Given's Rotation SVD example, simplified

Time bar (total: 9.7s)

analyze1.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
100%100%0%0%0%0%0%2
Compiler

Compiled 14 to 13 computations (7.1% saved)

sample2.2s (22.7%)

Results
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Bogosity

preprocess489.0ms (5.1%)

Algorithm
egg-herbie
Rules
36×sub-neg
22×+-commutative
20×associate--r+
18×associate-+l-
16×*-commutative
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
640-0-(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
00-0-x
00-0-(hypot.f64 1 x)
00-0-(/.f64 1 (hypot.f64 1 x))
00-0-1/2
00-0-(*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))
00-0-(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
00-0-1
00-0-(sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022164
150136
278136
3102136
4138136
5158136
6170136
7176136
8177136
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 (neg.f64 x)))))))
(neg.f64 (-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 (neg.f64 x))))))))
Outputs
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 (/.f64 1 (hypot.f64 1 x)) 1/2))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 (/.f64 1 (hypot.f64 1 x)) 1/2))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 (neg.f64 x)))))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 (/.f64 1 (hypot.f64 1 (neg.f64 x))) 1/2))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 (neg.f64 x))))))
(neg.f64 (-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 (neg.f64 x))))))))
(neg.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 (/.f64 1 (hypot.f64 1 (neg.f64 x))) 1/2)))))
(+.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 (neg.f64 x))))))
(+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 (neg.f64 x))))) -1)
Compiler

Compiled 115 to 100 computations (13% saved)

eval1.0ms (0%)

Compiler

Compiled 23 to 21 computations (8.7% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
76.9%
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
Compiler

Compiled 11 to 10 computations (9.1% saved)

localize179.0ms (1.9%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
100.0%
(/.f64 1/2 (hypot.f64 1 x))
100.0%
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
76.9%
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
Compiler

Compiled 38 to 32 computations (15.8% saved)

series9.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
1.0ms
x
@0
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
1.0ms
x
@-inf
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
1.0ms
x
@-inf
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
1.0ms
x
@inf
(/.f64 1/2 (hypot.f64 1 x))

rewrite227.0ms (2.3%)

Algorithm
batch-egg-rewrite
Rules
1276×unpow-prod-down
768×log1p-expm1-u
768×expm1-log1p-u
756×prod-diff
684×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01374
116474
2212074
Stop Event
node limit
Counts
3 → 178
Calls
Call 1
Inputs
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(/.f64 1/2 (hypot.f64 1 x))
Outputs
(+.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(+.f64 0 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(+.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1)
(+.f64 (log.f64 (exp.f64 1)) (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (cbrt.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))))
(*.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(*.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1)
(*.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2))
(*.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 2))
(*.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(*.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) (/.f64 1 (+.f64 (+.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(*.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) (pow.f64 (/.f64 1 (+.f64 (+.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 1))
(*.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(*.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 1))
(*.f64 (pow.f64 1 1/3) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (cbrt.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 3))
(*.f64 (pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2) 1/3) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(*.f64 (pow.f64 (*.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 1/3) (pow.f64 (*.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2) (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2)) 1/3) (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 1/3) (pow.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 2))
(/.f64 1 (/.f64 (+.f64 (+.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2))))
(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) (+.f64 (+.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
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(*.f64 (pow.f64 (*.f64 (/.f64 1/2 (hypot.f64 1 x)) (sqrt.f64 (/.f64 1/2 (hypot.f64 1 x)))) 1/3) (pow.f64 (*.f64 (/.f64 1/2 (hypot.f64 1 x)) (sqrt.f64 (/.f64 1/2 (hypot.f64 1 x)))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3))) 1/3) (pow.f64 (sqrt.f64 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3))) 1/3))
(*.f64 (pow.f64 (pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) 1/3) (pow.f64 (pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) 1/3))
(*.f64 (pow.f64 (*.f64 (/.f64 1/4 (fma.f64 x x 1)) 1/2) 1/3) (pow.f64 (/.f64 1 (hypot.f64 1 x)) 1/3))
(*.f64 (pow.f64 (*.f64 (/.f64 1/4 (fma.f64 x x 1)) (cbrt.f64 (/.f64 1/4 (fma.f64 x x 1)))) 1/3) (pow.f64 (cbrt.f64 (/.f64 1/2 (hypot.f64 1 x))) 1/3))
(*.f64 (pow.f64 (*.f64 (/.f64 1/4 (fma.f64 x x 1)) (sqrt.f64 (/.f64 1/2 (hypot.f64 1 x)))) 1/3) (pow.f64 (sqrt.f64 (/.f64 1/2 (hypot.f64 1 x))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 (sqrt.f64 (/.f64 1 (hypot.f64 1 x))) 2))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/4 (fma.f64 x x 1)))) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/2 (hypot.f64 1 x)))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 1/2 (hypot.f64 1 x)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 1/2 (hypot.f64 1 x)))) 2))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (*.f64 (hypot.f64 1 x) 2)) (cbrt.f64 (*.f64 (hypot.f64 1 x) 2))) -1) (cbrt.f64 (/.f64 1/2 (hypot.f64 1 x))))
(pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 1/2 (hypot.f64 1 x))) 3)
(pow.f64 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)) 1/3)
(pow.f64 (sqrt.f64 (/.f64 1/2 (hypot.f64 1 x))) 2)
(pow.f64 (*.f64 (hypot.f64 1 x) 2) -1)
(pow.f64 (/.f64 (*.f64 (hypot.f64 1 x) 2) 1) -1)
(neg.f64 (/.f64 -1/2 (hypot.f64 1 x)))
(sqrt.f64 (/.f64 1/4 (fma.f64 x x 1)))
(log.f64 (exp.f64 (/.f64 1/2 (hypot.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/2 (hypot.f64 1 x)))))
(cbrt.f64 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 1/2 (hypot.f64 1 x))))
(exp.f64 (log.f64 (/.f64 1/2 (hypot.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 1/2 (hypot.f64 1 x))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 1/2 (hypot.f64 1 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 1/2 (hypot.f64 1 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 1/2 (hypot.f64 1 x)))) 2))
(exp.f64 (*.f64 (log.f64 (*.f64 (hypot.f64 1 x) 2)) -1))
(log1p.f64 (expm1.f64 (/.f64 1/2 (hypot.f64 1 x))))

simplify149.0ms (1.5%)

Algorithm
egg-herbie
Rules
684×times-frac
638×distribute-lft-in
622×cancel-sign-sub-inv
568×distribute-rgt-in
490×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
057610020
111339832
230319763
Stop Event
node limit
Counts
214 → 369
Calls
Call 1
Inputs
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 1/8 (pow.f64 x 2)))
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 1/8 (pow.f64 x 2))))
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (+.f64 (*.f64 -1843/32768 (pow.f64 x 8)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 1/8 (pow.f64 x 2)))))
(-.f64 1 (sqrt.f64 1/2))
(-.f64 1 (+.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2))))))
(-.f64 (+.f64 1 (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))))) (+.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2))))))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (*.f64 (pow.f64 x 3) (sqrt.f64 1/2)))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3)))))) (+.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2))))))
(-.f64 1 (sqrt.f64 1/2))
(-.f64 (+.f64 1 (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2))))) (sqrt.f64 1/2))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3)))) (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2)))))) (sqrt.f64 1/2))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2)))) (*.f64 1/2 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (*.f64 (pow.f64 x 3) (sqrt.f64 1/2))))))) (sqrt.f64 1/2))
1
(+.f64 1 (*.f64 -1/8 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 11/128 (pow.f64 x 4))))
(+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -69/1024 (pow.f64 x 6)) (*.f64 11/128 (pow.f64 x 4)))))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2)))))
(-.f64 (+.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2))))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3)))))
(-.f64 (+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2)))) (*.f64 1/2 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (*.f64 (pow.f64 x 3) (sqrt.f64 1/2)))))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3)))))
(sqrt.f64 1/2)
(-.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2)))))
(-.f64 (sqrt.f64 1/2) (+.f64 (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3)))) (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2))))))
(-.f64 (+.f64 (sqrt.f64 1/2) (*.f64 -1/2 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (*.f64 (pow.f64 x 3) (sqrt.f64 1/2))))) (+.f64 (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3)))) (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2))))))
1/2
(+.f64 1/2 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 3/16 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -5/32 (pow.f64 x 6)) (*.f64 3/16 (pow.f64 x 4)))))
(/.f64 1/2 x)
(-.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/4 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 3/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 3/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))) (+.f64 (*.f64 5/32 (/.f64 1 (pow.f64 x 7))) (*.f64 1/4 (/.f64 1 (pow.f64 x 3)))))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 3/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 5/32 (/.f64 1 (pow.f64 x 7))) (*.f64 1/4 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 3/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(+.f64 0 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(+.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1)
(+.f64 (log.f64 (exp.f64 1)) (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (cbrt.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))))
(*.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(*.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1)
(*.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2))
(*.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 2))
(*.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(*.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) (/.f64 1 (+.f64 (+.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(*.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) (pow.f64 (/.f64 1 (+.f64 (+.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 1))
(*.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(*.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 1))
(*.f64 (pow.f64 1 1/3) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (cbrt.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 3))
(*.f64 (pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2) 1/3) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(*.f64 (pow.f64 (*.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 1/3) (pow.f64 (*.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2) (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2)) 1/3) (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 1/3) (pow.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 2))
(/.f64 1 (/.f64 (+.f64 (+.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2))))
(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) (+.f64 (+.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 (neg.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (neg.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2))) (neg.f64 (+.f64 (+.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(/.f64 (+.f64 1 (*.f64 -1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2))) (+.f64 1 (-.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(/.f64 (-.f64 1 (*.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (-.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1)
(pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 3)
(pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2)
(pow.f64 (/.f64 (+.f64 (+.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2))) -1)
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1)
(sqrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2))
(log.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3))
(expm1.f64 (log1p.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(exp.f64 (log1p.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
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(expm1.f64 (log1p.f64 (/.f64 1/2 (hypot.f64 1 x))))
(exp.f64 (log.f64 (/.f64 1/2 (hypot.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 1/2 (hypot.f64 1 x))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 1/2 (hypot.f64 1 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 1/2 (hypot.f64 1 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 1/2 (hypot.f64 1 x)))) 2))
(exp.f64 (*.f64 (log.f64 (*.f64 (hypot.f64 1 x) 2)) -1))
(log1p.f64 (expm1.f64 (/.f64 1/2 (hypot.f64 1 x))))
Outputs
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 1/8 (pow.f64 x 2)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4)))
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 1/8 (pow.f64 x 2))))
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 69/1024 (pow.f64 x 6))))
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (+.f64 (*.f64 -1843/32768 (pow.f64 x 8)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 1/8 (pow.f64 x 2)))))
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (+.f64 (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 69/1024 (pow.f64 x 6))) (*.f64 -1843/32768 (pow.f64 x 8))))
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 -1843/32768 (pow.f64 x 8)))))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -11/128 (pow.f64 x 4)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 -1843/32768 (pow.f64 x 8)))))
(-.f64 1 (sqrt.f64 1/2))
(-.f64 1 (+.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2))))))
(-.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))))
(+.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 -1/4 (*.f64 x (sqrt.f64 1/2))))
(-.f64 (+.f64 1 (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))))) (+.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2))))))
(+.f64 1 (-.f64 (/.f64 1/32 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))) (+.f64 (sqrt.f64 1/2) (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))))))
(+.f64 (/.f64 (/.f64 1/32 (*.f64 1/2 (sqrt.f64 1/2))) (pow.f64 x 2)) (+.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 -1/4 (*.f64 x (sqrt.f64 1/2)))))
(+.f64 (+.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 -1/4 (*.f64 x (sqrt.f64 1/2)))) (*.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (sqrt.f64 1/2)) 1/16))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (*.f64 (pow.f64 x 3) (sqrt.f64 1/2)))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3)))))) (+.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2))))))
(+.f64 1 (-.f64 (+.f64 (/.f64 1/32 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))) (*.f64 -1/2 (/.f64 (+.f64 (/.f64 1/64 (pow.f64 (sqrt.f64 1/2) 4)) -1/4) (*.f64 (sqrt.f64 1/2) (pow.f64 x 3))))) (+.f64 (sqrt.f64 1/2) (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))))))
(+.f64 1 (+.f64 (/.f64 (/.f64 1/32 (*.f64 1/2 (sqrt.f64 1/2))) (pow.f64 x 2)) (-.f64 (*.f64 -1/2 (/.f64 (+.f64 (/.f64 1/64 (pow.f64 (sqrt.f64 1/2) 4)) -1/4) (*.f64 (sqrt.f64 1/2) (pow.f64 x 3)))) (+.f64 (sqrt.f64 1/2) (/.f64 1/4 (*.f64 x (sqrt.f64 1/2)))))))
(+.f64 1 (+.f64 (*.f64 (/.f64 (+.f64 (/.f64 1/64 (pow.f64 (sqrt.f64 1/2) 4)) -1/4) (pow.f64 x 3)) (/.f64 -1/2 (sqrt.f64 1/2))) (+.f64 (*.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (sqrt.f64 1/2)) 1/16) (-.f64 (/.f64 -1/4 (*.f64 x (sqrt.f64 1/2))) (sqrt.f64 1/2)))))
(-.f64 1 (sqrt.f64 1/2))
(-.f64 (+.f64 1 (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2))))) (sqrt.f64 1/2))
(+.f64 1 (-.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) (sqrt.f64 1/2)))
(+.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) (-.f64 1 (sqrt.f64 1/2)))
(+.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3)))) (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2)))))) (sqrt.f64 1/2))
(+.f64 1 (-.f64 (+.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) (/.f64 1/32 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3)))) (sqrt.f64 1/2)))
(+.f64 1 (+.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) (-.f64 (/.f64 (/.f64 1/32 (*.f64 1/2 (sqrt.f64 1/2))) (pow.f64 x 2)) (sqrt.f64 1/2))))
(+.f64 1 (+.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) (-.f64 (*.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (sqrt.f64 1/2)) 1/16) (sqrt.f64 1/2))))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2)))) (*.f64 1/2 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (*.f64 (pow.f64 x 3) (sqrt.f64 1/2))))))) (sqrt.f64 1/2))
(+.f64 1 (-.f64 (+.f64 (+.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) (/.f64 1/32 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3)))) (*.f64 1/2 (/.f64 (+.f64 (/.f64 1/64 (pow.f64 (sqrt.f64 1/2) 4)) -1/4) (*.f64 (sqrt.f64 1/2) (pow.f64 x 3))))) (sqrt.f64 1/2)))
(+.f64 1 (+.f64 (+.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) (/.f64 (/.f64 1/32 (*.f64 1/2 (sqrt.f64 1/2))) (pow.f64 x 2))) (-.f64 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1/64 (pow.f64 (sqrt.f64 1/2) 4))) -1/8) (*.f64 (sqrt.f64 1/2) (pow.f64 x 3))) (sqrt.f64 1/2))))
(+.f64 (-.f64 1 (sqrt.f64 1/2)) (+.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) (+.f64 (/.f64 (+.f64 -1/8 (*.f64 1/2 (/.f64 1/64 (pow.f64 (sqrt.f64 1/2) 4)))) (*.f64 (sqrt.f64 1/2) (pow.f64 x 3))) (*.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (sqrt.f64 1/2)) 1/16))))
1
(+.f64 1 (*.f64 -1/8 (pow.f64 x 2)))
(+.f64 1 (*.f64 (pow.f64 x 2) -1/8))
(+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 11/128 (pow.f64 x 4))))
(+.f64 (+.f64 1 (*.f64 (pow.f64 x 2) -1/8)) (*.f64 (pow.f64 x 4) 11/128))
(+.f64 1 (+.f64 (*.f64 (pow.f64 x 2) -1/8) (*.f64 (pow.f64 x 4) 11/128)))
(+.f64 (*.f64 (pow.f64 x 2) -1/8) (+.f64 1 (*.f64 (pow.f64 x 4) 11/128)))
(+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -69/1024 (pow.f64 x 6)) (*.f64 11/128 (pow.f64 x 4)))))
(+.f64 (+.f64 1 (*.f64 (pow.f64 x 2) -1/8)) (+.f64 (*.f64 (pow.f64 x 4) 11/128) (*.f64 (pow.f64 x 6) -69/1024)))
(+.f64 (+.f64 1 (+.f64 (*.f64 (pow.f64 x 2) -1/8) (*.f64 (pow.f64 x 6) -69/1024))) (*.f64 (pow.f64 x 4) 11/128))
(+.f64 (*.f64 (pow.f64 x 2) -1/8) (+.f64 (*.f64 (pow.f64 x 4) 11/128) (+.f64 (*.f64 (pow.f64 x 6) -69/1024) 1)))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2)))))
(+.f64 (sqrt.f64 1/2) (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))))
(-.f64 (+.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2))))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3)))))
(-.f64 (+.f64 (sqrt.f64 1/2) (/.f64 1/4 (*.f64 x (sqrt.f64 1/2)))) (/.f64 1/32 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))))
(+.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) (-.f64 (sqrt.f64 1/2) (/.f64 (/.f64 1/32 (*.f64 1/2 (sqrt.f64 1/2))) (pow.f64 x 2))))
(+.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) (+.f64 (sqrt.f64 1/2) (/.f64 -1/32 (*.f64 (pow.f64 x 2) (*.f64 1/2 (sqrt.f64 1/2))))))
(-.f64 (+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2)))) (*.f64 1/2 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (*.f64 (pow.f64 x 3) (sqrt.f64 1/2)))))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3)))))
(+.f64 (sqrt.f64 1/2) (-.f64 (+.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) (*.f64 1/2 (/.f64 (+.f64 (/.f64 1/64 (pow.f64 (sqrt.f64 1/2) 4)) -1/4) (*.f64 (sqrt.f64 1/2) (pow.f64 x 3))))) (/.f64 1/32 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3)))))
(+.f64 (sqrt.f64 1/2) (+.f64 (+.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) (/.f64 (+.f64 (*.f64 1/2 (/.f64 1/64 (pow.f64 (sqrt.f64 1/2) 4))) -1/8) (*.f64 (sqrt.f64 1/2) (pow.f64 x 3)))) (/.f64 -1/32 (*.f64 (pow.f64 x 2) (*.f64 1/2 (sqrt.f64 1/2))))))
(+.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) (+.f64 (/.f64 (+.f64 -1/8 (*.f64 1/2 (/.f64 1/64 (pow.f64 (sqrt.f64 1/2) 4)))) (*.f64 (sqrt.f64 1/2) (pow.f64 x 3))) (+.f64 (sqrt.f64 1/2) (/.f64 -1/32 (*.f64 (pow.f64 x 2) (*.f64 1/2 (sqrt.f64 1/2)))))))
(sqrt.f64 1/2)
(-.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2)))))
(-.f64 (sqrt.f64 1/2) (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))))
(+.f64 (sqrt.f64 1/2) (/.f64 -1/4 (*.f64 x (sqrt.f64 1/2))))
(-.f64 (sqrt.f64 1/2) (+.f64 (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3)))) (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2))))))
(-.f64 (sqrt.f64 1/2) (+.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) (/.f64 1/32 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3)))))
(+.f64 (-.f64 (sqrt.f64 1/2) (/.f64 (/.f64 1/32 (*.f64 1/2 (sqrt.f64 1/2))) (pow.f64 x 2))) (/.f64 -1/4 (*.f64 x (sqrt.f64 1/2))))
(+.f64 (sqrt.f64 1/2) (+.f64 (/.f64 -1/4 (*.f64 x (sqrt.f64 1/2))) (/.f64 -1/32 (*.f64 (pow.f64 x 2) (*.f64 1/2 (sqrt.f64 1/2))))))
(-.f64 (+.f64 (sqrt.f64 1/2) (*.f64 -1/2 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (*.f64 (pow.f64 x 3) (sqrt.f64 1/2))))) (+.f64 (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3)))) (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2))))))
(+.f64 (sqrt.f64 1/2) (-.f64 (*.f64 -1/2 (/.f64 (+.f64 (/.f64 1/64 (pow.f64 (sqrt.f64 1/2) 4)) -1/4) (*.f64 (sqrt.f64 1/2) (pow.f64 x 3)))) (+.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) (/.f64 1/32 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))))))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (/.f64 1/64 (pow.f64 (sqrt.f64 1/2) 4)) -1/4) (*.f64 (sqrt.f64 1/2) (pow.f64 x 3)))) (+.f64 (-.f64 (sqrt.f64 1/2) (/.f64 (/.f64 1/32 (*.f64 1/2 (sqrt.f64 1/2))) (pow.f64 x 2))) (/.f64 -1/4 (*.f64 x (sqrt.f64 1/2)))))
(+.f64 (*.f64 (/.f64 (+.f64 (/.f64 1/64 (pow.f64 (sqrt.f64 1/2) 4)) -1/4) (pow.f64 x 3)) (/.f64 -1/2 (sqrt.f64 1/2))) (+.f64 (sqrt.f64 1/2) (+.f64 (/.f64 -1/4 (*.f64 x (sqrt.f64 1/2))) (/.f64 -1/32 (*.f64 (pow.f64 x 2) (*.f64 1/2 (sqrt.f64 1/2)))))))
1/2
(+.f64 1/2 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 (pow.f64 x 2) -1/4))
(+.f64 1/2 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 3/16 (pow.f64 x 4))))
(+.f64 (+.f64 1/2 (*.f64 (pow.f64 x 2) -1/4)) (*.f64 (pow.f64 x 4) 3/16))
(+.f64 1/2 (+.f64 (*.f64 (pow.f64 x 2) -1/4) (*.f64 (pow.f64 x 4) 3/16)))
(+.f64 (*.f64 (pow.f64 x 2) -1/4) (+.f64 (*.f64 (pow.f64 x 4) 3/16) 1/2))
(+.f64 1/2 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -5/32 (pow.f64 x 6)) (*.f64 3/16 (pow.f64 x 4)))))
(+.f64 (+.f64 1/2 (*.f64 (pow.f64 x 2) -1/4)) (+.f64 (*.f64 (pow.f64 x 4) 3/16) (*.f64 (pow.f64 x 6) -5/32)))
(+.f64 (+.f64 (*.f64 (pow.f64 x 2) -1/4) (*.f64 (pow.f64 x 6) -5/32)) (+.f64 (*.f64 (pow.f64 x 4) 3/16) 1/2))
(+.f64 (*.f64 (pow.f64 x 2) -1/4) (+.f64 (+.f64 1/2 (*.f64 (pow.f64 x 6) -5/32)) (*.f64 (pow.f64 x 4) 3/16)))
(/.f64 1/2 x)
(-.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/4 (/.f64 1 (pow.f64 x 3))))
(-.f64 (/.f64 1/2 x) (/.f64 1/4 (pow.f64 x 3)))
(+.f64 (/.f64 1/2 x) (/.f64 -1/4 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 3/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1/2 x) (/.f64 3/16 (pow.f64 x 5))) (/.f64 1/4 (pow.f64 x 3)))
(+.f64 (+.f64 (/.f64 1/2 x) (/.f64 3/16 (pow.f64 x 5))) (/.f64 -1/4 (pow.f64 x 3)))
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 3/16 (pow.f64 x 5)) (/.f64 -1/4 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 3/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))) (+.f64 (*.f64 5/32 (/.f64 1 (pow.f64 x 7))) (*.f64 1/4 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 1/2 x) (/.f64 3/16 (pow.f64 x 5))) (+.f64 (/.f64 1/4 (pow.f64 x 3)) (/.f64 5/32 (pow.f64 x 7))))
(+.f64 (+.f64 (/.f64 3/16 (pow.f64 x 5)) (-.f64 (/.f64 1/2 x) (/.f64 5/32 (pow.f64 x 7)))) (/.f64 -1/4 (pow.f64 x 3)))
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 3/16 (pow.f64 x 5)) (+.f64 (/.f64 -1/4 (pow.f64 x 3)) (/.f64 -5/32 (pow.f64 x 7)))))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/4 (pow.f64 x 3)) (/.f64 1/2 x))
(+.f64 (/.f64 1/4 (pow.f64 x 3)) (/.f64 -1/2 x))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 3/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (/.f64 1/4 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 3/16 (pow.f64 x 5))))
(+.f64 (/.f64 1/4 (pow.f64 x 3)) (+.f64 (/.f64 -1/2 x) (/.f64 -3/16 (pow.f64 x 5))))
(-.f64 (+.f64 (*.f64 5/32 (/.f64 1 (pow.f64 x 7))) (*.f64 1/4 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 3/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (+.f64 (/.f64 1/4 (pow.f64 x 3)) (/.f64 5/32 (pow.f64 x 7))) (+.f64 (/.f64 1/2 x) (/.f64 3/16 (pow.f64 x 5))))
(+.f64 (/.f64 1/4 (pow.f64 x 3)) (-.f64 (/.f64 5/32 (pow.f64 x 7)) (+.f64 (/.f64 1/2 x) (/.f64 3/16 (pow.f64 x 5)))))
(+.f64 (/.f64 1/4 (pow.f64 x 3)) (+.f64 (-.f64 (/.f64 5/32 (pow.f64 x 7)) (/.f64 3/16 (pow.f64 x 5))) (/.f64 -1/2 x)))
(+.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))))
(+.f64 0 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))))
(+.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1)
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))))
(+.f64 (log.f64 (exp.f64 1)) (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (cbrt.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))))
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(+.f64 0 (/.f64 1/2 (hypot.f64 1 x)))
(/.f64 1/2 (hypot.f64 1 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1/2 (hypot.f64 1 x)))) (cbrt.f64 (exp.f64 (/.f64 1/2 (hypot.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1/2 (hypot.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/2 (hypot.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/2 (hypot.f64 1 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/2 (hypot.f64 1 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/2 (hypot.f64 1 x)))) 1)
(+.f64 (exp.f64 (log1p.f64 (/.f64 1/2 (hypot.f64 1 x)))) -1)
(+.f64 -1 (exp.f64 (log1p.f64 (/.f64 1/2 (hypot.f64 1 x)))))
(*.f64 1 (/.f64 1/2 (hypot.f64 1 x)))
(/.f64 1/2 (hypot.f64 1 x))
(*.f64 1/2 (/.f64 1 (hypot.f64 1 x)))
(/.f64 1/2 (hypot.f64 1 x))
(*.f64 (/.f64 1/2 (hypot.f64 1 x)) 1)
(/.f64 1/2 (hypot.f64 1 x))
(*.f64 (/.f64 1/2 (hypot.f64 1 x)) (log.f64 (exp.f64 1)))
(/.f64 1/2 (hypot.f64 1 x))
(*.f64 (cbrt.f64 (/.f64 1/2 (hypot.f64 1 x))) (cbrt.f64 (/.f64 1/4 (fma.f64 x x 1))))
(*.f64 (cbrt.f64 (/.f64 1/2 (hypot.f64 1 x))) (pow.f64 (/.f64 1/4 (fma.f64 x x 1)) 1/3))
(*.f64 (cbrt.f64 (/.f64 1/2 (hypot.f64 1 x))) (cbrt.f64 (/.f64 1/4 (fma.f64 x x 1))))
(*.f64 (cbrt.f64 (/.f64 1/4 (fma.f64 x x 1))) (cbrt.f64 (/.f64 1/2 (hypot.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 1/2 (hypot.f64 1 x))) (cbrt.f64 (/.f64 1/4 (fma.f64 x x 1))))
(*.f64 (cbrt.f64 (/.f64 1/4 (fma.f64 x x 1))) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/2 (hypot.f64 1 x)))) 2))
(*.f64 (sqrt.f64 (/.f64 1/2 (hypot.f64 1 x))) (sqrt.f64 (/.f64 1/2 (hypot.f64 1 x))))
(/.f64 1/2 (hypot.f64 1 x))
(*.f64 -1/2 (/.f64 1 (neg.f64 (hypot.f64 1 x))))
(/.f64 1/2 (hypot.f64 1 x))
(*.f64 -1/2 (pow.f64 (/.f64 1 (neg.f64 (hypot.f64 1 x))) 1))
(/.f64 1/2 (hypot.f64 1 x))
(*.f64 (/.f64 1 (hypot.f64 1 x)) 1/2)
(/.f64 1/2 (hypot.f64 1 x))
(*.f64 (/.f64 1 (hypot.f64 1 x)) (log.f64 (exp.f64 1/2)))
(/.f64 1/2 (hypot.f64 1 x))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 x x 1))) (pow.f64 (/.f64 (cbrt.f64 (hypot.f64 1 x)) 1/2) -1))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 x x 1))) (/.f64 1 (/.f64 (cbrt.f64 (hypot.f64 1 x)) 1/2)))
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 (hypot.f64 1 x))) 1/2) (cbrt.f64 (fma.f64 x x 1)))
(/.f64 (/.f64 1 (cbrt.f64 (fma.f64 x x 1))) (/.f64 (cbrt.f64 (hypot.f64 1 x)) 1/2))
(*.f64 (/.f64 1 (sqrt.f64 (hypot.f64 1 x))) (pow.f64 (/.f64 (sqrt.f64 (hypot.f64 1 x)) 1/2) -1))
(*.f64 (/.f64 1 (sqrt.f64 (hypot.f64 1 x))) (/.f64 1 (/.f64 (sqrt.f64 (hypot.f64 1 x)) 1/2)))
(/.f64 (*.f64 (/.f64 1 (sqrt.f64 (hypot.f64 1 x))) 1/2) (sqrt.f64 (hypot.f64 1 x)))
(/.f64 (/.f64 1 (sqrt.f64 (hypot.f64 1 x))) (/.f64 (sqrt.f64 (hypot.f64 1 x)) 1/2))
(*.f64 (pow.f64 1 1/3) (/.f64 1/2 (hypot.f64 1 x)))
(/.f64 1/2 (hypot.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/4 (fma.f64 x x 1)))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/2 (hypot.f64 1 x)))) 3))
(*.f64 (cbrt.f64 (/.f64 1/2 (hypot.f64 1 x))) (cbrt.f64 (/.f64 1/4 (fma.f64 x x 1))))
(*.f64 (pow.f64 (cbrt.f64 1/2) 3) (pow.f64 (cbrt.f64 (/.f64 1 (hypot.f64 1 x))) 3))
(/.f64 1/2 (hypot.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/2 (hypot.f64 1 x)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/2 (hypot.f64 1 x)))) 3))
(/.f64 1/2 (hypot.f64 1 x))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/2 (hypot.f64 1 x)))) (cbrt.f64 (cbrt.f64 (/.f64 1/2 (hypot.f64 1 x))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/2 (hypot.f64 1 x)))) 3))
(/.f64 1/2 (hypot.f64 1 x))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/2 (hypot.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/2 (hypot.f64 1 x)))) 3))
(/.f64 1/2 (hypot.f64 1 x))
(*.f64 (pow.f64 (/.f64 1/4 (fma.f64 x x 1)) 1/3) (cbrt.f64 (/.f64 1/2 (hypot.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 1/2 (hypot.f64 1 x))) (cbrt.f64 (/.f64 1/4 (fma.f64 x x 1))))
(*.f64 (pow.f64 1/8 1/3) (pow.f64 (pow.f64 (/.f64 1 (hypot.f64 1 x)) 3) 1/3))
(*.f64 (cbrt.f64 1/8) (cbrt.f64 (/.f64 1 (pow.f64 (hypot.f64 1 x) 3))))
(*.f64 (/.f64 1 (hypot.f64 1 x)) (cbrt.f64 1/8))
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 (/.f64 1/2 (hypot.f64 1 x))) 3) 1/3) (pow.f64 (pow.f64 (sqrt.f64 (/.f64 1/2 (hypot.f64 1 x))) 3) 1/3))
(/.f64 1/2 (hypot.f64 1 x))
(*.f64 (pow.f64 (*.f64 (/.f64 1/2 (hypot.f64 1 x)) (sqrt.f64 (/.f64 1/2 (hypot.f64 1 x)))) 1/3) (pow.f64 (*.f64 (/.f64 1/2 (hypot.f64 1 x)) (sqrt.f64 (/.f64 1/2 (hypot.f64 1 x)))) 1/3))
(/.f64 1/2 (hypot.f64 1 x))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3))) 1/3) (pow.f64 (sqrt.f64 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3))) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)))) (cbrt.f64 (sqrt.f64 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)))))
(*.f64 (pow.f64 (pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) 1/3) (pow.f64 (pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2)) (cbrt.f64 (pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2)))
(*.f64 (pow.f64 (*.f64 (/.f64 1/4 (fma.f64 x x 1)) 1/2) 1/3) (pow.f64 (/.f64 1 (hypot.f64 1 x)) 1/3))
(*.f64 (cbrt.f64 (/.f64 1 (hypot.f64 1 x))) (cbrt.f64 (/.f64 1/8 (fma.f64 x x 1))))
(*.f64 (pow.f64 (*.f64 (/.f64 1/4 (fma.f64 x x 1)) (cbrt.f64 (/.f64 1/4 (fma.f64 x x 1)))) 1/3) (pow.f64 (cbrt.f64 (/.f64 1/2 (hypot.f64 1 x))) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/2 (hypot.f64 1 x)))) (cbrt.f64 (*.f64 (/.f64 1/4 (fma.f64 x x 1)) (cbrt.f64 (/.f64 1/4 (fma.f64 x x 1))))))
(*.f64 (pow.f64 (*.f64 (/.f64 1/4 (fma.f64 x x 1)) (sqrt.f64 (/.f64 1/2 (hypot.f64 1 x)))) 1/3) (pow.f64 (sqrt.f64 (/.f64 1/2 (hypot.f64 1 x))) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/2 (hypot.f64 1 x)))) (cbrt.f64 (*.f64 (/.f64 1/4 (fma.f64 x x 1)) (sqrt.f64 (/.f64 1/2 (hypot.f64 1 x))))))
(*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 (sqrt.f64 (/.f64 1 (hypot.f64 1 x))) 2))
(/.f64 1/2 (hypot.f64 1 x))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/4 (fma.f64 x x 1)))) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/2 (hypot.f64 1 x)))) 2))
(*.f64 (cbrt.f64 (/.f64 1/2 (hypot.f64 1 x))) (cbrt.f64 (/.f64 1/4 (fma.f64 x x 1))))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 1/2 (hypot.f64 1 x)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 1/2 (hypot.f64 1 x)))) 2))
(/.f64 1/2 (hypot.f64 1 x))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (*.f64 (hypot.f64 1 x) 2)) (cbrt.f64 (*.f64 (hypot.f64 1 x) 2))) -1) (cbrt.f64 (/.f64 1/2 (hypot.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 1/2 (hypot.f64 1 x))) (/.f64 1 (*.f64 (cbrt.f64 (*.f64 2 (hypot.f64 1 x))) (cbrt.f64 (*.f64 2 (hypot.f64 1 x))))))
(/.f64 (cbrt.f64 (/.f64 1/2 (hypot.f64 1 x))) (*.f64 (cbrt.f64 (*.f64 2 (hypot.f64 1 x))) (cbrt.f64 (*.f64 2 (hypot.f64 1 x)))))
(pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 1)
(/.f64 1/2 (hypot.f64 1 x))
(pow.f64 (cbrt.f64 (/.f64 1/2 (hypot.f64 1 x))) 3)
(/.f64 1/2 (hypot.f64 1 x))
(pow.f64 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)) 1/3)
(/.f64 1/2 (hypot.f64 1 x))
(pow.f64 (sqrt.f64 (/.f64 1/2 (hypot.f64 1 x))) 2)
(/.f64 1/2 (hypot.f64 1 x))
(pow.f64 (*.f64 (hypot.f64 1 x) 2) -1)
(/.f64 1/2 (hypot.f64 1 x))
(pow.f64 (/.f64 (*.f64 (hypot.f64 1 x) 2) 1) -1)
(/.f64 1/2 (hypot.f64 1 x))
(neg.f64 (/.f64 -1/2 (hypot.f64 1 x)))
(/.f64 1/2 (hypot.f64 1 x))
(sqrt.f64 (/.f64 1/4 (fma.f64 x x 1)))
(log.f64 (exp.f64 (/.f64 1/2 (hypot.f64 1 x))))
(/.f64 1/2 (hypot.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/2 (hypot.f64 1 x)))))
(cbrt.f64 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)))
(/.f64 1/2 (hypot.f64 1 x))
(expm1.f64 (log1p.f64 (/.f64 1/2 (hypot.f64 1 x))))
(exp.f64 (log.f64 (/.f64 1/2 (hypot.f64 1 x))))
(/.f64 1/2 (hypot.f64 1 x))
(exp.f64 (*.f64 (log.f64 (/.f64 1/2 (hypot.f64 1 x))) 1))
(/.f64 1/2 (hypot.f64 1 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 1/2 (hypot.f64 1 x)))) 3))
(/.f64 1/2 (hypot.f64 1 x))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 1/2 (hypot.f64 1 x)))) 1/3))
(/.f64 1/2 (hypot.f64 1 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 1/2 (hypot.f64 1 x)))) 2))
(/.f64 1/2 (hypot.f64 1 x))
(exp.f64 (*.f64 (log.f64 (*.f64 (hypot.f64 1 x) 2)) -1))
(/.f64 1/2 (hypot.f64 1 x))
(log1p.f64 (expm1.f64 (/.f64 1/2 (hypot.f64 1 x))))

