Given's Rotation SVD example, simplified

Time bar (total: 11.6s)

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)

sample2.3s (20.3%)

Results
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Bogosity

preprocess524.0ms (4.5%)

Algorithm
egg-herbie
Rules
172×fma-define
82×fma-neg
52×distribute-rgt-in
44×add0
44×distribute-lft-in
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
590-0-(-.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
022160
172128
2165128
3277128
4451128
5485128
6510128
7522128
8526128
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 1/2 (/.f64 1 (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 (/.f64 1 (hypot.f64 1 x))))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (/.f64 1 (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 (/.f64 1 (hypot.f64 1 (neg.f64 x)))))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (/.f64 1 (hypot.f64 1 x))))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 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 1/2 (/.f64 1 (hypot.f64 1 (neg.f64 x))))))))
(+.f64 -1 (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)
Symmetry

(abs x)

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
78.4%
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
Compiler

Compiled 11 to 10 computations (9.1% saved)

localize180.0ms (1.6%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
100.0%
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
100.0%
(/.f64 1/2 (hypot.f64 1 x))
78.4%
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
Compiler

Compiled 38 to 32 computations (15.8% saved)

series10.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(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
@0
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
1.0ms
x
@inf
(/.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)))))

rewrite220.0ms (1.9%)

Algorithm
batch-egg-rewrite
Rules
1498×fma-define
812×log1p-expm1-u
812×expm1-log1p-u
756×prod-diff
660×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01374
117074
2234074
Stop Event
node limit
Counts
3 → 130
Calls
Call 1
Inputs
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(/.f64 1/2 (hypot.f64 1 x))
(sqrt.f64 (+.f64 1/2 (/.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 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 0)
(+.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 (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 (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 (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 1/2 (/.f64 1/2 (hypot.f64 1 x))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(/.f64 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 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3) (+.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2) (-.f64 0 (*.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 0))))
(/.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 (pow.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3)) (+.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)
(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)))))))
(log1p.f64 (expm1.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)))))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 1))
(fma.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 0)
(fma.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1)
(fma.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1 0)
(fma.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) 0)
(fma.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)))))) 0)
(fma.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (neg.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 1)
(fma.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4) (neg.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4)) 1)
(fma.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)))))) 0)
(fma.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)))))) 0)
(fma.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)))))) 0)
(fma.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 1)
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (cbrt.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (cbrt.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 1)
(fma.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (sqrt.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 1)
(fma.f64 (neg.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1)
(fma.f64 (neg.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4)) (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4) 1)
(+.f64 (/.f64 1/2 (hypot.f64 1 x)) 0)
(+.f64 0 (/.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 (/.f64 1/2 (hypot.f64 1 x)) 0)
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/2 (hypot.f64 1 x)))) 1)
(*.f64 1 (/.f64 1/2 (hypot.f64 1 x)))
(*.f64 1/2 (/.f64 1 (hypot.f64 1 x)))
(*.f64 (/.f64 1/2 (hypot.f64 1 x)) 1)
(*.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 (sqrt.f64 (/.f64 1/2 (hypot.f64 1 x))) (sqrt.f64 (/.f64 1/2 (hypot.f64 1 x))))
(*.f64 -1/2 (/.f64 1 (neg.f64 (hypot.f64 1 x))))
(*.f64 (/.f64 1 (hypot.f64 1 x)) 1/2)
(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)
(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))))
(log1p.f64 (expm1.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))
(fma.f64 1 (/.f64 1/2 (hypot.f64 1 x)) 0)
(fma.f64 1/2 (/.f64 1 (hypot.f64 1 x)) 0)
(fma.f64 (/.f64 1/2 (hypot.f64 1 x)) 1 0)
(fma.f64 (cbrt.f64 (/.f64 1/2 (hypot.f64 1 x))) (cbrt.f64 (/.f64 1/4 (fma.f64 x x 1))) 0)
(fma.f64 (cbrt.f64 (/.f64 1/4 (fma.f64 x x 1))) (cbrt.f64 (/.f64 1/2 (hypot.f64 1 x))) 0)
(fma.f64 (sqrt.f64 (/.f64 1/2 (hypot.f64 1 x))) (sqrt.f64 (/.f64 1/2 (hypot.f64 1 x))) 0)
(fma.f64 -1/2 (/.f64 1 (neg.f64 (hypot.f64 1 x))) 0)
(fma.f64 (/.f64 1 (hypot.f64 1 x)) 1/2 0)
(+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 0)
(+.f64 0 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (log.f64 (sqrt.f64 (exp.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)))) 0)
(-.f64 (+.f64 1 (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 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(*.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(*.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4) (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(/.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2) (+.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (-.f64 0 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 0))))
(/.f64 (sqrt.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1)))) (sqrt.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(/.f64 (sqrt.f64 (+.f64 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)) 1/8)) (sqrt.f64 (fma.f64 (/.f64 1/2 (hypot.f64 1 x)) (-.f64 (/.f64 1/2 (hypot.f64 1 x)) 1/2) 1/4)))
(pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/2)
(pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3)
(pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2) 1/3)
(pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4) 2)
(fabs.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(exp.f64 (*.f64 (log.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1))
(fma.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 0)
(fma.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -1)
(fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 1 0)
(fma.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 0)
(fma.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 0)
(fma.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4) (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4) 0)
(fma.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 0)
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 1/2) 0)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) -1)
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 0)
(fma.f64 (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4)) -1)

simplify130.0ms (1.1%)

Algorithm
egg-herbie
Rules
1138×fma-neg
868×add0
740×cancel-sign-sub-inv
616×+-commutative
496×unswap-sqr
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03746720
111636378
238816356
Stop Event
node limit
Counts
166 → 266
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))
1/2
(+.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))))
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))))))
(+.f64 1 (neg.f64 (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))))) 0)
(+.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 (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 (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 (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 1/2 (/.f64 1/2 (hypot.f64 1 x))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(/.f64 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 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3) (+.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2) (-.f64 0 (*.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 0))))
(/.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 (pow.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3)) (+.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)
(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)))))))
(log1p.f64 (expm1.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)))))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 1))
(fma.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 0)
(fma.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1)
(fma.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1 0)
(fma.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) 0)
(fma.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)))))) 0)
(fma.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (neg.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 1)
(fma.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4) (neg.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4)) 1)
(fma.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)))))) 0)
(fma.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)))))) 0)
(fma.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)))))) 0)
(fma.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 1)
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (cbrt.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (cbrt.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 1)
(fma.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (sqrt.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 1)
(fma.f64 (neg.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1)
(fma.f64 (neg.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4)) (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4) 1)
(+.f64 (/.f64 1/2 (hypot.f64 1 x)) 0)
(+.f64 0 (/.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 (/.f64 1/2 (hypot.f64 1 x)) 0)
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/2 (hypot.f64 1 x)))) 1)
(*.f64 1 (/.f64 1/2 (hypot.f64 1 x)))
(*.f64 1/2 (/.f64 1 (hypot.f64 1 x)))
(*.f64 (/.f64 1/2 (hypot.f64 1 x)) 1)
(*.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 (sqrt.f64 (/.f64 1/2 (hypot.f64 1 x))) (sqrt.f64 (/.f64 1/2 (hypot.f64 1 x))))
(*.f64 -1/2 (/.f64 1 (neg.f64 (hypot.f64 1 x))))
(*.f64 (/.f64 1 (hypot.f64 1 x)) 1/2)
(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)
(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))))
(log1p.f64 (expm1.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))
(fma.f64 1 (/.f64 1/2 (hypot.f64 1 x)) 0)
(fma.f64 1/2 (/.f64 1 (hypot.f64 1 x)) 0)
(fma.f64 (/.f64 1/2 (hypot.f64 1 x)) 1 0)
(fma.f64 (cbrt.f64 (/.f64 1/2 (hypot.f64 1 x))) (cbrt.f64 (/.f64 1/4 (fma.f64 x x 1))) 0)
(fma.f64 (cbrt.f64 (/.f64 1/4 (fma.f64 x x 1))) (cbrt.f64 (/.f64 1/2 (hypot.f64 1 x))) 0)
(fma.f64 (sqrt.f64 (/.f64 1/2 (hypot.f64 1 x))) (sqrt.f64 (/.f64 1/2 (hypot.f64 1 x))) 0)
(fma.f64 -1/2 (/.f64 1 (neg.f64 (hypot.f64 1 x))) 0)
(fma.f64 (/.f64 1 (hypot.f64 1 x)) 1/2 0)
(+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 0)
(+.f64 0 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (log.f64 (sqrt.f64 (exp.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)))) 0)
(-.f64 (+.f64 1 (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 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(*.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(*.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4) (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(/.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2) (+.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (-.f64 0 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 0))))
(/.f64 (sqrt.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1)))) (sqrt.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(/.f64 (sqrt.f64 (+.f64 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)) 1/8)) (sqrt.f64 (fma.f64 (/.f64 1/2 (hypot.f64 1 x)) (-.f64 (/.f64 1/2 (hypot.f64 1 x)) 1/2) 1/4)))
(pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/2)
(pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3)
(pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2) 1/3)
(pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4) 2)
(fabs.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(exp.f64 (*.f64 (log.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1))
(fma.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 0)
(fma.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -1)
(fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 1 0)
(fma.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 0)
(fma.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 0)
(fma.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4) (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4) 0)
(fma.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 0)
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 1/2) 0)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) -1)
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 0)
(fma.f64 (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4)) -1)
Outputs
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 1/8 (pow.f64 x 2)))
(fma.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)))
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 1/8 (pow.f64 x 2))))
(fma.f64 -11/128 (pow.f64 x 4) (fma.f64 69/1024 (pow.f64 x 6) (*.f64 1/8 (pow.f64 x 2))))
(fma.f64 -11/128 (pow.f64 x 4) (fma.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)))))
(fma.f64 -11/128 (pow.f64 x 4) (fma.f64 -1843/32768 (pow.f64 x 8) (fma.f64 69/1024 (pow.f64 x 6) (*.f64 1/8 (pow.f64 x 2)))))
(fma.f64 -11/128 (pow.f64 x 4) (fma.f64 -1843/32768 (pow.f64 x 8) (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6)))))
(-.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 1 (+.f64 (sqrt.f64 1/2) (/.f64 (/.f64 1/4 (sqrt.f64 1/2)) x)))
(-.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 1 (+.f64 (sqrt.f64 1/2) (/.f64 (/.f64 1/4 (sqrt.f64 1/2)) x))))
(+.f64 (/.f64 1/32 (*.f64 (pow.f64 x 2) (*.f64 1/2 (sqrt.f64 1/2)))) (-.f64 1 (+.f64 (sqrt.f64 1/2) (/.f64 (/.f64 1/4 (sqrt.f64 1/2)) x))))
(-.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 (fma.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 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 3/32 (*.f64 (sqrt.f64 1/2) (pow.f64 x 3))) (+.f64 (sqrt.f64 1/2) (/.f64 (/.f64 1/4 (sqrt.f64 1/2)) x)))))
(+.f64 (+.f64 (/.f64 1/32 (*.f64 (pow.f64 x 2) (*.f64 1/2 (sqrt.f64 1/2)))) (/.f64 3/32 (*.f64 (sqrt.f64 1/2) (pow.f64 x 3)))) (-.f64 1 (+.f64 (sqrt.f64 1/2) (/.f64 (/.f64 1/4 (sqrt.f64 1/2)) x))))
(-.f64 1 (sqrt.f64 1/2))
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1/2
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(/.f64 1/2 x)
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1
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(sqrt.f64 1/2)
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(sqrt.f64 1/2)
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(/.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(/.f64 (pow.f64 (+.f64 -1/2 (/.f64 -1/2 (hypot.f64 1 x))) 3/2) (+.f64 -1/2 (/.f64 -1/2 (hypot.f64 1 x))))
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(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
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(fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) -1)
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(fma.f64 (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4)) -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))))

eval125.0ms (1.1%)

