2isqrt (example 3.6)

Time bar (total: 13.4s)

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 19 to 15 computations (21.1% saved)

sample2.7s (20.3%)

Results
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0.0ms256valid
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1.0ms512valid
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Bogosity

preprocess305.0ms (2.3%)

Algorithm
egg-herbie
Rules
264×fma-def
66×sub-neg
44×unsub-neg
42×associate--r+
40×neg-mul-1
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1531(67.82718841093677)0-(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
00-0-x
00-0-(sqrt.f64 (+.f64 x 1))
00-0-(/.f64 1 (sqrt.f64 x))
00-0-(+.f64 x 1)
00-0-1
00-0-(sqrt.f64 x)
00-0-(/.f64 1 (sqrt.f64 (+.f64 x 1)))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
021176
137168
268164
3116164
4180164
5276164
6354164
7413164
8464164
9499164
10525164
11527164
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (/.f64 1 (sqrt.f64 (neg.f64 x))) (/.f64 1 (sqrt.f64 (+.f64 (neg.f64 x) 1))))
(neg.f64 (-.f64 (/.f64 1 (sqrt.f64 (neg.f64 x))) (/.f64 1 (sqrt.f64 (+.f64 (neg.f64 x) 1)))))
Outputs
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x))))
(+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x))))
(+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(-.f64 (/.f64 1 (sqrt.f64 (neg.f64 x))) (/.f64 1 (sqrt.f64 (+.f64 (neg.f64 x) 1))))
(-.f64 (/.f64 1 (sqrt.f64 (neg.f64 x))) (/.f64 1 (sqrt.f64 (+.f64 1 (neg.f64 x)))))
(+.f64 (/.f64 1 (sqrt.f64 (neg.f64 x))) (/.f64 -1 (sqrt.f64 (-.f64 1 x))))
(-.f64 (/.f64 1 (sqrt.f64 (neg.f64 x))) (/.f64 1 (sqrt.f64 (-.f64 1 x))))
(neg.f64 (-.f64 (/.f64 1 (sqrt.f64 (neg.f64 x))) (/.f64 1 (sqrt.f64 (+.f64 (neg.f64 x) 1)))))
(neg.f64 (-.f64 (/.f64 1 (sqrt.f64 (neg.f64 x))) (/.f64 1 (sqrt.f64 (+.f64 1 (neg.f64 x))))))
(neg.f64 (+.f64 (/.f64 1 (sqrt.f64 (neg.f64 x))) (/.f64 -1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (/.f64 -1 (sqrt.f64 (neg.f64 x))))
Compiler

Compiled 80 to 58 computations (27.5% saved)

eval1.0ms (0%)

Compiler

Compiled 23 to 18 computations (21.7% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
45.9%
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
Compiler

Compiled 12 to 10 computations (16.7% saved)

localize116.0ms (0.9%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
99.6%
(/.f64 1 (sqrt.f64 (+.f64 x 1)))
99.6%
(/.f64 1 (sqrt.f64 x))
45.9%
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
Compiler

Compiled 34 to 24 computations (29.4% saved)

series8.0ms (0.1%)

Counts
3 → 4
Calls

9 calls:

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

rewrite222.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
1552×prod-diff
888×log1p-expm1-u
888×expm1-log1p-u
782×fma-def
286×log1p-udef
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01373
118757
2260557
Stop Event
node limit
Counts
3 → 160
Calls
Call 1
Inputs
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 1 (sqrt.f64 x))
(/.f64 1 (sqrt.f64 (+.f64 x 1)))
Outputs
(+.f64 (pow.f64 x -1/2) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(+.f64 (pow.f64 x -1/2) (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) 1))
(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (fma.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) 1 (pow.f64 (+.f64 1 x) -1/2)))
(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2))) (cbrt.f64 (/.f64 1 (+.f64 1 x))) (pow.f64 (+.f64 1 x) -1/2)))
(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (fma.f64 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2)) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (fma.f64 -1 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x)))) (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) (pow.f64 (+.f64 1 x) -1/2)))
(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (fma.f64 (neg.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/4) -1)) (pow.f64 (pow.f64 (+.f64 1 x) 1/4) -1) (pow.f64 (+.f64 1 x) -1/2)))
(+.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2))
(+.f64 (fma.f64 1 (pow.f64 x -1/2) (neg.f64 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) -1))) (fma.f64 (neg.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x)))) -1 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) -1)))
(+.f64 (fma.f64 1 (pow.f64 x -1/2) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1)) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1))))
(+.f64 (fma.f64 (pow.f64 x -1/2) 1 (neg.f64 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) -1))) (fma.f64 (neg.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x)))) -1 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) -1)))
(+.f64 (fma.f64 (pow.f64 x -1/2) 1 (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1)) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1))))
(+.f64 (fma.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 x))) (neg.f64 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) -1))) (fma.f64 (neg.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x)))) -1 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) -1)))
(+.f64 (fma.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 x))) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1)) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 x -1/2)) (cbrt.f64 (/.f64 1 x)) (neg.f64 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) -1))) (fma.f64 (neg.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x)))) -1 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) -1)))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 x -1/2)) (cbrt.f64 (/.f64 1 x)) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1)) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1))))
(+.f64 (fma.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (pow.f64 x -1/2)) (neg.f64 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) -1))) (fma.f64 (neg.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x)))) -1 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) -1)))
(+.f64 (fma.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (pow.f64 x -1/2)) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1)) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1))))
(+.f64 (fma.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 x) -1/2) (neg.f64 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) -1))) (fma.f64 (neg.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x)))) -1 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) -1)))
(+.f64 (fma.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 x) -1/2) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1)) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) -1) (pow.f64 (cbrt.f64 (sqrt.f64 x)) -1) (neg.f64 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) -1))) (fma.f64 (neg.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x)))) -1 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) -1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) -1) (pow.f64 (cbrt.f64 (sqrt.f64 x)) -1) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1)) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1))))
(+.f64 (fma.f64 (pow.f64 (pow.f64 x 1/4) -1) (pow.f64 (pow.f64 x 1/4) -1) (neg.f64 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) -1))) (fma.f64 (neg.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x)))) -1 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) -1)))
(+.f64 (fma.f64 (pow.f64 (pow.f64 x 1/4) -1) (pow.f64 (pow.f64 x 1/4) -1) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1)) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1))))
(*.f64 1 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(*.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) 1)
(*.f64 (cbrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) 2) (cbrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) (sqrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(*.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (*.f64 x (+.f64 1 x)))))
(*.f64 (-.f64 (pow.f64 (sqrt.f64 x) -3) (pow.f64 (sqrt.f64 (+.f64 1 x)) -3)) (/.f64 1 (fma.f64 (pow.f64 (+.f64 1 x) -1/2) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (/.f64 1 x))))
(*.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(*.f64 (+.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2)) (-.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2)))
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 1 (/.f64 (fma.f64 (pow.f64 (+.f64 1 x) -1/2) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (/.f64 1 x)) (-.f64 (pow.f64 (sqrt.f64 x) -3) (pow.f64 (sqrt.f64 (+.f64 1 x)) -3))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))))
(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (+.f64 1 x))))
(/.f64 (-.f64 (pow.f64 (sqrt.f64 x) -3) (pow.f64 (sqrt.f64 (+.f64 1 x)) -3)) (fma.f64 (pow.f64 (+.f64 1 x) -1/2) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (/.f64 1 x)))
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(/.f64 (-.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) (*.f64 (sqrt.f64 x) -1)) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (-.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) (*.f64 (neg.f64 (sqrt.f64 x)) 1)) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 1 x))))
(/.f64 (-.f64 (*.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x)))) (*.f64 (neg.f64 (sqrt.f64 x)) -1)) (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (neg.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (neg.f64 (sqrt.f64 (*.f64 x (+.f64 1 x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sqrt.f64 x) -3) (pow.f64 (sqrt.f64 (+.f64 1 x)) -3))) (neg.f64 (fma.f64 (pow.f64 (+.f64 1 x) -1/2) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (/.f64 1 x))))
(/.f64 (neg.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))) (neg.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(/.f64 (+.f64 (pow.f64 (sqrt.f64 x) -3) (pow.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) 3)) (+.f64 (/.f64 1 x) (-.f64 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (/.f64 -1 (sqrt.f64 (+.f64 1 x)))) (*.f64 (pow.f64 x -1/2) (/.f64 -1 (sqrt.f64 (+.f64 1 x)))))))
(/.f64 (-.f64 (/.f64 1 x) (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))) (-.f64 (pow.f64 x -1/2) (/.f64 -1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 1 x)))
(pow.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) 1)
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) 3)
(pow.f64 (pow.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) 2)
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) 2))
(log.f64 (exp.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) 3))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(exp.f64 (log.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) 1))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(fma.f64 1 (pow.f64 x -1/2) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(fma.f64 1 (pow.f64 x -1/2) (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) 1))
(fma.f64 1 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (fma.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) 1 (pow.f64 (+.f64 1 x) -1/2)))
(fma.f64 1 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2))) (cbrt.f64 (/.f64 1 (+.f64 1 x))) (pow.f64 (+.f64 1 x) -1/2)))
(fma.f64 1 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (fma.f64 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2)) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(fma.f64 1 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2))
(fma.f64 (pow.f64 x -1/2) 1 (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(fma.f64 (pow.f64 x -1/2) 1 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) 1))
(fma.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) 1 (fma.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) 1 (pow.f64 (+.f64 1 x) -1/2)))
(fma.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) 1 (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2))) (cbrt.f64 (/.f64 1 (+.f64 1 x))) (pow.f64 (+.f64 1 x) -1/2)))
(fma.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) 1 (fma.f64 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2)) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(fma.f64 -1 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 x -1/2))
(fma.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 x))) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(fma.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 x))) (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) 1))
(fma.f64 (cbrt.f64 (pow.f64 x -1/2)) (cbrt.f64 (/.f64 1 x)) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(fma.f64 (cbrt.f64 (pow.f64 x -1/2)) (cbrt.f64 (/.f64 1 x)) (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) 1))
(fma.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (pow.f64 x -1/2)) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(fma.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (pow.f64 x -1/2)) (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) 1))
(fma.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2))) (pow.f64 x -1/2))
(fma.f64 (cbrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) 2) (fma.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) 1 (pow.f64 (+.f64 1 x) -1/2)))
(fma.f64 (cbrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) 2) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2))) (cbrt.f64 (/.f64 1 (+.f64 1 x))) (pow.f64 (+.f64 1 x) -1/2)))
(fma.f64 (cbrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) 2) (fma.f64 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2)) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) 2) (cbrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) (fma.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) 1 (pow.f64 (+.f64 1 x) -1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) 2) (cbrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2))) (cbrt.f64 (/.f64 1 (+.f64 1 x))) (pow.f64 (+.f64 1 x) -1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) 2) (cbrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) (fma.f64 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2)) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(fma.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 x) -1/2) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(fma.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 x) -1/2) (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) 1))
(fma.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2) (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2)) (pow.f64 x -1/2))
(fma.f64 (sqrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) (sqrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) (fma.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) 1 (pow.f64 (+.f64 1 x) -1/2)))
(fma.f64 (sqrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) (sqrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2))) (cbrt.f64 (/.f64 1 (+.f64 1 x))) (pow.f64 (+.f64 1 x) -1/2)))
(fma.f64 (sqrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) (sqrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) (fma.f64 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2)) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(fma.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (*.f64 x (+.f64 1 x)))) (fma.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) 1 (pow.f64 (+.f64 1 x) -1/2)))
(fma.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (*.f64 x (+.f64 1 x)))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2))) (cbrt.f64 (/.f64 1 (+.f64 1 x))) (pow.f64 (+.f64 1 x) -1/2)))
(fma.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (*.f64 x (+.f64 1 x)))) (fma.f64 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2)) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(fma.f64 (-.f64 (pow.f64 (sqrt.f64 x) -3) (pow.f64 (sqrt.f64 (+.f64 1 x)) -3)) (/.f64 1 (fma.f64 (pow.f64 (+.f64 1 x) -1/2) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (/.f64 1 x))) (fma.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) 1 (pow.f64 (+.f64 1 x) -1/2)))
(fma.f64 (-.f64 (pow.f64 (sqrt.f64 x) -3) (pow.f64 (sqrt.f64 (+.f64 1 x)) -3)) (/.f64 1 (fma.f64 (pow.f64 (+.f64 1 x) -1/2) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (/.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2))) (cbrt.f64 (/.f64 1 (+.f64 1 x))) (pow.f64 (+.f64 1 x) -1/2)))
(fma.f64 (-.f64 (pow.f64 (sqrt.f64 x) -3) (pow.f64 (sqrt.f64 (+.f64 1 x)) -3)) (/.f64 1 (fma.f64 (pow.f64 (+.f64 1 x) -1/2) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (/.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2)) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(fma.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) (fma.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) 1 (pow.f64 (+.f64 1 x) -1/2)))
(fma.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2))) (cbrt.f64 (/.f64 1 (+.f64 1 x))) (pow.f64 (+.f64 1 x) -1/2)))
(fma.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) (fma.f64 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2)) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(fma.f64 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2)) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2) (pow.f64 x -1/2))
(fma.f64 (pow.f64 (cbrt.f64 x) -1) (pow.f64 (cbrt.f64 (sqrt.f64 x)) -1) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(fma.f64 (pow.f64 (cbrt.f64 x) -1) (pow.f64 (cbrt.f64 (sqrt.f64 x)) -1) (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) 1))
(fma.f64 (pow.f64 (pow.f64 x 1/4) -1) (pow.f64 (pow.f64 x 1/4) -1) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(fma.f64 (pow.f64 (pow.f64 x 1/4) -1) (pow.f64 (pow.f64 x 1/4) -1) (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) 1))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x)))) (cbrt.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))))) (cbrt.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x)))) (pow.f64 x -1/2))
(fma.f64 (sqrt.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x)))) (pow.f64 x -1/2))
(fma.f64 (+.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2)) (-.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2)) (fma.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) 1 (pow.f64 (+.f64 1 x) -1/2)))
(fma.f64 (+.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2)) (-.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2))) (cbrt.f64 (/.f64 1 (+.f64 1 x))) (pow.f64 (+.f64 1 x) -1/2)))
(fma.f64 (+.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2)) (-.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2)) (fma.f64 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2)) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(fma.f64 (neg.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x)))) (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) (pow.f64 x -1/2))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x -1/2))) 1)
(*.f64 1 (pow.f64 x -1/2))
(*.f64 (pow.f64 x -1/2) 1)
(*.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 x -1/2)) (cbrt.f64 (/.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (pow.f64 x -1/2)))
(*.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 x) -1/2))
(*.f64 (pow.f64 (cbrt.f64 x) -1) (pow.f64 (cbrt.f64 (sqrt.f64 x)) -1))
(*.f64 (pow.f64 (pow.f64 x 1/4) -1) (pow.f64 (pow.f64 x 1/4) -1))
(pow.f64 x -1/2)
(pow.f64 (sqrt.f64 x) -1)
(pow.f64 (pow.f64 x -1/2) 1)
(pow.f64 (cbrt.f64 (pow.f64 x -1/2)) 3)
(pow.f64 (pow.f64 (sqrt.f64 x) -3) 1/3)
(pow.f64 (pow.f64 (sqrt.f64 x) -1/2) 2)
(sqrt.f64 (/.f64 1 x))
(log.f64 (exp.f64 (pow.f64 x -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -1/2))))
(cbrt.f64 (pow.f64 (sqrt.f64 x) -3))
(expm1.f64 (log1p.f64 (pow.f64 x -1/2)))
(exp.f64 (log.f64 (pow.f64 x -1/2)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) -1))
(exp.f64 (*.f64 (log.f64 (pow.f64 x -1/2)) 1))
(log1p.f64 (expm1.f64 (pow.f64 x -1/2)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 1 x) -1/2))) 1)
(*.f64 1 (pow.f64 (+.f64 1 x) -1/2))
(*.f64 (pow.f64 (+.f64 1 x) -1/2) 1)
(*.f64 -1 (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) (cbrt.f64 (/.f64 1 (+.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) -1) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/4) -1) (pow.f64 (pow.f64 (+.f64 1 x) 1/4) -1))
(pow.f64 (+.f64 1 x) -1/2)
(pow.f64 (sqrt.f64 (+.f64 1 x)) -1)
(pow.f64 (pow.f64 (+.f64 1 x) -1/2) 1)
(pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) 3)
(pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -3) 1/3)
(pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2) 2)
(sqrt.f64 (/.f64 1 (+.f64 1 x)))
(log.f64 (exp.f64 (pow.f64 (+.f64 1 x) -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 1 x) -1/2))))
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -3))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 x) -1/2)))
(exp.f64 (neg.f64 (*.f64 1/2 (log1p.f64 x))))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) -1))
(exp.f64 (*.f64 (neg.f64 (*.f64 1/2 (log1p.f64 x))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 1 x) -1/2)))

simplify113.0ms (0.8%)

