7/128 (pow.f64 x 5)) (*.f64 1/8 (pow.f64 x 3))))
99.5%
(+.f64 x (*.f64 1/8 (pow.f64 x 3)))
98.9%
x
Compiler

Compiled 126 to 89 computations (29.4% saved)

regimes15.0ms (0.3%)

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

2 calls:

12.0ms
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)

regimes6.0ms (0.1%)

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

3.0ms
x
2.0ms
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
Results
AccuracySegmentsBranch
99.8%1x
99.8%1(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0.1%)

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

2 calls:

3.0ms
x
2.0ms
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
Results
AccuracySegmentsBranch
99.5%1x
99.5%1(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
Compiler

Compiled 12 to 9 computations (25% saved)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
98.9%1x
Compiler

Compiled 2 to 1 computations (50% saved)

simplify5.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
030144
145144
249144
351144
452144
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 (*.f64 x 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 (*.f64 x x))))
x
Compiler

Compiled 42 to 30 computations (28.6% saved)

soundness367.0ms (6.6%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01261
115861
2216061
01263
115656
2242856
Stop Event
node limit
node limit
Compiler

Compiled 183 to 138 computations (24.6% saved)

end0.0ms (0%)

preprocess173.0ms (3.1%)

Remove

(negabs x)

Compiler

Compiled 266 to 190 computations (28.6% saved)

Profiling

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