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)

sample2.1s (36.8%)

Results
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0.0ms512valid
4.0ms1024valid
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4.0ms1024valid
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Bogosity

preprocess220.0ms (3.9%)

Algorithm
egg-herbie
Rules
188×fma-def
50×sub-neg
38×fma-neg
32×neg-mul-1
30×cancel-sign-sub-inv
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2540-0-(-.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
10.0%
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
Compiler

Compiled 10 to 8 computations (20% saved)

localize82.0ms (1.5%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
100.0%
(sqrt.f64 (+.f64 1 x))
100.0%
(sqrt.f64 (-.f64 1 x))
10.0%
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
Compiler

Compiled 27 to 20 computations (25.9% saved)

series47.0ms (0.8%)

Counts
3 → 20
Calls

9 calls:

TimeVariablePointExpression
45.0ms
x
@inf
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
1.0ms
x
@0
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
0.0ms
x
@inf
(sqrt.f64 (-.f64 1 x))
0.0ms
x
@-inf
(sqrt.f64 (-.f64 1 x))
0.0ms
x
@-inf
(sqrt.f64 (+.f64 1 x))

rewrite207.0ms (3.7%)

Algorithm
batch-egg-rewrite
Rules
1024×fma-def
792×log1p-expm1-u
791×expm1-log1p-u
672×log-prod
552×pow-prod-down
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01261
115861
2214261
Stop Event
node limit
Counts
3 → 174
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 (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 (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 1 (+.f64 x (fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)) (-.f64 1 x))))))
(*.f64 (+.f64 x x) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.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 1 (/.f64 (+.f64 1 (+.f64 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 1 (+.f64 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 1 (+.f64 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) (pow.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 3)) (+.f64 (+.f64 1 x) (-.f64 (pow.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 2) (*.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x)))))))
(/.f64 (-.f64 (+.f64 1 x) (pow.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 2)) (-.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))) 2) 1/2)
(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 1 (+.f64 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)))))
(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 (*.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 2))
(log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) (*.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1))
(fma.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))))
(fma.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(fma.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))))
(fma.f64 1 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (sqrt.f64 (+.f64 1 x)) 1 (neg.f64 (sqrt.f64 (-.f64 1 x))))
(fma.f64 (sqrt.f64 (+.f64 1 x)) 1 (*.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1))
(fma.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 1 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))))
(fma.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 1 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(fma.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 1 (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 (+.f64 1 x)) (*.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1))
(fma.f64 (cbrt.f64 (-.f64 1 x)) (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (*.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1))
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) (*.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1))
(fma.f64 (pow.f64 (-.f64 1 x) 1/4) (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))))
(fma.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(fma.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))))
(fma.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (/.f64 1 (+.f64 1 (+.f64 x (fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)) (-.f64 1 x))))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))))
(fma.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (/.f64 1 (+.f64 1 (+.f64 x (fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)) (-.f64 1 x))))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(fma.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (/.f64 1 (+.f64 1 (+.f64 x (fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)) (-.f64 1 x))))) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))))
(fma.f64 (+.f64 x x) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))))
(fma.f64 (+.f64 x x) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(fma.f64 (+.f64 x x) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))))
(fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 1/2) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 1/2) (*.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))))) (cbrt.f64 (neg.f64 (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 x))) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 x))) (*.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1))
(fma.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (neg.f64 (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 1 x)))
(fma.f64 -1 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (+.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (-.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))))
(fma.f64 (+.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (-.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(fma.f64 (+.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (-.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))))
(+.f64 0 (sqrt.f64 (-.f64 1 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 x))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 x)))) 1)
(*.f64 1 (sqrt.f64 (-.f64 1 x)))
(*.f64 (sqrt.f64 (-.f64 1 x)) 1)
(*.f64 (sqrt.f64 (-.f64 1 x)) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (cbrt.f64 (-.f64 1 x)))
(*.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (sqrt.f64 (-.f64 1 x))))
(*.f64 (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 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 x))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (sqrt.f64 (+.f64 1 x)))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 3))) (hypot.f64 1 (hypot.f64 x (sqrt.f64 x))))
(pow.f64 (-.f64 1 x) 1/2)
(pow.f64 (sqrt.f64 (-.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (-.f64 1 x) 3/2) 1/3)
(pow.f64 (pow.f64 (-.f64 1 x) 2) 1/4)
(pow.f64 (pow.f64 (-.f64 1 x) 1/4) 2)
(fabs.f64 (sqrt.f64 (-.f64 1 x)))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (-.f64 1 x) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 x))))
(hypot.f64 1 (sqrt.f64 (neg.f64 x)))
(exp.f64 (*.f64 1/2 (log1p.f64 (neg.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 x)) 1/2))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (neg.f64 x))) 1))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (neg.f64 x)) 1) 1/2))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (neg.f64 x)) 1/2) 1))
(exp.f64 (*.f64 (*.f64 (*.f64 1/2 (log1p.f64 (neg.f64 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) 3))
(exp.f64 (*.f64 (*.f64 (*.f64 1/2 (log1p.f64 (neg.f64 x))) 3) 1/3))
(exp.f64 (*.f64 (*.f64 3/2 (log1p.f64 (neg.f64 x))) 1/3))
(exp.f64 (*.f64 (*.f64 1/4 (log1p.f64 (neg.f64 x))) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 x))))
(+.f64 0 (sqrt.f64 (+.f64 1 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 x)))) (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 x))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x)))) 1)
(*.f64 1 (sqrt.f64 (+.f64 1 x)))
(*.f64 (sqrt.f64 (+.f64 1 x)) 1)
(*.f64 (sqrt.f64 (+.f64 1 x)) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 (+.f64 1 x)))
(*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))))
(*.f64 (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 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
(/.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) 2) 1/4)
(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))
(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 (log1p.f64 x) 1/2) 1))
(exp.f64 (*.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (*.f64 1/2 (log1p.f64 x))) 3))
(exp.f64 (*.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 3) 1/3))
(exp.f64 (*.f64 (*.f64 3/2 (log1p.f64 x)) 1/3))
(exp.f64 (*.f64 (*.f64 1/4 (log1p.f64 x)) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 x))))

simplify132.0ms (2.4%)

Algorithm
egg-herbie
Rules
996×fma-neg
796×distribute-lft-in
774×associate-+r+
722×distribute-rgt-in
702×cancel-sign-sub-inv
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03927256
18386966
225096472
Stop Event
node limit
Counts
194 → 257
Calls
Call 1
Inputs
x
(+.f64 x (*.f64 1/8 (pow.f64 x 3)))
(+.f64 x (+.f64 (*.f64 7/128 (pow.f64 x 5)) (*.f64 1/8 (pow.f64 x 3))))
(+.f64 x (+.f64 (*.f64 33/1024 (pow.f64 x 7)) (+.f64 (*.f64 7/128 (pow.f64 x 5)) (*.f64 1/8 (pow.f64 x 3)))))
0
0
0
0
0
0
0
0
1
(+.f64 1 (*.f64 -1/2 x))
(+.f64 1 (+.f64 (*.f64 -1/2 x) (*.f64 -1/8 (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 -1/16 (pow.f64 x 3)))))
1
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))))
(+.f64 0 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 1 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))))
(*.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 1)
(*.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2))
(*.f64 (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 (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 1 (+.f64 x (fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)) (-.f64 1 x))))))
(*.f64 (+.f64 x x) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.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 1 (/.f64 (+.f64 1 (+.f64 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 1 (+.f64 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 1 (+.f64 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) (pow.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 3)) (+.f64 (+.f64 1 x) (-.f64 (pow.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 2) (*.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x)))))))
(/.f64 (-.f64 (+.f64 1 x) (pow.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 2)) (-.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))) 2) 1/2)
(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 1 (+.f64 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)))))
(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 (*.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 2))
(log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) (*.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1))
(fma.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))))
(fma.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(fma.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))))
(fma.f64 1 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (sqrt.f64 (+.f64 1 x)) 1 (neg.f64 (sqrt.f64 (-.f64 1 x))))
(fma.f64 (sqrt.f64 (+.f64 1 x)) 1 (*.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1))
(fma.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 1 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))))
(fma.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 1 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(fma.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 1 (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 (+.f64 1 x)) (*.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1))
(fma.f64 (cbrt.f64 (-.f64 1 x)) (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (*.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1))
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) (*.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1))
(fma.f64 (pow.f64 (-.f64 1 x) 1/4) (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))))
(fma.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(fma.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))))
(fma.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (/.f64 1 (+.f64 1 (+.f64 x (fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)) (-.f64 1 x))))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))))
(fma.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (/.f64 1 (+.f64 1 (+.f64 x (fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)) (-.f64 1 x))))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(fma.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (/.f64 1 (+.f64 1 (+.f64 x (fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)) (-.f64 1 x))))) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))))
(fma.f64 (+.f64 x x) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))))
(fma.f64 (+.f64 x x) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(fma.f64 (+.f64 x x) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))))
(fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 1/2) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 1/2) (*.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))))) (cbrt.f64 (neg.f64 (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 x))) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 x))) (*.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1))
(fma.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (neg.f64 (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 1 x)))
(fma.f64 -1 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (+.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (-.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))))
(fma.f64 (+.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (-.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(fma.f64 (+.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (-.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))))
(+.f64 0 (sqrt.f64 (-.f64 1 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 x))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 x)))) 1)
(*.f64 1 (sqrt.f64 (-.f64 1 x)))
(*.f64 (sqrt.f64 (-.f64 1 x)) 1)
(*.f64 (sqrt.f64 (-.f64 1 x)) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (cbrt.f64 (-.f64 1 x)))
(*.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (sqrt.f64 (-.f64 1 x))))
(*.f64 (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 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 x))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (sqrt.f64 (+.f64 1 x)))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 3))) (hypot.f64 1 (hypot.f64 x (sqrt.f64 x))))
(pow.f64 (-.f64 1 x) 1/2)
(pow.f64 (sqrt.f64 (-.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (-.f64 1 x) 3/2) 1/3)
(pow.f64 (pow.f64 (-.f64 1 x) 2) 1/4)
(pow.f64 (pow.f64 (-.f64 1 x) 1/4) 2)
(fabs.f64 (sqrt.f64 (-.f64 1 x)))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (-.f64 1 x) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 x))))
(hypot.f64 1 (sqrt.f64 (neg.f64 x)))
(exp.f64 (*.f64 1/2 (log1p.f64 (neg.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 x)) 1/2))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (neg.f64 x))) 1))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (neg.f64 x)) 1) 1/2))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (neg.f64 x)) 1/2) 1))
(exp.f64 (*.f64 (*.f64 (*.f64 1/2 (log1p.f64 (neg.f64 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) 3))
(exp.f64 (*.f64 (*.f64 (*.f64 1/2 (log1p.f64 (neg.f64 x))) 3) 1/3))
(exp.f64 (*.f64 (*.f64 3/2 (log1p.f64 (neg.f64 x))) 1/3))
(exp.f64 (*.f64 (*.f64 1/4 (log1p.f64 (neg.f64 x))) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 x))))
(+.f64 0 (sqrt.f64 (+.f64 1 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 x)))) (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 x))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x)))) 1)
(*.f64 1 (sqrt.f64 (+.f64 1 x)))
(*.f64 (sqrt.f64 (+.f64 1 x)) 1)
(*.f64 (sqrt.f64 (+.f64 1 x)) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 (+.f64 1 x)))
(*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))))
(*.f64 (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 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
(/.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) 2) 1/4)
(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))
(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 (log1p.f64 x) 1/2) 1))
(exp.f64 (*.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (*.f64 1/2 (log1p.f64 x))) 3))
(exp.f64 (*.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 3) 1/3))
(exp.f64 (*.f64 (*.f64 3/2 (log1p.f64 x)) 1/3))
(exp.f64 (*.f64 (*.f64 1/4 (log1p.f64 x)) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 x))))
Outputs
x
(+.f64 x (*.f64 1/8 (pow.f64 x 3)))
(fma.f64 1/8 (pow.f64 x 3) x)
(+.f64 x (+.f64 (*.f64 7/128 (pow.f64 x 5)) (*.f64 1/8 (pow.f64 x 3))))
(+.f64 x (fma.f64 7/128 (pow.f64 x 5) (*.f64 1/8 (pow.f64 x 3))))
(+.f64 (fma.f64 1/8 (pow.f64 x 3) x) (*.f64 7/128 (pow.f64 x 5)))
(+.f64 x (+.f64 (*.f64 33/1024 (pow.f64 x 7)) (+.f64 (*.f64 7/128 (pow.f64 x 5)) (*.f64 1/8 (pow.f64 x 3)))))
(+.f64 x (fma.f64 33/1024 (pow.f64 x 7) (fma.f64 7/128 (pow.f64 x 5) (*.f64 1/8 (pow.f64 x 3)))))
(+.f64 (fma.f64 33/1024 (pow.f64 x 7) (*.f64 7/128 (pow.f64 x 5))) (fma.f64 1/8 (pow.f64 x 3) x))
(+.f64 (fma.f64 1/8 (pow.f64 x 3) x) (fma.f64 33/1024 (pow.f64 x 7) (*.f64 7/128 (pow.f64 x 5))))
0
0
0
0
0
0
0
0
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 -1/8 (pow.f64 x 2) (*.f64 x -1/2)))
(+.f64 1 (*.f64 x (+.f64 -1/2 (*.f64 -1/8 x))))
(+.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 (fma.f64 x -1/2 1) (fma.f64 (pow.f64 x 3) -1/16 (*.f64 -1/8 (pow.f64 x 2))))
(+.f64 (fma.f64 x -1/2 1) (*.f64 (pow.f64 x 2) (+.f64 -1/8 (*.f64 x -1/16))))
1
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (*.f64 x 1/2))
(fma.f64 x 1/2 1)
(+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 1 (fma.f64 -1/8 (pow.f64 x 2) (*.f64 x 1/2)))
(+.f64 1 (fma.f64 x 1/2 (*.f64 -1/8 (pow.f64 x 2))))
(+.f64 1 (*.f64 x (+.f64 (*.f64 -1/8 x) 1/2)))
(+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x))))
(+.f64 1 (fma.f64 -1/8 (pow.f64 x 2) (fma.f64 1/16 (pow.f64 x 3) (*.f64 x 1/2))))
(+.f64 1 (fma.f64 -1/8 (pow.f64 x 2) (fma.f64 (pow.f64 x 3) 1/16 (*.f64 x 1/2))))
(+.f64 (fma.f64 x 1/2 1) (*.f64 (pow.f64 x 2) (+.f64 -1/8 (*.f64 x 1/16))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(+.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 (sqrt.f64 (+.f64 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 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 (sqrt.f64 (+.f64 x 1)) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (cbrt.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 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(+.f64 0 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
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(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 x))))
(*.f64 (fabs.f64 (cbrt.f64 (-.f64 1 x))) (sqrt.f64 (cbrt.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (cbrt.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 x))))
(*.f64 (fabs.f64 (cbrt.f64 (-.f64 1 x))) (sqrt.f64 (cbrt.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (cbrt.f64 (-.f64 1 x))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (sqrt.f64 (+.f64 1 x)))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (sqrt.f64 (+.f64 x 1)))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 3))) (hypot.f64 1 (hypot.f64 x (sqrt.f64 x))))
(pow.f64 (-.f64 1 x) 1/2)
(sqrt.f64 (-.f64 1 x))
(pow.f64 (sqrt.f64 (-.f64 1 x)) 1)
(sqrt.f64 (-.f64 1 x))
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x))) 3)
(sqrt.f64 (-.f64 1 x))
(pow.f64 (pow.f64 (-.f64 1 x) 3/2) 1/3)
(cbrt.f64 (pow.f64 (-.f64 1 x) 3/2))
(pow.f64 (pow.f64 (-.f64 1 x) 2) 1/4)
(pow.f64 (pow.f64 (-.f64 1 x) 1/4) 2)
(sqrt.f64 (-.f64 1 x))
(fabs.f64 (sqrt.f64 (-.f64 1 x)))
(sqrt.f64 (-.f64 1 x))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 1 x))))
(sqrt.f64 (-.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 x)))))
(sqrt.f64 (-.f64 1 x))
(cbrt.f64 (pow.f64 (-.f64 1 x) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 x))))
(sqrt.f64 (-.f64 1 x))
(hypot.f64 1 (sqrt.f64 (neg.f64 x)))
(exp.f64 (*.f64 1/2 (log1p.f64 (neg.f64 x))))
(pow.f64 (exp.f64 1/2) (log1p.f64 (neg.f64 x)))
(sqrt.f64 (exp.f64 (log1p.f64 (neg.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 x)) 1/2))
(pow.f64 (exp.f64 1/2) (log1p.f64 (neg.f64 x)))
(sqrt.f64 (exp.f64 (log1p.f64 (neg.f64 x))))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (neg.f64 x))) 1))
(pow.f64 (exp.f64 1/2) (log1p.f64 (neg.f64 x)))
(sqrt.f64 (exp.f64 (log1p.f64 (neg.f64 x))))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (neg.f64 x)) 1) 1/2))
(pow.f64 (exp.f64 1/2) (log1p.f64 (neg.f64 x)))
(sqrt.f64 (exp.f64 (log1p.f64 (neg.f64 x))))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (neg.f64 x)) 1/2) 1))
(pow.f64 (exp.f64 1/2) (log1p.f64 (neg.f64 x)))
(sqrt.f64 (exp.f64 (log1p.f64 (neg.f64 x))))
(exp.f64 (*.f64 (*.f64 (*.f64 1/2 (log1p.f64 (neg.f64 x))) 1) 1))
(pow.f64 (exp.f64 1/2) (log1p.f64 (neg.f64 x)))
(sqrt.f64 (exp.f64 (log1p.f64 (neg.f64 x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) 3))
(sqrt.f64 (-.f64 1 x))
(exp.f64 (*.f64 (*.f64 (*.f64 1/2 (log1p.f64 (neg.f64 x))) 3) 1/3))
(pow.f64 (exp.f64 1/2) (log1p.f64 (neg.f64 x)))
(sqrt.f64 (exp.f64 (log1p.f64 (neg.f64 x))))
(exp.f64 (*.f64 (*.f64 3/2 (log1p.f64 (neg.f64 x))) 1/3))
(pow.f64 (exp.f64 1/2) (log1p.f64 (neg.f64 x)))
(sqrt.f64 (exp.f64 (log1p.f64 (neg.f64 x))))
(exp.f64 (*.f64 (*.f64 1/4 (log1p.f64 (neg.f64 x))) 2))
(pow.f64 (exp.f64 1/2) (log1p.f64 (neg.f64 x)))
(sqrt.f64 (exp.f64 (log1p.f64 (neg.f64 x))))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 x))))
(sqrt.f64 (-.f64 1 x))
(+.f64 0 (sqrt.f64 (+.f64 1 x)))
(sqrt.f64 (+.f64 x 1))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 x)))) (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 x))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x)))) 1)
(sqrt.f64 (+.f64 x 1))
(*.f64 1 (sqrt.f64 (+.f64 1 x)))
(sqrt.f64 (+.f64 x 1))
(*.f64 (sqrt.f64 (+.f64 1 x)) 1)
(sqrt.f64 (+.f64 x 1))
(*.f64 (sqrt.f64 (+.f64 1 x)) (log.f64 (exp.f64 1)))
(sqrt.f64 (+.f64 x 1))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 (+.f64 1 x)))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 x 1)))
(*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 x 1)))
(*.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4))
(sqrt.f64 (+.f64 x 1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
(*.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
(*.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 (cbrt.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)
(cbrt.f64 (pow.f64 (+.f64 x 1) 3/2))
(pow.f64 (pow.f64 (+.f64 1 x) 2) 1/4)
(pow.f64 (pow.f64 (+.f64 x 1) 2) 1/4)
(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))
(cbrt.f64 (pow.f64 (+.f64 x 1) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))))
(sqrt.f64 (+.f64 x 1))
(hypot.f64 1 (sqrt.f64 x))
(sqrt.f64 (+.f64 x 1))
(exp.f64 (*.f64 1/2 (log1p.f64 x)))
(pow.f64 (exp.f64 1/2) (log1p.f64 x))
(sqrt.f64 (exp.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (log1p.f64 x) 1/2))
(pow.f64 (exp.f64 1/2) (log1p.f64 x))
(sqrt.f64 (exp.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 1))
(pow.f64 (exp.f64 1/2) (log1p.f64 x))
(sqrt.f64 (exp.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (*.f64 (log1p.f64 x) 1/2) 1))
(pow.f64 (exp.f64 1/2) (log1p.f64 x))
(sqrt.f64 (exp.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 1) 1))
(pow.f64 (exp.f64 1/2) (log1p.f64 x))
(sqrt.f64 (exp.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (*.f64 1/3 (*.f64 1/2 (log1p.f64 x))) 3))
(pow.f64 (exp.f64 1/2) (log1p.f64 x))
(sqrt.f64 (exp.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 3) 1/3))
(pow.f64 (exp.f64 1/2) (log1p.f64 x))
(sqrt.f64 (exp.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (*.f64 3/2 (log1p.f64 x)) 1/3))
(pow.f64 (exp.f64 1/2) (log1p.f64 x))
(sqrt.f64 (exp.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (*.f64 1/4 (log1p.f64 x)) 2))
(pow.f64 (exp.f64 1/2) (log1p.f64 x))
(sqrt.f64 (exp.f64 (log1p.f64 x)))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 x))))
(sqrt.f64 (+.f64 x 1))

