2sqrt (example 3.1)

Time bar (total: 6.7s)

analyze0.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%25%75%0%0%0%0
100%25%0%75%0%0%0%1
Compiler

Compiled 15 to 11 computations (26.7% saved)

sample2.0s (30.5%)

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

preprocess315.0ms (4.7%)

Algorithm
egg-herbie
Rules
264×fma-def
64×sub-neg
44×unsub-neg
42×associate--r+
40×neg-mul-1
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2560-0-(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
00-0-(sqrt.f64 (+.f64 x 1))
00-0-x
00-0-(+.f64 x 1)
00-0-1
00-0-(sqrt.f64 x)
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
017128
133120
261116
3107116
4173116
5263116
6341116
7399116
8452116
9487116
10513116
11515116
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(-.f64 (sqrt.f64 (+.f64 (neg.f64 x) 1)) (sqrt.f64 (neg.f64 x)))
(neg.f64 (-.f64 (sqrt.f64 (+.f64 (neg.f64 x) 1)) (sqrt.f64 (neg.f64 x))))
Outputs
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(-.f64 (sqrt.f64 (+.f64 (neg.f64 x) 1)) (sqrt.f64 (neg.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 (neg.f64 x))) (sqrt.f64 (neg.f64 x)))
(-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (neg.f64 x)))
(neg.f64 (-.f64 (sqrt.f64 (+.f64 (neg.f64 x) 1)) (sqrt.f64 (neg.f64 x))))
(neg.f64 (-.f64 (sqrt.f64 (+.f64 1 (neg.f64 x))) (sqrt.f64 (neg.f64 x))))
(neg.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (neg.f64 x))))
(-.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (-.f64 1 x)))
Compiler

Compiled 48 to 32 computations (33.3% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
6.6%
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
Compiler

Compiled 8 to 6 computations (25% saved)

localize71.0ms (1.1%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
100.0%
(sqrt.f64 (+.f64 x 1))
6.7%
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
Compiler

Compiled 20 to 13 computations (35% saved)

series5.0ms (0.1%)

Counts
2 → 5
Calls

6 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
1.0ms
x
@-inf
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
0.0ms
x
@0
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
0.0ms
x
@inf
(sqrt.f64 (+.f64 x 1))
0.0ms
x
@-inf
(sqrt.f64 (+.f64 x 1))

rewrite200.0ms (3%)

Algorithm
batch-egg-rewrite
Rules
1664×prod-diff
900×fma-def
615×log1p-expm1-u
615×expm1-log1p-u
536×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01141
113241
2173041
Stop Event
node limit
Counts
2 → 144
Calls
Call 1
Inputs
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(sqrt.f64 (+.f64 x 1))
Outputs
(+.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x)))
(+.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (neg.f64 (sqrt.f64 x)) 1))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 x)) 1 (sqrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x 1/6)) (cbrt.f64 x) (sqrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 -1 (sqrt.f64 x) (sqrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 x 1/6) (sqrt.f64 x)))
(+.f64 0 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 x 1)))
(+.f64 (fma.f64 1 (sqrt.f64 (+.f64 x 1)) (neg.f64 (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))))
(+.f64 (fma.f64 (sqrt.f64 (+.f64 x 1)) 1 (neg.f64 (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))))
(+.f64 (fma.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 (+.f64 x 1)) (neg.f64 (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))))
(+.f64 (fma.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (+.f64 x 1) 1/6) (neg.f64 (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))))
(+.f64 (fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) (neg.f64 (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))))
(+.f64 (fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) (neg.f64 (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))
(*.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1)
(*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(*.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(*.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (/.f64 1 (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 x (+.f64 x 1))))))
(*.f64 (+.f64 x (-.f64 1 x)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/4)) (-.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/4)))
(/.f64 1 (/.f64 (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 x (+.f64 x 1)))) (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))))
(/.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 x (-.f64 1 x))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 x (+.f64 x 1)))))
(/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) (neg.f64 (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 x (+.f64 x 1))))))
(/.f64 (neg.f64 (+.f64 x (-.f64 1 x))) (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (neg.f64 (sqrt.f64 x)) 3)) (+.f64 (+.f64 x 1) (-.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) 2) (*.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x))))))
(/.f64 (-.f64 (+.f64 x 1) (pow.f64 (neg.f64 (sqrt.f64 x)) 2)) (-.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x))))
(pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1)
(pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2)
(pow.f64 (/.f64 (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 x (+.f64 x 1)))) (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) -1)
(pow.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 x (-.f64 1 x))) -1)
(sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(log.f64 (*.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))) (/.f64 1 (exp.f64 (sqrt.f64 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (exp.f64 (sqrt.f64 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x 1)))) (exp.f64 (neg.f64 (sqrt.f64 x)))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (sqrt.f64 x))) (exp.f64 (sqrt.f64 (+.f64 x 1)))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (sqrt.f64 x))) (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x 1))))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (sqrt.f64 x))) (exp.f64 (sqrt.f64 (+.f64 x 1)))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (sqrt.f64 x))) (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x 1))))))
(log.f64 (/.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (expm1.f64 (sqrt.f64 x)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x 1)))) (exp.f64 (sqrt.f64 x))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (expm1.f64 (sqrt.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(exp.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 2))
(log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x)))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) (*.f64 (neg.f64 (sqrt.f64 x)) 1))
(fma.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 x)) 1 (sqrt.f64 x)))
(fma.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x 1/6)) (cbrt.f64 x) (sqrt.f64 x)))
(fma.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(fma.f64 1 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 x 1)))
(fma.f64 (sqrt.f64 (+.f64 x 1)) 1 (neg.f64 (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (+.f64 x 1)) 1 (*.f64 (neg.f64 (sqrt.f64 x)) 1))
(fma.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1 (fma.f64 (neg.f64 (sqrt.f64 x)) 1 (sqrt.f64 x)))
(fma.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1 (fma.f64 (neg.f64 (pow.f64 x 1/6)) (cbrt.f64 x) (sqrt.f64 x)))
(fma.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1 (+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(fma.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x)))
(fma.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 (+.f64 x 1)) (*.f64 (neg.f64 (sqrt.f64 x)) 1))
(fma.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2) (fma.f64 (neg.f64 (sqrt.f64 x)) 1 (sqrt.f64 x)))
(fma.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2) (fma.f64 (neg.f64 (pow.f64 x 1/6)) (cbrt.f64 x) (sqrt.f64 x)))
(fma.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2) (+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 x)) 1 (sqrt.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (fma.f64 (neg.f64 (pow.f64 x 1/6)) (cbrt.f64 x) (sqrt.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(fma.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (+.f64 x 1) 1/6) (neg.f64 (sqrt.f64 x)))
(fma.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (+.f64 x 1) 1/6) (*.f64 (neg.f64 (sqrt.f64 x)) 1))
(fma.f64 (cbrt.f64 x) (neg.f64 (pow.f64 x 1/6)) (sqrt.f64 (+.f64 x 1)))
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) (neg.f64 (sqrt.f64 x)))
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) (*.f64 (neg.f64 (sqrt.f64 x)) 1))
(fma.f64 (pow.f64 x 1/4) (neg.f64 (pow.f64 x 1/4)) (sqrt.f64 (+.f64 x 1)))
(fma.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 x)) 1 (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (fma.f64 (neg.f64 (pow.f64 x 1/6)) (cbrt.f64 x) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(fma.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (/.f64 1 (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 x (+.f64 x 1))))) (fma.f64 (neg.f64 (sqrt.f64 x)) 1 (sqrt.f64 x)))
(fma.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (/.f64 1 (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 x (+.f64 x 1))))) (fma.f64 (neg.f64 (pow.f64 x 1/6)) (cbrt.f64 x) (sqrt.f64 x)))
(fma.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (/.f64 1 (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 x (+.f64 x 1))))) (+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(fma.f64 (+.f64 x (-.f64 1 x)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 x)) 1 (sqrt.f64 x)))
(fma.f64 (+.f64 x (-.f64 1 x)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (fma.f64 (neg.f64 (pow.f64 x 1/6)) (cbrt.f64 x) (sqrt.f64 x)))
(fma.f64 (+.f64 x (-.f64 1 x)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(fma.f64 (neg.f64 (pow.f64 x 1/4)) (pow.f64 x 1/4) (sqrt.f64 (+.f64 x 1)))
(fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 x 1/6) (sqrt.f64 (+.f64 x 1)))
(fma.f64 -1 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 x))) (cbrt.f64 (neg.f64 (sqrt.f64 x)))) (cbrt.f64 (neg.f64 (sqrt.f64 x))) (sqrt.f64 (+.f64 x 1)))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) (neg.f64 (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) (*.f64 (neg.f64 (sqrt.f64 x)) 1))
(fma.f64 (sqrt.f64 (neg.f64 (sqrt.f64 x))) (sqrt.f64 (neg.f64 (sqrt.f64 x))) (sqrt.f64 (+.f64 x 1)))
(fma.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/4)) (-.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/4)) (fma.f64 (neg.f64 (sqrt.f64 x)) 1 (sqrt.f64 x)))
(fma.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/4)) (-.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/4)) (fma.f64 (neg.f64 (pow.f64 x 1/6)) (cbrt.f64 x) (sqrt.f64 x)))
(fma.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/4)) (-.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/4)) (+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(+.f64 0 (sqrt.f64 (+.f64 x 1)))
(+.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 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 1)
(*.f64 1 (sqrt.f64 (+.f64 x 1)))
(*.f64 (sqrt.f64 (+.f64 x 1)) 1)
(*.f64 (sqrt.f64 (+.f64 x 1)) (log.f64 (exp.f64 1)))
(*.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 (+.f64 x 1)))
(*.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (+.f64 x 1) 1/6))
(*.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1)))
(/.f64 (hypot.f64 1 (pow.f64 x 3/2)) (hypot.f64 x (sqrt.f64 (-.f64 1 x))))
(pow.f64 (+.f64 x 1) 1/2)
(pow.f64 (sqrt.f64 (+.f64 x 1)) 1)
(pow.f64 (pow.f64 (+.f64 x 1) 1/6) 3)
(pow.f64 (cbrt.f64 (+.f64 x 1)) 3/2)
(pow.f64 (pow.f64 (+.f64 x 1) 3/2) 1/3)
(pow.f64 (pow.f64 (+.f64 x 1) 2) 1/4)
(pow.f64 (pow.f64 (+.f64 x 1) 3) 1/6)
(pow.f64 (pow.f64 (+.f64 x 1) 1/4) 2)
(fabs.f64 (sqrt.f64 (+.f64 x 1)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x 1)))))
(cbrt.f64 (pow.f64 (+.f64 x 1) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))
(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 x 1))))

simplify122.0ms (1.8%)