eval195.0ms (2%)

Compiler

Compiled 7982 to 7231 computations (9.4% saved)

prune63.0ms (0.6%)

Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New35811369
Fresh000
Picked011
Done000
Total35812370
Accuracy
100.0%
Counts
370 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.6%
(/.f64 (-.f64 1 (pow.f64 (-.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) 3/2)) (+.f64 (sqrt.f64 (-.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) (-.f64 3/2 (/.f64 -1/2 (hypot.f64 1 x)))))
77.7%
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
28.6%
(-.f64 1 (+.f64 1 (*.f64 (pow.f64 x 2) -1/8)))
76.9%
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
50.4%
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
50.2%
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
51.4%
(-.f64 1 (sqrt.f64 1/2))
27.6%
(-.f64 1 1)
50.6%
(+.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) (-.f64 1 (sqrt.f64 1/2)))
49.0%
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4)))
49.4%
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 69/1024 (pow.f64 x 6))))
50.7%
(*.f64 1/8 (pow.f64 x 2))
Compiler

Compiled 277 to 246 computations (11.2% saved)

localize346.0ms (3.6%)

Localize:

Found 10 expressions with local error:

NewAccuracyProgram
100.0%
(*.f64 1/8 (pow.f64 x 2))
99.9%
(*.f64 -11/128 (pow.f64 x 4))
73.4%
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4)))
99.9%
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))
99.2%
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
100.0%
(*.f64 1/8 (pow.f64 x 2))
100.0%
(+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
100.0%
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
100.0%
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
90.6%
(-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))
Compiler

Compiled 135 to 111 computations (17.8% saved)

series25.0ms (0.3%)

Counts
9 → 72
Calls

27 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
2.0ms
x
@inf
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4)))
2.0ms
x
@-inf
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
1.0ms
x
@0
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
1.0ms
x
@0
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))

rewrite217.0ms (2.3%)