eval98.0ms (1.8%)

Compiler

Compiled 4437 to 3579 computations (19.3% saved)

prune34.0ms (0.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New2525257
Fresh000
Picked011
Done000
Total2526258
Accuracy
100.0%
Counts
258 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
22.4%
(/.f64 (+.f64 x (-.f64 1 (-.f64 1 x))) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
100.0%
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
99.8%
(/.f64 2 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x))
10.0%
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
99.3%
(+.f64 x (*.f64 1/8 (pow.f64 x 3)))
98.6%
x
Compiler

Compiled 122 to 92 computations (24.6% saved)

localize522.0ms (9.4%)

Localize:

Found 12 expressions with local error:

NewAccuracyProgram
100.0%
(sqrt.f64 (+.f64 x 1))
100.0%
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
100.0%
(sqrt.f64 (-.f64 1 x))
10.1%
(-.f64 1 (-.f64 1 x))
100.0%
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
100.0%
(sqrt.f64 (-.f64 1 x))
100.0%
(/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x)
99.8%
(/.f64 2 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x))
100.0%
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
100.0%
(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))
Compiler

Compiled 166 to 119 computations (28.3% saved)

series9.0ms (0.2%)

Counts
8 → 40
Calls

24 calls:

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

rewrite170.0ms (3.1%)

Algorithm
batch-egg-rewrite
Rules
934×log1p-expm1-u
566×expm1-log1p-u
376×expm1-udef
374×log1p-udef
164×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
021261
1382225
25158225
Stop Event
node limit
Counts
8 → 415
Calls
Call 1
Inputs
(+.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))))
(/.f64 2 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x))
(/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x)
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(-.f64 1 (-.f64 1 x))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(sqrt.f64 (+.f64 x 1))
Outputs
(-.f64 0 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 1)
(-.f64 (/.f64 (+.f64 1 x) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (/.f64 (-.f64 1 x) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 0 0) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 1)
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (/.f64 0 0))
(*.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) x) 1/2)
(*.f64 1/2 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) x))
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) (neg.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))
(*.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)))
(*.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (neg.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (/.f64 1 (-.f64 (+.f64 (+.f64 1 x) (-.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))))
(*.f64 -1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) 1) (/.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (/.f64 0 0)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) 2) (/.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) (/.f64 0 0)) (/.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (/.f64 0 0)))
(*.f64 (/.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) 1) (/.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (/.f64 0 0)))
(*.f64 (/.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (/.f64 0 0)) (/.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (/.f64 0 0)))
(*.f64 (/.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) 2) (/.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) x))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (neg.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4))) (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)))
(*.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (*.f64 2 (pow.f64 x 3))) (pow.f64 x 2))
(*.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 0) 0)
(/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(/.f64 1 (/.f64 (-.f64 (+.f64 (+.f64 1 x) (-.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2))))
(/.f64 1 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (/.f64 0 0)))
(/.f64 (/.f64 0 0) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (/.f64 0 0))
(/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (/.f64 2 (/.f64 1 x)))
(/.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) x) 2)
(/.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) x) -2)
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(/.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)))))
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(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) (neg.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))
(*.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)))
(*.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (neg.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (/.f64 1 (-.f64 (+.f64 (+.f64 1 x) (-.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))))
(*.f64 -1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) 1) (/.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (/.f64 0 0)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) 2) (/.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) (/.f64 0 0)) (/.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (/.f64 0 0)))
(*.f64 (/.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) 1) (/.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (/.f64 0 0)))
(*.f64 (/.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (/.f64 0 0)) (/.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (/.f64 0 0)))
(*.f64 (/.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) 2) (/.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) x))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (neg.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4))) (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)))
(*.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (*.f64 2 (pow.f64 x 3))) (pow.f64 x 2))
(*.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 0) 0)
(/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(/.f64 1 (/.f64 (-.f64 (+.f64 (+.f64 1 x) (-.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2))))
(/.f64 1 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (/.f64 0 0)))
(/.f64 (/.f64 0 0) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (/.f64 0 0))
(/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (/.f64 2 (/.f64 1 x)))
(/.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) x) 2)
(/.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) x) -2)
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) x)) 2) (/.f64 2 (cbrt.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) x))))
(/.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 (sqrt.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) x)) (/.f64 2 (sqrt.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) x))))
(/.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (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 (+.f64 (+.f64 1 x) (-.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (+.f64 (-.f64 1 x) (-.f64 (+.f64 1 x) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (*.f64 (/.f64 0 0) (-.f64 (+.f64 (+.f64 1 x) (-.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (-.f64 (+.f64 (+.f64 1 x) (-.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (neg.f64 (-.f64 (+.f64 (+.f64 1 x) (-.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))))
(/.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 2) x)
(/.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 1) (/.f64 0 0))
(/.f64 (-.f64 (-.f64 1 x) (+.f64 1 x)) (-.f64 (sqrt.f64 (-.f64 1 x)) (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 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) 2)
(neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 2))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))
(log.f64 (/.f64 1 (exp.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 3) (/.f64 0 0)))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 1))
(exp.f64 (-.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (log.f64 (/.f64 0 0))))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(fma.f64 1 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (+.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x)))) 1)
(*.f64 1 (sqrt.f64 (+.f64 1 x)))
(*.f64 (sqrt.f64 (+.f64 1 x)) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 (+.f64 1 x)))
(*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))))
(*.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (sqrt.f64 (-.f64 1 x)))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 3))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 x 2) x))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x (-.f64 1 x))))
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1)))
(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))
(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))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 x))))

simplify64.0ms (1.1%)