Algorithm
egg-herbie
Rules
1106×div-sub
532×associate-+l+
478×distribute-lft-in
464×distribute-rgt-in
456×associate-+r+
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
03166340
17105815
219914834
364324679
Stop Event
node limit
Counts
149 → 217
Calls
Call 1
Inputs
1
1
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x)))
(+.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (neg.f64 (sqrt.f64 x)) 1))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 x)) 1 (sqrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x 1/6)) (cbrt.f64 x) (sqrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 -1 (sqrt.f64 x) (sqrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 x 1/6) (sqrt.f64 x)))
(+.f64 0 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 x 1)))
(+.f64 (fma.f64 1 (sqrt.f64 (+.f64 x 1)) (neg.f64 (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))))
(+.f64 (fma.f64 (sqrt.f64 (+.f64 x 1)) 1 (neg.f64 (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))))
(+.f64 (fma.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 (+.f64 x 1)) (neg.f64 (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))))
(+.f64 (fma.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (+.f64 x 1) 1/6) (neg.f64 (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))))
(+.f64 (fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) (neg.f64 (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))))
(+.f64 (fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) (neg.f64 (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))
(*.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1)
(*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(*.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(*.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (/.f64 1 (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 x (+.f64 x 1))))))
(*.f64 (+.f64 x (-.f64 1 x)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/4)) (-.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/4)))
(/.f64 1 (/.f64 (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 x (+.f64 x 1)))) (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))))
(/.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 x (-.f64 1 x))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 x (+.f64 x 1)))))
(/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) (neg.f64 (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 x (+.f64 x 1))))))
(/.f64 (neg.f64 (+.f64 x (-.f64 1 x))) (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (neg.f64 (sqrt.f64 x)) 3)) (+.f64 (+.f64 x 1) (-.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) 2) (*.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x))))))
(/.f64 (-.f64 (+.f64 x 1) (pow.f64 (neg.f64 (sqrt.f64 x)) 2)) (-.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x))))
(pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1)
(pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2)
(pow.f64 (/.f64 (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 x (+.f64 x 1)))) (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) -1)
(pow.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 x (-.f64 1 x))) -1)
(sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(log.f64 (*.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))) (/.f64 1 (exp.f64 (sqrt.f64 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (exp.f64 (sqrt.f64 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x 1)))) (exp.f64 (neg.f64 (sqrt.f64 x)))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (sqrt.f64 x))) (exp.f64 (sqrt.f64 (+.f64 x 1)))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (sqrt.f64 x))) (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x 1))))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (sqrt.f64 x))) (exp.f64 (sqrt.f64 (+.f64 x 1)))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (sqrt.f64 x))) (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x 1))))))
(log.f64 (/.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (expm1.f64 (sqrt.f64 x)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x 1)))) (exp.f64 (sqrt.f64 x))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (expm1.f64 (sqrt.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(exp.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 2))
(log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x)))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) (*.f64 (neg.f64 (sqrt.f64 x)) 1))
(fma.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 x)) 1 (sqrt.f64 x)))
(fma.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x 1/6)) (cbrt.f64 x) (sqrt.f64 x)))
(fma.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(fma.f64 1 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 x 1)))
(fma.f64 (sqrt.f64 (+.f64 x 1)) 1 (neg.f64 (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (+.f64 x 1)) 1 (*.f64 (neg.f64 (sqrt.f64 x)) 1))
(fma.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1 (fma.f64 (neg.f64 (sqrt.f64 x)) 1 (sqrt.f64 x)))
(fma.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1 (fma.f64 (neg.f64 (pow.f64 x 1/6)) (cbrt.f64 x) (sqrt.f64 x)))
(fma.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1 (+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(fma.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x)))
(fma.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 (+.f64 x 1)) (*.f64 (neg.f64 (sqrt.f64 x)) 1))
(fma.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2) (fma.f64 (neg.f64 (sqrt.f64 x)) 1 (sqrt.f64 x)))
(fma.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2) (fma.f64 (neg.f64 (pow.f64 x 1/6)) (cbrt.f64 x) (sqrt.f64 x)))
(fma.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2) (+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 x)) 1 (sqrt.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (fma.f64 (neg.f64 (pow.f64 x 1/6)) (cbrt.f64 x) (sqrt.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(fma.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (+.f64 x 1) 1/6) (neg.f64 (sqrt.f64 x)))
(fma.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (+.f64 x 1) 1/6) (*.f64 (neg.f64 (sqrt.f64 x)) 1))
(fma.f64 (cbrt.f64 x) (neg.f64 (pow.f64 x 1/6)) (sqrt.f64 (+.f64 x 1)))
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) (neg.f64 (sqrt.f64 x)))
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) (*.f64 (neg.f64 (sqrt.f64 x)) 1))
(fma.f64 (pow.f64 x 1/4) (neg.f64 (pow.f64 x 1/4)) (sqrt.f64 (+.f64 x 1)))
(fma.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 x)) 1 (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (fma.f64 (neg.f64 (pow.f64 x 1/6)) (cbrt.f64 x) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(fma.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (/.f64 1 (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 x (+.f64 x 1))))) (fma.f64 (neg.f64 (sqrt.f64 x)) 1 (sqrt.f64 x)))
(fma.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (/.f64 1 (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 x (+.f64 x 1))))) (fma.f64 (neg.f64 (pow.f64 x 1/6)) (cbrt.f64 x) (sqrt.f64 x)))
(fma.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (/.f64 1 (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 x (+.f64 x 1))))) (+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(fma.f64 (+.f64 x (-.f64 1 x)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 x)) 1 (sqrt.f64 x)))
(fma.f64 (+.f64 x (-.f64 1 x)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (fma.f64 (neg.f64 (pow.f64 x 1/6)) (cbrt.f64 x) (sqrt.f64 x)))
(fma.f64 (+.f64 x (-.f64 1 x)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(fma.f64 (neg.f64 (pow.f64 x 1/4)) (pow.f64 x 1/4) (sqrt.f64 (+.f64 x 1)))
(fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 x 1/6) (sqrt.f64 (+.f64 x 1)))
(fma.f64 -1 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 x))) (cbrt.f64 (neg.f64 (sqrt.f64 x)))) (cbrt.f64 (neg.f64 (sqrt.f64 x))) (sqrt.f64 (+.f64 x 1)))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) (neg.f64 (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) (*.f64 (neg.f64 (sqrt.f64 x)) 1))
(fma.f64 (sqrt.f64 (neg.f64 (sqrt.f64 x))) (sqrt.f64 (neg.f64 (sqrt.f64 x))) (sqrt.f64 (+.f64 x 1)))
(fma.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/4)) (-.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/4)) (fma.f64 (neg.f64 (sqrt.f64 x)) 1 (sqrt.f64 x)))
(fma.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/4)) (-.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/4)) (fma.f64 (neg.f64 (pow.f64 x 1/6)) (cbrt.f64 x) (sqrt.f64 x)))
(fma.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/4)) (-.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/4)) (+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(+.f64 0 (sqrt.f64 (+.f64 x 1)))
(+.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 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 1)
(*.f64 1 (sqrt.f64 (+.f64 x 1)))
(*.f64 (sqrt.f64 (+.f64 x 1)) 1)
(*.f64 (sqrt.f64 (+.f64 x 1)) (log.f64 (exp.f64 1)))
(*.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 (+.f64 x 1)))
(*.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (+.f64 x 1) 1/6))
(*.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1)))
(/.f64 (hypot.f64 1 (pow.f64 x 3/2)) (hypot.f64 x (sqrt.f64 (-.f64 1 x))))
(pow.f64 (+.f64 x 1) 1/2)
(pow.f64 (sqrt.f64 (+.f64 x 1)) 1)
(pow.f64 (pow.f64 (+.f64 x 1) 1/6) 3)
(pow.f64 (cbrt.f64 (+.f64 x 1)) 3/2)
(pow.f64 (pow.f64 (+.f64 x 1) 3/2) 1/3)
(pow.f64 (pow.f64 (+.f64 x 1) 2) 1/4)
(pow.f64 (pow.f64 (+.f64 x 1) 3) 1/6)
(pow.f64 (pow.f64 (+.f64 x 1) 1/4) 2)
(fabs.f64 (sqrt.f64 (+.f64 x 1)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x 1)))))
(cbrt.f64 (pow.f64 (+.f64 x 1) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))
(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 x 1))))
Outputs
1
1
(+.f64 1 (*.f64 1/2 x))
(fma.f64 1/2 x 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 1/2 x)))
(+.f64 (fma.f64 1/2 x 1) (*.f64 -1/8 (pow.f64 x 2)))
(+.f64 1 (*.f64 x (+.f64 1/2 (*.f64 x -1/8))))
(+.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 1/2 x))))
(+.f64 (fma.f64 -1/8 (pow.f64 x 2) (*.f64 1/16 (pow.f64 x 3))) (fma.f64 1/2 x 1))
(+.f64 (fma.f64 1/2 x 1) (*.f64 (pow.f64 x 2) (+.f64 -1/8 (*.f64 x 1/16))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(+.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (neg.f64 (sqrt.f64 x)) 1))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 x)) 1 (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x 1/6)) (cbrt.f64 x) (sqrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x 1/6)) (cbrt.f64 x) (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (pow.f64 x 1/6) (cbrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 -1 (sqrt.f64 x) (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 x 1/6) (sqrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x 1/6)) (cbrt.f64 x) (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (pow.f64 x 1/6) (cbrt.f64 x)))
(+.f64 0 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 x 1)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(+.f64 (fma.f64 1 (sqrt.f64 (+.f64 x 1)) (neg.f64 (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))) (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (sqrt.f64 (cbrt.f64 x)) (neg.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))))
(+.f64 (*.f64 0 (*.f64 (sqrt.f64 (cbrt.f64 x)) (fabs.f64 (cbrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (sqrt.f64 (cbrt.f64 x)) (fabs.f64 (cbrt.f64 x)))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (cbrt.f64 x) (sqrt.f64 (cbrt.f64 x))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (pow.f64 (cbrt.f64 x) 3/2))
(+.f64 (fma.f64 (sqrt.f64 (+.f64 x 1)) 1 (neg.f64 (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))) (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (sqrt.f64 (cbrt.f64 x)) (neg.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))))
(+.f64 (*.f64 0 (*.f64 (sqrt.f64 (cbrt.f64 x)) (fabs.f64 (cbrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (sqrt.f64 (cbrt.f64 x)) (fabs.f64 (cbrt.f64 x)))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (cbrt.f64 x) (sqrt.f64 (cbrt.f64 x))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (pow.f64 (cbrt.f64 x) 3/2))
(+.f64 (fma.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 (+.f64 x 1)) (neg.f64 (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))) (fma.f64 (pow.f64 (+.f64 1 x) 1/6) (cbrt.f64 (+.f64 1 x)) (*.f64 (sqrt.f64 (cbrt.f64 x)) (neg.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))))
(+.f64 (*.f64 0 (*.f64 (sqrt.f64 (cbrt.f64 x)) (fabs.f64 (cbrt.f64 x)))) (-.f64 (*.f64 (pow.f64 (+.f64 1 x) 1/6) (cbrt.f64 (+.f64 1 x))) (*.f64 (sqrt.f64 (cbrt.f64 x)) (fabs.f64 (cbrt.f64 x)))))
(-.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/6) 3) (*.f64 (cbrt.f64 x) (sqrt.f64 (cbrt.f64 x))))
(-.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/6) 3) (pow.f64 (cbrt.f64 x) 3/2))
(+.f64 (fma.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (+.f64 x 1) 1/6) (neg.f64 (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))) (fma.f64 (pow.f64 (+.f64 1 x) 1/6) (cbrt.f64 (+.f64 1 x)) (*.f64 (sqrt.f64 (cbrt.f64 x)) (neg.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))))
(+.f64 (*.f64 0 (*.f64 (sqrt.f64 (cbrt.f64 x)) (fabs.f64 (cbrt.f64 x)))) (-.f64 (*.f64 (pow.f64 (+.f64 1 x) 1/6) (cbrt.f64 (+.f64 1 x))) (*.f64 (sqrt.f64 (cbrt.f64 x)) (fabs.f64 (cbrt.f64 x)))))
(-.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/6) 3) (*.f64 (cbrt.f64 x) (sqrt.f64 (cbrt.f64 x))))
(-.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/6) 3) (pow.f64 (cbrt.f64 x) 3/2))
(+.f64 (fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) (neg.f64 (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))) (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (sqrt.f64 (cbrt.f64 x)) (neg.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))))
(+.f64 (*.f64 0 (*.f64 (sqrt.f64 (cbrt.f64 x)) (fabs.f64 (cbrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (sqrt.f64 (cbrt.f64 x)) (fabs.f64 (cbrt.f64 x)))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (cbrt.f64 x) (sqrt.f64 (cbrt.f64 x))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (pow.f64 (cbrt.f64 x) 3/2))
(+.f64 (fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) (neg.f64 (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))) (fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 x))) (*.f64 (sqrt.f64 (cbrt.f64 x)) (neg.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))))
(+.f64 (*.f64 0 (*.f64 (sqrt.f64 (cbrt.f64 x)) (fabs.f64 (cbrt.f64 x)))) (fma.f64 (fabs.f64 (cbrt.f64 (+.f64 1 x))) (sqrt.f64 (cbrt.f64 (+.f64 1 x))) (*.f64 (sqrt.f64 (cbrt.f64 x)) (neg.f64 (fabs.f64 (cbrt.f64 x))))))
(fma.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (cbrt.f64 (+.f64 1 x))) (*.f64 (neg.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 x))))
(-.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 3/2) (pow.f64 (cbrt.f64 x) 3/2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(*.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1)
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
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(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) (neg.f64 (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) (*.f64 (neg.f64 (sqrt.f64 x)) 1))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(fma.f64 (pow.f64 x 1/4) (neg.f64 (pow.f64 x 1/4)) (sqrt.f64 (+.f64 x 1)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(fma.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 x)) 1 (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(fma.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (fma.f64 (neg.f64 (pow.f64 x 1/6)) (cbrt.f64 x) (sqrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x 1/6)) (cbrt.f64 x) (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (pow.f64 x 1/6) (cbrt.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(fma.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (/.f64 1 (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 x (+.f64 x 1))))) (fma.f64 (neg.f64 (sqrt.f64 x)) 1 (sqrt.f64 x)))
(*.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (/.f64 1 (+.f64 (+.f64 1 x) (+.f64 x (sqrt.f64 (*.f64 x (+.f64 1 x)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 x (+.f64 (+.f64 1 x) (sqrt.f64 (fma.f64 x x x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 1 (+.f64 (*.f64 x 2) (hypot.f64 x (sqrt.f64 x)))))
(fma.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (/.f64 1 (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 x (+.f64 x 1))))) (fma.f64 (neg.f64 (pow.f64 x 1/6)) (cbrt.f64 x) (sqrt.f64 x)))
(fma.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (/.f64 1 (+.f64 (+.f64 1 x) (+.f64 x (sqrt.f64 (*.f64 x (+.f64 1 x)))))) (fma.f64 (neg.f64 (pow.f64 x 1/6)) (cbrt.f64 x) (sqrt.f64 x)))
(+.f64 (fma.f64 (neg.f64 (pow.f64 x 1/6)) (cbrt.f64 x) (sqrt.f64 x)) (/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 x (+.f64 (+.f64 1 x) (sqrt.f64 (fma.f64 x x x))))))
(+.f64 (-.f64 (sqrt.f64 x) (*.f64 (pow.f64 x 1/6) (cbrt.f64 x))) (/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 1 (+.f64 (*.f64 x 2) (hypot.f64 x (sqrt.f64 x))))))
(fma.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (/.f64 1 (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 x (+.f64 x 1))))) (+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(*.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (/.f64 1 (+.f64 (+.f64 1 x) (+.f64 x (sqrt.f64 (*.f64 x (+.f64 1 x)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 x (+.f64 (+.f64 1 x) (sqrt.f64 (fma.f64 x x x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 1 (+.f64 (*.f64 x 2) (hypot.f64 x (sqrt.f64 x)))))
(fma.f64 (+.f64 x (-.f64 1 x)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 x)) 1 (sqrt.f64 x)))
(*.f64 (+.f64 x (-.f64 1 x)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(fma.f64 (+.f64 x (-.f64 1 x)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (fma.f64 (neg.f64 (pow.f64 x 1/6)) (cbrt.f64 x) (sqrt.f64 x)))
(fma.f64 (+.f64 x (-.f64 1 x)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (fma.f64 (neg.f64 (pow.f64 x 1/6)) (cbrt.f64 x) (sqrt.f64 x)))
(+.f64 (fma.f64 (neg.f64 (pow.f64 x 1/6)) (cbrt.f64 x) (sqrt.f64 x)) (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(+.f64 (-.f64 (sqrt.f64 x) (*.f64 (pow.f64 x 1/6) (cbrt.f64 x))) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(fma.f64 (+.f64 x (-.f64 1 x)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(*.f64 (+.f64 x (-.f64 1 x)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(fma.f64 (neg.f64 (pow.f64 x 1/4)) (pow.f64 x 1/4) (sqrt.f64 (+.f64 x 1)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 x 1/6) (sqrt.f64 (+.f64 x 1)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x 1/6)) (cbrt.f64 x) (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (pow.f64 x 1/6) (cbrt.f64 x)))
(fma.f64 -1 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 x))) (cbrt.f64 (neg.f64 (sqrt.f64 x)))) (cbrt.f64 (neg.f64 (sqrt.f64 x))) (sqrt.f64 (+.f64 x 1)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) (neg.f64 (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 x))) (neg.f64 (sqrt.f64 x)))
(fma.f64 (fabs.f64 (cbrt.f64 (+.f64 1 x))) (sqrt.f64 (cbrt.f64 (+.f64 1 x))) (neg.f64 (sqrt.f64 x)))
(fma.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (cbrt.f64 (+.f64 1 x))) (neg.f64 (sqrt.f64 x)))
(-.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 3/2) (sqrt.f64 x))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) (*.f64 (neg.f64 (sqrt.f64 x)) 1))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 x))) (neg.f64 (sqrt.f64 x)))
(fma.f64 (fabs.f64 (cbrt.f64 (+.f64 1 x))) (sqrt.f64 (cbrt.f64 (+.f64 1 x))) (neg.f64 (sqrt.f64 x)))
(fma.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (cbrt.f64 (+.f64 1 x))) (neg.f64 (sqrt.f64 x)))
(-.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 3/2) (sqrt.f64 x))
(fma.f64 (sqrt.f64 (neg.f64 (sqrt.f64 x))) (sqrt.f64 (neg.f64 (sqrt.f64 x))) (sqrt.f64 (+.f64 x 1)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(fma.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/4)) (-.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/4)) (fma.f64 (neg.f64 (sqrt.f64 x)) 1 (sqrt.f64 x)))
(fma.f64 (+.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) (-.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) (fma.f64 -1 (sqrt.f64 x) (sqrt.f64 x)))
(fma.f64 (+.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) (-.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) (*.f64 0 (sqrt.f64 x)))
(fma.f64 (+.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) (-.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) 0)
(fma.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/4)) (-.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/4)) (fma.f64 (neg.f64 (pow.f64 x 1/6)) (cbrt.f64 x) (sqrt.f64 x)))
(fma.f64 (+.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) (-.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) (fma.f64 (neg.f64 (pow.f64 x 1/6)) (cbrt.f64 x) (sqrt.f64 x)))
(fma.f64 (+.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) (-.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) (-.f64 (sqrt.f64 x) (*.f64 (pow.f64 x 1/6) (cbrt.f64 x))))
(fma.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/4)) (-.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/4)) (+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(fma.f64 (+.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) (-.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) (fma.f64 -1 (sqrt.f64 x) (sqrt.f64 x)))
(fma.f64 (+.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) (-.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) (*.f64 0 (sqrt.f64 x)))
(fma.f64 (+.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) (-.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) 0)
(+.f64 0 (sqrt.f64 (+.f64 x 1)))
(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 (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 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))))
(sqrt.f64 (+.f64 1 x))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 1)
(sqrt.f64 (+.f64 1 x))
(*.f64 1 (sqrt.f64 (+.f64 x 1)))
(sqrt.f64 (+.f64 1 x))
(*.f64 (sqrt.f64 (+.f64 x 1)) 1)
(sqrt.f64 (+.f64 1 x))
(*.f64 (sqrt.f64 (+.f64 x 1)) (log.f64 (exp.f64 1)))
(sqrt.f64 (+.f64 1 x))
(*.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 (+.f64 x 1)))
(*.f64 (pow.f64 (+.f64 1 x) 1/6) (cbrt.f64 (+.f64 1 x)))
(pow.f64 (pow.f64 (+.f64 1 x) 1/6) 3)
(*.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (+.f64 x 1) 1/6))
(*.f64 (pow.f64 (+.f64 1 x) 1/6) (cbrt.f64 (+.f64 1 x)))
(pow.f64 (pow.f64 (+.f64 1 x) 1/6) 3)
(*.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4))
(sqrt.f64 (+.f64 1 x))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (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 (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))))
(pow.f64 (cbrt.f64 (+.f64 1 x)) 3/2)
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1)))
(/.f64 (hypot.f64 1 (pow.f64 x 3/2)) (hypot.f64 x (sqrt.f64 (-.f64 1 x))))
(pow.f64 (+.f64 x 1) 1/2)
(sqrt.f64 (+.f64 1 x))
(pow.f64 (sqrt.f64 (+.f64 x 1)) 1)
(sqrt.f64 (+.f64 1 x))
(pow.f64 (pow.f64 (+.f64 x 1) 1/6) 3)
(*.f64 (pow.f64 (+.f64 1 x) 1/6) (cbrt.f64 (+.f64 1 x)))
(pow.f64 (pow.f64 (+.f64 1 x) 1/6) 3)
(pow.f64 (cbrt.f64 (+.f64 x 1)) 3/2)
(*.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))))
(pow.f64 (cbrt.f64 (+.f64 1 x)) 3/2)
(pow.f64 (pow.f64 (+.f64 x 1) 3/2) 1/3)
(cbrt.f64 (pow.f64 (+.f64 1 x) 3/2))
(pow.f64 (pow.f64 (+.f64 x 1) 2) 1/4)
(pow.f64 (pow.f64 (+.f64 1 x) 2) 1/4)
(pow.f64 (pow.f64 (+.f64 x 1) 3) 1/6)
(pow.f64 (pow.f64 (+.f64 1 x) 3) 1/6)
(pow.f64 (pow.f64 (+.f64 x 1) 1/4) 2)
(sqrt.f64 (+.f64 1 x))
(fabs.f64 (sqrt.f64 (+.f64 x 1)))
(sqrt.f64 (+.f64 1 x))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))
(sqrt.f64 (+.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x 1)))))
(sqrt.f64 (+.f64 1 x))
(cbrt.f64 (pow.f64 (+.f64 x 1) 3/2))
(cbrt.f64 (pow.f64 (+.f64 1 x) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))
(sqrt.f64 (+.f64 1 x))
(hypot.f64 1 (sqrt.f64 x))
(sqrt.f64 (+.f64 1 x))
(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 x 1))))
(sqrt.f64 (+.f64 1 x))

eval70.0ms (1.1%)