Algorithm
batch-egg-rewrite
Rules
1161×log1p-expm1-u
262×associate-*r*
200×expm1-log1p-u
194×pow1
193×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028240
1441213
26362213
Stop Event
node limit
Counts
9 → 251
Calls
Call 1
Inputs
(-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(*.f64 1/8 (pow.f64 x 2))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4)))
(*.f64 -11/128 (pow.f64 x 4))
(*.f64 1/8 (pow.f64 x 2))
Outputs
(+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))
(+.f64 1/2 (*.f64 (/.f64 -1/2 (hypot.f64 1 x)) 1))
(+.f64 1 (neg.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(+.f64 1 (*.f64 -1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(+.f64 1 (*.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(+.f64 1 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2)) (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(+.f64 (/.f64 -1/2 (hypot.f64 1 x)) 1/2)
(*.f64 1 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))))
(*.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) 1)
(*.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) 2) (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))))
(*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))))
(*.f64 (-.f64 1/8 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3))) (/.f64 1 (+.f64 1/4 (+.f64 (/.f64 1/4 (+.f64 1 (pow.f64 x 2))) (/.f64 1/4 (hypot.f64 1 x))))))
(*.f64 (-.f64 1/4 (/.f64 1/4 (+.f64 1 (pow.f64 x 2)))) (/.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(*.f64 (/.f64 (-.f64 1/4 (/.f64 1/4 (+.f64 1 (pow.f64 x 2)))) (-.f64 1/4 (/.f64 1/4 (+.f64 1 (pow.f64 x 2))))) (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))))
(*.f64 (/.f64 (-.f64 1/4 (/.f64 1/4 (+.f64 1 (pow.f64 x 2)))) (+.f64 1/8 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)))) (+.f64 1/4 (-.f64 (/.f64 1/4 (+.f64 1 (pow.f64 x 2))) (/.f64 1/4 (hypot.f64 1 x)))))
(/.f64 1 (/.f64 (+.f64 1/4 (+.f64 (/.f64 1/4 (+.f64 1 (pow.f64 x 2))) (/.f64 1/4 (hypot.f64 1 x)))) (-.f64 1/8 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)))))
(/.f64 1 (/.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (-.f64 1/4 (/.f64 1/4 (+.f64 1 (pow.f64 x 2))))))
(/.f64 (-.f64 1/8 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3))) (+.f64 1/4 (+.f64 (/.f64 1/4 (+.f64 1 (pow.f64 x 2))) (/.f64 1/4 (hypot.f64 1 x)))))
(/.f64 (-.f64 1/4 (/.f64 1/4 (+.f64 1 (pow.f64 x 2)))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(/.f64 (neg.f64 (-.f64 1/4 (/.f64 1/4 (+.f64 1 (pow.f64 x 2))))) (neg.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(/.f64 (neg.f64 (-.f64 1/8 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)))) (neg.f64 (+.f64 1/4 (+.f64 (/.f64 1/4 (+.f64 1 (pow.f64 x 2))) (/.f64 1/4 (hypot.f64 1 x))))))
(/.f64 (+.f64 1/8 (pow.f64 (/.f64 -1/2 (hypot.f64 1 x)) 3)) (+.f64 1/4 (-.f64 (*.f64 (/.f64 -1/2 (hypot.f64 1 x)) (/.f64 -1/2 (hypot.f64 1 x))) (*.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3)) (+.f64 1 (+.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
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(/.f64 (+.f64 1 (pow.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(/.f64 (-.f64 1 (*.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) (-.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1)
(pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 3)
(pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 2)
(sqrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2))
(log.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3))
(expm1.f64 (log1p.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(exp.f64 (log1p.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 1))
(log1p.f64 (expm1.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1)
(*.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(*.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(*.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4) (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(/.f64 (sqrt.f64 (-.f64 1/4 (/.f64 1/4 (pow.f64 x 2)))) (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x))))
(/.f64 (sqrt.f64 (+.f64 1/8 (/.f64 1/8 (pow.f64 x 3)))) (sqrt.f64 (+.f64 1/4 (-.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 1/4 x)))))
(pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/2)
(pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3)
(pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2) 1/3)
(pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4) 2)
(fabs.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 1/2 (/.f64 1/2 x))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 -11/128 (pow.f64 x 4))))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/64) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 11/128 (pow.f64 x 4)))) (/.f64 (*.f64 (pow.f64 x 8) 121/16384) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 11/128 (pow.f64 x 4)))))
(*.f64 1 (fma.f64 1/8 (pow.f64 x 2) (*.f64 -11/128 (pow.f64 x 4))))
(*.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 -11/128 (pow.f64 x 4))) 1)
(*.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 -11/128 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 -11/128 (pow.f64 x 4)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 -11/128 (pow.f64 x 4)))) 2) (cbrt.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 -11/128 (pow.f64 x 4)))))
(*.f64 (sqrt.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 -11/128 (pow.f64 x 4)))) (sqrt.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 -11/128 (pow.f64 x 4)))))
(*.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 4) 3) -1331/2097152) (*.f64 (pow.f64 x 6) 1/512)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 4) 1/64) (-.f64 (*.f64 (pow.f64 x 8) 121/16384) (*.f64 (*.f64 (*.f64 1/8 (pow.f64 x 2)) -11/128) (pow.f64 x 4))))))
(*.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (pow.f64 x 8) 121/16384)) (/.f64 1 (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 11/128 (pow.f64 x 4)))))
(/.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/64) (-.f64 (*.f64 (pow.f64 x 8) 121/16384) (*.f64 (*.f64 (*.f64 1/8 (pow.f64 x 2)) -11/128) (pow.f64 x 4)))) (+.f64 (*.f64 (pow.f64 (pow.f64 x 4) 3) -1331/2097152) (*.f64 (pow.f64 x 6) 1/512))))
(/.f64 1 (/.f64 (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 11/128 (pow.f64 x 4))) (-.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (pow.f64 x 8) 121/16384))))
(/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 4) 3) -1331/2097152) (*.f64 (pow.f64 x 6) 1/512)) (+.f64 (*.f64 (pow.f64 x 4) 1/64) (-.f64 (*.f64 (pow.f64 x 8) 121/16384) (*.f64 (*.f64 (*.f64 1/8 (pow.f64 x 2)) -11/128) (pow.f64 x 4)))))
(/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 4) 3) -1331/2097152) (*.f64 (pow.f64 x 6) 1/512)) (+.f64 (*.f64 (pow.f64 x 8) 121/16384) (-.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (*.f64 (*.f64 1/8 (pow.f64 x 2)) -11/128) (pow.f64 x 4)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (pow.f64 x 8) 121/16384)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 11/128 (pow.f64 x 4))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 4) 3) -1331/2097152) (*.f64 (pow.f64 x 6) 1/512))) (neg.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/64) (-.f64 (*.f64 (pow.f64 x 8) 121/16384) (*.f64 (*.f64 (*.f64 1/8 (pow.f64 x 2)) -11/128) (pow.f64 x 4))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (pow.f64 x 8) 121/16384))) (neg.f64 (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 11/128 (pow.f64 x 4)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 8) 121/16384) (*.f64 (pow.f64 x 4) 1/64)) (-.f64 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 1/8 (pow.f64 x 2))))
(pow.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 -11/128 (pow.f64 x 4))) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 -11/128 (pow.f64 x 4)))) 3)
(pow.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 -11/128 (pow.f64 x 4))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 -11/128 (pow.f64 x 4)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 -11/128 (pow.f64 x 4))) 2))
(log.f64 (exp.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 -11/128 (pow.f64 x 4)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 -11/128 (pow.f64 x 4))))))
(cbrt.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 -11/128 (pow.f64 x 4))) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 -11/128 (pow.f64 x 4)))))
(exp.f64 (log.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 -11/128 (pow.f64 x 4)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 -11/128 (pow.f64 x 4)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 -11/128 (pow.f64 x 4)))))
(fma.f64 1 (*.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4)))
(fma.f64 1 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 1/8 (pow.f64 x 2)))
(fma.f64 1/8 (pow.f64 x 2) (*.f64 -11/128 (pow.f64 x 4)))
(fma.f64 (pow.f64 x 2) 1/8 (*.f64 -11/128 (pow.f64 x 4)))
(fma.f64 -11/128 (pow.f64 x 4) (*.f64 1/8 (pow.f64 x 2)))
(fma.f64 (pow.f64 x 4) -11/128 (*.f64 1/8 (pow.f64 x 2)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 121/16384)) (cbrt.f64 (*.f64 -11/128 (pow.f64 x 4))) (*.f64 1/8 (pow.f64 x 2)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/64)) (cbrt.f64 (*.f64 1/8 (pow.f64 x 2))) (*.f64 -11/128 (pow.f64 x 4)))
(fma.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 -11/128)) (*.f64 (pow.f64 x 2) (sqrt.f64 -11/128)) (*.f64 1/8 (pow.f64 x 2)))
(fma.f64 (*.f64 x (sqrt.f64 1/8)) (*.f64 x (sqrt.f64 1/8)) (*.f64 -11/128 (pow.f64 x 4)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -11/128 (pow.f64 x 4)))) 1)
(pow.f64 (*.f64 -11/128 (pow.f64 x 4)) 1)
(pow.f64 (cbrt.f64 (*.f64 -11/128 (pow.f64 x 4))) 3)
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 4) 3) -1331/2097152) 1/3)
(pow.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 -11/128)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 8) 121/16384))
(log.f64 (pow.f64 (exp.f64 -11/128) (pow.f64 x 4)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -11/128 (pow.f64 x 4)))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 4) 3) -1331/2097152))
(expm1.f64 (log1p.f64 (*.f64 -11/128 (pow.f64 x 4))))
(exp.f64 (log.f64 (*.f64 -11/128 (pow.f64 x 4))))
(exp.f64 (*.f64 (log.f64 (*.f64 -11/128 (pow.f64 x 4))) 1))
(log1p.f64 (expm1.f64 (*.f64 -11/128 (pow.f64 x 4))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/8 (pow.f64 x 2)))) 1)
(pow.f64 (*.f64 1/8 (pow.f64 x 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 1/8 (pow.f64 x 2))) 3)
(pow.f64 (*.f64 (pow.f64 x 6) 1/512) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 1/8)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/64))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 1/8))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/8 (pow.f64 x 2)))))
(cbrt.f64 (*.f64 (pow.f64 x 6) 1/512))
(expm1.f64 (log1p.f64 (*.f64 1/8 (pow.f64 x 2))))
(exp.f64 (log.f64 (*.f64 1/8 (pow.f64 x 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/8 (pow.f64 x 2))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/8 (pow.f64 x 2))))

simplify200.0ms (2.1%)

Algorithm
egg-herbie
Rules
1028×cancel-sign-sub-inv
726×sub-neg
604×div-sub
486×associate-/r*
474×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
073816926
1171015611
2566015224
Stop Event
node limit
Counts
323 → 453
Calls
Call 1
Inputs
(*.f64 1/4 (pow.f64 x 2))
(+.f64 (*.f64 -3/16 (pow.f64 x 4)) (*.f64 1/4 (pow.f64 x 2)))
(+.f64 (*.f64 -3/16 (pow.f64 x 4)) (+.f64 (*.f64 5/32 (pow.f64 x 6)) (*.f64 1/4 (pow.f64 x 2))))
(+.f64 (*.f64 -3/16 (pow.f64 x 4)) (+.f64 (*.f64 -35/256 (pow.f64 x 8)) (+.f64 (*.f64 5/32 (pow.f64 x 6)) (*.f64 1/4 (pow.f64 x 2)))))
1/2
(-.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 1/2 (*.f64 1/4 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 1/2 (*.f64 1/4 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 3/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
1/2
(+.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 1/2 (*.f64 1/2 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 1/2 (+.f64 (*.f64 3/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 3))))
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 1/8 (pow.f64 x 2)))
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 1/8 (pow.f64 x 2))))
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (+.f64 (*.f64 -1843/32768 (pow.f64 x 8)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 1/8 (pow.f64 x 2)))))
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (sqrt.f64 1/2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2)))) (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2))))) x)) (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (sqrt.f64 1/2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2)))) (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2))))) x)) (+.f64 (*.f64 1/64 (/.f64 1 (*.f64 (pow.f64 x 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2))))) (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))))) (*.f64 -1/4 (/.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (sqrt.f64 1/2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2)))) (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2))))) (*.f64 (pow.f64 x 2) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (sqrt.f64 1/2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2)))) (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2))))) x)) (+.f64 (*.f64 1/64 (/.f64 1 (*.f64 (pow.f64 x 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2))))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 x 3) (+.f64 1 (sqrt.f64 1/2))))) (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2))))))) (+.f64 (*.f64 -1/4 (/.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (sqrt.f64 1/2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2)))) (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2))))) (*.f64 (pow.f64 x 2) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) (+.f64 (*.f64 1/32 (/.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (sqrt.f64 1/2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2)))) (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2))))) (*.f64 (pow.f64 x 3) (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (+.f64 1 (sqrt.f64 1/2)))))) (+.f64 (*.f64 1/4 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2)))) (*.f64 -1/4 (/.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (sqrt.f64 1/2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2)))) (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2))))) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) (*.f64 (pow.f64 x 3) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) (*.f64 1/4 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (*.f64 (pow.f64 x 3) (*.f64 (sqrt.f64 1/2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2)))))))))
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
(+.f64 (/.f64 1/8 (*.f64 x (*.f64 (sqrt.f64 1/2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2)))) (+.f64 (/.f64 1/2 (*.f64 x (+.f64 1 (sqrt.f64 1/2)))) (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2))))))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 x (*.f64 (sqrt.f64 1/2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2))))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 x (+.f64 1 (sqrt.f64 1/2))))) (+.f64 (*.f64 1/64 (/.f64 1 (*.f64 (pow.f64 x 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2))))) (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2))))))) (*.f64 -1/4 (/.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (sqrt.f64 1/2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2)))) (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2))))) (*.f64 (pow.f64 x 2) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))))
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(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 -11/128 (pow.f64 x 4)))) 2) (cbrt.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 -11/128 (pow.f64 x 4)))))
(*.f64 (sqrt.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 -11/128 (pow.f64 x 4)))) (sqrt.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 -11/128 (pow.f64 x 4)))))
(*.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 4) 3) -1331/2097152) (*.f64 (pow.f64 x 6) 1/512)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 4) 1/64) (-.f64 (*.f64 (pow.f64 x 8) 121/16384) (*.f64 (*.f64 (*.f64 1/8 (pow.f64 x 2)) -11/128) (pow.f64 x 4))))))
(*.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (pow.f64 x 8) 121/16384)) (/.f64 1 (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 11/128 (pow.f64 x 4)))))
(/.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/64) (-.f64 (*.f64 (pow.f64 x 8) 121/16384) (*.f64 (*.f64 (*.f64 1/8 (pow.f64 x 2)) -11/128) (pow.f64 x 4)))) (+.f64 (*.f64 (pow.f64 (pow.f64 x 4) 3) -1331/2097152) (*.f64 (pow.f64 x 6) 1/512))))
(/.f64 1 (/.f64 (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 11/128 (pow.f64 x 4))) (-.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (pow.f64 x 8) 121/16384))))
(/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 4) 3) -1331/2097152) (*.f64 (pow.f64 x 6) 1/512)) (+.f64 (*.f64 (pow.f64 x 4) 1/64) (-.f64 (*.f64 (pow.f64 x 8) 121/16384) (*.f64 (*.f64 (*.f64 1/8 (pow.f64 x 2)) -11/128) (pow.f64 x 4)))))
(/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 4) 3) -1331/2097152) (*.f64 (pow.f64 x 6) 1/512)) (+.f64 (*.f64 (pow.f64 x 8) 121/16384) (-.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (*.f64 (*.f64 1/8 (pow.f64 x 2)) -11/128) (pow.f64 x 4)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (pow.f64 x 8) 121/16384)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 11/128 (pow.f64 x 4))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 4) 3) -1331/2097152) (*.f64 (pow.f64 x 6) 1/512))) (neg.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/64) (-.f64 (*.f64 (pow.f64 x 8) 121/16384) (*.f64 (*.f64 (*.f64 1/8 (pow.f64 x 2)) -11/128) (pow.f64 x 4))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (pow.f64 x 8) 121/16384))) (neg.f64 (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 11/128 (pow.f64 x 4)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 8) 121/16384) (*.f64 (pow.f64 x 4) 1/64)) (-.f64 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 1/8 (pow.f64 x 2))))
(pow.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 -11/128 (pow.f64 x 4))) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 -11/128 (pow.f64 x 4)))) 3)
(pow.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 -11/128 (pow.f64 x 4))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 -11/128 (pow.f64 x 4)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 -11/128 (pow.f64 x 4))) 2))
(log.f64 (exp.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 -11/128 (pow.f64 x 4)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 -11/128 (pow.f64 x 4))))))
(cbrt.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 -11/128 (pow.f64 x 4))) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 -11/128 (pow.f64 x 4)))))
(exp.f64 (log.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 -11/128 (pow.f64 x 4)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 -11/128 (pow.f64 x 4)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 -11/128 (pow.f64 x 4)))))
(fma.f64 1 (*.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4)))
(fma.f64 1 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 1/8 (pow.f64 x 2)))
(fma.f64 1/8 (pow.f64 x 2) (*.f64 -11/128 (pow.f64 x 4)))
(fma.f64 (pow.f64 x 2) 1/8 (*.f64 -11/128 (pow.f64 x 4)))
(fma.f64 -11/128 (pow.f64 x 4) (*.f64 1/8 (pow.f64 x 2)))
(fma.f64 (pow.f64 x 4) -11/128 (*.f64 1/8 (pow.f64 x 2)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 121/16384)) (cbrt.f64 (*.f64 -11/128 (pow.f64 x 4))) (*.f64 1/8 (pow.f64 x 2)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/64)) (cbrt.f64 (*.f64 1/8 (pow.f64 x 2))) (*.f64 -11/128 (pow.f64 x 4)))
(fma.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 -11/128)) (*.f64 (pow.f64 x 2) (sqrt.f64 -11/128)) (*.f64 1/8 (pow.f64 x 2)))
(fma.f64 (*.f64 x (sqrt.f64 1/8)) (*.f64 x (sqrt.f64 1/8)) (*.f64 -11/128 (pow.f64 x 4)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -11/128 (pow.f64 x 4)))) 1)
(pow.f64 (*.f64 -11/128 (pow.f64 x 4)) 1)
(pow.f64 (cbrt.f64 (*.f64 -11/128 (pow.f64 x 4))) 3)
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 4) 3) -1331/2097152) 1/3)
(pow.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 -11/128)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 8) 121/16384))
(log.f64 (pow.f64 (exp.f64 -11/128) (pow.f64 x 4)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -11/128 (pow.f64 x 4)))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 4) 3) -1331/2097152))
(expm1.f64 (log1p.f64 (*.f64 -11/128 (pow.f64 x 4))))
(exp.f64 (log.f64 (*.f64 -11/128 (pow.f64 x 4))))
(exp.f64 (*.f64 (log.f64 (*.f64 -11/128 (pow.f64 x 4))) 1))
(log1p.f64 (expm1.f64 (*.f64 -11/128 (pow.f64 x 4))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/8 (pow.f64 x 2)))) 1)
(pow.f64 (*.f64 1/8 (pow.f64 x 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 1/8 (pow.f64 x 2))) 3)
(pow.f64 (*.f64 (pow.f64 x 6) 1/512) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 1/8)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/64))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 1/8))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/8 (pow.f64 x 2)))))
(cbrt.f64 (*.f64 (pow.f64 x 6) 1/512))
(expm1.f64 (log1p.f64 (*.f64 1/8 (pow.f64 x 2))))
(exp.f64 (log.f64 (*.f64 1/8 (pow.f64 x 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/8 (pow.f64 x 2))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/8 (pow.f64 x 2))))
Outputs
(*.f64 1/4 (pow.f64 x 2))
(+.f64 (*.f64 -3/16 (pow.f64 x 4)) (*.f64 1/4 (pow.f64 x 2)))
(+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 -3/16 (pow.f64 x 4)))
(+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 (pow.f64 x 4) -3/16))
(+.f64 (*.f64 -3/16 (pow.f64 x 4)) (+.f64 (*.f64 5/32 (pow.f64 x 6)) (*.f64 1/4 (pow.f64 x 2))))
(+.f64 (*.f64 -3/16 (pow.f64 x 4)) (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 5/32 (pow.f64 x 6))))
(+.f64 (*.f64 (pow.f64 x 4) -3/16) (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 5/32 (pow.f64 x 6))))
(+.f64 (*.f64 -3/16 (pow.f64 x 4)) (+.f64 (*.f64 -35/256 (pow.f64 x 8)) (+.f64 (*.f64 5/32 (pow.f64 x 6)) (*.f64 1/4 (pow.f64 x 2)))))
(+.f64 (*.f64 -3/16 (pow.f64 x 4)) (+.f64 (+.f64 (*.f64 -35/256 (pow.f64 x 8)) (*.f64 5/32 (pow.f64 x 6))) (*.f64 1/4 (pow.f64 x 2))))
(+.f64 (*.f64 (pow.f64 x 4) -3/16) (+.f64 (*.f64 1/4 (pow.f64 x 2)) (+.f64 (*.f64 5/32 (pow.f64 x 6)) (*.f64 -35/256 (pow.f64 x 8)))))
1/2
(-.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(-.f64 1/2 (/.f64 1/2 x))
(+.f64 1/2 (/.f64 -1/2 x))
(-.f64 (+.f64 1/2 (*.f64 1/4 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (/.f64 1 x)))
(+.f64 1/2 (-.f64 (/.f64 1/4 (pow.f64 x 3)) (/.f64 1/2 x)))
(+.f64 (/.f64 1/4 (pow.f64 x 3)) (+.f64 1/2 (/.f64 -1/2 x)))
(-.f64 (+.f64 1/2 (*.f64 1/4 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 3/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (+.f64 1/2 (/.f64 1/4 (pow.f64 x 3))) (+.f64 (/.f64 1/2 x) (/.f64 3/16 (pow.f64 x 5))))
(+.f64 1/2 (-.f64 (/.f64 1/4 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 3/16 (pow.f64 x 5)))))
(+.f64 1/2 (+.f64 (/.f64 1/4 (pow.f64 x 3)) (-.f64 (/.f64 -1/2 x) (/.f64 3/16 (pow.f64 x 5)))))
1/2
(+.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(+.f64 1/2 (/.f64 1/2 x))
(-.f64 (+.f64 1/2 (*.f64 1/2 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 1/2 (/.f64 1/2 x)) (/.f64 1/4 (pow.f64 x 3)))
(-.f64 (+.f64 1/2 (+.f64 (*.f64 3/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 3))))
(+.f64 1/2 (-.f64 (+.f64 (/.f64 1/2 x) (/.f64 3/16 (pow.f64 x 5))) (/.f64 1/4 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 1/2 x) (/.f64 3/16 (pow.f64 x 5))) (-.f64 1/2 (/.f64 1/4 (pow.f64 x 3))))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) 1/8)
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 1/8 (pow.f64 x 2)))
(+.f64 (*.f64 (pow.f64 x 2) 1/8) (*.f64 (pow.f64 x 4) -11/128))
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 1/8 (pow.f64 x 2))))
(+.f64 (*.f64 (pow.f64 x 4) -11/128) (+.f64 (*.f64 (pow.f64 x 2) 1/8) (*.f64 (pow.f64 x 6) 69/1024)))
(+.f64 (*.f64 (pow.f64 x 2) 1/8) (+.f64 (*.f64 (pow.f64 x 4) -11/128) (*.f64 (pow.f64 x 6) 69/1024)))
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (+.f64 (*.f64 -1843/32768 (pow.f64 x 8)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 1/8 (pow.f64 x 2)))))
(+.f64 (*.f64 (pow.f64 x 4) -11/128) (+.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/8) (*.f64 (pow.f64 x 6) 69/1024)) (*.f64 (pow.f64 x 8) -1843/32768)))
(+.f64 (*.f64 (pow.f64 x 4) -11/128) (+.f64 (+.f64 (*.f64 (pow.f64 x 8) -1843/32768) (*.f64 (pow.f64 x 2) 1/8)) (*.f64 (pow.f64 x 6) 69/1024)))
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (sqrt.f64 1/2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2)))) (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2))))) x)) (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))))
(+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (neg.f64 (/.f64 (+.f64 (/.f64 1/8 (*.f64 (sqrt.f64 1/2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2))) (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))) x)))
(-.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (/.f64 (+.f64 (/.f64 1/8 (*.f64 (+.f64 1 (sqrt.f64 1/2)) (+.f64 1/2 (sqrt.f64 1/2)))) (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))) x))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (sqrt.f64 1/2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2)))) (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2))))) x)) (+.f64 (*.f64 1/64 (/.f64 1 (*.f64 (pow.f64 x 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2))))) (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))))) (*.f64 -1/4 (/.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (sqrt.f64 1/2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2)))) (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2))))) (*.f64 (pow.f64 x 2) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))))
(+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 1/8 (*.f64 (sqrt.f64 1/2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2))) (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))) x)) (-.f64 (+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (/.f64 1/64 (*.f64 (pow.f64 x 2) (*.f64 (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2) (pow.f64 (sqrt.f64 1/2) 3))))) (*.f64 -1/4 (/.f64 (+.f64 (/.f64 1/8 (*.f64 (sqrt.f64 1/2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2))) (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))) (*.f64 (pow.f64 x 2) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))))
(+.f64 (+.f64 (-.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (/.f64 (+.f64 (/.f64 1/8 (*.f64 (+.f64 1 (sqrt.f64 1/2)) (+.f64 1/2 (sqrt.f64 1/2)))) (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))) x)) (*.f64 1/64 (/.f64 (/.f64 (/.f64 2 (sqrt.f64 1/2)) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2)) (pow.f64 x 2)))) (*.f64 1/4 (/.f64 (+.f64 (/.f64 1/8 (*.f64 (+.f64 1 (sqrt.f64 1/2)) (+.f64 1/2 (sqrt.f64 1/2)))) (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))) (*.f64 (pow.f64 x 2) (+.f64 1/2 (sqrt.f64 1/2))))))
(-.f64 (+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (/.f64 (+.f64 (*.f64 1/64 (/.f64 (/.f64 2 (sqrt.f64 1/2)) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2))) (*.f64 1/4 (/.f64 (+.f64 (/.f64 1/8 (*.f64 (+.f64 1 (sqrt.f64 1/2)) (+.f64 1/2 (sqrt.f64 1/2)))) (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))) (+.f64 1/2 (sqrt.f64 1/2))))) (pow.f64 x 2))) (/.f64 (+.f64 (/.f64 1/8 (*.f64 (+.f64 1 (sqrt.f64 1/2)) (+.f64 1/2 (sqrt.f64 1/2)))) (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))) x))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (sqrt.f64 1/2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2)))) (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2))))) x)) (+.f64 (*.f64 1/64 (/.f64 1 (*.f64 (pow.f64 x 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2))))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 x 3) (+.f64 1 (sqrt.f64 1/2))))) (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2))))))) (+.f64 (*.f64 -1/4 (/.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (sqrt.f64 1/2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2)))) (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2))))) (*.f64 (pow.f64 x 2) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) (+.f64 (*.f64 1/32 (/.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (sqrt.f64 1/2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2)))) (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2))))) (*.f64 (pow.f64 x 3) (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (+.f64 1 (sqrt.f64 1/2)))))) (+.f64 (*.f64 1/4 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2)))) (*.f64 -1/4 (/.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (sqrt.f64 1/2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2)))) (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2))))) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) (*.f64 (pow.f64 x 3) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) (*.f64 1/4 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (*.f64 (pow.f64 x 3) (*.f64 (sqrt.f64 1/2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2)))))))))
(-.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 1/8 (*.f64 (sqrt.f64 1/2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2))) (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))) x)) (+.f64 (/.f64 1/64 (*.f64 (pow.f64 x 2) (*.f64 (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2) (pow.f64 (sqrt.f64 1/2) 3)))) (+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (/.f64 1/4 (*.f64 (pow.f64 x 3) (+.f64 1 (sqrt.f64 1/2))))))) (+.f64 (*.f64 -1/4 (/.f64 (+.f64 (/.f64 1/8 (*.f64 (sqrt.f64 1/2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2))) (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))) (*.f64 (pow.f64 x 2) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) (+.f64 (*.f64 1/32 (/.f64 (+.f64 (/.f64 1/8 (*.f64 (sqrt.f64 1/2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2))) (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))) (*.f64 (pow.f64 x 3) (*.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 (sqrt.f64 1/2) 3))))) (*.f64 1/4 (+.f64 (/.f64 (-.f64 (/.f64 1/64 (*.f64 (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2) (pow.f64 (sqrt.f64 1/2) 3))) (*.f64 -1/4 (/.f64 (+.f64 (/.f64 1/8 (*.f64 (sqrt.f64 1/2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2))) (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) (*.f64 (pow.f64 x 3) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))) (/.f64 (+.f64 (/.f64 1/64 (pow.f64 (sqrt.f64 1/2) 4)) -1/4) (*.f64 (pow.f64 x 3) (*.f64 (sqrt.f64 1/2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2)))))))))
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2
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(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 4) 3) -1331/2097152))
(pow.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 -11/128)) 2)
(*.f64 (pow.f64 x 4) -11/128)
(sqrt.f64 (*.f64 (pow.f64 x 8) 121/16384))
(log.f64 (pow.f64 (exp.f64 -11/128) (pow.f64 x 4)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -11/128 (pow.f64 x 4)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 4) -11/128))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 4) 3) -1331/2097152))
(expm1.f64 (log1p.f64 (*.f64 -11/128 (pow.f64 x 4))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 4) -11/128)))
(exp.f64 (log.f64 (*.f64 -11/128 (pow.f64 x 4))))
(*.f64 (pow.f64 x 4) -11/128)
(exp.f64 (*.f64 (log.f64 (*.f64 -11/128 (pow.f64 x 4))) 1))
(*.f64 (pow.f64 x 4) -11/128)
(log1p.f64 (expm1.f64 (*.f64 -11/128 (pow.f64 x 4))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 4) -11/128)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/8 (pow.f64 x 2)))) 1)
(+.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 2) 1/8))) -1)
(+.f64 -1 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 2) 1/8))))
(pow.f64 (*.f64 1/8 (pow.f64 x 2)) 1)
(*.f64 (pow.f64 x 2) 1/8)
(pow.f64 (cbrt.f64 (*.f64 1/8 (pow.f64 x 2))) 3)
(*.f64 (pow.f64 x 2) 1/8)
(pow.f64 (*.f64 (pow.f64 x 6) 1/512) 1/3)
(cbrt.f64 (*.f64 (pow.f64 x 6) 1/512))
(pow.f64 (*.f64 x (sqrt.f64 1/8)) 2)
(*.f64 (pow.f64 x 2) 1/8)
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/64))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 1/8))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/8 (pow.f64 x 2)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 2) 1/8))))
(cbrt.f64 (*.f64 (pow.f64 x 6) 1/512))
(expm1.f64 (log1p.f64 (*.f64 1/8 (pow.f64 x 2))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 2) 1/8)))
(exp.f64 (log.f64 (*.f64 1/8 (pow.f64 x 2))))
(*.f64 (pow.f64 x 2) 1/8)
(exp.f64 (*.f64 (log.f64 (*.f64 1/8 (pow.f64 x 2))) 1))
(*.f64 (pow.f64 x 2) 1/8)
(log1p.f64 (expm1.f64 (*.f64 1/8 (pow.f64 x 2))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 2) 1/8)))