Compiler

Compiled 5066 to 4569 computations (9.8% saved)

prune42.0ms (0.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New2588266
Fresh000
Picked011
Done000
Total2589267
Accuracy
100.0%
Counts
267 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
79.2%
(/.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))))))
78.4%
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
52.1%
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
52.6%
(-.f64 1 (sqrt.f64 1/2))
28.1%
(-.f64 1 1)
78.3%
(+.f64 (-.f64 2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -1)
47.6%
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 1/8 (pow.f64 x 2)))
79.2%
(*.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)))))))
49.6%
(*.f64 1/8 (pow.f64 x 2))
Compiler

Compiled 189 to 170 computations (10.1% saved)

localize682.0ms (5.9%)

Localize:

Found 11 expressions with local error:

NewAccuracyProgram
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))))))
100.0%
(/.f64 1/2 (hypot.f64 1 x))
100.0%
(+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
79.2%
(-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))
100.0%
(pow.f64 x 4)
99.9%
(*.f64 -11/128 (pow.f64 x 4))
76.1%
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 1/8 (pow.f64 x 2)))
100.0%
(/.f64 1/2 (hypot.f64 1 x))
100.0%
(+.f64 1 (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 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
79.2%
(-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))
Compiler

Compiled 185 to 156 computations (15.7% saved)

series29.0ms (0.3%)

Counts
9 → 75
Calls

27 calls:

TimeVariablePointExpression
6.0ms
x
@inf
(pow.f64 x 4)
3.0ms
x
@inf
(*.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)))))))
2.0ms
x
@-inf
(*.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)))))))
1.0ms
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
@-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))))))

rewrite246.0ms (2.1%)

Algorithm
batch-egg-rewrite
Rules
1224×log1p-expm1-u
296×expm1-log1p-u
228×associate-*r*
161×add0
156×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026285
1399231
25685231
Stop Event
node limit
Counts
9 → 423
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 (+.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 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 1/8 (pow.f64 x 2)))
(*.f64 -11/128 (pow.f64 x 4))
(pow.f64 x 4)
(-.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 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
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 (/.f64 -1/2 (hypot.f64 1 x))) 0)
(+.f64 0 (+.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 (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))
(*.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 (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))
(*.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 (pow.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) 3) (+.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) 2) (-.f64 0 (*.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) 0))))
(/.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 (*.f64 (-.f64 1/8 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3))) 1) (+.f64 1/4 (+.f64 (/.f64 1/4 (+.f64 1 (pow.f64 x 2))) (/.f64 1/4 (hypot.f64 1 x)))))
(/.f64 (*.f64 (-.f64 1/4 (/.f64 1/4 (+.f64 1 (pow.f64 x 2)))) 1) (+.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))))))
(/.f64 (-.f64 1/4 (*.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 (pow.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) 2) 0) (+.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))) 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)))) 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)))) (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 (-.f64 1/4 (/.f64 1/4 (+.f64 1 (pow.f64 x 2)))) (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)))))
(pow.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) 2))
(log.f64 (exp.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))))))
(cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))))
(log1p.f64 (expm1.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))))
(exp.f64 (log.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) 1))
(fma.f64 1 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) 0)
(fma.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)))) 0)
(fma.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)))) 0)
(+.f64 1 (neg.f64 (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 1 (*.f64 (neg.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(+.f64 1 (*.f64 (neg.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4)) (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4)))
(+.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 0)
(+.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 0))
(+.f64 (-.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))) 0))
(+.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (*.f64 0 (+.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))))) (*.f64 0 (/.f64 1 (+.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 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (neg.f64 (/.f64 1/2 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (hypot.f64 1 x)))))
(+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (*.f64 (/.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 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 1/2) (*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (/.f64 -1/2 (hypot.f64 1 x))))
(-.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))))) 0)
(-.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (/.f64 1/2 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (hypot.f64 1 x))))
(-.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (-.f64 (/.f64 1/2 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (hypot.f64 1 x))) 0))
(-.f64 (exp.f64 (log1p.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 1)
(/.f64 1 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(/.f64 1 (/.f64 (/.f64 1 (-.f64 1 (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 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 -1 (neg.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(/.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3) (+.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2) (-.f64 0 (*.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 0))))
(/.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)))))))
(/.f64 (-.f64 1/8 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3))) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (+.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 (+.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 (*.f64 1/2 (+.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))))) (/.f64 1/2 (hypot.f64 1 x)))) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2))
(/.f64 (*.f64 (-.f64 1/8 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3))) 1) (*.f64 (+.f64 1/4 (+.f64 (/.f64 1/4 (+.f64 1 (pow.f64 x 2))) (/.f64 1/4 (hypot.f64 1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(/.f64 (*.f64 (-.f64 1/8 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3))) -1) (*.f64 (+.f64 1/4 (+.f64 (/.f64 1/4 (+.f64 1 (pow.f64 x 2))) (/.f64 1/4 (hypot.f64 1 x)))) (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(/.f64 (*.f64 (-.f64 1/4 (/.f64 1/4 (+.f64 1 (pow.f64 x 2)))) 1) (*.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 (-.f64 1/4 (/.f64 1/4 (+.f64 1 (pow.f64 x 2)))) -1) (*.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))))))))
(/.f64 (*.f64 -1 (-.f64 1/8 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)))) (*.f64 (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (+.f64 1/4 (+.f64 (/.f64 1/4 (+.f64 1 (pow.f64 x 2))) (/.f64 1/4 (hypot.f64 1 x))))))
(/.f64 (*.f64 -1 (-.f64 1/4 (/.f64 1/4 (+.f64 1 (pow.f64 x 2))))) (*.f64 (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (+.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 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(/.f64 (/.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4))) (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4)))
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(/.f64 (/.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)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
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(expm1.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(exp.f64 (*.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1))
(fma.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 1)
(fma.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 0)
(fma.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)))))) 0)
(fma.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1)
(fma.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4) (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4) 1)
(fma.f64 (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4)) 0)
(+.f64 1 (neg.f64 (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 1 (*.f64 (neg.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(+.f64 1 (*.f64 (neg.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4)) (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4)))
(+.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 0)
(+.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 0))
(+.f64 (-.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))) 0))
(+.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (*.f64 0 (+.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))))) (*.f64 0 (/.f64 1 (+.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 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (neg.f64 (/.f64 1/2 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (hypot.f64 1 x)))))
(+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (*.f64 (/.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 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 1/2) (*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (/.f64 -1/2 (hypot.f64 1 x))))
(-.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))))) 0)
(-.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (/.f64 1/2 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (hypot.f64 1 x))))
(-.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (-.f64 (/.f64 1/2 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (hypot.f64 1 x))) 0))
(-.f64 (exp.f64 (log1p.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 1)
(*.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))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(*.f64 (/.f64 1 (+.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 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 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 (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 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -2)) (*.f64 (/.f64 1 (cbrt.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 (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)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (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)))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(*.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 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -1/2) (/.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4))))
(*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -1/2) (*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -1/2) (+.f64 1/2 (/.f64 -1/2 (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)))) (+.f64 1 (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)))) (*.f64 (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 -1/2 (/.f64 1/2 (hypot.f64 1 x))) (/.f64 1 (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2)) (/.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(*.f64 (/.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4))) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -1/2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) 2) 1) (/.f64 (cbrt.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 (pow.f64 (cbrt.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)) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) 2) (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4))) (/.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) 1) (/.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 (/.f64 (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 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(*.f64 (/.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) 1) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(*.f64 (/.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 1 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(*.f64 (*.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))))) -2))) (/.f64 1 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(*.f64 (*.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))))) -1/2)) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -1/2))
(*.f64 (*.f64 (/.f64 1 (+.f64 1 (sqrt.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)) (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))))
(*.f64 (*.f64 (/.f64 1 (+.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))))) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))))
(*.f64 (/.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 (+.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 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) (-.f64 1 (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 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) -1)
(neg.f64 (/.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))))))))
(neg.f64 (/.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)))))))
(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))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) 3) (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 3) (pow.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) 3) (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)))))))
(log1p.f64 (expm1.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(exp.f64 (log.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(exp.f64 (*.f64 (log.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 1))
(fma.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 0)
(fma.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)))))) 0)
(fma.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) 0)
(fma.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)))))) 0)
(fma.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)))))) 0)

simplify231.0ms (2%)