Algorithm
egg-herbie
Rules
1574×times-frac
952×fma-neg
758×associate-+r+
544×unswap-sqr
496×cancel-sign-sub-inv
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
032710897
17809528
226047139
Stop Event
node limit
Counts
164 → 243
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1/2 x))
(+.f64 1 (+.f64 (*.f64 -1/2 x) (*.f64 3/8 (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -5/16 (pow.f64 x 3)) (*.f64 3/8 (pow.f64 x 2)))))
(+.f64 (pow.f64 x -1/2) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(+.f64 (pow.f64 x -1/2) (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) 1))
(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (fma.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) 1 (pow.f64 (+.f64 1 x) -1/2)))
(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2))) (cbrt.f64 (/.f64 1 (+.f64 1 x))) (pow.f64 (+.f64 1 x) -1/2)))
(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (fma.f64 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2)) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (fma.f64 -1 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x)))) (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) (pow.f64 (+.f64 1 x) -1/2)))
(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (fma.f64 (neg.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/4) -1)) (pow.f64 (pow.f64 (+.f64 1 x) 1/4) -1) (pow.f64 (+.f64 1 x) -1/2)))
(+.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2))
(+.f64 (fma.f64 1 (pow.f64 x -1/2) (neg.f64 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) -1))) (fma.f64 (neg.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x)))) -1 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) -1)))
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(fma.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (*.f64 x (+.f64 1 x)))) (fma.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) 1 (pow.f64 (+.f64 1 x) -1/2)))
(fma.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (*.f64 x (+.f64 1 x)))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2))) (cbrt.f64 (/.f64 1 (+.f64 1 x))) (pow.f64 (+.f64 1 x) -1/2)))
(fma.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (*.f64 x (+.f64 1 x)))) (fma.f64 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2)) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(fma.f64 (-.f64 (pow.f64 (sqrt.f64 x) -3) (pow.f64 (sqrt.f64 (+.f64 1 x)) -3)) (/.f64 1 (fma.f64 (pow.f64 (+.f64 1 x) -1/2) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (/.f64 1 x))) (fma.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) 1 (pow.f64 (+.f64 1 x) -1/2)))
(fma.f64 (-.f64 (pow.f64 (sqrt.f64 x) -3) (pow.f64 (sqrt.f64 (+.f64 1 x)) -3)) (/.f64 1 (fma.f64 (pow.f64 (+.f64 1 x) -1/2) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (/.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2))) (cbrt.f64 (/.f64 1 (+.f64 1 x))) (pow.f64 (+.f64 1 x) -1/2)))
(fma.f64 (-.f64 (pow.f64 (sqrt.f64 x) -3) (pow.f64 (sqrt.f64 (+.f64 1 x)) -3)) (/.f64 1 (fma.f64 (pow.f64 (+.f64 1 x) -1/2) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (/.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2)) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(fma.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) (fma.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) 1 (pow.f64 (+.f64 1 x) -1/2)))
(fma.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2))) (cbrt.f64 (/.f64 1 (+.f64 1 x))) (pow.f64 (+.f64 1 x) -1/2)))
(fma.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) (fma.f64 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2)) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(fma.f64 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2)) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2) (pow.f64 x -1/2))
(fma.f64 (pow.f64 (cbrt.f64 x) -1) (pow.f64 (cbrt.f64 (sqrt.f64 x)) -1) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(fma.f64 (pow.f64 (cbrt.f64 x) -1) (pow.f64 (cbrt.f64 (sqrt.f64 x)) -1) (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) 1))
(fma.f64 (pow.f64 (pow.f64 x 1/4) -1) (pow.f64 (pow.f64 x 1/4) -1) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(fma.f64 (pow.f64 (pow.f64 x 1/4) -1) (pow.f64 (pow.f64 x 1/4) -1) (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) 1))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x)))) (cbrt.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))))) (cbrt.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x)))) (pow.f64 x -1/2))
(fma.f64 (sqrt.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x)))) (pow.f64 x -1/2))
(fma.f64 (+.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2)) (-.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2)) (fma.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) 1 (pow.f64 (+.f64 1 x) -1/2)))
(fma.f64 (+.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2)) (-.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2))) (cbrt.f64 (/.f64 1 (+.f64 1 x))) (pow.f64 (+.f64 1 x) -1/2)))
(fma.f64 (+.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2)) (-.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2)) (fma.f64 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2)) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(fma.f64 (neg.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x)))) (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) (pow.f64 x -1/2))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x -1/2))) 1)
(*.f64 1 (pow.f64 x -1/2))
(*.f64 (pow.f64 x -1/2) 1)
(*.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 x -1/2)) (cbrt.f64 (/.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (pow.f64 x -1/2)))
(*.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 x) -1/2))
(*.f64 (pow.f64 (cbrt.f64 x) -1) (pow.f64 (cbrt.f64 (sqrt.f64 x)) -1))
(*.f64 (pow.f64 (pow.f64 x 1/4) -1) (pow.f64 (pow.f64 x 1/4) -1))
(pow.f64 x -1/2)
(pow.f64 (sqrt.f64 x) -1)
(pow.f64 (pow.f64 x -1/2) 1)
(pow.f64 (cbrt.f64 (pow.f64 x -1/2)) 3)
(pow.f64 (pow.f64 (sqrt.f64 x) -3) 1/3)
(pow.f64 (pow.f64 (sqrt.f64 x) -1/2) 2)
(sqrt.f64 (/.f64 1 x))
(log.f64 (exp.f64 (pow.f64 x -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -1/2))))
(cbrt.f64 (pow.f64 (sqrt.f64 x) -3))
(expm1.f64 (log1p.f64 (pow.f64 x -1/2)))
(exp.f64 (log.f64 (pow.f64 x -1/2)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) -1))
(exp.f64 (*.f64 (log.f64 (pow.f64 x -1/2)) 1))
(log1p.f64 (expm1.f64 (pow.f64 x -1/2)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 1 x) -1/2))) 1)
(*.f64 1 (pow.f64 (+.f64 1 x) -1/2))
(*.f64 (pow.f64 (+.f64 1 x) -1/2) 1)
(*.f64 -1 (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) (cbrt.f64 (/.f64 1 (+.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) -1) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/4) -1) (pow.f64 (pow.f64 (+.f64 1 x) 1/4) -1))
(pow.f64 (+.f64 1 x) -1/2)
(pow.f64 (sqrt.f64 (+.f64 1 x)) -1)
(pow.f64 (pow.f64 (+.f64 1 x) -1/2) 1)
(pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) 3)
(pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -3) 1/3)
(pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2) 2)
(sqrt.f64 (/.f64 1 (+.f64 1 x)))
(log.f64 (exp.f64 (pow.f64 (+.f64 1 x) -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 1 x) -1/2))))
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -3))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 x) -1/2)))
(exp.f64 (neg.f64 (*.f64 1/2 (log1p.f64 x))))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) -1))
(exp.f64 (*.f64 (neg.f64 (*.f64 1/2 (log1p.f64 x))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 1 x) -1/2)))
Outputs
1
(+.f64 1 (*.f64 -1/2 x))
(fma.f64 -1/2 x 1)
(+.f64 1 (+.f64 (*.f64 -1/2 x) (*.f64 3/8 (pow.f64 x 2))))
(+.f64 1 (fma.f64 -1/2 x (*.f64 3/8 (pow.f64 x 2))))
(+.f64 1 (*.f64 x (+.f64 -1/2 (*.f64 x 3/8))))
(+.f64 1 (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -5/16 (pow.f64 x 3)) (*.f64 3/8 (pow.f64 x 2)))))
(+.f64 1 (fma.f64 -1/2 x (fma.f64 -5/16 (pow.f64 x 3) (*.f64 3/8 (pow.f64 x 2)))))
(+.f64 1 (fma.f64 -1/2 x (fma.f64 3/8 (pow.f64 x 2) (*.f64 -5/16 (pow.f64 x 3)))))
(+.f64 (fma.f64 -1/2 x 1) (*.f64 (pow.f64 x 2) (+.f64 3/8 (*.f64 -5/16 x))))
(+.f64 (pow.f64 x -1/2) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(-.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 (+.f64 1 x))))
(+.f64 (pow.f64 x -1/2) (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) 1))
(+.f64 (pow.f64 x -1/2) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(-.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 (+.f64 1 x))))
(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (fma.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) 1 (pow.f64 (+.f64 1 x) -1/2)))
(+.f64 (pow.f64 x -1/2) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(-.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 (+.f64 1 x))))
(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2))) (cbrt.f64 (/.f64 1 (+.f64 1 x))) (pow.f64 (+.f64 1 x) -1/2)))
(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x)))) (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) (pow.f64 (+.f64 1 x) -1/2)))
(-.f64 (pow.f64 x -1/2) (*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) (cbrt.f64 (/.f64 1 (+.f64 1 x)))))
(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (fma.f64 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2)) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(+.f64 (pow.f64 x -1/2) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(-.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 (+.f64 1 x))))
(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (fma.f64 -1 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (*.f64 (pow.f64 (+.f64 1 x) -1/2) 0))
(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x)))) (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) (pow.f64 (+.f64 1 x) -1/2)))
(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2))) (cbrt.f64 (/.f64 1 (+.f64 1 x))) (pow.f64 (+.f64 1 x) -1/2)))
(-.f64 (pow.f64 x -1/2) (*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) (cbrt.f64 (/.f64 1 (+.f64 1 x)))))
(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (fma.f64 (neg.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/4) -1)) (pow.f64 (pow.f64 (+.f64 1 x) 1/4) -1) (pow.f64 (+.f64 1 x) -1/2)))
(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (fma.f64 (neg.f64 (/.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (/.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (pow.f64 (+.f64 1 x) -1/2)))
(+.f64 (neg.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/4) -2)) (+.f64 (pow.f64 (+.f64 1 x) -1/2) (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(+.f64 (neg.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/4) -2)) (pow.f64 x -1/2))
(+.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2))
(+.f64 (pow.f64 x -1/2) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(-.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 (+.f64 1 x))))
(+.f64 (fma.f64 1 (pow.f64 x -1/2) (neg.f64 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) -1))) (fma.f64 (neg.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x)))) -1 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) -1)))
(+.f64 (pow.f64 x -1/2) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(-.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 (+.f64 1 x))))
(+.f64 (fma.f64 1 (pow.f64 x -1/2) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1)) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1))))
(+.f64 (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (sqrt.f64 (+.f64 1 x))))) (/.f64 1 (cbrt.f64 (+.f64 1 x))) (*.f64 (/.f64 1 (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 (cbrt.f64 (+.f64 1 x))))) (+.f64 (pow.f64 x -1/2) (*.f64 (/.f64 1 (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) (neg.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x)))))))
(+.f64 (*.f64 0 (/.f64 (*.f64 1 (/.f64 1 (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 (sqrt.f64 (+.f64 1 x))))) (+.f64 (pow.f64 x -1/2) (*.f64 (/.f64 1 (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) (/.f64 -1 (cbrt.f64 (+.f64 1 x))))))
(+.f64 (pow.f64 x -1/2) (/.f64 (/.f64 -1 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 x)))))
(+.f64 (fma.f64 (pow.f64 x -1/2) 1 (neg.f64 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) -1))) (fma.f64 (neg.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x)))) -1 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) -1)))
(+.f64 (pow.f64 x -1/2) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(-.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 (+.f64 1 x))))
(+.f64 (fma.f64 (pow.f64 x -1/2) 1 (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1)) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1))))
(+.f64 (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (sqrt.f64 (+.f64 1 x))))) (/.f64 1 (cbrt.f64 (+.f64 1 x))) (*.f64 (/.f64 1 (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 (cbrt.f64 (+.f64 1 x))))) (+.f64 (pow.f64 x -1/2) (*.f64 (/.f64 1 (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) (neg.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x)))))))
(+.f64 (*.f64 0 (/.f64 (*.f64 1 (/.f64 1 (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 (sqrt.f64 (+.f64 1 x))))) (+.f64 (pow.f64 x -1/2) (*.f64 (/.f64 1 (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) (/.f64 -1 (cbrt.f64 (+.f64 1 x))))))
(+.f64 (pow.f64 x -1/2) (/.f64 (/.f64 -1 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 x)))))
(+.f64 (fma.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 x))) (neg.f64 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) -1))) (fma.f64 (neg.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x)))) -1 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) -1)))
(+.f64 (+.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 (+.f64 1 x)))) (+.f64 (/.f64 -1 (neg.f64 (sqrt.f64 x))) (/.f64 -1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) 0) (+.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 x))))
(+.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 x)))
(+.f64 (fma.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 x))) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1)) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1))))
(+.f64 (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (sqrt.f64 (+.f64 1 x))))) (/.f64 1 (cbrt.f64 (+.f64 1 x))) (*.f64 (/.f64 1 (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 (cbrt.f64 (+.f64 1 x))))) (+.f64 (/.f64 -1 (neg.f64 (sqrt.f64 x))) (*.f64 (/.f64 1 (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) (neg.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x)))))))
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(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x)))) (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) (pow.f64 (+.f64 1 x) -1/2)) (/.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (+.f64 1 x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(+.f64 (-.f64 (pow.f64 (+.f64 1 x) -1/2) (*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) (cbrt.f64 (/.f64 1 (+.f64 1 x))))) (/.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (+.f64 1 x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(fma.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) (fma.f64 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2)) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(fma.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) (+.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 (+.f64 1 x) -1/2)))
(+.f64 (+.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 (+.f64 1 x) -1/2)) (/.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (+.f64 1 x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(fma.f64 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2)) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2) (pow.f64 x -1/2))
(+.f64 (pow.f64 x -1/2) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(-.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 (+.f64 1 x))))
(fma.f64 (pow.f64 (cbrt.f64 x) -1) (pow.f64 (cbrt.f64 (sqrt.f64 x)) -1) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(+.f64 (+.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 (+.f64 1 x)))) (fma.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 1 (cbrt.f64 (sqrt.f64 x))) (/.f64 -1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) 0) (fma.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 1 (cbrt.f64 (sqrt.f64 x))) (/.f64 -1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (/.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 x) -1) (pow.f64 (cbrt.f64 (sqrt.f64 x)) -1) (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) 1))
(+.f64 (+.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 (+.f64 1 x)))) (fma.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 1 (cbrt.f64 (sqrt.f64 x))) (/.f64 -1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) 0) (fma.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 1 (cbrt.f64 (sqrt.f64 x))) (/.f64 -1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (/.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x))))
(fma.f64 (pow.f64 (pow.f64 x 1/4) -1) (pow.f64 (pow.f64 x 1/4) -1) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(+.f64 (+.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 (+.f64 1 x)))) (+.f64 (pow.f64 (pow.f64 x 1/4) -2) (/.f64 -1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) 0) (+.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 (pow.f64 x 1/4) -2)))
(-.f64 (pow.f64 (pow.f64 x 1/4) -2) (/.f64 1 (sqrt.f64 (+.f64 1 x))))
(fma.f64 (pow.f64 (pow.f64 x 1/4) -1) (pow.f64 (pow.f64 x 1/4) -1) (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) 1))
(+.f64 (+.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 (+.f64 1 x)))) (+.f64 (pow.f64 (pow.f64 x 1/4) -2) (/.f64 -1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) 0) (+.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 (pow.f64 x 1/4) -2)))
(-.f64 (pow.f64 (pow.f64 x 1/4) -2) (/.f64 1 (sqrt.f64 (+.f64 1 x))))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x)))) (cbrt.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))))) (cbrt.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x)))) (pow.f64 x -1/2))
(+.f64 (pow.f64 x -1/2) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(-.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 (+.f64 1 x))))
(fma.f64 (sqrt.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x)))) (pow.f64 x -1/2))
(+.f64 (pow.f64 x -1/2) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(-.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 (+.f64 1 x))))
(fma.f64 (+.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2)) (-.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2)) (fma.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) 1 (pow.f64 (+.f64 1 x) -1/2)))
(fma.f64 (+.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2) (pow.f64 (sqrt.f64 x) -1/2)) (-.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2)) (+.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 (+.f64 1 x) -1/2)))
(+.f64 (+.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 (+.f64 1 x) -1/2)) (+.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 x))))
(fma.f64 (+.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2)) (-.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2))) (cbrt.f64 (/.f64 1 (+.f64 1 x))) (pow.f64 (+.f64 1 x) -1/2)))
(fma.f64 (+.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2) (pow.f64 (sqrt.f64 x) -1/2)) (-.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2))) (cbrt.f64 (/.f64 1 (+.f64 1 x))) (pow.f64 (+.f64 1 x) -1/2)))
(fma.f64 (+.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2) (pow.f64 (sqrt.f64 x) -1/2)) (-.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x)))) (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) (pow.f64 (+.f64 1 x) -1/2)))
(+.f64 (-.f64 (pow.f64 (+.f64 1 x) -1/2) (*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) (cbrt.f64 (/.f64 1 (+.f64 1 x))))) (+.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 x))))
(fma.f64 (+.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2)) (-.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2)) (fma.f64 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2)) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(fma.f64 (+.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2) (pow.f64 (sqrt.f64 x) -1/2)) (-.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2)) (+.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 (+.f64 1 x) -1/2)))
(+.f64 (+.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 (+.f64 1 x) -1/2)) (+.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 x))))
(fma.f64 (neg.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x)))) (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) (pow.f64 x -1/2))
(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2))) (cbrt.f64 (/.f64 1 (+.f64 1 x))) (pow.f64 (+.f64 1 x) -1/2)))
(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x)))) (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) (pow.f64 (+.f64 1 x) -1/2)))
(-.f64 (pow.f64 x -1/2) (*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) (cbrt.f64 (/.f64 1 (+.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x -1/2))) 1)
(pow.f64 x -1/2)
(*.f64 1 (pow.f64 x -1/2))
(pow.f64 x -1/2)
(*.f64 (pow.f64 x -1/2) 1)
(pow.f64 x -1/2)
(*.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 x))))
(/.f64 -1 (neg.f64 (sqrt.f64 x)))
(/.f64 1 (sqrt.f64 x))
(*.f64 (cbrt.f64 (pow.f64 x -1/2)) (cbrt.f64 (/.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (pow.f64 x -1/2)))
(*.f64 (cbrt.f64 (pow.f64 x -1/2)) (cbrt.f64 (/.f64 1 x)))
(*.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 x) -1/2))
(/.f64 -1 (neg.f64 (sqrt.f64 x)))
(/.f64 1 (sqrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) -1) (pow.f64 (cbrt.f64 (sqrt.f64 x)) -1))
(*.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 1 (cbrt.f64 (sqrt.f64 x))))
(/.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (pow.f64 (pow.f64 x 1/4) -1) (pow.f64 (pow.f64 x 1/4) -1))
(pow.f64 (pow.f64 x 1/4) -2)
(pow.f64 x -1/2)
(pow.f64 (sqrt.f64 x) -1)
(/.f64 -1 (neg.f64 (sqrt.f64 x)))
(/.f64 1 (sqrt.f64 x))
(pow.f64 (pow.f64 x -1/2) 1)
(pow.f64 x -1/2)
(pow.f64 (cbrt.f64 (pow.f64 x -1/2)) 3)
(pow.f64 x -1/2)
(pow.f64 (pow.f64 (sqrt.f64 x) -3) 1/3)
(cbrt.f64 (pow.f64 (sqrt.f64 x) -3))
(pow.f64 (pow.f64 (sqrt.f64 x) -1/2) 2)
(/.f64 -1 (neg.f64 (sqrt.f64 x)))
(/.f64 1 (sqrt.f64 x))
(sqrt.f64 (/.f64 1 x))
(log.f64 (exp.f64 (pow.f64 x -1/2)))
(pow.f64 x -1/2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -1/2))))
(pow.f64 x -1/2)
(cbrt.f64 (pow.f64 (sqrt.f64 x) -3))
(expm1.f64 (log1p.f64 (pow.f64 x -1/2)))
(pow.f64 x -1/2)
(exp.f64 (log.f64 (pow.f64 x -1/2)))
(pow.f64 x -1/2)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) -1))
(/.f64 -1 (neg.f64 (sqrt.f64 x)))
(/.f64 1 (sqrt.f64 x))
(exp.f64 (*.f64 (log.f64 (pow.f64 x -1/2)) 1))
(pow.f64 x -1/2)
(log1p.f64 (expm1.f64 (pow.f64 x -1/2)))
(pow.f64 x -1/2)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 1 x) -1/2))) 1)
(pow.f64 (+.f64 1 x) -1/2)
(*.f64 1 (pow.f64 (+.f64 1 x) -1/2))
(pow.f64 (+.f64 1 x) -1/2)
(*.f64 (pow.f64 (+.f64 1 x) -1/2) 1)
(pow.f64 (+.f64 1 x) -1/2)
(*.f64 -1 (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(/.f64 1 (sqrt.f64 (+.f64 1 x)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) (cbrt.f64 (/.f64 1 (+.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) (cbrt.f64 (/.f64 1 (+.f64 1 x))))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2))
(/.f64 1 (sqrt.f64 (+.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) -1) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1))
(*.f64 (/.f64 1 (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 (cbrt.f64 (+.f64 1 x))))
(/.f64 (*.f64 1 (/.f64 1 (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 (sqrt.f64 (+.f64 1 x))))
(/.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/4) -1) (pow.f64 (pow.f64 (+.f64 1 x) 1/4) -1))
(pow.f64 (pow.f64 (+.f64 1 x) 1/4) -2)
(pow.f64 (+.f64 1 x) -1/2)
(pow.f64 (sqrt.f64 (+.f64 1 x)) -1)
(/.f64 1 (sqrt.f64 (+.f64 1 x)))
(pow.f64 (pow.f64 (+.f64 1 x) -1/2) 1)
(pow.f64 (+.f64 1 x) -1/2)
(pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) 3)
(pow.f64 (+.f64 1 x) -1/2)
(pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -3) 1/3)
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -3))
(pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2) 2)
(/.f64 1 (sqrt.f64 (+.f64 1 x)))
(sqrt.f64 (/.f64 1 (+.f64 1 x)))
(log.f64 (exp.f64 (pow.f64 (+.f64 1 x) -1/2)))
(pow.f64 (+.f64 1 x) -1/2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 1 x) -1/2))))
(pow.f64 (+.f64 1 x) -1/2)
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -3))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 x) -1/2)))
(pow.f64 (+.f64 1 x) -1/2)
(exp.f64 (neg.f64 (*.f64 1/2 (log1p.f64 x))))
(exp.f64 (*.f64 -1/2 (log1p.f64 x)))
(pow.f64 (exp.f64 -1/2) (log1p.f64 x))
(pow.f64 (exp.f64 (log1p.f64 x)) -1/2)
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) -1))
(exp.f64 (*.f64 -1/2 (log1p.f64 x)))
(pow.f64 (exp.f64 -1/2) (log1p.f64 x))
(pow.f64 (exp.f64 (log1p.f64 x)) -1/2)
(exp.f64 (*.f64 (neg.f64 (*.f64 1/2 (log1p.f64 x))) 1))
(exp.f64 (*.f64 -1/2 (log1p.f64 x)))
(pow.f64 (exp.f64 -1/2) (log1p.f64 x))
(pow.f64 (exp.f64 (log1p.f64 x)) -1/2)
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 1 x) -1/2)))
(pow.f64 (+.f64 1 x) -1/2)

eval113.0ms (0.8%)

Compiler

Compiled 5689 to 4537 computations (20.2% saved)

prune98.0ms (0.7%)

Pruning

48 alts after pruning (48 fresh and 0 done)

PrunedKeptTotal
New19548243
Fresh000
Picked101
Done000
Total19648244
Accuracy
47.2%
Counts
244 → 48
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.6%
(fma.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2) (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2)) (pow.f64 x -1/2))
6.6%
(fma.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 x) -1/2) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
6.8%
(fma.f64 (*.f64 (cbrt.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x)))) (cbrt.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))))) (cbrt.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x)))) (pow.f64 x -1/2))
7.0%
(fma.f64 (neg.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x)))) (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) (pow.f64 x -1/2))
6.4%
(fma.f64 (cbrt.f64 (pow.f64 x -1/2)) (cbrt.f64 (/.f64 1 x)) (/.f64 (/.f64 -1 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 x)))))
6.1%
(fma.f64 (cbrt.f64 (pow.f64 x -1/2)) (cbrt.f64 (/.f64 1 x)) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
45.9%
(pow.f64 (pow.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) 3) 1/3)
45.9%
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) 3)
24.5%
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))) (+.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
45.9%
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
23.2%
(/.f64 (-.f64 (/.f64 1 x) (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))) (-.f64 (pow.f64 x -1/2) (/.f64 -1 (sqrt.f64 (+.f64 1 x)))))
45.9%
(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (+.f64 1 x))))
45.5%
(/.f64 (+.f64 (pow.f64 (sqrt.f64 x) -3) (pow.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) 3)) (+.f64 (/.f64 1 x) (-.f64 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (/.f64 -1 (sqrt.f64 (+.f64 1 x)))) (*.f64 (pow.f64 x -1/2) (/.f64 -1 (sqrt.f64 (+.f64 1 x)))))))
44.9%
(/.f64 (+.f64 (pow.f64 (sqrt.f64 x) -3) (/.f64 -1 (pow.f64 (sqrt.f64 (+.f64 1 x)) 3))) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (pow.f64 x -1/2) (sqrt.f64 (+.f64 1 x))))))
45.9%
(/.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (+.f64 1 x))) (+.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
45.9%
(/.f64 1 (/.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))))
23.5%
(-.f64 (pow.f64 (pow.f64 (sqrt.f64 x) -1/2) 2) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
25.4%
(-.f64 (pow.f64 (pow.f64 x 1/4) -2) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
10.0%
(-.f64 (pow.f64 (cbrt.f64 (pow.f64 x -1/2)) 3) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
45.9%
(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
35.4%
(-.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
15.4%
(-.f64 (pow.f64 x -1/2) (*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) (cbrt.f64 (/.f64 1 (+.f64 1 x)))))
20.2%
(-.f64 (/.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x))) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
25.5%
(-.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (pow.f64 (+.f64 1 x) 1/4) -2))
23.4%
(-.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2) 2))
35.3%
(-.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (+.f64 1 x) -1/2))
6.2%
(-.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (exp.f64 -1/2) (log1p.f64 x)))
10.4%
(-.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) 3))
3.2%
(-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 1 (*.f64 -1/2 x)))
6.2%
(-.f64 (/.f64 1 (sqrt.f64 x)) (exp.f64 (*.f64 -1/2 (log1p.f64 x))))
7.0%
(-.f64 (/.f64 1 (sqrt.f64 x)) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -3)))
2.6%
(-.f64 (/.f64 1 (sqrt.f64 x)) 1)
14.9%
(-.f64 (*.f64 (cbrt.f64 (pow.f64 x -1/2)) (cbrt.f64 (/.f64 1 x))) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
33.5%
(-.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
6.6%
(-.f64 (exp.f64 (log.f64 (pow.f64 x -1/2))) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
6.3%
(-.f64 (cbrt.f64 (pow.f64 (sqrt.f64 x) -3)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
6.9%
(+.f64 (fma.f64 (pow.f64 (pow.f64 x 1/4) -1) (pow.f64 (pow.f64 x 1/4) -1) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1)) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1))))
6.8%
(+.f64 (fma.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 x) -1/2) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1)) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1))))
10.9%
(+.f64 (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (sqrt.f64 (+.f64 1 x))))) (/.f64 1 (cbrt.f64 (+.f64 1 x))) (*.f64 (/.f64 1 (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 (cbrt.f64 (+.f64 1 x))))) (fma.f64 (cbrt.f64 (pow.f64 x -1/2)) (cbrt.f64 (/.f64 1 x)) (*.f64 (/.f64 1 (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) (neg.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x)))))))
6.8%
(+.f64 (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (sqrt.f64 (+.f64 1 x))))) (/.f64 1 (cbrt.f64 (+.f64 1 x))) (*.f64 (/.f64 1 (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 (cbrt.f64 (+.f64 1 x))))) (+.f64 (pow.f64 (pow.f64 x 1/4) -2) (*.f64 (/.f64 1 (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) (neg.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x)))))))
7.0%
(+.f64 (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (sqrt.f64 (+.f64 1 x))))) (/.f64 1 (cbrt.f64 (+.f64 1 x))) (*.f64 (/.f64 1 (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 (cbrt.f64 (+.f64 1 x))))) (+.f64 (pow.f64 x -1/2) (*.f64 (/.f64 1 (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) (neg.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x)))))))
6.9%
(+.f64 (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (sqrt.f64 (+.f64 1 x))))) (/.f64 1 (cbrt.f64 (+.f64 1 x))) (*.f64 (/.f64 1 (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 (cbrt.f64 (+.f64 1 x))))) (+.f64 (/.f64 -1 (neg.f64 (sqrt.f64 x))) (*.f64 (/.f64 1 (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) (neg.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x)))))))
7.0%
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x)))) (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) (pow.f64 (+.f64 1 x) -1/2)) (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 x (pow.f64 x 2)))))
19.0%
(+.f64 (pow.f64 x -1/2) (/.f64 (/.f64 -1 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 x)))))
6.2%
(+.f64 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) 0) (fma.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 1 (cbrt.f64 (sqrt.f64 x))) (/.f64 -1 (sqrt.f64 (+.f64 1 x)))))
6.6%
(+.f64 (*.f64 0 (/.f64 (*.f64 1 (/.f64 1 (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 (sqrt.f64 (+.f64 1 x))))) (fma.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 1 (cbrt.f64 (sqrt.f64 x))) (*.f64 (/.f64 1 (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) (/.f64 -1 (cbrt.f64 (+.f64 1 x))))))
6.4%
(+.f64 (*.f64 0 (/.f64 (*.f64 1 (/.f64 1 (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 (sqrt.f64 (+.f64 1 x))))) (fma.f64 (cbrt.f64 (pow.f64 x -1/2)) (cbrt.f64 (/.f64 1 x)) (*.f64 (/.f64 1 (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) (/.f64 -1 (cbrt.f64 (+.f64 1 x))))))
45.9%
(exp.f64 (log.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
Compiler

Compiled 2208 to 1848 computations (16.3% saved)

localize1.1s (8.1%)

Localize:

Found 16 expressions with local error:

NewAccuracyProgram
99.6%
(/.f64 -1 (sqrt.f64 (+.f64 1 x)))
99.2%
(*.f64 (cbrt.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x)))) (cbrt.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x)))))
99.0%
(cbrt.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
6.6%
(fma.f64 (*.f64 (cbrt.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x)))) (cbrt.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))))) (cbrt.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x)))) (pow.f64 x -1/2))
99.5%
(/.f64 (/.f64 -1 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 x))))
99.2%
(cbrt.f64 (sqrt.f64 (+.f64 1 x)))
99.1%
(cbrt.f64 (+.f64 1 x))
45.9%
(+.f64 (pow.f64 x -1/2) (/.f64 (/.f64 -1 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 x)))))
99.6%
(/.f64 1 (sqrt.f64 x))
92.3%
(pow.f64 (exp.f64 -1/2) (log1p.f64 x))
45.9%
(-.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (exp.f64 -1/2) (log1p.f64 x)))
99.6%
(/.f64 1 (sqrt.f64 x))
100.0%
(+.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 (+.f64 1 x))))
99.6%
(/.f64 1 (sqrt.f64 (+.f64 1 x)))
87.2%
(/.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (+.f64 1 x))) (+.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
59.5%
(+.f64 (/.f64 1 x) (/.f64 -1 (+.f64 1 x)))
Compiler

Compiled 236 to 179 computations (24.2% saved)

series84.0ms (0.6%)

Counts
14 → 94
Calls

42 calls:

TimeVariablePointExpression
49.0ms
x
@0
(+.f64 (pow.f64 x -1/2) (/.f64 (/.f64 -1 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 x)))))
4.0ms
x
@inf
(/.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (+.f64 1 x))) (+.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
4.0ms
x
@-inf
(/.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (+.f64 1 x))) (+.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
2.0ms
x
@inf
(fma.f64 (*.f64 (cbrt.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x)))) (cbrt.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))))) (cbrt.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x)))) (pow.f64 x -1/2))
2.0ms
x
@-inf
(-.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (exp.f64 -1/2) (log1p.f64 x)))

rewrite160.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
354×associate-*r*
278×log1p-expm1-u
278×expm1-log1p-u
265×add-cube-cbrt
262×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034516
1608324
Stop Event
node limit
Counts
14 → 619
Calls
Call 1
Inputs
(+.f64 (/.f64 1 x) (/.f64 -1 (+.f64 1 x)))
(/.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (+.f64 1 x))) (+.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 1 (sqrt.f64 (+.f64 1 x)))
(+.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 (+.f64 1 x))))
(-.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (exp.f64 -1/2) (log1p.f64 x)))
(pow.f64 (exp.f64 -1/2) (log1p.f64 x))
(+.f64 (pow.f64 x -1/2) (/.f64 (/.f64 -1 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 x)))))
(cbrt.f64 (+.f64 1 x))
(cbrt.f64 (sqrt.f64 (+.f64 1 x)))
(/.f64 (/.f64 -1 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 x))))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x)))) (cbrt.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))))) (cbrt.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x)))) (pow.f64 x -1/2))
(cbrt.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x)))) (cbrt.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 -1 (sqrt.f64 (+.f64 1 x)))
Outputs
(-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))))) 1)
(-.f64 (/.f64 (pow.f64 x -2) (+.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))) (/.f64 (/.f64 1 (pow.f64 (+.f64 1 x) 2)) (+.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))))
(*.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))) 2) (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))))
(*.f64 (+.f64 (pow.f64 x -2) (/.f64 1 (pow.f64 (+.f64 1 x) 2))) (*.f64 (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))))
(*.f64 (+.f64 (pow.f64 x -2) (/.f64 1 (pow.f64 (+.f64 1 x) 2))) (/.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))))
(*.f64 (+.f64 1 (+.f64 x (*.f64 x -1))) (/.f64 1 (+.f64 x (pow.f64 x 2))))
(*.f64 (+.f64 (pow.f64 x -3) (/.f64 -1 (pow.f64 (+.f64 1 x) 3))) (/.f64 1 (+.f64 (pow.f64 x -2) (-.f64 (/.f64 1 (pow.f64 (+.f64 1 x) 2)) (/.f64 -1 (+.f64 x (pow.f64 x 2)))))))
(*.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(*.f64 (*.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (sqrt.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))) (sqrt.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(*.f64 (*.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) 1) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(*.f64 (*.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (+.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))) (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(*.f64 (*.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))))) (cbrt.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(/.f64 1 (*.f64 (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))))
(/.f64 1 (/.f64 (+.f64 x (pow.f64 x 2)) (+.f64 1 (+.f64 x (*.f64 x -1)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x -2) (-.f64 (/.f64 1 (pow.f64 (+.f64 1 x) 2)) (/.f64 -1 (+.f64 x (pow.f64 x 2))))) (+.f64 (pow.f64 x -3) (/.f64 -1 (pow.f64 (+.f64 1 x) 3)))))
(/.f64 1 (/.f64 (+.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (+.f64 (pow.f64 x -2) (/.f64 1 (pow.f64 (+.f64 1 x) 2)))))
(/.f64 (+.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (*.f64 (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(/.f64 (+.f64 (pow.f64 x -2) (/.f64 1 (pow.f64 (+.f64 1 x) 2))) (+.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))))
(/.f64 (+.f64 1 (+.f64 x (*.f64 x -1))) (+.f64 x (pow.f64 x 2)))
(/.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (neg.f64 (/.f64 1 x))) (*.f64 (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) (+.f64 (pow.f64 (+.f64 1 x) -1/2) (neg.f64 (pow.f64 x -1/2)))))
(/.f64 (+.f64 (pow.f64 x -3) (/.f64 -1 (pow.f64 (+.f64 1 x) 3))) (+.f64 (pow.f64 x -2) (-.f64 (/.f64 1 (pow.f64 (+.f64 1 x) 2)) (/.f64 -1 (+.f64 x (pow.f64 x 2))))))
(/.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (neg.f64 (/.f64 1 x))) (+.f64 (/.f64 1 (+.f64 1 x)) (neg.f64 (/.f64 1 x)))) (*.f64 (+.f64 (pow.f64 (+.f64 1 x) -1/2) (neg.f64 (pow.f64 x -1/2))) (+.f64 (pow.f64 (+.f64 1 x) -1/2) (neg.f64 (pow.f64 x -1/2)))))
(/.f64 (+.f64 (+.f64 -1 (neg.f64 x)) x) (*.f64 x (+.f64 -1 (neg.f64 x))))
(/.f64 (+.f64 (*.f64 (+.f64 1 x) -1) x) (*.f64 x (*.f64 (+.f64 1 x) -1)))
(/.f64 (+.f64 (*.f64 -1 (+.f64 -1 (neg.f64 x))) (*.f64 (neg.f64 x) 1)) (*.f64 (neg.f64 x) (+.f64 -1 (neg.f64 x))))
(/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1 x) -1)) (*.f64 (neg.f64 x) 1)) (*.f64 (neg.f64 x) (*.f64 (+.f64 1 x) -1)))
(/.f64 (+.f64 (+.f64 -1 (neg.f64 x)) (*.f64 (neg.f64 x) -1)) (*.f64 (neg.f64 x) (+.f64 1 x)))
(/.f64 (+.f64 x (*.f64 (+.f64 -1 (neg.f64 x)) 1)) (*.f64 (+.f64 -1 (neg.f64 x)) x))
(/.f64 (+.f64 (neg.f64 x) (*.f64 (+.f64 -1 (neg.f64 x)) -1)) (*.f64 (+.f64 -1 (neg.f64 x)) (neg.f64 x)))
(/.f64 (+.f64 x (*.f64 (*.f64 (+.f64 1 x) -1) 1)) (*.f64 (*.f64 (+.f64 1 x) -1) x))
(/.f64 (+.f64 (neg.f64 x) (*.f64 (*.f64 (+.f64 1 x) -1) -1)) (*.f64 (*.f64 (+.f64 1 x) -1) (neg.f64 x)))
(/.f64 (+.f64 (neg.f64 x) (*.f64 (+.f64 1 x) 1)) (*.f64 (+.f64 1 x) x))
(/.f64 (+.f64 (*.f64 -1 (neg.f64 x)) (*.f64 (+.f64 1 x) -1)) (*.f64 (+.f64 1 x) (neg.f64 x)))
(/.f64 (-.f64 (+.f64 -1 (neg.f64 x)) x) (*.f64 x (+.f64 -1 (neg.f64 x))))
(/.f64 (-.f64 (*.f64 (+.f64 1 x) -1) x) (*.f64 x (*.f64 (+.f64 1 x) -1)))
(/.f64 (-.f64 (+.f64 1 x) (*.f64 x -1)) (+.f64 x (pow.f64 x 2)))
(/.f64 (-.f64 (*.f64 -1 (+.f64 -1 (neg.f64 x))) (*.f64 (neg.f64 x) 1)) (*.f64 (neg.f64 x) (+.f64 -1 (neg.f64 x))))
(/.f64 (-.f64 (*.f64 -1 (*.f64 (+.f64 1 x) -1)) (*.f64 (neg.f64 x) 1)) (*.f64 (neg.f64 x) (*.f64 (+.f64 1 x) -1)))
(/.f64 (-.f64 (+.f64 -1 (neg.f64 x)) (*.f64 (neg.f64 x) -1)) (*.f64 (neg.f64 x) (+.f64 1 x)))
(/.f64 (*.f64 (+.f64 (pow.f64 x -3/2) (pow.f64 (hypot.f64 1 (sqrt.f64 x)) -3)) (+.f64 (pow.f64 x -3/2) (pow.f64 (hypot.f64 1 (sqrt.f64 x)) -3))) (*.f64 (+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (pow.f64 x -1/2) (hypot.f64 1 (sqrt.f64 x))))) (+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (pow.f64 x -1/2) (hypot.f64 1 (sqrt.f64 x)))))))
(/.f64 (*.f64 (+.f64 (pow.f64 x -3/2) (pow.f64 (hypot.f64 1 (sqrt.f64 x)) -3)) (+.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))) (+.f64 (pow.f64 x -3/2) (pow.f64 (hypot.f64 1 (sqrt.f64 x)) -3)))
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(*.f64 (pow.f64 (pow.f64 (+.f64 1 x) -1/2) 1/6) (pow.f64 (pow.f64 (+.f64 1 x) -1/2) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)))
(*.f64 (pow.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 x)) -1/2) 1/3) (pow.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 x)) -1/2) 1/3))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x)))) 2)) (sqrt.f64 (cbrt.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))))))
(/.f64 1 (pow.f64 (+.f64 1 x) 1/6))
(/.f64 1 (cbrt.f64 (neg.f64 (hypot.f64 1 (sqrt.f64 x)))))
(/.f64 1 (/.f64 (pow.f64 (+.f64 1 x) 1/6) (cbrt.f64 -1)))
(/.f64 1 (/.f64 (pow.f64 (+.f64 1 x) 1/6) 1))
(/.f64 -1 (neg.f64 (pow.f64 (+.f64 1 x) 1/6)))
(/.f64 (cbrt.f64 -1) (pow.f64 (+.f64 1 x) 1/6))
(/.f64 (cbrt.f64 -1) (cbrt.f64 (neg.f64 (hypot.f64 1 (sqrt.f64 x)))))
(/.f64 (cbrt.f64 (/.f64 -1 (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 (pow.f64 (+.f64 1 x) 1/6)))
(/.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 (neg.f64 (pow.f64 (+.f64 1 x) 1/6))))
(/.f64 (neg.f64 (cbrt.f64 -1)) (neg.f64 (pow.f64 (+.f64 1 x) 1/6)))
(pow.f64 (hypot.f64 1 (sqrt.f64 x)) -1/3)
(pow.f64 (pow.f64 (+.f64 1 x) 1/6) -1)
(pow.f64 (pow.f64 (+.f64 1 x) -1/2) 1/3)
(pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) 1)
(pow.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) 1/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2))) 3)
(pow.f64 (pow.f64 (pow.f64 (+.f64 1 x) -1/2) 1/6) 2)
(sqrt.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))))
(fabs.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)))
(log.f64 (exp.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2))))
(exp.f64 (*.f64 1/3 (neg.f64 (*.f64 (log1p.f64 x) 1/2))))
(exp.f64 (*.f64 (neg.f64 (*.f64 (log1p.f64 x) 1/2)) 1/3))
(exp.f64 (*.f64 (*.f64 1/3 (neg.f64 (*.f64 (log1p.f64 x) 1/2))) 1))
(exp.f64 (neg.f64 (*.f64 1/3 (*.f64 (log1p.f64 x) 1/2))))
(log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))))) 1)
(/.f64 1 (cbrt.f64 (+.f64 -1 (neg.f64 x))))
(/.f64 1 (cbrt.f64 (*.f64 (+.f64 1 x) -1)))
(/.f64 (cbrt.f64 -1) (cbrt.f64 (+.f64 1 x)))
(/.f64 (*.f64 (cbrt.f64 -1) (cbrt.f64 -1)) (cbrt.f64 (+.f64 1 x)))
(pow.f64 (pow.f64 (+.f64 1 x) -1/2) 2/3)
(pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) 2)
(pow.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) 1)
(pow.f64 (/.f64 1 (+.f64 1 x)) 1/3)
(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x)))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) 4))
(log.f64 (exp.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))))))
(cbrt.f64 (/.f64 1 (+.f64 1 x)))
(expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x)))))
(exp.f64 (log.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x)))))
(exp.f64 (*.f64 (*.f64 1/3 (neg.f64 (*.f64 (log1p.f64 x) 1/2))) 2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x)))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 1 x) -1/2))) 1)
(*.f64 1 (pow.f64 (+.f64 1 x) -1/2))
(*.f64 -1 (pow.f64 (+.f64 1 x) -1/2))
(*.f64 -1 (/.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) (pow.f64 (+.f64 1 x) 1/6)))
(*.f64 (/.f64 -1 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)))
(*.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 x)) -1/2) (pow.f64 (hypot.f64 1 (sqrt.f64 x)) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) (/.f64 1 (neg.f64 (pow.f64 (+.f64 1 x) 1/6))))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/4) -1) (pow.f64 (pow.f64 (+.f64 1 x) 1/4) -1))
(*.f64 (sqrt.f64 -1) (pow.f64 (+.f64 1 x) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (+.f64 1 x)))) (/.f64 (/.f64 -1 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 1 x) 1/6))))
(*.f64 (/.f64 1 (pow.f64 (hypot.f64 1 (sqrt.f64 x)) 1/6)) (/.f64 (/.f64 -1 (cbrt.f64 (+.f64 1 x))) (pow.f64 (hypot.f64 1 (sqrt.f64 x)) 1/6)))
(*.f64 (/.f64 -1 (cbrt.f64 (cbrt.f64 (+.f64 1 x)))) (/.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 1 x) 1/6))))
(*.f64 (/.f64 -1 (pow.f64 (hypot.f64 1 (sqrt.f64 x)) 1/6)) (/.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) (pow.f64 (hypot.f64 1 (sqrt.f64 x)) 1/6)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) 1) (/.f64 (cbrt.f64 (/.f64 -1 (cbrt.f64 (+.f64 1 x)))) (pow.f64 (+.f64 1 x) 1/6)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (cbrt.f64 (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (pow.f64 (hypot.f64 1 (sqrt.f64 x)) 1/6)) (/.f64 (cbrt.f64 (/.f64 -1 (cbrt.f64 (+.f64 1 x)))) (pow.f64 (hypot.f64 1 (sqrt.f64 x)) 1/6)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 -1 (cbrt.f64 (+.f64 1 x)))) 1) (/.f64 (sqrt.f64 (/.f64 -1 (cbrt.f64 (+.f64 1 x)))) (pow.f64 (+.f64 1 x) 1/6)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 -1 (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 (cbrt.f64 (+.f64 1 x)))) (/.f64 (sqrt.f64 (/.f64 -1 (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 (pow.f64 (+.f64 1 x) 1/6))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) 1) (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)))
(*.f64 (*.f64 -1 (cbrt.f64 (/.f64 1 (+.f64 1 x)))) (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)))
(*.f64 (*.f64 -1 (pow.f64 (hypot.f64 1 (sqrt.f64 x)) -1/2)) (pow.f64 (hypot.f64 1 (sqrt.f64 x)) -1/2))
(*.f64 (*.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) (cbrt.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))))) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) (pow.f64 (pow.f64 (+.f64 1 x) -1/2) 1/6)) (pow.f64 (pow.f64 (+.f64 1 x) -1/2) 1/6))
(pow.f64 (+.f64 1 x) -1/2)
(pow.f64 (hypot.f64 1 (sqrt.f64 x)) -1)
(pow.f64 (pow.f64 (+.f64 1 x) -1/2) 1)
(pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) 3)
(pow.f64 (/.f64 1 (+.f64 1 x)) 1/2)
(pow.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 x)) -3) 1/3)
(pow.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 x)) -1/2) 2)
(pow.f64 (neg.f64 (hypot.f64 1 (sqrt.f64 x))) -1)
(neg.f64 (pow.f64 (+.f64 1 x) -1/2))
(neg.f64 (/.f64 (/.f64 -1 (cbrt.f64 (+.f64 1 x))) (neg.f64 (pow.f64 (+.f64 1 x) 1/6))))
(sqrt.f64 (/.f64 1 (+.f64 1 x)))
(fabs.f64 (pow.f64 (+.f64 1 x) -1/2))
(log.f64 (exp.f64 (pow.f64 (+.f64 1 x) -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 1 x) -1/2))))
(cbrt.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 x)) -3))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 x) -1/2)))
(exp.f64 (neg.f64 (*.f64 (log1p.f64 x) 1/2)))
(exp.f64 (*.f64 (neg.f64 (*.f64 (log1p.f64 x) 1/2)) 1))
(exp.f64 (*.f64 (*.f64 (log1p.f64 x) 1/2) -1))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 1 x) -1/2)))

simplify269.0ms (2%)