eval489.0ms (5.1%)

Compiler

Compiled 15840 to 14272 computations (9.9% saved)

prune98.0ms (1%)

Pruning

18 alts after pruning (12 fresh and 6 done)

PrunedKeptTotal
New5939602
Fresh336
Picked055
Done011
Total59618614
Accuracy
100.0%
Counts
614 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.4%
(pow.f64 (*.f64 x (sqrt.f64 1/8)) 2)
51.1%
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)) (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 3/2 (/.f64 1/2 x))))
77.7%
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
38.1%
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2)
51.2%
(/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
52.1%
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
76.9%
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
50.4%
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
50.2%
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
51.4%
(-.f64 1 (sqrt.f64 1/2))
27.6%
(-.f64 1 1)
32.5%
(+.f64 (pow.f64 (*.f64 (pow.f64 x 6) 1/512) 1/3) (*.f64 -11/128 (pow.f64 x 4)))
48.7%
(+.f64 (pow.f64 (*.f64 x (sqrt.f64 1/8)) 2) (*.f64 -11/128 (pow.f64 x 4)))
50.6%
(+.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) (-.f64 1 (sqrt.f64 1/2)))
49.4%
(+.f64 (*.f64 (pow.f64 x 4) -11/128) (+.f64 (*.f64 (pow.f64 x 2) 1/8) (*.f64 (pow.f64 x 6) 69/1024)))
49.0%
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4)))
50.7%
(*.f64 1/8 (pow.f64 x 2))
34.5%
(cbrt.f64 (*.f64 (pow.f64 x 6) 1/512))
Compiler

Compiled 341 to 300 computations (12% saved)

localize469.0ms (4.9%)

Localize:

Found 9 expressions with local error:

NewAccuracyProgram
100.0%
(+.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) (-.f64 1 (sqrt.f64 1/2)))
99.5%
(/.f64 1/4 (*.f64 x (sqrt.f64 1/2)))
99.3%
(*.f64 x (sqrt.f64 1/2))
98.4%
(-.f64 1 (sqrt.f64 1/2))
69.2%
(cbrt.f64 (*.f64 (pow.f64 x 6) 1/512))
100.0%
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2)
100.0%
(/.f64 1/2 (hypot.f64 1 x))
77.6%
(-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))
98.4%
(-.f64 1 (sqrt.f64 1/2))
Compiler

Compiled 100 to 87 computations (13% saved)

series17.0ms (0.2%)

Counts
7 → 36
Calls

15 calls:

TimeVariablePointExpression
3.0ms
x
@0
(cbrt.f64 (*.f64 (pow.f64 x 6) 1/512))
3.0ms
x
@0
(/.f64 1/4 (*.f64 x (sqrt.f64 1/2)))
1.0ms
x
@inf
(/.f64 1/4 (*.f64 x (sqrt.f64 1/2)))
1.0ms
x
@0
(*.f64 x (sqrt.f64 1/2))
1.0ms
x
@0
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2)

rewrite167.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
1792×prod-diff
891×log1p-expm1-u
214×associate-*r*
152×expm1-log1p-u
148×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
024140
1343134
24872134
Stop Event
node limit
Counts
7 → 207
Calls
Call 1
Inputs
(-.f64 1 (sqrt.f64 1/2))
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2)
(cbrt.f64 (*.f64 (pow.f64 x 6) 1/512))
(-.f64 1 (sqrt.f64 1/2))
(*.f64 x (sqrt.f64 1/2))
(/.f64 1/4 (*.f64 x (sqrt.f64 1/2)))
(+.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) (-.f64 1 (sqrt.f64 1/2)))
Outputs
(+.f64 1 (neg.f64 (sqrt.f64 1/2)))
(+.f64 1 (*.f64 (neg.f64 (sqrt.f64 1/2)) 1))
(+.f64 (neg.f64 (sqrt.f64 1/2)) 1)
(*.f64 1 (-.f64 1 (sqrt.f64 1/2)))
(*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2))))
(*.f64 (-.f64 1 (sqrt.f64 1/2)) 1)
(*.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 1/2))) (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 1/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 1/2))) 2) (cbrt.f64 (-.f64 1 (sqrt.f64 1/2))))
(*.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (sqrt.f64 1/2))))
(*.f64 (-.f64 1 (pow.f64 1/2 3/2)) (/.f64 1 (+.f64 3/2 (sqrt.f64 1/2))))
(/.f64 1 (/.f64 (+.f64 3/2 (sqrt.f64 1/2)) (-.f64 1 (pow.f64 1/2 3/2))))
(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 1/2)) 1/2))
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
(/.f64 -1/2 (neg.f64 (+.f64 1 (sqrt.f64 1/2))))
(/.f64 (-.f64 1 (pow.f64 1/2 3/2)) (+.f64 3/2 (sqrt.f64 1/2)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 1/2 3/2))) (neg.f64 (+.f64 3/2 (sqrt.f64 1/2))))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (sqrt.f64 1/2)) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (sqrt.f64 1/2)) (neg.f64 (sqrt.f64 1/2))) (neg.f64 (sqrt.f64 1/2)))))
(/.f64 (-.f64 1 (*.f64 (neg.f64 (sqrt.f64 1/2)) (neg.f64 (sqrt.f64 1/2)))) (-.f64 1 (neg.f64 (sqrt.f64 1/2))))
(pow.f64 (-.f64 1 (sqrt.f64 1/2)) 1)
(pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 1/2))) 3)
(pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 1/2))) 2)
(sqrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))
(log.f64 (exp.f64 (-.f64 1 (sqrt.f64 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (sqrt.f64 1/2)))))
(cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3))
(expm1.f64 (log1p.f64 (-.f64 1 (sqrt.f64 1/2))))
(exp.f64 (log1p.f64 (neg.f64 (sqrt.f64 1/2))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (sqrt.f64 1/2))) 1))
(log1p.f64 (expm1.f64 (-.f64 1 (sqrt.f64 1/2))))
(+.f64 1/4 (neg.f64 (/.f64 1/4 (hypot.f64 1 x))))
(-.f64 1/4 (/.f64 1/4 (hypot.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (-.f64 1/4 (/.f64 1/4 (hypot.f64 1 x))))) 1)
(*.f64 1 (-.f64 1/4 (/.f64 1/4 (hypot.f64 1 x))))
(*.f64 1/2 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))))
(*.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) 1/2)
(*.f64 (-.f64 1/4 (/.f64 1/4 (hypot.f64 1 x))) 1)
(*.f64 (cbrt.f64 (-.f64 1/4 (/.f64 1/4 (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (-.f64 1/4 (/.f64 1/4 (hypot.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1/4 (/.f64 1/4 (hypot.f64 1 x)))) 2) (cbrt.f64 (-.f64 1/4 (/.f64 1/4 (hypot.f64 1 x)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) 2) (*.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) 2) (/.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) 2))
(*.f64 (sqrt.f64 (-.f64 1/4 (/.f64 1/4 (hypot.f64 1 x)))) (sqrt.f64 (-.f64 1/4 (/.f64 1/4 (hypot.f64 1 x)))))
(*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) 1/2))
(*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) 2))
(*.f64 (+.f64 -1/2 (/.f64 1/2 (hypot.f64 1 x))) -1/2)
(pow.f64 (-.f64 1/4 (/.f64 1/4 (hypot.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (-.f64 1/4 (/.f64 1/4 (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (-.f64 1/4 (/.f64 1/4 (hypot.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 1/4 (/.f64 1/4 (hypot.f64 1 x)))) 2)
(pow.f64 (/.f64 2 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) -1)
(neg.f64 (/.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) -2))
(sqrt.f64 (pow.f64 (-.f64 1/4 (/.f64 1/4 (hypot.f64 1 x))) 2))
(log.f64 (exp.f64 (-.f64 1/4 (/.f64 1/4 (hypot.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1/4 (/.f64 1/4 (hypot.f64 1 x))))))
(cbrt.f64 (pow.f64 (-.f64 1/4 (/.f64 1/4 (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (-.f64 1/4 (/.f64 1/4 (hypot.f64 1 x)))))
(exp.f64 (log.f64 (-.f64 1/4 (/.f64 1/4 (hypot.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (-.f64 1/4 (/.f64 1/4 (hypot.f64 1 x)))) 1))
(log1p.f64 (expm1.f64 (-.f64 1/4 (/.f64 1/4 (hypot.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 2) (cbrt.f64 1/512)))) 1)
(*.f64 1 (*.f64 (pow.f64 x 2) (cbrt.f64 1/512)))
(*.f64 (*.f64 (pow.f64 x 2) (cbrt.f64 1/512)) 1)
(*.f64 (pow.f64 x 2) (cbrt.f64 1/512))
(*.f64 (cbrt.f64 1/512) (pow.f64 x 2))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) (cbrt.f64 1/512))) (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 12) 1/262144))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 12) 1/262144))) (cbrt.f64 (*.f64 (pow.f64 x 2) (cbrt.f64 1/512))))
(*.f64 (*.f64 x (sqrt.f64 (cbrt.f64 1/512))) (*.f64 x (sqrt.f64 (cbrt.f64 1/512))))
(*.f64 (pow.f64 1 1/3) (*.f64 (pow.f64 x 2) (cbrt.f64 1/512)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 12) 1/262144)) 1/3) (cbrt.f64 (*.f64 (pow.f64 x 2) (cbrt.f64 1/512))))
(*.f64 (pow.f64 (*.f64 (pow.f64 x 3) (sqrt.f64 1/512)) 1/3) (pow.f64 (*.f64 (pow.f64 x 3) (sqrt.f64 1/512)) 1/3))
(pow.f64 (*.f64 (pow.f64 x 6) 1/512) 1/3)
(pow.f64 (*.f64 (pow.f64 x 2) (cbrt.f64 1/512)) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) (cbrt.f64 1/512))) 3)
(pow.f64 (*.f64 x (sqrt.f64 (cbrt.f64 1/512))) 2)
(sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 12) 1/262144)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) (cbrt.f64 1/512)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 2) (cbrt.f64 1/512)))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 2) (cbrt.f64 1/512))))
(exp.f64 (log.f64 (*.f64 (pow.f64 x 2) (cbrt.f64 1/512))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 6) 1/512)) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 2) (cbrt.f64 1/512))) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 2) (cbrt.f64 1/512))))
(+.f64 1 (neg.f64 (sqrt.f64 1/2)))
(+.f64 1 (*.f64 (neg.f64 (sqrt.f64 1/2)) 1))
(+.f64 (neg.f64 (sqrt.f64 1/2)) 1)
(*.f64 1 (-.f64 1 (sqrt.f64 1/2)))
(*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2))))
(*.f64 (-.f64 1 (sqrt.f64 1/2)) 1)
(*.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 1/2))) (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 1/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 1/2))) 2) (cbrt.f64 (-.f64 1 (sqrt.f64 1/2))))
(*.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (sqrt.f64 1/2))))
(*.f64 (-.f64 1 (pow.f64 1/2 3/2)) (/.f64 1 (+.f64 3/2 (sqrt.f64 1/2))))
(/.f64 1 (/.f64 (+.f64 3/2 (sqrt.f64 1/2)) (-.f64 1 (pow.f64 1/2 3/2))))
(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 1/2)) 1/2))
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
(/.f64 -1/2 (neg.f64 (+.f64 1 (sqrt.f64 1/2))))
(/.f64 (-.f64 1 (pow.f64 1/2 3/2)) (+.f64 3/2 (sqrt.f64 1/2)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 1/2 3/2))) (neg.f64 (+.f64 3/2 (sqrt.f64 1/2))))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (sqrt.f64 1/2)) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (sqrt.f64 1/2)) (neg.f64 (sqrt.f64 1/2))) (neg.f64 (sqrt.f64 1/2)))))
(/.f64 (-.f64 1 (*.f64 (neg.f64 (sqrt.f64 1/2)) (neg.f64 (sqrt.f64 1/2)))) (-.f64 1 (neg.f64 (sqrt.f64 1/2))))
(pow.f64 (-.f64 1 (sqrt.f64 1/2)) 1)
(pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 1/2))) 3)
(pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 1/2))) 2)
(sqrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))
(log.f64 (exp.f64 (-.f64 1 (sqrt.f64 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (sqrt.f64 1/2)))))
(cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3))
(expm1.f64 (log1p.f64 (-.f64 1 (sqrt.f64 1/2))))
(exp.f64 (log1p.f64 (neg.f64 (sqrt.f64 1/2))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (sqrt.f64 1/2))) 1))
(log1p.f64 (expm1.f64 (-.f64 1 (sqrt.f64 1/2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) x))) 1)
(pow.f64 (*.f64 (sqrt.f64 1/2) x) 1)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) x)) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) x) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) x)) 2)
(sqrt.f64 (*.f64 1/2 (pow.f64 x 2)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 1/2) x))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) x) 3))
(cbrt.f64 (*.f64 (pow.f64 1/2 3/2) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 1/2 3/2)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) x)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 1/2) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 1/2) x)) 1))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 1/2) x)))
(-.f64 (+.f64 1 (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2))) 1)
(*.f64 1 (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)))
(*.f64 1/4 (/.f64 (/.f64 1 x) (sqrt.f64 1/2)))
(*.f64 (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)) 1)
(*.f64 (cbrt.f64 (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2))) (cbrt.f64 (/.f64 1/16 (*.f64 1/2 (pow.f64 x 2)))))
(*.f64 (cbrt.f64 (/.f64 1/16 (*.f64 1/2 (pow.f64 x 2)))) (cbrt.f64 (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2))))
(*.f64 (/.f64 1/2 (sqrt.f64 (*.f64 (sqrt.f64 1/2) x))) (/.f64 1/2 (sqrt.f64 (*.f64 (sqrt.f64 1/2) x))))
(*.f64 -1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (neg.f64 x))))
(*.f64 (/.f64 (/.f64 1 x) (sqrt.f64 1/2)) 1/4)
(*.f64 (/.f64 1/4 x) (/.f64 1 (sqrt.f64 1/2)))
(pow.f64 (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)) 1)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2))) 3)
(pow.f64 (/.f64 1/64 (pow.f64 (*.f64 (sqrt.f64 1/2) x) 3)) 1/3)
(pow.f64 (/.f64 1/2 (sqrt.f64 (*.f64 (sqrt.f64 1/2) x))) 2)
(pow.f64 (*.f64 (sqrt.f64 1/2) (/.f64 x 1/4)) -1)
(neg.f64 (/.f64 -1/4 (*.f64 (sqrt.f64 1/2) x)))
(sqrt.f64 (/.f64 1/16 (*.f64 1/2 (pow.f64 x 2))))
(log.f64 (exp.f64 (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)))))
(cbrt.f64 (/.f64 1/64 (pow.f64 (*.f64 (sqrt.f64 1/2) x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2))))
(exp.f64 (log.f64 (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2))) 1))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2))))
(-.f64 1 (-.f64 (sqrt.f64 1/2) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2))))
(-.f64 (+.f64 1 (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2))) (sqrt.f64 1/2))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2))))) 1)
(-.f64 (/.f64 (/.f64 1/16 (*.f64 1/2 (pow.f64 x 2))) (-.f64 (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2)))) (/.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2) (-.f64 (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2)))))
(*.f64 1 (+.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2))))
(*.f64 (+.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2))) 1)
(*.f64 (cbrt.f64 (+.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)))) (pow.f64 (cbrt.f64 (+.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)))) 2) (cbrt.f64 (+.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)))))
(*.f64 (sqrt.f64 (+.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)))) (sqrt.f64 (+.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)))))
(*.f64 (+.f64 (/.f64 1/64 (pow.f64 (*.f64 (sqrt.f64 1/2) x) 3)) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3)) (/.f64 1 (+.f64 (/.f64 1/16 (*.f64 1/2 (pow.f64 x 2))) (*.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)))))))
(*.f64 (-.f64 (/.f64 1/16 (*.f64 1/2 (pow.f64 x 2))) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)) (/.f64 1 (-.f64 (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2)))))
(/.f64 1 (/.f64 (+.f64 (/.f64 1/16 (*.f64 1/2 (pow.f64 x 2))) (*.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2))))) (+.f64 (/.f64 1/64 (pow.f64 (*.f64 (sqrt.f64 1/2) x) 3)) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3))))
(/.f64 1 (/.f64 (-.f64 (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))) (-.f64 (/.f64 1/16 (*.f64 1/2 (pow.f64 x 2))) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))))
(/.f64 (+.f64 (/.f64 1/64 (pow.f64 (*.f64 (sqrt.f64 1/2) x) 3)) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3)) (+.f64 (/.f64 1/16 (*.f64 1/2 (pow.f64 x 2))) (*.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2))))))
(/.f64 (+.f64 (/.f64 1/64 (pow.f64 (*.f64 (sqrt.f64 1/2) x) 3)) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3)) (+.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2) (-.f64 (/.f64 1/16 (*.f64 1/2 (pow.f64 x 2))) (/.f64 (*.f64 (/.f64 1/4 x) 1/2) (+.f64 1/2 (sqrt.f64 1/2))))))
(/.f64 (-.f64 (/.f64 1/16 (*.f64 1/2 (pow.f64 x 2))) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)) (-.f64 (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2))))
(/.f64 (+.f64 (*.f64 (-.f64 1 (pow.f64 1/2 3/2)) (*.f64 (sqrt.f64 1/2) (/.f64 x 1/4))) (*.f64 (+.f64 3/2 (sqrt.f64 1/2)) 1)) (*.f64 (+.f64 3/2 (sqrt.f64 1/2)) (*.f64 (sqrt.f64 1/2) (/.f64 x 1/4))))
(/.f64 (+.f64 (*.f64 (-.f64 1 (pow.f64 1/2 3/2)) (*.f64 (sqrt.f64 1/2) x)) (*.f64 (+.f64 3/2 (sqrt.f64 1/2)) 1/4)) (*.f64 (+.f64 3/2 (sqrt.f64 1/2)) (*.f64 (sqrt.f64 1/2) x)))
(/.f64 (+.f64 (*.f64 (-.f64 1 (pow.f64 1/2 3/2)) (*.f64 (sqrt.f64 1/2) (neg.f64 x))) (*.f64 (+.f64 3/2 (sqrt.f64 1/2)) -1/4)) (*.f64 (+.f64 3/2 (sqrt.f64 1/2)) (*.f64 (sqrt.f64 1/2) (neg.f64 x))))
(/.f64 (+.f64 (*.f64 (-.f64 1 (pow.f64 1/2 3/2)) (sqrt.f64 1/2)) (*.f64 (+.f64 3/2 (sqrt.f64 1/2)) (/.f64 1/4 x))) (*.f64 (+.f64 3/2 (sqrt.f64 1/2)) (sqrt.f64 1/2)))
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 1/2) (/.f64 x 1/4))) (*.f64 (+.f64 1 (sqrt.f64 1/2)) 1)) (*.f64 (+.f64 1 (sqrt.f64 1/2)) (*.f64 (sqrt.f64 1/2) (/.f64 x 1/4))))
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 1/2) x)) (*.f64 (+.f64 1 (sqrt.f64 1/2)) 1/4)) (*.f64 (+.f64 1 (sqrt.f64 1/2)) (*.f64 (sqrt.f64 1/2) x)))
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 1/2) (neg.f64 x))) (*.f64 (+.f64 1 (sqrt.f64 1/2)) -1/4)) (*.f64 (+.f64 1 (sqrt.f64 1/2)) (*.f64 (sqrt.f64 1/2) (neg.f64 x))))
(/.f64 (+.f64 (pow.f64 1/2 3/2) (*.f64 (+.f64 1 (sqrt.f64 1/2)) (/.f64 1/4 x))) (+.f64 1/2 (sqrt.f64 1/2)))
(/.f64 (+.f64 (+.f64 3/2 (sqrt.f64 1/2)) (*.f64 (*.f64 (sqrt.f64 1/2) (/.f64 x 1/4)) (-.f64 1 (pow.f64 1/2 3/2)))) (*.f64 (*.f64 (sqrt.f64 1/2) (/.f64 x 1/4)) (+.f64 3/2 (sqrt.f64 1/2))))
(/.f64 (+.f64 (+.f64 1 (sqrt.f64 1/2)) (*.f64 (*.f64 (sqrt.f64 1/2) (/.f64 x 1/4)) 1/2)) (*.f64 (*.f64 (sqrt.f64 1/2) (/.f64 x 1/4)) (+.f64 1 (sqrt.f64 1/2))))
(/.f64 (+.f64 (*.f64 1/4 (+.f64 3/2 (sqrt.f64 1/2))) (*.f64 (*.f64 (sqrt.f64 1/2) x) (-.f64 1 (pow.f64 1/2 3/2)))) (*.f64 (*.f64 (sqrt.f64 1/2) x) (+.f64 3/2 (sqrt.f64 1/2))))
(/.f64 (+.f64 (*.f64 1/4 (+.f64 1 (sqrt.f64 1/2))) (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2)) (*.f64 (*.f64 (sqrt.f64 1/2) x) (+.f64 1 (sqrt.f64 1/2))))
(/.f64 (+.f64 (*.f64 -1/4 (+.f64 3/2 (sqrt.f64 1/2))) (*.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 x)) (-.f64 1 (pow.f64 1/2 3/2)))) (*.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 x)) (+.f64 3/2 (sqrt.f64 1/2))))
(/.f64 (+.f64 (*.f64 -1/4 (+.f64 1 (sqrt.f64 1/2))) (*.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 x)) 1/2)) (*.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 x)) (+.f64 1 (sqrt.f64 1/2))))
(/.f64 (+.f64 (*.f64 (/.f64 1/4 x) (+.f64 3/2 (sqrt.f64 1/2))) (*.f64 (sqrt.f64 1/2) (-.f64 1 (pow.f64 1/2 3/2)))) (*.f64 (sqrt.f64 1/2) (+.f64 3/2 (sqrt.f64 1/2))))
(/.f64 (+.f64 (*.f64 (/.f64 1/4 x) (+.f64 1 (sqrt.f64 1/2))) (pow.f64 1/2 3/2)) (+.f64 1/2 (sqrt.f64 1/2)))
(/.f64 (neg.f64 (+.f64 (/.f64 1/64 (pow.f64 (*.f64 (sqrt.f64 1/2) x) 3)) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3))) (neg.f64 (+.f64 (/.f64 1/16 (*.f64 1/2 (pow.f64 x 2))) (*.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)))))))
(/.f64 (neg.f64 (-.f64 (/.f64 1/16 (*.f64 1/2 (pow.f64 x 2))) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))) (neg.f64 (-.f64 (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2))) 3) (pow.f64 1/2 3/2)) (+.f64 (*.f64 (+.f64 1 (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2))) (+.f64 1 (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)))) (+.f64 1/2 (*.f64 (+.f64 1 (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2))) (sqrt.f64 1/2)))))
(/.f64 (-.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2) (/.f64 1/16 (*.f64 1/2 (pow.f64 x 2)))) (-.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2))))
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2))) (+.f64 1 (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)))) 1/2) (+.f64 (+.f64 1 (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2))) (sqrt.f64 1/2)))
(pow.f64 (+.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2))) 1)
(pow.f64 (cbrt.f64 (+.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)))) 3)
(pow.f64 (pow.f64 (+.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)))) 2)
(sqrt.f64 (pow.f64 (+.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2))) 2))
(log.f64 (exp.f64 (+.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2))))))
(cbrt.f64 (pow.f64 (+.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2))) 3))
(expm1.f64 (log1p.f64 (+.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)))))
(exp.f64 (log.f64 (+.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)))))
(fma.f64 1 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)))
(fma.f64 1 (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2)))
(fma.f64 1/4 (/.f64 (/.f64 1 x) (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2)))
(fma.f64 (cbrt.f64 (/.f64 1/16 (*.f64 1/2 (pow.f64 x 2)))) (cbrt.f64 (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2))) (-.f64 1 (sqrt.f64 1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 1/2))) 2) (cbrt.f64 (-.f64 1 (sqrt.f64 1/2))) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)))
(fma.f64 (/.f64 1/2 (sqrt.f64 (*.f64 (sqrt.f64 1/2) x))) (/.f64 1/2 (sqrt.f64 (*.f64 (sqrt.f64 1/2) x))) (-.f64 1 (sqrt.f64 1/2)))
(fma.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (sqrt.f64 1/2))) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)))