Algorithm
egg-herbie
Rules
1380×fma-define
1026×add0
1024×times-frac
924×distribute-rgt-in
856×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
078526726
1279125641
Stop Event
node limit
Counts
498 → 478
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)))))))
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2
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1/2
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1/2
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2
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(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -2)) (*.f64 (/.f64 1 (cbrt.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 (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)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (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)))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(*.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 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -1/2) (/.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4))))
(*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -1/2) (*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -1/2) (+.f64 1/2 (/.f64 -1/2 (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)))) (+.f64 1 (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)))) (*.f64 (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 -1/2 (/.f64 1/2 (hypot.f64 1 x))) (/.f64 1 (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2)) (/.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(*.f64 (/.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4))) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -1/2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) 2) 1) (/.f64 (cbrt.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 (pow.f64 (cbrt.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)) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) 2) (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4))) (/.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) 1) (/.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 (/.f64 (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 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(*.f64 (/.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) 1) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(*.f64 (/.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 1 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(*.f64 (*.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))))) -2))) (/.f64 1 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(*.f64 (*.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))))) -1/2)) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -1/2))
(*.f64 (*.f64 (/.f64 1 (+.f64 1 (sqrt.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)) (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))))
(*.f64 (*.f64 (/.f64 1 (+.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))))) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))))
(*.f64 (/.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 (+.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 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) (-.f64 1 (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 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) -1)
(neg.f64 (/.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))))))))
(neg.f64 (/.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)))))))
(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))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) 3) (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 3) (pow.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) 3) (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)))))))
(log1p.f64 (expm1.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(exp.f64 (log.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(exp.f64 (*.f64 (log.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 1))
(fma.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 0)
(fma.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)))))) 0)
(fma.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) 0)
(fma.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)))))) 0)
(fma.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)))))) 0)
Outputs
(*.f64 1/4 (pow.f64 x 2))
(+.f64 (*.f64 -3/16 (pow.f64 x 4)) (*.f64 1/4 (pow.f64 x 2)))
(fma.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))))
(fma.f64 -3/16 (pow.f64 x 4) (fma.f64 5/32 (pow.f64 x 6) (*.f64 1/4 (pow.f64 x 2))))
(fma.f64 -3/16 (pow.f64 x 4) (fma.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)))))
(fma.f64 -3/16 (pow.f64 x 4) (fma.f64 -35/256 (pow.f64 x 8) (fma.f64 5/32 (pow.f64 x 6) (*.f64 1/4 (pow.f64 x 2)))))
(fma.f64 -3/16 (pow.f64 x 4) (fma.f64 -35/256 (pow.f64 x 8) (fma.f64 1/4 (pow.f64 x 2) (*.f64 5/32 (pow.f64 x 6)))))
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 (+.f64 1/2 (/.f64 1/4 (pow.f64 x 3))) (/.f64 1/2 x))
(+.f64 1/2 (+.f64 (/.f64 1/4 (pow.f64 x 3)) (/.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))))
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 1/2 (+.f64 (/.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 (/.f64 3/16 (pow.f64 x 5))) (/.f64 1/2 x)) (/.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)))
(fma.f64 (pow.f64 x 4) -11/128 (*.f64 (pow.f64 x 2) 1/8))
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 1/8 (pow.f64 x 2))))
(fma.f64 -11/128 (pow.f64 x 4) (fma.f64 69/1024 (pow.f64 x 6) (*.f64 (pow.f64 x 2) 1/8)))
(fma.f64 (pow.f64 x 4) -11/128 (fma.f64 (pow.f64 x 2) 1/8 (*.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)))))
(fma.f64 -11/128 (pow.f64 x 4) (fma.f64 -1843/32768 (pow.f64 x 8) (fma.f64 69/1024 (pow.f64 x 6) (*.f64 (pow.f64 x 2) 1/8))))
(fma.f64 (pow.f64 x 4) -11/128 (fma.f64 (pow.f64 x 8) -1843/32768 (fma.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)))))
(fma.f64 -1 (/.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 1/2 (+.f64 1 (sqrt.f64 1/2))))
(-.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (/.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 (/.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 (fma.f64 -1 (/.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 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 (sqrt.f64 1/2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2))) (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))) x)) (/.f64 1/64 (*.f64 (*.f64 (pow.f64 x 2) (*.f64 1/2 (sqrt.f64 1/2))) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2)))) (*.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 1/2 (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)))))))))
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1/2
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1/2
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2
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(-.f64 1 (sqrt.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 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(neg.f64 (/.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))))))))
(/.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 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(neg.f64 (/.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 1/2 (/.f64 -1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(sqrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2))
(fabs.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(log.f64 (exp.f64 (-.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)))))
(log.f64 (+.f64 1 (expm1.f64 (-.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)))))
(cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) 3) (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) 3) (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3))))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3) (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 3) (pow.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) 3) (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3))))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3) (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3))))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3) (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)))))))
(+.f64 (-.f64 2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -1)
(log1p.f64 (expm1.f64 (-.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)))))
(exp.f64 (log.f64 (-.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)))))
(exp.f64 (*.f64 (log.f64 (-.f64 1 (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)))))
(fma.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 0)
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(fma.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)))))) 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))))))
(/.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))))))
(fma.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) 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))))))
(/.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))))))
(fma.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)))))) 0)
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(fma.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)))))) 0)
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))

eval819.0ms (7.1%)

Compiler

Compiled 33626 to 30001 computations (10.8% saved)

prune238.0ms (2.1%)

Pruning

14 alts after pruning (8 fresh and 6 done)

PrunedKeptTotal
New123251237
Fresh033
Picked055
Done011
Total1232141246
Accuracy
100.0%
Counts
1246 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.5%
(fma.f64 (*.f64 x (sqrt.f64 1/8)) (*.f64 x (sqrt.f64 1/8)) (*.f64 (pow.f64 x 4) -11/128))
79.2%
(/.f64 (/.f64 (+.f64 1/4 (/.f64 -1/4 (fma.f64 x x 1))) (-.f64 -1/2 (/.f64 1/2 (hypot.f64 1 x)))) (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
79.2%
(/.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))))))
38.5%
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2)
79.2%
(/.f64 (-.f64 1/2 (sqrt.f64 (/.f64 1/4 (fma.f64 x x 1)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
53.4%
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
78.4%
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
52.1%
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
52.6%
(-.f64 1 (sqrt.f64 1/2))
28.1%
(-.f64 1 1)
78.3%
(+.f64 (-.f64 2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -1)
47.6%
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 1/8 (pow.f64 x 2)))
79.2%
(*.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)))))))
49.6%
(*.f64 1/8 (pow.f64 x 2))
Compiler

Compiled 289 to 255 computations (11.8% saved)

localize1.1s (9.6%)

Localize:

Found 15 expressions with local error:

NewAccuracyProgram
100.0%
(-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
100.0%
(/.f64 (+.f64 1/4 (/.f64 -1/4 (fma.f64 x x 1))) (-.f64 -1/2 (/.f64 1/2 (hypot.f64 1 x))))
99.2%
(/.f64 -1/4 (fma.f64 x x 1))
79.2%
(+.f64 1/4 (/.f64 -1/4 (fma.f64 x x 1)))
100.0%
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
100.0%
(/.f64 1/2 (hypot.f64 1 x))
100.0%
(-.f64 2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
78.3%
(+.f64 (-.f64 2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -1)
99.9%
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))
99.2%
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
98.4%
(-.f64 1 (sqrt.f64 1/2))
100.0%
(+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
99.2%
(/.f64 1/4 (fma.f64 x x 1))
79.2%
(-.f64 1/2 (sqrt.f64 (/.f64 1/4 (fma.f64 x x 1))))
78.8%
(sqrt.f64 (/.f64 1/4 (fma.f64 x x 1)))
Compiler

Compiled 276 to 227 computations (17.8% saved)

series27.0ms (0.2%)

Counts
12 → 125
Calls

33 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))
1.0ms
x
@0
(/.f64 -1/4 (fma.f64 x x 1))
1.0ms
x
@-inf
(/.f64 (+.f64 1/4 (/.f64 -1/4 (fma.f64 x x 1))) (-.f64 -1/2 (/.f64 1/2 (hypot.f64 1 x))))
1.0ms
x
@inf
(/.f64 1/4 (fma.f64 x x 1))
1.0ms
x
@inf
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))