Compiler

Compiled 3571 to 2270 computations (36.4% saved)

prune34.0ms (0.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New2152217
Fresh000
Picked011
Done000
Total2153218
Accuracy
99.6%
Counts
218 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
6.6%
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
6.9%
1
Compiler

Compiled 20 to 16 computations (20% saved)

localize51.0ms (0.8%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
100.0%
(sqrt.f64 (+.f64 1 x))
100.0%
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
99.6%
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
Compiler

Compiled 30 to 20 computations (33.3% saved)

series9.0ms (0.1%)

Counts
3 → 6
Calls

9 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
2.0ms
x
@inf
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
1.0ms
x
@-inf
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
1.0ms
x
@0
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
1.0ms
x
@inf
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))

rewrite109.0ms (1.6%)

Algorithm
batch-egg-rewrite
Rules
1060×unpow-prod-down
900×fma-def
715×log1p-expm1-u
714×expm1-log1p-u
634×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01274
115774
2205274
Stop Event
node limit
Counts
3 → 190
Calls
Call 1
Inputs
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(sqrt.f64 (+.f64 1 x))
Outputs
(+.f64 0 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) 1)
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(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) 3) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 1/6)) 3))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/4) 1/2) (pow.f64 (pow.f64 (+.f64 1 x) 3/4) 1/2))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 x) 3/4) 1/2) (pow.f64 (pow.f64 (+.f64 1 x) 1/4) 1/2))
(*.f64 (pow.f64 (+.f64 1 (pow.f64 x 3)) 1/2) (pow.f64 (/.f64 1 (fma.f64 x (-.f64 x 1) 1)) 1/2))
(*.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/2) (pow.f64 (/.f64 1 (-.f64 1 x)) 1/2))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 x) 5/6) 1/2) (pow.f64 (pow.f64 (+.f64 1 x) 1/6) 1/2))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) 1) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 x))) 1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 1/4)) 3) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 1/4)) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 1/6)) (cbrt.f64 (pow.f64 (+.f64 1 x) 1/6))) 3) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 1/6)) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 x) 1/6)) 3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 x) 1/6)) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1/3) (pow.f64 (pow.f64 (+.f64 1 x) 5/6) 1/3))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 x) 3/4) 1/3) (pow.f64 (pow.f64 (+.f64 1 x) 3/4) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 x) 3/2)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 x) 3/2)) 1/3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 4) 1/3) (pow.f64 (pow.f64 (+.f64 1 x) 1/6) 1/3))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 x) 5/4) 1/3) (pow.f64 (pow.f64 (+.f64 1 x) 1/4) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 x) 1/4)) 2) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 x) 1/4)) 2))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (sqrt.f64 (-.f64 1 x)))
(/.f64 (hypot.f64 1 (pow.f64 x 3/2)) (sqrt.f64 (fma.f64 x (-.f64 x 1) 1)))
(pow.f64 (+.f64 1 x) 1/2)
(pow.f64 (sqrt.f64 (+.f64 1 x)) 1)
(pow.f64 (pow.f64 (+.f64 1 x) 1/6) 3)
(pow.f64 (cbrt.f64 (+.f64 1 x)) 3/2)
(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) 3) 1/6)
(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 (log.f64 (pow.f64 (+.f64 1 x) 1/6)) 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))))

simplify114.0ms (1.7%)

Algorithm
egg-herbie
Rules
1822×fma-def
716×exp-prod
656×log-prod
552×cube-prod
484×swap-sqr
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04717513
111517030
237836627
Stop Event
node limit
Counts
196 → 266
Calls
Call 1
Inputs
1
1
1
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x))))
(+.f64 0 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) 1)
(*.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(*.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1)
(*.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (log.f64 (exp.f64 1)))
(*.f64 -1 (/.f64 1 (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(*.f64 -1 (pow.f64 (/.f64 1 (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -2) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -2) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)) 2))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (-.f64 (+.f64 (+.f64 1 x) x) (sqrt.f64 (*.f64 x (+.f64 1 x)))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (pow.f64 (/.f64 1 (-.f64 (+.f64 (+.f64 1 x) x) (sqrt.f64 (*.f64 x (+.f64 1 x))))) -1))
(*.f64 (/.f64 1 (+.f64 x (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 (/.f64 1 (+.f64 x (-.f64 1 x))) (pow.f64 (/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1))
(*.f64 (pow.f64 1 1/3) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(*.f64 (pow.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) 1) (-.f64 (+.f64 (+.f64 1 x) x) (sqrt.f64 (*.f64 x (+.f64 1 x)))))
(*.f64 (pow.f64 (/.f64 1 (+.f64 x (-.f64 1 x))) 1) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -2)) 3) (pow.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) 3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)) 3) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (cbrt.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))) 3) (pow.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) 3) (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) 3))
(*.f64 (pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3/2) 1/3) (pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -2)) 1/3) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1/3))
(*.f64 (pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -5/2) 1/3) (pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -2)) 2) (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) 2))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)) 2) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)) 2))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1)
(pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 3)
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -3)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2) 1/2)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3) 1/3)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2) -1/2)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3) -1/3)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) 2)
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -2)
(pow.f64 (neg.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) -1)
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1) -1))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1) 1))
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1) 1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)) 1/3))
(exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 2))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1)
(-.f64 (/.f64 (+.f64 1 x) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 x (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1)
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 2))
(*.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (/.f64 1 (-.f64 (+.f64 (+.f64 1 x) x) (sqrt.f64 (*.f64 x (+.f64 1 x))))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (pow.f64 (/.f64 1 (-.f64 (+.f64 (+.f64 1 x) x) (sqrt.f64 (*.f64 x (+.f64 1 x))))) 1))
(*.f64 (+.f64 x (-.f64 1 x)) (/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(*.f64 (+.f64 x (-.f64 1 x)) (pow.f64 (/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1))
(*.f64 (pow.f64 1 1/3) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (cbrt.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 3))
(*.f64 (pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3/2) 1/3) (pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 2) 1/3) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1/3))
(*.f64 (pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 5/2) 1/3) (pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 2))
(/.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 1 (/.f64 (-.f64 (+.f64 (+.f64 1 x) x) (sqrt.f64 (*.f64 x (+.f64 1 x)))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))))
(/.f64 1 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 x (-.f64 1 x))))
(/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1)
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(/.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2))
(/.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1)
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (-.f64 (+.f64 (+.f64 1 x) x) (sqrt.f64 (*.f64 x (+.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 x (-.f64 (+.f64 1 x) (sqrt.f64 (*.f64 x (+.f64 1 x))))))
(/.f64 (+.f64 x (-.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (neg.f64 (-.f64 (+.f64 (+.f64 1 x) x) (sqrt.f64 (*.f64 x (+.f64 1 x))))))
(/.f64 (neg.f64 (+.f64 x (-.f64 1 x))) (neg.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 (-.f64 x (+.f64 1 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1)
(pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) -3)
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 3)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3) -1/3)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3) 1/3)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) -2)
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2)
(pow.f64 (/.f64 (-.f64 (+.f64 (+.f64 1 x) x) (sqrt.f64 (*.f64 x (+.f64 1 x)))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) -1)
(pow.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 x (-.f64 1 x))) -1)
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(log.f64 (*.f64 (exp.f64 (sqrt.f64 (+.f64 1 x))) (+.f64 1 (expm1.f64 (sqrt.f64 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 x)))) (exp.f64 (sqrt.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 x)))) (+.f64 1 (expm1.f64 (sqrt.f64 x)))))
(log.f64 (*.f64 (exp.f64 (sqrt.f64 x)) (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 x))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 x))) (exp.f64 (sqrt.f64 (+.f64 1 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 x))) (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 x))))))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 2))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(fma.f64 1 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (sqrt.f64 (+.f64 1 x)) 1 (sqrt.f64 x))
(fma.f64 (sqrt.f64 x) 1 (sqrt.f64 (+.f64 1 x)))
(fma.f64 (pow.f64 (+.f64 1 x) 1/6) (cbrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(fma.f64 (pow.f64 x 1/6) (cbrt.f64 x) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (cbrt.f64 (+.f64 1 x)) (pow.f64 (+.f64 1 x) 1/6) (sqrt.f64 x))
(fma.f64 (cbrt.f64 x) (pow.f64 x 1/6) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) (sqrt.f64 x))
(fma.f64 (pow.f64 x 1/4) (pow.f64 x 1/4) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 x))) (sqrt.f64 x))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 (cbrt.f64 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 (pow.f64 (+.f64 1 x) 1/6) (cbrt.f64 (+.f64 1 x)))
(*.f64 (cbrt.f64 (+.f64 1 x)) (pow.f64 (+.f64 1 x) 1/6))
(*.f64 (cbrt.f64 (+.f64 1 x)) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 1/4)) 2))
(*.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
(*.f64 (pow.f64 1 1/3) (sqrt.f64 (+.f64 1 x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 x))) 2) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 x) 1/6)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) 3) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 1/6)) 3))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/4) 1/2) (pow.f64 (pow.f64 (+.f64 1 x) 3/4) 1/2))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 x) 3/4) 1/2) (pow.f64 (pow.f64 (+.f64 1 x) 1/4) 1/2))
(*.f64 (pow.f64 (+.f64 1 (pow.f64 x 3)) 1/2) (pow.f64 (/.f64 1 (fma.f64 x (-.f64 x 1) 1)) 1/2))
(*.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/2) (pow.f64 (/.f64 1 (-.f64 1 x)) 1/2))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 x) 5/6) 1/2) (pow.f64 (pow.f64 (+.f64 1 x) 1/6) 1/2))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) 1) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 x))) 1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 1/4)) 3) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 1/4)) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 1/6)) (cbrt.f64 (pow.f64 (+.f64 1 x) 1/6))) 3) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 1/6)) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 x) 1/6)) 3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 x) 1/6)) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1/3) (pow.f64 (pow.f64 (+.f64 1 x) 5/6) 1/3))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 x) 3/4) 1/3) (pow.f64 (pow.f64 (+.f64 1 x) 3/4) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 x) 3/2)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 x) 3/2)) 1/3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 4) 1/3) (pow.f64 (pow.f64 (+.f64 1 x) 1/6) 1/3))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 x) 5/4) 1/3) (pow.f64 (pow.f64 (+.f64 1 x) 1/4) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 x) 1/4)) 2) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 x) 1/4)) 2))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (sqrt.f64 (-.f64 1 x)))
(/.f64 (hypot.f64 1 (pow.f64 x 3/2)) (sqrt.f64 (fma.f64 x (-.f64 x 1) 1)))
(pow.f64 (+.f64 1 x) 1/2)
(pow.f64 (sqrt.f64 (+.f64 1 x)) 1)
(pow.f64 (pow.f64 (+.f64 1 x) 1/6) 3)
(pow.f64 (cbrt.f64 (+.f64 1 x)) 3/2)
(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) 3) 1/6)
(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 (log.f64 (pow.f64 (+.f64 1 x) 1/6)) 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
1
1
1
(+.f64 1 (*.f64 1/2 x))
(fma.f64 1/2 x 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 1/2 x)))
(+.f64 1 (fma.f64 1/2 x (*.f64 -1/8 (pow.f64 x 2))))
(fma.f64 1/2 x (fma.f64 -1/8 (pow.f64 x 2) 1))
(+.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 1/2 x))))
(+.f64 1 (fma.f64 -1/8 (pow.f64 x 2) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3)))))
(+.f64 1 (fma.f64 1/2 x (fma.f64 -1/8 (pow.f64 x 2) (*.f64 1/16 (pow.f64 x 3)))))
(+.f64 0 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))))
(fma.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) 1)
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))
(*.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1)
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (log.f64 (exp.f64 1)))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))
(*.f64 -1 (/.f64 1 (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))
(*.f64 -1 (pow.f64 (/.f64 1 (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -2))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -2) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -2) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)) 2) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) -1/2)) 2) (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))) -2))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (-.f64 (+.f64 (+.f64 1 x) x) (sqrt.f64 (*.f64 x (+.f64 1 x)))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (+.f64 x (-.f64 (+.f64 1 x) (sqrt.f64 (*.f64 x (+.f64 1 x))))))
(/.f64 (+.f64 1 (-.f64 (*.f64 2 x) (sqrt.f64 (+.f64 x (pow.f64 x 2))))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))
(/.f64 (-.f64 (fma.f64 2 x 1) (hypot.f64 x (sqrt.f64 x))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (pow.f64 (/.f64 1 (-.f64 (+.f64 (+.f64 1 x) x) (sqrt.f64 (*.f64 x (+.f64 1 x))))) -1))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (+.f64 x (-.f64 (+.f64 1 x) (sqrt.f64 (*.f64 x (+.f64 1 x))))))
(/.f64 (+.f64 1 (-.f64 (*.f64 2 x) (sqrt.f64 (+.f64 x (pow.f64 x 2))))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))
(/.f64 (-.f64 (fma.f64 2 x 1) (hypot.f64 x (sqrt.f64 x))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))
(*.f64 (/.f64 1 (+.f64 x (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 x (-.f64 1 x)))
(-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 1 (+.f64 x (-.f64 1 x))) (pow.f64 (/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1))
(*.f64 (/.f64 1 (+.f64 x (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 x (-.f64 1 x)))
(-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (pow.f64 1 1/3) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))
(*.f64 (pow.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) 1) (-.f64 (+.f64 (+.f64 1 x) x) (sqrt.f64 (*.f64 x (+.f64 1 x)))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (+.f64 x (-.f64 (+.f64 1 x) (sqrt.f64 (*.f64 x (+.f64 1 x))))))
(/.f64 (+.f64 1 (-.f64 (*.f64 2 x) (sqrt.f64 (+.f64 x (pow.f64 x 2))))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))
(/.f64 (-.f64 (fma.f64 2 x 1) (hypot.f64 x (sqrt.f64 x))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))
(*.f64 (pow.f64 (/.f64 1 (+.f64 x (-.f64 1 x))) 1) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 (/.f64 1 (+.f64 x (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 x (-.f64 1 x)))
(-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -2)) 3) (pow.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) 3))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)) 3) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)) 3))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))
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(+.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 1 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x)))) 1)
(sqrt.f64 (+.f64 1 x))
(hypot.f64 1 (sqrt.f64 x))
(*.f64 1 (sqrt.f64 (+.f64 1 x)))
(sqrt.f64 (+.f64 1 x))
(hypot.f64 1 (sqrt.f64 x))
(*.f64 (sqrt.f64 (+.f64 1 x)) 1)
(sqrt.f64 (+.f64 1 x))
(hypot.f64 1 (sqrt.f64 x))
(*.f64 (sqrt.f64 (+.f64 1 x)) (log.f64 (exp.f64 1)))
(sqrt.f64 (+.f64 1 x))
(hypot.f64 1 (sqrt.f64 x))
(*.f64 (pow.f64 (+.f64 1 x) 1/6) (cbrt.f64 (+.f64 1 x)))
(sqrt.f64 (+.f64 1 x))
(hypot.f64 1 (sqrt.f64 x))
(*.f64 (cbrt.f64 (+.f64 1 x)) (pow.f64 (+.f64 1 x) 1/6))
(sqrt.f64 (+.f64 1 x))
(hypot.f64 1 (sqrt.f64 x))
(*.f64 (cbrt.f64 (+.f64 1 x)) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 1/4)) 2))
(*.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4))
(sqrt.f64 (+.f64 1 x))
(hypot.f64 1 (sqrt.f64 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))))
(pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 x))) 3)
(*.f64 (pow.f64 1 1/3) (sqrt.f64 (+.f64 1 x)))
(sqrt.f64 (+.f64 1 x))
(hypot.f64 1 (sqrt.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 x))) 2) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 x) 1/6)) 2))
(sqrt.f64 (+.f64 1 x))
(hypot.f64 1 (sqrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) 3) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 1/6)) 3))
(sqrt.f64 (+.f64 1 x))
(hypot.f64 1 (sqrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/4) 1/2) (pow.f64 (pow.f64 (+.f64 1 x) 3/4) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 1 x) 1/4)) (sqrt.f64 (pow.f64 (+.f64 1 x) 3/4)))
(*.f64 (pow.f64 (+.f64 1 x) 1/8) (pow.f64 (+.f64 1 x) 3/8))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 x) 3/4) 1/2) (pow.f64 (pow.f64 (+.f64 1 x) 1/4) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 1 x) 1/4)) (sqrt.f64 (pow.f64 (+.f64 1 x) 3/4)))
(*.f64 (pow.f64 (+.f64 1 x) 1/8) (pow.f64 (+.f64 1 x) 3/8))
(*.f64 (pow.f64 (+.f64 1 (pow.f64 x 3)) 1/2) (pow.f64 (/.f64 1 (fma.f64 x (-.f64 x 1) 1)) 1/2))
(*.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 3))) (sqrt.f64 (/.f64 1 (fma.f64 x (+.f64 x -1) 1))))
(*.f64 (hypot.f64 1 (pow.f64 x 3/2)) (sqrt.f64 (/.f64 1 (fma.f64 x (+.f64 x -1) 1))))
(*.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/2) (pow.f64 (/.f64 1 (-.f64 1 x)) 1/2))
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (-.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 x) 5/6) 1/2) (pow.f64 (pow.f64 (+.f64 1 x) 1/6) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 1 x) 1/6)) (sqrt.f64 (pow.f64 (+.f64 1 x) 5/6)))
(*.f64 (pow.f64 (+.f64 1 x) 1/12) (pow.f64 (+.f64 1 x) 5/12))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) 1) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 x))) 1))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 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))))
(pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 x))) 3)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 1/4)) 3) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 1/4)) 3))
(sqrt.f64 (+.f64 1 x))
(hypot.f64 1 (sqrt.f64 x))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 1/6)) (cbrt.f64 (pow.f64 (+.f64 1 x) 1/6))) 3) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 1/6)) 3))
(sqrt.f64 (+.f64 1 x))
(hypot.f64 1 (sqrt.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 x) 1/6)) 3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 x) 1/6)) 3))
(sqrt.f64 (+.f64 1 x))
(hypot.f64 1 (sqrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1/3) (pow.f64 (pow.f64 (+.f64 1 x) 5/6) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (pow.f64 (+.f64 1 x) 5/6)))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 x) 3/4) 1/3) (pow.f64 (pow.f64 (+.f64 1 x) 3/4) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 3/4)) (cbrt.f64 (pow.f64 (+.f64 1 x) 3/4)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 x) 3/2)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 x) 3/2)) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 3/4)) (cbrt.f64 (pow.f64 (+.f64 1 x) 3/4)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 4) 1/3) (pow.f64 (pow.f64 (+.f64 1 x) 1/6) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 1/6)) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 4)))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 x) 5/4) 1/3) (pow.f64 (pow.f64 (+.f64 1 x) 1/4) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 1/4)) (cbrt.f64 (pow.f64 (+.f64 1 x) 5/4)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 x) 1/4)) 2) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 x) 1/4)) 2))
(sqrt.f64 (+.f64 1 x))
(hypot.f64 1 (sqrt.f64 x))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (sqrt.f64 (-.f64 1 x)))
(/.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)))
(pow.f64 (+.f64 1 x) 1/2)
(sqrt.f64 (+.f64 1 x))
(hypot.f64 1 (sqrt.f64 x))
(pow.f64 (sqrt.f64 (+.f64 1 x)) 1)
(sqrt.f64 (+.f64 1 x))
(hypot.f64 1 (sqrt.f64 x))
(pow.f64 (pow.f64 (+.f64 1 x) 1/6) 3)
(sqrt.f64 (+.f64 1 x))
(hypot.f64 1 (sqrt.f64 x))
(pow.f64 (cbrt.f64 (+.f64 1 x)) 3/2)
(pow.f64 (pow.f64 (+.f64 1 x) 3/2) 1/3)
(sqrt.f64 (+.f64 1 x))
(hypot.f64 1 (sqrt.f64 x))
(pow.f64 (pow.f64 (+.f64 1 x) 2) 1/4)
(pow.f64 (pow.f64 (+.f64 1 x) 3) 1/6)
(pow.f64 (pow.f64 (+.f64 1 x) 1/4) 2)
(sqrt.f64 (+.f64 1 x))
(hypot.f64 1 (sqrt.f64 x))
(fabs.f64 (sqrt.f64 (+.f64 1 x)))
(sqrt.f64 (+.f64 1 x))
(hypot.f64 1 (sqrt.f64 x))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1 x))))
(sqrt.f64 (+.f64 1 x))
(hypot.f64 1 (sqrt.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 x)))))
(sqrt.f64 (+.f64 1 x))
(hypot.f64 1 (sqrt.f64 x))
(cbrt.f64 (pow.f64 (+.f64 1 x) 3/2))
(sqrt.f64 (+.f64 1 x))
(hypot.f64 1 (sqrt.f64 x))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))))
(sqrt.f64 (+.f64 1 x))
(hypot.f64 1 (sqrt.f64 x))
(hypot.f64 1 (sqrt.f64 x))
(sqrt.f64 (+.f64 1 x))
(exp.f64 (*.f64 1/2 (log1p.f64 x)))
(sqrt.f64 (+.f64 1 x))
(hypot.f64 1 (sqrt.f64 x))
(exp.f64 (*.f64 (log1p.f64 x) 1/2))
(sqrt.f64 (+.f64 1 x))
(hypot.f64 1 (sqrt.f64 x))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 1))
(sqrt.f64 (+.f64 1 x))
(hypot.f64 1 (sqrt.f64 x))
(exp.f64 (*.f64 (*.f64 (log1p.f64 x) 1/2) 1))
(sqrt.f64 (+.f64 1 x))
(hypot.f64 1 (sqrt.f64 x))
(exp.f64 (*.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 1) 1))
(sqrt.f64 (+.f64 1 x))
(hypot.f64 1 (sqrt.f64 x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 1 x) 1/6)) 3))
(sqrt.f64 (+.f64 1 x))
(hypot.f64 1 (sqrt.f64 x))
(exp.f64 (*.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 3) 1/3))
(sqrt.f64 (+.f64 1 x))
(hypot.f64 1 (sqrt.f64 x))
(exp.f64 (*.f64 (*.f64 3/2 (log1p.f64 x)) 1/3))
(sqrt.f64 (+.f64 1 x))
(hypot.f64 1 (sqrt.f64 x))
(exp.f64 (*.f64 (*.f64 1/4 (log1p.f64 x)) 2))
(sqrt.f64 (+.f64 1 x))
(hypot.f64 1 (sqrt.f64 x))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 x))))
(sqrt.f64 (+.f64 1 x))
(hypot.f64 1 (sqrt.f64 x))