simplify132.0ms (1.4%)

Algorithm
egg-herbie
Rules
1164×distribute-lft-in
1106×distribute-rgt-in
886×times-frac
454×associate-+l+
444×cancel-sign-sub-inv
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04698316
110228027
230027818
Stop Event
node limit
Counts
243 → 303
Calls
Call 1
Inputs
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (*.f64 -3/32 (pow.f64 x 4)) (*.f64 1/8 (pow.f64 x 2)))
(+.f64 (*.f64 -3/32 (pow.f64 x 4)) (+.f64 (*.f64 5/64 (pow.f64 x 6)) (*.f64 1/8 (pow.f64 x 2))))
(+.f64 (*.f64 -3/32 (pow.f64 x 4)) (+.f64 (*.f64 -35/512 (pow.f64 x 8)) (+.f64 (*.f64 5/64 (pow.f64 x 6)) (*.f64 1/8 (pow.f64 x 2)))))
1/4
(-.f64 1/4 (*.f64 1/4 (/.f64 1 x)))
(-.f64 (+.f64 1/4 (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/4 (/.f64 1 x)))
(-.f64 (+.f64 1/4 (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 5))) (*.f64 1/4 (/.f64 1 x))))
1/4
(+.f64 1/4 (*.f64 1/4 (/.f64 1 x)))
(-.f64 (+.f64 1/4 (*.f64 1/4 (/.f64 1 x))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 1/4 (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 5))) (*.f64 1/4 (/.f64 1 x)))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(*.f64 (pow.f64 x 2) (cbrt.f64 1/512))
(*.f64 (pow.f64 x 2) (cbrt.f64 1/512))
(*.f64 (pow.f64 x 2) (cbrt.f64 1/512))
(*.f64 (pow.f64 x 2) (cbrt.f64 1/512))
(*.f64 (pow.f64 x 2) (cbrt.f64 1/512))
(*.f64 (pow.f64 x 2) (cbrt.f64 1/512))
(*.f64 (pow.f64 x 2) (cbrt.f64 1/512))
(*.f64 (pow.f64 x 2) (cbrt.f64 1/512))
(*.f64 (pow.f64 x 2) (cbrt.f64 1/512))
(*.f64 (pow.f64 x 2) (cbrt.f64 1/512))
(*.f64 (pow.f64 x 2) (cbrt.f64 1/512))
(*.f64 (pow.f64 x 2) (cbrt.f64 1/512))
(/.f64 1/4 (*.f64 x (sqrt.f64 1/2)))
(-.f64 (+.f64 1 (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2))))) (sqrt.f64 1/2))
(-.f64 (+.f64 1 (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2))))) (sqrt.f64 1/2))
(-.f64 (+.f64 1 (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2))))) (sqrt.f64 1/2))
(-.f64 1 (sqrt.f64 1/2))
(-.f64 (+.f64 1 (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2))))) (sqrt.f64 1/2))
(-.f64 (+.f64 1 (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2))))) (sqrt.f64 1/2))
(-.f64 (+.f64 1 (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2))))) (sqrt.f64 1/2))
(-.f64 1 (sqrt.f64 1/2))
(-.f64 (+.f64 1 (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2))))) (sqrt.f64 1/2))
(-.f64 (+.f64 1 (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2))))) (sqrt.f64 1/2))
(-.f64 (+.f64 1 (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2))))) (sqrt.f64 1/2))
(+.f64 1 (neg.f64 (sqrt.f64 1/2)))
(+.f64 1 (*.f64 (neg.f64 (sqrt.f64 1/2)) 1))
(+.f64 (neg.f64 (sqrt.f64 1/2)) 1)
(*.f64 1 (-.f64 1 (sqrt.f64 1/2)))
(*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2))))
(*.f64 (-.f64 1 (sqrt.f64 1/2)) 1)
(*.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 1/2))) (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 1/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 1/2))) 2) (cbrt.f64 (-.f64 1 (sqrt.f64 1/2))))
(*.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (sqrt.f64 1/2))))
(*.f64 (-.f64 1 (pow.f64 1/2 3/2)) (/.f64 1 (+.f64 3/2 (sqrt.f64 1/2))))
(/.f64 1 (/.f64 (+.f64 3/2 (sqrt.f64 1/2)) (-.f64 1 (pow.f64 1/2 3/2))))
(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 1/2)) 1/2))
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
(/.f64 -1/2 (neg.f64 (+.f64 1 (sqrt.f64 1/2))))
(/.f64 (-.f64 1 (pow.f64 1/2 3/2)) (+.f64 3/2 (sqrt.f64 1/2)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 1/2 3/2))) (neg.f64 (+.f64 3/2 (sqrt.f64 1/2))))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (sqrt.f64 1/2)) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (sqrt.f64 1/2)) (neg.f64 (sqrt.f64 1/2))) (neg.f64 (sqrt.f64 1/2)))))
(/.f64 (-.f64 1 (*.f64 (neg.f64 (sqrt.f64 1/2)) (neg.f64 (sqrt.f64 1/2)))) (-.f64 1 (neg.f64 (sqrt.f64 1/2))))
(pow.f64 (-.f64 1 (sqrt.f64 1/2)) 1)
(pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 1/2))) 3)
(pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 1/2))) 2)
(sqrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))
(log.f64 (exp.f64 (-.f64 1 (sqrt.f64 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (sqrt.f64 1/2)))))
(cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3))
(expm1.f64 (log1p.f64 (-.f64 1 (sqrt.f64 1/2))))
(exp.f64 (log1p.f64 (neg.f64 (sqrt.f64 1/2))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (sqrt.f64 1/2))) 1))
(log1p.f64 (expm1.f64 (-.f64 1 (sqrt.f64 1/2))))
(+.f64 1/4 (neg.f64 (/.f64 1/4 (hypot.f64 1 x))))
(-.f64 1/4 (/.f64 1/4 (hypot.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (-.f64 1/4 (/.f64 1/4 (hypot.f64 1 x))))) 1)
(*.f64 1 (-.f64 1/4 (/.f64 1/4 (hypot.f64 1 x))))
(*.f64 1/2 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))))
(*.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) 1/2)
(*.f64 (-.f64 1/4 (/.f64 1/4 (hypot.f64 1 x))) 1)
(*.f64 (cbrt.f64 (-.f64 1/4 (/.f64 1/4 (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (-.f64 1/4 (/.f64 1/4 (hypot.f64 1 x)))) 2))
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(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2))) 3) (pow.f64 1/2 3/2)) (+.f64 (*.f64 (+.f64 1 (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2))) (+.f64 1 (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)))) (+.f64 1/2 (*.f64 (+.f64 1 (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2))) (sqrt.f64 1/2)))))
(/.f64 (-.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2) (/.f64 1/16 (*.f64 1/2 (pow.f64 x 2)))) (-.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2))))
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2))) (+.f64 1 (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)))) 1/2) (+.f64 (+.f64 1 (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2))) (sqrt.f64 1/2)))
(pow.f64 (+.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2))) 1)
(pow.f64 (cbrt.f64 (+.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)))) 3)
(pow.f64 (pow.f64 (+.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)))) 2)
(sqrt.f64 (pow.f64 (+.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2))) 2))
(log.f64 (exp.f64 (+.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2))))))
(cbrt.f64 (pow.f64 (+.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2))) 3))
(expm1.f64 (log1p.f64 (+.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)))))
(exp.f64 (log.f64 (+.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)))))
(fma.f64 1 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)))
(fma.f64 1 (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2)))
(fma.f64 1/4 (/.f64 (/.f64 1 x) (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2)))
(fma.f64 (cbrt.f64 (/.f64 1/16 (*.f64 1/2 (pow.f64 x 2)))) (cbrt.f64 (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2))) (-.f64 1 (sqrt.f64 1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 1/2))) 2) (cbrt.f64 (-.f64 1 (sqrt.f64 1/2))) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)))
(fma.f64 (/.f64 1/2 (sqrt.f64 (*.f64 (sqrt.f64 1/2) x))) (/.f64 1/2 (sqrt.f64 (*.f64 (sqrt.f64 1/2) x))) (-.f64 1 (sqrt.f64 1/2)))
(fma.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (sqrt.f64 1/2))) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)))
Outputs
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (*.f64 -3/32 (pow.f64 x 4)) (*.f64 1/8 (pow.f64 x 2)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 -3/32 (pow.f64 x 4)))
(+.f64 (*.f64 -3/32 (pow.f64 x 4)) (+.f64 (*.f64 5/64 (pow.f64 x 6)) (*.f64 1/8 (pow.f64 x 2))))
(+.f64 (*.f64 -3/32 (pow.f64 x 4)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 5/64 (pow.f64 x 6))))
(+.f64 (*.f64 -3/32 (pow.f64 x 4)) (+.f64 (*.f64 -35/512 (pow.f64 x 8)) (+.f64 (*.f64 5/64 (pow.f64 x 6)) (*.f64 1/8 (pow.f64 x 2)))))
(+.f64 (*.f64 -3/32 (pow.f64 x 4)) (+.f64 (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 5/64 (pow.f64 x 6))) (*.f64 -35/512 (pow.f64 x 8))))
(+.f64 (*.f64 -3/32 (pow.f64 x 4)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 5/64 (pow.f64 x 6)) (*.f64 -35/512 (pow.f64 x 8)))))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -3/32 (pow.f64 x 4)) (+.f64 (*.f64 5/64 (pow.f64 x 6)) (*.f64 -35/512 (pow.f64 x 8)))))
1/4
(-.f64 1/4 (*.f64 1/4 (/.f64 1 x)))
(-.f64 1/4 (/.f64 1/4 x))
(+.f64 1/4 (/.f64 -1/4 x))
(-.f64 (+.f64 1/4 (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/4 (/.f64 1 x)))
(+.f64 1/4 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/4 x)))
(+.f64 1/4 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/4 x)))
(-.f64 (+.f64 1/4 (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 5))) (*.f64 1/4 (/.f64 1 x))))
(+.f64 1/4 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 3/32 (pow.f64 x 5)) (/.f64 1/4 x))))
(+.f64 (+.f64 1/4 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 3/32 (pow.f64 x 5)))) (/.f64 -1/4 x))
(+.f64 1/4 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 -1/4 x) (/.f64 3/32 (pow.f64 x 5)))))
1/4
(+.f64 1/4 (*.f64 1/4 (/.f64 1 x)))
(+.f64 1/4 (/.f64 1/4 x))
(-.f64 (+.f64 1/4 (*.f64 1/4 (/.f64 1 x))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(+.f64 1/4 (-.f64 (/.f64 1/4 x) (/.f64 1/8 (pow.f64 x 3))))
(+.f64 1/4 (+.f64 (/.f64 1/4 x) (/.f64 -1/8 (pow.f64 x 3))))
(-.f64 (+.f64 1/4 (/.f64 1/4 x)) (/.f64 1/8 (pow.f64 x 3)))
(-.f64 (+.f64 1/4 (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 5))) (*.f64 1/4 (/.f64 1 x)))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(+.f64 1/4 (-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 5)) (/.f64 1/4 x)) (/.f64 1/8 (pow.f64 x 3))))
(+.f64 1/4 (+.f64 (/.f64 3/32 (pow.f64 x 5)) (+.f64 (/.f64 1/4 x) (/.f64 -1/8 (pow.f64 x 3)))))
(+.f64 (/.f64 3/32 (pow.f64 x 5)) (-.f64 (+.f64 1/4 (/.f64 1/4 x)) (/.f64 1/8 (pow.f64 x 3))))
(*.f64 (pow.f64 x 2) (cbrt.f64 1/512))
(*.f64 (pow.f64 x 2) (cbrt.f64 1/512))
(*.f64 (pow.f64 x 2) (cbrt.f64 1/512))
(*.f64 (pow.f64 x 2) (cbrt.f64 1/512))
(*.f64 (pow.f64 x 2) (cbrt.f64 1/512))
(*.f64 (pow.f64 x 2) (cbrt.f64 1/512))
(*.f64 (pow.f64 x 2) (cbrt.f64 1/512))
(*.f64 (pow.f64 x 2) (cbrt.f64 1/512))
(*.f64 (pow.f64 x 2) (cbrt.f64 1/512))
(*.f64 (pow.f64 x 2) (cbrt.f64 1/512))
(*.f64 (pow.f64 x 2) (cbrt.f64 1/512))
(*.f64 (pow.f64 x 2) (cbrt.f64 1/512))
(/.f64 1/4 (*.f64 x (sqrt.f64 1/2)))
(-.f64 (+.f64 1 (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2))))) (sqrt.f64 1/2))
(+.f64 1 (-.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) (sqrt.f64 1/2)))
(-.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (/.f64 -1/4 (sqrt.f64 1/2)) x))
(-.f64 (+.f64 1 (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2))))) (sqrt.f64 1/2))
(+.f64 1 (-.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) (sqrt.f64 1/2)))
(-.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (/.f64 -1/4 (sqrt.f64 1/2)) x))
(-.f64 (+.f64 1 (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2))))) (sqrt.f64 1/2))
(+.f64 1 (-.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) (sqrt.f64 1/2)))
(-.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (/.f64 -1/4 (sqrt.f64 1/2)) x))
(-.f64 1 (sqrt.f64 1/2))
(-.f64 (+.f64 1 (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2))))) (sqrt.f64 1/2))
(+.f64 1 (-.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) (sqrt.f64 1/2)))
(-.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (/.f64 -1/4 (sqrt.f64 1/2)) x))
(-.f64 (+.f64 1 (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2))))) (sqrt.f64 1/2))
(+.f64 1 (-.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) (sqrt.f64 1/2)))
(-.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (/.f64 -1/4 (sqrt.f64 1/2)) x))
(-.f64 (+.f64 1 (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2))))) (sqrt.f64 1/2))
(+.f64 1 (-.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) (sqrt.f64 1/2)))
(-.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (/.f64 -1/4 (sqrt.f64 1/2)) x))
(-.f64 1 (sqrt.f64 1/2))
(-.f64 (+.f64 1 (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2))))) (sqrt.f64 1/2))
(+.f64 1 (-.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) (sqrt.f64 1/2)))
(-.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (/.f64 -1/4 (sqrt.f64 1/2)) x))
(-.f64 (+.f64 1 (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2))))) (sqrt.f64 1/2))
(+.f64 1 (-.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) (sqrt.f64 1/2)))
(-.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (/.f64 -1/4 (sqrt.f64 1/2)) x))
(-.f64 (+.f64 1 (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2))))) (sqrt.f64 1/2))
(+.f64 1 (-.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) (sqrt.f64 1/2)))
(-.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (/.f64 -1/4 (sqrt.f64 1/2)) x))
(+.f64 1 (neg.f64 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 1/2))
(+.f64 1 (*.f64 (neg.f64 (sqrt.f64 1/2)) 1))
(-.f64 1 (sqrt.f64 1/2))
(+.f64 (neg.f64 (sqrt.f64 1/2)) 1)
(-.f64 1 (sqrt.f64 1/2))
(*.f64 1 (-.f64 1 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 1/2))
(*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2))))
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
(*.f64 (-.f64 1 (sqrt.f64 1/2)) 1)
(-.f64 1 (sqrt.f64 1/2))
(*.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 1/2))) (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 1/2))) 2))
(-.f64 1 (sqrt.f64 1/2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 1/2))) 2) (cbrt.f64 (-.f64 1 (sqrt.f64 1/2))))
(-.f64 1 (sqrt.f64 1/2))
(*.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (sqrt.f64 1/2))))
(-.f64 1 (sqrt.f64 1/2))
(*.f64 (-.f64 1 (pow.f64 1/2 3/2)) (/.f64 1 (+.f64 3/2 (sqrt.f64 1/2))))
(*.f64 (-.f64 1 (pow.f64 1/2 3/2)) (/.f64 1 (+.f64 (sqrt.f64 1/2) 3/2)))
(/.f64 (-.f64 1 (pow.f64 1/2 3/2)) (+.f64 (sqrt.f64 1/2) 3/2))
(/.f64 (+.f64 (pow.f64 1/2 3/2) -1) (-.f64 -3/2 (sqrt.f64 1/2)))
(/.f64 1 (/.f64 (+.f64 3/2 (sqrt.f64 1/2)) (-.f64 1 (pow.f64 1/2 3/2))))
(*.f64 (-.f64 1 (pow.f64 1/2 3/2)) (/.f64 1 (+.f64 (sqrt.f64 1/2) 3/2)))
(/.f64 (-.f64 1 (pow.f64 1/2 3/2)) (+.f64 (sqrt.f64 1/2) 3/2))
(/.f64 (+.f64 (pow.f64 1/2 3/2) -1) (-.f64 -3/2 (sqrt.f64 1/2)))
(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 1/2)) 1/2))
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
(/.f64 -1/2 (neg.f64 (+.f64 1 (sqrt.f64 1/2))))
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
(/.f64 (-.f64 1 (pow.f64 1/2 3/2)) (+.f64 3/2 (sqrt.f64 1/2)))
(*.f64 (-.f64 1 (pow.f64 1/2 3/2)) (/.f64 1 (+.f64 (sqrt.f64 1/2) 3/2)))
(/.f64 (-.f64 1 (pow.f64 1/2 3/2)) (+.f64 (sqrt.f64 1/2) 3/2))
(/.f64 (+.f64 (pow.f64 1/2 3/2) -1) (-.f64 -3/2 (sqrt.f64 1/2)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 1/2 3/2))) (neg.f64 (+.f64 3/2 (sqrt.f64 1/2))))
(*.f64 (-.f64 1 (pow.f64 1/2 3/2)) (/.f64 1 (+.f64 (sqrt.f64 1/2) 3/2)))
(/.f64 (-.f64 1 (pow.f64 1/2 3/2)) (+.f64 (sqrt.f64 1/2) 3/2))
(/.f64 (+.f64 (pow.f64 1/2 3/2) -1) (-.f64 -3/2 (sqrt.f64 1/2)))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (sqrt.f64 1/2)) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (sqrt.f64 1/2)) (neg.f64 (sqrt.f64 1/2))) (neg.f64 (sqrt.f64 1/2)))))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (sqrt.f64 1/2)) 3)) (+.f64 1 (-.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 1/2)) (neg.f64 (sqrt.f64 1/2)))))
(/.f64 (+.f64 1 (*.f64 (sqrt.f64 1/2) -1/2)) (+.f64 (sqrt.f64 1/2) 3/2))
(/.f64 (-.f64 1 (*.f64 1/2 (sqrt.f64 1/2))) (+.f64 (sqrt.f64 1/2) 3/2))
(/.f64 (-.f64 1 (*.f64 (neg.f64 (sqrt.f64 1/2)) (neg.f64 (sqrt.f64 1/2)))) (-.f64 1 (neg.f64 (sqrt.f64 1/2))))
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
(pow.f64 (-.f64 1 (sqrt.f64 1/2)) 1)
(-.f64 1 (sqrt.f64 1/2))
(pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 1/2))) 3)