rewrite165.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
286×add0
278×log1p-expm1-u
278×expm1-log1p-u
273×add-cube-cbrt
271×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035338
1619338
Stop Event
node limit
Counts
12 → 392
Calls
Call 1
Inputs
(sqrt.f64 (/.f64 1/4 (fma.f64 x x 1)))
(-.f64 1/2 (sqrt.f64 (/.f64 1/4 (fma.f64 x x 1))))
(/.f64 1/4 (fma.f64 x x 1))
(-.f64 1 (sqrt.f64 1/2))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))
(+.f64 (-.f64 2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -1)
(-.f64 2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(+.f64 1/4 (/.f64 -1/4 (fma.f64 x x 1)))
(/.f64 -1/4 (fma.f64 x x 1))
(/.f64 (+.f64 1/4 (/.f64 -1/4 (fma.f64 x x 1))) (-.f64 -1/2 (/.f64 1/2 (hypot.f64 1 x))))
(-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
Outputs
(+.f64 (sqrt.f64 (/.f64 1/4 (fma.f64 x x 1))) 0)
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 1/4 (fma.f64 x x 1))))) 1)
(*.f64 1 (sqrt.f64 (/.f64 1/4 (fma.f64 x x 1))))
(*.f64 1/2 (pow.f64 (/.f64 1 (fma.f64 x x 1)) 1/2))
(*.f64 1/2 (sqrt.f64 (/.f64 1 (fma.f64 x x 1))))
(*.f64 1/2 (/.f64 1 (sqrt.f64 (fma.f64 x x 1))))
(*.f64 (cbrt.f64 (/.f64 1/4 (fma.f64 x x 1))) (cbrt.f64 (sqrt.f64 (/.f64 1/4 (fma.f64 x x 1)))))
(*.f64 (pow.f64 (/.f64 1/4 (fma.f64 x x 1)) 1/4) (pow.f64 (/.f64 1/4 (fma.f64 x x 1)) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 1/4 (fma.f64 x x 1))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1/4 (fma.f64 x x 1))) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 1/4 (fma.f64 x x 1))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 1/4 (fma.f64 x x 1))) 2)) (sqrt.f64 (cbrt.f64 (/.f64 1/4 (fma.f64 x x 1)))))
(*.f64 (sqrt.f64 -1/4) (sqrt.f64 (/.f64 1 (fma.f64 x x 1))))
(/.f64 1 (sqrt.f64 (*.f64 (fma.f64 x x 1) 4)))
(/.f64 1 (/.f64 (sqrt.f64 (fma.f64 x x 1)) 1/2))
(/.f64 1/2 (sqrt.f64 (fma.f64 x x 1)))
(/.f64 1/2 (sqrt.f64 (neg.f64 (fma.f64 x x 1))))
(/.f64 -1/2 (neg.f64 (sqrt.f64 (fma.f64 x x 1))))
(/.f64 (pow.f64 (/.f64 1/4 (fma.f64 x x 1)) 3/2) (+.f64 (/.f64 1/4 (fma.f64 x x 1)) (-.f64 0 (*.f64 (sqrt.f64 (/.f64 1/4 (fma.f64 x x 1))) 0))))
(/.f64 (sqrt.f64 -1/4) (sqrt.f64 (fma.f64 x x 1)))
(/.f64 (sqrt.f64 -1/4) (sqrt.f64 (neg.f64 (fma.f64 x x 1))))
(/.f64 (-.f64 (/.f64 1/4 (fma.f64 x x 1)) 0) (-.f64 (sqrt.f64 (/.f64 1/4 (fma.f64 x x 1))) 0))
(pow.f64 (sqrt.f64 (/.f64 1/4 (fma.f64 x x 1))) 1)
(pow.f64 (/.f64 1/4 (fma.f64 x x 1)) 1/2)
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/4 (fma.f64 x x 1)))) 3)
(pow.f64 (pow.f64 (/.f64 1/4 (fma.f64 x x 1)) 3/2) 1/3)
(pow.f64 (pow.f64 (/.f64 1/4 (fma.f64 x x 1)) 1/4) 2)
(fabs.f64 (sqrt.f64 (/.f64 1/4 (fma.f64 x x 1))))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 1/4 (fma.f64 x x 1)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 1/4 (fma.f64 x x 1))))))
(cbrt.f64 (pow.f64 (/.f64 1/4 (fma.f64 x x 1)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 1/4 (fma.f64 x x 1)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 1/4 (fma.f64 x x 1)))))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 1/4 (fma.f64 x x 1)))))
(exp.f64 (*.f64 (log.f64 (/.f64 1/4 (fma.f64 x x 1))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 1/4 (fma.f64 x x 1)))) 1))
(fma.f64 1 (sqrt.f64 (/.f64 1/4 (fma.f64 x x 1))) 0)
(fma.f64 (cbrt.f64 (/.f64 1/4 (fma.f64 x x 1))) (cbrt.f64 (sqrt.f64 (/.f64 1/4 (fma.f64 x x 1)))) 0)
(fma.f64 (pow.f64 (/.f64 1/4 (fma.f64 x x 1)) 1/4) (pow.f64 (/.f64 1/4 (fma.f64 x x 1)) 1/4) 0)
(+.f64 1/2 (neg.f64 (sqrt.f64 (/.f64 1/4 (fma.f64 x x 1)))))
(+.f64 (-.f64 1/2 (sqrt.f64 (/.f64 1/4 (fma.f64 x x 1)))) 0)
(*.f64 1 (-.f64 1/2 (sqrt.f64 (/.f64 1/4 (fma.f64 x x 1)))))
(*.f64 (+.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) (/.f64 1 (+.f64 1/2 (sqrt.f64 (/.f64 1/4 (fma.f64 x x 1))))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1/2 (sqrt.f64 (/.f64 1/4 (fma.f64 x x 1)))) 2)) (cbrt.f64 (-.f64 1/2 (sqrt.f64 (/.f64 1/4 (fma.f64 x x 1))))))
(*.f64 (sqrt.f64 (-.f64 1/2 (sqrt.f64 (/.f64 1/4 (fma.f64 x x 1))))) (sqrt.f64 (-.f64 1/2 (sqrt.f64 (/.f64 1/4 (fma.f64 x x 1))))))
(*.f64 (-.f64 1/8 (pow.f64 (/.f64 1/4 (fma.f64 x x 1)) 3/2)) (/.f64 1 (+.f64 1/4 (+.f64 (/.f64 1/4 (fma.f64 x x 1)) (*.f64 1/2 (sqrt.f64 (/.f64 1/4 (fma.f64 x x 1))))))))
(/.f64 1 (/.f64 (+.f64 1/4 (+.f64 (/.f64 1/4 (fma.f64 x x 1)) (*.f64 1/2 (sqrt.f64 (/.f64 1/4 (fma.f64 x x 1)))))) (-.f64 1/8 (pow.f64 (/.f64 1/4 (fma.f64 x x 1)) 3/2))))
(/.f64 1 (/.f64 (+.f64 1/2 (sqrt.f64 (/.f64 1/4 (fma.f64 x x 1)))) (+.f64 1/4 (/.f64 1/4 (fma.f64 x x 1)))))
(/.f64 (+.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) (+.f64 1/2 (sqrt.f64 (/.f64 1/4 (fma.f64 x x 1)))))
(/.f64 (pow.f64 (-.f64 1/2 (sqrt.f64 (/.f64 1/4 (fma.f64 x x 1)))) 3) (+.f64 (pow.f64 (-.f64 1/2 (sqrt.f64 (/.f64 1/4 (fma.f64 x x 1)))) 2) (-.f64 0 (*.f64 (-.f64 1/2 (sqrt.f64 (/.f64 1/4 (fma.f64 x x 1)))) 0))))
(/.f64 (neg.f64 (+.f64 1/4 (/.f64 1/4 (fma.f64 x x 1)))) (neg.f64 (+.f64 1/2 (sqrt.f64 (/.f64 1/4 (fma.f64 x x 1))))))
(/.f64 (-.f64 1/8 (pow.f64 (/.f64 1/4 (fma.f64 x x 1)) 3/2)) (+.f64 1/4 (+.f64 (/.f64 1/4 (fma.f64 x x 1)) (*.f64 1/2 (sqrt.f64 (/.f64 1/4 (fma.f64 x x 1)))))))
(/.f64 (neg.f64 (-.f64 1/8 (pow.f64 (/.f64 1/4 (fma.f64 x x 1)) 3/2))) (neg.f64 (+.f64 1/4 (+.f64 (/.f64 1/4 (fma.f64 x x 1)) (*.f64 1/2 (sqrt.f64 (/.f64 1/4 (fma.f64 x x 1))))))))
(/.f64 (+.f64 1/8 (pow.f64 (neg.f64 (sqrt.f64 (/.f64 1/4 (fma.f64 x x 1)))) 3)) (+.f64 1/4 (-.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 1/4 (fma.f64 x x 1)))) (neg.f64 (sqrt.f64 (/.f64 1/4 (fma.f64 x x 1))))) (*.f64 1/2 (neg.f64 (sqrt.f64 (/.f64 1/4 (fma.f64 x x 1))))))))
(/.f64 (-.f64 1/4 (*.f64 (neg.f64 (sqrt.f64 (/.f64 1/4 (fma.f64 x x 1)))) (neg.f64 (sqrt.f64 (/.f64 1/4 (fma.f64 x x 1)))))) (-.f64 1/2 (neg.f64 (sqrt.f64 (/.f64 1/4 (fma.f64 x x 1))))))
(/.f64 (-.f64 (pow.f64 (-.f64 1/2 (sqrt.f64 (/.f64 1/4 (fma.f64 x x 1)))) 2) 0) (-.f64 (-.f64 1/2 (sqrt.f64 (/.f64 1/4 (fma.f64 x x 1)))) 0))
(pow.f64 (-.f64 1/2 (sqrt.f64 (/.f64 1/4 (fma.f64 x x 1)))) 1)
(pow.f64 (cbrt.f64 (-.f64 1/2 (sqrt.f64 (/.f64 1/4 (fma.f64 x x 1))))) 3)
(pow.f64 (pow.f64 (-.f64 1/2 (sqrt.f64 (/.f64 1/4 (fma.f64 x x 1)))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 1/2 (sqrt.f64 (/.f64 1/4 (fma.f64 x x 1))))) 2)
(sqrt.f64 (pow.f64 (-.f64 1/2 (sqrt.f64 (/.f64 1/4 (fma.f64 x x 1)))) 2))
(log.f64 (exp.f64 (-.f64 1/2 (sqrt.f64 (/.f64 1/4 (fma.f64 x x 1))))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1/2 (sqrt.f64 (/.f64 1/4 (fma.f64 x x 1)))))))
(cbrt.f64 (pow.f64 (-.f64 1/2 (sqrt.f64 (/.f64 1/4 (fma.f64 x x 1)))) 3))
(expm1.f64 (log1p.f64 (-.f64 1/2 (sqrt.f64 (/.f64 1/4 (fma.f64 x x 1))))))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1/4 (/.f64 1/4 (fma.f64 x x 1)))) 2) (sqrt.f64 (-.f64 -1/2 (/.f64 1/2 (hypot.f64 1 x))))) (/.f64 (cbrt.f64 (+.f64 1/4 (/.f64 1/4 (fma.f64 x x 1)))) (sqrt.f64 (-.f64 -1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1/4 (/.f64 1/4 (fma.f64 x x 1)))) 1) (/.f64 (sqrt.f64 (+.f64 1/4 (/.f64 1/4 (fma.f64 x x 1)))) (-.f64 -1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1/4 (/.f64 1/4 (fma.f64 x x 1)))) (pow.f64 (cbrt.f64 (-.f64 -1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2)) (/.f64 (sqrt.f64 (+.f64 1/4 (/.f64 1/4 (fma.f64 x x 1)))) (cbrt.f64 (-.f64 -1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(pow.f64 (/.f64 (+.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) (-.f64 -1/2 (/.f64 1/2 (hypot.f64 1 x)))) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) (-.f64 -1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) (-.f64 -1/2 (/.f64 1/2 (hypot.f64 1 x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) (-.f64 -1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2)
(pow.f64 (/.f64 (-.f64 -1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1/4 (/.f64 1/4 (fma.f64 x x 1)))) -1)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) (-.f64 -1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) (-.f64 -1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) (-.f64 -1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) (-.f64 -1/2 (/.f64 1/2 (hypot.f64 1 x)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) 3) (pow.f64 (-.f64 -1/2 (/.f64 1/2 (hypot.f64 1 x))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) (-.f64 -1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) (-.f64 -1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(exp.f64 (log.f64 (/.f64 (+.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) (-.f64 -1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) (-.f64 -1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1))
(fma.f64 1 (/.f64 (+.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) (-.f64 -1/2 (/.f64 1/2 (hypot.f64 1 x)))) 0)
(fma.f64 (+.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) (/.f64 1 (-.f64 -1/2 (/.f64 1/2 (hypot.f64 1 x)))) 0)
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) (-.f64 -1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2)) (cbrt.f64 (/.f64 (+.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) (-.f64 -1/2 (/.f64 1/2 (hypot.f64 1 x))))) 0)
(fma.f64 (sqrt.f64 (/.f64 (+.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) (-.f64 -1/2 (/.f64 1/2 (hypot.f64 1 x))))) (sqrt.f64 (/.f64 (+.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) (-.f64 -1/2 (/.f64 1/2 (hypot.f64 1 x))))) 0)
(+.f64 -1 (neg.f64 (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))))) 0)
(*.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(*.f64 (cbrt.f64 (pow.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 (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 1 (+.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 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 1 (/.f64 (+.f64 1 (+.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 (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 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 (pow.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3) (+.f64 (pow.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2) (-.f64 0 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 0))))
(/.f64 (-.f64 -1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) (+.f64 1 (+.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 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 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2))) (neg.f64 (+.f64 1 (+.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 (neg.f64 (-.f64 1 (+.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 (+.f64 -1 (pow.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3)) (+.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)))))) (*.f64 -1 (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)))))))
(/.f64 (-.f64 (pow.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2) 0) (-.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 0))
(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)
(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)))))))
(log1p.f64 (expm1.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(exp.f64 (log.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(exp.f64 (*.f64 (log.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 1))
(fma.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 0)
(fma.f64 (cbrt.f64 (pow.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)))))) 0)
(fma.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)))))) 0)

simplify215.0ms (1.9%)