eval106.0ms (1.6%)

Compiler

Compiled 4530 to 3348 computations (26.1% saved)

prune52.0ms (0.8%)

Pruning

23 alts after pruning (20 fresh and 3 done)

PrunedKeptTotal
New24620266
Fresh000
Picked022
Done011
Total24623269
Accuracy
100.0%
Counts
269 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) 2)
97.9%
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 3)
99.6%
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1)
99.2%
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -2)
98.1%
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -3)
68.8%
(/.f64 (-.f64 (fma.f64 2 x 1) (hypot.f64 x (sqrt.f64 x))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))
47.6%
(/.f64 1 (/.f64 1 (/.f64 (-.f64 (+.f64 (+.f64 1 x) x) (sqrt.f64 (*.f64 x (+.f64 1 x)))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))))
99.4%
(/.f64 1 (+.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/4) 2) (sqrt.f64 x)))
99.2%
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 3/2) (sqrt.f64 x)))
99.6%
(/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))
6.9%
(/.f64 1 (+.f64 (+.f64 1 (*.f64 1/2 x)) (sqrt.f64 x)))
95.0%
(/.f64 1 (+.f64 (*.f64 (pow.f64 (+.f64 1 x) 1/6) (cbrt.f64 (+.f64 1 x))) (sqrt.f64 x)))
99.5%
(/.f64 1 (+.f64 (*.f64 (pow.f64 (+.f64 1 x) 1/8) (pow.f64 (+.f64 1 x) 3/8)) (sqrt.f64 x)))
99.0%
(/.f64 1 (+.f64 (*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 x) 1/4)) 2) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 x) 1/4)) 2)) (sqrt.f64 x)))
99.6%
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
93.9%
(/.f64 1 (+.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/2)) (sqrt.f64 x)))
68.6%
(/.f64 1 (+.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 3/2)) (sqrt.f64 x)))
6.6%
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
97.9%
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)) 2) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -2))
47.6%
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (-.f64 (+.f64 (+.f64 1 x) x) (sqrt.f64 (*.f64 x (+.f64 1 x)))))
99.6%
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2))
69.2%
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3))
6.9%
1
Compiler

Compiled 620 to 500 computations (19.4% saved)

localize302.0ms (4.5%)

Localize:

Found 16 expressions with local error:

NewAccuracyProgram
100.0%
(sqrt.f64 (+.f64 1 x))
100.0%
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
99.2%
(cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
98.9%
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -3)
100.0%
(+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))
99.2%
(/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))
69.7%
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (-.f64 (+.f64 (+.f64 1 x) x) (sqrt.f64 (*.f64 x (+.f64 1 x)))))
51.2%
(sqrt.f64 (*.f64 x (+.f64 1 x)))
100.0%
(+.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 3/2) (sqrt.f64 x))
99.6%
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 3/2) (sqrt.f64 x)))
99.4%
(pow.f64 (cbrt.f64 (+.f64 1 x)) 3/2)
99.3%
(cbrt.f64 (+.f64 1 x))
99.9%
(/.f64 1 (+.f64 (+.f64 1 (*.f64 1/2 x)) (sqrt.f64 x)))
100.0%
(hypot.f64 1 (sqrt.f64 x))
100.0%
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))
99.6%
(/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))
Compiler

Compiled 218 to 145 computations (33.5% saved)

series90.0ms (1.3%)

Counts
14 → 59
Calls

42 calls:

TimeVariablePointExpression
16.0ms
x
@inf
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -3)
12.0ms
x
@-inf
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -3)
7.0ms
x
@-inf
(/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))
6.0ms
x
@-inf
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 3/2) (sqrt.f64 x)))
5.0ms
x
@inf
(/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))

rewrite148.0ms (2.2%)

Algorithm
batch-egg-rewrite
Rules
366×associate-*r*
291×log1p-expm1-u
291×expm1-log1p-u
262×add-cube-cbrt
259×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036385
1685375
Stop Event
node limit
Counts
14 → 467
Calls
Call 1
Inputs
(/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))
(hypot.f64 1 (sqrt.f64 x))
(/.f64 1 (+.f64 (+.f64 1 (*.f64 1/2 x)) (sqrt.f64 x)))
(cbrt.f64 (+.f64 1 x))
(pow.f64 (cbrt.f64 (+.f64 1 x)) 3/2)
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 3/2) (sqrt.f64 x)))
(+.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 3/2) (sqrt.f64 x))
(sqrt.f64 (*.f64 x (+.f64 1 x)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (-.f64 (+.f64 (+.f64 1 x) x) (sqrt.f64 (*.f64 x (+.f64 1 x)))))
(/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))
(+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -3)
(cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
Outputs
(+.f64 (*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (+.f64 1 x)) (*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (-.f64 x (hypot.f64 (sqrt.f64 x) x))))
(+.f64 (*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (+.f64 1 (*.f64 x 2))) (*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (neg.f64 (hypot.f64 (sqrt.f64 x) x))))
(+.f64 (*.f64 (+.f64 1 x) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))) (*.f64 (-.f64 x (hypot.f64 (sqrt.f64 x) x)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))))
(+.f64 (*.f64 (+.f64 1 (*.f64 x 2)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))) (*.f64 (neg.f64 (hypot.f64 (sqrt.f64 x) x)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))) 1)
(-.f64 (/.f64 (+.f64 1 (*.f64 x 2)) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (/.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))))
(*.f64 1 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (+.f64 1 (-.f64 (*.f64 x 2) (hypot.f64 (sqrt.f64 x) x))))
(*.f64 (+.f64 1 (-.f64 (*.f64 x 2) (hypot.f64 (sqrt.f64 x) x))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))))
(*.f64 -1 (/.f64 1 (neg.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) -2)) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) -1/2) (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) -1/2))
(*.f64 (/.f64 1 (hypot.f64 (pow.f64 (+.f64 1 x) 3/4) (pow.f64 x 3/4))) (/.f64 (+.f64 1 (-.f64 (*.f64 x 2) (hypot.f64 (sqrt.f64 x) x))) (hypot.f64 (pow.f64 (+.f64 1 x) 3/4) (pow.f64 x 3/4))))
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(*.f64 (*.f64 (+.f64 1 (-.f64 (*.f64 x 2) (hypot.f64 (sqrt.f64 x) x))) (cbrt.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) -2))) (/.f64 1 (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))))
(*.f64 (*.f64 (+.f64 1 (-.f64 (*.f64 x 2) (hypot.f64 (sqrt.f64 x) x))) (/.f64 1 (hypot.f64 (pow.f64 (+.f64 1 x) 3/4) (pow.f64 x 3/4)))) (/.f64 1 (hypot.f64 (pow.f64 (+.f64 1 x) 3/4) (pow.f64 x 3/4))))
(/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
(/.f64 1 (neg.f64 (neg.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))
(/.f64 (+.f64 1 (-.f64 (*.f64 x 2) (hypot.f64 (sqrt.f64 x) x))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))
(/.f64 -1 (neg.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 x 2)) 3) (pow.f64 (hypot.f64 (sqrt.f64 x) x) 3)) (*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 (pow.f64 (+.f64 1 (*.f64 x 2)) 2) (fma.f64 x (+.f64 1 x) (*.f64 (+.f64 1 (*.f64 x 2)) (hypot.f64 (sqrt.f64 x) x))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 x 2)) 2) (+.f64 x (pow.f64 x 2))) (*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 1 (*.f64 x 2)) (hypot.f64 (sqrt.f64 x) x))))
(/.f64 (*.f64 -1 (-.f64 (pow.f64 (+.f64 1 (*.f64 x 2)) 3) (pow.f64 (hypot.f64 (sqrt.f64 x) x) 3))) (*.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (+.f64 (pow.f64 (+.f64 1 (*.f64 x 2)) 2) (fma.f64 x (+.f64 1 x) (*.f64 (+.f64 1 (*.f64 x 2)) (hypot.f64 (sqrt.f64 x) x))))))
(/.f64 (*.f64 -1 (-.f64 (pow.f64 (+.f64 1 (*.f64 x 2)) 2) (+.f64 x (pow.f64 x 2)))) (*.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (+.f64 (+.f64 1 (*.f64 x 2)) (hypot.f64 (sqrt.f64 x) x))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 x 2)) 3) (pow.f64 (hypot.f64 (sqrt.f64 x) x) 3)) 1) (*.f64 (+.f64 (pow.f64 (+.f64 1 (*.f64 x 2)) 2) (fma.f64 x (+.f64 1 x) (*.f64 (+.f64 1 (*.f64 x 2)) (hypot.f64 (sqrt.f64 x) x)))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 x 2)) 3) (pow.f64 (hypot.f64 (sqrt.f64 x) x) 3)) -1) (*.f64 (+.f64 (pow.f64 (+.f64 1 (*.f64 x 2)) 2) (fma.f64 x (+.f64 1 x) (*.f64 (+.f64 1 (*.f64 x 2)) (hypot.f64 (sqrt.f64 x) x)))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 x 2)) 2) (+.f64 x (pow.f64 x 2))) 1) (*.f64 (+.f64 (+.f64 1 (*.f64 x 2)) (hypot.f64 (sqrt.f64 x) x)) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 x 2)) 2) (+.f64 x (pow.f64 x 2))) -1) (*.f64 (+.f64 (+.f64 1 (*.f64 x 2)) (hypot.f64 (sqrt.f64 x) x)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))))
(/.f64 (neg.f64 (+.f64 1 (-.f64 (*.f64 x 2) (hypot.f64 (sqrt.f64 x) x)))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))))
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) 3) (pow.f64 (+.f64 1 (-.f64 (*.f64 x 2) (hypot.f64 (sqrt.f64 x) x))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 (-.f64 (*.f64 x 2) (hypot.f64 (sqrt.f64 x) x))) 3) (pow.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (-.f64 (*.f64 x 2) (hypot.f64 (sqrt.f64 x) x))) 3) (pow.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))
(exp.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))) 1)
(*.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))) 2) (cbrt.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) 1/6) (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))
(*.f64 (pow.f64 (hypot.f64 (pow.f64 x 1/4) (pow.f64 (+.f64 1 x) 1/4)) 1/3) (pow.f64 (hypot.f64 (pow.f64 x 1/4) (pow.f64 (+.f64 1 x) 1/4)) 1/3))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (cbrt.f64 (+.f64 1 (-.f64 (*.f64 x 2) (hypot.f64 (sqrt.f64 x) x)))))
(/.f64 (cbrt.f64 (+.f64 1 (-.f64 x x))) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) 1/3)
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))) 3)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) 2))
(log.f64 (exp.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))
(exp.f64 (log.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))

simplify214.0ms (3.2%)