(-.f64 1 (sqrt.f64 1/2))
(pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3) 1/3)
(-.f64 1 (sqrt.f64 1/2))
(pow.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 1/2))) 2)
(-.f64 1 (sqrt.f64 1/2))
(sqrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))
(-.f64 1 (sqrt.f64 1/2))
(log.f64 (exp.f64 (-.f64 1 (sqrt.f64 1/2))))
(-.f64 1 (sqrt.f64 1/2))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (sqrt.f64 1/2)))))
(cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3))
(-.f64 1 (sqrt.f64 1/2))
(expm1.f64 (log1p.f64 (-.f64 1 (sqrt.f64 1/2))))
(exp.f64 (log1p.f64 (neg.f64 (sqrt.f64 1/2))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (sqrt.f64 1/2))) 1))
(exp.f64 (log1p.f64 (neg.f64 (sqrt.f64 1/2))))
(log1p.f64 (expm1.f64 (-.f64 1 (sqrt.f64 1/2))))
(+.f64 1/4 (neg.f64 (/.f64 1/4 (hypot.f64 1 x))))
(+.f64 1/4 (/.f64 -1/4 (hypot.f64 1 x)))
(-.f64 1/4 (/.f64 1/4 (hypot.f64 1 x)))
(+.f64 1/4 (/.f64 -1/4 (hypot.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (-.f64 1/4 (/.f64 1/4 (hypot.f64 1 x))))) 1)
(+.f64 (exp.f64 (log1p.f64 (+.f64 1/4 (/.f64 -1/4 (hypot.f64 1 x))))) -1)
(*.f64 1 (-.f64 1/4 (/.f64 1/4 (hypot.f64 1 x))))
(+.f64 1/4 (/.f64 -1/4 (hypot.f64 1 x)))
(*.f64 1/2 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))))
(+.f64 1/4 (/.f64 -1/4 (hypot.f64 1 x)))
(*.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) 1/2)
(+.f64 1/4 (/.f64 -1/4 (hypot.f64 1 x)))
(*.f64 (-.f64 1/4 (/.f64 1/4 (hypot.f64 1 x))) 1)
(+.f64 1/4 (/.f64 -1/4 (hypot.f64 1 x)))
(*.f64 (cbrt.f64 (-.f64 1/4 (/.f64 1/4 (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (-.f64 1/4 (/.f64 1/4 (hypot.f64 1 x)))) 2))
(+.f64 1/4 (/.f64 -1/4 (hypot.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1/4 (/.f64 1/4 (hypot.f64 1 x)))) 2) (cbrt.f64 (-.f64 1/4 (/.f64 1/4 (hypot.f64 1 x)))))
(+.f64 1/4 (/.f64 -1/4 (hypot.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) 2) (*.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) 1/2))
(+.f64 1/4 (/.f64 -1/4 (hypot.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) 2) (/.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) 2))
(/.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) 2)
(/.f64 (+.f64 -1/2 (/.f64 1/2 (hypot.f64 1 x))) -2)
(*.f64 (sqrt.f64 (-.f64 1/4 (/.f64 1/4 (hypot.f64 1 x)))) (sqrt.f64 (-.f64 1/4 (/.f64 1/4 (hypot.f64 1 x)))))
(+.f64 1/4 (/.f64 -1/4 (hypot.f64 1 x)))
(*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) 1/2))
(+.f64 1/4 (/.f64 -1/4 (hypot.f64 1 x)))
(*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) 2) (/.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) 2))
(/.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) 2)
(/.f64 (+.f64 -1/2 (/.f64 1/2 (hypot.f64 1 x))) -2)
(*.f64 (+.f64 -1/2 (/.f64 1/2 (hypot.f64 1 x))) -1/2)
(*.f64 -1/2 (+.f64 -1/2 (/.f64 1/2 (hypot.f64 1 x))))
(+.f64 1/4 (*.f64 -1/2 (/.f64 1/2 (hypot.f64 1 x))))
(pow.f64 (-.f64 1/4 (/.f64 1/4 (hypot.f64 1 x))) 1)
(+.f64 1/4 (/.f64 -1/4 (hypot.f64 1 x)))
(pow.f64 (cbrt.f64 (-.f64 1/4 (/.f64 1/4 (hypot.f64 1 x)))) 3)
(+.f64 1/4 (/.f64 -1/4 (hypot.f64 1 x)))
(pow.f64 (pow.f64 (-.f64 1/4 (/.f64 1/4 (hypot.f64 1 x))) 3) 1/3)
(+.f64 1/4 (/.f64 -1/4 (hypot.f64 1 x)))
(pow.f64 (sqrt.f64 (-.f64 1/4 (/.f64 1/4 (hypot.f64 1 x)))) 2)
(+.f64 1/4 (/.f64 -1/4 (hypot.f64 1 x)))
(pow.f64 (/.f64 2 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) -1)
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(/.f64 (+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 x 1/2)) (+.f64 1/4 (*.f64 (sqrt.f64 1/2) 1/4))) (*.f64 (sqrt.f64 1/2) (*.f64 x (+.f64 1 (sqrt.f64 1/2)))))
(/.f64 (+.f64 1/4 (+.f64 (*.f64 1/4 (sqrt.f64 1/2)) (*.f64 x (*.f64 1/2 (sqrt.f64 1/2))))) (+.f64 (*.f64 x (sqrt.f64 1/2)) (*.f64 x 1/2)))
(/.f64 (+.f64 1/4 (*.f64 (sqrt.f64 1/2) (+.f64 1/4 (*.f64 x 1/2)))) (*.f64 x (+.f64 1/2 (sqrt.f64 1/2))))
(/.f64 (+.f64 (*.f64 -1/4 (+.f64 3/2 (sqrt.f64 1/2))) (*.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 x)) (-.f64 1 (pow.f64 1/2 3/2)))) (*.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 x)) (+.f64 3/2 (sqrt.f64 1/2))))
(/.f64 (+.f64 (*.f64 (-.f64 1 (pow.f64 1/2 3/2)) (*.f64 (sqrt.f64 1/2) (neg.f64 x))) (+.f64 -3/8 (*.f64 -1/4 (sqrt.f64 1/2)))) (*.f64 (sqrt.f64 1/2) (*.f64 (neg.f64 x) (+.f64 (sqrt.f64 1/2) 3/2))))
(/.f64 (+.f64 (*.f64 (-.f64 1 (pow.f64 1/2 3/2)) (*.f64 x (neg.f64 (sqrt.f64 1/2)))) (+.f64 -3/8 (*.f64 (sqrt.f64 1/2) -1/4))) (*.f64 (neg.f64 x) (+.f64 1/2 (*.f64 (sqrt.f64 1/2) 3/2))))
(/.f64 (+.f64 -3/8 (*.f64 (sqrt.f64 1/2) (+.f64 -1/4 (*.f64 x (+.f64 (pow.f64 1/2 3/2) -1))))) (*.f64 x (neg.f64 (+.f64 1/2 (*.f64 (sqrt.f64 1/2) 3/2)))))
(/.f64 (+.f64 (*.f64 -1/4 (+.f64 1 (sqrt.f64 1/2))) (*.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 x)) 1/2)) (*.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 x)) (+.f64 1 (sqrt.f64 1/2))))
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 1/2) (neg.f64 x))) (*.f64 (+.f64 1 (sqrt.f64 1/2)) -1/4)) (*.f64 (sqrt.f64 1/2) (*.f64 (neg.f64 x) (+.f64 1 (sqrt.f64 1/2)))))
(/.f64 (+.f64 -1/4 (+.f64 (*.f64 (sqrt.f64 1/2) -1/4) (*.f64 1/2 (*.f64 x (neg.f64 (sqrt.f64 1/2)))))) (neg.f64 (+.f64 (*.f64 x (sqrt.f64 1/2)) (*.f64 x 1/2))))
(/.f64 (+.f64 -1/4 (*.f64 (sqrt.f64 1/2) (+.f64 -1/4 (*.f64 x -1/2)))) (*.f64 x (-.f64 -1/2 (sqrt.f64 1/2))))
(/.f64 (+.f64 (*.f64 (/.f64 1/4 x) (+.f64 3/2 (sqrt.f64 1/2))) (*.f64 (sqrt.f64 1/2) (-.f64 1 (pow.f64 1/2 3/2)))) (*.f64 (sqrt.f64 1/2) (+.f64 3/2 (sqrt.f64 1/2))))
(/.f64 (+.f64 (*.f64 (sqrt.f64 1/2) (-.f64 1 (pow.f64 1/2 3/2))) (*.f64 (+.f64 (sqrt.f64 1/2) 3/2) (/.f64 1/4 x))) (*.f64 (sqrt.f64 1/2) (+.f64 (sqrt.f64 1/2) 3/2)))
(/.f64 (+.f64 (*.f64 (sqrt.f64 1/2) (-.f64 1 (pow.f64 1/2 3/2))) (/.f64 (+.f64 3/8 (*.f64 1/4 (sqrt.f64 1/2))) x)) (+.f64 1/2 (*.f64 (sqrt.f64 1/2) 3/2)))
(/.f64 (+.f64 (/.f64 3/8 x) (*.f64 (sqrt.f64 1/2) (+.f64 (/.f64 1/4 x) (-.f64 1 (pow.f64 1/2 3/2))))) (+.f64 1/2 (*.f64 (sqrt.f64 1/2) 3/2)))
(/.f64 (+.f64 (*.f64 (/.f64 1/4 x) (+.f64 1 (sqrt.f64 1/2))) (pow.f64 1/2 3/2)) (+.f64 1/2 (sqrt.f64 1/2)))
(/.f64 (+.f64 (pow.f64 1/2 3/2) (*.f64 (+.f64 1 (sqrt.f64 1/2)) (/.f64 1/4 x))) (+.f64 1/2 (sqrt.f64 1/2)))
(/.f64 (+.f64 (pow.f64 1/2 3/2) (*.f64 1/4 (/.f64 (+.f64 1 (sqrt.f64 1/2)) x))) (+.f64 1/2 (sqrt.f64 1/2)))
(/.f64 (+.f64 (pow.f64 1/2 3/2) (/.f64 (+.f64 1/4 (*.f64 1/4 (sqrt.f64 1/2))) x)) (+.f64 1/2 (sqrt.f64 1/2)))
(/.f64 (neg.f64 (+.f64 (/.f64 1/64 (pow.f64 (*.f64 (sqrt.f64 1/2) x) 3)) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3))) (neg.f64 (+.f64 (/.f64 1/16 (*.f64 1/2 (pow.f64 x 2))) (*.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3) (/.f64 1/64 (pow.f64 (*.f64 x (sqrt.f64 1/2)) 3))) 1) (+.f64 (/.f64 1/8 (pow.f64 x 2)) (*.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (+.f64 (sqrt.f64 1/2) (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))))))))
(/.f64 (+.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3) (/.f64 1/64 (pow.f64 (*.f64 x (sqrt.f64 1/2)) 3))) (+.f64 (/.f64 1/8 (pow.f64 x 2)) (*.f64 (-.f64 1 (sqrt.f64 1/2)) (+.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (/.f64 -1/4 (sqrt.f64 1/2)) x)))))
(/.f64 (-.f64 (/.f64 -1/64 (pow.f64 (*.f64 x (sqrt.f64 1/2)) 3)) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3)) (+.f64 (/.f64 -1/8 (pow.f64 x 2)) (*.f64 (-.f64 1 (sqrt.f64 1/2)) (+.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) (+.f64 (sqrt.f64 1/2) -1)))))
(/.f64 (neg.f64 (-.f64 (/.f64 1/16 (*.f64 1/2 (pow.f64 x 2))) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))) (neg.f64 (-.f64 (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2)))))
(/.f64 (-.f64 (/.f64 1/8 (pow.f64 x 2)) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)) (+.f64 (-.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) 1) (sqrt.f64 1/2)))
(/.f64 (-.f64 (/.f64 1/8 (pow.f64 x 2)) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)) (+.f64 (sqrt.f64 1/2) (+.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) -1)))
(/.f64 (-.f64 (/.f64 1/8 (pow.f64 x 2)) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)) (+.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) (+.f64 (sqrt.f64 1/2) -1)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2))) 3) (pow.f64 1/2 3/2)) (+.f64 (*.f64 (+.f64 1 (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2))) (+.f64 1 (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)))) (+.f64 1/2 (*.f64 (+.f64 1 (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2))) (sqrt.f64 1/2)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2)))) 3) (pow.f64 1/2 3/2)) (+.f64 (*.f64 (+.f64 1 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2)))) (+.f64 1 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))))) (+.f64 1/2 (*.f64 (sqrt.f64 1/2) (+.f64 1 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2)))) 3) (pow.f64 1/2 3/2)) (+.f64 1/2 (+.f64 (*.f64 (sqrt.f64 1/2) (+.f64 1 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))))) (*.f64 (+.f64 1 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2)))) (+.f64 1 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2)))) 3) (pow.f64 1/2 3/2)) (+.f64 1/2 (*.f64 (+.f64 1 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2)))) (+.f64 1 (+.f64 (sqrt.f64 1/2) (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))))))))
(/.f64 (-.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2) (/.f64 1/16 (*.f64 1/2 (pow.f64 x 2)))) (-.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2))))
(/.f64 (-.f64 (/.f64 1/8 (pow.f64 x 2)) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)) (+.f64 (-.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) 1) (sqrt.f64 1/2)))
(/.f64 (-.f64 (/.f64 1/8 (pow.f64 x 2)) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)) (+.f64 (sqrt.f64 1/2) (+.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) -1)))
(/.f64 (-.f64 (/.f64 1/8 (pow.f64 x 2)) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)) (+.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) (+.f64 (sqrt.f64 1/2) -1)))
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2))) (+.f64 1 (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)))) 1/2) (+.f64 (+.f64 1 (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2))) (sqrt.f64 1/2)))
(/.f64 (+.f64 (*.f64 (+.f64 1 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2)))) (+.f64 1 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))))) -1/2) (+.f64 1 (+.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) (sqrt.f64 1/2))))
(/.f64 (+.f64 -1/2 (*.f64 (+.f64 1 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2)))) (+.f64 1 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2)))))) (+.f64 1 (+.f64 (sqrt.f64 1/2) (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))))))
(pow.f64 (+.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2))) 1)
(+.f64 1 (-.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) (sqrt.f64 1/2)))
(-.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (/.f64 -1/4 (sqrt.f64 1/2)) x))
(pow.f64 (cbrt.f64 (+.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)))) 3)
(+.f64 1 (-.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) (sqrt.f64 1/2)))
(-.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (/.f64 -1/4 (sqrt.f64 1/2)) x))
(pow.f64 (pow.f64 (+.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2))) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) (sqrt.f64 1/2)))
(-.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (/.f64 -1/4 (sqrt.f64 1/2)) x))
(pow.f64 (sqrt.f64 (+.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)))) 2)
(+.f64 1 (-.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) (sqrt.f64 1/2)))
(-.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (/.f64 -1/4 (sqrt.f64 1/2)) x))
(sqrt.f64 (pow.f64 (+.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2))) 2))
(+.f64 1 (-.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) (sqrt.f64 1/2)))
(-.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (/.f64 -1/4 (sqrt.f64 1/2)) x))
(log.f64 (exp.f64 (+.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)))))
(+.f64 1 (-.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) (sqrt.f64 1/2)))
(-.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (/.f64 -1/4 (sqrt.f64 1/2)) x))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 1/4 (*.f64 x (sqrt.f64 1/2)))))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (/.f64 -1/4 (sqrt.f64 1/2)) x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (-.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) (sqrt.f64 1/2))))))
(cbrt.f64 (pow.f64 (+.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2))) 3))
(+.f64 1 (-.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) (sqrt.f64 1/2)))
(-.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (/.f64 -1/4 (sqrt.f64 1/2)) x))
(expm1.f64 (log1p.f64 (+.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)))))
(expm1.f64 (log1p.f64 (+.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))))))
(expm1.f64 (log1p.f64 (-.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (/.f64 -1/4 (sqrt.f64 1/2)) x))))
(expm1.f64 (log1p.f64 (+.f64 1 (-.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) (sqrt.f64 1/2)))))
(exp.f64 (log.f64 (+.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)))))
(+.f64 1 (-.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) (sqrt.f64 1/2)))
(-.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (/.f64 -1/4 (sqrt.f64 1/2)) x))
(exp.f64 (*.f64 (log.f64 (+.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)))) 1))
(+.f64 1 (-.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) (sqrt.f64 1/2)))
(-.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (/.f64 -1/4 (sqrt.f64 1/2)) x))
(log1p.f64 (expm1.f64 (+.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)))))
(log1p.f64 (expm1.f64 (+.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))))))
(log1p.f64 (expm1.f64 (-.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (/.f64 -1/4 (sqrt.f64 1/2)) x))))
(log1p.f64 (expm1.f64 (+.f64 1 (-.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) (sqrt.f64 1/2)))))
(fma.f64 1 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)))
(fma.f64 1 (-.f64 1 (sqrt.f64 1/2)) (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))))
(fma.f64 1 (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2)))
(fma.f64 1 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) (-.f64 1 (sqrt.f64 1/2)))
(fma.f64 1/4 (/.f64 (/.f64 1 x) (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2)))
(fma.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2))) (-.f64 1 (sqrt.f64 1/2)))
(fma.f64 1/4 (/.f64 (/.f64 1 (sqrt.f64 1/2)) x) (-.f64 1 (sqrt.f64 1/2)))
(fma.f64 (cbrt.f64 (/.f64 1/16 (*.f64 1/2 (pow.f64 x 2)))) (cbrt.f64 (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2))) (-.f64 1 (sqrt.f64 1/2)))
(fma.f64 (cbrt.f64 (/.f64 1/8 (pow.f64 x 2))) (cbrt.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2)))) (-.f64 1 (sqrt.f64 1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 1/2))) 2) (cbrt.f64 (-.f64 1 (sqrt.f64 1/2))) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 1/2))) 2) (cbrt.f64 (-.f64 1 (sqrt.f64 1/2))) (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))))
(fma.f64 (/.f64 1/2 (sqrt.f64 (*.f64 (sqrt.f64 1/2) x))) (/.f64 1/2 (sqrt.f64 (*.f64 (sqrt.f64 1/2) x))) (-.f64 1 (sqrt.f64 1/2)))
(fma.f64 (/.f64 1/2 (sqrt.f64 (*.f64 x (sqrt.f64 1/2)))) (/.f64 1/2 (sqrt.f64 (*.f64 x (sqrt.f64 1/2)))) (-.f64 1 (sqrt.f64 1/2)))
(fma.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (sqrt.f64 1/2))) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)))
(fma.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (sqrt.f64 1/2))) (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))))

eval330.0ms (3.4%)