Algorithm
egg-herbie
Rules
1362×fma-define
1113×add0
564×sub-neg
554×distribute-lft-in
426×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
098923053
1336722217
Stop Event
node limit
Counts
517 → 740
Calls
Call 1
Inputs
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 1/4 (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))))
1/4
(+.f64 1/4 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 1/4 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 1/4 (pow.f64 x 4))))
(+.f64 1/4 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -1/4 (pow.f64 x 6)) (*.f64 1/4 (pow.f64 x 4)))))
(/.f64 1/4 (pow.f64 x 2))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 8)))))
(/.f64 1/4 (pow.f64 x 2))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 8)))))
1
(-.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 1/32 (/.f64 1 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))))) (+.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 (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 1/32 (/.f64 1 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))))) (+.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)))))))
(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 1/128 (/.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)))))
(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 1/128 (/.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 1/8 (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 -11/128 (pow.f64 x 4)) (*.f64 1/8 (pow.f64 x 2))))
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(fma.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) (-.f64 -1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2)) (cbrt.f64 (/.f64 (+.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) (-.f64 -1/2 (/.f64 1/2 (hypot.f64 1 x))))) 0)
(fma.f64 (sqrt.f64 (/.f64 (+.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) (-.f64 -1/2 (/.f64 1/2 (hypot.f64 1 x))))) (sqrt.f64 (/.f64 (+.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) (-.f64 -1/2 (/.f64 1/2 (hypot.f64 1 x))))) 0)
(+.f64 -1 (neg.f64 (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))))) 0)
(*.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(*.f64 (cbrt.f64 (pow.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 (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 1 (+.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 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 1 (/.f64 (+.f64 1 (+.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 (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 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 (pow.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3) (+.f64 (pow.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2) (-.f64 0 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 0))))
(/.f64 (-.f64 -1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) (+.f64 1 (+.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 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 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2))) (neg.f64 (+.f64 1 (+.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 (neg.f64 (-.f64 1 (+.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 (+.f64 -1 (pow.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3)) (+.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)))))) (*.f64 -1 (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)))))))
(/.f64 (-.f64 (pow.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2) 0) (-.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 0))
(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)
(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)))))))
(log1p.f64 (expm1.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(exp.f64 (log.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(exp.f64 (*.f64 (log.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 1))
(fma.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 0)
(fma.f64 (cbrt.f64 (pow.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)))))) 0)
(fma.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)))))) 0)
Outputs
1/2
(+.f64 1/2 (*.f64 -1/4 (pow.f64 x 2)))
(fma.f64 -1/4 (pow.f64 x 2) 1/2)
(+.f64 1/2 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 3/16 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 -1/4 (pow.f64 x 2) (*.f64 3/16 (pow.f64 x 4))))
(+.f64 (fma.f64 -1/4 (pow.f64 x 2) 1/2) (*.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 (fma.f64 -1/4 (pow.f64 x 2) (fma.f64 -5/32 (pow.f64 x 6) (*.f64 3/16 (pow.f64 x 4)))))
(+.f64 (fma.f64 -1/4 (pow.f64 x 2) 1/2) (fma.f64 3/16 (pow.f64 x 4) (*.f64 -5/32 (pow.f64 x 6))))
(/.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 (*.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 (/.f64 1/2 x) (/.f64 3/16 (pow.f64 x 5))) (/.f64 5/32 (pow.f64 x 7))) (/.f64 -1/4 (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 (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 (/.f64 1/4 (pow.f64 x 3)) (/.f64 3/16 (pow.f64 x 5))) (/.f64 -1/2 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 (/.f64 5/32 (pow.f64 x 7)) (-.f64 (/.f64 1/4 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 3/16 (pow.f64 x 5)))))
(+.f64 (/.f64 5/32 (pow.f64 x 7)) (+.f64 (-.f64 (/.f64 1/4 (pow.f64 x 3)) (/.f64 3/16 (pow.f64 x 5))) (/.f64 -1/2 x)))
(*.f64 1/4 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) 1/4)
(+.f64 (*.f64 -3/16 (pow.f64 x 4)) (*.f64 1/4 (pow.f64 x 2)))
(fma.f64 -3/16 (pow.f64 x 4) (*.f64 (pow.f64 x 2) 1/4))
(fma.f64 (pow.f64 x 2) 1/4 (*.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))))
(fma.f64 -3/16 (pow.f64 x 4) (fma.f64 5/32 (pow.f64 x 6) (*.f64 (pow.f64 x 2) 1/4)))
(fma.f64 (pow.f64 x 4) -3/16 (fma.f64 (pow.f64 x 6) 5/32 (*.f64 (pow.f64 x 2) 1/4)))
(+.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)))))
(fma.f64 -3/16 (pow.f64 x 4) (fma.f64 -35/256 (pow.f64 x 8) (fma.f64 5/32 (pow.f64 x 6) (*.f64 (pow.f64 x 2) 1/4))))
(fma.f64 (pow.f64 x 4) -3/16 (fma.f64 -35/256 (pow.f64 x 8) (fma.f64 (pow.f64 x 6) 5/32 (*.f64 (pow.f64 x 2) 1/4))))
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 1/2 (+.f64 (/.f64 1/4 (pow.f64 x 3)) (/.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 1/2 (-.f64 (/.f64 1/4 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 3/16 (pow.f64 x 5)))))
(-.f64 (+.f64 1/2 (/.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 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 1/2 (+.f64 (+.f64 (/.f64 1/2 x) (/.f64 3/16 (pow.f64 x 5))) (/.f64 -1/4 (pow.f64 x 3))))
1/4
(+.f64 1/4 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 (*.f64 -1/4 (pow.f64 x 2)) 1/4)
(fma.f64 -1/4 (pow.f64 x 2) 1/4)
(+.f64 1/4 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 1/4 (pow.f64 x 4))))
(+.f64 1/4 (fma.f64 -1/4 (pow.f64 x 2) (*.f64 (pow.f64 x 4) 1/4)))
(+.f64 1/4 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -1/4 (pow.f64 x 6)) (*.f64 1/4 (pow.f64 x 4)))))
(+.f64 1/4 (fma.f64 -1/4 (pow.f64 x 2) (fma.f64 -1/4 (pow.f64 x 6) (*.f64 (pow.f64 x 4) 1/4))))
(+.f64 (fma.f64 -1/4 (pow.f64 x 2) 1/4) (fma.f64 -1/4 (pow.f64 x 6) (*.f64 (pow.f64 x 4) 1/4)))
(/.f64 1/4 (pow.f64 x 2))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 x 4))))
(-.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 1/4 (pow.f64 x 4)))
(+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 -1/4 (pow.f64 x 4)))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1/4 (pow.f64 x 6)) (-.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 1/4 (pow.f64 x 4))))
(+.f64 (/.f64 1/4 (pow.f64 x 6)) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 -1/4 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 8)))))
(+.f64 (/.f64 1/4 (pow.f64 x 6)) (-.f64 (/.f64 1/4 (pow.f64 x 2)) (+.f64 (/.f64 1/4 (pow.f64 x 4)) (/.f64 1/4 (pow.f64 x 8)))))
(-.f64 (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 1/4 (pow.f64 x 6))) (+.f64 (/.f64 1/4 (pow.f64 x 4)) (/.f64 1/4 (pow.f64 x 8))))
(/.f64 1/4 (pow.f64 x 2))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 x 4))))
(-.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 1/4 (pow.f64 x 4)))
(+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 -1/4 (pow.f64 x 4)))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1/4 (pow.f64 x 6)) (-.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 1/4 (pow.f64 x 4))))
(+.f64 (/.f64 1/4 (pow.f64 x 6)) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 -1/4 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 8)))))
(+.f64 (/.f64 1/4 (pow.f64 x 6)) (-.f64 (/.f64 1/4 (pow.f64 x 2)) (+.f64 (/.f64 1/4 (pow.f64 x 4)) (/.f64 1/4 (pow.f64 x 8)))))
(-.f64 (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 1/4 (pow.f64 x 6))) (+.f64 (/.f64 1/4 (pow.f64 x 4)) (/.f64 1/4 (pow.f64 x 8))))
1
(-.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 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 1 (-.f64 (/.f64 1/32 (*.f64 (pow.f64 x 2) (*.f64 1/2 (sqrt.f64 1/2)))) (+.f64 (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 (*.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 (+.f64 1 (/.f64 1/32 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3)))) (+.f64 (sqrt.f64 1/2) (+.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) (/.f64 1/128 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/2) 5))))))
(-.f64 (-.f64 (+.f64 1 (/.f64 1/32 (*.f64 (pow.f64 x 2) (*.f64 1/2 (sqrt.f64 1/2))))) (sqrt.f64 1/2)) (+.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) (/.f64 1/128 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/2) 5)))))
(-.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 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 1 (-.f64 (/.f64 1/32 (*.f64 (pow.f64 x 2) (*.f64 1/2 (sqrt.f64 1/2)))) (+.f64 (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 (*.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)))))))
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(pow.f64 (*.f64 (fma.f64 x x 1) 4) -1)
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(/.f64 1/4 (fma.f64 x x 1))
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(/.f64 1/4 (fma.f64 x x 1))
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(-.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 1 (+.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 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) (/.f64 1 (+.f64 1 (-.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 (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 (+.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))) (/.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))) (+.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 1 (/.f64 (+.f64 1 (+.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 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2))))
(*.f64 (-.f64 -1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) (/.f64 1 (+.f64 1 (-.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 (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 1 (/.f64 (+.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(*.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))) (+.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 (pow.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3) (+.f64 (pow.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2) (-.f64 0 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 0))))
(/.f64 (pow.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3) (pow.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2))
(/.f64 (-.f64 -1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) (+.f64 1 (+.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 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) (/.f64 1 (+.f64 1 (-.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 (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 (+.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 1/2 (/.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))) (+.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 1 (+.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 (neg.f64 (-.f64 -1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2))) (+.f64 -1 (neg.f64 (-.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 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) (neg.f64 (+.f64 -1 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 -1/2 (/.f64 -1/2 (hypot.f64 1 x)))))))
(/.f64 (neg.f64 (-.f64 1 (+.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 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(/.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 (+.f64 -1 (pow.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3)) (+.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)))))) (*.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))))
(/.f64 (+.f64 -1 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 3))) (+.f64 1 (*.f64 (neg.f64 (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 (-.f64 -1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 3)) (-.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 (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)))))))
(*.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))) (+.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2) 0) (-.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 0))
(/.f64 (pow.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2) (-.f64 -1 (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)
(-.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)))))) 3)
(-.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))))) 3) 1/3)
(-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(pow.f64 (sqrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2)
(-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(sqrt.f64 (pow.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2))
(fabs.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(log.f64 (exp.f64 (-.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)))))
(log.f64 (+.f64 1 (expm1.f64 (-.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)))))
(cbrt.f64 (pow.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3))
(-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(expm1.f64 (log1p.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(log1p.f64 (expm1.f64 (-.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)))))
(exp.f64 (log.f64 (-.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)))))
(exp.f64 (*.f64 (log.f64 (-.f64 -1 (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)))))
(fma.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 0)
(-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(fma.f64 (cbrt.f64 (pow.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)))))) 0)
(*.f64 (cbrt.f64 (pow.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)))))))
(fma.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)))))) 0)
(-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))