Algorithm
egg-herbie
Rules
1132×fma-def
1090×times-frac
518×distribute-lft-in
502×distribute-rgt-in
394×associate-+l+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0103736421
1267934127
Stop Event
node limit
Counts
713 → 681
Calls
Call 1
Inputs
(/.f64 1 x)
(-.f64 (/.f64 1 x) 1)
(-.f64 (+.f64 x (/.f64 1 x)) 1)
(-.f64 (+.f64 x (+.f64 (*.f64 -1 (pow.f64 x 2)) (/.f64 1 x))) 1)
(/.f64 1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5))))
(/.f64 1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5))))
(/.f64 1 (*.f64 x (+.f64 1 (pow.f64 x -1/2))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (/.f64 1 (*.f64 x (+.f64 1 (pow.f64 x -1/2))))) (/.f64 1 (+.f64 1 (pow.f64 x -1/2))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (+.f64 (*.f64 x (-.f64 (/.f64 1 (+.f64 1 (pow.f64 x -1/2))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (/.f64 1 (+.f64 1 (pow.f64 x -1/2)))) (+.f64 1 (pow.f64 x -1/2)))) (*.f64 3/8 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))))) (/.f64 1 (*.f64 x (+.f64 1 (pow.f64 x -1/2)))))) (/.f64 1 (+.f64 1 (pow.f64 x -1/2))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (+.f64 (*.f64 x (-.f64 (/.f64 1 (+.f64 1 (pow.f64 x -1/2))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (/.f64 1 (+.f64 1 (pow.f64 x -1/2)))) (+.f64 1 (pow.f64 x -1/2)))) (*.f64 3/8 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))))) (+.f64 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 5/16 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (pow.f64 x -1/2))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (/.f64 1 (+.f64 1 (pow.f64 x -1/2)))) (+.f64 1 (pow.f64 x -1/2)))) (*.f64 3/8 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))))) (+.f64 1 (pow.f64 x -1/2)))) (+.f64 (*.f64 3/8 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (/.f64 1 (+.f64 1 (pow.f64 x -1/2)))) (+.f64 1 (pow.f64 x -1/2)))) (/.f64 1 (+.f64 1 (pow.f64 x -1/2))))))) (/.f64 1 (*.f64 x (+.f64 1 (pow.f64 x -1/2))))))) (/.f64 1 (+.f64 1 (pow.f64 x -1/2))))
(sqrt.f64 (/.f64 1 (pow.f64 x 3)))
(/.f64 1 (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))))))
1
(+.f64 1 (*.f64 -1/2 x))
(+.f64 1 (+.f64 (*.f64 -1/2 x) (*.f64 3/8 (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -5/16 (pow.f64 x 3)) (*.f64 3/8 (pow.f64 x 2)))))
(+.f64 1 (pow.f64 x -1/2))
(+.f64 1 (+.f64 (*.f64 -1/2 x) (pow.f64 x -1/2)))
(+.f64 1 (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 3/8 (pow.f64 x 2)) (pow.f64 x -1/2))))
(+.f64 1 (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -5/16 (pow.f64 x 3)) (+.f64 (*.f64 3/8 (pow.f64 x 2)) (pow.f64 x -1/2)))))
(sqrt.f64 (/.f64 1 x))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))))
(*.f64 -1 (sqrt.f64 (/.f64 1 x)))
(*.f64 -1 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))))
1
(+.f64 1 (*.f64 -1/2 x))
(+.f64 1 (+.f64 (*.f64 -1/2 x) (*.f64 3/8 (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -5/16 (pow.f64 x 3)) (*.f64 3/8 (pow.f64 x 2)))))
(sqrt.f64 (/.f64 1 x))
(+.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (sqrt.f64 (/.f64 1 x)) (+.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))))))
(+.f64 (sqrt.f64 (/.f64 1 x)) (+.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 -5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))))
(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 -1/2 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) x)) (*.f64 3/8 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 2)))))
(+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (+.f64 (*.f64 -1/2 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) x)) (+.f64 (*.f64 -5/16 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 3))) (*.f64 3/8 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 2))))))
(-.f64 (pow.f64 x -1/2) 1)
(-.f64 (+.f64 (*.f64 1/2 x) (pow.f64 x -1/2)) 1)
(-.f64 (+.f64 (*.f64 -3/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (pow.f64 x -1/2))) 1)
(-.f64 (+.f64 (*.f64 -3/8 (pow.f64 x 2)) (+.f64 (*.f64 5/16 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (pow.f64 x -1/2)))) 1)
(sqrt.f64 (/.f64 1 x))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 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 1/6 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))))
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(*.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (+.f64 1 x)))) (/.f64 (/.f64 -1 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 1 x) 1/6))))
(*.f64 (/.f64 1 (pow.f64 (hypot.f64 1 (sqrt.f64 x)) 1/6)) (/.f64 (/.f64 -1 (cbrt.f64 (+.f64 1 x))) (pow.f64 (hypot.f64 1 (sqrt.f64 x)) 1/6)))
(*.f64 (/.f64 -1 (cbrt.f64 (cbrt.f64 (+.f64 1 x)))) (/.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 1 x) 1/6))))
(*.f64 (/.f64 -1 (pow.f64 (hypot.f64 1 (sqrt.f64 x)) 1/6)) (/.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) (pow.f64 (hypot.f64 1 (sqrt.f64 x)) 1/6)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) 1) (/.f64 (cbrt.f64 (/.f64 -1 (cbrt.f64 (+.f64 1 x)))) (pow.f64 (+.f64 1 x) 1/6)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (cbrt.f64 (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (pow.f64 (hypot.f64 1 (sqrt.f64 x)) 1/6)) (/.f64 (cbrt.f64 (/.f64 -1 (cbrt.f64 (+.f64 1 x)))) (pow.f64 (hypot.f64 1 (sqrt.f64 x)) 1/6)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 -1 (cbrt.f64 (+.f64 1 x)))) 1) (/.f64 (sqrt.f64 (/.f64 -1 (cbrt.f64 (+.f64 1 x)))) (pow.f64 (+.f64 1 x) 1/6)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 -1 (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 (cbrt.f64 (+.f64 1 x)))) (/.f64 (sqrt.f64 (/.f64 -1 (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 (pow.f64 (+.f64 1 x) 1/6))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) 1) (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)))
(*.f64 (*.f64 -1 (cbrt.f64 (/.f64 1 (+.f64 1 x)))) (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)))
(*.f64 (*.f64 -1 (pow.f64 (hypot.f64 1 (sqrt.f64 x)) -1/2)) (pow.f64 (hypot.f64 1 (sqrt.f64 x)) -1/2))
(*.f64 (*.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) (cbrt.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))))) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) (pow.f64 (pow.f64 (+.f64 1 x) -1/2) 1/6)) (pow.f64 (pow.f64 (+.f64 1 x) -1/2) 1/6))
(pow.f64 (+.f64 1 x) -1/2)
(pow.f64 (hypot.f64 1 (sqrt.f64 x)) -1)
(pow.f64 (pow.f64 (+.f64 1 x) -1/2) 1)
(pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) 3)
(pow.f64 (/.f64 1 (+.f64 1 x)) 1/2)
(pow.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 x)) -3) 1/3)
(pow.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 x)) -1/2) 2)
(pow.f64 (neg.f64 (hypot.f64 1 (sqrt.f64 x))) -1)
(neg.f64 (pow.f64 (+.f64 1 x) -1/2))
(neg.f64 (/.f64 (/.f64 -1 (cbrt.f64 (+.f64 1 x))) (neg.f64 (pow.f64 (+.f64 1 x) 1/6))))
(sqrt.f64 (/.f64 1 (+.f64 1 x)))
(fabs.f64 (pow.f64 (+.f64 1 x) -1/2))
(log.f64 (exp.f64 (pow.f64 (+.f64 1 x) -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 1 x) -1/2))))
(cbrt.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 x)) -3))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 x) -1/2)))
(exp.f64 (neg.f64 (*.f64 (log1p.f64 x) 1/2)))
(exp.f64 (*.f64 (neg.f64 (*.f64 (log1p.f64 x) 1/2)) 1))
(exp.f64 (*.f64 (*.f64 (log1p.f64 x) 1/2) -1))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 1 x) -1/2)))
Outputs
(/.f64 1 x)
(-.f64 (/.f64 1 x) 1)
(+.f64 (/.f64 1 x) -1)
(-.f64 (+.f64 x (/.f64 1 x)) 1)
(+.f64 x (+.f64 (/.f64 1 x) -1))
(-.f64 (+.f64 x (+.f64 (*.f64 -1 (pow.f64 x 2)) (/.f64 1 x))) 1)
(+.f64 (+.f64 x (fma.f64 -1 (pow.f64 x 2) (/.f64 1 x))) -1)
(+.f64 (-.f64 (/.f64 1 x) (pow.f64 x 2)) (+.f64 x -1))
(/.f64 1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 -1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 -1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5))))
(+.f64 (/.f64 1 (pow.f64 x 2)) (-.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5)))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5)))))
(/.f64 1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 -1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 -1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5))))
(+.f64 (/.f64 1 (pow.f64 x 2)) (-.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5)))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5)))))
(/.f64 1 (*.f64 x (+.f64 1 (pow.f64 x -1/2))))
(/.f64 1 (+.f64 x (pow.f64 x 1/2)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (/.f64 1 (*.f64 x (+.f64 1 (pow.f64 x -1/2))))) (/.f64 1 (+.f64 1 (pow.f64 x -1/2))))
(+.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (-.f64 (/.f64 1 (*.f64 x (+.f64 1 (pow.f64 x -1/2)))) (/.f64 1 (+.f64 1 (pow.f64 x -1/2)))))
(+.f64 (/.f64 1 (+.f64 x (pow.f64 x 1/2))) (+.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (/.f64 -1 (+.f64 1 (pow.f64 x -1/2)))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (+.f64 (*.f64 x (-.f64 (/.f64 1 (+.f64 1 (pow.f64 x -1/2))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (/.f64 1 (+.f64 1 (pow.f64 x -1/2)))) (+.f64 1 (pow.f64 x -1/2)))) (*.f64 3/8 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))))) (/.f64 1 (*.f64 x (+.f64 1 (pow.f64 x -1/2)))))) (/.f64 1 (+.f64 1 (pow.f64 x -1/2))))
(-.f64 (+.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (fma.f64 x (-.f64 (/.f64 1 (+.f64 1 (pow.f64 x -1/2))) (fma.f64 -1/2 (/.f64 (-.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (/.f64 1 (+.f64 1 (pow.f64 x -1/2)))) (+.f64 1 (pow.f64 x -1/2))) (/.f64 3/8 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))) (/.f64 1 (*.f64 x (+.f64 1 (pow.f64 x -1/2)))))) (/.f64 1 (+.f64 1 (pow.f64 x -1/2))))
(+.f64 (fma.f64 x (-.f64 (/.f64 1 (+.f64 1 (pow.f64 x -1/2))) (fma.f64 -1/2 (/.f64 (+.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (/.f64 -1 (+.f64 1 (pow.f64 x -1/2)))) (+.f64 1 (pow.f64 x -1/2))) (/.f64 3/8 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))) (/.f64 1 (+.f64 x (pow.f64 x 1/2)))) (+.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (/.f64 -1 (+.f64 1 (pow.f64 x -1/2)))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (+.f64 (*.f64 x (-.f64 (/.f64 1 (+.f64 1 (pow.f64 x -1/2))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (/.f64 1 (+.f64 1 (pow.f64 x -1/2)))) (+.f64 1 (pow.f64 x -1/2)))) (*.f64 3/8 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))))) (+.f64 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 5/16 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (pow.f64 x -1/2))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (/.f64 1 (+.f64 1 (pow.f64 x -1/2)))) (+.f64 1 (pow.f64 x -1/2)))) (*.f64 3/8 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))))) (+.f64 1 (pow.f64 x -1/2)))) (+.f64 (*.f64 3/8 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (/.f64 1 (+.f64 1 (pow.f64 x -1/2)))) (+.f64 1 (pow.f64 x -1/2)))) (/.f64 1 (+.f64 1 (pow.f64 x -1/2))))))) (/.f64 1 (*.f64 x (+.f64 1 (pow.f64 x -1/2))))))) (/.f64 1 (+.f64 1 (pow.f64 x -1/2))))
(+.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (-.f64 (fma.f64 x (-.f64 (/.f64 1 (+.f64 1 (pow.f64 x -1/2))) (fma.f64 -1/2 (/.f64 (-.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (/.f64 1 (+.f64 1 (pow.f64 x -1/2)))) (+.f64 1 (pow.f64 x -1/2))) (/.f64 3/8 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))) (fma.f64 (pow.f64 x 2) (-.f64 (/.f64 5/16 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (fma.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (pow.f64 x -1/2))) (fma.f64 -1/2 (/.f64 (-.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (/.f64 1 (+.f64 1 (pow.f64 x -1/2)))) (+.f64 1 (pow.f64 x -1/2))) (/.f64 3/8 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))) (+.f64 1 (pow.f64 x -1/2))) (fma.f64 3/8 (/.f64 (-.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (/.f64 1 (+.f64 1 (pow.f64 x -1/2)))) (+.f64 1 (pow.f64 x -1/2))) (/.f64 1 (+.f64 1 (pow.f64 x -1/2)))))) (/.f64 1 (*.f64 x (+.f64 1 (pow.f64 x -1/2)))))) (/.f64 1 (+.f64 1 (pow.f64 x -1/2)))))
(+.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (+.f64 (fma.f64 x (-.f64 (/.f64 1 (+.f64 1 (pow.f64 x -1/2))) (fma.f64 -1/2 (/.f64 (+.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (/.f64 -1 (+.f64 1 (pow.f64 x -1/2)))) (+.f64 1 (pow.f64 x -1/2))) (/.f64 3/8 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))) (fma.f64 (pow.f64 x 2) (-.f64 (/.f64 5/16 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (fma.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (pow.f64 x -1/2))) (fma.f64 -1/2 (/.f64 (+.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (/.f64 -1 (+.f64 1 (pow.f64 x -1/2)))) (+.f64 1 (pow.f64 x -1/2))) (/.f64 3/8 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))) (+.f64 1 (pow.f64 x -1/2))) (fma.f64 (/.f64 (+.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (/.f64 -1 (+.f64 1 (pow.f64 x -1/2)))) (+.f64 1 (pow.f64 x -1/2))) 3/8 (/.f64 1 (+.f64 1 (pow.f64 x -1/2)))))) (/.f64 1 (+.f64 x (pow.f64 x 1/2))))) (/.f64 -1 (+.f64 1 (pow.f64 x -1/2)))))
(sqrt.f64 (/.f64 1 (pow.f64 x 3)))
(/.f64 1 (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))))))
(/.f64 1 (*.f64 (pow.f64 x 2) (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))))))
(/.f64 (/.f64 1 (pow.f64 x 2)) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))
1
(+.f64 1 (*.f64 -1/2 x))
(+.f64 1 (*.f64 x -1/2))
(fma.f64 x -1/2 1)
(+.f64 1 (+.f64 (*.f64 -1/2 x) (*.f64 3/8 (pow.f64 x 2))))
(+.f64 1 (fma.f64 -1/2 x (*.f64 (pow.f64 x 2) 3/8)))
(+.f64 (fma.f64 x -1/2 1) (*.f64 (pow.f64 x 2) 3/8))
(+.f64 1 (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -5/16 (pow.f64 x 3)) (*.f64 3/8 (pow.f64 x 2)))))
(+.f64 1 (fma.f64 -1/2 x (fma.f64 -5/16 (pow.f64 x 3) (*.f64 (pow.f64 x 2) 3/8))))
(+.f64 (fma.f64 x -1/2 1) (fma.f64 (pow.f64 x 2) 3/8 (*.f64 (pow.f64 x 3) -5/16)))
(+.f64 1 (pow.f64 x -1/2))
(+.f64 1 (+.f64 (*.f64 -1/2 x) (pow.f64 x -1/2)))
(+.f64 1 (fma.f64 -1/2 x (pow.f64 x -1/2)))
(+.f64 1 (fma.f64 x -1/2 (pow.f64 x -1/2)))
(+.f64 1 (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 3/8 (pow.f64 x 2)) (pow.f64 x -1/2))))
(+.f64 1 (fma.f64 -1/2 x (fma.f64 3/8 (pow.f64 x 2) (pow.f64 x -1/2))))
(+.f64 (fma.f64 x -1/2 1) (fma.f64 (pow.f64 x 2) 3/8 (pow.f64 x -1/2)))
(+.f64 1 (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -5/16 (pow.f64 x 3)) (+.f64 (*.f64 3/8 (pow.f64 x 2)) (pow.f64 x -1/2)))))
(+.f64 1 (fma.f64 -1/2 x (fma.f64 -5/16 (pow.f64 x 3) (fma.f64 3/8 (pow.f64 x 2) (pow.f64 x -1/2)))))
(+.f64 (fma.f64 x -1/2 1) (fma.f64 (pow.f64 x 3) -5/16 (fma.f64 (pow.f64 x 2) 3/8 (pow.f64 x -1/2))))
(sqrt.f64 (/.f64 1 x))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))))
(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))))
(*.f64 -1 (sqrt.f64 (/.f64 1 x)))
(neg.f64 (sqrt.f64 (/.f64 1 x)))
(*.f64 -1 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))))
(neg.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))))
(neg.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))
1
(+.f64 1 (*.f64 -1/2 x))
(+.f64 1 (*.f64 x -1/2))
(fma.f64 x -1/2 1)
(+.f64 1 (+.f64 (*.f64 -1/2 x) (*.f64 3/8 (pow.f64 x 2))))
(+.f64 1 (fma.f64 -1/2 x (*.f64 (pow.f64 x 2) 3/8)))
(+.f64 (fma.f64 x -1/2 1) (*.f64 (pow.f64 x 2) 3/8))
(+.f64 1 (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -5/16 (pow.f64 x 3)) (*.f64 3/8 (pow.f64 x 2)))))
(+.f64 1 (fma.f64 -1/2 x (fma.f64 -5/16 (pow.f64 x 3) (*.f64 (pow.f64 x 2) 3/8))))
(+.f64 (fma.f64 x -1/2 1) (fma.f64 (pow.f64 x 2) 3/8 (*.f64 (pow.f64 x 3) -5/16)))
(sqrt.f64 (/.f64 1 x))
(+.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))
(fma.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (sqrt.f64 (/.f64 1 x)))
(+.f64 (sqrt.f64 (/.f64 1 x)) (+.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))))))
(+.f64 (sqrt.f64 (/.f64 1 x)) (fma.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))))))
(+.f64 (fma.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (sqrt.f64 (/.f64 1 x))) (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))
(+.f64 (sqrt.f64 (/.f64 1 x)) (+.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 -5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))))
(+.f64 (sqrt.f64 (/.f64 1 x)) (fma.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (fma.f64 -5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))))
(+.f64 (fma.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (sqrt.f64 (/.f64 1 x))) (fma.f64 -5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))))))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))))
(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))))
(+.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 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) (*.f64 -1/2 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) x)))
(fma.f64 -1/2 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))
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1
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1
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-1
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(pow.f64 (cbrt.f64 -1) 2)
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-1
(-.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x -1)
(fma.f64 x 1/2 -1)
(-.f64 (+.f64 (*.f64 -3/8 (pow.f64 x 2)) (*.f64 1/2 x)) 1)
(+.f64 (*.f64 (pow.f64 x 2) -3/8) (fma.f64 1/2 x -1))
(fma.f64 (pow.f64 x 2) -3/8 (fma.f64 x 1/2 -1))
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(-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))
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(pow.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) 2)
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(pow.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) 2)
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(/.f64 (+.f64 x (-.f64 -1 x)) (*.f64 x (-.f64 -1 x)))
(/.f64 (+.f64 -1 (*.f64 0 x)) (*.f64 x (-.f64 -1 x)))
(/.f64 (+.f64 (*.f64 (+.f64 1 x) -1) x) (*.f64 x (*.f64 (+.f64 1 x) -1)))
(/.f64 (+.f64 x (-.f64 -1 x)) (*.f64 x (-.f64 -1 x)))
(/.f64 (+.f64 -1 (*.f64 0 x)) (*.f64 x (-.f64 -1 x)))
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(/.f64 (+.f64 1 (*.f64 0 x)) (fma.f64 x x x))
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(/.f64 (+.f64 1 (*.f64 0 x)) (fma.f64 x x x))
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(/.f64 (+.f64 -1 (*.f64 0 x)) (*.f64 x (-.f64 -1 x)))
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(/.f64 (+.f64 -1 (*.f64 0 x)) (*.f64 x (-.f64 -1 x)))
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(/.f64 (+.f64 x (-.f64 -1 x)) (*.f64 x (-.f64 -1 x)))
(/.f64 (+.f64 -1 (*.f64 0 x)) (*.f64 x (-.f64 -1 x)))
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(/.f64 (+.f64 1 (*.f64 0 x)) (fma.f64 x x x))
(/.f64 (+.f64 (neg.f64 x) (*.f64 (+.f64 1 x) 1)) (*.f64 (+.f64 1 x) x))
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(/.f64 (+.f64 1 (*.f64 0 x)) (fma.f64 x x x))
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(/.f64 (+.f64 -1 (*.f64 0 x)) (*.f64 x (-.f64 -1 x)))
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(*.f64 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (pow.f64 (hypot.f64 1 (sqrt.f64 x)) 1/6)) (/.f64 (cbrt.f64 (/.f64 -1 (cbrt.f64 (+.f64 1 x)))) (pow.f64 (hypot.f64 1 (sqrt.f64 x)) 1/6)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 -1 (cbrt.f64 (+.f64 1 x)))) 1) (/.f64 (sqrt.f64 (/.f64 -1 (cbrt.f64 (+.f64 1 x)))) (pow.f64 (+.f64 1 x) 1/6)))
(neg.f64 (/.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) (pow.f64 (+.f64 1 x) 1/6)))
(/.f64 -1 (pow.f64 (pow.f64 (+.f64 1 x) 1/6) 3))
(*.f64 (/.f64 (sqrt.f64 (/.f64 -1 (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 (cbrt.f64 (+.f64 1 x)))) (/.f64 (sqrt.f64 (/.f64 -1 (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 (pow.f64 (+.f64 1 x) 1/6))))
(*.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (+.f64 1 x)))) (/.f64 -1 (*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 1/6)) (cbrt.f64 (+.f64 1 x)))))
(/.f64 (/.f64 (/.f64 -1 (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 (+.f64 1 x))) 1) (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) (cbrt.f64 (/.f64 1 (+.f64 1 x))))
(*.f64 (*.f64 -1 (cbrt.f64 (/.f64 1 (+.f64 1 x)))) (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)))
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2))) (cbrt.f64 (/.f64 1 (+.f64 1 x))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) (neg.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x)))))
(*.f64 (*.f64 -1 (pow.f64 (hypot.f64 1 (sqrt.f64 x)) -1/2)) (pow.f64 (hypot.f64 1 (sqrt.f64 x)) -1/2))
(neg.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(/.f64 -1 (hypot.f64 1 (sqrt.f64 x)))
(*.f64 (*.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) (cbrt.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))))) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2))))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x)))) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x)))) 4) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) (pow.f64 (pow.f64 (+.f64 1 x) -1/2) 1/6)) (pow.f64 (pow.f64 (+.f64 1 x) -1/2) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) (cbrt.f64 (/.f64 1 (+.f64 1 x))))
(pow.f64 (+.f64 1 x) -1/2)
(pow.f64 (hypot.f64 1 (sqrt.f64 x)) -1)
(/.f64 1 (hypot.f64 1 (sqrt.f64 x)))
(pow.f64 (pow.f64 (+.f64 1 x) -1/2) 1)
(pow.f64 (+.f64 1 x) -1/2)
(pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) 3)
(pow.f64 (+.f64 1 x) -1/2)
(pow.f64 (/.f64 1 (+.f64 1 x)) 1/2)
(sqrt.f64 (/.f64 1 (+.f64 1 x)))
(pow.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 x)) -3) 1/3)
(cbrt.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 x)) -3))
(pow.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 x)) -1/2) 2)
(/.f64 1 (hypot.f64 1 (sqrt.f64 x)))
(pow.f64 (neg.f64 (hypot.f64 1 (sqrt.f64 x))) -1)
(/.f64 1 (neg.f64 (hypot.f64 1 (sqrt.f64 x))))
(neg.f64 (pow.f64 (+.f64 1 x) -1/2))
(neg.f64 (/.f64 (/.f64 -1 (cbrt.f64 (+.f64 1 x))) (neg.f64 (pow.f64 (+.f64 1 x) 1/6))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) (/.f64 1 (neg.f64 (pow.f64 (+.f64 1 x) 1/6))))
(/.f64 1 (neg.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/6) 3)))
(sqrt.f64 (/.f64 1 (+.f64 1 x)))
(fabs.f64 (pow.f64 (+.f64 1 x) -1/2))
(pow.f64 (+.f64 1 x) -1/2)
(log.f64 (exp.f64 (pow.f64 (+.f64 1 x) -1/2)))
(pow.f64 (+.f64 1 x) -1/2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 1 x) -1/2))))
(pow.f64 (+.f64 1 x) -1/2)
(cbrt.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 x)) -3))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 x) -1/2)))
(pow.f64 (+.f64 1 x) -1/2)
(exp.f64 (neg.f64 (*.f64 (log1p.f64 x) 1/2)))
(pow.f64 (exp.f64 -1/2) (log1p.f64 x))
(exp.f64 (*.f64 (neg.f64 (*.f64 (log1p.f64 x) 1/2)) 1))
(pow.f64 (exp.f64 -1/2) (log1p.f64 x))
(exp.f64 (*.f64 (*.f64 (log1p.f64 x) 1/2) -1))
(pow.f64 (exp.f64 -1/2) (log1p.f64 x))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 1 x) -1/2)))
(pow.f64 (+.f64 1 x) -1/2)

eval671.0ms (5%)

Compiler

Compiled 25780 to 21037 computations (18.4% saved)

prune160.0ms (1.2%)

Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New9398947
Fresh39443
Picked415
Done000
Total98213995
Accuracy
84.9%
Counts
995 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
84.9%
(/.f64 (/.f64 (+.f64 -1 (*.f64 0 x)) (*.f64 x (-.f64 -1 x))) (+.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
84.3%
(/.f64 (-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))) (+.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
45.9%
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
45.9%
(/.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (+.f64 1 x))) (+.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
45.9%
(/.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (+.f64 1 x))) (+.f64 (pow.f64 x -1/2) (sqrt.f64 (/.f64 1 (+.f64 1 x)))))
44.4%
(/.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (+.f64 1 x))) (sqrt.f64 (/.f64 1 x)))
45.9%
(/.f64 1 (/.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))))
7.8%
(/.f64 1 (+.f64 x (pow.f64 x 1/2)))
7.8%
(/.f64 1 (*.f64 x (+.f64 1 (pow.f64 x -1/2))))
45.9%
(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
35.3%
(-.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (+.f64 1 x) -1/2))
47.8%
(sqrt.f64 (/.f64 1 (pow.f64 x 3)))
3.3%
(neg.f64 (sqrt.f64 (/.f64 1 x)))
Compiler

Compiled 373 to 301 computations (19.3% saved)

localize1.3s (9.4%)

Localize:

Found 13 expressions with local error:

NewAccuracyProgram
100.0%
(pow.f64 (+.f64 1 x) -1/2)
99.6%
(/.f64 1 (sqrt.f64 x))
45.9%
(-.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (+.f64 1 x) -1/2))
99.8%
(/.f64 1 (pow.f64 x 3))
70.2%
(sqrt.f64 (/.f64 1 (pow.f64 x 3)))
100.0%
(+.f64 1 (pow.f64 x -1/2))
100.0%
(/.f64 1 (*.f64 x (+.f64 1 (pow.f64 x -1/2))))
100.0%
(*.f64 x (+.f64 1 (pow.f64 x -1/2)))
99.8%
(sqrt.f64 (/.f64 1 x))
100.0%
(+.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 (+.f64 1 x))))
99.6%
(/.f64 1 (sqrt.f64 (+.f64 1 x)))
98.2%
(/.f64 (+.f64 -1 (*.f64 0 x)) (*.f64 x (-.f64 -1 x)))
87.2%
(/.f64 (/.f64 (+.f64 -1 (*.f64 0 x)) (*.f64 x (-.f64 -1 x))) (+.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
Compiler

Compiled 167 to 123 computations (26.3% saved)

series65.0ms (0.5%)

Counts
10 → 56
Calls

30 calls:

TimeVariablePointExpression
18.0ms
x
@-inf
(/.f64 1 (*.f64 x (+.f64 1 (pow.f64 x -1/2))))
13.0ms
x
@-inf
(*.f64 x (+.f64 1 (pow.f64 x -1/2)))
9.0ms
x
@0
(*.f64 x (+.f64 1 (pow.f64 x -1/2)))
9.0ms
x
@inf
(*.f64 x (+.f64 1 (pow.f64 x -1/2)))
4.0ms
x
@-inf
(/.f64 (/.f64 (+.f64 -1 (*.f64 0 x)) (*.f64 x (-.f64 -1 x))) (+.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 (+.f64 1 x)))))

rewrite214.0ms (1.6%)

Algorithm
batch-egg-rewrite
Rules
756×expm1-udef
314×associate-*r*
246×log1p-expm1-u
246×expm1-log1p-u
238×frac-times
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034251
1637219
27798219
Stop Event
node limit
Counts
10 → 343
Calls
Call 1
Inputs
(/.f64 (/.f64 (+.f64 -1 (*.f64 0 x)) (*.f64 x (-.f64 -1 x))) (+.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (+.f64 -1 (*.f64 0 x)) (*.f64 x (-.f64 -1 x)))
(sqrt.f64 (/.f64 1 x))
(*.f64 x (+.f64 1 (pow.f64 x -1/2)))
(/.f64 1 (*.f64 x (+.f64 1 (pow.f64 x -1/2))))
(+.f64 1 (pow.f64 x -1/2))
(sqrt.f64 (/.f64 1 (pow.f64 x 3)))
(/.f64 1 (pow.f64 x 3))
(-.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (+.f64 1 x) -1/2))
(pow.f64 (+.f64 1 x) -1/2)
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (/.f64 -1 x) (-.f64 -1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))) 1)
(*.f64 -1 (/.f64 (/.f64 (/.f64 1 x) (-.f64 -1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))
(*.f64 -1 (/.f64 1 (*.f64 (*.f64 x (-.f64 -1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))))
(*.f64 -1 (*.f64 (/.f64 (/.f64 1 x) (-.f64 -1 x)) (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))))
(*.f64 (/.f64 (/.f64 -1 x) (-.f64 -1 x)) (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))
(*.f64 1 (/.f64 (/.f64 (/.f64 -1 x) (-.f64 -1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))
(*.f64 (/.f64 (/.f64 (/.f64 -1 x) (-.f64 -1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))) 1)
(*.f64 (cbrt.f64 (/.f64 (/.f64 (/.f64 -1 x) (-.f64 -1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))) (cbrt.f64 (pow.f64 (/.f64 (/.f64 (/.f64 -1 x) (-.f64 -1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 (/.f64 -1 x) (-.f64 -1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))) 2)) (cbrt.f64 (/.f64 (/.f64 (/.f64 -1 x) (-.f64 -1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 -1 x) (-.f64 -1 x)) 2)) (*.f64 (cbrt.f64 (/.f64 (/.f64 -1 x) (-.f64 -1 x))) (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 -1 x) (-.f64 -1 x))) (hypot.f64 (pow.f64 x -1/4) (pow.f64 (+.f64 x 1) -1/4))) (/.f64 (sqrt.f64 (/.f64 (/.f64 -1 x) (-.f64 -1 x))) (hypot.f64 (pow.f64 x -1/4) (pow.f64 (+.f64 x 1) -1/4))))
(*.f64 (sqrt.f64 (/.f64 (/.f64 -1 x) (-.f64 -1 x))) (*.f64 (sqrt.f64 (/.f64 (/.f64 -1 x) (-.f64 -1 x))) (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))))
(*.f64 (/.f64 (/.f64 1 x) (-.f64 -1 x)) (/.f64 1 (neg.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))) (/.f64 (/.f64 -1 x) (-.f64 -1 x)))
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))) 2)) (/.f64 (/.f64 (/.f64 1 x) (-.f64 -1 x)) (cbrt.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))))
(*.f64 (/.f64 -1 (hypot.f64 (pow.f64 x -1/4) (pow.f64 (+.f64 x 1) -1/4))) (/.f64 (/.f64 (/.f64 1 x) (-.f64 -1 x)) (hypot.f64 (pow.f64 x -1/4) (pow.f64 (+.f64 x 1) -1/4))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))) 2)) (/.f64 (/.f64 (/.f64 -1 x) (-.f64 -1 x)) (cbrt.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))))
(*.f64 (/.f64 1 (hypot.f64 (pow.f64 x -1/4) (pow.f64 (+.f64 x 1) -1/4))) (/.f64 (/.f64 (/.f64 -1 x) (-.f64 -1 x)) (hypot.f64 (pow.f64 x -1/4) (pow.f64 (+.f64 x 1) -1/4))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 -1 x) (-.f64 -1 x)) 2)) 1) (/.f64 (cbrt.f64 (/.f64 (/.f64 -1 x) (-.f64 -1 x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 -1 x) (-.f64 -1 x)) 2)) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))) 2)) (cbrt.f64 (/.f64 (/.f64 (/.f64 -1 x) (-.f64 -1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 -1 x) (-.f64 -1 x)) 2)) (hypot.f64 (pow.f64 x -1/4) (pow.f64 (+.f64 x 1) -1/4))) (/.f64 (cbrt.f64 (/.f64 (/.f64 -1 x) (-.f64 -1 x))) (hypot.f64 (pow.f64 x -1/4) (pow.f64 (+.f64 x 1) -1/4))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 -1 x) (-.f64 -1 x))) 1) (/.f64 (sqrt.f64 (/.f64 (/.f64 -1 x) (-.f64 -1 x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 -1 x) (-.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))) 2)) (/.f64 (sqrt.f64 (/.f64 (/.f64 -1 x) (-.f64 -1 x))) (cbrt.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))))
(*.f64 (/.f64 (/.f64 (/.f64 -1 x) (-.f64 -1 x)) (+.f64 (pow.f64 x -3/2) (pow.f64 (+.f64 x 1) -3/2))) (+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 (pow.f64 x -1/2) (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 (/.f64 (/.f64 -1 x) (-.f64 -1 x)) (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 x 1)))) (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))
(pow.f64 (/.f64 (/.f64 (/.f64 -1 x) (-.f64 -1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))) 1)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (/.f64 -1 x) (-.f64 -1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 (/.f64 -1 x) (-.f64 -1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 -1 x) (-.f64 -1 x))) (hypot.f64 (pow.f64 x -1/4) (pow.f64 (+.f64 x 1) -1/4))) 2)
(pow.f64 (*.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) (/.f64 (-.f64 -1 x) (/.f64 -1 x))) -1)
(neg.f64 (/.f64 (/.f64 (/.f64 -1 x) (-.f64 -1 x)) (neg.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (/.f64 -1 x) (-.f64 -1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))) 2))
(log.f64 (exp.f64 (/.f64 (/.f64 (/.f64 -1 x) (-.f64 -1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (/.f64 -1 x) (-.f64 -1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 (/.f64 -1 x) (-.f64 -1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (/.f64 -1 x) (-.f64 -1 x)) 3) (pow.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (/.f64 -1 x) (-.f64 -1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))))
(exp.f64 (log.f64 (/.f64 (/.f64 (/.f64 -1 x) (-.f64 -1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (/.f64 -1 x) (-.f64 -1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (/.f64 -1 x) (-.f64 -1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 -1 x) (-.f64 -1 x)))) 1)
(*.f64 -1 (/.f64 (/.f64 1 x) (-.f64 -1 x)))
(*.f64 (/.f64 (/.f64 -1 x) (-.f64 -1 x)) 1)
(*.f64 1 (/.f64 (/.f64 -1 x) (-.f64 -1 x)))
(*.f64 (cbrt.f64 (/.f64 (/.f64 -1 x) (-.f64 -1 x))) (cbrt.f64 (pow.f64 (/.f64 (/.f64 -1 x) (-.f64 -1 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 -1 x) (-.f64 -1 x)) 2)) (cbrt.f64 (/.f64 (/.f64 -1 x) (-.f64 -1 x))))
(*.f64 (sqrt.f64 (/.f64 (/.f64 -1 x) (-.f64 -1 x))) (sqrt.f64 (/.f64 (/.f64 -1 x) (-.f64 -1 x))))
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(*.f64 (cbrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))) 2) (cbrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))) (sqrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))
(*.f64 (-.f64 (pow.f64 x -3/2) (pow.f64 (+.f64 x 1) -3/2)) (/.f64 1 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 (pow.f64 x -1/2) (sqrt.f64 (+.f64 x 1)))))))
(*.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 x 1))) (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))
(*.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) 1)
(*.f64 (+.f64 (pow.f64 x -1/4) (pow.f64 (+.f64 x 1) -1/4)) (-.f64 (pow.f64 x -1/4) (pow.f64 (+.f64 x 1) -1/4)))
(/.f64 1 (/.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 (pow.f64 x -1/2) (sqrt.f64 (+.f64 x 1))))) (-.f64 (pow.f64 x -3/2) (pow.f64 (+.f64 x 1) -3/2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 x 1)))))
(/.f64 (-.f64 (pow.f64 x -3/2) (pow.f64 (+.f64 x 1) -3/2)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 (pow.f64 x -1/2) (sqrt.f64 (+.f64 x 1))))))
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 x 1))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))
(/.f64 (neg.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 x 1)))) (neg.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x -3/2) (pow.f64 (+.f64 x 1) -3/2))) (neg.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 (pow.f64 x -1/2) (sqrt.f64 (+.f64 x 1)))))))
(/.f64 (+.f64 (pow.f64 x -3/2) (pow.f64 (neg.f64 (pow.f64 (+.f64 x 1) -1/2)) 3)) (+.f64 (/.f64 1 x) (-.f64 (*.f64 (neg.f64 (pow.f64 (+.f64 x 1) -1/2)) (neg.f64 (pow.f64 (+.f64 x 1) -1/2))) (*.f64 (pow.f64 x -1/2) (neg.f64 (pow.f64 (+.f64 x 1) -1/2))))))
(/.f64 (-.f64 (/.f64 1 x) (*.f64 (neg.f64 (pow.f64 (+.f64 x 1) -1/2)) (neg.f64 (pow.f64 (+.f64 x 1) -1/2)))) (-.f64 (pow.f64 x -1/2) (neg.f64 (pow.f64 (+.f64 x 1) -1/2))))
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))) 3)
(pow.f64 (pow.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))) 2)
(pow.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) 1)
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) 2))
(log.f64 (exp.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) 3))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))
(exp.f64 (log.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))) 1))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))
(fma.f64 1 (pow.f64 x -1/2) (neg.f64 (pow.f64 (+.f64 x 1) -1/2)))
(fma.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -1/2)) (neg.f64 (pow.f64 (+.f64 x 1) -1/2)))
(fma.f64 (pow.f64 x -1/4) (pow.f64 x -1/4) (neg.f64 (pow.f64 (+.f64 x 1) -1/2)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 x 1) -1/2))) 1)
(*.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 (+.f64 x 1)))))
(*.f64 1 (pow.f64 (+.f64 x 1) -1/2))
(*.f64 (pow.f64 (+.f64 x 1) -1/2) 1)
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) -1/2)) (cbrt.f64 (/.f64 1 (+.f64 x 1))))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 x 1))) (cbrt.f64 (pow.f64 (+.f64 x 1) -1/2)))
(*.f64 (pow.f64 (+.f64 x 1) -1/4) (pow.f64 (+.f64 x 1) -1/4))
(*.f64 (pow.f64 1 -1/2) (pow.f64 (+.f64 x 1) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) -1/2) (pow.f64 (cbrt.f64 (+.f64 x 1)) -1/2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) -1) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) -1))
(*.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/4) -1) (pow.f64 (pow.f64 (+.f64 x 1) 1/4) -1))
(/.f64 -1 (neg.f64 (sqrt.f64 (+.f64 x 1))))
(/.f64 1 (sqrt.f64 (+.f64 x 1)))
(/.f64 1 (neg.f64 (neg.f64 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (pow.f64 (+.f64 x 1) -1/4) (pow.f64 (+.f64 x 1) 1/4))
(/.f64 (/.f64 1 (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (sqrt.f64 (+.f64 x 1))))
(sqrt.f64 (/.f64 1 (+.f64 x 1)))
(log.f64 (exp.f64 (pow.f64 (+.f64 x 1) -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 x 1) -1/2))))
(cbrt.f64 (pow.f64 (+.f64 x 1) -3/2))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 x 1) -1/2)))
(exp.f64 (*.f64 -1/2 (log1p.f64 x)))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) -1))
(exp.f64 (*.f64 (*.f64 -1/2 (log1p.f64 x)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 x 1) -1/2)))