Algorithm
egg-herbie
Rules
1040×associate-*r*
988×associate-*l*
800×fma-def
568×times-frac
428×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
083227975
1213925951
Stop Event
node limit
Counts
526 → 502
Calls
Call 1
Inputs
1
1
1
1
(/.f64 2 x)
(/.f64 2 x)
1
(+.f64 1 (*.f64 1/3 x))
(+.f64 1 (+.f64 (*.f64 -1/9 (pow.f64 x 2)) (*.f64 1/3 x)))
(+.f64 1 (+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 (*.f64 5/81 (pow.f64 x 3)) (*.f64 1/3 x))))
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))))
1
1
x
(+.f64 1/2 x)
(-.f64 (+.f64 1/2 x) (*.f64 1/8 (/.f64 1 x)))
(-.f64 (+.f64 1/2 (+.f64 x (*.f64 1/16 (/.f64 1 (pow.f64 x 2))))) (*.f64 1/8 (/.f64 1 x)))
(*.f64 -1 (*.f64 x (pow.f64 (sqrt.f64 -1) 2)))
(+.f64 1/2 (*.f64 -1 (*.f64 x (pow.f64 (sqrt.f64 -1) 2))))
(+.f64 1/2 (+.f64 (*.f64 -1 (*.f64 x (pow.f64 (sqrt.f64 -1) 2))) (*.f64 1/8 (/.f64 1 (*.f64 x (pow.f64 (sqrt.f64 -1) 2))))))
(+.f64 1/2 (+.f64 (*.f64 -1 (*.f64 x (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 4)))) (*.f64 1/8 (/.f64 1 (*.f64 x (pow.f64 (sqrt.f64 -1) 2)))))))
(/.f64 1 (+.f64 1 (pow.f64 x 3/2)))
(*.f64 1/2 (sqrt.f64 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 x)))) (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (*.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 x))))) (+.f64 (*.f64 3/32 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 3/4 (/.f64 (-.f64 (*.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) x)))))
(-.f64 (+.f64 (*.f64 -1/32 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (+.f64 (*.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 x)))))) (+.f64 (*.f64 -1/64 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (+.f64 (*.f64 3/32 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 3/16 (/.f64 (-.f64 (*.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (pow.f64 x 2))) (+.f64 (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 3/4 (/.f64 (-.f64 (*.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 3/32 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 3/4 (-.f64 (*.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))))) (pow.f64 x 2))) (*.f64 3/4 (/.f64 (-.f64 (*.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) x))))))))
(*.f64 1/2 (/.f64 (*.f64 x (+.f64 2 (pow.f64 (sqrt.f64 -1) 2))) (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))))))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))))) (*.f64 1/2 (/.f64 (*.f64 x (+.f64 2 (pow.f64 (sqrt.f64 -1) 2))) (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))))))) (*.f64 3/8 (/.f64 (+.f64 2 (pow.f64 (sqrt.f64 -1) 2)) (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/16 (/.f64 1 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (pow.f64 (sqrt.f64 -1) 2)))) (+.f64 (*.f64 -3/4 (-.f64 (*.f64 1/4 (/.f64 1 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))))) (*.f64 3/8 (/.f64 (+.f64 2 (pow.f64 (sqrt.f64 -1) 2)) (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))))))) (*.f64 -3/32 (/.f64 (+.f64 2 (pow.f64 (sqrt.f64 -1) 2)) (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))))))) x)) (+.f64 (*.f64 1/4 (/.f64 1 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))))) (*.f64 1/2 (/.f64 (*.f64 x (+.f64 2 (pow.f64 (sqrt.f64 -1) 2))) (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))))))) (*.f64 3/8 (/.f64 (+.f64 2 (pow.f64 (sqrt.f64 -1) 2)) (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -3/4 (-.f64 (*.f64 1/16 (/.f64 1 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (pow.f64 (sqrt.f64 -1) 2)))) (+.f64 (*.f64 -3/4 (-.f64 (*.f64 1/4 (/.f64 1 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))))) (*.f64 3/8 (/.f64 (+.f64 2 (pow.f64 (sqrt.f64 -1) 2)) (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))))))) (*.f64 -3/32 (/.f64 (+.f64 2 (pow.f64 (sqrt.f64 -1) 2)) (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))))))))) (+.f64 (*.f64 -1/64 (/.f64 (+.f64 2 (pow.f64 (sqrt.f64 -1) 2)) (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))))) (+.f64 (*.f64 1/32 (/.f64 1 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (pow.f64 (sqrt.f64 -1) 4)))) (*.f64 3/16 (-.f64 (*.f64 1/4 (/.f64 1 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))))) (*.f64 3/8 (/.f64 (+.f64 2 (pow.f64 (sqrt.f64 -1) 2)) (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))))))))))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/16 (/.f64 1 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (pow.f64 (sqrt.f64 -1) 2)))) (+.f64 (*.f64 -3/4 (-.f64 (*.f64 1/4 (/.f64 1 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))))) (*.f64 3/8 (/.f64 (+.f64 2 (pow.f64 (sqrt.f64 -1) 2)) (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))))))) (*.f64 -3/32 (/.f64 (+.f64 2 (pow.f64 (sqrt.f64 -1) 2)) (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))))))) x)) (+.f64 (*.f64 1/4 (/.f64 1 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))))) (*.f64 1/2 (/.f64 (*.f64 x (+.f64 2 (pow.f64 (sqrt.f64 -1) 2))) (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))))))))) (*.f64 3/8 (/.f64 (+.f64 2 (pow.f64 (sqrt.f64 -1) 2)) (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))))))
(/.f64 1 (+.f64 1 (pow.f64 x 3/2)))
(+.f64 (*.f64 -3/2 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x 3/2)) 2))) (/.f64 1 (+.f64 1 (pow.f64 x 3/2))))
(+.f64 (*.f64 -3/2 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x 3/2)) 2))) (+.f64 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 9/4 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x 3/2)) 3))) (*.f64 3/8 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x 3/2)) 2))))) (/.f64 1 (+.f64 1 (pow.f64 x 3/2)))))
(+.f64 (*.f64 -3/2 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x 3/2)) 2))) (+.f64 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 9/4 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x 3/2)) 3))) (*.f64 3/8 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x 3/2)) 2))))) (+.f64 (*.f64 (pow.f64 x 3) (-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x 3/2)) 2))) (*.f64 9/16 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x 3/2)) 3)))) (*.f64 3/2 (/.f64 (-.f64 (*.f64 9/4 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x 3/2)) 3))) (*.f64 3/8 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x 3/2)) 2)))) (+.f64 1 (pow.f64 x 3/2)))))) (/.f64 1 (+.f64 1 (pow.f64 x 3/2))))))
(*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))
(+.f64 (*.f64 -3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -9/32 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 3/32 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (pow.f64 x 2))) (+.f64 (*.f64 -3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))
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1
1
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(fma.f64 (pow.f64 (+.f64 1 x) 3/4) (pow.f64 (+.f64 1 x) 3/4) (pow.f64 x 3/2))
(fma.f64 (pow.f64 x 3/4) (pow.f64 x 3/4) (pow.f64 (+.f64 1 x) 3/2))
(+.f64 (*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (+.f64 1 x)) (*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (-.f64 x (hypot.f64 (sqrt.f64 x) x))))
(+.f64 (*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (+.f64 1 (*.f64 x 2))) (*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (neg.f64 (hypot.f64 (sqrt.f64 x) x))))
(+.f64 (*.f64 (+.f64 1 x) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))) (*.f64 (-.f64 x (hypot.f64 (sqrt.f64 x) x)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))))
(+.f64 (*.f64 (+.f64 1 (*.f64 x 2)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))) (*.f64 (neg.f64 (hypot.f64 (sqrt.f64 x) x)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))) 1)
(-.f64 (/.f64 (+.f64 1 (*.f64 x 2)) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (/.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))))
(*.f64 1 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (+.f64 1 (-.f64 (*.f64 x 2) (hypot.f64 (sqrt.f64 x) x))))
(*.f64 (+.f64 1 (-.f64 (*.f64 x 2) (hypot.f64 (sqrt.f64 x) x))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))))
(*.f64 -1 (/.f64 1 (neg.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) -2)) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) -1/2) (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) -1/2))
(*.f64 (/.f64 1 (hypot.f64 (pow.f64 (+.f64 1 x) 3/4) (pow.f64 x 3/4))) (/.f64 (+.f64 1 (-.f64 (*.f64 x 2) (hypot.f64 (sqrt.f64 x) x))) (hypot.f64 (pow.f64 (+.f64 1 x) 3/4) (pow.f64 x 3/4))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) -1))
(*.f64 (pow.f64 (hypot.f64 (pow.f64 x 1/4) (pow.f64 (+.f64 1 x) 1/4)) -1) (pow.f64 (hypot.f64 (pow.f64 x 1/4) (pow.f64 (+.f64 1 x) 1/4)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))) 2) -3) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))) -3))
(*.f64 (pow.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) 1/6) -3) (pow.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) 1/6) -3))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) 2)) (/.f64 (+.f64 1 (-.f64 (*.f64 x 2) (hypot.f64 (sqrt.f64 x) x))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (*.f64 x 2) (hypot.f64 (sqrt.f64 x) x)))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (-.f64 (*.f64 x 2) (hypot.f64 (sqrt.f64 x) x)))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (*.f64 x 2) (hypot.f64 (sqrt.f64 x) x)))) 2) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) 2)) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (*.f64 x 2) (hypot.f64 (sqrt.f64 x) x)))) 2) (hypot.f64 (pow.f64 (+.f64 1 x) 3/4) (pow.f64 x 3/4))) (/.f64 (cbrt.f64 (+.f64 1 (-.f64 (*.f64 x 2) (hypot.f64 (sqrt.f64 x) x)))) (hypot.f64 (pow.f64 (+.f64 1 x) 3/4) (pow.f64 x 3/4))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 (-.f64 (*.f64 x 2) (hypot.f64 (sqrt.f64 x) x)))) 1) (/.f64 (sqrt.f64 (+.f64 1 (-.f64 (*.f64 x 2) (hypot.f64 (sqrt.f64 x) x)))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 (-.f64 (*.f64 x 2) (hypot.f64 (sqrt.f64 x) x)))) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) 2)) (/.f64 (sqrt.f64 (+.f64 1 (-.f64 (*.f64 x 2) (hypot.f64 (sqrt.f64 x) x)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))))
(*.f64 (*.f64 (+.f64 1 (-.f64 (*.f64 x 2) (hypot.f64 (sqrt.f64 x) x))) 1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))))
(*.f64 (*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) 1) (+.f64 1 (-.f64 (*.f64 x 2) (hypot.f64 (sqrt.f64 x) x))))
(*.f64 (*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (*.f64 x 2) (hypot.f64 (sqrt.f64 x) x)))) 2)) (cbrt.f64 (+.f64 1 (-.f64 (*.f64 x 2) (hypot.f64 (sqrt.f64 x) x)))))
(*.f64 (*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (sqrt.f64 (+.f64 1 (-.f64 (*.f64 x 2) (hypot.f64 (sqrt.f64 x) x))))) (sqrt.f64 (+.f64 1 (-.f64 (*.f64 x 2) (hypot.f64 (sqrt.f64 x) x)))))
(*.f64 (*.f64 (+.f64 1 (-.f64 (*.f64 x 2) (hypot.f64 (sqrt.f64 x) x))) (cbrt.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) -2))) (/.f64 1 (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))))
(*.f64 (*.f64 (+.f64 1 (-.f64 (*.f64 x 2) (hypot.f64 (sqrt.f64 x) x))) (/.f64 1 (hypot.f64 (pow.f64 (+.f64 1 x) 3/4) (pow.f64 x 3/4)))) (/.f64 1 (hypot.f64 (pow.f64 (+.f64 1 x) 3/4) (pow.f64 x 3/4))))
(/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
(/.f64 1 (neg.f64 (neg.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))
(/.f64 (+.f64 1 (-.f64 (*.f64 x 2) (hypot.f64 (sqrt.f64 x) x))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))
(/.f64 -1 (neg.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 x 2)) 3) (pow.f64 (hypot.f64 (sqrt.f64 x) x) 3)) (*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 (pow.f64 (+.f64 1 (*.f64 x 2)) 2) (fma.f64 x (+.f64 1 x) (*.f64 (+.f64 1 (*.f64 x 2)) (hypot.f64 (sqrt.f64 x) x))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 x 2)) 2) (+.f64 x (pow.f64 x 2))) (*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 1 (*.f64 x 2)) (hypot.f64 (sqrt.f64 x) x))))
(/.f64 (*.f64 -1 (-.f64 (pow.f64 (+.f64 1 (*.f64 x 2)) 3) (pow.f64 (hypot.f64 (sqrt.f64 x) x) 3))) (*.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (+.f64 (pow.f64 (+.f64 1 (*.f64 x 2)) 2) (fma.f64 x (+.f64 1 x) (*.f64 (+.f64 1 (*.f64 x 2)) (hypot.f64 (sqrt.f64 x) x))))))
(/.f64 (*.f64 -1 (-.f64 (pow.f64 (+.f64 1 (*.f64 x 2)) 2) (+.f64 x (pow.f64 x 2)))) (*.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (+.f64 (+.f64 1 (*.f64 x 2)) (hypot.f64 (sqrt.f64 x) x))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 x 2)) 3) (pow.f64 (hypot.f64 (sqrt.f64 x) x) 3)) 1) (*.f64 (+.f64 (pow.f64 (+.f64 1 (*.f64 x 2)) 2) (fma.f64 x (+.f64 1 x) (*.f64 (+.f64 1 (*.f64 x 2)) (hypot.f64 (sqrt.f64 x) x)))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 x 2)) 3) (pow.f64 (hypot.f64 (sqrt.f64 x) x) 3)) -1) (*.f64 (+.f64 (pow.f64 (+.f64 1 (*.f64 x 2)) 2) (fma.f64 x (+.f64 1 x) (*.f64 (+.f64 1 (*.f64 x 2)) (hypot.f64 (sqrt.f64 x) x)))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 x 2)) 2) (+.f64 x (pow.f64 x 2))) 1) (*.f64 (+.f64 (+.f64 1 (*.f64 x 2)) (hypot.f64 (sqrt.f64 x) x)) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 x 2)) 2) (+.f64 x (pow.f64 x 2))) -1) (*.f64 (+.f64 (+.f64 1 (*.f64 x 2)) (hypot.f64 (sqrt.f64 x) x)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))))
(/.f64 (neg.f64 (+.f64 1 (-.f64 (*.f64 x 2) (hypot.f64 (sqrt.f64 x) x)))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))))
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) 3) (pow.f64 (+.f64 1 (-.f64 (*.f64 x 2) (hypot.f64 (sqrt.f64 x) x))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 (-.f64 (*.f64 x 2) (hypot.f64 (sqrt.f64 x) x))) 3) (pow.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (-.f64 (*.f64 x 2) (hypot.f64 (sqrt.f64 x) x))) 3) (pow.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))
(exp.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))) 1)
(*.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))) 2) (cbrt.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) 1/6) (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))
(*.f64 (pow.f64 (hypot.f64 (pow.f64 x 1/4) (pow.f64 (+.f64 1 x) 1/4)) 1/3) (pow.f64 (hypot.f64 (pow.f64 x 1/4) (pow.f64 (+.f64 1 x) 1/4)) 1/3))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (cbrt.f64 (+.f64 1 (-.f64 (*.f64 x 2) (hypot.f64 (sqrt.f64 x) x)))))
(/.f64 (cbrt.f64 (+.f64 1 (-.f64 x x))) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) 1/3)
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))) 3)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) 2))
(log.f64 (exp.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))
(exp.f64 (log.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))
Outputs
1
1
1
1
(/.f64 2 x)
(/.f64 2 x)
1
(+.f64 1 (*.f64 1/3 x))
(+.f64 1 (*.f64 x 1/3))
(fma.f64 x 1/3 1)
(+.f64 1 (+.f64 (*.f64 -1/9 (pow.f64 x 2)) (*.f64 1/3 x)))
(+.f64 1 (fma.f64 -1/9 (pow.f64 x 2) (*.f64 x 1/3)))
(+.f64 1 (+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 (*.f64 5/81 (pow.f64 x 3)) (*.f64 1/3 x))))
(+.f64 1 (fma.f64 -1/9 (pow.f64 x 2) (fma.f64 5/81 (pow.f64 x 3) (*.f64 x 1/3))))
1
(+.f64 1 (*.f64 1/2 x))
(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 (pow.f64 x 2) -1/8 (*.f64 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 (pow.f64 x 2) -1/8 (fma.f64 (pow.f64 x 3) 1/16 (*.f64 x 1/2))))
1
1
x
(+.f64 1/2 x)
(+.f64 x 1/2)
(-.f64 (+.f64 1/2 x) (*.f64 1/8 (/.f64 1 x)))
(-.f64 (+.f64 x 1/2) (/.f64 1/8 x))
(+.f64 x (-.f64 1/2 (/.f64 1/8 x)))
(-.f64 (+.f64 1/2 (+.f64 x (*.f64 1/16 (/.f64 1 (pow.f64 x 2))))) (*.f64 1/8 (/.f64 1 x)))
(+.f64 1/2 (-.f64 (+.f64 x (/.f64 1/16 (pow.f64 x 2))) (/.f64 1/8 x)))
(+.f64 1/2 (+.f64 x (-.f64 (/.f64 1/16 (pow.f64 x 2)) (/.f64 1/8 x))))
(*.f64 -1 (*.f64 x (pow.f64 (sqrt.f64 -1) 2)))
(neg.f64 (*.f64 x (pow.f64 (sqrt.f64 -1) 2)))
(*.f64 1 x)
(+.f64 1/2 (*.f64 -1 (*.f64 x (pow.f64 (sqrt.f64 -1) 2))))
(+.f64 1/2 (neg.f64 (*.f64 x (pow.f64 (sqrt.f64 -1) 2))))
(-.f64 1/2 (neg.f64 x))
(+.f64 1/2 (+.f64 (*.f64 -1 (*.f64 x (pow.f64 (sqrt.f64 -1) 2))) (*.f64 1/8 (/.f64 1 (*.f64 x (pow.f64 (sqrt.f64 -1) 2))))))
(+.f64 1/2 (fma.f64 -1 (*.f64 x (pow.f64 (sqrt.f64 -1) 2)) (/.f64 1/8 (*.f64 x (pow.f64 (sqrt.f64 -1) 2)))))
(+.f64 (-.f64 1/2 (neg.f64 x)) (/.f64 1/8 (neg.f64 x)))
(+.f64 1/2 (+.f64 (*.f64 -1 (*.f64 x (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 4)))) (*.f64 1/8 (/.f64 1 (*.f64 x (pow.f64 (sqrt.f64 -1) 2)))))))
(+.f64 1/2 (fma.f64 -1 (*.f64 x (pow.f64 (sqrt.f64 -1) 2)) (+.f64 (/.f64 1/8 (*.f64 x (pow.f64 (sqrt.f64 -1) 2))) (/.f64 1/16 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 4))))))
(+.f64 1/2 (+.f64 (-.f64 (/.f64 1/8 (neg.f64 x)) (neg.f64 x)) (/.f64 1/16 (*.f64 1 (pow.f64 x 2)))))
(/.f64 1 (+.f64 1 (pow.f64 x 3/2)))
(*.f64 1/2 (sqrt.f64 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 x)))) (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (fma.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (sqrt.f64 (/.f64 1 x)))) (*.f64 -3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 x))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) -1/8))
(-.f64 (+.f64 (*.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 x))))) (+.f64 (*.f64 3/32 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 3/4 (/.f64 (-.f64 (*.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) x)))))
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1
1
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(*.f64 (pow.f64 (hypot.f64 (pow.f64 x 1/4) (pow.f64 (+.f64 1 x) 1/4)) 1/3) (pow.f64 (hypot.f64 (pow.f64 x 1/4) (pow.f64 (+.f64 1 x) 1/4)) 1/3))
(*.f64 (cbrt.f64 (hypot.f64 (pow.f64 x 1/4) (pow.f64 (+.f64 1 x) 1/4))) (cbrt.f64 (hypot.f64 (pow.f64 x 1/4) (pow.f64 (+.f64 1 x) 1/4))))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (cbrt.f64 (+.f64 1 (-.f64 (*.f64 x 2) (hypot.f64 (sqrt.f64 x) x)))))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 1 x) 3/2))) (cbrt.f64 (+.f64 1 (-.f64 (*.f64 2 x) (hypot.f64 (sqrt.f64 x) x)))))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 1 x) 3/2))) (cbrt.f64 (-.f64 (fma.f64 2 x 1) (hypot.f64 (sqrt.f64 x) x))))
(/.f64 (cbrt.f64 (+.f64 1 (-.f64 x x))) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 1 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) 1/3)
(cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) 1)
(cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))) 3)
(cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) 1/6) 2)
(cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
(sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) 2))
(fabs.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))
(log.f64 (exp.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))
(cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))))
(cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
(expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))
(cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
(exp.f64 (log.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))
(cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) 1/3))
(cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))) 1))
(cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
(log1p.f64 (expm1.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))
(cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))