eval994.0ms (8.6%)

Compiler

Compiled 38559 to 33747 computations (12.5% saved)

prune455.0ms (3.9%)

Pruning

16 alts after pruning (5 fresh and 11 done)

PrunedKeptTotal
New139321395
Fresh033
Picked055
Done066
Total1393161409
Accuracy
100.0%
Counts
1409 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.5%
(fma.f64 (*.f64 x (sqrt.f64 1/8)) (*.f64 x (sqrt.f64 1/8)) (*.f64 (pow.f64 x 4) -11/128))
79.2%
(/.f64 (/.f64 (+.f64 1/4 (/.f64 -1/4 (fma.f64 x x 1))) (-.f64 -1/2 (/.f64 1/2 (hypot.f64 1 x)))) (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
79.2%
(/.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))))))
38.5%
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2)
79.2%
(/.f64 (-.f64 1/2 (sqrt.f64 (/.f64 1/4 (fma.f64 x x 1)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
53.4%
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
52.1%
(-.f64 1 (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
78.4%
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
52.1%
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
52.6%
(-.f64 1 (sqrt.f64 1/2))
28.1%
(-.f64 1 1)
78.3%
(+.f64 (-.f64 2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -1)
47.6%
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 1/8 (pow.f64 x 2)))
79.2%
(*.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)))))))
49.6%
(*.f64 1/8 (pow.f64 x 2))
11.1%
1
Compiler

Compiled 247 to 218 computations (11.7% saved)

localize527.0ms (4.5%)

Localize:

Found 9 expressions with local error:

NewAccuracyProgram
100.0%
(pow.f64 x 4)
99.9%
(*.f64 (pow.f64 x 4) -11/128)
99.8%
(fma.f64 (*.f64 x (sqrt.f64 1/8)) (*.f64 x (sqrt.f64 1/8)) (*.f64 (pow.f64 x 4) -11/128))
99.3%
(*.f64 x (sqrt.f64 1/8))
99.9%
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))
99.2%
(-.f64 1 (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
98.8%
(/.f64 (+.f64 1/2 (/.f64 1/2 x)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
100.0%
(/.f64 1/2 (hypot.f64 1 x))
79.2%
(-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))
Compiler

Compiled 120 to 100 computations (16.7% saved)

series11.0ms (0.1%)

Counts
5 → 41
Calls

15 calls:

TimeVariablePointExpression
1.0ms
x
@0
(*.f64 x (sqrt.f64 1/8))
1.0ms
x
@0
(fma.f64 (*.f64 x (sqrt.f64 1/8)) (*.f64 x (sqrt.f64 1/8)) (*.f64 (pow.f64 x 4) -11/128))
1.0ms
x
@inf
(fma.f64 (*.f64 x (sqrt.f64 1/8)) (*.f64 x (sqrt.f64 1/8)) (*.f64 (pow.f64 x 4) -11/128))
1.0ms
x
@inf
(*.f64 x (sqrt.f64 1/8))
1.0ms
x
@-inf
(*.f64 x (sqrt.f64 1/8))

rewrite143.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
1730×prod-diff
817×log1p-expm1-u
552×expm1-log1p-u
176×associate-*r*
116×add0
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022168
1288113
24016113
Stop Event
node limit
Counts
5 → 160
Calls
Call 1
Inputs
(/.f64 (+.f64 1/2 (/.f64 1/2 x)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(-.f64 1 (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(*.f64 x (sqrt.f64 1/8))
(fma.f64 (*.f64 x (sqrt.f64 1/8)) (*.f64 x (sqrt.f64 1/8)) (*.f64 (pow.f64 x 4) -11/128))
(*.f64 (pow.f64 x 4) -11/128)
Outputs
(+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 0)
(+.f64 0 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(-.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1) 1)
(*.f64 (+.f64 1/2 (/.f64 1/2 x)) (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2))
(*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1)
(*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)))
(*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(*.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(*.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 (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 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2) (*.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)))
(*.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 (neg.f64 (/.f64 1/2 x))) (/.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(*.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2) (+.f64 1/2 (/.f64 1/2 x)))
(*.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 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(*.f64 (/.f64 1 (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)) 1/4)))
(*.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))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2) (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (cbrt.f64 (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 (+.f64 1/2 (/.f64 1/2 x)) 1/4)) (/.f64 (cbrt.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)) 1/2)
(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)
(pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2) -1)
(neg.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))
(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)))))
(log1p.f64 (expm1.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))
(fma.f64 (+.f64 1/2 (/.f64 1/2 x)) (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2) 0)
(fma.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 0)
(fma.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 0)
(fma.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4) (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4) 0)
(+.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 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 0)
(+.f64 0 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 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 (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 (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 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)) (/.f64 1 (+.f64 1 (+.f64 (+.f64 1/2 (/.f64 1/2 x)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(*.f64 (-.f64 1 (+.f64 1/2 (/.f64 1/2 x))) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1)))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (+.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 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1) (-.f64 1 (+.f64 1/2 (/.f64 1/2 x)))))
(/.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3) (+.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2) (-.f64 0 (*.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 0))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)) (+.f64 1 (+.f64 (+.f64 1/2 (/.f64 1/2 x)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(/.f64 (-.f64 1 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))) (neg.f64 (+.f64 1 (+.f64 (+.f64 1/2 (/.f64 1/2 x)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(/.f64 (neg.f64 (-.f64 1 (+.f64 1/2 (/.f64 1/2 x)))) (neg.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1)))
(/.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))))))
(/.f64 (-.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2) 0) (-.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)
(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))))))
(log1p.f64 (expm1.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))
(fma.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 0)
(fma.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))))) 0)
(fma.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))))) 0)
(+.f64 (*.f64 x (sqrt.f64 1/8)) 0)
(+.f64 (*.f64 x (sqrt.f64 1/8)) (*.f64 (sqrt.f64 1/8) 0))
(+.f64 (*.f64 x (sqrt.f64 1/8)) (*.f64 x 0))
(+.f64 (*.f64 x (sqrt.f64 1/8)) (*.f64 0 (sqrt.f64 1/8)))
(+.f64 (*.f64 x (sqrt.f64 1/8)) (*.f64 0 x))
(+.f64 0 (*.f64 x (sqrt.f64 1/8)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (sqrt.f64 1/8)))) 1)
(/.f64 (pow.f64 (*.f64 x (sqrt.f64 1/8)) 3) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (-.f64 0 (*.f64 (*.f64 x (sqrt.f64 1/8)) 0))))
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 x 2)) 0) (-.f64 (*.f64 x (sqrt.f64 1/8)) 0))
(pow.f64 (*.f64 x (sqrt.f64 1/8)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 1/8))) 3)
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 1/8)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 1/8))) 2)
(sqrt.f64 (*.f64 1/8 (pow.f64 x 2)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 1/8)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (sqrt.f64 1/8)))))
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 1/8)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (*.f64 1/8 (sqrt.f64 1/8))))
(cbrt.f64 (*.f64 (*.f64 1/8 (sqrt.f64 1/8)) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (sqrt.f64 1/8))))
(log1p.f64 (expm1.f64 (*.f64 x (sqrt.f64 1/8))))
(exp.f64 (log.f64 (*.f64 x (sqrt.f64 1/8))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 1/8))) 1))
(fma.f64 x (sqrt.f64 1/8) 0)
(fma.f64 1 (*.f64 x (sqrt.f64 1/8)) 0)
(fma.f64 (sqrt.f64 1/8) x 0)
(fma.f64 (cbrt.f64 (*.f64 1/8 (pow.f64 x 2))) (cbrt.f64 (*.f64 x (sqrt.f64 1/8))) 0)
(fma.f64 (sqrt.f64 (*.f64 x (sqrt.f64 1/8))) (sqrt.f64 (*.f64 x (sqrt.f64 1/8))) 0)
(+.f64 (*.f64 (pow.f64 x 4) -11/128) (*.f64 1/8 (pow.f64 x 2)))
(+.f64 (+.f64 (*.f64 (pow.f64 x 4) -11/128) (*.f64 1/8 (pow.f64 x 2))) 0)
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 (pow.f64 x 4) -11/128))
(+.f64 0 (+.f64 (*.f64 (pow.f64 x 4) -11/128) (*.f64 1/8 (pow.f64 x 2))))
(+.f64 (*.f64 (*.f64 1/8 (pow.f64 x 2)) 1) (*.f64 (pow.f64 x 4) -11/128))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (*.f64 (pow.f64 x 4) -11/128) (*.f64 1/8 (pow.f64 x 2))))) 1)
(*.f64 1 (+.f64 (*.f64 (pow.f64 x 4) -11/128) (*.f64 1/8 (pow.f64 x 2))))
(*.f64 (+.f64 (*.f64 (pow.f64 x 4) -11/128) (*.f64 1/8 (pow.f64 x 2))) 1)
(*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) -11/128) (*.f64 1/8 (pow.f64 x 2)))) (pow.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) -11/128) (*.f64 1/8 (pow.f64 x 2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) -11/128) (*.f64 1/8 (pow.f64 x 2)))) 2) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) -11/128) (*.f64 1/8 (pow.f64 x 2)))))
(*.f64 (hypot.f64 (*.f64 x (sqrt.f64 1/8)) (*.f64 (pow.f64 x 2) (sqrt.f64 -11/128))) (hypot.f64 (*.f64 x (sqrt.f64 1/8)) (*.f64 (pow.f64 x 2) (sqrt.f64 -11/128))))
(/.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 x 4) -11/128) (*.f64 1/8 (pow.f64 x 2))) 3) (+.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 x 4) -11/128) (*.f64 1/8 (pow.f64 x 2))) 2) (-.f64 0 (*.f64 (+.f64 (*.f64 (pow.f64 x 4) -11/128) (*.f64 1/8 (pow.f64 x 2))) 0))))
(/.f64 (+.f64 (pow.f64 (*.f64 1/8 (pow.f64 x 2)) 3) (pow.f64 (*.f64 (pow.f64 x 4) -11/128) 3)) (+.f64 (*.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/8 (pow.f64 x 2))) (-.f64 (*.f64 (pow.f64 x 8) 121/16384) (*.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 (pow.f64 x 4) -11/128)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 x 4) -11/128) (*.f64 1/8 (pow.f64 x 2))) 2) 0) (-.f64 (+.f64 (*.f64 (pow.f64 x 4) -11/128) (*.f64 1/8 (pow.f64 x 2))) 0))
(/.f64 (-.f64 (*.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/8 (pow.f64 x 2))) (*.f64 (pow.f64 x 8) 121/16384)) (-.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 (pow.f64 x 4) -11/128)))
(pow.f64 (+.f64 (*.f64 (pow.f64 x 4) -11/128) (*.f64 1/8 (pow.f64 x 2))) 1)
(pow.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) -11/128) (*.f64 1/8 (pow.f64 x 2)))) 3)
(pow.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 x 4) -11/128) (*.f64 1/8 (pow.f64 x 2))) 3) 1/3)
(pow.f64 (hypot.f64 (*.f64 x (sqrt.f64 1/8)) (*.f64 (pow.f64 x 2) (sqrt.f64 -11/128))) 2)
(sqrt.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 x 4) -11/128) (*.f64 1/8 (pow.f64 x 2))) 2))
(log.f64 (exp.f64 (+.f64 (*.f64 (pow.f64 x 4) -11/128) (*.f64 1/8 (pow.f64 x 2)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 (pow.f64 x 4) -11/128) (*.f64 1/8 (pow.f64 x 2))))))
(cbrt.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 x 4) -11/128) (*.f64 1/8 (pow.f64 x 2))) 3))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 (pow.f64 x 4) -11/128) (*.f64 1/8 (pow.f64 x 2)))))
(log1p.f64 (expm1.f64 (+.f64 (*.f64 (pow.f64 x 4) -11/128) (*.f64 1/8 (pow.f64 x 2)))))
(exp.f64 (log.f64 (+.f64 (*.f64 (pow.f64 x 4) -11/128) (*.f64 1/8 (pow.f64 x 2)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 (pow.f64 x 4) -11/128) (*.f64 1/8 (pow.f64 x 2)))) 1))
(+.f64 (*.f64 (pow.f64 x 4) -11/128) 0)
(+.f64 0 (*.f64 (pow.f64 x 4) -11/128))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 4) -11/128))) 1)
(/.f64 (pow.f64 (*.f64 (pow.f64 x 4) -11/128) 3) (+.f64 (*.f64 (pow.f64 x 8) 121/16384) (-.f64 0 (*.f64 (*.f64 (pow.f64 x 4) -11/128) 0))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 8) 121/16384) 0) (-.f64 (*.f64 (pow.f64 x 4) -11/128) 0))
(pow.f64 (*.f64 (pow.f64 x 4) -11/128) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) -11/128)) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 4) -11/128) 3) 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 (pow.f64 x 4) -11/128))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 4) -11/128) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 4) -11/128)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 4) -11/128)))
(exp.f64 (log.f64 (*.f64 (pow.f64 x 4) -11/128)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 4) -11/128)) 1))
(fma.f64 1 (*.f64 (pow.f64 x 4) -11/128) 0)
(fma.f64 (pow.f64 x 4) -11/128 0)
(fma.f64 -11/128 (pow.f64 x 4) 0)
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 121/16384)) (cbrt.f64 (*.f64 (pow.f64 x 4) -11/128)) 0)
(fma.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 -11/128)) (*.f64 (pow.f64 x 2) (sqrt.f64 -11/128)) 0)