Algorithm
egg-herbie
Rules
160×*-commutative
96×+-commutative
92×sqr-pow
50×sub-neg
48×associate-*r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05061939
116731939
Stop Event
unsound
Counts
455 → 267
Calls
Call 1
Inputs
2
(+.f64 2 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 2 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 -5/64 (pow.f64 x 4))))
(+.f64 2 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -5/64 (pow.f64 x 4)) (*.f64 -21/512 (pow.f64 x 6)))))
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)))))
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 x)
(+.f64 (*.f64 -1/4 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 -1/4 x) (+.f64 (*.f64 -5/64 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x))))
(+.f64 (*.f64 -1/4 x) (+.f64 (*.f64 -5/64 (pow.f64 x 3)) (+.f64 (*.f64 -21/512 (pow.f64 x 5)) (*.f64 2 (/.f64 1 x)))))
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)))))
x
x
x
x
x
x
x
x
x
x
x
x
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)))))
1
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x))))
(-.f64 0 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 1)
(-.f64 (/.f64 (+.f64 1 x) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (/.f64 (-.f64 1 x) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 0 0) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 1)
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (/.f64 0 0))
(*.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) x) 1/2)
(*.f64 1/2 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) x))
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) (neg.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))
(*.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)))
(*.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (neg.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (/.f64 1 (-.f64 (+.f64 (+.f64 1 x) (-.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))))
(*.f64 -1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) 1) (/.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (/.f64 0 0)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) 2) (/.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) (/.f64 0 0)) (/.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (/.f64 0 0)))
(*.f64 (/.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) 1) (/.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (/.f64 0 0)))
(*.f64 (/.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (/.f64 0 0)) (/.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (/.f64 0 0)))
(*.f64 (/.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) 2) (/.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) x))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (neg.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4))) (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)))
(*.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (*.f64 2 (pow.f64 x 3))) (pow.f64 x 2))
(*.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 0) 0)
(/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(/.f64 1 (/.f64 (-.f64 (+.f64 (+.f64 1 x) (-.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2))))
(/.f64 1 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (/.f64 0 0)))
(/.f64 (/.f64 0 0) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (/.f64 0 0))
(/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (/.f64 2 (/.f64 1 x)))
(/.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) x) 2)
(/.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) x) -2)
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(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) (neg.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))
(*.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)))
(*.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (neg.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (/.f64 1 (-.f64 (+.f64 (+.f64 1 x) (-.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))))
(*.f64 -1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) 1) (/.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (/.f64 0 0)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) 2) (/.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) (/.f64 0 0)) (/.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (/.f64 0 0)))
(*.f64 (/.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) 1) (/.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (/.f64 0 0)))
(*.f64 (/.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (/.f64 0 0)) (/.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (/.f64 0 0)))
(*.f64 (/.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) 2) (/.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) x))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (neg.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4))) (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)))
(*.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (*.f64 2 (pow.f64 x 3))) (pow.f64 x 2))
(*.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 0) 0)
(/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(/.f64 1 (/.f64 (-.f64 (+.f64 (+.f64 1 x) (-.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2))))
(/.f64 1 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (/.f64 0 0)))
(/.f64 (/.f64 0 0) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (/.f64 0 0))
(/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (/.f64 2 (/.f64 1 x)))
(/.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) x) 2)
(/.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) x) -2)
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) x)) 2) (/.f64 2 (cbrt.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) x))))
(/.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 (sqrt.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) x)) (/.f64 2 (sqrt.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) x))))
(/.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (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 (+.f64 (+.f64 1 x) (-.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (+.f64 (-.f64 1 x) (-.f64 (+.f64 1 x) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (*.f64 (/.f64 0 0) (-.f64 (+.f64 (+.f64 1 x) (-.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (-.f64 (+.f64 (+.f64 1 x) (-.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (neg.f64 (-.f64 (+.f64 (+.f64 1 x) (-.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))))
(/.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 2) x)
(/.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 1) (/.f64 0 0))
(/.f64 (-.f64 (-.f64 1 x) (+.f64 1 x)) (-.f64 (sqrt.f64 (-.f64 1 x)) (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 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) 2)
(neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 2))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))
(log.f64 (/.f64 1 (exp.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 3) (/.f64 0 0)))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 1))
(exp.f64 (-.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (log.f64 (/.f64 0 0))))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(fma.f64 1 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (+.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x)))) 1)
(*.f64 1 (sqrt.f64 (+.f64 1 x)))
(*.f64 (sqrt.f64 (+.f64 1 x)) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 (+.f64 1 x)))
(*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))))
(*.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (sqrt.f64 (-.f64 1 x)))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 3))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 x 2) x))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x (-.f64 1 x))))
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1)))
(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))
(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))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 x))))
Outputs
2
(+.f64 2 (*.f64 -1/4 (pow.f64 x 2)))
7/4
(+.f64 2 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 -5/64 (pow.f64 x 4))))
107/64
(+.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)))))
835/512
x
-1
(+.f64 x (*.f64 1/8 (pow.f64 x 3)))
9/8
(+.f64 x (+.f64 (*.f64 7/128 (pow.f64 x 5)) (*.f64 1/8 (pow.f64 x 3))))
151/128
(+.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)))))
1241/1024
x
-1
(+.f64 x (*.f64 1/8 (pow.f64 x 3)))
9/8
(+.f64 x (+.f64 (*.f64 7/128 (pow.f64 x 5)) (*.f64 1/8 (pow.f64 x 3))))
151/128
(+.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)))))
1241/1024
(/.f64 2 x)
2
(+.f64 (*.f64 -1/4 x) (*.f64 2 (/.f64 1 x)))
7/4
(+.f64 (*.f64 -1/4 x) (+.f64 (*.f64 -5/64 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x))))
107/64
(+.f64 (*.f64 -1/4 x) (+.f64 (*.f64 -5/64 (pow.f64 x 3)) (+.f64 (*.f64 -21/512 (pow.f64 x 5)) (*.f64 2 (/.f64 1 x)))))
835/512
2
(+.f64 2 (*.f64 -1/4 (pow.f64 x 2)))
7/4
(+.f64 2 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 -5/64 (pow.f64 x 4))))
107/64
(+.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)))))
835/512
x
-1
x
-1
x
-1
x
-1
x
-1
x
-1
x
-1
x
-1
x
-1
x
-1
x
-1
x
-1
2
(+.f64 2 (*.f64 -1/4 (pow.f64 x 2)))
7/4
(+.f64 2 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 -5/64 (pow.f64 x 4))))
107/64
(+.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)))))
835/512
1
-1
(+.f64 1 (*.f64 1/2 x))
3/2
(+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
11/8
(+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x))))
23/16
(-.f64 0 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
-1
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 1)
-1
(-.f64 (/.f64 (+.f64 1 x) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (/.f64 (-.f64 1 x) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
-1
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
-1
(*.f64 (/.f64 0 0) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
-1
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 1)
-1
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (/.f64 0 0))
-1
(*.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) x) 1/2)
-1/2
(*.f64 1/2 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) x))
-1/2
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2))
-1
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
-1
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) (neg.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))
-1
(*.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)))
(pow.f64 (hypot.f64 (pow.f64 -1 -1/4) (pow.f64 -1 -1/4)) 2)
(*.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (neg.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4))))
(pow.f64 (hypot.f64 (pow.f64 -1 -1/4) (pow.f64 -1 -1/4)) 2)
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (/.f64 1 (-.f64 (+.f64 (+.f64 1 x) (-.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))))
(neg.f64 (+.f64 (pow.f64 -1 3/2) (pow.f64 -1 3/2)))
(*.f64 -1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
-1
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) 1) (/.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (/.f64 0 0)))
-1
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) 2) (/.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) x))
-1/2
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) (/.f64 0 0)) (/.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (/.f64 0 0)))
-1
(*.f64 (/.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) 1) (/.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (/.f64 0 0)))
(pow.f64 (hypot.f64 (pow.f64 -1 -1/4) (pow.f64 -1 -1/4)) 2)
(*.f64 (/.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (/.f64 0 0)) (/.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (/.f64 0 0)))
(pow.f64 (hypot.f64 (pow.f64 -1 -1/4) (pow.f64 -1 -1/4)) 2)
(*.f64 (/.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) 2) (/.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) x))
(/.f64 (pow.f64 (hypot.f64 (pow.f64 -1 -1/4) (pow.f64 -1 -1/4)) 2) 2)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
-1
(*.f64 (neg.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4))) (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)))
(pow.f64 (hypot.f64 (pow.f64 -1 -1/4) (pow.f64 -1 -1/4)) 2)
(*.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (*.f64 2 (pow.f64 x 3))) (pow.f64 x 2))
-1/2
(*.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 0) 0)
-1
(/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
-1
(/.f64 1 (/.f64 (-.f64 (+.f64 (+.f64 1 x) (-.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2))))
(neg.f64 (+.f64 (pow.f64 -1 3/2) (pow.f64 -1 3/2)))
(/.f64 1 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (/.f64 0 0)))
-1
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(pow.f64 (hypot.f64 (pow.f64 -1 -1/4) (pow.f64 -1 -1/4)) 2)
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(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 2))
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(log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
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(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))
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(log.f64 (/.f64 1 (exp.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))
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(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 3))
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(cbrt.f64 (/.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 3) (/.f64 0 0)))
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(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
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(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
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(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 1))
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(exp.f64 (-.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (log.f64 (/.f64 0 0))))
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(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
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(fma.f64 1 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
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(fma.f64 1 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))
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(fma.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 1 x)))
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(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
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(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))
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(fma.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (+.f64 1 x)))
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(+.f64 1 (+.f64 x -1))
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(+.f64 1 (*.f64 (+.f64 x -1) 1))
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(+.f64 x 0)
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(+.f64 0 x)
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(+.f64 (+.f64 x -1) 1)
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(*.f64 1 x)
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(*.f64 x 1)
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(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
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(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))
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(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1))
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(*.f64 (sqrt.f64 x) (sqrt.f64 x))
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(*.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 3)) (/.f64 1 (+.f64 1 (*.f64 (-.f64 1 x) (-.f64 2 x)))))
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(*.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 2)) (/.f64 1 (-.f64 2 x)))
1/3
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (-.f64 1 x) (-.f64 2 x))) (-.f64 1 (pow.f64 (-.f64 1 x) 3))))
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(/.f64 1 (/.f64 (-.f64 2 x) (-.f64 1 (pow.f64 (-.f64 1 x) 2))))
1/3
(/.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 3)) (+.f64 1 (*.f64 (-.f64 1 x) (-.f64 2 x))))
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(/.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 2)) (-.f64 2 x))
1/3
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 3))) (neg.f64 (+.f64 1 (*.f64 (-.f64 1 x) (-.f64 2 x)))))
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(/.f64 (neg.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 2))) (neg.f64 (-.f64 2 x)))
1/3
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 x -1) (+.f64 x -1)) (+.f64 x -1))))
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(pow.f64 x 1)
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(pow.f64 (cbrt.f64 x) 3)
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(pow.f64 (sqrt.f64 x) 2)
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(pow.f64 (pow.f64 x 3) 1/3)
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(sqrt.f64 (pow.f64 x 2))
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(log.f64 (exp.f64 x))
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(log.f64 (+.f64 1 (expm1.f64 x)))
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(cbrt.f64 (pow.f64 x 3))
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(exp.f64 (log.f64 x))
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(-.f64 0 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
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(-.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 1)
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(-.f64 (/.f64 (+.f64 1 x) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (/.f64 (-.f64 1 x) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
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(*.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
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(*.f64 (/.f64 0 0) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
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(*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 1)
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(*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (/.f64 0 0))
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(*.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) x) 1/2)
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(*.f64 1/2 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) x))
-1/2
(*.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))
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(*.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)))))
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(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) (neg.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))
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(*.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)))
(pow.f64 (hypot.f64 (pow.f64 -1 -1/4) (pow.f64 -1 -1/4)) 2)
(*.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (neg.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4))))
(pow.f64 (hypot.f64 (pow.f64 -1 -1/4) (pow.f64 -1 -1/4)) 2)
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (/.f64 1 (-.f64 (+.f64 (+.f64 1 x) (-.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))))
(neg.f64 (+.f64 (pow.f64 -1 3/2) (pow.f64 -1 3/2)))
(*.f64 -1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
-1
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) 1) (/.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (/.f64 0 0)))
-1
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) 2) (/.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) x))
-1/2
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) (/.f64 0 0)) (/.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (/.f64 0 0)))
-1
(*.f64 (/.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) 1) (/.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (/.f64 0 0)))
(pow.f64 (hypot.f64 (pow.f64 -1 -1/4) (pow.f64 -1 -1/4)) 2)
(*.f64 (/.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (/.f64 0 0)) (/.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (/.f64 0 0)))
(pow.f64 (hypot.f64 (pow.f64 -1 -1/4) (pow.f64 -1 -1/4)) 2)
(*.f64 (/.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) 2) (/.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) x))
(/.f64 (pow.f64 (hypot.f64 (pow.f64 -1 -1/4) (pow.f64 -1 -1/4)) 2) 2)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
-1
(*.f64 (neg.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4))) (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)))
(pow.f64 (hypot.f64 (pow.f64 -1 -1/4) (pow.f64 -1 -1/4)) 2)
(*.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (*.f64 2 (pow.f64 x 3))) (pow.f64 x 2))
-1/2
(*.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 0) 0)
-1
(/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
-1
(/.f64 1 (/.f64 (-.f64 (+.f64 (+.f64 1 x) (-.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2))))
(neg.f64 (+.f64 (pow.f64 -1 3/2) (pow.f64 -1 3/2)))
(/.f64 1 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (/.f64 0 0)))
-1
(/.f64 (/.f64 0 0) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
-1
(/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (/.f64 0 0))
-1
(/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (/.f64 2 (/.f64 1 x)))
-1/2
(/.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) x) 2)
-1/2
(/.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) x) -2)
-1/2
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) x)) 2) (/.f64 2 (cbrt.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) x))))
-1/2
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
-1
(/.f64 (sqrt.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) x)) (/.f64 2 (sqrt.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) x))))
-1/2
(/.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(hypot.f64 (pow.f64 -1 -1/4) (pow.f64 -1 -1/4))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (-.f64 (+.f64 (+.f64 1 x) (-.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 -1 3/2) (pow.f64 -1 3/2)) -1)
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (+.f64 (-.f64 1 x) (-.f64 (+.f64 1 x) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))))
(/.f64 (+.f64 (pow.f64 -1 3/2) (pow.f64 -1 3/2)) -1)
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (*.f64 (/.f64 0 0) (-.f64 (+.f64 (+.f64 1 x) (-.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))))
(/.f64 (+.f64 (pow.f64 -1 3/2) (pow.f64 -1 3/2)) -1)
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (-.f64 (+.f64 (+.f64 1 x) (-.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))))
(neg.f64 (+.f64 (pow.f64 -1 3/2) (pow.f64 -1 3/2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (neg.f64 (-.f64 (+.f64 (+.f64 1 x) (-.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))))
(neg.f64 (+.f64 (pow.f64 -1 3/2) (pow.f64 -1 3/2)))
(/.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 2) x)
-1/2
(/.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 1) (/.f64 0 0))
-1
(/.f64 (-.f64 (-.f64 1 x) (+.f64 1 x)) (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))))
-1
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 1)
-1
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 3)
-1
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 3) 1/3)
-1
(pow.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) 2)
(pow.f64 (hypot.f64 (pow.f64 -1 -1/4) (pow.f64 -1 -1/4)) 2)
(neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
-1
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 2))
-1
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
-1
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))
-1
(log.f64 (/.f64 1 (exp.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))
-1
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 3))
-1
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 3) (/.f64 0 0)))
-1
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
-1
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
-1
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 1))
-1
(exp.f64 (-.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (log.f64 (/.f64 0 0))))
-1
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
-1
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
-1
(fma.f64 1 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))
-1
(fma.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 1 x)))
-1
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
-1
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))
-1
(fma.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (+.f64 1 x)))
-1
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x)))) 1)
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(*.f64 (sqrt.f64 (+.f64 1 x)) 1)
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(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 (+.f64 1 x)))
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(*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))))
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(*.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4))
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(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1 x)))
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(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 1/2))
-1
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
-1
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (sqrt.f64 (-.f64 1 x)))
-1
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 3))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 x 2) x))))
-1
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x (-.f64 1 x))))
-1
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1)))
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(pow.f64 (+.f64 1 x) 1/2)
-1
(pow.f64 (sqrt.f64 (+.f64 1 x)) 1)
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(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) 3)
-1
(pow.f64 (pow.f64 (+.f64 1 x) 3/2) 1/3)
(cbrt.f64 (pow.f64 -1 3/2))
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-1
(fabs.f64 (sqrt.f64 (+.f64 1 x)))
-1
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1 x))))
-1
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 x)))))
-1
(cbrt.f64 (pow.f64 (+.f64 1 x) 3/2))
(cbrt.f64 (pow.f64 -1 3/2))
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-1
(hypot.f64 1 (sqrt.f64 x))
(hypot.f64 -1 -1)
(exp.f64 (*.f64 1/2 (log1p.f64 x)))
(pow.f64 (exp.f64 -1/2) (log1p.f64 -1))
(exp.f64 (*.f64 (log1p.f64 x) 1/2))
(pow.f64 (exp.f64 -1/2) (log1p.f64 -1))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 1))
(pow.f64 (exp.f64 -1/2) (log1p.f64 -1))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 x))))
-1