eval354.0ms (5.3%)

Compiler

Compiled 17500 to 13528 computations (22.7% saved)

prune112.0ms (1.7%)

Pruning

14 alts after pruning (10 fresh and 4 done)

PrunedKeptTotal
New6854689
Fresh9615
Picked415
Done033
Total69814712
Accuracy
100.0%
Counts
712 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) 2)
99.2%
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -2)
6.9%
(/.f64 2 x)
99.4%
(/.f64 1 (+.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/4) 2) (sqrt.f64 x)))
99.2%
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 3/2) (sqrt.f64 x)))
95.0%
(/.f64 1 (+.f64 (*.f64 (pow.f64 (+.f64 1 x) 1/6) (cbrt.f64 (+.f64 1 x))) (sqrt.f64 x)))
99.6%
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
93.9%
(/.f64 1 (+.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/2)) (sqrt.f64 x)))
68.6%
(/.f64 1 (+.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 3/2)) (sqrt.f64 x)))
6.6%
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
68.0%
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (-.f64 (+.f64 (+.f64 1 x) x) (+.f64 x 1/2)))
66.9%
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (-.f64 (+.f64 (+.f64 1 x) x) x))
98.0%
(*.f64 1/2 (sqrt.f64 (/.f64 1 x)))
6.9%
1
Compiler

Compiled 288 to 232 computations (19.4% saved)

localize303.0ms (4.5%)

Localize:

Found 15 expressions with local error:

NewAccuracyProgram
99.6%
(/.f64 1 (+.f64 (*.f64 (pow.f64 (+.f64 1 x) 1/6) (cbrt.f64 (+.f64 1 x))) (sqrt.f64 x)))
99.5%
(*.f64 (pow.f64 (+.f64 1 x) 1/6) (cbrt.f64 (+.f64 1 x)))
99.3%
(cbrt.f64 (+.f64 1 x))
93.6%
(pow.f64 (+.f64 1 x) 1/6)
100.0%
(log1p.f64 x)
100.0%
(+.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/2)) (sqrt.f64 x))
99.6%
(/.f64 1 (+.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/2)) (sqrt.f64 x)))
92.3%
(exp.f64 (*.f64 (log1p.f64 x) 1/2))
100.0%
(-.f64 (+.f64 (+.f64 1 x) x) x)
100.0%
(+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))
99.2%
(/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))
69.7%
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (-.f64 (+.f64 (+.f64 1 x) x) x))
100.0%
(+.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/4) 2) (sqrt.f64 x))
99.6%
(/.f64 1 (+.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/4) 2) (sqrt.f64 x)))
99.2%
(pow.f64 (pow.f64 (+.f64 1 x) 1/4) 2)
Compiler

Compiled 204 to 141 computations (30.9% saved)

series43.0ms (0.6%)

Counts
12 → 81
Calls

36 calls:

TimeVariablePointExpression
8.0ms
x
@inf
(/.f64 1 (+.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/2)) (sqrt.f64 x)))
6.0ms
x
@-inf
(/.f64 1 (+.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/2)) (sqrt.f64 x)))
6.0ms
x
@-inf
(/.f64 1 (+.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/4) 2) (sqrt.f64 x)))
4.0ms
x
@inf
(/.f64 1 (+.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/4) 2) (sqrt.f64 x)))
2.0ms
x
@-inf
(/.f64 1 (+.f64 (*.f64 (pow.f64 (+.f64 1 x) 1/6) (cbrt.f64 (+.f64 1 x))) (sqrt.f64 x)))

rewrite200.0ms (3%)

Algorithm
batch-egg-rewrite
Rules
612×expm1-udef
314×associate-*r*
242×log1p-expm1-u
242×expm1-log1p-u
225×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035327
1609257
27813257
Stop Event
node limit
Counts
12 → 443
Calls
Call 1
Inputs
(pow.f64 (pow.f64 (+.f64 1 x) 1/4) 2)
(/.f64 1 (+.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/4) 2) (sqrt.f64 x)))
(+.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/4) 2) (sqrt.f64 x))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (-.f64 (+.f64 (+.f64 1 x) x) x))
(-.f64 (+.f64 (+.f64 1 x) x) x)
(exp.f64 (*.f64 (log1p.f64 x) 1/2))
(/.f64 1 (+.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/2)) (sqrt.f64 x)))
(+.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/2)) (sqrt.f64 x))
(log1p.f64 x)
(pow.f64 (+.f64 1 x) 1/6)
(*.f64 (pow.f64 (+.f64 1 x) 1/6) (cbrt.f64 (+.f64 1 x)))
(/.f64 1 (+.f64 (*.f64 (pow.f64 (+.f64 1 x) 1/6) (cbrt.f64 (+.f64 1 x))) (sqrt.f64 x)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x)))) 1)
(*.f64 1 (sqrt.f64 (+.f64 1 x)))
(*.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4))
(*.f64 (sqrt.f64 (+.f64 1 x)) 1)
(*.f64 (cbrt.f64 (+.f64 1 x)) (pow.f64 (+.f64 1 x) 1/6))
(*.f64 (pow.f64 (+.f64 1 x) 1/6) (cbrt.f64 (+.f64 1 x)))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) (*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 1/6)) (cbrt.f64 (+.f64 1 x))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2))) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) (pow.f64 (+.f64 1 x) 1/6)))
(*.f64 (pow.f64 (+.f64 1 x) 1/8) (*.f64 (pow.f64 (+.f64 1 x) 1/8) (pow.f64 (+.f64 1 x) 1/4)))
(*.f64 (pow.f64 (+.f64 1 x) 1/12) (*.f64 (pow.f64 (+.f64 1 x) 1/12) (cbrt.f64 (+.f64 1 x))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2)) 1/2) (pow.f64 (+.f64 1 x) 1/6))
(*.f64 (*.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/8)) (pow.f64 (+.f64 1 x) 1/8))
(*.f64 (*.f64 (pow.f64 (+.f64 1 x) 1/6) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2)))) (cbrt.f64 (cbrt.f64 (+.f64 1 x))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 (pow.f64 (+.f64 1 x) 1/6)))
(*.f64 (*.f64 (cbrt.f64 (+.f64 1 x)) (pow.f64 (+.f64 1 x) 1/12)) (pow.f64 (+.f64 1 x) 1/12))
(*.f64 (*.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/6)) (pow.f64 (+.f64 1 x) 1/12))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 x 2)) 2) (pow.f64 x 2))) (sqrt.f64 (+.f64 (+.f64 1 x) (*.f64 x 2))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (sqrt.f64 (-.f64 1 x)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 x 2)) 3) (pow.f64 x 3))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (*.f64 x 2)) 2) (*.f64 x (+.f64 (+.f64 1 x) (*.f64 x 2))))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 3))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 x 2) x))))
(sqrt.f64 (+.f64 1 x))
(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 (log1p.f64 x) 1/2))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 x)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 -1 (sqrt.f64 x)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (neg.f64 (pow.f64 x 1/4)) (pow.f64 x 1/4)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 x)) 1 (sqrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x) (sqrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x 1/4)) (pow.f64 x 1/4) (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1)
(*.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1)
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (-.f64 (+.f64 1 (*.f64 x 2)) (pow.f64 (*.f64 x (+.f64 1 x)) 1/2)))
(*.f64 -1 (/.f64 1 (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(*.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1))
(*.f64 (pow.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) -1) (pow.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) -1))
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) (-.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1)
(pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1)
(pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2)
(sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(log.f64 (/.f64 (exp.f64 (sqrt.f64 (+.f64 1 x))) (exp.f64 (sqrt.f64 x))))
(cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(exp.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1))
(exp.f64 (*.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1))
(log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 x)))
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) (neg.f64 (sqrt.f64 x)))
(fma.f64 (cbrt.f64 (+.f64 1 x)) (pow.f64 (+.f64 1 x) 1/6) (neg.f64 (sqrt.f64 x)))
(fma.f64 (pow.f64 (+.f64 1 x) 1/6) (cbrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1)
(-.f64 (/.f64 (+.f64 1 x) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 x (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1)
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (/.f64 1 (-.f64 (+.f64 1 (*.f64 x 2)) (pow.f64 (*.f64 x (+.f64 1 x)) 1/2))))
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(*.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)))
(/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 1 (/.f64 (-.f64 (+.f64 1 (*.f64 x 2)) (pow.f64 (*.f64 x (+.f64 1 x)) 1/2)) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))))
(/.f64 1 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1))
(/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1)
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (-.f64 (+.f64 1 (*.f64 x 2)) (pow.f64 (*.f64 x (+.f64 1 x)) 1/2)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 x (-.f64 (+.f64 1 x) (pow.f64 (*.f64 x (+.f64 1 x)) 1/2))))
(/.f64 -1 (neg.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1)
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (neg.f64 (-.f64 (+.f64 1 (*.f64 x 2)) (pow.f64 (*.f64 x (+.f64 1 x)) 1/2))))
(/.f64 (-.f64 x (+.f64 1 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1)
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 3)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3) 1/3)
(pow.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) 2)
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3))
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(log.f64 (exp.f64 (sqrt.f64 (+.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 x)))))
(cbrt.f64 (pow.f64 (+.f64 1 x) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))))
(hypot.f64 1 (sqrt.f64 x))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 x)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 -1 (sqrt.f64 x)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (neg.f64 (pow.f64 x 1/4)) (pow.f64 x 1/4)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 x)) 1 (sqrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x) (sqrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x 1/4)) (pow.f64 x 1/4) (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1)
(*.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1)
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (-.f64 (+.f64 1 (*.f64 x 2)) (pow.f64 (*.f64 x (+.f64 1 x)) 1/2)))
(*.f64 -1 (/.f64 1 (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(*.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1))
(*.f64 (pow.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) -1) (pow.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) -1))
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) (-.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1)
(pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1)
(pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2)
(sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(log.f64 (/.f64 (exp.f64 (sqrt.f64 (+.f64 1 x))) (exp.f64 (sqrt.f64 x))))
(cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(exp.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1))
(exp.f64 (*.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1))
(log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 x)))
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) (neg.f64 (sqrt.f64 x)))
(fma.f64 (cbrt.f64 (+.f64 1 x)) (pow.f64 (+.f64 1 x) 1/6) (neg.f64 (sqrt.f64 x)))
(fma.f64 (pow.f64 (+.f64 1 x) 1/6) (cbrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1)
(-.f64 (/.f64 (+.f64 1 x) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 x (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1)
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (/.f64 1 (-.f64 (+.f64 1 (*.f64 x 2)) (pow.f64 (*.f64 x (+.f64 1 x)) 1/2))))
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(*.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)))
(/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 1 (/.f64 (-.f64 (+.f64 1 (*.f64 x 2)) (pow.f64 (*.f64 x (+.f64 1 x)) 1/2)) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))))
(/.f64 1 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1))
(/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1)
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (-.f64 (+.f64 1 (*.f64 x 2)) (pow.f64 (*.f64 x (+.f64 1 x)) 1/2)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 x (-.f64 (+.f64 1 x) (pow.f64 (*.f64 x (+.f64 1 x)) 1/2))))
(/.f64 -1 (neg.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1)
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (neg.f64 (-.f64 (+.f64 1 (*.f64 x 2)) (pow.f64 (*.f64 x (+.f64 1 x)) 1/2))))
(/.f64 (-.f64 x (+.f64 1 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1)
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 3)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3) 1/3)
(pow.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) 2)
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(fma.f64 1 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) (sqrt.f64 x))
(fma.f64 (cbrt.f64 (+.f64 1 x)) (pow.f64 (+.f64 1 x) 1/6) (sqrt.f64 x))
(fma.f64 (pow.f64 (+.f64 1 x) 1/6) (cbrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(fma.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (pow.f64 x 1/4) (pow.f64 x 1/4) (sqrt.f64 (+.f64 1 x)))
(+.f64 (*.f64 (log1p.f64 x) 1/2) (*.f64 (log1p.f64 x) 1/2))
(+.f64 0 (log1p.f64 x))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2))) (*.f64 1/3 (log1p.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 x))) 1)
(-.f64 (log.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 x 2)) 3) (pow.f64 x 3))) (log.f64 (+.f64 (pow.f64 (+.f64 1 (*.f64 x 2)) 2) (*.f64 x (+.f64 (+.f64 1 x) (*.f64 x 2))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 x 2)) 2) (pow.f64 x 2))) (log.f64 (+.f64 (+.f64 1 x) (*.f64 x 2))))
(-.f64 (log.f64 (+.f64 1 (pow.f64 x 3))) (log.f64 (+.f64 1 (-.f64 (pow.f64 x 2) x))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 x 2))) (log.f64 (-.f64 1 x)))
(*.f64 1 (log1p.f64 x))
(*.f64 (log1p.f64 x) 1)
(*.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)))
(*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))
(pow.f64 (log1p.f64 x) 1)
(pow.f64 (cbrt.f64 (log1p.f64 x)) 3)
(pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 x)) 2)
(sqrt.f64 (pow.f64 (log1p.f64 x) 2))
(log.f64 (+.f64 1 x))
(cbrt.f64 (pow.f64 (log1p.f64 x) 3))
(expm1.f64 (log1p.f64 (log1p.f64 x)))
(exp.f64 (log.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (log.f64 (log1p.f64 x)) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 1 x) 1/6))) 1)
(*.f64 1 (pow.f64 (+.f64 1 x) 1/6))
(*.f64 (pow.f64 (+.f64 1 x) 1/6) 1)
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 1/6)) (cbrt.f64 (cbrt.f64 (+.f64 1 x))))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 1 x) 1/6)))
(*.f64 (pow.f64 (+.f64 1 x) 1/12) (pow.f64 (+.f64 1 x) 1/12))
(*.f64 (pow.f64 1 1/6) (pow.f64 (+.f64 1 x) 1/6))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2)) 1/6) (pow.f64 (cbrt.f64 (+.f64 1 x)) 1/6))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) 1/6) (pow.f64 (sqrt.f64 (+.f64 1 x)) 1/6))
(*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x)))))
(sqrt.f64 (cbrt.f64 (+.f64 1 x)))
(fabs.f64 (pow.f64 (+.f64 1 x) 1/6))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 1 x) 1/6))))
(log.f64 (exp.f64 (pow.f64 (+.f64 1 x) 1/6)))
(cbrt.f64 (sqrt.f64 (+.f64 1 x)))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 x) 1/6)))
(exp.f64 (*.f64 (log1p.f64 x) 1/6))
(exp.f64 (*.f64 (*.f64 (log1p.f64 x) 1/6) 1))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 1 x) 1/6)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x)))) 1)
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 x 2)) 2) (pow.f64 x 2))) (sqrt.f64 (+.f64 (+.f64 1 x) (*.f64 x 2))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (sqrt.f64 (-.f64 1 x)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 x 2)) 3) (pow.f64 x 3))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (*.f64 x 2)) 2) (*.f64 x (+.f64 (+.f64 1 x) (*.f64 x 2))))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 3))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 x 2) x))))
(pow.f64 (+.f64 1 x) 1/2)
(pow.f64 (pow.f64 (+.f64 1 x) 1/4) 2)
(pow.f64 (sqrt.f64 (+.f64 1 x)) 1)
(pow.f64 (pow.f64 (+.f64 1 x) 3/2) 1/3)
(pow.f64 (pow.f64 (+.f64 1 x) 1/6) 3)
(pow.f64 (pow.f64 (+.f64 1 x) 2) 1/4)
(pow.f64 (exp.f64 1) (*.f64 (log1p.f64 x) 1/2))
(pow.f64 (exp.f64 1/2) (log1p.f64 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (log1p.f64 x) 1/2)) 2)) (cbrt.f64 (*.f64 (log1p.f64 x) 1/2)))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 (log1p.f64 x) 1/2))) (sqrt.f64 (*.f64 (log1p.f64 x) 1/2)))
(sqrt.f64 (+.f64 1 x))
(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 (log1p.f64 x) 1/2))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 x)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 -1 (sqrt.f64 x)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (neg.f64 (pow.f64 x 1/4)) (pow.f64 x 1/4)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 x)) 1 (sqrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x) (sqrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x 1/4)) (pow.f64 x 1/4) (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1)
(*.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1)
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (-.f64 (+.f64 1 (*.f64 x 2)) (pow.f64 (*.f64 x (+.f64 1 x)) 1/2)))
(*.f64 -1 (/.f64 1 (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(*.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1))
(*.f64 (pow.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) -1) (pow.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) -1))
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) (-.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1)
(pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1)
(pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2)
(sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(log.f64 (/.f64 (exp.f64 (sqrt.f64 (+.f64 1 x))) (exp.f64 (sqrt.f64 x))))
(cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(exp.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1))
(exp.f64 (*.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1))
(log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 x)))
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) (neg.f64 (sqrt.f64 x)))
(fma.f64 (cbrt.f64 (+.f64 1 x)) (pow.f64 (+.f64 1 x) 1/6) (neg.f64 (sqrt.f64 x)))
(fma.f64 (pow.f64 (+.f64 1 x) 1/6) (cbrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 x)))