simplify123.0ms (1.1%)

Algorithm
egg-herbie
Rules
762×log-prod
658×div-sub
618×exp-prod
560×cube-prod
492×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03656623
111796106
252776096
Stop Event
node limit
Counts
201 → 236
Calls
Call 1
Inputs
(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 1/128 (/.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)))))
(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 1/128 (/.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)))))
1
(-.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 1/32 (/.f64 1 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))))) (+.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 (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 1/32 (/.f64 1 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))))) (+.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 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/8) 2))
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/8) 2)))
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/8) 2)))
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/8) 2)))
(*.f64 -11/128 (pow.f64 x 4))
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(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) -11/128)) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 4) -11/128) 3) 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 (pow.f64 x 4) -11/128))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 4) -11/128) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 4) -11/128)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 4) -11/128)))
(exp.f64 (log.f64 (*.f64 (pow.f64 x 4) -11/128)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 4) -11/128)) 1))
(fma.f64 1 (*.f64 (pow.f64 x 4) -11/128) 0)
(fma.f64 (pow.f64 x 4) -11/128 0)
(fma.f64 -11/128 (pow.f64 x 4) 0)
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 121/16384)) (cbrt.f64 (*.f64 (pow.f64 x 4) -11/128)) 0)
(fma.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 -11/128)) (*.f64 (pow.f64 x 2) (sqrt.f64 -11/128)) 0)
Outputs
(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 (sqrt.f64 1/2) x)))
(-.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 (sqrt.f64 1/2) x))) (/.f64 1/32 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))))
(+.f64 (sqrt.f64 1/2) (+.f64 (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)) (/.f64 -1/32 (*.f64 (sqrt.f64 1/2) (*.f64 1/2 (pow.f64 x 2))))))
(+.f64 (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)) (-.f64 (sqrt.f64 1/2) (/.f64 1/32 (*.f64 (sqrt.f64 1/2) (*.f64 1/2 (pow.f64 x 2))))))
(-.f64 (+.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 (sqrt.f64 1/2) (-.f64 (+.f64 (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)) (/.f64 1/128 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/2) 5)))) (/.f64 1/32 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3)))))
(+.f64 (sqrt.f64 1/2) (+.f64 (/.f64 (/.f64 1/128 (pow.f64 (sqrt.f64 1/2) 5)) (pow.f64 x 3)) (+.f64 (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)) (/.f64 -1/32 (*.f64 (sqrt.f64 1/2) (*.f64 1/2 (pow.f64 x 2)))))))
(+.f64 (+.f64 (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)) (+.f64 (sqrt.f64 1/2) (/.f64 (/.f64 1/128 (pow.f64 (sqrt.f64 1/2) 5)) (pow.f64 x 3)))) (/.f64 -1/32 (*.f64 (sqrt.f64 1/2) (*.f64 1/2 (pow.f64 x 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 (sqrt.f64 1/2) x)))
(-.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 (sqrt.f64 1/2) x))) (/.f64 1/32 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))))
(+.f64 (sqrt.f64 1/2) (+.f64 (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)) (/.f64 -1/32 (*.f64 (sqrt.f64 1/2) (*.f64 1/2 (pow.f64 x 2))))))
(+.f64 (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)) (-.f64 (sqrt.f64 1/2) (/.f64 1/32 (*.f64 (sqrt.f64 1/2) (*.f64 1/2 (pow.f64 x 2))))))
(-.f64 (+.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 (sqrt.f64 1/2) (-.f64 (+.f64 (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)) (/.f64 1/128 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/2) 5)))) (/.f64 1/32 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3)))))
(+.f64 (sqrt.f64 1/2) (+.f64 (/.f64 (/.f64 1/128 (pow.f64 (sqrt.f64 1/2) 5)) (pow.f64 x 3)) (+.f64 (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)) (/.f64 -1/32 (*.f64 (sqrt.f64 1/2) (*.f64 1/2 (pow.f64 x 2)))))))
(+.f64 (+.f64 (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)) (+.f64 (sqrt.f64 1/2) (/.f64 (/.f64 1/128 (pow.f64 (sqrt.f64 1/2) 5)) (pow.f64 x 3)))) (/.f64 -1/32 (*.f64 (sqrt.f64 1/2) (*.f64 1/2 (pow.f64 x 2)))))
1
(-.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 (sqrt.f64 1/2) x)))
(-.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 (sqrt.f64 1/2) x)))))
(+.f64 1 (-.f64 (/.f64 1/32 (*.f64 (sqrt.f64 1/2) (*.f64 1/2 (pow.f64 x 2)))) (+.f64 (sqrt.f64 1/2) (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)))))
(-.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 (*.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 (-.f64 (/.f64 1/32 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))) (+.f64 (+.f64 (sqrt.f64 1/2) (/.f64 1/128 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/2) 5)))) (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)))))
(+.f64 1 (-.f64 (/.f64 1/32 (*.f64 (sqrt.f64 1/2) (*.f64 1/2 (pow.f64 x 2)))) (+.f64 (sqrt.f64 1/2) (+.f64 (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)) (/.f64 (/.f64 1/128 (pow.f64 (sqrt.f64 1/2) 5)) (pow.f64 x 3))))))
(+.f64 1 (-.f64 (/.f64 1/32 (*.f64 (sqrt.f64 1/2) (*.f64 1/2 (pow.f64 x 2)))) (+.f64 (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)) (+.f64 (sqrt.f64 1/2) (/.f64 (/.f64 1/128 (pow.f64 (sqrt.f64 1/2) 5)) (pow.f64 x 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 (sqrt.f64 1/2)) (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)))
(-.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 (sqrt.f64 1/2) x)))))
(+.f64 1 (-.f64 (/.f64 1/32 (*.f64 (sqrt.f64 1/2) (*.f64 1/2 (pow.f64 x 2)))) (+.f64 (sqrt.f64 1/2) (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)))))
(-.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 (*.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 (-.f64 (/.f64 1/32 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))) (+.f64 (+.f64 (sqrt.f64 1/2) (/.f64 1/128 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/2) 5)))) (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)))))
(+.f64 1 (-.f64 (/.f64 1/32 (*.f64 (sqrt.f64 1/2) (*.f64 1/2 (pow.f64 x 2)))) (+.f64 (sqrt.f64 1/2) (+.f64 (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)) (/.f64 (/.f64 1/128 (pow.f64 (sqrt.f64 1/2) 5)) (pow.f64 x 3))))))
(+.f64 1 (-.f64 (/.f64 1/32 (*.f64 (sqrt.f64 1/2) (*.f64 1/2 (pow.f64 x 2)))) (+.f64 (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)) (+.f64 (sqrt.f64 1/2) (/.f64 (/.f64 1/128 (pow.f64 (sqrt.f64 1/2) 5)) (pow.f64 x 3))))))
(*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/8) 2))
(*.f64 (pow.f64 x 2) 1/8)
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/8) 2)))
(fma.f64 -11/128 (pow.f64 x 4) (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/8) 2)))
(fma.f64 (pow.f64 x 2) 1/8 (*.f64 -11/128 (pow.f64 x 4)))
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/8) 2)))
(fma.f64 -11/128 (pow.f64 x 4) (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/8) 2)))
(fma.f64 (pow.f64 x 2) 1/8 (*.f64 -11/128 (pow.f64 x 4)))
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/8) 2)))
(fma.f64 -11/128 (pow.f64 x 4) (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/8) 2)))
(fma.f64 (pow.f64 x 2) 1/8 (*.f64 -11/128 (pow.f64 x 4)))
(*.f64 -11/128 (pow.f64 x 4))
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/8) 2)))
(fma.f64 -11/128 (pow.f64 x 4) (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/8) 2)))