simplify148.0ms (1.1%)

Algorithm
egg-herbie
Rules
902×associate-*r*
848×associate-*l*
620×associate-/l*
510×fma-def
430×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
079615289
1195614034
Stop Event
node limit
Counts
399 → 546
Calls
Call 1
Inputs
(/.f64 1 (*.f64 x (+.f64 1 (pow.f64 x -1/2))))
(+.f64 (*.f64 -1 (+.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))))) (/.f64 1 (*.f64 x (+.f64 1 (pow.f64 x -1/2)))))
(+.f64 (*.f64 -1 (+.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))))) (+.f64 (*.f64 x (-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1/2 (pow.f64 x -1/2)) (+.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))))) (+.f64 1 (pow.f64 x -1/2)))))) (/.f64 1 (*.f64 x (+.f64 1 (pow.f64 x -1/2))))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 1/8 (/.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))) (+.f64 1 (pow.f64 x -1/2)))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (/.f64 (*.f64 (+.f64 1/2 (pow.f64 x -1/2)) (-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1/2 (pow.f64 x -1/2)) (+.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))))) (+.f64 1 (pow.f64 x -1/2)))))) (+.f64 1 (pow.f64 x -1/2))))))) (+.f64 (*.f64 -1 (+.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))))) (+.f64 (*.f64 x (-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1/2 (pow.f64 x -1/2)) (+.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))))) (+.f64 1 (pow.f64 x -1/2)))))) (/.f64 1 (*.f64 x (+.f64 1 (pow.f64 x -1/2)))))))
(sqrt.f64 (/.f64 1 (pow.f64 x 3)))
(/.f64 1 (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) 1)
(-.f64 (+.f64 x (/.f64 1 x)) 1)
(-.f64 (+.f64 x (+.f64 (*.f64 -1 (pow.f64 x 2)) (/.f64 1 x))) 1)
(/.f64 1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5))))
(/.f64 1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5))))
(*.f64 x (+.f64 1 (pow.f64 (/.f64 1 x) 1/2)))
(*.f64 x (+.f64 1 (pow.f64 (/.f64 1 x) 1/2)))
(*.f64 x (+.f64 1 (pow.f64 (/.f64 1 x) 1/2)))
(*.f64 x (+.f64 1 (pow.f64 (/.f64 1 x) 1/2)))
(*.f64 x (+.f64 1 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))))))
(*.f64 x (+.f64 1 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))))))
(*.f64 x (+.f64 1 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))))))
(*.f64 x (+.f64 1 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))))))
(/.f64 1 (*.f64 x (+.f64 1 (pow.f64 (/.f64 1 x) 1/2))))
(/.f64 1 (*.f64 x (+.f64 1 (pow.f64 (/.f64 1 x) 1/2))))
(/.f64 1 (*.f64 x (+.f64 1 (pow.f64 (/.f64 1 x) 1/2))))
(/.f64 1 (*.f64 x (+.f64 1 (pow.f64 (/.f64 1 x) 1/2))))
(/.f64 1 (*.f64 x (+.f64 1 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))))))
(/.f64 1 (*.f64 x (+.f64 1 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))))))
(/.f64 1 (*.f64 x (+.f64 1 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))))))
(/.f64 1 (*.f64 x (+.f64 1 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))))))
(+.f64 1 (pow.f64 (/.f64 1 x) 1/2))
(+.f64 1 (pow.f64 (/.f64 1 x) 1/2))
(+.f64 1 (pow.f64 (/.f64 1 x) 1/2))
(+.f64 1 (pow.f64 (/.f64 1 x) 1/2))
(+.f64 1 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))))
(+.f64 1 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))))
(+.f64 1 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))))
(+.f64 1 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))))
(*.f64 -1 (sqrt.f64 (/.f64 1 x)))
(*.f64 -1 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))))
1
(+.f64 1 (*.f64 -1/2 x))
(+.f64 1 (+.f64 (*.f64 -1/2 x) (*.f64 3/8 (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -5/16 (pow.f64 x 3)) (*.f64 3/8 (pow.f64 x 2)))))
(sqrt.f64 (/.f64 1 x))
(+.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (sqrt.f64 (/.f64 1 x)) (+.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))))))
(+.f64 (sqrt.f64 (/.f64 1 x)) (+.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 -5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))))
(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 -1/2 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) x)) (*.f64 3/8 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 2)))))
(+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (+.f64 (*.f64 -1/2 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) x)) (+.f64 (*.f64 -5/16 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 3))) (*.f64 3/8 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 2))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (/.f64 -1 x) (-.f64 -1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))) 1)
(*.f64 -1 (/.f64 (/.f64 (/.f64 1 x) (-.f64 -1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))
(*.f64 -1 (/.f64 1 (*.f64 (*.f64 x (-.f64 -1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))))
(*.f64 -1 (*.f64 (/.f64 (/.f64 1 x) (-.f64 -1 x)) (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))))
(*.f64 (/.f64 (/.f64 -1 x) (-.f64 -1 x)) (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))
(*.f64 1 (/.f64 (/.f64 (/.f64 -1 x) (-.f64 -1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))
(*.f64 (/.f64 (/.f64 (/.f64 -1 x) (-.f64 -1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))) 1)
(*.f64 (cbrt.f64 (/.f64 (/.f64 (/.f64 -1 x) (-.f64 -1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))) (cbrt.f64 (pow.f64 (/.f64 (/.f64 (/.f64 -1 x) (-.f64 -1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 (/.f64 -1 x) (-.f64 -1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))) 2)) (cbrt.f64 (/.f64 (/.f64 (/.f64 -1 x) (-.f64 -1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 -1 x) (-.f64 -1 x)) 2)) (*.f64 (cbrt.f64 (/.f64 (/.f64 -1 x) (-.f64 -1 x))) (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 -1 x) (-.f64 -1 x))) (hypot.f64 (pow.f64 x -1/4) (pow.f64 (+.f64 x 1) -1/4))) (/.f64 (sqrt.f64 (/.f64 (/.f64 -1 x) (-.f64 -1 x))) (hypot.f64 (pow.f64 x -1/4) (pow.f64 (+.f64 x 1) -1/4))))
(*.f64 (sqrt.f64 (/.f64 (/.f64 -1 x) (-.f64 -1 x))) (*.f64 (sqrt.f64 (/.f64 (/.f64 -1 x) (-.f64 -1 x))) (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))))
(*.f64 (/.f64 (/.f64 1 x) (-.f64 -1 x)) (/.f64 1 (neg.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))))
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(cbrt.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) 1) 3))
(expm1.f64 (log1p.f64 (+.f64 (pow.f64 x -1/2) 1)))
(exp.f64 (log1p.f64 (pow.f64 x -1/2)))
(exp.f64 (*.f64 (log1p.f64 (pow.f64 x -1/2)) 1))
(log1p.f64 (expm1.f64 (+.f64 (pow.f64 x -1/2) 1)))
(fma.f64 1 (pow.f64 x -1/2) 1)
(fma.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -1/2)) 1)
(fma.f64 (pow.f64 x -1/4) (pow.f64 x -1/4) 1)
(-.f64 (+.f64 1 (pow.f64 x -3/2)) 1)
(*.f64 (pow.f64 x -1/2) (/.f64 1 x))
(*.f64 1 (pow.f64 x -3/2))
(*.f64 (/.f64 1 x) (pow.f64 x -1/2))
(*.f64 (pow.f64 x -3/2) 1)
(*.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 1 (cbrt.f64 x)) (pow.f64 x -1/2)))
(*.f64 (sqrt.f64 (pow.f64 x -3/2)) (sqrt.f64 (pow.f64 x -3/2)))
(*.f64 (pow.f64 1 1/2) (pow.f64 x -3/2))
(*.f64 (pow.f64 (pow.f64 x -1/4) 3) (pow.f64 (pow.f64 x -1/4) 3))
(*.f64 (pow.f64 (pow.f64 x -1/2) 3/2) (pow.f64 (pow.f64 x -1/2) 3/2))
(*.f64 (*.f64 (/.f64 1 x) (/.f64 1 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -1/2)))
(*.f64 (*.f64 (/.f64 1 x) (pow.f64 x -1/4)) (pow.f64 x -1/4))
(/.f64 -1 (pow.f64 (neg.f64 (sqrt.f64 x)) 3))
(/.f64 -1 (*.f64 (neg.f64 x) (sqrt.f64 x)))
(/.f64 -1 (*.f64 x (neg.f64 (sqrt.f64 x))))
(/.f64 -1 (neg.f64 (pow.f64 x 3/2)))
(/.f64 (pow.f64 x -1/2) x)
(/.f64 1 (pow.f64 x 3/2))
(/.f64 1 (*.f64 (neg.f64 x) (neg.f64 (sqrt.f64 x))))
(/.f64 1 (/.f64 (pow.f64 x 3/2) 1))
(/.f64 (/.f64 1 x) (sqrt.f64 x))
(/.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (pow.f64 x 3))))
(/.f64 (*.f64 (/.f64 1 x) -1) (neg.f64 (sqrt.f64 x)))
(/.f64 (*.f64 -1 (pow.f64 x -1/2)) (neg.f64 x))
(pow.f64 x -3/2)
(pow.f64 (pow.f64 x -1/2) 3)
(pow.f64 (/.f64 1 x) 3/2)
(pow.f64 (pow.f64 x 3) -1/2)
(pow.f64 (pow.f64 x -3) 1/2)
(pow.f64 (pow.f64 x -3/2) 1)
(pow.f64 (sqrt.f64 x) -3)
(pow.f64 (pow.f64 (pow.f64 x -3) 3/2) 1/3)
(pow.f64 (sqrt.f64 (pow.f64 x -3/2)) 2)
(pow.f64 (pow.f64 x 3/2) -1)
(fabs.f64 (pow.f64 x -3/2))
(log.f64 (exp.f64 (pow.f64 x -3/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -3/2))))
(cbrt.f64 (pow.f64 (pow.f64 x -3) 3/2))
(expm1.f64 (log1p.f64 (pow.f64 x -3/2)))
(exp.f64 (log.f64 (pow.f64 x -3/2)))
(exp.f64 (*.f64 (*.f64 -3 (log.f64 x)) 1/2))
(exp.f64 (*.f64 (log.f64 (pow.f64 x -3/2)) 1))
(exp.f64 (*.f64 (*.f64 -1/2 (log.f64 x)) 3))
(log1p.f64 (expm1.f64 (pow.f64 x -3/2)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x -3))) 1)
(*.f64 -1 (/.f64 1 (neg.f64 (pow.f64 x 3))))
(*.f64 1 (pow.f64 x -3))
(*.f64 (/.f64 1 x) (pow.f64 x -2))
(*.f64 (pow.f64 x -3) 1)
(*.f64 (pow.f64 x -3/2) (pow.f64 x -3/2))
(*.f64 (pow.f64 x -2) (/.f64 1 x))
(*.f64 (sqrt.f64 (pow.f64 x -3/2)) (*.f64 (sqrt.f64 (pow.f64 x -3/2)) (pow.f64 x -3/2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -3) (pow.f64 (cbrt.f64 x) -3))
(*.f64 (*.f64 (pow.f64 x -3/2) (sqrt.f64 (pow.f64 x -3/2))) (sqrt.f64 (pow.f64 x -3/2)))
(*.f64 (*.f64 (pow.f64 x -2) 1) (/.f64 1 x))
(*.f64 (*.f64 (pow.f64 x -2) (pow.f64 x -1/2)) (pow.f64 x -1/2))
(*.f64 (*.f64 (pow.f64 x -2) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)))
(*.f64 (*.f64 (pow.f64 x -3/2) (/.f64 1 x)) (pow.f64 x -1/2))
(pow.f64 x -3)
(pow.f64 (/.f64 1 x) 3)
(pow.f64 (pow.f64 x 3) -1)
(pow.f64 (pow.f64 x -3) 1)
(pow.f64 (pow.f64 x -3/2) 2)
(pow.f64 (pow.f64 x -6) 1/2)
(pow.f64 (pow.f64 (pow.f64 x -3) 3) 1/3)
(sqrt.f64 (pow.f64 x -6))
(log.f64 (exp.f64 (pow.f64 x -3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -3))))
(cbrt.f64 (pow.f64 (pow.f64 x -3) 3))
(expm1.f64 (log1p.f64 (pow.f64 x -3)))
(exp.f64 (*.f64 -3 (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) -3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 x)) -1))
(exp.f64 (*.f64 (*.f64 -3 (log.f64 x)) 1))
(log1p.f64 (expm1.f64 (pow.f64 x -3)))
(+.f64 (pow.f64 x -1/2) (neg.f64 (pow.f64 (+.f64 x 1) -1/2)))
(+.f64 (pow.f64 x -1/2) (*.f64 (neg.f64 (pow.f64 (+.f64 x 1) -1/2)) 1))
(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) (fma.f64 (neg.f64 (pow.f64 (+.f64 x 1) -1/2)) 1 (pow.f64 (+.f64 x 1) -1/2)))
(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) -1/2))) (cbrt.f64 (/.f64 1 (+.f64 x 1))) (pow.f64 (+.f64 x 1) -1/2)))
(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) (fma.f64 (neg.f64 (pow.f64 (+.f64 x 1) -1/4)) (pow.f64 (+.f64 x 1) -1/4) (pow.f64 (+.f64 x 1) -1/2)))
(+.f64 (neg.f64 (pow.f64 (+.f64 x 1) -1/2)) (pow.f64 x -1/2))
(*.f64 1 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))
(*.f64 (cbrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))) 2) (cbrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))) (sqrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))
(*.f64 (-.f64 (pow.f64 x -3/2) (pow.f64 (+.f64 x 1) -3/2)) (/.f64 1 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 (pow.f64 x -1/2) (sqrt.f64 (+.f64 x 1)))))))
(*.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 x 1))) (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))
(*.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) 1)
(*.f64 (+.f64 (pow.f64 x -1/4) (pow.f64 (+.f64 x 1) -1/4)) (-.f64 (pow.f64 x -1/4) (pow.f64 (+.f64 x 1) -1/4)))
(/.f64 1 (/.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 (pow.f64 x -1/2) (sqrt.f64 (+.f64 x 1))))) (-.f64 (pow.f64 x -3/2) (pow.f64 (+.f64 x 1) -3/2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 x 1)))))
(/.f64 (-.f64 (pow.f64 x -3/2) (pow.f64 (+.f64 x 1) -3/2)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 (pow.f64 x -1/2) (sqrt.f64 (+.f64 x 1))))))
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 x 1))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))
(/.f64 (neg.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 x 1)))) (neg.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x -3/2) (pow.f64 (+.f64 x 1) -3/2))) (neg.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 (pow.f64 x -1/2) (sqrt.f64 (+.f64 x 1)))))))
(/.f64 (+.f64 (pow.f64 x -3/2) (pow.f64 (neg.f64 (pow.f64 (+.f64 x 1) -1/2)) 3)) (+.f64 (/.f64 1 x) (-.f64 (*.f64 (neg.f64 (pow.f64 (+.f64 x 1) -1/2)) (neg.f64 (pow.f64 (+.f64 x 1) -1/2))) (*.f64 (pow.f64 x -1/2) (neg.f64 (pow.f64 (+.f64 x 1) -1/2))))))
(/.f64 (-.f64 (/.f64 1 x) (*.f64 (neg.f64 (pow.f64 (+.f64 x 1) -1/2)) (neg.f64 (pow.f64 (+.f64 x 1) -1/2)))) (-.f64 (pow.f64 x -1/2) (neg.f64 (pow.f64 (+.f64 x 1) -1/2))))
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))) 3)
(pow.f64 (pow.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))) 2)
(pow.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) 1)
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) 2))
(log.f64 (exp.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) 3))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))
(exp.f64 (log.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))) 1))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))
(fma.f64 1 (pow.f64 x -1/2) (neg.f64 (pow.f64 (+.f64 x 1) -1/2)))
(fma.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -1/2)) (neg.f64 (pow.f64 (+.f64 x 1) -1/2)))
(fma.f64 (pow.f64 x -1/4) (pow.f64 x -1/4) (neg.f64 (pow.f64 (+.f64 x 1) -1/2)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 x 1) -1/2))) 1)
(*.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 (+.f64 x 1)))))
(*.f64 1 (pow.f64 (+.f64 x 1) -1/2))
(*.f64 (pow.f64 (+.f64 x 1) -1/2) 1)
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) -1/2)) (cbrt.f64 (/.f64 1 (+.f64 x 1))))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 x 1))) (cbrt.f64 (pow.f64 (+.f64 x 1) -1/2)))
(*.f64 (pow.f64 (+.f64 x 1) -1/4) (pow.f64 (+.f64 x 1) -1/4))
(*.f64 (pow.f64 1 -1/2) (pow.f64 (+.f64 x 1) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) -1/2) (pow.f64 (cbrt.f64 (+.f64 x 1)) -1/2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) -1) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) -1))
(*.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/4) -1) (pow.f64 (pow.f64 (+.f64 x 1) 1/4) -1))
(/.f64 -1 (neg.f64 (sqrt.f64 (+.f64 x 1))))
(/.f64 1 (sqrt.f64 (+.f64 x 1)))
(/.f64 1 (neg.f64 (neg.f64 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (pow.f64 (+.f64 x 1) -1/4) (pow.f64 (+.f64 x 1) 1/4))
(/.f64 (/.f64 1 (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (sqrt.f64 (+.f64 x 1))))
(sqrt.f64 (/.f64 1 (+.f64 x 1)))
(log.f64 (exp.f64 (pow.f64 (+.f64 x 1) -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 x 1) -1/2))))
(cbrt.f64 (pow.f64 (+.f64 x 1) -3/2))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 x 1) -1/2)))
(exp.f64 (*.f64 -1/2 (log1p.f64 x)))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) -1))
(exp.f64 (*.f64 (*.f64 -1/2 (log1p.f64 x)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 x 1) -1/2)))
Outputs
(/.f64 1 (*.f64 x (+.f64 1 (pow.f64 x -1/2))))
(/.f64 1 (+.f64 x (pow.f64 x 1/2)))
(+.f64 (*.f64 -1 (+.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))))) (/.f64 1 (*.f64 x (+.f64 1 (pow.f64 x -1/2)))))
(fma.f64 -1 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (+.f64 (sqrt.f64 (/.f64 1 x)) 1/2)) (/.f64 1 (*.f64 x (+.f64 1 (pow.f64 x -1/2)))))
(-.f64 (/.f64 1 (+.f64 x (pow.f64 x 1/2))) (/.f64 (*.f64 1 (+.f64 (pow.f64 x -1/2) 1/2)) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))
(+.f64 (*.f64 -1 (+.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))))) (+.f64 (*.f64 x (-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1/2 (pow.f64 x -1/2)) (+.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))))) (+.f64 1 (pow.f64 x -1/2)))))) (/.f64 1 (*.f64 x (+.f64 1 (pow.f64 x -1/2))))))
(fma.f64 -1 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (+.f64 (sqrt.f64 (/.f64 1 x)) 1/2)) (fma.f64 x (-.f64 (/.f64 1/8 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (neg.f64 (/.f64 (+.f64 (pow.f64 x -1/2) 1/2) (/.f64 (+.f64 1 (pow.f64 x -1/2)) (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (+.f64 (sqrt.f64 (/.f64 1 x)) 1/2)))))) (/.f64 1 (*.f64 x (+.f64 1 (pow.f64 x -1/2))))))
(-.f64 (fma.f64 x (+.f64 (/.f64 1/8 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (/.f64 (/.f64 (*.f64 1 (+.f64 (pow.f64 x -1/2) 1/2)) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (/.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1/2)))) (/.f64 1 (+.f64 x (pow.f64 x 1/2)))) (/.f64 (*.f64 1 (+.f64 (pow.f64 x -1/2) 1/2)) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 1/8 (/.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))) (+.f64 1 (pow.f64 x -1/2)))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (/.f64 (*.f64 (+.f64 1/2 (pow.f64 x -1/2)) (-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1/2 (pow.f64 x -1/2)) (+.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))))) (+.f64 1 (pow.f64 x -1/2)))))) (+.f64 1 (pow.f64 x -1/2))))))) (+.f64 (*.f64 -1 (+.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))))) (+.f64 (*.f64 x (-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1/2 (pow.f64 x -1/2)) (+.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))))) (+.f64 1 (pow.f64 x -1/2)))))) (/.f64 1 (*.f64 x (+.f64 1 (pow.f64 x -1/2)))))))
(fma.f64 -1 (*.f64 (pow.f64 x 2) (fma.f64 1/8 (/.f64 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (+.f64 (sqrt.f64 (/.f64 1 x)) 1/2)) (+.f64 1 (pow.f64 x -1/2))) (+.f64 (/.f64 1/16 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (/.f64 (+.f64 (pow.f64 x -1/2) 1/2) (/.f64 (+.f64 1 (pow.f64 x -1/2)) (-.f64 (/.f64 1/8 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (neg.f64 (/.f64 (+.f64 (pow.f64 x -1/2) 1/2) (/.f64 (+.f64 1 (pow.f64 x -1/2)) (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (+.f64 (sqrt.f64 (/.f64 1 x)) 1/2))))))))))) (fma.f64 -1 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (+.f64 (sqrt.f64 (/.f64 1 x)) 1/2)) (fma.f64 x (-.f64 (/.f64 1/8 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (neg.f64 (/.f64 (+.f64 (pow.f64 x -1/2) 1/2) (/.f64 (+.f64 1 (pow.f64 x -1/2)) (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (+.f64 (sqrt.f64 (/.f64 1 x)) 1/2)))))) (/.f64 1 (*.f64 x (+.f64 1 (pow.f64 x -1/2)))))))
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(fma.f64 1 (pow.f64 x -1/2) (neg.f64 (pow.f64 (+.f64 x 1) -1/2)))
(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
(fma.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -1/2)) (neg.f64 (pow.f64 (+.f64 x 1) -1/2)))
(fma.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -1/2)) (neg.f64 (pow.f64 (+.f64 1 x) -1/2)))
(-.f64 (/.f64 (cbrt.f64 (pow.f64 x -1/2)) (cbrt.f64 x)) (pow.f64 (+.f64 1 x) -1/2))
(fma.f64 (pow.f64 x -1/4) (pow.f64 x -1/4) (neg.f64 (pow.f64 (+.f64 x 1) -1/2)))
(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 x 1) -1/2))) 1)
(pow.f64 (+.f64 1 x) -1/2)
(*.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 (+.f64 x 1)))))
(/.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x))))
(/.f64 1 (sqrt.f64 (+.f64 1 x)))
(*.f64 1 (pow.f64 (+.f64 x 1) -1/2))
(pow.f64 (+.f64 1 x) -1/2)
(*.f64 (pow.f64 (+.f64 x 1) -1/2) 1)
(pow.f64 (+.f64 1 x) -1/2)
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) -1/2)) (cbrt.f64 (/.f64 1 (+.f64 x 1))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) (cbrt.f64 (/.f64 1 (+.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 x 1))) (cbrt.f64 (pow.f64 (+.f64 x 1) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) (cbrt.f64 (/.f64 1 (+.f64 1 x))))
(*.f64 (pow.f64 (+.f64 x 1) -1/4) (pow.f64 (+.f64 x 1) -1/4))
(pow.f64 (+.f64 1 x) -1/2)
(*.f64 (pow.f64 1 -1/2) (pow.f64 (+.f64 x 1) -1/2))
(pow.f64 (+.f64 1 x) -1/2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) -1/2) (pow.f64 (cbrt.f64 (+.f64 x 1)) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) -1/2) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1/2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) -1) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) -1))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) (/.f64 1 (cbrt.f64 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) 1) (cbrt.f64 (sqrt.f64 (+.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/4) -1) (pow.f64 (pow.f64 (+.f64 x 1) 1/4) -1))
(pow.f64 (pow.f64 (+.f64 1 x) 1/4) -2)
(/.f64 -1 (neg.f64 (sqrt.f64 (+.f64 x 1))))
(/.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x))))
(/.f64 1 (sqrt.f64 (+.f64 1 x)))
(/.f64 1 (sqrt.f64 (+.f64 x 1)))
(/.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x))))
(/.f64 1 (sqrt.f64 (+.f64 1 x)))
(/.f64 1 (neg.f64 (neg.f64 (sqrt.f64 (+.f64 x 1)))))
(/.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x))))
(/.f64 1 (sqrt.f64 (+.f64 1 x)))
(/.f64 (pow.f64 (+.f64 x 1) -1/4) (pow.f64 (+.f64 x 1) 1/4))
(/.f64 (pow.f64 (+.f64 1 x) -1/4) (pow.f64 (+.f64 1 x) 1/4))
(/.f64 (/.f64 1 (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (sqrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 x))))
(/.f64 1 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 (+.f64 1 x))))
(sqrt.f64 (/.f64 1 (+.f64 x 1)))
(sqrt.f64 (/.f64 1 (+.f64 1 x)))
(log.f64 (exp.f64 (pow.f64 (+.f64 x 1) -1/2)))
(pow.f64 (+.f64 1 x) -1/2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 x 1) -1/2))))
(pow.f64 (+.f64 1 x) -1/2)
(cbrt.f64 (pow.f64 (+.f64 x 1) -3/2))
(cbrt.f64 (pow.f64 (+.f64 1 x) -3/2))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 x 1) -1/2)))
(pow.f64 (+.f64 1 x) -1/2)
(exp.f64 (*.f64 -1/2 (log1p.f64 x)))
(pow.f64 (exp.f64 -1/2) (log1p.f64 x))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) -1))
(pow.f64 (exp.f64 -1/2) (log1p.f64 x))
(exp.f64 (*.f64 (*.f64 -1/2 (log1p.f64 x)) 1))
(pow.f64 (exp.f64 -1/2) (log1p.f64 x))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 x 1) -1/2)))
(pow.f64 (+.f64 1 x) -1/2)