simplify177.0ms (2.7%)

Algorithm
egg-herbie
Rules
1014×fma-def
690×associate-*r*
636×associate-*l*
506×+-commutative
476×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
079322233
1201020499
Stop Event
node limit
Counts
524 → 496
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x))))
(sqrt.f64 x)
(+.f64 (sqrt.f64 x) (*.f64 1/2 (sqrt.f64 (/.f64 1 x))))
(+.f64 (sqrt.f64 x) (+.f64 (*.f64 -3/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 x))))))
(+.f64 (sqrt.f64 x) (+.f64 (*.f64 -3/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 -3/64 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 7/64 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 x))))))))
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 2)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 2) x)) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 2))
(+.f64 (*.f64 -3/16 (/.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 2) (pow.f64 x 2))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 2) (pow.f64 x 2))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 2) x)) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 2))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -7/64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 2)) (*.f64 3/64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 2))) (pow.f64 x 3))) (+.f64 (*.f64 -3/16 (/.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 2) (pow.f64 x 2))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 2) (pow.f64 x 2))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 2) x)) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 2)))))
1
1
(/.f64 1 (+.f64 1 (pow.f64 x 3/2)))
(+.f64 (*.f64 x (-.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3/2))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x 3/2)) 2))))) (/.f64 1 (+.f64 1 (pow.f64 x 3/2))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 3/2 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3/2))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x 3/2)) 2)))) (+.f64 1 (pow.f64 x 3/2)))) (*.f64 3/8 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x 3/2)) 2)))))) (+.f64 (*.f64 x (-.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3/2))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x 3/2)) 2))))) (/.f64 1 (+.f64 1 (pow.f64 x 3/2)))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 3/2 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3/2))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x 3/2)) 2)))) (+.f64 1 (pow.f64 x 3/2)))) (*.f64 3/8 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x 3/2)) 2)))))) (+.f64 (*.f64 x (-.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3/2))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x 3/2)) 2))))) (+.f64 (*.f64 (pow.f64 x 3) (-.f64 (*.f64 1/16 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x 3/2)) 2))) (+.f64 (*.f64 -3/2 (/.f64 (+.f64 (*.f64 3/2 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3/2))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x 3/2)) 2)))) (+.f64 1 (pow.f64 x 3/2)))) (*.f64 3/8 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x 3/2)) 2)))) (+.f64 1 (pow.f64 x 3/2)))) (*.f64 3/8 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3/2))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x 3/2)) 2)))) (+.f64 1 (pow.f64 x 3/2))))))) (/.f64 1 (+.f64 1 (pow.f64 x 3/2))))))
(*.f64 1/2 (sqrt.f64 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 x))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 3/32 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 3/4 (-.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))) x)) (+.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 x))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))) (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -3/4 (+.f64 (*.f64 3/32 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 3/4 (-.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))))) (+.f64 (*.f64 -1/64 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 3/16 (-.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 3/32 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 3/4 (-.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))) x)) (+.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 x))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))) (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))
(*.f64 1/2 (/.f64 x (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))))))
(+.f64 (*.f64 1/2 (/.f64 x (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))))) (*.f64 1/8 (/.f64 1 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))))))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))))) (*.f64 1/2 (/.f64 x (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))))))) (*.f64 3/16 (/.f64 1 (*.f64 x (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))))))))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))))) (+.f64 (*.f64 17/128 (/.f64 1 (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))))))) (*.f64 1/2 (/.f64 x (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))))))) (*.f64 3/16 (/.f64 1 (*.f64 x (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))))))))
1
(+.f64 1 x)
(+.f64 1 x)
(+.f64 1 x)
x
(+.f64 1 x)
(+.f64 1 x)
(+.f64 1 x)
x
(+.f64 1 x)
(+.f64 1 x)
(+.f64 1 x)
1
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x))))
(sqrt.f64 x)
(+.f64 (sqrt.f64 x) (*.f64 1/2 (sqrt.f64 (/.f64 1 x))))
(+.f64 (sqrt.f64 x) (+.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 x)))))
(+.f64 (sqrt.f64 x) (+.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 x))))))
(exp.f64 (*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))))
(+.f64 (exp.f64 (*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (*.f64 1/2 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) x)))
(+.f64 (exp.f64 (*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (+.f64 (*.f64 -1/8 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 2))) (*.f64 1/2 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) x))))
(+.f64 (exp.f64 (*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (+.f64 (*.f64 -1/8 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 2))) (+.f64 (*.f64 1/16 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 3))) (*.f64 1/2 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) x)))))
1
1
x
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 x (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3))))
(+.f64 x (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/4 (pow.f64 x 4)) (*.f64 1/3 (pow.f64 x 3)))))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (/.f64 1 x)))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
1
(+.f64 1 (*.f64 1/6 x))
(+.f64 1 (+.f64 (*.f64 -5/72 (pow.f64 x 2)) (*.f64 1/6 x)))
(+.f64 1 (+.f64 (*.f64 -5/72 (pow.f64 x 2)) (+.f64 (*.f64 55/1296 (pow.f64 x 3)) (*.f64 1/6 x))))
(pow.f64 x 1/6)
(+.f64 (*.f64 1/6 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/6)) (pow.f64 x 1/6))
(+.f64 (*.f64 -5/72 (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/6)) (+.f64 (*.f64 1/6 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/6)) (pow.f64 x 1/6)))
(+.f64 (*.f64 -5/72 (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/6)) (+.f64 (*.f64 55/1296 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/6)) (+.f64 (*.f64 1/6 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/6)) (pow.f64 x 1/6))))
(exp.f64 (*.f64 1/6 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))))
(+.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (*.f64 1/6 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) x)))
(+.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (+.f64 (*.f64 -5/72 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 2))) (*.f64 1/6 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) x))))
(+.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (+.f64 (*.f64 -5/72 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 2))) (+.f64 (*.f64 55/1296 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 3))) (*.f64 1/6 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) x)))))
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))))
1
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x)))) 1)
(*.f64 1 (sqrt.f64 (+.f64 1 x)))
(*.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4))
(*.f64 (sqrt.f64 (+.f64 1 x)) 1)
(*.f64 (cbrt.f64 (+.f64 1 x)) (pow.f64 (+.f64 1 x) 1/6))
(*.f64 (pow.f64 (+.f64 1 x) 1/6) (cbrt.f64 (+.f64 1 x)))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) (*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 1/6)) (cbrt.f64 (+.f64 1 x))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2))) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) (pow.f64 (+.f64 1 x) 1/6)))
(*.f64 (pow.f64 (+.f64 1 x) 1/8) (*.f64 (pow.f64 (+.f64 1 x) 1/8) (pow.f64 (+.f64 1 x) 1/4)))
(*.f64 (pow.f64 (+.f64 1 x) 1/12) (*.f64 (pow.f64 (+.f64 1 x) 1/12) (cbrt.f64 (+.f64 1 x))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2)) 1/2) (pow.f64 (+.f64 1 x) 1/6))
(*.f64 (*.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/8)) (pow.f64 (+.f64 1 x) 1/8))
(*.f64 (*.f64 (pow.f64 (+.f64 1 x) 1/6) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2)))) (cbrt.f64 (cbrt.f64 (+.f64 1 x))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 (pow.f64 (+.f64 1 x) 1/6)))
(*.f64 (*.f64 (cbrt.f64 (+.f64 1 x)) (pow.f64 (+.f64 1 x) 1/12)) (pow.f64 (+.f64 1 x) 1/12))
(*.f64 (*.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/6)) (pow.f64 (+.f64 1 x) 1/12))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 x 2)) 2) (pow.f64 x 2))) (sqrt.f64 (+.f64 (+.f64 1 x) (*.f64 x 2))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (sqrt.f64 (-.f64 1 x)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 x 2)) 3) (pow.f64 x 3))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (*.f64 x 2)) 2) (*.f64 x (+.f64 (+.f64 1 x) (*.f64 x 2))))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 3))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 x 2) x))))
(sqrt.f64 (+.f64 1 x))
(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 (log1p.f64 x) 1/2))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 x)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 -1 (sqrt.f64 x)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (neg.f64 (pow.f64 x 1/4)) (pow.f64 x 1/4)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 x)) 1 (sqrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x) (sqrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x 1/4)) (pow.f64 x 1/4) (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1)
(*.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1)
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (-.f64 (+.f64 1 (*.f64 x 2)) (pow.f64 (*.f64 x (+.f64 1 x)) 1/2)))
(*.f64 -1 (/.f64 1 (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(*.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
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(pow.f64 (pow.f64 (+.f64 1 x) 1/6) 3)
(pow.f64 (pow.f64 (+.f64 1 x) 2) 1/4)
(pow.f64 (exp.f64 1) (*.f64 (log1p.f64 x) 1/2))
(pow.f64 (exp.f64 1/2) (log1p.f64 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (log1p.f64 x) 1/2)) 2)) (cbrt.f64 (*.f64 (log1p.f64 x) 1/2)))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 (log1p.f64 x) 1/2))) (sqrt.f64 (*.f64 (log1p.f64 x) 1/2)))
(sqrt.f64 (+.f64 1 x))
(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 (log1p.f64 x) 1/2))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 x)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 -1 (sqrt.f64 x)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (neg.f64 (pow.f64 x 1/4)) (pow.f64 x 1/4)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 x)) 1 (sqrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x) (sqrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x 1/4)) (pow.f64 x 1/4) (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1)
(*.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1)
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (-.f64 (+.f64 1 (*.f64 x 2)) (pow.f64 (*.f64 x (+.f64 1 x)) 1/2)))
(*.f64 -1 (/.f64 1 (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(*.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1))
(*.f64 (pow.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) -1) (pow.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) -1))
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) (-.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1)
(pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1)
(pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2)
(sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(log.f64 (/.f64 (exp.f64 (sqrt.f64 (+.f64 1 x))) (exp.f64 (sqrt.f64 x))))
(cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(exp.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1))
(exp.f64 (*.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1))
(log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 x)))
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) (neg.f64 (sqrt.f64 x)))
(fma.f64 (cbrt.f64 (+.f64 1 x)) (pow.f64 (+.f64 1 x) 1/6) (neg.f64 (sqrt.f64 x)))
(fma.f64 (pow.f64 (+.f64 1 x) 1/6) (cbrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 x)))
Outputs
1
(+.f64 1 (*.f64 1/2 x))
(fma.f64 1/2 x 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 1/2 x)))
(+.f64 (fma.f64 1/2 x 1) (*.f64 -1/8 (pow.f64 x 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 1/2 x))))
(+.f64 (fma.f64 -1/8 (pow.f64 x 2) (*.f64 1/16 (pow.f64 x 3))) (fma.f64 1/2 x 1))
(sqrt.f64 x)
(+.f64 (sqrt.f64 x) (*.f64 1/2 (sqrt.f64 (/.f64 1 x))))
(fma.f64 1/2 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 x))
(+.f64 (sqrt.f64 x) (+.f64 (*.f64 -3/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 x))))))
(+.f64 (sqrt.f64 x) (fma.f64 -3/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (fma.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (sqrt.f64 (/.f64 1 x))))))
(+.f64 (fma.f64 1/2 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 x)) (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (sqrt.f64 x) (+.f64 (*.f64 -3/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 -3/64 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 7/64 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 x))))))))
(+.f64 (sqrt.f64 x) (fma.f64 -3/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (fma.f64 -3/64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (fma.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (fma.f64 7/64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (sqrt.f64 (/.f64 1 x))))))))
(+.f64 (sqrt.f64 x) (fma.f64 -3/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (fma.f64 -3/64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (fma.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (fma.f64 1/2 (sqrt.f64 (/.f64 1 x)) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) 7/64))))))
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 2) x)) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 2))
(fma.f64 1/2 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) 2) x) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) 2))
(fma.f64 1/2 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2) x) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2))
(+.f64 (*.f64 -3/16 (/.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 2) (pow.f64 x 2))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 2) (pow.f64 x 2))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 2) x)) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 2))))
(fma.f64 -3/16 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) 2) (pow.f64 x 2)) (fma.f64 1/16 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) 2) (pow.f64 x 2)) (fma.f64 1/2 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) 2) x) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) 2))))
(+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2) x) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2)) (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2) (pow.f64 x 2)) -1/8))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -7/64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 2)) (*.f64 3/64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 2))) (pow.f64 x 3))) (+.f64 (*.f64 -3/16 (/.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 2) (pow.f64 x 2))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 2) (pow.f64 x 2))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 2) x)) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 2)))))
(fma.f64 -1 (/.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) 2) -1/16) (pow.f64 x 3)) (fma.f64 -3/16 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) 2) (pow.f64 x 2)) (fma.f64 1/16 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) 2) (pow.f64 x 2)) (fma.f64 1/2 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) 2) x) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) 2)))))
(-.f64 (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2) x) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2)) (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2) (pow.f64 x 2)) -1/8)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2) (/.f64 (pow.f64 x 3) -1/16)))
1
1
(/.f64 1 (+.f64 1 (pow.f64 x 3/2)))
(+.f64 (*.f64 x (-.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3/2))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x 3/2)) 2))))) (/.f64 1 (+.f64 1 (pow.f64 x 3/2))))
(fma.f64 x (-.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3/2))) (/.f64 3/2 (pow.f64 (+.f64 1 (pow.f64 x 3/2)) 2))) (/.f64 1 (+.f64 1 (pow.f64 x 3/2))))
(fma.f64 x (+.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3/2))) (/.f64 -3/2 (pow.f64 (+.f64 1 (pow.f64 x 3/2)) 2))) (/.f64 1 (+.f64 1 (pow.f64 x 3/2))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 3/2 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3/2))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x 3/2)) 2)))) (+.f64 1 (pow.f64 x 3/2)))) (*.f64 3/8 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x 3/2)) 2)))))) (+.f64 (*.f64 x (-.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3/2))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x 3/2)) 2))))) (/.f64 1 (+.f64 1 (pow.f64 x 3/2)))))
(fma.f64 -1 (*.f64 (pow.f64 x 2) (fma.f64 3/2 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3/2))) (/.f64 3/2 (pow.f64 (+.f64 1 (pow.f64 x 3/2)) 2))) (+.f64 1 (pow.f64 x 3/2))) (/.f64 3/8 (pow.f64 (+.f64 1 (pow.f64 x 3/2)) 2)))) (fma.f64 x (-.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3/2))) (/.f64 3/2 (pow.f64 (+.f64 1 (pow.f64 x 3/2)) 2))) (/.f64 1 (+.f64 1 (pow.f64 x 3/2)))))
(-.f64 (fma.f64 x (+.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3/2))) (/.f64 -3/2 (pow.f64 (+.f64 1 (pow.f64 x 3/2)) 2))) (/.f64 1 (+.f64 1 (pow.f64 x 3/2)))) (*.f64 (pow.f64 x 2) (fma.f64 3/2 (/.f64 (+.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3/2))) (/.f64 -3/2 (pow.f64 (+.f64 1 (pow.f64 x 3/2)) 2))) (+.f64 1 (pow.f64 x 3/2))) (/.f64 3/8 (pow.f64 (+.f64 1 (pow.f64 x 3/2)) 2)))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 3/2 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3/2))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x 3/2)) 2)))) (+.f64 1 (pow.f64 x 3/2)))) (*.f64 3/8 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x 3/2)) 2)))))) (+.f64 (*.f64 x (-.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3/2))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x 3/2)) 2))))) (+.f64 (*.f64 (pow.f64 x 3) (-.f64 (*.f64 1/16 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x 3/2)) 2))) (+.f64 (*.f64 -3/2 (/.f64 (+.f64 (*.f64 3/2 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3/2))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x 3/2)) 2)))) (+.f64 1 (pow.f64 x 3/2)))) (*.f64 3/8 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x 3/2)) 2)))) (+.f64 1 (pow.f64 x 3/2)))) (*.f64 3/8 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3/2))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x 3/2)) 2)))) (+.f64 1 (pow.f64 x 3/2))))))) (/.f64 1 (+.f64 1 (pow.f64 x 3/2))))))
(fma.f64 -1 (*.f64 (pow.f64 x 2) (fma.f64 3/2 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3/2))) (/.f64 3/2 (pow.f64 (+.f64 1 (pow.f64 x 3/2)) 2))) (+.f64 1 (pow.f64 x 3/2))) (/.f64 3/8 (pow.f64 (+.f64 1 (pow.f64 x 3/2)) 2)))) (fma.f64 x (-.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3/2))) (/.f64 3/2 (pow.f64 (+.f64 1 (pow.f64 x 3/2)) 2))) (fma.f64 (pow.f64 x 3) (-.f64 (/.f64 1/16 (pow.f64 (+.f64 1 (pow.f64 x 3/2)) 2)) (fma.f64 -3/2 (/.f64 (fma.f64 3/2 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3/2))) (/.f64 3/2 (pow.f64 (+.f64 1 (pow.f64 x 3/2)) 2))) (+.f64 1 (pow.f64 x 3/2))) (/.f64 3/8 (pow.f64 (+.f64 1 (pow.f64 x 3/2)) 2))) (+.f64 1 (pow.f64 x 3/2))) (*.f64 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3/2))) (/.f64 3/2 (pow.f64 (+.f64 1 (pow.f64 x 3/2)) 2))) (+.f64 1 (pow.f64 x 3/2))) 3/8))) (/.f64 1 (+.f64 1 (pow.f64 x 3/2))))))
(-.f64 (fma.f64 x (+.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3/2))) (/.f64 -3/2 (pow.f64 (+.f64 1 (pow.f64 x 3/2)) 2))) (fma.f64 (pow.f64 x 3) (-.f64 (/.f64 1/16 (pow.f64 (+.f64 1 (pow.f64 x 3/2)) 2)) (fma.f64 (/.f64 (+.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3/2))) (/.f64 -3/2 (pow.f64 (+.f64 1 (pow.f64 x 3/2)) 2))) (+.f64 1 (pow.f64 x 3/2))) 3/8 (/.f64 -3/2 (/.f64 (+.f64 1 (pow.f64 x 3/2)) (fma.f64 3/2 (/.f64 (+.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3/2))) (/.f64 -3/2 (pow.f64 (+.f64 1 (pow.f64 x 3/2)) 2))) (+.f64 1 (pow.f64 x 3/2))) (/.f64 3/8 (pow.f64 (+.f64 1 (pow.f64 x 3/2)) 2))))))) (/.f64 1 (+.f64 1 (pow.f64 x 3/2))))) (*.f64 (pow.f64 x 2) (fma.f64 3/2 (/.f64 (+.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3/2))) (/.f64 -3/2 (pow.f64 (+.f64 1 (pow.f64 x 3/2)) 2))) (+.f64 1 (pow.f64 x 3/2))) (/.f64 3/8 (pow.f64 (+.f64 1 (pow.f64 x 3/2)) 2)))))
(*.f64 1/2 (sqrt.f64 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 x))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 x))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) 1/8))
(fma.f64 1/2 (sqrt.f64 (/.f64 1 x)) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) 1/8))
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(-.f64 (fma.f64 1/2 (/.f64 x (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))))) (/.f64 1/8 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))))) (/.f64 3/16 (*.f64 x (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))))))
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(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))))) (+.f64 (*.f64 17/128 (/.f64 1 (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))))))) (*.f64 1/2 (/.f64 x (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))))))) (*.f64 3/16 (/.f64 1 (*.f64 x (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))))))))
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1
(+.f64 1 x)
(+.f64 1 x)
(+.f64 1 x)
x
(+.f64 1 x)
(+.f64 1 x)
(+.f64 1 x)
x
(+.f64 1 x)
(+.f64 1 x)
(+.f64 1 x)
1
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(fma.f64 1/2 x 1)
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(+.f64 (fma.f64 -1/8 (pow.f64 x 2) (*.f64 1/16 (pow.f64 x 3))) (fma.f64 1/2 x 1))
(sqrt.f64 x)
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(fma.f64 1/2 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 x))
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(pow.f64 (exp.f64 1/2) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))))
(pow.f64 (exp.f64 1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
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1
1
x
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
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(fma.f64 (pow.f64 x 2) -1/2 x)
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(*.f64 -1 (log.f64 (/.f64 1 x)))
(neg.f64 (neg.f64 (log.f64 x)))
(log.f64 x)
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(fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1 x))
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(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1 x)) (/.f64 1/2 (pow.f64 x 2)))
(+.f64 (/.f64 1 x) (-.f64 (log.f64 x) (/.f64 1/2 (pow.f64 x 2))))
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(-.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
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(-.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))))) (/.f64 1/2 (pow.f64 x 2)))
(+.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 1/2 (pow.f64 x 2)))))
1
(+.f64 1 (*.f64 1/6 x))
(+.f64 1 (*.f64 x 1/6))
(fma.f64 x 1/6 1)
(+.f64 1 (+.f64 (*.f64 -5/72 (pow.f64 x 2)) (*.f64 1/6 x)))
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(+.f64 1 (fma.f64 -5/72 (pow.f64 x 2) (fma.f64 55/1296 (pow.f64 x 3) (*.f64 x 1/6))))
(+.f64 1 (fma.f64 (pow.f64 x 2) -5/72 (fma.f64 (pow.f64 x 3) 55/1296 (*.f64 x 1/6))))
(pow.f64 x 1/6)
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(fma.f64 1/6 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/6) (pow.f64 x 1/6))
(+.f64 (*.f64 -5/72 (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/6)) (+.f64 (*.f64 1/6 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/6)) (pow.f64 x 1/6)))
(fma.f64 -5/72 (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/6) (fma.f64 1/6 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/6) (pow.f64 x 1/6)))
(+.f64 (*.f64 -5/72 (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/6)) (+.f64 (*.f64 55/1296 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/6)) (+.f64 (*.f64 1/6 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/6)) (pow.f64 x 1/6))))
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(exp.f64 (*.f64 1/6 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))))
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1
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1
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(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (-.f64 (+.f64 1 (*.f64 x 2)) (pow.f64 (*.f64 x (+.f64 1 x)) 1/2)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 1 x) 3/2))) (-.f64 (+.f64 1 (*.f64 x 2)) (sqrt.f64 (*.f64 x (+.f64 1 x)))))
(/.f64 (-.f64 (fma.f64 x 2 1) (sqrt.f64 (+.f64 x (pow.f64 x 2)))) (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 1 x) 3/2)))
(*.f64 -1 (/.f64 1 (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(/.f64 -1 (neg.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))
(/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
(*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) 2)) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))
(*.f64 (pow.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) -1) (pow.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) -1))
(pow.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) -2)
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) (-.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1)
(/.f64 -1 (neg.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))
(/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
(pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1)
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 3)
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3) 1/3)
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2)
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2))
(fabs.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(log.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(log.f64 (/.f64 (exp.f64 (sqrt.f64 (+.f64 1 x))) (exp.f64 (sqrt.f64 x))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(exp.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1))
(/.f64 -1 (neg.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))
(/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) (neg.f64 (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(fma.f64 (cbrt.f64 (+.f64 1 x)) (pow.f64 (+.f64 1 x) 1/6) (neg.f64 (sqrt.f64 x)))
(fma.f64 (pow.f64 (+.f64 1 x) 1/6) (cbrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 x)))
(fma.f64 (cbrt.f64 (+.f64 1 x)) (pow.f64 (+.f64 1 x) 1/6) (neg.f64 (sqrt.f64 x)))