Compiler

Compiled 9017 to 8141 computations (9.7% saved)

prune149.0ms (1.5%)

Pruning

21 alts after pruning (11 fresh and 10 done)

PrunedKeptTotal
New5314535
Fresh077
Picked145
Done066
Total53221553
Accuracy
100.0%
Counts
553 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.4%
(pow.f64 (*.f64 x (sqrt.f64 1/8)) 2)
51.1%
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)) (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 3/2 (/.f64 1/2 x))))
77.7%
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
51.2%
(/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
52.1%
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
76.9%
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
50.4%
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
50.2%
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
51.4%
(-.f64 1 (sqrt.f64 1/2))
27.6%
(-.f64 1 1)
38.1%
(-.f64 1/4 (/.f64 1/4 (hypot.f64 1 x)))
13.0%
(-.f64 1/4 (/.f64 1/4 x))
32.5%
(+.f64 (pow.f64 (*.f64 (pow.f64 x 6) 1/512) 1/3) (*.f64 -11/128 (pow.f64 x 4)))
48.7%
(+.f64 (pow.f64 (*.f64 x (sqrt.f64 1/8)) 2) (*.f64 -11/128 (pow.f64 x 4)))
50.6%
(+.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) (-.f64 1 (sqrt.f64 1/2)))
49.4%
(+.f64 (*.f64 (pow.f64 x 4) -11/128) (+.f64 (*.f64 (pow.f64 x 2) 1/8) (*.f64 (pow.f64 x 6) 69/1024)))
49.0%
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4)))
12.7%
(+.f64 1/4 (/.f64 1/4 x))
50.7%
(*.f64 1/8 (pow.f64 x 2))
34.5%
(cbrt.f64 (*.f64 (pow.f64 x 6) 1/512))
13.7%
1/4
Compiler

Compiled 334 to 291 computations (12.9% saved)

localize218.0ms (2.3%)

Localize:

Found 7 expressions with local error:

NewAccuracyProgram
100.0%
(pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)
100.0%
(-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))
100.0%
(+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 3/2 (/.f64 1/2 x)))
100.0%
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)) (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 3/2 (/.f64 1/2 x))))
99.2%
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
100.0%
(/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
100.0%
(+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
Compiler

Compiled 156 to 128 computations (17.9% saved)

series33.0ms (0.3%)

Counts
7 → 84
Calls

21 calls:

TimeVariablePointExpression
4.0ms
x
@inf
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)) (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 3/2 (/.f64 1/2 x))))
3.0ms
x
@-inf
(/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
3.0ms
x
@-inf
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)) (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 3/2 (/.f64 1/2 x))))
3.0ms
x
@0
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)) (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 3/2 (/.f64 1/2 x))))
3.0ms
x
@0
(-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))

rewrite191.0ms (2%)

Algorithm
batch-egg-rewrite
Rules
579×log1p-expm1-u
230×associate-*r*
208×expm1-log1p-u
204×add-cube-cbrt
201×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025285
1446243
27422243
Stop Event
node limit
Counts
7 → 275
Calls
Call 1
Inputs
(+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)) (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 3/2 (/.f64 1/2 x))))
(+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 3/2 (/.f64 1/2 x)))
(-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))
(pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)
Outputs
(-.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) 1)
(*.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(*.f64 (+.f64 1/2 (/.f64 1/2 x)) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1)
(*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4)))
(*.f64 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)) (/.f64 1 (-.f64 (+.f64 1 (+.f64 1/2 (/.f64 1/2 x))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(/.f64 1 (/.f64 (-.f64 (+.f64 1 (+.f64 1/2 (/.f64 1/2 x))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))))
(/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 1/2 (/.f64 1/2 x))))
(/.f64 (+.f64 1/2 (/.f64 1/2 x)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(/.f64 (+.f64 -1/2 (/.f64 1/2 x)) (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)) (-.f64 (+.f64 1 (+.f64 1/2 (/.f64 1/2 x))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)) (+.f64 (+.f64 1/2 (/.f64 1/2 x)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))) (neg.f64 (-.f64 (+.f64 1 (+.f64 1/2 (/.f64 1/2 x))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(/.f64 (-.f64 (+.f64 1/2 (/.f64 1/2 x)) 1) (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1))
(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 3)
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3) 1/3)
(pow.f64 (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4)) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2))
(log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(exp.f64 (*.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(fma.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1)
(fma.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1)
(fma.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4) (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4) 1)
(+.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(+.f64 1 (*.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1))
(+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (neg.f64 (/.f64 1/2 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) x))))
(+.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1)
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(-.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (/.f64 1/2 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) x)))
(-.f64 (exp.f64 (neg.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(-.f64 (exp.f64 (log1p.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) 1)
(-.f64 (/.f64 1 (+.f64 (+.f64 1 (+.f64 1/2 (/.f64 1/2 x))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (/.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2) (+.f64 (+.f64 1 (+.f64 1/2 (/.f64 1/2 x))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(*.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(*.f64 (+.f64 1/2 (/.f64 1/2 x)) (exp.f64 (neg.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (exp.f64 (neg.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))))
(*.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1)
(*.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)) (/.f64 1 (+.f64 (+.f64 1 (+.f64 1/2 (/.f64 1/2 x))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(*.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 2) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2) (/.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2) (*.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (exp.f64 (neg.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))))
(*.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(*.f64 (+.f64 -1/2 (/.f64 1/2 x)) (/.f64 1 (neg.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(*.f64 (exp.f64 (neg.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) (+.f64 1/2 (/.f64 1/2 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 2)) (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(*.f64 (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4))) (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 2)) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2) (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4))) (/.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 2)) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(*.f64 (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))) (-.f64 (+.f64 1 (+.f64 1/2 (/.f64 1/2 x))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(*.f64 (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (+.f64 1/2 (/.f64 1/2 x))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1)
(pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 3)
(pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 2)
(pow.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) -1)
(neg.f64 (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (neg.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(neg.f64 (/.f64 (+.f64 -1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(sqrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2))
(log.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3)))
(expm1.f64 (log1p.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(exp.f64 (log1p.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 1))
(log1p.f64 (expm1.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(+.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(+.f64 1 (*.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1))
(+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (neg.f64 (/.f64 1/2 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) x))))
(+.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1)
(*.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(*.f64 (+.f64 1/2 (/.f64 1/2 x)) (exp.f64 (neg.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (exp.f64 (neg.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))))
(*.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1)
(*.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)) (/.f64 1 (+.f64 (+.f64 1 (+.f64 1/2 (/.f64 1/2 x))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(*.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 2) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2) (/.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2) (*.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (exp.f64 (neg.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))))
(*.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(*.f64 (+.f64 -1/2 (/.f64 1/2 x)) (/.f64 1 (neg.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(*.f64 (exp.f64 (neg.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) (+.f64 1/2 (/.f64 1/2 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 2)) (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(*.f64 (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4))) (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 2)) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2) (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4))) (/.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 2)) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(*.f64 (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))) (-.f64 (+.f64 1 (+.f64 1/2 (/.f64 1/2 x))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(*.f64 (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (+.f64 1/2 (/.f64 1/2 x))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(/.f64 1 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(/.f64 1 (/.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 1))
(/.f64 1 (/.f64 (+.f64 (+.f64 1 (+.f64 1/2 (/.f64 1/2 x))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))))
(/.f64 (+.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)) (+.f64 (+.f64 1 (+.f64 1/2 (/.f64 1/2 x))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
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(*.f64 (+.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2) (pow.f64 (+.f64 (/.f64 1/2 x) 3/2) 3)) (/.f64 1 (+.f64 1/2 (+.f64 (/.f64 1/2 x) (*.f64 (+.f64 (/.f64 1/2 x) 3/2) (-.f64 (+.f64 (/.f64 1/2 x) 3/2) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))))
(*.f64 (+.f64 1/2 (-.f64 (/.f64 1/2 x) (pow.f64 (+.f64 (/.f64 1/2 x) 3/2) 2))) (/.f64 1 (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 (/.f64 1/2 x) 3/2))))
(/.f64 1 (/.f64 (+.f64 1/2 (+.f64 (/.f64 1/2 x) (*.f64 (+.f64 (/.f64 1/2 x) 3/2) (-.f64 (+.f64 (/.f64 1/2 x) 3/2) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))) (+.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2) (pow.f64 (+.f64 (/.f64 1/2 x) 3/2) 3))))
(/.f64 1 (/.f64 (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 (/.f64 1/2 x) 3/2)) (+.f64 1/2 (-.f64 (/.f64 1/2 x) (pow.f64 (+.f64 (/.f64 1/2 x) 3/2) 2)))))
(/.f64 (+.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2) (pow.f64 (+.f64 (/.f64 1/2 x) 3/2) 3)) (+.f64 1/2 (+.f64 (/.f64 1/2 x) (*.f64 (+.f64 (/.f64 1/2 x) 3/2) (-.f64 (+.f64 (/.f64 1/2 x) 3/2) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))))
(/.f64 (+.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2) (pow.f64 (+.f64 (/.f64 1/2 x) 3/2) 3)) (+.f64 (pow.f64 (+.f64 (/.f64 1/2 x) 3/2) 2) (-.f64 (+.f64 1/2 (/.f64 1/2 x)) (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 (/.f64 1/2 x) 3/2)))))
(/.f64 (+.f64 1/2 (-.f64 (/.f64 1/2 x) (pow.f64 (+.f64 (/.f64 1/2 x) 3/2) 2))) (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 (/.f64 1/2 x) 3/2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2) (pow.f64 (+.f64 (/.f64 1/2 x) 3/2) 3))) (neg.f64 (+.f64 1/2 (+.f64 (/.f64 1/2 x) (*.f64 (+.f64 (/.f64 1/2 x) 3/2) (-.f64 (+.f64 (/.f64 1/2 x) 3/2) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))))
(/.f64 (neg.f64 (+.f64 1/2 (-.f64 (/.f64 1/2 x) (pow.f64 (+.f64 (/.f64 1/2 x) 3/2) 2)))) (neg.f64 (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 (/.f64 1/2 x) 3/2))))
(/.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 3/2) 3) (/.f64 1/8 (pow.f64 x 3))) (+.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 3/2) (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 3/2)) (-.f64 (/.f64 1/4 (pow.f64 x 2)) (*.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 3/2) (/.f64 1/2 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 1/2 x) 3/2) 2) (+.f64 1/2 (/.f64 1/2 x))) (-.f64 (+.f64 (/.f64 1/2 x) 3/2) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(/.f64 (-.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 3/2) (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 3/2)) (/.f64 1/4 (pow.f64 x 2))) (-.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 3/2) (/.f64 1/2 x)))
(pow.f64 (+.f64 (/.f64 1/2 x) (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 3/2)) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1/2 x) (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 3/2))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 1/2 x) (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 3/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 1/2 x) (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 3/2))) 2)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 1/2 x) (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 3/2)) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 1/2 x) (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 3/2))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1/2 x) (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 3/2)))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1/2 x) (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 3/2)) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 1/2 x) (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 3/2))))
(exp.f64 (log.f64 (+.f64 (/.f64 1/2 x) (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 3/2))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 1/2 x) (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 3/2))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 1/2 x) (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 3/2))))
(fma.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 (/.f64 1/2 x) 3/2))
(fma.f64 1 (+.f64 (/.f64 1/2 x) 3/2) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(fma.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 (/.f64 1/2 x) 3/2))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/2 x) 3/2)) 2) (cbrt.f64 (+.f64 (/.f64 1/2 x) 3/2)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(fma.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4) (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4) (+.f64 (/.f64 1/2 x) 3/2))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 1/2 x) 3/2)) (sqrt.f64 (+.f64 (/.f64 1/2 x) 3/2)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(+.f64 1 (neg.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)))
(+.f64 1 (*.f64 (neg.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)) 1))
(+.f64 (neg.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)) 1)
(*.f64 1 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)))
(*.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)) 1)
(*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))) 2) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))))
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))) (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))))
(*.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 9/2)) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2) (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3)))))
(*.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3)) (/.f64 1 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2) (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3))) (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 9/2))))
(/.f64 1 (/.f64 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)) (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 9/2)) (+.f64 1 (+.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2) (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3)) (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 9/2))) (neg.f64 (+.f64 1 (+.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2) (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3))) (neg.f64 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)) (neg.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))) (neg.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)))))
(/.f64 (-.f64 1 (*.f64 (neg.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)) (neg.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)))) (-.f64 1 (neg.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))))
(pow.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)) 1)
(pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))) 3)
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))) 2)
(sqrt.f64 (pow.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)) 2))
(log.f64 (exp.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)))))
(cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)) 3))
(expm1.f64 (log1p.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))))
(exp.f64 (log1p.f64 (neg.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))) 1))
(log1p.f64 (expm1.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))))
(-.f64 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)) 1)
(*.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))
(*.f64 (+.f64 1/2 (/.f64 1/2 x)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 1/2 (/.f64 1/2 x)))
(*.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2) 1)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2) (*.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(*.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/4) (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/4))
(*.f64 (pow.f64 1 3/2) (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 3/2) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2) 3/2) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 3/2))
(*.f64 (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4) 3) (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4) 3))
(*.f64 (*.f64 (+.f64 1/2 (/.f64 1/2 x)) (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(*.f64 (*.f64 (+.f64 1/2 (/.f64 1/2 x)) (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4)) (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4))
(/.f64 (*.f64 (+.f64 1/8 (/.f64 1/8 (pow.f64 x 3))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 1/4 (-.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 1/4 x))))
(/.f64 (*.f64 (+.f64 1/4 (/.f64 1/4 (pow.f64 x 2))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 1/2 (/.f64 1/2 x)))
(sqrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3))
(log.f64 (exp.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))))
(cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 9/2))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)))
(exp.f64 (*.f64 3/2 (log.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)))

simplify380.0ms (3.9%)

Algorithm
egg-herbie
Rules
702×associate-*r*
686×times-frac
654×associate-*l*
592×distribute-rgt-in
580×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
090828359
1248625619
Stop Event
node limit
Counts
359 → 494
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 1/2))
(+.f64 1 (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 1/2)))
(+.f64 1 (+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 x) (/.f64 1 (sqrt.f64 1/2)))) (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 1/2))))
(+.f64 1 (+.f64 (*.f64 -1/32 (*.f64 (sqrt.f64 (pow.f64 x 3)) (/.f64 1 (pow.f64 (sqrt.f64 1/2) 3)))) (+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 x) (/.f64 1 (sqrt.f64 1/2)))) (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 1/2)))))
(+.f64 1 (sqrt.f64 1/2))
(+.f64 1 (+.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2))))))
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2)))))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3)))))
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 1/128 (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/2) 5)))) (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2))))))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3)))))
(+.f64 1 (sqrt.f64 1/2))
(+.f64 1 (+.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2))))))
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2)))))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3)))))
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 1/128 (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/2) 5)))) (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2))))))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3)))))
(*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (sqrt.f64 1/2))))
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (sqrt.f64 1/2)))) (*.f64 x (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (sqrt.f64 1/2)))) (*.f64 1/2 (/.f64 1 (*.f64 x (pow.f64 (sqrt.f64 1/2) 2)))))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 (sqrt.f64 1/2) 3)))) (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (sqrt.f64 1/2)))) (*.f64 1/2 (/.f64 1 (*.f64 x (pow.f64 (sqrt.f64 1/2) 2))))) (sqrt.f64 1/2)))))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (sqrt.f64 1/2)))) (*.f64 x (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (sqrt.f64 1/2)))) (*.f64 1/2 (/.f64 1 (*.f64 x (pow.f64 (sqrt.f64 1/2) 2))))))))
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(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
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(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))) (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))))
(*.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 9/2)) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2) (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3)))))
(*.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3)) (/.f64 1 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2) (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3))) (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 9/2))))
(/.f64 1 (/.f64 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)) (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 9/2)) (+.f64 1 (+.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2) (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3)) (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 9/2))) (neg.f64 (+.f64 1 (+.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2) (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3))) (neg.f64 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)) (neg.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))) (neg.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)))))
(/.f64 (-.f64 1 (*.f64 (neg.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)) (neg.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)))) (-.f64 1 (neg.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))))
(pow.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)) 1)
(pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))) 3)
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))) 2)
(sqrt.f64 (pow.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)) 2))
(log.f64 (exp.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)))))
(cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)) 3))
(expm1.f64 (log1p.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))))
(exp.f64 (log1p.f64 (neg.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))) 1))
(log1p.f64 (expm1.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))))
(-.f64 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)) 1)
(*.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))
(*.f64 (+.f64 1/2 (/.f64 1/2 x)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 1/2 (/.f64 1/2 x)))
(*.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2) 1)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2) (*.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(*.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/4) (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/4))
(*.f64 (pow.f64 1 3/2) (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 3/2) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2) 3/2) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 3/2))
(*.f64 (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4) 3) (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4) 3))
(*.f64 (*.f64 (+.f64 1/2 (/.f64 1/2 x)) (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(*.f64 (*.f64 (+.f64 1/2 (/.f64 1/2 x)) (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4)) (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4))
(/.f64 (*.f64 (+.f64 1/8 (/.f64 1/8 (pow.f64 x 3))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 1/4 (-.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 1/4 x))))
(/.f64 (*.f64 (+.f64 1/4 (/.f64 1/4 (pow.f64 x 2))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 1/2 (/.f64 1/2 x)))
(sqrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3))
(log.f64 (exp.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))))
(cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 9/2))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)))
(exp.f64 (*.f64 3/2 (log.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)))
Outputs
(*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 1/2))
(+.f64 1 (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 1/2)))
(+.f64 1 (+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 x) (/.f64 1 (sqrt.f64 1/2)))) (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 1/2))))
(+.f64 1 (+.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 1/2)) (*.f64 1/4 (*.f64 (sqrt.f64 x) (/.f64 1 (sqrt.f64 1/2))))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 1/2)) (+.f64 (/.f64 (*.f64 1/4 (sqrt.f64 x)) (sqrt.f64 1/2)) 1))
(+.f64 1 (+.f64 (*.f64 -1/32 (*.f64 (sqrt.f64 (pow.f64 x 3)) (/.f64 1 (pow.f64 (sqrt.f64 1/2) 3)))) (+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 x) (/.f64 1 (sqrt.f64 1/2)))) (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 1/2)))))
(+.f64 1 (+.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 1/2)) (*.f64 1/4 (*.f64 (sqrt.f64 x) (/.f64 1 (sqrt.f64 1/2))))) (*.f64 -1/32 (*.f64 (sqrt.f64 (pow.f64 x 3)) (/.f64 1 (pow.f64 (sqrt.f64 1/2) 3))))))
(+.f64 1 (+.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 1/2)) (+.f64 (/.f64 (*.f64 1/4 (sqrt.f64 x)) (sqrt.f64 1/2)) (/.f64 (*.f64 -1/32 (sqrt.f64 (pow.f64 x 3))) (*.f64 1/2 (sqrt.f64 1/2))))))
(+.f64 1 (sqrt.f64 1/2))
(+.f64 1 (+.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2))))))
(+.f64 1 (+.f64 (sqrt.f64 1/2) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2))))
(+.f64 (sqrt.f64 1/2) (+.f64 1 (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2))))
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2)))))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3)))))
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 1/2) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)))) (/.f64 1/32 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))
(+.f64 (+.f64 1 (sqrt.f64 1/2)) (-.f64 (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)) (/.f64 1/32 (*.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 1/2)) 1/2))))
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 1/128 (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/2) 5)))) (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2))))))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3)))))
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 1/2) (+.f64 (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)) (/.f64 1/128 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/2) 5))))) (/.f64 1/32 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))
(+.f64 (+.f64 (+.f64 (sqrt.f64 1/2) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2))) (/.f64 1/128 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/2) 5)))) (+.f64 1 (/.f64 -1/32 (*.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 1/2)) 1/2))))
(+.f64 1 (sqrt.f64 1/2))
(+.f64 1 (+.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2))))))
(+.f64 1 (+.f64 (sqrt.f64 1/2) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2))))
(+.f64 (sqrt.f64 1/2) (+.f64 1 (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2))))
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2)))))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3)))))
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 1/2) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)))) (/.f64 1/32 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))
(+.f64 (+.f64 1 (sqrt.f64 1/2)) (-.f64 (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)) (/.f64 1/32 (*.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 1/2)) 1/2))))
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 1/128 (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/2) 5)))) (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2))))))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3)))))
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 1/2) (+.f64 (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)) (/.f64 1/128 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/2) 5))))) (/.f64 1/32 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))
(+.f64 (+.f64 (+.f64 (sqrt.f64 1/2) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2))) (/.f64 1/128 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/2) 5)))) (+.f64 1 (/.f64 -1/32 (*.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 1/2)) 1/2))))
(*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (sqrt.f64 1/2))))
(*.f64 -1/2 (/.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 1/2)))
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (sqrt.f64 1/2)))) (*.f64 x (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (sqrt.f64 1/2)))) (*.f64 1/2 (/.f64 1 (*.f64 x (pow.f64 (sqrt.f64 1/2) 2)))))))
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (sqrt.f64 1/2)))) (*.f64 x (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (sqrt.f64 1/2)))) (/.f64 1/2 (*.f64 x (pow.f64 (sqrt.f64 1/2) 2))))))
(+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 1/2))) (*.f64 x (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 1/2))) (/.f64 1/2 (*.f64 x 1/2)))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 (sqrt.f64 1/2) 3)))) (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (sqrt.f64 1/2)))) (*.f64 1/2 (/.f64 1 (*.f64 x (pow.f64 (sqrt.f64 1/2) 2))))) (sqrt.f64 1/2)))))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (sqrt.f64 1/2)))) (*.f64 x (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (sqrt.f64 1/2)))) (*.f64 1/2 (/.f64 1 (*.f64 x (pow.f64 (sqrt.f64 1/2) 2))))))))
(+.f64 (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (sqrt.f64 1/2)))) (*.f64 x (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (sqrt.f64 1/2)))) (/.f64 1/2 (*.f64 x (pow.f64 (sqrt.f64 1/2) 2)))))) (neg.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) 1) (pow.f64 (sqrt.f64 1/2) 3))) (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (sqrt.f64 1/2)))) (/.f64 1/2 (*.f64 x (pow.f64 (sqrt.f64 1/2) 2)))) (sqrt.f64 1/2)))))))
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 1/2))) (*.f64 x (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 1/2))) (/.f64 1/2 (*.f64 x 1/2))))) (*.f64 (pow.f64 x 2) (+.f64 (/.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (sqrt.f64 1/2))) (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 1/2))) (/.f64 1/2 (*.f64 x 1/2))) (sqrt.f64 1/2))))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 (sqrt.f64 1/2) 3)))) (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (sqrt.f64 1/2)))) (*.f64 1/2 (/.f64 1 (*.f64 x (pow.f64 (sqrt.f64 1/2) 2))))) (sqrt.f64 1/2)))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 x 3) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 (sqrt.f64 1/2) 3)))) (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (sqrt.f64 1/2)))) (*.f64 1/2 (/.f64 1 (*.f64 x (pow.f64 (sqrt.f64 1/2) 2))))) (sqrt.f64 1/2)))) (sqrt.f64 1/2)))) (*.f64 1/4 (/.f64 (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (sqrt.f64 1/2)))) (*.f64 1/2 (/.f64 1 (*.f64 x (pow.f64 (sqrt.f64 1/2) 2))))) (*.f64 x (pow.f64 (sqrt.f64 1/2) 2))))))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (sqrt.f64 1/2)))) (*.f64 x (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (sqrt.f64 1/2)))) (*.f64 1/2 (/.f64 1 (*.f64 x (pow.f64 (sqrt.f64 1/2) 2)))))))))
(+.f64 (neg.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) 1) (pow.f64 (sqrt.f64 1/2) 3))) (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (sqrt.f64 1/2)))) (/.f64 1/2 (*.f64 x (pow.f64 (sqrt.f64 1/2) 2)))) (sqrt.f64 1/2)))))) (+.f64 (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (sqrt.f64 1/2)))) (*.f64 x (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (sqrt.f64 1/2)))) (/.f64 1/2 (*.f64 x (pow.f64 (sqrt.f64 1/2) 2)))))) (neg.f64 (*.f64 (pow.f64 x 3) (+.f64 (neg.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) 1) (pow.f64 (sqrt.f64 1/2) 3))) (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (sqrt.f64 1/2)))) (/.f64 1/2 (*.f64 x (pow.f64 (sqrt.f64 1/2) 2)))) (sqrt.f64 1/2)))) (sqrt.f64 1/2)))) (*.f64 1/4 (/.f64 (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (sqrt.f64 1/2)))) (/.f64 1/2 (*.f64 x (pow.f64 (sqrt.f64 1/2) 2)))) (*.f64 x (pow.f64 (sqrt.f64 1/2) 2)))))))))
(-.f64 (-.f64 (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 1/2))) (*.f64 x (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 1/2))) (/.f64 1/2 (*.f64 x 1/2))))) (*.f64 (pow.f64 x 3) (-.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 1/2))) (/.f64 1/2 (*.f64 x 1/2))) x)) (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 (+.f64 (/.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (sqrt.f64 1/2))) (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 1/2))) (/.f64 1/2 (*.f64 x 1/2))) (sqrt.f64 1/2)))) (sqrt.f64 1/2)))))) (*.f64 (pow.f64 x 2) (+.f64 (/.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (sqrt.f64 1/2))) (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 1/2))) (/.f64 1/2 (*.f64 x 1/2))) (sqrt.f64 1/2))))))
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
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(/.f64 (-.f64 1 (*.f64 (neg.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)) (neg.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)))) (-.f64 1 (neg.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))))
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(/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3)) (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)))
(pow.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)) 1)
(-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))
(pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))) 3)
(-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)) 3) 1/3)
(-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))
(pow.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))) 2)
(-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))
(sqrt.f64 (pow.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)) 2))
(fabs.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)))
(log.f64 (exp.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))))
(-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)))))
(cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)) 3))
(-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))
(expm1.f64 (log1p.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))))
(exp.f64 (log1p.f64 (neg.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))) 1))
(exp.f64 (log1p.f64 (neg.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))))
(log1p.f64 (expm1.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))))
(-.f64 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)) 1)
(+.f64 1 (-.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2) 1))
(+.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2) 0)
(*.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))
(pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)
(*.f64 (+.f64 1/2 (/.f64 1/2 x)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 3)
(*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 1/2 (/.f64 1/2 x)))
(*.f64 (+.f64 1/2 (/.f64 1/2 x)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 3)
(*.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2) 1)
(pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2) (*.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(*.f64 (+.f64 1/2 (/.f64 1/2 x)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 3)
(*.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/4) (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/4))
(pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)
(*.f64 (pow.f64 1 3/2) (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))
(pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)
(*.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 3/2) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 3/2))
(*.f64 (+.f64 1/2 (/.f64 1/2 x)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 3)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2) 3/2) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 3/2))
(*.f64 (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4) 3) (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4) 3))
(pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4) 6)
(*.f64 (*.f64 (+.f64 1/2 (/.f64 1/2 x)) (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (*.f64 (+.f64 1/2 (/.f64 1/2 x)) (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(*.f64 (*.f64 (+.f64 1/2 (/.f64 1/2 x)) (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4)) (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4))
(*.f64 (+.f64 1/2 (/.f64 1/2 x)) (*.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4) (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4)))
(*.f64 (+.f64 1/2 (/.f64 1/2 x)) (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/2))
(/.f64 (*.f64 (+.f64 1/8 (/.f64 1/8 (pow.f64 x 3))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 1/4 (-.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 1/4 x))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 1/8 (/.f64 1/8 (pow.f64 x 3)))) (+.f64 1/4 (-.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 1/4 x))))
(*.f64 (+.f64 1/8 (/.f64 1/8 (pow.f64 x 3))) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (+.f64 (/.f64 -1/4 x) 1/4))))
(/.f64 (*.f64 (+.f64 1/4 (/.f64 1/4 (pow.f64 x 2))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 1/2 (/.f64 1/2 x)))
(*.f64 (+.f64 1/4 (/.f64 1/4 (pow.f64 x 2))) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 1/2 (/.f64 1/2 x))))
(sqrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3))
(log.f64 (exp.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)))
(pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))))
(cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 9/2))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)))
(exp.f64 (*.f64 3/2 (log.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1))
(pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3))
(*.f64 (+.f64 1/2 (/.f64 1/2 x)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 3)
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)))