eval359.0ms (2.7%)

Compiler

Compiled 13395 to 10425 computations (22.2% saved)

prune268.0ms (2%)

Pruning

36 alts after pruning (34 fresh and 2 done)

PrunedKeptTotal
New66632698
Fresh527
Picked325
Done101
Total67536711
Accuracy
100.0%
Counts
711 → 36
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.6%
(pow.f64 (pow.f64 x -1/2) 3)
87.0%
(pow.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 -1 x) (-.f64 -1 x))) (hypot.f64 (pow.f64 x -1/4) (pow.f64 (+.f64 x 1) -1/4))) 2)
51.6%
(pow.f64 (/.f64 1 x) 3/2)
51.6%
(pow.f64 (sqrt.f64 x) -3)
86.5%
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (/.f64 -1 x) (-.f64 -1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))) 3)
51.6%
(pow.f64 x -3/2)
51.6%
(/.f64 (pow.f64 x -1/2) x)
87.1%
(/.f64 (/.f64 (/.f64 -1 x) (-.f64 -1 x)) (+.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
84.9%
(/.f64 (/.f64 (+.f64 -1 (*.f64 0 x)) (*.f64 x (-.f64 -1 x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (pow.f64 (+.f64 1 x) 1/4) -2)))
84.9%
(/.f64 (/.f64 (+.f64 -1 (*.f64 0 x)) (*.f64 x (-.f64 -1 x))) (+.f64 (pow.f64 x -1/2) (sqrt.f64 (/.f64 1 (+.f64 1 x)))))
50.0%
(/.f64 (/.f64 (+.f64 -1 (*.f64 0 x)) (*.f64 x (-.f64 -1 x))) (sqrt.f64 (/.f64 1 x)))
51.6%
(/.f64 (/.f64 1 x) (sqrt.f64 x))
84.9%
(/.f64 (/.f64 -1 (*.f64 x (-.f64 -1 x))) (+.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
99.6%
(/.f64 (/.f64 -1 x) (*.f64 (-.f64 -1 x) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
44.4%
(/.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (+.f64 1 x))) (sqrt.f64 (/.f64 1 x)))
70.1%
(/.f64 (*.f64 (/.f64 (/.f64 -1 x) (-.f64 1 (pow.f64 x 2))) (+.f64 -1 x)) (+.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
24.1%
(/.f64 (*.f64 (/.f64 (/.f64 -1 x) (-.f64 -1 (pow.f64 x 3))) (+.f64 1 (*.f64 x (+.f64 x -1)))) (+.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
30.1%
(/.f64 (*.f64 (/.f64 -1 (*.f64 x (-.f64 -1 x))) (+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (pow.f64 x -1/2) (sqrt.f64 (+.f64 1 x)))))) (+.f64 (pow.f64 x -3/2) (pow.f64 (+.f64 1 x) -3/2)))
51.6%
(/.f64 1 (pow.f64 (sqrt.f64 x) 3))
51.6%
(/.f64 1 (pow.f64 x 3/2))
51.6%
(/.f64 -1 (*.f64 (neg.f64 x) (sqrt.f64 x)))
98.5%
(/.f64 -1 (*.f64 x (*.f64 (-.f64 -1 x) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))))
45.9%
(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
35.3%
(-.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (+.f64 1 x) -1/2))
44.2%
(+.f64 1 (-.f64 (pow.f64 x -3/2) 1))
51.6%
(*.f64 (pow.f64 x -1/2) (/.f64 1 x))
87.1%
(*.f64 (/.f64 (/.f64 -1 x) (-.f64 -1 x)) (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))
60.0%
(*.f64 (/.f64 (/.f64 -1 x) (*.f64 (+.f64 (pow.f64 x -3/2) (pow.f64 (+.f64 1 x) -3/2)) (-.f64 -1 x))) (-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (/.f64 (pow.f64 x -1/2) (sqrt.f64 (+.f64 1 x)))))
86.5%
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))) 2)) (/.f64 (/.f64 (/.f64 -1 x) (-.f64 -1 x)) (cbrt.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))))
51.6%
(*.f64 (*.f64 (/.f64 1 x) (pow.f64 x -1/4)) (pow.f64 x -1/4))
69.7%
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 (/.f64 -1 x) (-.f64 -1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))) 2)) (cbrt.f64 (/.f64 (/.f64 (/.f64 -1 x) (-.f64 -1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))))
84.9%
(*.f64 -1 (/.f64 1 (*.f64 (*.f64 x (-.f64 -1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))))
47.9%
(sqrt.f64 (pow.f64 (/.f64 1 x) 3))
47.9%
(sqrt.f64 (pow.f64 x -3))
47.8%
(sqrt.f64 (/.f64 1 (pow.f64 x 3)))
51.6%
(exp.f64 (*.f64 (*.f64 -1/2 (log.f64 x)) 3))
Compiler

Compiled 1118 to 889 computations (20.5% saved)

localize908.0ms (6.8%)

Localize:

Found 13 expressions with local error:

NewAccuracyProgram
100.0%
(+.f64 (pow.f64 x -1/2) (pow.f64 (pow.f64 (+.f64 1 x) 1/4) -2))
99.1%
(pow.f64 (pow.f64 (+.f64 1 x) 1/4) -2)
98.2%
(/.f64 (+.f64 -1 (*.f64 0 x)) (*.f64 x (-.f64 -1 x)))
87.2%
(/.f64 (/.f64 (+.f64 -1 (*.f64 0 x)) (*.f64 x (-.f64 -1 x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (pow.f64 (+.f64 1 x) 1/4) -2)))
100.0%
(pow.f64 (+.f64 1 x) -1/2)
45.9%
(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
99.8%
(sqrt.f64 (/.f64 1 x))
87.2%
(/.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (+.f64 1 x))) (sqrt.f64 (/.f64 1 x)))
59.5%
(+.f64 (/.f64 1 x) (/.f64 -1 (+.f64 1 x)))
100.0%
(pow.f64 (+.f64 1 x) -1/2)
100.0%
(+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
99.7%
(/.f64 (/.f64 -1 x) (*.f64 (-.f64 -1 x) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
99.5%
(*.f64 (-.f64 -1 x) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
Compiler

Compiled 217 to 164 computations (24.4% saved)

series35.0ms (0.3%)

Counts
8 → 84
Calls

24 calls:

TimeVariablePointExpression
8.0ms
x
@-inf
(/.f64 (/.f64 (+.f64 -1 (*.f64 0 x)) (*.f64 x (-.f64 -1 x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (pow.f64 (+.f64 1 x) 1/4) -2)))
6.0ms
x
@inf
(/.f64 (/.f64 (+.f64 -1 (*.f64 0 x)) (*.f64 x (-.f64 -1 x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (pow.f64 (+.f64 1 x) 1/4) -2)))
4.0ms
x
@-inf
(/.f64 (/.f64 -1 x) (*.f64 (-.f64 -1 x) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
3.0ms
x
@-inf
(/.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (+.f64 1 x))) (sqrt.f64 (/.f64 1 x)))
2.0ms
x
@inf
(/.f64 (/.f64 -1 x) (*.f64 (-.f64 -1 x) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))

rewrite116.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
342×associate-*r*
336×frac-times
239×log1p-expm1-u
238×expm1-log1p-u
228×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034327
1610319
Stop Event
node limit
Counts
8 → 350
Calls
Call 1
Inputs
(*.f64 (-.f64 -1 x) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(/.f64 (/.f64 -1 x) (*.f64 (-.f64 -1 x) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
(/.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (+.f64 1 x))) (sqrt.f64 (/.f64 1 x)))
(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
(/.f64 (/.f64 (+.f64 -1 (*.f64 0 x)) (*.f64 x (-.f64 -1 x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (pow.f64 (+.f64 1 x) 1/4) -2)))
(pow.f64 (pow.f64 (+.f64 1 x) 1/4) -2)
(+.f64 (pow.f64 x -1/2) (pow.f64 (pow.f64 (+.f64 1 x) 1/4) -2))
Outputs
(+.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) (*.f64 x (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))
(+.f64 (*.f64 (+.f64 -1 x) (pow.f64 x -1/2)) (*.f64 (+.f64 -1 x) (pow.f64 (+.f64 x 1) -1/2)))
(+.f64 (*.f64 (+.f64 -1 x) (pow.f64 (+.f64 x 1) -1/2)) (*.f64 (+.f64 -1 x) (pow.f64 x -1/2)))
(+.f64 (neg.f64 (*.f64 (+.f64 -1 x) (pow.f64 x -1/2))) (neg.f64 (*.f64 (+.f64 -1 x) (pow.f64 (+.f64 x 1) -1/2))))
(+.f64 (*.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) -1) (*.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) x))
(+.f64 (*.f64 (*.f64 (+.f64 -1 x) (pow.f64 x -1/2)) 1) (*.f64 (*.f64 (+.f64 -1 x) (pow.f64 (+.f64 x 1) -1/2)) 1))
(-.f64 0 (*.f64 (+.f64 -1 x) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 -1 x) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))) 1)
(/.f64 (*.f64 (-.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x -3/2) (pow.f64 (+.f64 x 1) -3/2))) (*.f64 (+.f64 1 (fma.f64 x x x)) (+.f64 (/.f64 -1 x) (-.f64 (/.f64 1 (+.f64 x 1)) (pow.f64 (fma.f64 x x x) -1/2)))))
(/.f64 (*.f64 (-.f64 -1 (pow.f64 x 3)) (+.f64 (/.f64 -1 x) (/.f64 -1 (+.f64 x 1)))) (*.f64 (+.f64 1 (fma.f64 x x x)) (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 2)) (+.f64 (pow.f64 x -3/2) (pow.f64 (+.f64 x 1) -3/2))) (*.f64 (+.f64 -1 x) (+.f64 (/.f64 -1 x) (-.f64 (/.f64 1 (+.f64 x 1)) (pow.f64 (fma.f64 x x x) -1/2)))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 -1 x) (/.f64 -1 (+.f64 x 1)))) (*.f64 (+.f64 -1 x) (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))
(/.f64 (*.f64 (+.f64 (pow.f64 x -3/2) (pow.f64 (+.f64 x 1) -3/2)) (-.f64 -1 (pow.f64 x 3))) (*.f64 (+.f64 (/.f64 -1 x) (-.f64 (/.f64 1 (+.f64 x 1)) (pow.f64 (fma.f64 x x x) -1/2))) (+.f64 1 (fma.f64 x x x))))
(/.f64 (*.f64 (+.f64 (pow.f64 x -3/2) (pow.f64 (+.f64 x 1) -3/2)) (+.f64 1 (pow.f64 x 2))) (*.f64 (+.f64 (/.f64 -1 x) (-.f64 (/.f64 1 (+.f64 x 1)) (pow.f64 (fma.f64 x x x) -1/2))) (+.f64 -1 x)))
(/.f64 (*.f64 (+.f64 (/.f64 -1 x) (/.f64 -1 (+.f64 x 1))) (-.f64 -1 (pow.f64 x 3))) (*.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) (+.f64 1 (fma.f64 x x x))))
(/.f64 (*.f64 (+.f64 (/.f64 -1 x) (/.f64 -1 (+.f64 x 1))) (+.f64 1 (pow.f64 x 2))) (*.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) (+.f64 -1 x)))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 -1 x) (pow.f64 x -1/2)) 3) (pow.f64 (*.f64 (+.f64 -1 x) (pow.f64 (+.f64 x 1) -1/2)) 3)) (+.f64 (*.f64 (*.f64 (+.f64 -1 x) (pow.f64 x -1/2)) (*.f64 (+.f64 -1 x) (pow.f64 x -1/2))) (-.f64 (*.f64 (*.f64 (+.f64 -1 x) (pow.f64 (+.f64 x 1) -1/2)) (*.f64 (+.f64 -1 x) (pow.f64 (+.f64 x 1) -1/2))) (*.f64 (*.f64 (+.f64 -1 x) (pow.f64 x -1/2)) (*.f64 (+.f64 -1 x) (pow.f64 (+.f64 x 1) -1/2))))))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 -1 x) (pow.f64 x -1/2)) (*.f64 (+.f64 -1 x) (pow.f64 x -1/2))) (*.f64 (*.f64 (+.f64 -1 x) (pow.f64 (+.f64 x 1) -1/2)) (*.f64 (+.f64 -1 x) (pow.f64 (+.f64 x 1) -1/2)))) (-.f64 (*.f64 (+.f64 -1 x) (pow.f64 x -1/2)) (*.f64 (+.f64 -1 x) (pow.f64 (+.f64 x 1) -1/2))))
(/.f64 (*.f64 (+.f64 -1 x) (+.f64 (pow.f64 x -3/2) (pow.f64 (+.f64 x 1) -3/2))) (+.f64 (/.f64 -1 x) (-.f64 (/.f64 1 (+.f64 x 1)) (pow.f64 (fma.f64 x x x) -1/2))))
(/.f64 (*.f64 (+.f64 -1 x) (+.f64 (/.f64 -1 x) (/.f64 -1 (+.f64 x 1)))) (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))
(/.f64 (*.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) (-.f64 -1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(/.f64 (*.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) (+.f64 1 (pow.f64 x 2))) (+.f64 -1 x))
(/.f64 (*.f64 (-.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))) (+.f64 1 (fma.f64 x x x)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 2)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))) (+.f64 -1 x))
(/.f64 (*.f64 (+.f64 (pow.f64 x -3/2) (pow.f64 (+.f64 x 1) -3/2)) (+.f64 -1 x)) (+.f64 (/.f64 -1 x) (-.f64 (/.f64 1 (+.f64 x 1)) (pow.f64 (fma.f64 x x x) -1/2))))
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(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) 1) (/.f64 (/.f64 -1 (cbrt.f64 x)) (*.f64 (+.f64 -1 x) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))))
(*.f64 (/.f64 (pow.f64 x -1/2) (+.f64 -1 x)) (/.f64 (pow.f64 x -1/2) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))
(*.f64 (/.f64 -1 (cbrt.f64 (pow.f64 (*.f64 (+.f64 -1 x) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))) 2))) (/.f64 (/.f64 -1 x) (cbrt.f64 (*.f64 (+.f64 -1 x) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))))
(*.f64 (/.f64 -1 (*.f64 (sqrt.f64 (+.f64 -1 x)) (hypot.f64 (pow.f64 x -1/4) (pow.f64 (+.f64 x 1) -1/4)))) (/.f64 (/.f64 -1 x) (*.f64 (sqrt.f64 (+.f64 -1 x)) (hypot.f64 (pow.f64 x -1/4) (pow.f64 (+.f64 x 1) -1/4)))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (*.f64 (+.f64 -1 x) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))) 2))) (/.f64 (/.f64 -1 x) (cbrt.f64 (*.f64 (+.f64 -1 x) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))))
(*.f64 (/.f64 1 (*.f64 (sqrt.f64 (+.f64 -1 x)) (hypot.f64 (pow.f64 x -1/4) (pow.f64 (+.f64 x 1) -1/4)))) (/.f64 (/.f64 -1 x) (*.f64 (sqrt.f64 (+.f64 -1 x)) (hypot.f64 (pow.f64 x -1/4) (pow.f64 (+.f64 x 1) -1/4)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (+.f64 -1 x)) (/.f64 (/.f64 -1 (cbrt.f64 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))) (/.f64 (/.f64 -1 (cbrt.f64 x)) (+.f64 -1 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (pow.f64 (*.f64 (+.f64 -1 x) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))) 2))) (cbrt.f64 (/.f64 -1 (*.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) (fma.f64 x x x)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (sqrt.f64 (+.f64 -1 x)) (hypot.f64 (pow.f64 x -1/4) (pow.f64 (+.f64 x 1) -1/4)))) (/.f64 (/.f64 -1 (cbrt.f64 x)) (*.f64 (sqrt.f64 (+.f64 -1 x)) (hypot.f64 (pow.f64 x -1/4) (pow.f64 (+.f64 x 1) -1/4)))))
(*.f64 (/.f64 (pow.f64 x -1/2) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))) (/.f64 (pow.f64 x -1/2) (+.f64 -1 x)))
(*.f64 (/.f64 (pow.f64 x -1/2) (cbrt.f64 (pow.f64 (*.f64 (+.f64 -1 x) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))) 2))) (/.f64 (pow.f64 x -1/2) (cbrt.f64 (*.f64 (+.f64 -1 x) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))))
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))) 2)) (/.f64 (/.f64 -1 (fma.f64 x x x)) (cbrt.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))))
(*.f64 (/.f64 -1 (hypot.f64 (pow.f64 x -1/4) (pow.f64 (+.f64 x 1) -1/4))) (/.f64 (/.f64 -1 (fma.f64 x x x)) (hypot.f64 (pow.f64 x -1/4) (pow.f64 (+.f64 x 1) -1/4))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))) 2)) (/.f64 (/.f64 -1 (fma.f64 x x x)) (cbrt.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))))
(*.f64 (/.f64 1 (hypot.f64 (pow.f64 x -1/4) (pow.f64 (+.f64 x 1) -1/4))) (/.f64 (/.f64 -1 (fma.f64 x x x)) (hypot.f64 (pow.f64 x -1/4) (pow.f64 (+.f64 x 1) -1/4))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 -1 (pow.f64 (fma.f64 x x x) 2))) 1) (/.f64 (/.f64 -1 (cbrt.f64 (fma.f64 x x x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 -1 (pow.f64 (fma.f64 x x x) 2))) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))) 2)) (cbrt.f64 (/.f64 -1 (*.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) (fma.f64 x x x)))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 -1 (pow.f64 (fma.f64 x x x) 2))) (hypot.f64 (pow.f64 x -1/4) (pow.f64 (+.f64 x 1) -1/4))) (/.f64 (/.f64 -1 (cbrt.f64 (fma.f64 x x x))) (hypot.f64 (pow.f64 x -1/4) (pow.f64 (+.f64 x 1) -1/4))))
(*.f64 (/.f64 (/.f64 1 (sqrt.f64 (fma.f64 x x x))) 1) (/.f64 (/.f64 1 (sqrt.f64 (fma.f64 x x x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))
(*.f64 (/.f64 (/.f64 1 (sqrt.f64 (fma.f64 x x x))) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))) 2)) (/.f64 (/.f64 1 (sqrt.f64 (fma.f64 x x x))) (cbrt.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))))
(*.f64 (/.f64 (pow.f64 x -1/2) 1) (/.f64 (pow.f64 x -1/2) (*.f64 (+.f64 -1 x) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))))
(*.f64 (/.f64 (/.f64 -1 (fma.f64 x x x)) (+.f64 (pow.f64 x -3/2) (pow.f64 (+.f64 x 1) -3/2))) (+.f64 (/.f64 -1 x) (-.f64 (/.f64 1 (+.f64 x 1)) (pow.f64 (fma.f64 x x x) -1/2))))
(*.f64 (/.f64 (/.f64 -1 (fma.f64 x x x)) (+.f64 (/.f64 -1 x) (/.f64 -1 (+.f64 x 1)))) (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))
(pow.f64 (/.f64 -1 (*.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) (fma.f64 x x x))) 1)
(pow.f64 (cbrt.f64 (/.f64 -1 (*.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) (fma.f64 x x x)))) 3)
(pow.f64 (pow.f64 (/.f64 -1 (*.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) (fma.f64 x x x))) 3) 1/3)
(pow.f64 (/.f64 (/.f64 1 (sqrt.f64 (fma.f64 x x x))) (hypot.f64 (pow.f64 x -1/4) (pow.f64 (+.f64 x 1) -1/4))) 2)
(pow.f64 (*.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) (fma.f64 x x x)) -1)
(neg.f64 (/.f64 -1 (*.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) (fma.f64 x x x))))
(sqrt.f64 (pow.f64 (/.f64 -1 (*.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) (fma.f64 x x x))) 2))
(log.f64 (exp.f64 (/.f64 -1 (*.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) (fma.f64 x x x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (*.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) (fma.f64 x x x))))))
(cbrt.f64 (pow.f64 (/.f64 -1 (*.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) (fma.f64 x x x))) 3))
(cbrt.f64 (/.f64 (pow.f64 x -3) (pow.f64 (*.f64 (+.f64 -1 x) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 -1 (fma.f64 x x x)) 3) (pow.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 -1 (*.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) (fma.f64 x x x)))))
(exp.f64 (neg.f64 (log.f64 (*.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) (fma.f64 x x x)))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) (fma.f64 x x x)))) 1))
(log1p.f64 (expm1.f64 (/.f64 -1 (*.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) (fma.f64 x x x)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 x 1) -1/2))) 1)
(*.f64 1 (pow.f64 (+.f64 x 1) -1/2))
(*.f64 (pow.f64 (+.f64 x 1) -1/2) 1)
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) -1/2)) (cbrt.f64 (/.f64 1 (+.f64 x 1))))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 x 1))) (cbrt.f64 (pow.f64 (+.f64 x 1) -1/2)))
(*.f64 (pow.f64 (+.f64 x 1) -1/4) (pow.f64 (+.f64 x 1) -1/4))
(*.f64 (pow.f64 1 -1/2) (pow.f64 (+.f64 x 1) -1/2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) -1/2) (pow.f64 (cbrt.f64 (+.f64 x 1)) -1/2))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) -1/2) (pow.f64 (sqrt.f64 (+.f64 x 1)) -1/2))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) -2) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 1/4)) -2))
(*.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/8) -2) (pow.f64 (pow.f64 (+.f64 x 1) 1/8) -2))
(sqrt.f64 (/.f64 1 (+.f64 x 1)))
(log.f64 (exp.f64 (pow.f64 (+.f64 x 1) -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 x 1) -1/2))))
(cbrt.f64 (pow.f64 (+.f64 x 1) -3/2))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 x 1) -1/2)))
(exp.f64 (*.f64 -1/2 (log1p.f64 x)))
(exp.f64 (*.f64 (*.f64 -1/2 (log1p.f64 x)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 x 1) -1/2)))
(-.f64 0 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))) 1)
(-.f64 (/.f64 (/.f64 -1 x) (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))) (/.f64 (/.f64 1 (+.f64 x 1)) (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))
(*.f64 -1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))
(*.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))
(*.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) 1)
(*.f64 (+.f64 (/.f64 -1 x) (/.f64 -1 (+.f64 x 1))) (/.f64 1 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))
(*.f64 (cbrt.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))) 2) (cbrt.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))) 2) (neg.f64 (cbrt.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))))
(*.f64 (hypot.f64 (pow.f64 x -1/4) (pow.f64 (+.f64 x 1) -1/4)) (hypot.f64 (pow.f64 x -1/4) (pow.f64 (+.f64 x 1) -1/4)))
(*.f64 (hypot.f64 (pow.f64 x -1/4) (pow.f64 (+.f64 x 1) -1/4)) (neg.f64 (hypot.f64 (pow.f64 x -1/4) (pow.f64 (+.f64 x 1) -1/4))))
(*.f64 (+.f64 (pow.f64 x -3/2) (pow.f64 (+.f64 x 1) -3/2)) (/.f64 1 (+.f64 (/.f64 -1 x) (-.f64 (/.f64 1 (+.f64 x 1)) (pow.f64 (fma.f64 x x x) -1/2)))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))) 2)) (cbrt.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))
(*.f64 (neg.f64 (hypot.f64 (pow.f64 x -1/4) (pow.f64 (+.f64 x 1) -1/4))) (hypot.f64 (pow.f64 x -1/4) (pow.f64 (+.f64 x 1) -1/4)))
(*.f64 (/.f64 (+.f64 (/.f64 -1 x) (/.f64 -1 (+.f64 x 1))) (+.f64 (/.f64 -1 x) (/.f64 -1 (+.f64 x 1)))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))
(*.f64 (/.f64 (+.f64 (/.f64 -1 x) (/.f64 -1 (+.f64 x 1))) (-.f64 (pow.f64 x -3/2) (pow.f64 (+.f64 x 1) -3/2))) (+.f64 (/.f64 -1 x) (+.f64 (/.f64 1 (+.f64 x 1)) (pow.f64 (fma.f64 x x x) -1/2))))
(/.f64 1 (/.f64 (+.f64 (/.f64 -1 x) (-.f64 (/.f64 1 (+.f64 x 1)) (pow.f64 (fma.f64 x x x) -1/2))) (+.f64 (pow.f64 x -3/2) (pow.f64 (+.f64 x 1) -3/2))))
(/.f64 1 (/.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) (+.f64 (/.f64 -1 x) (/.f64 -1 (+.f64 x 1)))))
(/.f64 (+.f64 (/.f64 -1 x) (/.f64 -1 (+.f64 x 1))) (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))
(/.f64 (+.f64 (/.f64 -1 x) (/.f64 -1 (+.f64 x 1))) (neg.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))
(/.f64 (+.f64 (pow.f64 x -3/2) (pow.f64 (+.f64 x 1) -3/2)) (+.f64 (/.f64 -1 x) (-.f64 (/.f64 1 (+.f64 x 1)) (pow.f64 (fma.f64 x x x) -1/2))))
(/.f64 (+.f64 (pow.f64 x -3/2) (pow.f64 (+.f64 x 1) -3/2)) (+.f64 (/.f64 1 (+.f64 x 1)) (-.f64 (/.f64 -1 x) (pow.f64 (fma.f64 x x x) -1/2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x -3/2) (pow.f64 (+.f64 x 1) -3/2))) (+.f64 (/.f64 -1 x) (-.f64 (/.f64 1 (+.f64 x 1)) (pow.f64 (fma.f64 x x x) -1/2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x -3/2) (pow.f64 (+.f64 x 1) -3/2))) (neg.f64 (+.f64 (/.f64 -1 x) (-.f64 (/.f64 1 (+.f64 x 1)) (pow.f64 (fma.f64 x x x) -1/2)))))
(/.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 -1 x)) (-.f64 (pow.f64 (+.f64 x 1) -1/2) (pow.f64 x -1/2)))
(/.f64 (/.f64 (+.f64 (/.f64 -1 x) (/.f64 -1 (+.f64 x 1))) 1) (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))
(/.f64 (/.f64 (+.f64 (/.f64 -1 x) (/.f64 -1 (+.f64 x 1))) (cbrt.f64 (pow.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) 2))) (cbrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))
(/.f64 (/.f64 (+.f64 (/.f64 -1 x) (/.f64 -1 (+.f64 x 1))) (sqrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))) (sqrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))
(pow.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) 1)
(pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))) 3)
(pow.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) 3) 1/3)
(pow.f64 (hypot.f64 (pow.f64 x -1/4) (pow.f64 (+.f64 x 1) -1/4)) 2)
(neg.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))
(sqrt.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) 2))
(log.f64 (exp.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))))
(log.f64 (/.f64 1 (exp.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))))
(cbrt.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) 3))
(expm1.f64 (log1p.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))
(exp.f64 (log.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))
(exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))) 1))
(log1p.f64 (expm1.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))
(fma.f64 1 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))
(fma.f64 1 (pow.f64 (+.f64 x 1) -1/2) (pow.f64 x -1/2))
(fma.f64 (cbrt.f64 (/.f64 1 (+.f64 x 1))) (cbrt.f64 (pow.f64 (+.f64 x 1) -1/2)) (pow.f64 x -1/2))
(fma.f64 (/.f64 -1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -1/2)) (pow.f64 (+.f64 x 1) -1/2))
(fma.f64 (pow.f64 x -1/4) (pow.f64 x -1/4) (pow.f64 (+.f64 x 1) -1/2))
(fma.f64 (pow.f64 (+.f64 x 1) -1/4) (pow.f64 (+.f64 x 1) -1/4) (pow.f64 x -1/2))