eval502.0ms (9%)

Compiler

Compiled 16743 to 12523 computations (25.2% saved)

prune83.0ms (1.5%)

Pruning

9 alts after pruning (3 fresh and 6 done)

PrunedKeptTotal
New8853888
Fresh000
Picked055
Done011
Total8859894
Accuracy
100.0%
Counts
894 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
22.4%
(/.f64 (+.f64 x (-.f64 1 (-.f64 1 x))) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
100.0%
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
99.8%
(/.f64 2 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x))
98.4%
(/.f64 2 (/.f64 2 x))
99.5%
(/.f64 2 (+.f64 (*.f64 -1/4 x) (+.f64 (*.f64 -5/64 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x)))))
99.1%
(/.f64 2 (+.f64 (*.f64 -1/4 x) (*.f64 2 (/.f64 1 x))))
10.0%
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
99.3%
(+.f64 x (*.f64 1/8 (pow.f64 x 3)))
98.6%
x
Compiler

Compiled 102 to 80 computations (21.6% saved)

localize232.0ms (4.2%)

Localize:

Found 7 expressions with local error:

NewAccuracyProgram
99.8%
(/.f64 2 (/.f64 2 x))
100.0%
(+.f64 (*.f64 -5/64 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x)))
100.0%
(+.f64 (*.f64 -1/4 x) (+.f64 (*.f64 -5/64 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x))))
99.9%
(*.f64 -5/64 (pow.f64 x 3))
99.8%
(/.f64 2 (+.f64 (*.f64 -1/4 x) (+.f64 (*.f64 -5/64 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x)))))
100.0%
(+.f64 (*.f64 -1/4 x) (*.f64 2 (/.f64 1 x)))
99.8%
(/.f64 2 (+.f64 (*.f64 -1/4 x) (*.f64 2 (/.f64 1 x))))
Compiler

Compiled 115 to 90 computations (21.7% saved)

series8.0ms (0.2%)

Counts
7 → 48
Calls

21 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(/.f64 2 (+.f64 (*.f64 -1/4 x) (*.f64 2 (/.f64 1 x))))
1.0ms
x
@inf
(/.f64 2 (+.f64 (*.f64 -1/4 x) (+.f64 (*.f64 -5/64 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x)))))
0.0ms
x
@0
(*.f64 -5/64 (pow.f64 x 3))
0.0ms
x
@inf
(*.f64 -5/64 (pow.f64 x 3))
0.0ms
x
@0
(/.f64 2 (+.f64 (*.f64 -1/4 x) (*.f64 2 (/.f64 1 x))))

rewrite167.0ms (3%)