eval651.0ms (6.7%)

Compiler

Compiled 19024 to 17033 computations (10.5% saved)

prune90.0ms (0.9%)

Pruning

21 alts after pruning (6 fresh and 15 done)

PrunedKeptTotal
New4940494
Fresh066
Picked055
Done01010
Total49421515
Accuracy
100.0%
Counts
515 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.4%
(pow.f64 (*.f64 x (sqrt.f64 1/8)) 2)
51.1%
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)) (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 3/2 (/.f64 1/2 x))))
77.7%
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
51.2%
(/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
52.1%
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
76.9%
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
50.4%
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
50.2%
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
51.4%
(-.f64 1 (sqrt.f64 1/2))
27.6%
(-.f64 1 1)
38.1%
(-.f64 1/4 (/.f64 1/4 (hypot.f64 1 x)))
13.0%
(-.f64 1/4 (/.f64 1/4 x))
32.5%
(+.f64 (pow.f64 (*.f64 (pow.f64 x 6) 1/512) 1/3) (*.f64 -11/128 (pow.f64 x 4)))
48.7%
(+.f64 (pow.f64 (*.f64 x (sqrt.f64 1/8)) 2) (*.f64 -11/128 (pow.f64 x 4)))
50.6%
(+.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) (-.f64 1 (sqrt.f64 1/2)))
49.4%
(+.f64 (*.f64 (pow.f64 x 4) -11/128) (+.f64 (*.f64 (pow.f64 x 2) 1/8) (*.f64 (pow.f64 x 6) 69/1024)))
49.0%
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4)))
12.7%
(+.f64 1/4 (/.f64 1/4 x))
50.7%
(*.f64 1/8 (pow.f64 x 2))
34.5%
(cbrt.f64 (*.f64 (pow.f64 x 6) 1/512))
13.7%
1/4
Compiler

Compiled 481 to 420 computations (12.7% saved)

regimes97.0ms (1%)

Counts
26 → 2
Calls
Call 1
Inputs
1/4
(-.f64 1 1)
(+.f64 1/4 (/.f64 1/4 x))
(-.f64 1/4 (/.f64 1/4 x))
(-.f64 1 (sqrt.f64 1/2))
(*.f64 1/8 (pow.f64 x 2))
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
(-.f64 1/4 (/.f64 1/4 (hypot.f64 1 x)))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(-.f64 1 (+.f64 1 (*.f64 (pow.f64 x 2) -1/8)))
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2)
(/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(cbrt.f64 (*.f64 (pow.f64 x 6) 1/512))
(pow.f64 (*.f64 x (sqrt.f64 1/8)) 2)
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4)))
(+.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) (-.f64 1 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)) (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 3/2 (/.f64 1/2 x))))
(+.f64 (pow.f64 (*.f64 x (sqrt.f64 1/8)) 2) (*.f64 -11/128 (pow.f64 x 4)))
(+.f64 (pow.f64 (*.f64 (pow.f64 x 6) 1/512) 1/3) (*.f64 -11/128 (pow.f64 x 4)))
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 69/1024 (pow.f64 x 6))))
(+.f64 (*.f64 (pow.f64 x 4) -11/128) (+.f64 (*.f64 (pow.f64 x 2) 1/8) (*.f64 (pow.f64 x 6) 69/1024)))
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) 3/2)) (+.f64 (sqrt.f64 (-.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) (-.f64 3/2 (/.f64 -1/2 (hypot.f64 1 x)))))
Outputs
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 69/1024 (pow.f64 x 6))))
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
Calls

7 calls:

39.0ms
x
22.0ms
(/.f64 1 (hypot.f64 1 x))
11.0ms
(hypot.f64 1 x)
8.0ms
(sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))
5.0ms
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
Results
AccuracySegmentsBranch
100.0%3x
100.0%2(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
100.0%2(sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))
100.0%2(*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))
100.0%2(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
100.0%2(/.f64 1 (hypot.f64 1 x))
100.0%2(hypot.f64 1 x)
Compiler

Compiled 54 to 47 computations (13% saved)

regimes54.0ms (0.6%)

Counts
24 → 2
Calls
Call 1
Inputs
1/4
(-.f64 1 1)
(+.f64 1/4 (/.f64 1/4 x))
(-.f64 1/4 (/.f64 1/4 x))
(-.f64 1 (sqrt.f64 1/2))
(*.f64 1/8 (pow.f64 x 2))
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
(-.f64 1/4 (/.f64 1/4 (hypot.f64 1 x)))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(-.f64 1 (+.f64 1 (*.f64 (pow.f64 x 2) -1/8)))
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2)
(/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(cbrt.f64 (*.f64 (pow.f64 x 6) 1/512))
(pow.f64 (*.f64 x (sqrt.f64 1/8)) 2)
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4)))
(+.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) (-.f64 1 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)) (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 3/2 (/.f64 1/2 x))))
(+.f64 (pow.f64 (*.f64 x (sqrt.f64 1/8)) 2) (*.f64 -11/128 (pow.f64 x 4)))
(+.f64 (pow.f64 (*.f64 (pow.f64 x 6) 1/512) 1/3) (*.f64 -11/128 (pow.f64 x 4)))
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 69/1024 (pow.f64 x 6))))
(+.f64 (*.f64 (pow.f64 x 4) -11/128) (+.f64 (*.f64 (pow.f64 x 2) 1/8) (*.f64 (pow.f64 x 6) 69/1024)))
Outputs
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 69/1024 (pow.f64 x 6))))
(/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
Calls

6 calls:

21.0ms
(/.f64 1 (hypot.f64 1 x))
11.0ms
(hypot.f64 1 x)
6.0ms
(sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))
5.0ms
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
5.0ms
(*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))
Results
AccuracySegmentsBranch
99.5%2(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
99.5%2(sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))
99.5%2(*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))
99.5%2(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
99.5%2(/.f64 1 (hypot.f64 1 x))
99.5%2(hypot.f64 1 x)
Compiler

Compiled 52 to 46 computations (11.5% saved)

regimes233.0ms (2.4%)

Counts
22 → 2
Calls
Call 1
Inputs
1/4
(-.f64 1 1)
(+.f64 1/4 (/.f64 1/4 x))
(-.f64 1/4 (/.f64 1/4 x))
(-.f64 1 (sqrt.f64 1/2))
(*.f64 1/8 (pow.f64 x 2))
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
(-.f64 1/4 (/.f64 1/4 (hypot.f64 1 x)))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(-.f64 1 (+.f64 1 (*.f64 (pow.f64 x 2) -1/8)))
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2)
(/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(cbrt.f64 (*.f64 (pow.f64 x 6) 1/512))
(pow.f64 (*.f64 x (sqrt.f64 1/8)) 2)
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4)))
(+.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) (-.f64 1 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)) (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 3/2 (/.f64 1/2 x))))
(+.f64 (pow.f64 (*.f64 x (sqrt.f64 1/8)) 2) (*.f64 -11/128 (pow.f64 x 4)))
(+.f64 (pow.f64 (*.f64 (pow.f64 x 6) 1/512) 1/3) (*.f64 -11/128 (pow.f64 x 4)))
Outputs
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4)))
(/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
Calls

6 calls:

114.0ms
(/.f64 1 (hypot.f64 1 x))
93.0ms
(*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))
10.0ms
(hypot.f64 1 x)
5.0ms
(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
5.0ms
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
Results
AccuracySegmentsBranch
99.4%2(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
99.4%2(sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))
99.4%2(*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))
99.4%2(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
99.4%2(/.f64 1 (hypot.f64 1 x))
99.4%2(hypot.f64 1 x)
Compiler

Compiled 52 to 46 computations (11.5% saved)

regimes9.0ms (0.1%)

Counts
16 → 2
Calls
Call 1
Inputs
1/4
(-.f64 1 1)
(+.f64 1/4 (/.f64 1/4 x))
(-.f64 1/4 (/.f64 1/4 x))
(-.f64 1 (sqrt.f64 1/2))
(*.f64 1/8 (pow.f64 x 2))
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
(-.f64 1/4 (/.f64 1/4 (hypot.f64 1 x)))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(-.f64 1 (+.f64 1 (*.f64 (pow.f64 x 2) -1/8)))
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2)
(/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(cbrt.f64 (*.f64 (pow.f64 x 6) 1/512))
(pow.f64 (*.f64 x (sqrt.f64 1/8)) 2)
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
Outputs
(*.f64 1/8 (pow.f64 x 2))
(/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
Calls

1 calls:

8.0ms
(hypot.f64 1 x)
Results
AccuracySegmentsBranch
99.1%2(hypot.f64 1 x)
Compiler

Compiled 4 to 3 computations (25% saved)

regimes7.0ms (0.1%)

Counts
12 → 2
Calls
Call 1
Inputs
1/4
(-.f64 1 1)
(+.f64 1/4 (/.f64 1/4 x))
(-.f64 1/4 (/.f64 1/4 x))
(-.f64 1 (sqrt.f64 1/2))
(*.f64 1/8 (pow.f64 x 2))
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
(-.f64 1/4 (/.f64 1/4 (hypot.f64 1 x)))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(-.f64 1 (+.f64 1 (*.f64 (pow.f64 x 2) -1/8)))
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2)
Outputs
(*.f64 1/8 (pow.f64 x 2))
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
Calls

1 calls:

6.0ms
(hypot.f64 1 x)
Results
AccuracySegmentsBranch
98.6%2(hypot.f64 1 x)
Compiler

Compiled 4 to 3 computations (25% saved)

regimes65.0ms (0.7%)

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

1 calls:

65.0ms
x
Results
AccuracySegmentsBranch
97.8%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes14.0ms (0.1%)

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

1 calls:

13.0ms
x
Results
AccuracySegmentsBranch
75.7%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes12.0ms (0.1%)

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

1 calls:

12.0ms
x
Results
AccuracySegmentsBranch
38.0%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
1/4
Outputs
1/4
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
13.7%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0000002795144407
613.351562885826
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0000002795144407
613.351562885826
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0000002795144407
613.351562885826
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0000002795144407
613.351562885826
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0000002795144407
613.351562885826
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch60.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
36.0ms
3.174055557304218e-10
613.3507476921221
23.0ms
-108049.01264740639
-0.000747682392070315
Results
53.0ms288×256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
Compiler

Compiled 264 to 243 computations (8% saved)

bsearch303.0ms (3.1%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
148.0ms
5.979616900014019e-89
5.333753341200301e-77
155.0ms
-1.539614616693699e-73
-5.409438226840293e-79
Results
292.0ms288×1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
1.0ms1024valid
0.0ms1024valid
Compiler

Compiled 226 to 224 computations (0.9% saved)

bsearch234.0ms (2.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
166.0ms
5.979616900014019e-89
5.333753341200301e-77
67.0ms
-1.539614616693699e-73
-5.409438226840293e-79
Results
224.0ms288×1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
Compiler

Compiled 169 to 167 computations (1.2% saved)

simplify26.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
070621
1102621
2119621
3131621
4140621
5143621
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 (hypot.f64 1 x) 2) (+.f64 (*.f64 -11/128 (pow.f64 x 4)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 69/1024 (pow.f64 x 6)))) (/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(if (<=.f64 (hypot.f64 1 x) 2) (+.f64 (*.f64 -11/128 (pow.f64 x 4)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 69/1024 (pow.f64 x 6)))) (/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(if (<=.f64 (hypot.f64 1 x) 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4))) (/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(if (<=.f64 (hypot.f64 1 x) 2) (*.f64 1/8 (pow.f64 x 2)) (/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(if (<=.f64 (hypot.f64 1 x) 2) (*.f64 1/8 (pow.f64 x 2)) (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))))
(if (<=.f64 x -3/2) (-.f64 1 (sqrt.f64 1/2)) (if (<=.f64 x 3422735716801577/2251799813685248) (*.f64 1/8 (pow.f64 x 2)) (-.f64 1 (sqrt.f64 1/2))))
(if (<=.f64 x -2802961503436253/130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064) (-.f64 1 (sqrt.f64 1/2)) (if (<=.f64 x 2802961503436253/130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064) (-.f64 1 1) (-.f64 1 (sqrt.f64 1/2))))
(if (<=.f64 x -5475552704387099/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128) 1/4 (if (<=.f64 x 5475552704387099/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128) (-.f64 1 1) 1/4))
1/4
Outputs
(if (<=.f64 (hypot.f64 1 x) 2) (+.f64 (*.f64 -11/128 (pow.f64 x 4)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 69/1024 (pow.f64 x 6)))) (/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(if (<=.f64 (hypot.f64 1 x) 2) (+.f64 (*.f64 -11/128 (pow.f64 x 4)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 69/1024 (pow.f64 x 6)))) (/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(if (<=.f64 (hypot.f64 1 x) 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4))) (/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(if (<=.f64 (hypot.f64 1 x) 2) (+.f64 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 1/8 (pow.f64 x 2))) (/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(if (<=.f64 (hypot.f64 1 x) 2) (*.f64 1/8 (pow.f64 x 2)) (/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(if (<=.f64 (hypot.f64 1 x) 2) (*.f64 1/8 (pow.f64 x 2)) (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))))
(if (<=.f64 x -3/2) (-.f64 1 (sqrt.f64 1/2)) (if (<=.f64 x 3422735716801577/2251799813685248) (*.f64 1/8 (pow.f64 x 2)) (-.f64 1 (sqrt.f64 1/2))))
(if (or (<=.f64 x -3/2) (not (<=.f64 x 3422735716801577/2251799813685248))) (-.f64 1 (sqrt.f64 1/2)) (*.f64 1/8 (pow.f64 x 2)))
(if (<=.f64 x -2802961503436253/130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064) (-.f64 1 (sqrt.f64 1/2)) (if (<=.f64 x 2802961503436253/130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064) (-.f64 1 1) (-.f64 1 (sqrt.f64 1/2))))
(if (or (<=.f64 x -2802961503436253/130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064) (not (<=.f64 x 2802961503436253/130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064))) (-.f64 1 (sqrt.f64 1/2)) 0)
(if (<=.f64 x -5475552704387099/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128) 1/4 (if (<=.f64 x 5475552704387099/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128) (-.f64 1 1) 1/4))
(if (<=.f64 x -5475552704387099/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128) 1/4 (if (<=.f64 x 5475552704387099/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128) 0 1/4))
1/4
Compiler

Compiled 204 to 174 computations (14.7% saved)

soundness692.0ms (7.2%)

Rules
1276×unpow-prod-down
1161×log1p-expm1-u
768×log1p-expm1-u
768×expm1-log1p-u
756×prod-diff
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022164
150136
278136
3102136
4138136
5158136
6170136
7176136
8177136
057610020
111339832
230319763
01374
116474
2212074
028240
1441213
26362213
057610020
111339832
230319763
Stop Event
node limit
node limit
node limit
node limit
saturated
Compiler

Compiled 355 to 314 computations (11.5% saved)

end0.0ms (0%)

preprocess143.0ms (1.5%)

Compiler

Compiled 418 to 356 computations (14.8% saved)

Profiling

Loading profile data...