simplify289.0ms (2.1%)

Algorithm
egg-herbie
Rules
1564×fma-def
1026×distribute-rgt-in
1010×distribute-lft-in
734×times-frac
660×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
096739164
1301936963
Stop Event
node limit
Counts
434 → 607
Calls
Call 1
Inputs
(*.f64 -1 (+.f64 1 (pow.f64 x -1/2)))
(+.f64 (*.f64 -1 (*.f64 x (+.f64 1/2 (pow.f64 x -1/2)))) (*.f64 -1 (+.f64 1 (pow.f64 x -1/2))))
(+.f64 (*.f64 -1 (*.f64 x (+.f64 1/2 (pow.f64 x -1/2)))) (+.f64 (*.f64 -1 (+.f64 1 (pow.f64 x -1/2))) (*.f64 1/8 (pow.f64 x 2))))
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(fma.f64 1 (pow.f64 (+.f64 x 1) -1/2) (pow.f64 x -1/2))
(fma.f64 (cbrt.f64 (/.f64 1 (+.f64 x 1))) (cbrt.f64 (pow.f64 (+.f64 x 1) -1/2)) (pow.f64 x -1/2))
(fma.f64 (/.f64 -1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -1/2)) (pow.f64 (+.f64 x 1) -1/2))
(fma.f64 (pow.f64 x -1/4) (pow.f64 x -1/4) (pow.f64 (+.f64 x 1) -1/2))
(fma.f64 (pow.f64 (+.f64 x 1) -1/4) (pow.f64 (+.f64 x 1) -1/4) (pow.f64 x -1/2))
Outputs
(*.f64 -1 (+.f64 1 (pow.f64 x -1/2)))
(neg.f64 (+.f64 1 (pow.f64 x -1/2)))
(+.f64 -1 (neg.f64 (pow.f64 x -1/2)))
(+.f64 (*.f64 -1 (*.f64 x (+.f64 1/2 (pow.f64 x -1/2)))) (*.f64 -1 (+.f64 1 (pow.f64 x -1/2))))
(*.f64 -1 (+.f64 (*.f64 x (+.f64 (pow.f64 x -1/2) 1/2)) (+.f64 1 (pow.f64 x -1/2))))
(-.f64 (+.f64 -1 (neg.f64 (pow.f64 x -1/2))) (fma.f64 x 1/2 (pow.f64 x 1/2)))
(+.f64 (*.f64 -1 (*.f64 x (+.f64 1/2 (pow.f64 x -1/2)))) (+.f64 (*.f64 -1 (+.f64 1 (pow.f64 x -1/2))) (*.f64 1/8 (pow.f64 x 2))))
(fma.f64 -1 (*.f64 x (+.f64 (pow.f64 x -1/2) 1/2)) (fma.f64 -1 (+.f64 1 (pow.f64 x -1/2)) (*.f64 1/8 (pow.f64 x 2))))
(-.f64 (-.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 1 (pow.f64 x -1/2))) (fma.f64 x 1/2 (pow.f64 x 1/2)))
(+.f64 (*.f64 -1 (*.f64 x (+.f64 1/2 (pow.f64 x -1/2)))) (+.f64 (*.f64 -1 (+.f64 1 (pow.f64 x -1/2))) (+.f64 (*.f64 -1/16 (pow.f64 x 3)) (*.f64 1/8 (pow.f64 x 2)))))
(fma.f64 -1 (*.f64 x (+.f64 (pow.f64 x -1/2) 1/2)) (fma.f64 -1 (+.f64 1 (pow.f64 x -1/2)) (fma.f64 -1/16 (pow.f64 x 3) (*.f64 1/8 (pow.f64 x 2)))))
(-.f64 (-.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 -1/16 (pow.f64 x 3))) (+.f64 1 (pow.f64 x -1/2))) (fma.f64 x 1/2 (pow.f64 x 1/2)))
(*.f64 -2 (sqrt.f64 x))
(+.f64 (*.f64 -2 (sqrt.f64 x)) (*.f64 -1 (+.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 x))) (*.f64 2 (sqrt.f64 (/.f64 1 x))))))
(fma.f64 -2 (sqrt.f64 x) (neg.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) 3/2)))
(fma.f64 -2 (sqrt.f64 x) (*.f64 (sqrt.f64 (/.f64 1 x)) -3/2))
(+.f64 (*.f64 -2 (sqrt.f64 x)) (+.f64 (*.f64 -1 (+.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 x))) (*.f64 2 (sqrt.f64 (/.f64 1 x))))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 x))) (*.f64 3/8 (sqrt.f64 (/.f64 1 x)))) x))))
(fma.f64 -2 (sqrt.f64 x) (fma.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 x)) 3/2) (neg.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) -1/8) x))))
(-.f64 (fma.f64 -2 (sqrt.f64 x) (*.f64 (sqrt.f64 (/.f64 1 x)) -3/2)) (/.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) -1/8) x))
(+.f64 (*.f64 -2 (sqrt.f64 x)) (+.f64 (*.f64 -1 (+.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 x))) (*.f64 2 (sqrt.f64 (/.f64 1 x))))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 x))) (*.f64 3/8 (sqrt.f64 (/.f64 1 x)))) x)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -5/16 (sqrt.f64 (/.f64 1 x))) (*.f64 3/8 (sqrt.f64 (/.f64 1 x)))) (pow.f64 x 2))))))
(fma.f64 -2 (sqrt.f64 x) (fma.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 x)) 3/2) (*.f64 -1 (+.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) -1/8) x) (/.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) 1/16) (pow.f64 x 2))))))
(fma.f64 -2 (sqrt.f64 x) (-.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) -3/2) (/.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) -1/8) x)) (/.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) 1/16) (pow.f64 x 2))))
(*.f64 -2 (*.f64 x (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))))))
(*.f64 -2 (*.f64 x (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))))))
(*.f64 (*.f64 -2 x) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))
(+.f64 (*.f64 -2 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))))) (+.f64 (*.f64 -2 (*.f64 x (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))))) (*.f64 1/2 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))))))
(fma.f64 -2 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) (fma.f64 -2 (*.f64 x (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))))) (*.f64 1/2 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))))))
(+.f64 (*.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) -3/2) (*.f64 (*.f64 -2 x) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))
(+.f64 (*.f64 -2 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))))) (+.f64 (*.f64 -2 (*.f64 x (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))))) (*.f64 3/8 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))))) x)) (*.f64 1/2 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))))))))
(fma.f64 -2 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) (fma.f64 -2 (*.f64 x (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))))) (fma.f64 -1 (/.f64 (*.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) -1/8) x) (*.f64 1/2 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))))))))
(+.f64 (+.f64 (*.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) -3/2) (*.f64 (*.f64 -2 x) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (/.f64 (neg.f64 (*.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) -1/8)) x))
(+.f64 (*.f64 -2 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))))) (+.f64 (*.f64 -2 (*.f64 x (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))))) (*.f64 3/8 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))))) x)) (+.f64 (*.f64 -3/8 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 2))) (+.f64 (*.f64 5/16 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 2))) (*.f64 1/2 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))))))))))
(fma.f64 -2 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) (fma.f64 -2 (*.f64 x (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))))) (fma.f64 -1 (/.f64 (*.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) -1/8) x) (fma.f64 -3/8 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) (pow.f64 x 2)) (fma.f64 5/16 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) (pow.f64 x 2)) (*.f64 1/2 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))))))))))
(+.f64 (*.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (+.f64 -2 (*.f64 -2 x))) (-.f64 (+.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (pow.f64 x 2)) -1/16) (*.f64 1/2 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (/.f64 (*.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) -1/8) x)))
(/.f64 1 (*.f64 x (+.f64 1 (pow.f64 x -1/2))))
(/.f64 (/.f64 1 x) (+.f64 1 (pow.f64 x -1/2)))
(/.f64 1 (+.f64 x (pow.f64 x 1/2)))
(+.f64 (*.f64 -1 (+.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))))) (/.f64 1 (*.f64 x (+.f64 1 (pow.f64 x -1/2)))))
(fma.f64 -1 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (+.f64 (sqrt.f64 (/.f64 1 x)) 1/2)) (/.f64 (/.f64 1 x) (+.f64 1 (pow.f64 x -1/2))))
(-.f64 (/.f64 1 (+.f64 x (pow.f64 x 1/2))) (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (+.f64 (sqrt.f64 (/.f64 1 x)) 1/2)))
(+.f64 (*.f64 -1 (+.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))))) (+.f64 (*.f64 x (-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1/2 (pow.f64 x -1/2)) (+.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))))) (+.f64 1 (pow.f64 x -1/2)))))) (/.f64 1 (*.f64 x (+.f64 1 (pow.f64 x -1/2))))))
(fma.f64 -1 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (+.f64 (sqrt.f64 (/.f64 1 x)) 1/2)) (fma.f64 x (-.f64 (/.f64 1/8 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (neg.f64 (/.f64 (+.f64 (pow.f64 x -1/2) 1/2) (/.f64 (+.f64 1 (pow.f64 x -1/2)) (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (+.f64 (sqrt.f64 (/.f64 1 x)) 1/2)))))) (/.f64 (/.f64 1 x) (+.f64 1 (pow.f64 x -1/2)))))
(-.f64 (fma.f64 x (+.f64 (/.f64 1/8 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (/.f64 (+.f64 (pow.f64 x -1/2) 1/2) (/.f64 (+.f64 1 (pow.f64 x -1/2)) (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (+.f64 (sqrt.f64 (/.f64 1 x)) 1/2))))) (/.f64 1 (+.f64 x (pow.f64 x 1/2)))) (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (+.f64 (sqrt.f64 (/.f64 1 x)) 1/2)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 1/8 (/.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))) (+.f64 1 (pow.f64 x -1/2)))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (/.f64 (*.f64 (+.f64 1/2 (pow.f64 x -1/2)) (-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1/2 (pow.f64 x -1/2)) (+.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))))) (+.f64 1 (pow.f64 x -1/2)))))) (+.f64 1 (pow.f64 x -1/2))))))) (+.f64 (*.f64 -1 (+.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))))) (+.f64 (*.f64 x (-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1/2 (pow.f64 x -1/2)) (+.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))))) (+.f64 1 (pow.f64 x -1/2)))))) (/.f64 1 (*.f64 x (+.f64 1 (pow.f64 x -1/2)))))))
(fma.f64 -1 (*.f64 (pow.f64 x 2) (fma.f64 1/8 (/.f64 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (+.f64 (sqrt.f64 (/.f64 1 x)) 1/2)) (+.f64 1 (pow.f64 x -1/2))) (+.f64 (/.f64 1/16 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (/.f64 (+.f64 (pow.f64 x -1/2) 1/2) (/.f64 (+.f64 1 (pow.f64 x -1/2)) (-.f64 (/.f64 1/8 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (neg.f64 (/.f64 (+.f64 (pow.f64 x -1/2) 1/2) (/.f64 (+.f64 1 (pow.f64 x -1/2)) (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (+.f64 (sqrt.f64 (/.f64 1 x)) 1/2))))))))))) (fma.f64 -1 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (+.f64 (sqrt.f64 (/.f64 1 x)) 1/2)) (fma.f64 x (-.f64 (/.f64 1/8 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (neg.f64 (/.f64 (+.f64 (pow.f64 x -1/2) 1/2) (/.f64 (+.f64 1 (pow.f64 x -1/2)) (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (+.f64 (sqrt.f64 (/.f64 1 x)) 1/2)))))) (/.f64 (/.f64 1 x) (+.f64 1 (pow.f64 x -1/2))))))
(-.f64 (-.f64 (fma.f64 x (+.f64 (/.f64 1/8 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (/.f64 (+.f64 (pow.f64 x -1/2) 1/2) (/.f64 (+.f64 1 (pow.f64 x -1/2)) (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (+.f64 (sqrt.f64 (/.f64 1 x)) 1/2))))) (/.f64 1 (+.f64 x (pow.f64 x 1/2)))) (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (+.f64 (sqrt.f64 (/.f64 1 x)) 1/2))) (*.f64 (pow.f64 x 2) (+.f64 (fma.f64 1/8 (/.f64 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (+.f64 (sqrt.f64 (/.f64 1 x)) 1/2)) (+.f64 1 (pow.f64 x -1/2))) (/.f64 1/16 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (/.f64 (+.f64 (pow.f64 x -1/2) 1/2) (/.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (/.f64 1/8 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (/.f64 (+.f64 (pow.f64 x -1/2) 1/2) (/.f64 (+.f64 1 (pow.f64 x -1/2)) (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (+.f64 (sqrt.f64 (/.f64 1 x)) 1/2))))))))))
(*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))
(+.f64 (*.f64 -1/4 (/.f64 (+.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 x))) (*.f64 2 (sqrt.f64 (/.f64 1 x)))) (pow.f64 x 2))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))
(fma.f64 -1/4 (/.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) 3/2) (pow.f64 x 2)) (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (pow.f64 x 3)) (pow.f64 (+.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 x))) (*.f64 2 (sqrt.f64 (/.f64 1 x)))) 2))) (*.f64 1/4 (*.f64 x (+.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 x))) (*.f64 3/8 (sqrt.f64 (/.f64 1 x))))))) (pow.f64 x 4))) (+.f64 (*.f64 -1/4 (/.f64 (+.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 x))) (*.f64 2 (sqrt.f64 (/.f64 1 x)))) (pow.f64 x 2))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))
(fma.f64 -1 (/.f64 (fma.f64 -1/8 (*.f64 (sqrt.f64 (pow.f64 x 3)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) 3/2) 2)) (*.f64 1/4 (*.f64 x (*.f64 (sqrt.f64 (/.f64 1 x)) -1/8)))) (pow.f64 x 4)) (fma.f64 -1/4 (/.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) 3/2) (pow.f64 x 2)) (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))
(-.f64 (fma.f64 -1/4 (/.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) 3/2) (pow.f64 x 2)) (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (/.f64 (fma.f64 -1/8 (*.f64 (fabs.f64 (pow.f64 x 3/2)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) 3/2) 2)) (*.f64 1/4 (*.f64 x (*.f64 (sqrt.f64 (/.f64 1 x)) -1/8)))) (pow.f64 x 4)))
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(sqrt.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) 2))
(sqrt.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) 2))
(fabs.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(log.f64 (exp.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))
(+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))))
(+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
(log.f64 (/.f64 1 (exp.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))))
(neg.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(-.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 (+.f64 1 x) -1/2))
(cbrt.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) 3))
(+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
(expm1.f64 (log1p.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))
(+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
(exp.f64 (log.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))
(+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
(exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))) 1))
(+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
(log1p.f64 (expm1.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))
(+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
(fma.f64 1 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))
(+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
(fma.f64 1 (pow.f64 (+.f64 x 1) -1/2) (pow.f64 x -1/2))
(+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
(fma.f64 (cbrt.f64 (/.f64 1 (+.f64 x 1))) (cbrt.f64 (pow.f64 (+.f64 x 1) -1/2)) (pow.f64 x -1/2))
(fma.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) (pow.f64 x -1/2))
(fma.f64 (/.f64 -1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -1/2)) (pow.f64 (+.f64 x 1) -1/2))
(fma.f64 (/.f64 -1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -1/2)) (pow.f64 (+.f64 1 x) -1/2))
(fma.f64 (pow.f64 x -1/4) (pow.f64 x -1/4) (pow.f64 (+.f64 x 1) -1/2))
(+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
(fma.f64 (pow.f64 (+.f64 x 1) -1/4) (pow.f64 (+.f64 x 1) -1/4) (pow.f64 x -1/2))
(+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))

eval740.0ms (5.5%)

Compiler

Compiled 36623 to 30008 computations (18.1% saved)

prune316.0ms (2.4%)

Pruning

24 alts after pruning (21 fresh and 3 done)

PrunedKeptTotal
New1099111110
Fresh191029
Picked235
Done202
Total1122241146
Accuracy
100.0%
Counts
1146 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.6%
(pow.f64 (/.f64 1 x) 3/2)
51.6%
(pow.f64 x -3/2)
51.6%
(/.f64 (pow.f64 x -1/2) x)
84.9%
(/.f64 (/.f64 (+.f64 -1 (*.f64 0 x)) (*.f64 x (-.f64 -1 x))) (+.f64 (pow.f64 x -1/2) (sqrt.f64 (/.f64 1 (+.f64 x 1)))))
51.6%
(/.f64 (/.f64 1 x) (sqrt.f64 x))
84.9%
(/.f64 (/.f64 -1 (*.f64 x (-.f64 -1 x))) (+.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
99.6%
(/.f64 (/.f64 -1 x) (*.f64 (-.f64 -1 x) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
99.5%
(/.f64 (/.f64 -1 x) (*.f64 (-.f64 -1 x) (+.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 (+.f64 x 1))))))
98.4%
(/.f64 (/.f64 -1 x) (*.f64 (-.f64 -1 x) (*.f64 2 (sqrt.f64 (/.f64 1 x)))))
98.3%
(/.f64 (/.f64 -1 x) (*.f64 -2 (sqrt.f64 x)))
97.8%
(/.f64 (*.f64 (pow.f64 x -1/2) (/.f64 (pow.f64 x -1/2) (cbrt.f64 (*.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (+.f64 -1 x))))) (cbrt.f64 (pow.f64 (*.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (+.f64 -1 x)) 2)))
99.6%
(/.f64 (neg.f64 (/.f64 -1 (+.f64 (pow.f64 x 1/2) (*.f64 (pow.f64 (+.f64 1 x) -1/2) x)))) (+.f64 1 x))
51.6%
(/.f64 1 (pow.f64 x 3/2))
83.5%
(/.f64 1 (*.f64 2 (*.f64 (pow.f64 x 2) (sqrt.f64 (/.f64 1 x)))))
51.6%
(/.f64 -1 (*.f64 (neg.f64 x) (sqrt.f64 x)))
98.5%
(/.f64 -1 (*.f64 x (*.f64 (-.f64 -1 x) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))))
45.9%
(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
44.2%
(+.f64 1 (-.f64 (pow.f64 x -3/2) 1))
51.6%
(*.f64 (pow.f64 x -1/2) (/.f64 1 x))
98.2%
(*.f64 (/.f64 (pow.f64 x -1/2) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))) (/.f64 (pow.f64 x -1/2) (+.f64 -1 x)))
87.1%
(*.f64 (/.f64 (/.f64 -1 x) (-.f64 -1 x)) (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))
99.5%
(*.f64 (/.f64 -1 (+.f64 x 1)) (/.f64 (/.f64 -1 x) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))
97.8%
(*.f64 (/.f64 -1 (*.f64 (sqrt.f64 (+.f64 -1 x)) (hypot.f64 (pow.f64 x -1/4) (pow.f64 (+.f64 x 1) -1/4)))) (/.f64 (/.f64 -1 x) (*.f64 (sqrt.f64 (+.f64 -1 x)) (hypot.f64 (pow.f64 x -1/4) (pow.f64 (+.f64 x 1) -1/4)))))
68.5%
(*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))
Compiler