Algorithm
batch-egg-rewrite
Rules
1005×log1p-expm1-u
577×expm1-log1p-u
496×expm1-udef
496×log1p-udef
214×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022177
1348177
24634177
Stop Event
node limit
Counts
7 → 201
Calls
Call 1
Inputs
(/.f64 2 (+.f64 (*.f64 -1/4 x) (*.f64 2 (/.f64 1 x))))
(+.f64 (*.f64 -1/4 x) (*.f64 2 (/.f64 1 x)))
(/.f64 2 (+.f64 (*.f64 -1/4 x) (+.f64 (*.f64 -5/64 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x)))))
(*.f64 -5/64 (pow.f64 x 3))
(+.f64 (*.f64 -1/4 x) (+.f64 (*.f64 -5/64 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x))))
(+.f64 (*.f64 -5/64 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x)))
(/.f64 2 (/.f64 2 x))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 (fma.f64 -1/4 x (/.f64 2 x))))) 1)
(*.f64 2 (/.f64 1 (fma.f64 -1/4 x (/.f64 2 x))))
(*.f64 1 (/.f64 2 (fma.f64 -1/4 x (/.f64 2 x))))
(*.f64 (/.f64 2 (fma.f64 -1/4 x (/.f64 2 x))) 1)
(*.f64 (cbrt.f64 (/.f64 2 (fma.f64 -1/4 x (/.f64 2 x)))) (pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 -1/4 x (/.f64 2 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 -1/4 x (/.f64 2 x)))) 2) (cbrt.f64 (/.f64 2 (fma.f64 -1/4 x (/.f64 2 x)))))
(*.f64 (sqrt.f64 (/.f64 2 (fma.f64 -1/4 x (/.f64 2 x)))) (sqrt.f64 (/.f64 2 (fma.f64 -1/4 x (/.f64 2 x)))))
(*.f64 -2 (/.f64 1 (neg.f64 (fma.f64 -1/4 x (/.f64 2 x)))))
(*.f64 (/.f64 1 (fma.f64 -1/4 x (/.f64 2 x))) 2)
(*.f64 (/.f64 2 (+.f64 (pow.f64 (/.f64 2 x) 3) (*.f64 (pow.f64 x 3) -1/64))) (+.f64 (*.f64 (pow.f64 x 2) 1/16) (*.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 -1/4 x)))))
(*.f64 (/.f64 2 (-.f64 (*.f64 (pow.f64 x 2) 1/16) (*.f64 (pow.f64 x -2) 4))) (fma.f64 -1/4 x (/.f64 -2 x)))
(pow.f64 (/.f64 2 (fma.f64 -1/4 x (/.f64 2 x))) 1)
(pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 -1/4 x (/.f64 2 x)))) 3)
(pow.f64 (pow.f64 (/.f64 2 (fma.f64 -1/4 x (/.f64 2 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 2 (fma.f64 -1/4 x (/.f64 2 x)))) 2)
(pow.f64 (*.f64 (fma.f64 -1/4 x (/.f64 2 x)) 1/2) -1)
(sqrt.f64 (/.f64 4 (pow.f64 (fma.f64 -1/4 x (/.f64 2 x)) 2)))
(log.f64 (exp.f64 (/.f64 2 (fma.f64 -1/4 x (/.f64 2 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (fma.f64 -1/4 x (/.f64 2 x))))))
(cbrt.f64 (pow.f64 (/.f64 2 (fma.f64 -1/4 x (/.f64 2 x))) 3))
(expm1.f64 (log1p.f64 (/.f64 2 (fma.f64 -1/4 x (/.f64 2 x)))))
(exp.f64 (log.f64 (/.f64 2 (fma.f64 -1/4 x (/.f64 2 x)))))
(exp.f64 (*.f64 (log.f64 (/.f64 2 (fma.f64 -1/4 x (/.f64 2 x)))) 1))
(log1p.f64 (expm1.f64 (/.f64 2 (fma.f64 -1/4 x (/.f64 2 x)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/4 x (/.f64 2 x)))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 x 2) 1/16) (fma.f64 -1/4 x (/.f64 -2 x))) (/.f64 (*.f64 (pow.f64 x -2) 4) (fma.f64 -1/4 x (/.f64 -2 x))))
(*.f64 1 (fma.f64 -1/4 x (/.f64 2 x)))
(*.f64 (fma.f64 -1/4 x (/.f64 2 x)) 1)
(*.f64 (cbrt.f64 (fma.f64 -1/4 x (/.f64 2 x))) (pow.f64 (cbrt.f64 (fma.f64 -1/4 x (/.f64 2 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/4 x (/.f64 2 x))) 2) (cbrt.f64 (fma.f64 -1/4 x (/.f64 2 x))))
(*.f64 (sqrt.f64 (fma.f64 -1/4 x (/.f64 2 x))) (sqrt.f64 (fma.f64 -1/4 x (/.f64 2 x))))
(*.f64 (+.f64 (pow.f64 (/.f64 2 x) 3) (*.f64 (pow.f64 x 3) -1/64)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 2) 1/16) (*.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 -1/4 x))))))
(*.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/16) (*.f64 (pow.f64 x -2) 4)) (/.f64 1 (fma.f64 -1/4 x (/.f64 -2 x))))
(/.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/16) (*.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 -1/4 x)))) (+.f64 (pow.f64 (/.f64 2 x) 3) (*.f64 (pow.f64 x 3) -1/64))))
(/.f64 1 (/.f64 (fma.f64 -1/4 x (/.f64 -2 x)) (-.f64 (*.f64 (pow.f64 x 2) 1/16) (*.f64 (pow.f64 x -2) 4))))
(/.f64 (+.f64 (pow.f64 (/.f64 2 x) 3) (*.f64 (pow.f64 x 3) -1/64)) (+.f64 (*.f64 (pow.f64 x 2) 1/16) (*.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 -1/4 x)))))
(/.f64 (+.f64 (pow.f64 (/.f64 2 x) 3) (*.f64 (pow.f64 x 3) -1/64)) (+.f64 (*.f64 (pow.f64 x -2) 4) (-.f64 (*.f64 (pow.f64 x 2) 1/16) (*.f64 -1/4 (*.f64 x (/.f64 2 x))))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/16) (*.f64 (pow.f64 x -2) 4)) (fma.f64 -1/4 x (/.f64 -2 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 2 x) 3) (*.f64 (pow.f64 x 3) -1/64))) (neg.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/16) (*.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 -1/4 x))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/16) (*.f64 (pow.f64 x -2) 4))) (neg.f64 (fma.f64 -1/4 x (/.f64 -2 x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x -2) 4) (*.f64 (pow.f64 x 2) 1/16)) (-.f64 (/.f64 2 x) (*.f64 -1/4 x)))
(pow.f64 (fma.f64 -1/4 x (/.f64 2 x)) 1)
(pow.f64 (cbrt.f64 (fma.f64 -1/4 x (/.f64 2 x))) 3)
(pow.f64 (pow.f64 (fma.f64 -1/4 x (/.f64 2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -1/4 x (/.f64 2 x))) 2)
(sqrt.f64 (pow.f64 (fma.f64 -1/4 x (/.f64 2 x)) 2))
(log.f64 (exp.f64 (fma.f64 -1/4 x (/.f64 2 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/4 x (/.f64 2 x)))))
(cbrt.f64 (pow.f64 (fma.f64 -1/4 x (/.f64 2 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/4 x (/.f64 2 x))))
(exp.f64 (log.f64 (fma.f64 -1/4 x (/.f64 2 x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/4 x (/.f64 2 x))) 1))
(log1p.f64 (expm1.f64 (fma.f64 -1/4 x (/.f64 2 x))))
(fma.f64 2 (/.f64 1 x) (*.f64 -1/4 x))
(fma.f64 -1/4 x (/.f64 2 x))
(fma.f64 x -1/4 (/.f64 2 x))
(fma.f64 1 (*.f64 -1/4 x) (/.f64 2 x))
(fma.f64 1 (/.f64 2 x) (*.f64 -1/4 x))
(fma.f64 (/.f64 1 x) 2 (*.f64 -1/4 x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (cbrt.f64 (/.f64 2 x)) (*.f64 -1/4 x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 -1/4 x)) 2) (cbrt.f64 (*.f64 -1/4 x)) (/.f64 2 x))
(fma.f64 (sqrt.f64 (/.f64 2 x)) (sqrt.f64 (/.f64 2 x)) (*.f64 -1/4 x))
(fma.f64 (sqrt.f64 (*.f64 -1/4 x)) (sqrt.f64 (*.f64 -1/4 x)) (/.f64 2 x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 (fma.f64 -1/4 x (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)))))) 1)
(*.f64 2 (/.f64 1 (fma.f64 -1/4 x (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)))))
(*.f64 1 (/.f64 2 (fma.f64 -1/4 x (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)))))
(*.f64 (/.f64 2 (fma.f64 -1/4 x (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)))) 1)
(*.f64 (cbrt.f64 (/.f64 2 (fma.f64 -1/4 x (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x))))) (cbrt.f64 (/.f64 4 (pow.f64 (fma.f64 -1/4 x (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x))) 2))))
(*.f64 (cbrt.f64 (/.f64 4 (pow.f64 (fma.f64 -1/4 x (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x))) 2))) (cbrt.f64 (/.f64 2 (fma.f64 -1/4 x (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x))))))
(*.f64 (sqrt.f64 (/.f64 2 (fma.f64 -1/4 x (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x))))) (sqrt.f64 (/.f64 2 (fma.f64 -1/4 x (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x))))))
(*.f64 -2 (/.f64 1 (neg.f64 (fma.f64 -1/4 x (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x))))))
(*.f64 (/.f64 1 (fma.f64 -1/4 x (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)))) 2)
(*.f64 (/.f64 2 (+.f64 (pow.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) 3) (*.f64 (pow.f64 x 3) -1/64))) (+.f64 (*.f64 (pow.f64 x 2) 1/16) (*.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) (-.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) (*.f64 -1/4 x)))))
(*.f64 (/.f64 2 (-.f64 (*.f64 (pow.f64 x 2) 1/16) (pow.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) 2))) (-.f64 (*.f64 -1/4 x) (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x))))
(pow.f64 (/.f64 2 (fma.f64 -1/4 x (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)))) 1)
(pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 -1/4 x (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x))))) 3)
(pow.f64 (pow.f64 (/.f64 2 (fma.f64 -1/4 x (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 2 (fma.f64 -1/4 x (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x))))) 2)
(pow.f64 (*.f64 (fma.f64 -1/4 x (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x))) 1/2) -1)
(sqrt.f64 (/.f64 4 (pow.f64 (fma.f64 -1/4 x (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x))) 2)))
(log.f64 (exp.f64 (/.f64 2 (fma.f64 -1/4 x (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (fma.f64 -1/4 x (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)))))))
(cbrt.f64 (pow.f64 (/.f64 2 (fma.f64 -1/4 x (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)))) 3))
(expm1.f64 (log1p.f64 (/.f64 2 (fma.f64 -1/4 x (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x))))))
(exp.f64 (log.f64 (/.f64 2 (fma.f64 -1/4 x (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x))))))
(exp.f64 (*.f64 (log.f64 (/.f64 2 (fma.f64 -1/4 x (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x))))) 1))
(log1p.f64 (expm1.f64 (/.f64 2 (fma.f64 -1/4 x (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -5/64 (pow.f64 x 3)))) 1)
(pow.f64 (*.f64 -5/64 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (cbrt.f64 -5/64)) 3)
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -125/262144) 1/3)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -5/64)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 6) 25/4096))
(log.f64 (pow.f64 (exp.f64 -5/64) (pow.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -5/64 (pow.f64 x 3)))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -125/262144))
(expm1.f64 (log1p.f64 (*.f64 -5/64 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 -5/64 (pow.f64 x 3))))
(exp.f64 (*.f64 (log.f64 (*.f64 -5/64 (pow.f64 x 3))) 1))
(log1p.f64 (expm1.f64 (*.f64 -5/64 (pow.f64 x 3))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/4 x (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x))))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 x 2) 1/16) (-.f64 (*.f64 -1/4 x) (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)))) (/.f64 (pow.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) 2) (-.f64 (*.f64 -1/4 x) (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)))))
(*.f64 1 (fma.f64 -1/4 x (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x))))
(*.f64 (fma.f64 -1/4 x (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x))) 1)
(*.f64 (cbrt.f64 (fma.f64 -1/4 x (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)))) (pow.f64 (cbrt.f64 (fma.f64 -1/4 x (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/4 x (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)))) 2) (cbrt.f64 (fma.f64 -1/4 x (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)))))
(*.f64 (sqrt.f64 (fma.f64 -1/4 x (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)))) (sqrt.f64 (fma.f64 -1/4 x (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)))))
(*.f64 (+.f64 (pow.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) 3) (*.f64 (pow.f64 x 3) -1/64)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 2) 1/16) (*.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) (-.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) (*.f64 -1/4 x))))))
(*.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/16) (pow.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) 2)) (/.f64 1 (-.f64 (*.f64 -1/4 x) (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)))))
(/.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/16) (*.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) (-.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) (*.f64 -1/4 x)))) (+.f64 (pow.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) 3) (*.f64 (pow.f64 x 3) -1/64))))
(/.f64 1 (/.f64 (-.f64 (*.f64 -1/4 x) (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x))) (-.f64 (*.f64 (pow.f64 x 2) 1/16) (pow.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) 2))))
(/.f64 (+.f64 (pow.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) 3) (*.f64 (pow.f64 x 3) -1/64)) (+.f64 (*.f64 (pow.f64 x 2) 1/16) (*.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) (-.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) (*.f64 -1/4 x)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) 3) (*.f64 (pow.f64 x 3) -1/64)) (+.f64 (pow.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) 2) (-.f64 (*.f64 (pow.f64 x 2) 1/16) (*.f64 -1/4 (*.f64 x (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/16) (pow.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) 2)) (-.f64 (*.f64 -1/4 x) (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) 3) (*.f64 (pow.f64 x 3) -1/64))) (neg.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/16) (*.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) (-.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) (*.f64 -1/4 x))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/16) (pow.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) 2))) (neg.f64 (-.f64 (*.f64 -1/4 x) (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/4 x (*.f64 -5/64 (pow.f64 x 3))) 3) (pow.f64 (/.f64 2 x) 3)) (+.f64 (*.f64 (fma.f64 -1/4 x (*.f64 -5/64 (pow.f64 x 3))) (fma.f64 -1/4 x (*.f64 -5/64 (pow.f64 x 3)))) (-.f64 (*.f64 (pow.f64 x -2) 4) (*.f64 (fma.f64 -1/4 x (*.f64 -5/64 (pow.f64 x 3))) (/.f64 2 x)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) 2) (*.f64 (pow.f64 x 2) 1/16)) (-.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) (*.f64 -1/4 x)))
(/.f64 (-.f64 (*.f64 (fma.f64 -1/4 x (*.f64 -5/64 (pow.f64 x 3))) (fma.f64 -1/4 x (*.f64 -5/64 (pow.f64 x 3)))) (*.f64 (pow.f64 x -2) 4)) (-.f64 (fma.f64 -1/4 x (*.f64 -5/64 (pow.f64 x 3))) (/.f64 2 x)))
(pow.f64 (fma.f64 -1/4 x (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x))) 1)
(pow.f64 (cbrt.f64 (fma.f64 -1/4 x (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)))) 3)
(pow.f64 (pow.f64 (fma.f64 -1/4 x (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -1/4 x (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 -1/4 x (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x))) 2))
(log.f64 (exp.f64 (fma.f64 -1/4 x (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/4 x (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x))))))
(cbrt.f64 (pow.f64 (fma.f64 -1/4 x (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x))) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/4 x (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)))))
(exp.f64 (log.f64 (fma.f64 -1/4 x (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/4 x (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 -1/4 x (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)))))
(fma.f64 -1/4 x (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)))
(fma.f64 x -1/4 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)))
(fma.f64 1 (*.f64 -1/4 x) (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)))
(fma.f64 1 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) (*.f64 -1/4 x))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x))) 2) (cbrt.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x))) (*.f64 -1/4 x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 -1/4 x)) 2) (cbrt.f64 (*.f64 -1/4 x)) (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)))
(fma.f64 (sqrt.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x))) (sqrt.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x))) (*.f64 -1/4 x))
(fma.f64 (sqrt.f64 (*.f64 -1/4 x)) (sqrt.f64 (*.f64 -1/4 x)) (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 x 6) 25/4096) (fma.f64 -5/64 (pow.f64 x 3) (/.f64 -2 x))) (/.f64 (*.f64 (pow.f64 x -2) 4) (fma.f64 -5/64 (pow.f64 x 3) (/.f64 -2 x))))
(*.f64 1 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)))
(*.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) 1)
(*.f64 (cbrt.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x))) (pow.f64 (cbrt.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x))) 2) (cbrt.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x))))
(*.f64 (sqrt.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x))) (sqrt.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x))))
(*.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -125/262144) (pow.f64 (/.f64 2 x) 3)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 6) 25/4096) (*.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 -5/64 (pow.f64 x 3)))))))
(*.f64 (-.f64 (*.f64 (pow.f64 x 6) 25/4096) (*.f64 (pow.f64 x -2) 4)) (/.f64 1 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 -2 x))))
(/.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 x 6) 25/4096) (*.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 -5/64 (pow.f64 x 3))))) (+.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -125/262144) (pow.f64 (/.f64 2 x) 3))))
(/.f64 1 (/.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 -2 x)) (-.f64 (*.f64 (pow.f64 x 6) 25/4096) (*.f64 (pow.f64 x -2) 4))))
(/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -125/262144) (pow.f64 (/.f64 2 x) 3)) (+.f64 (*.f64 (pow.f64 x 6) 25/4096) (*.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 -5/64 (pow.f64 x 3))))))
(/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -125/262144) (pow.f64 (/.f64 2 x) 3)) (+.f64 (*.f64 (pow.f64 x -2) 4) (-.f64 (*.f64 (pow.f64 x 6) 25/4096) (*.f64 (pow.f64 x 3) (*.f64 -5/64 (/.f64 2 x))))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 25/4096) (*.f64 (pow.f64 x -2) 4)) (fma.f64 -5/64 (pow.f64 x 3) (/.f64 -2 x)))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -125/262144) (pow.f64 (/.f64 2 x) 3))) (neg.f64 (+.f64 (*.f64 (pow.f64 x 6) 25/4096) (*.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 -5/64 (pow.f64 x 3)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 6) 25/4096) (*.f64 (pow.f64 x -2) 4))) (neg.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 -2 x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x -2) 4) (*.f64 (pow.f64 x 6) 25/4096)) (-.f64 (/.f64 2 x) (*.f64 -5/64 (pow.f64 x 3))))
(pow.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) 1)
(pow.f64 (cbrt.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x))) 3)
(pow.f64 (pow.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x))) 2)
(sqrt.f64 (pow.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) 2))
(log.f64 (exp.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)))))
(cbrt.f64 (pow.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x))))
(exp.f64 (log.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x))) 1))
(log1p.f64 (expm1.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x))))
(fma.f64 2 (/.f64 1 x) (*.f64 -5/64 (pow.f64 x 3)))
(fma.f64 1 (/.f64 2 x) (*.f64 -5/64 (pow.f64 x 3)))
(fma.f64 1 (*.f64 -5/64 (pow.f64 x 3)) (/.f64 2 x))
(fma.f64 (/.f64 1 x) 2 (*.f64 -5/64 (pow.f64 x 3)))
(fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x))
(fma.f64 (pow.f64 x 3) -5/64 (/.f64 2 x))
(fma.f64 (pow.f64 (*.f64 x (cbrt.f64 -5/64)) 2) (*.f64 x (cbrt.f64 -5/64)) (/.f64 2 x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (cbrt.f64 (/.f64 2 x)) (*.f64 -5/64 (pow.f64 x 3)))
(fma.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -5/64)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 -5/64)) (/.f64 2 x))
(fma.f64 (sqrt.f64 (/.f64 2 x)) (sqrt.f64 (/.f64 2 x)) (*.f64 -5/64 (pow.f64 x 3)))
(-.f64 (exp.f64 (log1p.f64 x)) 1)
(*.f64 2 (*.f64 x 1/2))
(*.f64 x 1)
(*.f64 1 x)
(*.f64 -1 (neg.f64 x))
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 -2 (/.f64 1 (/.f64 -2 x)))
(*.f64 (*.f64 x 1/2) 2)
(pow.f64 x 1)
(pow.f64 (/.f64 1 x) -1)
(pow.f64 (pow.f64 x 3) 1/3)
(pow.f64 (cbrt.f64 x) 3)
(pow.f64 (sqrt.f64 x) 2)
(sqrt.f64 (pow.f64 x 2))
(log.f64 (exp.f64 x))
(log.f64 (+.f64 1 (expm1.f64 x)))
(cbrt.f64 (pow.f64 x 3))
x
(expm1.f64 (log1p.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 x) 1))
(log1p.f64 (expm1.f64 x))

simplify209.0ms (3.7%)