eval445.0ms (6.7%)

Compiler

Compiled 17336 to 13724 computations (20.8% saved)

prune117.0ms (1.8%)

Pruning

16 alts after pruning (9 fresh and 7 done)

PrunedKeptTotal
New6714675
Fresh055
Picked235
Done044
Total67316689
Accuracy
100.0%
Counts
689 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) 2)
99.2%
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -2)
67.0%
(/.f64 (+.f64 1 x) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))
6.9%
(/.f64 2 x)
99.2%
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 3/2) (sqrt.f64 x)))
95.0%
(/.f64 1 (+.f64 (*.f64 (pow.f64 (+.f64 1 x) 1/6) (cbrt.f64 (+.f64 1 x))) (sqrt.f64 x)))
99.6%
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
97.9%
(/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 x)))
93.9%
(/.f64 1 (+.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/2)) (sqrt.f64 x)))
68.6%
(/.f64 1 (+.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 3/2)) (sqrt.f64 x)))
6.6%
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
68.0%
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (-.f64 (+.f64 (+.f64 1 x) x) (+.f64 x 1/2)))
66.9%
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) x)
34.3%
(*.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (-.f64 (+.f64 (+.f64 1 x) x) x))
98.0%
(*.f64 1/2 (sqrt.f64 (/.f64 1 x)))
6.9%
1
Compiler

Compiled 576 to 432 computations (25% saved)

regimes22.0ms (0.3%)

Counts
31 → 1
Calls
Call 1
Inputs
1
(/.f64 2 x)
(*.f64 1/2 (sqrt.f64 (/.f64 1 x)))
(/.f64 1 (+.f64 (+.f64 1 (*.f64 1/2 x)) (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 x)))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) x)
(/.f64 (+.f64 1 x) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))
(*.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (-.f64 (+.f64 (+.f64 1 x) x) x))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (-.f64 (+.f64 (+.f64 1 x) x) x))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (-.f64 (+.f64 (+.f64 1 x) x) (+.f64 x 1/2)))
(/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1)
(/.f64 1 (+.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/2)) (sqrt.f64 x)))
(/.f64 1 (+.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 3/2)) (sqrt.f64 x)))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 3/2) (sqrt.f64 x)))
(/.f64 1 (+.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/4) 2) (sqrt.f64 x)))
(/.f64 1 (+.f64 (*.f64 (pow.f64 (+.f64 1 x) 1/6) (cbrt.f64 (+.f64 1 x))) (sqrt.f64 x)))
(/.f64 1 (+.f64 (*.f64 (pow.f64 (+.f64 1 x) 1/8) (pow.f64 (+.f64 1 x) 3/8)) (sqrt.f64 x)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (-.f64 (+.f64 (+.f64 1 x) x) (sqrt.f64 (*.f64 x (+.f64 1 x)))))
(/.f64 1 (/.f64 1 (/.f64 (-.f64 (+.f64 (+.f64 1 x) x) (sqrt.f64 (*.f64 x (+.f64 1 x)))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3))
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2))
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -3)
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -2)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 3)
(/.f64 (-.f64 (fma.f64 2 x 1) (hypot.f64 x (sqrt.f64 x))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))
(/.f64 1 (+.f64 (*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 x) 1/4)) 2) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 x) 1/4)) 2)) (sqrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)) 2) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -2))
Outputs
(/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))
Calls

2 calls:

16.0ms
x
4.0ms
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
Results
AccuracySegmentsBranch
99.6%1x
99.6%1(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
Compiler

Compiled 10 to 7 computations (30% saved)

regimes10.0ms (0.2%)

Counts
12 → 1
Calls
Call 1
Inputs
1
(/.f64 2 x)
(*.f64 1/2 (sqrt.f64 (/.f64 1 x)))
(/.f64 1 (+.f64 (+.f64 1 (*.f64 1/2 x)) (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 x)))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) x)
(/.f64 (+.f64 1 x) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))
(*.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (-.f64 (+.f64 (+.f64 1 x) x) x))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (-.f64 (+.f64 (+.f64 1 x) x) x))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (-.f64 (+.f64 (+.f64 1 x) x) (+.f64 x 1/2)))
Outputs
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
Calls

2 calls:

7.0ms
x
2.0ms
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
Results
AccuracySegmentsBranch
99.6%1x
99.6%1(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
Compiler

Compiled 10 to 7 computations (30% saved)

regimes10.0ms (0.2%)

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

2 calls:

5.0ms
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
5.0ms
x
Results
AccuracySegmentsBranch
98.0%1x
98.0%1(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
Compiler

Compiled 10 to 7 computations (30% saved)

regimes3.0ms (0.1%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
6.9%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
6.9%1x
Compiler

Compiled 2 to 1 computations (50% saved)

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Rules
+-commutative
1-exp
*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02197
13097
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 1/2 (sqrt.f64 (/.f64 1 x)))
(/.f64 2 x)
1
Outputs
(/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))
(/.f64 1 (+.f64 (sqrt.f64 x) (hypot.f64 1 (sqrt.f64 x))))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
(*.f64 1/2 (sqrt.f64 (/.f64 1 x)))
(/.f64 2 x)
1
Compiler

Compiled 33 to 26 computations (21.2% saved)

soundness751.0ms (11.3%)

Rules
1822×fma-def
1664×prod-diff
1106×div-sub
1060×unpow-prod-down
1060×unpow-prod-down
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01141
113241
2173041
03166340
17105815
219914834
364324679
01274
115774
2205274
04717513
111517030
237836627
01274
115774
2205274
Stop Event
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 691 to 471 computations (31.8% saved)

end0.0ms (0%)

preprocess67.0ms (1%)

Compiler

Compiled 94 to 70 computations (25.5% saved)

Profiling

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