Compiled 2243 to 1780 computations (20.6% saved)

regimes62.0ms (0.5%)

Counts
100 → 1
Calls
Call 1
Inputs
(pow.f64 x -3/2)
(neg.f64 (sqrt.f64 (/.f64 1 x)))
(/.f64 1 (pow.f64 x 3/2))
(/.f64 (pow.f64 x -1/2) x)
(pow.f64 (/.f64 1 x) 3/2)
(-.f64 (/.f64 1 (sqrt.f64 x)) 1)
(/.f64 (/.f64 1 x) (sqrt.f64 x))
(*.f64 (pow.f64 x -1/2) (/.f64 1 x))
(+.f64 1 (-.f64 (pow.f64 x -3/2) 1))
(/.f64 -1 (*.f64 (neg.f64 x) (sqrt.f64 x)))
(/.f64 1 (+.f64 x (pow.f64 x 1/2)))
(/.f64 (/.f64 -1 x) (*.f64 -2 (sqrt.f64 x)))
(/.f64 1 (*.f64 x (+.f64 1 (pow.f64 x -1/2))))
(-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 1 (*.f64 -1/2 x)))
(/.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (+.f64 1 x))) (sqrt.f64 (/.f64 1 x)))
(/.f64 (/.f64 -1 x) (*.f64 (-.f64 -1 x) (*.f64 2 (sqrt.f64 (/.f64 1 x)))))
(/.f64 (/.f64 (+.f64 -1 (*.f64 0 x)) (*.f64 x (-.f64 -1 x))) (sqrt.f64 (/.f64 1 x)))
(sqrt.f64 (pow.f64 x -3))
(pow.f64 (sqrt.f64 x) -3)
(pow.f64 (pow.f64 x -1/2) 3)
(sqrt.f64 (/.f64 1 (pow.f64 x 3)))
(sqrt.f64 (pow.f64 (/.f64 1 x) 3))
(/.f64 1 (pow.f64 (sqrt.f64 x) 3))
(exp.f64 (*.f64 (*.f64 -1/2 (log.f64 x)) 3))
(*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))
(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
(-.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (+.f64 1 x) -1/2))
(-.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (*.f64 (/.f64 1 x) (pow.f64 x -1/4)) (pow.f64 x -1/4))
(-.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 1 (*.f64 2 (*.f64 (pow.f64 x 2) (sqrt.f64 (/.f64 1 x)))))
(/.f64 -1 (*.f64 x (*.f64 (-.f64 -1 x) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))))
(/.f64 (/.f64 -1 x) (*.f64 (-.f64 -1 x) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(/.f64 (neg.f64 (/.f64 -1 (+.f64 (pow.f64 x 1/2) (*.f64 (pow.f64 (+.f64 1 x) -1/2) x)))) (+.f64 1 x))
(/.f64 (/.f64 -1 x) (*.f64 (-.f64 -1 x) (+.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (/.f64 -1 (*.f64 x (-.f64 -1 x))) (+.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (/.f64 (/.f64 -1 x) (-.f64 -1 x)) (+.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 -1 (/.f64 1 (*.f64 (*.f64 x (-.f64 -1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))))
(*.f64 (/.f64 -1 (+.f64 x 1)) (/.f64 (/.f64 -1 x) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))
(*.f64 (/.f64 (/.f64 -1 x) (-.f64 -1 x)) (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(/.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (+.f64 1 x))) (+.f64 (pow.f64 x -1/2) (sqrt.f64 (/.f64 1 (+.f64 1 x)))))
(/.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (+.f64 1 x))) (+.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))))
(/.f64 (/.f64 (+.f64 -1 (*.f64 0 x)) (*.f64 x (-.f64 -1 x))) (+.f64 (pow.f64 x -1/2) (sqrt.f64 (/.f64 1 (+.f64 1 x)))))
(/.f64 (/.f64 (+.f64 -1 (*.f64 0 x)) (*.f64 x (-.f64 -1 x))) (+.f64 (pow.f64 x -1/2) (sqrt.f64 (/.f64 1 (+.f64 x 1)))))
(/.f64 (/.f64 (+.f64 -1 (*.f64 0 x)) (*.f64 x (-.f64 -1 x))) (+.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
(-.f64 (/.f64 1 (sqrt.f64 x)) (exp.f64 (*.f64 -1/2 (log1p.f64 x))))
(-.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (pow.f64 (+.f64 1 x) 1/4) -2))
(-.f64 (pow.f64 (pow.f64 x 1/4) -2) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (+.f64 1 x))))
(/.f64 (/.f64 (+.f64 -1 (*.f64 0 x)) (*.f64 x (-.f64 -1 x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (pow.f64 (+.f64 1 x) 1/4) -2)))
(/.f64 (*.f64 (/.f64 (/.f64 -1 x) (-.f64 1 (pow.f64 x 2))) (+.f64 -1 x)) (+.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (*.f64 (/.f64 (/.f64 -1 x) (-.f64 -1 (pow.f64 x 3))) (+.f64 1 (*.f64 x (+.f64 x -1)))) (+.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
(-.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (exp.f64 -1/2) (log1p.f64 x)))
(exp.f64 (log.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(-.f64 (cbrt.f64 (pow.f64 (sqrt.f64 x) -3)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (exp.f64 (log.f64 (pow.f64 x -1/2))) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (/.f64 1 (sqrt.f64 x)) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -3)))
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) 3)
(-.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) 3))
(-.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2) 2))
(-.f64 (pow.f64 (cbrt.f64 (pow.f64 x -1/2)) 3) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (pow.f64 (pow.f64 (sqrt.f64 x) -1/2) 2) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(pow.f64 (pow.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) 3) 1/3)
(-.f64 (/.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x))) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 (pow.f64 x -1/2) (/.f64 (/.f64 -1 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 x)))))
(-.f64 (*.f64 (cbrt.f64 (pow.f64 x -1/2)) (cbrt.f64 (/.f64 1 x))) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (pow.f64 x -1/2) (*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) (cbrt.f64 (/.f64 1 (+.f64 1 x)))))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (/.f64 -1 x) (-.f64 -1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))) 3)
(*.f64 (/.f64 (pow.f64 x -1/2) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))) (/.f64 (pow.f64 x -1/2) (+.f64 -1 x)))
(/.f64 (-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))) (+.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))) (+.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (-.f64 (/.f64 1 x) (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))) (-.f64 (pow.f64 x -1/2) (/.f64 -1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (/.f64 (/.f64 -1 x) (*.f64 (+.f64 (pow.f64 x -3/2) (pow.f64 (+.f64 1 x) -3/2)) (-.f64 -1 x))) (-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (/.f64 (pow.f64 x -1/2) (sqrt.f64 (+.f64 1 x)))))
(/.f64 (*.f64 (/.f64 -1 (*.f64 x (-.f64 -1 x))) (+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (pow.f64 x -1/2) (sqrt.f64 (+.f64 1 x)))))) (+.f64 (pow.f64 x -3/2) (pow.f64 (+.f64 1 x) -3/2)))
(fma.f64 (cbrt.f64 (pow.f64 x -1/2)) (cbrt.f64 (/.f64 1 x)) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(fma.f64 (neg.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x)))) (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) (pow.f64 x -1/2))
(pow.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 -1 x) (-.f64 -1 x))) (hypot.f64 (pow.f64 x -1/4) (pow.f64 (+.f64 x 1) -1/4))) 2)
(fma.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 x) -1/2) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(fma.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2) (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2)) (pow.f64 x -1/2))
(+.f64 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) 0) (fma.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 1 (cbrt.f64 (sqrt.f64 x))) (/.f64 -1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 (sqrt.f64 x) -3) (/.f64 -1 (pow.f64 (sqrt.f64 (+.f64 1 x)) 3))) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (pow.f64 x -1/2) (sqrt.f64 (+.f64 1 x))))))
(fma.f64 (cbrt.f64 (pow.f64 x -1/2)) (cbrt.f64 (/.f64 1 x)) (/.f64 (/.f64 -1 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))) 2)) (/.f64 (/.f64 (/.f64 -1 x) (-.f64 -1 x)) (cbrt.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 (/.f64 -1 x) (-.f64 -1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))) 2)) (cbrt.f64 (/.f64 (/.f64 (/.f64 -1 x) (-.f64 -1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x)))) (cbrt.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))))) (cbrt.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x)))) (pow.f64 x -1/2))
(*.f64 (/.f64 -1 (*.f64 (sqrt.f64 (+.f64 -1 x)) (hypot.f64 (pow.f64 x -1/4) (pow.f64 (+.f64 x 1) -1/4)))) (/.f64 (/.f64 -1 x) (*.f64 (sqrt.f64 (+.f64 -1 x)) (hypot.f64 (pow.f64 x -1/4) (pow.f64 (+.f64 x 1) -1/4)))))
(/.f64 (+.f64 (pow.f64 (sqrt.f64 x) -3) (pow.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) 3)) (+.f64 (/.f64 1 x) (-.f64 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (/.f64 -1 (sqrt.f64 (+.f64 1 x)))) (*.f64 (pow.f64 x -1/2) (/.f64 -1 (sqrt.f64 (+.f64 1 x)))))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x)))) (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) (pow.f64 (+.f64 1 x) -1/2)) (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 x (pow.f64 x 2)))))
(/.f64 (*.f64 (pow.f64 x -1/2) (/.f64 (pow.f64 x -1/2) (cbrt.f64 (*.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (+.f64 -1 x))))) (cbrt.f64 (pow.f64 (*.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (+.f64 -1 x)) 2)))
(+.f64 (*.f64 0 (/.f64 (*.f64 1 (/.f64 1 (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 (sqrt.f64 (+.f64 1 x))))) (fma.f64 (cbrt.f64 (pow.f64 x -1/2)) (cbrt.f64 (/.f64 1 x)) (*.f64 (/.f64 1 (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) (/.f64 -1 (cbrt.f64 (+.f64 1 x))))))
(+.f64 (*.f64 0 (/.f64 (*.f64 1 (/.f64 1 (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 (sqrt.f64 (+.f64 1 x))))) (fma.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 1 (cbrt.f64 (sqrt.f64 x))) (*.f64 (/.f64 1 (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) (/.f64 -1 (cbrt.f64 (+.f64 1 x))))))
(+.f64 (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (sqrt.f64 (+.f64 1 x))))) (/.f64 1 (cbrt.f64 (+.f64 1 x))) (*.f64 (/.f64 1 (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 (cbrt.f64 (+.f64 1 x))))) (+.f64 (pow.f64 x -1/2) (*.f64 (/.f64 1 (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) (neg.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x)))))))
(+.f64 (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (sqrt.f64 (+.f64 1 x))))) (/.f64 1 (cbrt.f64 (+.f64 1 x))) (*.f64 (/.f64 1 (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 (cbrt.f64 (+.f64 1 x))))) (+.f64 (/.f64 -1 (neg.f64 (sqrt.f64 x))) (*.f64 (/.f64 1 (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) (neg.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x)))))))
(+.f64 (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (sqrt.f64 (+.f64 1 x))))) (/.f64 1 (cbrt.f64 (+.f64 1 x))) (*.f64 (/.f64 1 (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 (cbrt.f64 (+.f64 1 x))))) (+.f64 (pow.f64 (pow.f64 x 1/4) -2) (*.f64 (/.f64 1 (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) (neg.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x)))))))
(+.f64 (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (sqrt.f64 (+.f64 1 x))))) (/.f64 1 (cbrt.f64 (+.f64 1 x))) (*.f64 (/.f64 1 (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 (cbrt.f64 (+.f64 1 x))))) (fma.f64 (cbrt.f64 (pow.f64 x -1/2)) (cbrt.f64 (/.f64 1 x)) (*.f64 (/.f64 1 (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) (neg.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x)))))))
(+.f64 (fma.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 x) -1/2) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1)) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1))))
(+.f64 (fma.f64 (pow.f64 (pow.f64 x 1/4) -1) (pow.f64 (pow.f64 x 1/4) -1) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1)) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1))))
Outputs
(/.f64 (neg.f64 (/.f64 -1 (+.f64 (pow.f64 x 1/2) (*.f64 (pow.f64 (+.f64 1 x) -1/2) x)))) (+.f64 1 x))
Calls

2 calls:

51.0ms
x
6.0ms
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
Results
AccuracySegmentsBranch
99.6%1x
99.6%1(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
Compiler

Compiled 14 to 11 computations (21.4% saved)

regimes20.0ms (0.1%)

Counts
34 → 1
Calls
Call 1
Inputs
(pow.f64 x -3/2)
(neg.f64 (sqrt.f64 (/.f64 1 x)))
(/.f64 1 (pow.f64 x 3/2))
(/.f64 (pow.f64 x -1/2) x)
(pow.f64 (/.f64 1 x) 3/2)
(-.f64 (/.f64 1 (sqrt.f64 x)) 1)
(/.f64 (/.f64 1 x) (sqrt.f64 x))
(*.f64 (pow.f64 x -1/2) (/.f64 1 x))
(+.f64 1 (-.f64 (pow.f64 x -3/2) 1))
(/.f64 -1 (*.f64 (neg.f64 x) (sqrt.f64 x)))
(/.f64 1 (+.f64 x (pow.f64 x 1/2)))
(/.f64 (/.f64 -1 x) (*.f64 -2 (sqrt.f64 x)))
(/.f64 1 (*.f64 x (+.f64 1 (pow.f64 x -1/2))))
(-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 1 (*.f64 -1/2 x)))
(/.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (+.f64 1 x))) (sqrt.f64 (/.f64 1 x)))
(/.f64 (/.f64 -1 x) (*.f64 (-.f64 -1 x) (*.f64 2 (sqrt.f64 (/.f64 1 x)))))
(/.f64 (/.f64 (+.f64 -1 (*.f64 0 x)) (*.f64 x (-.f64 -1 x))) (sqrt.f64 (/.f64 1 x)))
(sqrt.f64 (pow.f64 x -3))
(pow.f64 (sqrt.f64 x) -3)
(pow.f64 (pow.f64 x -1/2) 3)
(sqrt.f64 (/.f64 1 (pow.f64 x 3)))
(sqrt.f64 (pow.f64 (/.f64 1 x) 3))
(/.f64 1 (pow.f64 (sqrt.f64 x) 3))
(exp.f64 (*.f64 (*.f64 -1/2 (log.f64 x)) 3))
(*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))
(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
(-.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (+.f64 1 x) -1/2))
(-.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (*.f64 (/.f64 1 x) (pow.f64 x -1/4)) (pow.f64 x -1/4))
(-.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 1 (*.f64 2 (*.f64 (pow.f64 x 2) (sqrt.f64 (/.f64 1 x)))))
(/.f64 -1 (*.f64 x (*.f64 (-.f64 -1 x) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))))
(/.f64 (/.f64 -1 x) (*.f64 (-.f64 -1 x) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
Outputs
(/.f64 (/.f64 -1 x) (*.f64 (-.f64 -1 x) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
Calls

2 calls:

15.0ms
x
3.0ms
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
Results
AccuracySegmentsBranch
99.6%1x
99.6%1(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
Compiler

Compiled 14 to 11 computations (21.4% saved)

regimes19.0ms (0.1%)

Counts
33 → 1
Calls
Call 1
Inputs
(pow.f64 x -3/2)
(neg.f64 (sqrt.f64 (/.f64 1 x)))
(/.f64 1 (pow.f64 x 3/2))
(/.f64 (pow.f64 x -1/2) x)
(pow.f64 (/.f64 1 x) 3/2)
(-.f64 (/.f64 1 (sqrt.f64 x)) 1)
(/.f64 (/.f64 1 x) (sqrt.f64 x))
(*.f64 (pow.f64 x -1/2) (/.f64 1 x))
(+.f64 1 (-.f64 (pow.f64 x -3/2) 1))
(/.f64 -1 (*.f64 (neg.f64 x) (sqrt.f64 x)))
(/.f64 1 (+.f64 x (pow.f64 x 1/2)))
(/.f64 (/.f64 -1 x) (*.f64 -2 (sqrt.f64 x)))
(/.f64 1 (*.f64 x (+.f64 1 (pow.f64 x -1/2))))
(-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 1 (*.f64 -1/2 x)))
(/.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (+.f64 1 x))) (sqrt.f64 (/.f64 1 x)))
(/.f64 (/.f64 -1 x) (*.f64 (-.f64 -1 x) (*.f64 2 (sqrt.f64 (/.f64 1 x)))))
(/.f64 (/.f64 (+.f64 -1 (*.f64 0 x)) (*.f64 x (-.f64 -1 x))) (sqrt.f64 (/.f64 1 x)))
(sqrt.f64 (pow.f64 x -3))
(pow.f64 (sqrt.f64 x) -3)
(pow.f64 (pow.f64 x -1/2) 3)
(sqrt.f64 (/.f64 1 (pow.f64 x 3)))
(sqrt.f64 (pow.f64 (/.f64 1 x) 3))
(/.f64 1 (pow.f64 (sqrt.f64 x) 3))
(exp.f64 (*.f64 (*.f64 -1/2 (log.f64 x)) 3))
(*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))
(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
(-.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (+.f64 1 x) -1/2))
(-.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (*.f64 (/.f64 1 x) (pow.f64 x -1/4)) (pow.f64 x -1/4))
(-.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 1 (*.f64 2 (*.f64 (pow.f64 x 2) (sqrt.f64 (/.f64 1 x)))))
(/.f64 -1 (*.f64 x (*.f64 (-.f64 -1 x) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))))
Outputs
(/.f64 -1 (*.f64 x (*.f64 (-.f64 -1 x) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))))
Calls

2 calls:

15.0ms
x
3.0ms
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
Results
AccuracySegmentsBranch
98.5%1x
98.5%1(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
Compiler

Compiled 14 to 11 computations (21.4% saved)

regimes19.0ms (0.1%)

Counts
32 → 1
Calls
Call 1
Inputs
(pow.f64 x -3/2)
(neg.f64 (sqrt.f64 (/.f64 1 x)))
(/.f64 1 (pow.f64 x 3/2))
(/.f64 (pow.f64 x -1/2) x)
(pow.f64 (/.f64 1 x) 3/2)
(-.f64 (/.f64 1 (sqrt.f64 x)) 1)
(/.f64 (/.f64 1 x) (sqrt.f64 x))
(*.f64 (pow.f64 x -1/2) (/.f64 1 x))
(+.f64 1 (-.f64 (pow.f64 x -3/2) 1))
(/.f64 -1 (*.f64 (neg.f64 x) (sqrt.f64 x)))
(/.f64 1 (+.f64 x (pow.f64 x 1/2)))
(/.f64 (/.f64 -1 x) (*.f64 -2 (sqrt.f64 x)))
(/.f64 1 (*.f64 x (+.f64 1 (pow.f64 x -1/2))))
(-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 1 (*.f64 -1/2 x)))
(/.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (+.f64 1 x))) (sqrt.f64 (/.f64 1 x)))
(/.f64 (/.f64 -1 x) (*.f64 (-.f64 -1 x) (*.f64 2 (sqrt.f64 (/.f64 1 x)))))
(/.f64 (/.f64 (+.f64 -1 (*.f64 0 x)) (*.f64 x (-.f64 -1 x))) (sqrt.f64 (/.f64 1 x)))
(sqrt.f64 (pow.f64 x -3))
(pow.f64 (sqrt.f64 x) -3)
(pow.f64 (pow.f64 x -1/2) 3)
(sqrt.f64 (/.f64 1 (pow.f64 x 3)))
(sqrt.f64 (pow.f64 (/.f64 1 x) 3))
(/.f64 1 (pow.f64 (sqrt.f64 x) 3))
(exp.f64 (*.f64 (*.f64 -1/2 (log.f64 x)) 3))
(*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))
(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
(-.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (+.f64 1 x) -1/2))
(-.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (*.f64 (/.f64 1 x) (pow.f64 x -1/4)) (pow.f64 x -1/4))
(-.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 1 (*.f64 2 (*.f64 (pow.f64 x 2) (sqrt.f64 (/.f64 1 x)))))
Outputs
(/.f64 (/.f64 -1 x) (*.f64 (-.f64 -1 x) (*.f64 2 (sqrt.f64 (/.f64 1 x)))))
Calls

2 calls:

14.0ms
x
4.0ms
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
Results
AccuracySegmentsBranch
98.4%1x
98.4%1(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
Compiler

Compiled 14 to 11 computations (21.4% saved)

regimes8.0ms (0.1%)

Counts
15 → 1
Calls
Call 1
Inputs
(pow.f64 x -3/2)
(neg.f64 (sqrt.f64 (/.f64 1 x)))
(/.f64 1 (pow.f64 x 3/2))
(/.f64 (pow.f64 x -1/2) x)
(pow.f64 (/.f64 1 x) 3/2)
(-.f64 (/.f64 1 (sqrt.f64 x)) 1)
(/.f64 (/.f64 1 x) (sqrt.f64 x))
(*.f64 (pow.f64 x -1/2) (/.f64 1 x))
(+.f64 1 (-.f64 (pow.f64 x -3/2) 1))
(/.f64 -1 (*.f64 (neg.f64 x) (sqrt.f64 x)))
(/.f64 1 (+.f64 x (pow.f64 x 1/2)))
(/.f64 (/.f64 -1 x) (*.f64 -2 (sqrt.f64 x)))
(/.f64 1 (*.f64 x (+.f64 1 (pow.f64 x -1/2))))
(-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 1 (*.f64 -1/2 x)))
(/.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (+.f64 1 x))) (sqrt.f64 (/.f64 1 x)))
Outputs
(/.f64 (/.f64 -1 x) (*.f64 -2 (sqrt.f64 x)))
Calls

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
98.3%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0%)

Counts
11 → 1
Calls
Call 1
Inputs
(pow.f64 x -3/2)
(neg.f64 (sqrt.f64 (/.f64 1 x)))
(/.f64 1 (pow.f64 x 3/2))
(/.f64 (pow.f64 x -1/2) x)
(pow.f64 (/.f64 1 x) 3/2)
(-.f64 (/.f64 1 (sqrt.f64 x)) 1)
(/.f64 (/.f64 1 x) (sqrt.f64 x))
(*.f64 (pow.f64 x -1/2) (/.f64 1 x))
(+.f64 1 (-.f64 (pow.f64 x -3/2) 1))
(/.f64 -1 (*.f64 (neg.f64 x) (sqrt.f64 x)))
(/.f64 1 (+.f64 x (pow.f64 x 1/2)))
Outputs
(/.f64 1 (pow.f64 x 3/2))
Calls

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
51.6%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Accuracy

Total -30.9b remaining (-99.7%)

Threshold costs -30.9b (-99.7%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
51.6%1x
Compiler

Compiled 2 to 1 computations (50% saved)

simplify8.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
041292
163292
272292
378292
481292
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(/.f64 (neg.f64 (/.f64 -1 (+.f64 (pow.f64 x 1/2) (*.f64 (pow.f64 (+.f64 1 x) -1/2) x)))) (+.f64 1 x))
(/.f64 (/.f64 -1 x) (*.f64 (-.f64 -1 x) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(/.f64 -1 (*.f64 x (*.f64 (-.f64 -1 x) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))))
(/.f64 (/.f64 -1 x) (*.f64 (-.f64 -1 x) (*.f64 2 (sqrt.f64 (/.f64 1 x)))))
(/.f64 (/.f64 -1 x) (*.f64 -2 (sqrt.f64 x)))
(/.f64 1 (pow.f64 x 3/2))
(pow.f64 x -3/2)
Outputs
(/.f64 (neg.f64 (/.f64 -1 (+.f64 (pow.f64 x 1/2) (*.f64 (pow.f64 (+.f64 1 x) -1/2) x)))) (+.f64 1 x))
(/.f64 (/.f64 (neg.f64 -1) (+.f64 (pow.f64 x 1/2) (*.f64 x (pow.f64 (+.f64 x 1) -1/2)))) (+.f64 x 1))
(/.f64 (/.f64 -1 x) (*.f64 (-.f64 -1 x) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(/.f64 (/.f64 -1 x) (*.f64 (-.f64 -1 x) (+.f64 (pow.f64 (+.f64 x 1) -1/2) (pow.f64 x -1/2))))
(/.f64 -1 (*.f64 x (*.f64 (-.f64 -1 x) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))))
(/.f64 -1 (*.f64 x (*.f64 (-.f64 -1 x) (+.f64 (pow.f64 (+.f64 x 1) -1/2) (pow.f64 x -1/2)))))
(/.f64 (/.f64 -1 x) (*.f64 (-.f64 -1 x) (*.f64 2 (sqrt.f64 (/.f64 1 x)))))
(/.f64 (/.f64 -1 x) (*.f64 -2 (sqrt.f64 x)))
(/.f64 1 (pow.f64 x 3/2))
(pow.f64 x -3/2)
Compiler

Compiled 89 to 70 computations (21.3% saved)

soundness2.4s (17.5%)

Rules
1574×times-frac
1564×fma-def
1552×prod-diff
1132×fma-def
1090×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01373
118757
2260557
032710897
17809528
226047139
034516
1608324
0103736421
1267934127
034251
1637219
27798219
079615289
1195614034
034327
1610319
096739164
1301936963
079615289
1195614034
034251
1637219
27798219
079615289
1195614034
079615289
1195614034
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 2071 to 1624 computations (21.6% saved)

end0.0ms (0%)

preprocess82.0ms (0.6%)

Compiler

Compiled 222 to 172 computations (22.5% saved)

Profiling

Loading profile data...