Algorithm
egg-herbie
Rules
926×fma-neg
904×log-prod
618×associate-*r*
572×fma-def
554×cube-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04859655
111289421
251059289
Stop Event
node limit
Counts
249 → 299
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 2 x)
(*.f64 -1/4 x)
(*.f64 -1/4 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 3/256 (pow.f64 x 7)) (+.f64 (*.f64 7/128 (pow.f64 x 5)) (*.f64 1/8 (pow.f64 x 3)))))
(/.f64 -128/5 (pow.f64 x 3))
(-.f64 (*.f64 2048/25 (/.f64 1 (pow.f64 x 5))) (*.f64 128/5 (/.f64 1 (pow.f64 x 3))))
(-.f64 (*.f64 2048/25 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 114688/125 (/.f64 1 (pow.f64 x 7))) (*.f64 128/5 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (*.f64 2048/25 (/.f64 1 (pow.f64 x 5))) (*.f64 3145728/625 (/.f64 1 (pow.f64 x 9)))) (+.f64 (*.f64 114688/125 (/.f64 1 (pow.f64 x 7))) (*.f64 128/5 (/.f64 1 (pow.f64 x 3)))))
(/.f64 -128/5 (pow.f64 x 3))
(-.f64 (*.f64 2048/25 (/.f64 1 (pow.f64 x 5))) (*.f64 128/5 (/.f64 1 (pow.f64 x 3))))
(-.f64 (*.f64 2048/25 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 114688/125 (/.f64 1 (pow.f64 x 7))) (*.f64 128/5 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (*.f64 2048/25 (/.f64 1 (pow.f64 x 5))) (*.f64 3145728/625 (/.f64 1 (pow.f64 x 9)))) (+.f64 (*.f64 114688/125 (/.f64 1 (pow.f64 x 7))) (*.f64 128/5 (/.f64 1 (pow.f64 x 3)))))
(/.f64 2 x)
(+.f64 (*.f64 -1/4 x) (*.f64 2 (/.f64 1 x)))
(*.f64 -5/64 (pow.f64 x 3))
(+.f64 (*.f64 -1/4 x) (*.f64 -5/64 (pow.f64 x 3)))
(*.f64 -5/64 (pow.f64 x 3))
(+.f64 (*.f64 -1/4 x) (*.f64 -5/64 (pow.f64 x 3)))
(/.f64 2 x)
(*.f64 -5/64 (pow.f64 x 3))
(*.f64 -5/64 (pow.f64 x 3))
x
x
x
x
x
x
x
x
x
x
x
x
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 (fma.f64 -1/4 x (/.f64 2 x))))) 1)
(*.f64 2 (/.f64 1 (fma.f64 -1/4 x (/.f64 2 x))))
(*.f64 1 (/.f64 2 (fma.f64 -1/4 x (/.f64 2 x))))
(*.f64 (/.f64 2 (fma.f64 -1/4 x (/.f64 2 x))) 1)
(*.f64 (cbrt.f64 (/.f64 2 (fma.f64 -1/4 x (/.f64 2 x)))) (pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 -1/4 x (/.f64 2 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 -1/4 x (/.f64 2 x)))) 2) (cbrt.f64 (/.f64 2 (fma.f64 -1/4 x (/.f64 2 x)))))
(*.f64 (sqrt.f64 (/.f64 2 (fma.f64 -1/4 x (/.f64 2 x)))) (sqrt.f64 (/.f64 2 (fma.f64 -1/4 x (/.f64 2 x)))))
(*.f64 -2 (/.f64 1 (neg.f64 (fma.f64 -1/4 x (/.f64 2 x)))))
(*.f64 (/.f64 1 (fma.f64 -1/4 x (/.f64 2 x))) 2)
(*.f64 (/.f64 2 (+.f64 (pow.f64 (/.f64 2 x) 3) (*.f64 (pow.f64 x 3) -1/64))) (+.f64 (*.f64 (pow.f64 x 2) 1/16) (*.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 -1/4 x)))))
(*.f64 (/.f64 2 (-.f64 (*.f64 (pow.f64 x 2) 1/16) (*.f64 (pow.f64 x -2) 4))) (fma.f64 -1/4 x (/.f64 -2 x)))
(pow.f64 (/.f64 2 (fma.f64 -1/4 x (/.f64 2 x))) 1)
(pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 -1/4 x (/.f64 2 x)))) 3)
(pow.f64 (pow.f64 (/.f64 2 (fma.f64 -1/4 x (/.f64 2 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 2 (fma.f64 -1/4 x (/.f64 2 x)))) 2)
(pow.f64 (*.f64 (fma.f64 -1/4 x (/.f64 2 x)) 1/2) -1)
(sqrt.f64 (/.f64 4 (pow.f64 (fma.f64 -1/4 x (/.f64 2 x)) 2)))
(log.f64 (exp.f64 (/.f64 2 (fma.f64 -1/4 x (/.f64 2 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (fma.f64 -1/4 x (/.f64 2 x))))))
(cbrt.f64 (pow.f64 (/.f64 2 (fma.f64 -1/4 x (/.f64 2 x))) 3))
(expm1.f64 (log1p.f64 (/.f64 2 (fma.f64 -1/4 x (/.f64 2 x)))))
(exp.f64 (log.f64 (/.f64 2 (fma.f64 -1/4 x (/.f64 2 x)))))
(exp.f64 (*.f64 (log.f64 (/.f64 2 (fma.f64 -1/4 x (/.f64 2 x)))) 1))
(log1p.f64 (expm1.f64 (/.f64 2 (fma.f64 -1/4 x (/.f64 2 x)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/4 x (/.f64 2 x)))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 x 2) 1/16) (fma.f64 -1/4 x (/.f64 -2 x))) (/.f64 (*.f64 (pow.f64 x -2) 4) (fma.f64 -1/4 x (/.f64 -2 x))))
(*.f64 1 (fma.f64 -1/4 x (/.f64 2 x)))
(*.f64 (fma.f64 -1/4 x (/.f64 2 x)) 1)
(*.f64 (cbrt.f64 (fma.f64 -1/4 x (/.f64 2 x))) (pow.f64 (cbrt.f64 (fma.f64 -1/4 x (/.f64 2 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/4 x (/.f64 2 x))) 2) (cbrt.f64 (fma.f64 -1/4 x (/.f64 2 x))))
(*.f64 (sqrt.f64 (fma.f64 -1/4 x (/.f64 2 x))) (sqrt.f64 (fma.f64 -1/4 x (/.f64 2 x))))
(*.f64 (+.f64 (pow.f64 (/.f64 2 x) 3) (*.f64 (pow.f64 x 3) -1/64)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 2) 1/16) (*.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 -1/4 x))))))
(*.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/16) (*.f64 (pow.f64 x -2) 4)) (/.f64 1 (fma.f64 -1/4 x (/.f64 -2 x))))
(/.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/16) (*.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 -1/4 x)))) (+.f64 (pow.f64 (/.f64 2 x) 3) (*.f64 (pow.f64 x 3) -1/64))))
(/.f64 1 (/.f64 (fma.f64 -1/4 x (/.f64 -2 x)) (-.f64 (*.f64 (pow.f64 x 2) 1/16) (*.f64 (pow.f64 x -2) 4))))
(/.f64 (+.f64 (pow.f64 (/.f64 2 x) 3) (*.f64 (pow.f64 x 3) -1/64)) (+.f64 (*.f64 (pow.f64 x 2) 1/16) (*.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 -1/4 x)))))
(/.f64 (+.f64 (pow.f64 (/.f64 2 x) 3) (*.f64 (pow.f64 x 3) -1/64)) (+.f64 (*.f64 (pow.f64 x -2) 4) (-.f64 (*.f64 (pow.f64 x 2) 1/16) (*.f64 -1/4 (*.f64 x (/.f64 2 x))))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/16) (*.f64 (pow.f64 x -2) 4)) (fma.f64 -1/4 x (/.f64 -2 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 2 x) 3) (*.f64 (pow.f64 x 3) -1/64))) (neg.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/16) (*.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 -1/4 x))))))
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(fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x))
(fma.f64 (pow.f64 x 3) -5/64 (/.f64 2 x))
(fma.f64 (pow.f64 (*.f64 x (cbrt.f64 -5/64)) 2) (*.f64 x (cbrt.f64 -5/64)) (/.f64 2 x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (cbrt.f64 (/.f64 2 x)) (*.f64 -5/64 (pow.f64 x 3)))
(fma.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -5/64)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 -5/64)) (/.f64 2 x))
(fma.f64 (sqrt.f64 (/.f64 2 x)) (sqrt.f64 (/.f64 2 x)) (*.f64 -5/64 (pow.f64 x 3)))
(-.f64 (exp.f64 (log1p.f64 x)) 1)
(*.f64 2 (*.f64 x 1/2))
(*.f64 x 1)
(*.f64 1 x)
(*.f64 -1 (neg.f64 x))
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 -2 (/.f64 1 (/.f64 -2 x)))
(*.f64 (*.f64 x 1/2) 2)
(pow.f64 x 1)
(pow.f64 (/.f64 1 x) -1)
(pow.f64 (pow.f64 x 3) 1/3)
(pow.f64 (cbrt.f64 x) 3)
(pow.f64 (sqrt.f64 x) 2)
(sqrt.f64 (pow.f64 x 2))
(log.f64 (exp.f64 x))
(log.f64 (+.f64 1 (expm1.f64 x)))
(cbrt.f64 (pow.f64 x 3))
(expm1.f64 (log1p.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 x) 1))
(log1p.f64 (expm1.f64 x))
Outputs
x
(+.f64 x (*.f64 1/8 (pow.f64 x 3)))
(fma.f64 1/8 (pow.f64 x 3) x)
(+.f64 x (+.f64 (*.f64 1/64 (pow.f64 x 5)) (*.f64 1/8 (pow.f64 x 3))))
(+.f64 x (fma.f64 1/64 (pow.f64 x 5) (*.f64 1/8 (pow.f64 x 3))))
(+.f64 (fma.f64 1/8 (pow.f64 x 3) x) (*.f64 1/64 (pow.f64 x 5)))
(+.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 (fma.f64 1/512 (pow.f64 x 7) (*.f64 1/64 (pow.f64 x 5))) (fma.f64 1/8 (pow.f64 x 3) x))
(/.f64 -8 x)
(neg.f64 (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 64 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (/.f64 8 x) (/.f64 64 (pow.f64 x 3))))
(+.f64 (/.f64 -64 (pow.f64 x 3)) (/.f64 -8 x))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 512 (/.f64 1 (pow.f64 x 5))) (*.f64 8 (/.f64 1 x)))))
(neg.f64 (+.f64 (/.f64 64 (pow.f64 x 3)) (+.f64 (/.f64 8 x) (/.f64 512 (pow.f64 x 5)))))
(-.f64 (/.f64 -64 (pow.f64 x 3)) (+.f64 (/.f64 8 x) (/.f64 512 (pow.f64 x 5))))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 512 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 4096 (/.f64 1 (pow.f64 x 7))) (*.f64 8 (/.f64 1 x))))))
(neg.f64 (+.f64 (+.f64 (/.f64 64 (pow.f64 x 3)) (/.f64 512 (pow.f64 x 5))) (+.f64 (/.f64 8 x) (/.f64 4096 (pow.f64 x 7)))))
(-.f64 (/.f64 -64 (pow.f64 x 3)) (+.f64 (/.f64 8 x) (+.f64 (/.f64 512 (pow.f64 x 5)) (/.f64 4096 (pow.f64 x 7)))))
(/.f64 -8 x)
(neg.f64 (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 64 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (/.f64 8 x) (/.f64 64 (pow.f64 x 3))))
(+.f64 (/.f64 -64 (pow.f64 x 3)) (/.f64 -8 x))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 512 (/.f64 1 (pow.f64 x 5))) (*.f64 8 (/.f64 1 x)))))
(neg.f64 (+.f64 (/.f64 64 (pow.f64 x 3)) (+.f64 (/.f64 8 x) (/.f64 512 (pow.f64 x 5)))))
(-.f64 (/.f64 -64 (pow.f64 x 3)) (+.f64 (/.f64 8 x) (/.f64 512 (pow.f64 x 5))))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 512 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 4096 (/.f64 1 (pow.f64 x 7))) (*.f64 8 (/.f64 1 x))))))
(neg.f64 (+.f64 (+.f64 (/.f64 64 (pow.f64 x 3)) (/.f64 512 (pow.f64 x 5))) (+.f64 (/.f64 8 x) (/.f64 4096 (pow.f64 x 7)))))
(-.f64 (/.f64 -64 (pow.f64 x 3)) (+.f64 (/.f64 8 x) (+.f64 (/.f64 512 (pow.f64 x 5)) (/.f64 4096 (pow.f64 x 7)))))
(/.f64 2 x)
(*.f64 -1/4 x)
(*.f64 x -1/4)
(*.f64 -1/4 x)
(*.f64 x -1/4)
x
(+.f64 x (*.f64 1/8 (pow.f64 x 3)))
(fma.f64 1/8 (pow.f64 x 3) x)
(+.f64 x (+.f64 (*.f64 7/128 (pow.f64 x 5)) (*.f64 1/8 (pow.f64 x 3))))
(+.f64 x (fma.f64 7/128 (pow.f64 x 5) (*.f64 1/8 (pow.f64 x 3))))
(+.f64 (fma.f64 1/8 (pow.f64 x 3) x) (*.f64 (pow.f64 x 5) 7/128))
(+.f64 x (+.f64 (*.f64 3/256 (pow.f64 x 7)) (+.f64 (*.f64 7/128 (pow.f64 x 5)) (*.f64 1/8 (pow.f64 x 3)))))
(+.f64 x (fma.f64 3/256 (pow.f64 x 7) (fma.f64 7/128 (pow.f64 x 5) (*.f64 1/8 (pow.f64 x 3)))))
(+.f64 (fma.f64 (pow.f64 x 7) 3/256 (*.f64 (pow.f64 x 5) 7/128)) (fma.f64 1/8 (pow.f64 x 3) x))
(/.f64 -128/5 (pow.f64 x 3))
(-.f64 (*.f64 2048/25 (/.f64 1 (pow.f64 x 5))) (*.f64 128/5 (/.f64 1 (pow.f64 x 3))))
(-.f64 (/.f64 2048/25 (pow.f64 x 5)) (/.f64 128/5 (pow.f64 x 3)))
(+.f64 (/.f64 2048/25 (pow.f64 x 5)) (/.f64 -128/5 (pow.f64 x 3)))
(-.f64 (*.f64 2048/25 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 114688/125 (/.f64 1 (pow.f64 x 7))) (*.f64 128/5 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (-.f64 (/.f64 2048/25 (pow.f64 x 5)) (/.f64 114688/125 (pow.f64 x 7))) (/.f64 128/5 (pow.f64 x 3)))
(+.f64 (-.f64 (/.f64 2048/25 (pow.f64 x 5)) (/.f64 114688/125 (pow.f64 x 7))) (/.f64 -128/5 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 2048/25 (/.f64 1 (pow.f64 x 5))) (*.f64 3145728/625 (/.f64 1 (pow.f64 x 9)))) (+.f64 (*.f64 114688/125 (/.f64 1 (pow.f64 x 7))) (*.f64 128/5 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 2048/25 (pow.f64 x 5)) (/.f64 3145728/625 (pow.f64 x 9))) (+.f64 (/.f64 128/5 (pow.f64 x 3)) (/.f64 114688/125 (pow.f64 x 7))))
(+.f64 (/.f64 2048/25 (pow.f64 x 5)) (-.f64 (-.f64 (/.f64 3145728/625 (pow.f64 x 9)) (/.f64 114688/125 (pow.f64 x 7))) (/.f64 128/5 (pow.f64 x 3))))
(/.f64 -128/5 (pow.f64 x 3))
(-.f64 (*.f64 2048/25 (/.f64 1 (pow.f64 x 5))) (*.f64 128/5 (/.f64 1 (pow.f64 x 3))))
(-.f64 (/.f64 2048/25 (pow.f64 x 5)) (/.f64 128/5 (pow.f64 x 3)))
(+.f64 (/.f64 2048/25 (pow.f64 x 5)) (/.f64 -128/5 (pow.f64 x 3)))
(-.f64 (*.f64 2048/25 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 114688/125 (/.f64 1 (pow.f64 x 7))) (*.f64 128/5 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (-.f64 (/.f64 2048/25 (pow.f64 x 5)) (/.f64 114688/125 (pow.f64 x 7))) (/.f64 128/5 (pow.f64 x 3)))
(+.f64 (-.f64 (/.f64 2048/25 (pow.f64 x 5)) (/.f64 114688/125 (pow.f64 x 7))) (/.f64 -128/5 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 2048/25 (/.f64 1 (pow.f64 x 5))) (*.f64 3145728/625 (/.f64 1 (pow.f64 x 9)))) (+.f64 (*.f64 114688/125 (/.f64 1 (pow.f64 x 7))) (*.f64 128/5 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 2048/25 (pow.f64 x 5)) (/.f64 3145728/625 (pow.f64 x 9))) (+.f64 (/.f64 128/5 (pow.f64 x 3)) (/.f64 114688/125 (pow.f64 x 7))))
(+.f64 (/.f64 2048/25 (pow.f64 x 5)) (-.f64 (-.f64 (/.f64 3145728/625 (pow.f64 x 9)) (/.f64 114688/125 (pow.f64 x 7))) (/.f64 128/5 (pow.f64 x 3))))
(/.f64 2 x)
(+.f64 (*.f64 -1/4 x) (*.f64 2 (/.f64 1 x)))
(fma.f64 x -1/4 (/.f64 2 x))
(*.f64 -5/64 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -5/64)
(+.f64 (*.f64 -1/4 x) (*.f64 -5/64 (pow.f64 x 3)))
(fma.f64 -1/4 x (*.f64 (pow.f64 x 3) -5/64))
(fma.f64 x -1/4 (*.f64 (pow.f64 x 3) -5/64))
(*.f64 -5/64 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -5/64)
(+.f64 (*.f64 -1/4 x) (*.f64 -5/64 (pow.f64 x 3)))
(fma.f64 -1/4 x (*.f64 (pow.f64 x 3) -5/64))
(fma.f64 x -1/4 (*.f64 (pow.f64 x 3) -5/64))
(/.f64 2 x)
(*.f64 -5/64 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -5/64)
(*.f64 -5/64 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -5/64)
x
x
x
x
x
x
x
x
x
x
x
x
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 (fma.f64 -1/4 x (/.f64 2 x))))) 1)
(/.f64 2 (fma.f64 x -1/4 (/.f64 2 x)))
(*.f64 2 (/.f64 1 (fma.f64 -1/4 x (/.f64 2 x))))
(/.f64 2 (fma.f64 x -1/4 (/.f64 2 x)))
(*.f64 1 (/.f64 2 (fma.f64 -1/4 x (/.f64 2 x))))
(/.f64 2 (fma.f64 x -1/4 (/.f64 2 x)))
(*.f64 (/.f64 2 (fma.f64 -1/4 x (/.f64 2 x))) 1)
(/.f64 2 (fma.f64 x -1/4 (/.f64 2 x)))
(*.f64 (cbrt.f64 (/.f64 2 (fma.f64 -1/4 x (/.f64 2 x)))) (pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 -1/4 x (/.f64 2 x)))) 2))
(/.f64 2 (fma.f64 x -1/4 (/.f64 2 x)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 -1/4 x (/.f64 2 x)))) 2) (cbrt.f64 (/.f64 2 (fma.f64 -1/4 x (/.f64 2 x)))))
(/.f64 2 (fma.f64 x -1/4 (/.f64 2 x)))
(*.f64 (sqrt.f64 (/.f64 2 (fma.f64 -1/4 x (/.f64 2 x)))) (sqrt.f64 (/.f64 2 (fma.f64 -1/4 x (/.f64 2 x)))))
(/.f64 2 (fma.f64 x -1/4 (/.f64 2 x)))
(*.f64 -2 (/.f64 1 (neg.f64 (fma.f64 -1/4 x (/.f64 2 x)))))
(/.f64 2 (fma.f64 x -1/4 (/.f64 2 x)))
(*.f64 (/.f64 1 (fma.f64 -1/4 x (/.f64 2 x))) 2)
(/.f64 2 (fma.f64 x -1/4 (/.f64 2 x)))
(*.f64 (/.f64 2 (+.f64 (pow.f64 (/.f64 2 x) 3) (*.f64 (pow.f64 x 3) -1/64))) (+.f64 (*.f64 (pow.f64 x 2) 1/16) (*.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 -1/4 x)))))
(*.f64 (/.f64 2 (+.f64 (pow.f64 (/.f64 2 x) 3) (*.f64 (pow.f64 x 3) -1/64))) (fma.f64 (pow.f64 x 2) 1/16 (*.f64 (/.f64 2 x) (+.f64 (/.f64 2 x) (*.f64 1/4 x)))))
(*.f64 (/.f64 2 (fma.f64 (pow.f64 x 3) -1/64 (/.f64 8 (pow.f64 x 3)))) (fma.f64 (/.f64 2 x) (+.f64 (/.f64 2 x) (*.f64 x 1/4)) (*.f64 (pow.f64 x 2) 1/16)))
(*.f64 (/.f64 2 (fma.f64 (pow.f64 x 3) -1/64 (/.f64 8 (pow.f64 x 3)))) (fma.f64 (pow.f64 x 2) 1/16 (+.f64 (*.f64 (pow.f64 x -2) 4) 1/2)))
(*.f64 (/.f64 2 (-.f64 (*.f64 (pow.f64 x 2) 1/16) (*.f64 (pow.f64 x -2) 4))) (fma.f64 -1/4 x (/.f64 -2 x)))
(/.f64 (*.f64 2 (fma.f64 -1/4 x (/.f64 -2 x))) (-.f64 (*.f64 (pow.f64 x 2) 1/16) (*.f64 (pow.f64 x -2) 4)))
(/.f64 2 (/.f64 (fma.f64 (pow.f64 x 2) 1/16 (*.f64 (pow.f64 x -2) -4)) (fma.f64 x -1/4 (/.f64 -2 x))))
(pow.f64 (/.f64 2 (fma.f64 -1/4 x (/.f64 2 x))) 1)
(/.f64 2 (fma.f64 x -1/4 (/.f64 2 x)))
(pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 -1/4 x (/.f64 2 x)))) 3)
(/.f64 2 (fma.f64 x -1/4 (/.f64 2 x)))
(pow.f64 (pow.f64 (/.f64 2 (fma.f64 -1/4 x (/.f64 2 x))) 3) 1/3)
(/.f64 2 (fma.f64 x -1/4 (/.f64 2 x)))
(pow.f64 (sqrt.f64 (/.f64 2 (fma.f64 -1/4 x (/.f64 2 x)))) 2)
(/.f64 2 (fma.f64 x -1/4 (/.f64 2 x)))
(pow.f64 (*.f64 (fma.f64 -1/4 x (/.f64 2 x)) 1/2) -1)
(/.f64 2 (fma.f64 x -1/4 (/.f64 2 x)))
(sqrt.f64 (/.f64 4 (pow.f64 (fma.f64 -1/4 x (/.f64 2 x)) 2)))
(sqrt.f64 (/.f64 4 (pow.f64 (fma.f64 x -1/4 (/.f64 2 x)) 2)))
(log.f64 (exp.f64 (/.f64 2 (fma.f64 -1/4 x (/.f64 2 x)))))
(/.f64 2 (fma.f64 x -1/4 (/.f64 2 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (fma.f64 -1/4 x (/.f64 2 x))))))
(/.f64 2 (fma.f64 x -1/4 (/.f64 2 x)))
(cbrt.f64 (pow.f64 (/.f64 2 (fma.f64 -1/4 x (/.f64 2 x))) 3))
(/.f64 2 (fma.f64 x -1/4 (/.f64 2 x)))
(expm1.f64 (log1p.f64 (/.f64 2 (fma.f64 -1/4 x (/.f64 2 x)))))
(/.f64 2 (fma.f64 x -1/4 (/.f64 2 x)))
(exp.f64 (log.f64 (/.f64 2 (fma.f64 -1/4 x (/.f64 2 x)))))
(/.f64 2 (fma.f64 x -1/4 (/.f64 2 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 2 (fma.f64 -1/4 x (/.f64 2 x)))) 1))
(/.f64 2 (fma.f64 x -1/4 (/.f64 2 x)))
(log1p.f64 (expm1.f64 (/.f64 2 (fma.f64 -1/4 x (/.f64 2 x)))))
(/.f64 2 (fma.f64 x -1/4 (/.f64 2 x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/4 x (/.f64 2 x)))) 1)
(fma.f64 x -1/4 (/.f64 2 x))
(-.f64 (/.f64 (*.f64 (pow.f64 x 2) 1/16) (fma.f64 -1/4 x (/.f64 -2 x))) (/.f64 (*.f64 (pow.f64 x -2) 4) (fma.f64 -1/4 x (/.f64 -2 x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/16) (*.f64 (pow.f64 x -2) 4)) (fma.f64 -1/4 x (/.f64 -2 x)))
(/.f64 (fma.f64 (pow.f64 x 2) 1/16 (*.f64 (pow.f64 x -2) -4)) (fma.f64 x -1/4 (/.f64 -2 x)))
(*.f64 1 (fma.f64 -1/4 x (/.f64 2 x)))
(fma.f64 x -1/4 (/.f64 2 x))
(*.f64 (fma.f64 -1/4 x (/.f64 2 x)) 1)
(fma.f64 x -1/4 (/.f64 2 x))
(*.f64 (cbrt.f64 (fma.f64 -1/4 x (/.f64 2 x))) (pow.f64 (cbrt.f64 (fma.f64 -1/4 x (/.f64 2 x))) 2))
(fma.f64 x -1/4 (/.f64 2 x))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/4 x (/.f64 2 x))) 2) (cbrt.f64 (fma.f64 -1/4 x (/.f64 2 x))))
(fma.f64 x -1/4 (/.f64 2 x))
(*.f64 (sqrt.f64 (fma.f64 -1/4 x (/.f64 2 x))) (sqrt.f64 (fma.f64 -1/4 x (/.f64 2 x))))
(fma.f64 x -1/4 (/.f64 2 x))
(*.f64 (+.f64 (pow.f64 (/.f64 2 x) 3) (*.f64 (pow.f64 x 3) -1/64)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 2) 1/16) (*.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 -1/4 x))))))
(/.f64 1 (/.f64 (fma.f64 (pow.f64 x 2) 1/16 (*.f64 (/.f64 2 x) (+.f64 (/.f64 2 x) (*.f64 1/4 x)))) (+.f64 (pow.f64 (/.f64 2 x) 3) (*.f64 (pow.f64 x 3) -1/64))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/64 (/.f64 8 (pow.f64 x 3))) (fma.f64 (/.f64 2 x) (+.f64 (/.f64 2 x) (*.f64 x 1/4)) (*.f64 (pow.f64 x 2) 1/16)))
(/.f64 (fma.f64 (pow.f64 x 3) -1/64 (/.f64 8 (pow.f64 x 3))) (fma.f64 (pow.f64 x 2) 1/16 (+.f64 (*.f64 (pow.f64 x -2) 4) 1/2)))
(*.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/16) (*.f64 (pow.f64 x -2) 4)) (/.f64 1 (fma.f64 -1/4 x (/.f64 -2 x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/16) (*.f64 (pow.f64 x -2) 4)) (fma.f64 -1/4 x (/.f64 -2 x)))
(/.f64 (fma.f64 (pow.f64 x 2) 1/16 (*.f64 (pow.f64 x -2) -4)) (fma.f64 x -1/4 (/.f64 -2 x)))
(/.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/16) (*.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 -1/4 x)))) (+.f64 (pow.f64 (/.f64 2 x) 3) (*.f64 (pow.f64 x 3) -1/64))))
(/.f64 1 (/.f64 (fma.f64 (pow.f64 x 2) 1/16 (*.f64 (/.f64 2 x) (+.f64 (/.f64 2 x) (*.f64 1/4 x)))) (+.f64 (pow.f64 (/.f64 2 x) 3) (*.f64 (pow.f64 x 3) -1/64))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/64 (/.f64 8 (pow.f64 x 3))) (fma.f64 (/.f64 2 x) (+.f64 (/.f64 2 x) (*.f64 x 1/4)) (*.f64 (pow.f64 x 2) 1/16)))
(/.f64 (fma.f64 (pow.f64 x 3) -1/64 (/.f64 8 (pow.f64 x 3))) (fma.f64 (pow.f64 x 2) 1/16 (+.f64 (*.f64 (pow.f64 x -2) 4) 1/2)))
(/.f64 1 (/.f64 (fma.f64 -1/4 x (/.f64 -2 x)) (-.f64 (*.f64 (pow.f64 x 2) 1/16) (*.f64 (pow.f64 x -2) 4))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/16) (*.f64 (pow.f64 x -2) 4)) (fma.f64 -1/4 x (/.f64 -2 x)))
(/.f64 (fma.f64 (pow.f64 x 2) 1/16 (*.f64 (pow.f64 x -2) -4)) (fma.f64 x -1/4 (/.f64 -2 x)))
(/.f64 (+.f64 (pow.f64 (/.f64 2 x) 3) (*.f64 (pow.f64 x 3) -1/64)) (+.f64 (*.f64 (pow.f64 x 2) 1/16) (*.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 -1/4 x)))))
(/.f64 1 (/.f64 (fma.f64 (pow.f64 x 2) 1/16 (*.f64 (/.f64 2 x) (+.f64 (/.f64 2 x) (*.f64 1/4 x)))) (+.f64 (pow.f64 (/.f64 2 x) 3) (*.f64 (pow.f64 x 3) -1/64))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/64 (/.f64 8 (pow.f64 x 3))) (fma.f64 (/.f64 2 x) (+.f64 (/.f64 2 x) (*.f64 x 1/4)) (*.f64 (pow.f64 x 2) 1/16)))
(/.f64 (fma.f64 (pow.f64 x 3) -1/64 (/.f64 8 (pow.f64 x 3))) (fma.f64 (pow.f64 x 2) 1/16 (+.f64 (*.f64 (pow.f64 x -2) 4) 1/2)))
(/.f64 (+.f64 (pow.f64 (/.f64 2 x) 3) (*.f64 (pow.f64 x 3) -1/64)) (+.f64 (*.f64 (pow.f64 x -2) 4) (-.f64 (*.f64 (pow.f64 x 2) 1/16) (*.f64 -1/4 (*.f64 x (/.f64 2 x))))))
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(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -125/262144 (pow.f64 (/.f64 2 x) 3)) (fma.f64 (pow.f64 x -2) 4 (-.f64 (*.f64 (pow.f64 x 6) 25/4096) (*.f64 (pow.f64 x 3) (/.f64 -5/32 x)))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -125/262144 (/.f64 8 (pow.f64 x 3))) (-.f64 (fma.f64 (pow.f64 x -2) 4 (*.f64 (pow.f64 x 6) 25/4096)) (*.f64 (pow.f64 x 3) (/.f64 -5/32 x))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -125/262144 (/.f64 8 (pow.f64 x 3))) (-.f64 (*.f64 (pow.f64 x 6) 25/4096) (fma.f64 (pow.f64 x 3) (/.f64 -5/32 x) (*.f64 (pow.f64 x -2) -4))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 25/4096) (*.f64 (pow.f64 x -2) 4)) (fma.f64 -5/64 (pow.f64 x 3) (/.f64 -2 x)))
(/.f64 (fma.f64 (pow.f64 x 6) 25/4096 (*.f64 (pow.f64 x -2) -4)) (fma.f64 (pow.f64 x 3) -5/64 (/.f64 -2 x)))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -125/262144) (pow.f64 (/.f64 2 x) 3))) (neg.f64 (+.f64 (*.f64 (pow.f64 x 6) 25/4096) (*.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 -5/64 (pow.f64 x 3)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -125/262144 (pow.f64 (/.f64 2 x) 3))) (neg.f64 (fma.f64 (pow.f64 x 6) 25/4096 (*.f64 (/.f64 2 x) (+.f64 (/.f64 2 x) (*.f64 5/64 (pow.f64 x 3)))))))
(*.f64 1 (/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -125/262144 (/.f64 8 (pow.f64 x 3))) (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 (pow.f64 x 3) -5/64)) (*.f64 (pow.f64 x 6) 25/4096))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) 125/262144 (/.f64 -8 (pow.f64 x 3))) (fma.f64 (pow.f64 x 6) -25/4096 (*.f64 (-.f64 (/.f64 2 x) (*.f64 (pow.f64 x 3) -5/64)) (/.f64 -2 x))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 6) 25/4096) (*.f64 (pow.f64 x -2) 4))) (neg.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 -2 x))))
(/.f64 (fma.f64 (pow.f64 x -2) 4 (*.f64 (pow.f64 x 6) -25/4096)) (-.f64 (*.f64 (pow.f64 x 3) 5/64) (/.f64 -2 x)))
(/.f64 (-.f64 (*.f64 (pow.f64 x -2) 4) (*.f64 (pow.f64 x 6) 25/4096)) (-.f64 (/.f64 2 x) (*.f64 -5/64 (pow.f64 x 3))))
(/.f64 (-.f64 (*.f64 (pow.f64 x -2) 4) (*.f64 (pow.f64 x 6) 25/4096)) (+.f64 (/.f64 2 x) (*.f64 5/64 (pow.f64 x 3))))
(/.f64 (fma.f64 (pow.f64 x -2) 4 (*.f64 (pow.f64 x 6) -25/4096)) (-.f64 (/.f64 2 x) (*.f64 (pow.f64 x 3) -5/64)))
(pow.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) 1)
(fma.f64 (pow.f64 x 3) -5/64 (/.f64 2 x))
(pow.f64 (cbrt.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x))) 3)
(fma.f64 (pow.f64 x 3) -5/64 (/.f64 2 x))
(pow.f64 (pow.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) 3) 1/3)
(fma.f64 (pow.f64 x 3) -5/64 (/.f64 2 x))
(pow.f64 (sqrt.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x))) 2)
(fma.f64 (pow.f64 x 3) -5/64 (/.f64 2 x))
(sqrt.f64 (pow.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) 2))
(fma.f64 (pow.f64 x 3) -5/64 (/.f64 2 x))
(log.f64 (exp.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x))))
(fma.f64 (pow.f64 x 3) -5/64 (/.f64 2 x))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)))))
(fma.f64 (pow.f64 x 3) -5/64 (/.f64 2 x))
(cbrt.f64 (pow.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) 3))
(fma.f64 (pow.f64 x 3) -5/64 (/.f64 2 x))
(expm1.f64 (log1p.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x))))
(fma.f64 (pow.f64 x 3) -5/64 (/.f64 2 x))
(exp.f64 (log.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x))))
(fma.f64 (pow.f64 x 3) -5/64 (/.f64 2 x))
(exp.f64 (*.f64 (log.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x))) 1))
(fma.f64 (pow.f64 x 3) -5/64 (/.f64 2 x))
(log1p.f64 (expm1.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x))))
(fma.f64 (pow.f64 x 3) -5/64 (/.f64 2 x))
(fma.f64 2 (/.f64 1 x) (*.f64 -5/64 (pow.f64 x 3)))
(fma.f64 (pow.f64 x 3) -5/64 (/.f64 2 x))
(fma.f64 1 (/.f64 2 x) (*.f64 -5/64 (pow.f64 x 3)))
(fma.f64 (pow.f64 x 3) -5/64 (/.f64 2 x))
(fma.f64 1 (*.f64 -5/64 (pow.f64 x 3)) (/.f64 2 x))
(fma.f64 (pow.f64 x 3) -5/64 (/.f64 2 x))
(fma.f64 (/.f64 1 x) 2 (*.f64 -5/64 (pow.f64 x 3)))
(fma.f64 (pow.f64 x 3) -5/64 (/.f64 2 x))
(fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x))
(fma.f64 (pow.f64 x 3) -5/64 (/.f64 2 x))
(fma.f64 (pow.f64 x 3) -5/64 (/.f64 2 x))
(fma.f64 (pow.f64 (*.f64 x (cbrt.f64 -5/64)) 2) (*.f64 x (cbrt.f64 -5/64)) (/.f64 2 x))
(fma.f64 (pow.f64 x 3) -5/64 (/.f64 2 x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (cbrt.f64 (/.f64 2 x)) (*.f64 -5/64 (pow.f64 x 3)))
(fma.f64 (pow.f64 x 3) -5/64 (/.f64 2 x))
(fma.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -5/64)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 -5/64)) (/.f64 2 x))
(fma.f64 (pow.f64 x 3) -5/64 (/.f64 2 x))
(fma.f64 (sqrt.f64 (/.f64 2 x)) (sqrt.f64 (/.f64 2 x)) (*.f64 -5/64 (pow.f64 x 3)))
(fma.f64 (pow.f64 x 3) -5/64 (/.f64 2 x))
(-.f64 (exp.f64 (log1p.f64 x)) 1)
x
(*.f64 2 (*.f64 x 1/2))
x
(*.f64 x 1)
x
(*.f64 1 x)
x
(*.f64 -1 (neg.f64 x))
x
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
x
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))
x
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
x
(*.f64 -2 (/.f64 1 (/.f64 -2 x)))
x
(*.f64 (*.f64 x 1/2) 2)
x
(pow.f64 x 1)
x
(pow.f64 (/.f64 1 x) -1)
x
(pow.f64 (pow.f64 x 3) 1/3)
x
(pow.f64 (cbrt.f64 x) 3)
x
(pow.f64 (sqrt.f64 x) 2)
x
(sqrt.f64 (pow.f64 x 2))
x
(log.f64 (exp.f64 x))
x
(log.f64 (+.f64 1 (expm1.f64 x)))
x
(cbrt.f64 (pow.f64 x 3))
x
(expm1.f64 (log1p.f64 x))
x
(exp.f64 (log.f64 x))
x
(exp.f64 (*.f64 (log.f64 x) 1))
x
(log1p.f64 (expm1.f64 x))
x

eval155.0ms (2.8%)

Compiler

Compiled 5990 to 4836 computations (19.3% saved)

prune42.0ms (0.8%)

Pruning

9 alts after pruning (0 fresh and 9 done)

PrunedKeptTotal
New2990299
Fresh000
Picked033
Done066
Total2999308
Accuracy
100.0%
Counts
308 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
22.4%
(/.f64 (+.f64 x (-.f64 1 (-.f64 1 x))) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
100.0%
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
99.8%
(/.f64 2 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x))
98.4%
(/.f64 2 (/.f64 2 x))
99.5%
(/.f64 2 (+.f64 (*.f64 -1/4 x) (+.f64 (*.f64 -5/64 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x)))))
99.1%
(/.f64 2 (+.f64 (*.f64 -1/4 x) (*.f64 2 (/.f64 1 x))))
10.0%
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
99.3%
(+.f64 x (*.f64 1/8 (pow.f64 x 3)))
98.6%
x
Compiler

Compiled 196 to 152 computations (22.4% saved)

regimes8.0ms (0.1%)

Counts
9 → 1
Calls
Call 1
Inputs
x
(/.f64 2 (/.f64 2 x))
(/.f64 2 (+.f64 (*.f64 -1/4 x) (*.f64 2 (/.f64 1 x))))
(+.f64 x (*.f64 1/8 (pow.f64 x 3)))
(/.f64 2 (+.f64 (*.f64 -1/4 x) (+.f64 (*.f64 -5/64 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x)))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(/.f64 2 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x))
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(/.f64 (+.f64 x (-.f64 1 (-.f64 1 x))) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
Outputs
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
Calls

2 calls:

5.0ms
x
3.0ms
(-.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)

regimes7.0ms (0.1%)

Counts
7 → 1
Calls
Call 1
Inputs
x
(/.f64 2 (/.f64 2 x))
(/.f64 2 (+.f64 (*.f64 -1/4 x) (*.f64 2 (/.f64 1 x))))
(+.f64 x (*.f64 1/8 (pow.f64 x 3)))
(/.f64 2 (+.f64 (*.f64 -1/4 x) (+.f64 (*.f64 -5/64 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x)))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(/.f64 2 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x))
Outputs
(/.f64 2 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x))
Calls

2 calls:

4.0ms
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)

regimes8.0ms (0.1%)

Counts
6 → 1
Calls
Call 1
Inputs
x
(/.f64 2 (/.f64 2 x))
(/.f64 2 (+.f64 (*.f64 -1/4 x) (*.f64 2 (/.f64 1 x))))
(+.f64 x (*.f64 1/8 (pow.f64 x 3)))
(/.f64 2 (+.f64 (*.f64 -1/4 x) (+.f64 (*.f64 -5/64 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x)))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
Outputs
(/.f64 2 (+.f64 (*.f64 -1/4 x) (+.f64 (*.f64 -5/64 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x)))))
Calls

2 calls:

6.0ms
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%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
99.3%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0.1%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
99.1%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Accuracy

Total -0.1b remaining (-13.5%)

Threshold costs -0.1b (-13.5%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
98.6%1x
Compiler

Compiled 2 to 1 computations (50% saved)

simplify9.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
036223
154223
258223
360223
461223
Stop Event
done
saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(/.f64 2 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x))
(/.f64 2 (+.f64 (*.f64 -1/4 x) (+.f64 (*.f64 -5/64 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x)))))
(+.f64 x (*.f64 1/8 (pow.f64 x 3)))
(/.f64 2 (+.f64 (*.f64 -1/4 x) (*.f64 2 (/.f64 1 x))))
x
Outputs
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(/.f64 2 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x))
(/.f64 2 (+.f64 (*.f64 -1/4 x) (+.f64 (*.f64 -5/64 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x)))))
(/.f64 2 (+.f64 (*.f64 x -1/4) (+.f64 (*.f64 -5/64 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x)))))
(+.f64 x (*.f64 1/8 (pow.f64 x 3)))
(+.f64 x (*.f64 (pow.f64 x 3) 1/8))
(/.f64 2 (+.f64 (*.f64 -1/4 x) (*.f64 2 (/.f64 1 x))))
(/.f64 2 (+.f64 (*.f64 x -1/4) (*.f64 2 (/.f64 1 x))))
x
Compiler

Compiled 68 to 53 computations (22.1% saved)

soundness425.0ms (7.6%)

Rules
1024×fma-def
1024×fma-def
996×fma-neg
796×distribute-lft-in
792×log1p-expm1-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01261
115861
2214261
01261
115861
2214261
03927256
18386966
225096472
Stop Event
node limit
node limit
node limit
Compiler

Compiled 507 to 390 computations (23.1% saved)

end0.0ms (0%)

preprocess77.0ms (1.4%)

Remove

(negabs x)

Compiler

Compiled 370 to 274 computations (25.9% saved)

Profiling

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