(fma.f64 (pow.f64 x 2) 1/8 (*.f64 -11/128 (pow.f64 x 4)))
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/8) 2)))
(fma.f64 -11/128 (pow.f64 x 4) (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/8) 2)))
(fma.f64 (pow.f64 x 2) 1/8 (*.f64 -11/128 (pow.f64 x 4)))
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/8) 2)))
(fma.f64 -11/128 (pow.f64 x 4) (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/8) 2)))
(fma.f64 (pow.f64 x 2) 1/8 (*.f64 -11/128 (pow.f64 x 4)))
(*.f64 -11/128 (pow.f64 x 4))
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/8) 2)))
(fma.f64 -11/128 (pow.f64 x 4) (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/8) 2)))
(fma.f64 (pow.f64 x 2) 1/8 (*.f64 -11/128 (pow.f64 x 4)))
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/8) 2)))
(fma.f64 -11/128 (pow.f64 x 4) (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/8) 2)))
(fma.f64 (pow.f64 x 2) 1/8 (*.f64 -11/128 (pow.f64 x 4)))
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/8) 2)))
(fma.f64 -11/128 (pow.f64 x 4) (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/8) 2)))
(fma.f64 (pow.f64 x 2) 1/8 (*.f64 -11/128 (pow.f64 x 4)))
(*.f64 -11/128 (pow.f64 x 4))
(*.f64 -11/128 (pow.f64 x 4))
(*.f64 -11/128 (pow.f64 x 4))
(*.f64 -11/128 (pow.f64 x 4))
(*.f64 -11/128 (pow.f64 x 4))
(*.f64 -11/128 (pow.f64 x 4))
(*.f64 -11/128 (pow.f64 x 4))
(*.f64 -11/128 (pow.f64 x 4))
(*.f64 -11/128 (pow.f64 x 4))
(*.f64 -11/128 (pow.f64 x 4))
(*.f64 -11/128 (pow.f64 x 4))
(*.f64 -11/128 (pow.f64 x 4))
(+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 0)
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))
(+.f64 0 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))
(-.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1) 1)
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))
(*.f64 (+.f64 1/2 (/.f64 1/2 x)) (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2))
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))
(*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 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))) (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)))
(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))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))
(*.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))
(*.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 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (cbrt.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))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(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))) (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)))
(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))
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))
(*.f64 (+.f64 -1/2 (neg.f64 (/.f64 1/2 x))) (/.f64 1 (neg.f64 (sqrt.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)) -1/2) (+.f64 1/2 (/.f64 1/2 x)))
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(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 (fabs.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (sqrt.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(*.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (sqrt.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(*.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 (fabs.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (sqrt.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(*.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (sqrt.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (/.f64 (sqrt.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)) (cbrt.f64 (sqrt.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)) (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (/.f64 (sqrt.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)) (cbrt.f64 (sqrt.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)) (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(*.f64 (/.f64 1 (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)) 1/4)))
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))
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(fma.f64 (pow.f64 x 2) 1/8 (*.f64 -11/128 (pow.f64 x 4)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 (pow.f64 x 4) -11/128))
(fma.f64 -11/128 (pow.f64 x 4) (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/8) 2)))
(fma.f64 (pow.f64 x 2) 1/8 (*.f64 -11/128 (pow.f64 x 4)))
(+.f64 0 (+.f64 (*.f64 (pow.f64 x 4) -11/128) (*.f64 1/8 (pow.f64 x 2))))
(fma.f64 -11/128 (pow.f64 x 4) (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/8) 2)))
(fma.f64 (pow.f64 x 2) 1/8 (*.f64 -11/128 (pow.f64 x 4)))
(+.f64 (*.f64 (*.f64 1/8 (pow.f64 x 2)) 1) (*.f64 (pow.f64 x 4) -11/128))
(fma.f64 -11/128 (pow.f64 x 4) (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/8) 2)))
(fma.f64 (pow.f64 x 2) 1/8 (*.f64 -11/128 (pow.f64 x 4)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (*.f64 (pow.f64 x 4) -11/128) (*.f64 1/8 (pow.f64 x 2))))) 1)
(expm1.f64 (log1p.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 -11/128 (pow.f64 x 4)))))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 x 2) 1/8 (*.f64 -11/128 (pow.f64 x 4)))))
(*.f64 1 (+.f64 (*.f64 (pow.f64 x 4) -11/128) (*.f64 1/8 (pow.f64 x 2))))
(fma.f64 -11/128 (pow.f64 x 4) (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/8) 2)))
(fma.f64 (pow.f64 x 2) 1/8 (*.f64 -11/128 (pow.f64 x 4)))
(*.f64 (+.f64 (*.f64 (pow.f64 x 4) -11/128) (*.f64 1/8 (pow.f64 x 2))) 1)
(fma.f64 -11/128 (pow.f64 x 4) (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/8) 2)))
(fma.f64 (pow.f64 x 2) 1/8 (*.f64 -11/128 (pow.f64 x 4)))
(*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) -11/128) (*.f64 1/8 (pow.f64 x 2)))) (pow.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) -11/128) (*.f64 1/8 (pow.f64 x 2)))) 2))
(fma.f64 -11/128 (pow.f64 x 4) (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/8) 2)))
(fma.f64 (pow.f64 x 2) 1/8 (*.f64 -11/128 (pow.f64 x 4)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) -11/128) (*.f64 1/8 (pow.f64 x 2)))) 2) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) -11/128) (*.f64 1/8 (pow.f64 x 2)))))
(fma.f64 -11/128 (pow.f64 x 4) (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/8) 2)))
(fma.f64 (pow.f64 x 2) 1/8 (*.f64 -11/128 (pow.f64 x 4)))
(*.f64 (hypot.f64 (*.f64 x (sqrt.f64 1/8)) (*.f64 (pow.f64 x 2) (sqrt.f64 -11/128))) (hypot.f64 (*.f64 x (sqrt.f64 1/8)) (*.f64 (pow.f64 x 2) (sqrt.f64 -11/128))))
(fma.f64 -11/128 (pow.f64 x 4) (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/8) 2)))
(fma.f64 (pow.f64 x 2) 1/8 (*.f64 -11/128 (pow.f64 x 4)))
(/.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 x 4) -11/128) (*.f64 1/8 (pow.f64 x 2))) 3) (+.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 x 4) -11/128) (*.f64 1/8 (pow.f64 x 2))) 2) (-.f64 0 (*.f64 (+.f64 (*.f64 (pow.f64 x 4) -11/128) (*.f64 1/8 (pow.f64 x 2))) 0))))
(/.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 -11/128 (pow.f64 x 4))) 3) (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 -11/128 (pow.f64 x 4))) 2))
(/.f64 (pow.f64 (fma.f64 (pow.f64 x 2) 1/8 (*.f64 -11/128 (pow.f64 x 4))) 3) (pow.f64 (fma.f64 (pow.f64 x 2) 1/8 (*.f64 -11/128 (pow.f64 x 4))) 2))
(/.f64 (+.f64 (pow.f64 (*.f64 1/8 (pow.f64 x 2)) 3) (pow.f64 (*.f64 (pow.f64 x 4) -11/128) 3)) (+.f64 (*.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/8 (pow.f64 x 2))) (-.f64 (*.f64 (pow.f64 x 8) 121/16384) (*.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 (pow.f64 x 4) -11/128)))))
(/.f64 (+.f64 (*.f64 1/512 (pow.f64 (pow.f64 x 2) 3)) (*.f64 (pow.f64 (pow.f64 x 4) 3) -1331/2097152)) (-.f64 (+.f64 (*.f64 1/64 (pow.f64 x 4)) (*.f64 (pow.f64 x 8) 121/16384)) (*.f64 1/8 (*.f64 (pow.f64 x 2) (*.f64 -11/128 (pow.f64 x 4))))))
(/.f64 (fma.f64 1/512 (pow.f64 (pow.f64 x 2) 3) (*.f64 (pow.f64 (pow.f64 x 4) 3) -1331/2097152)) (fma.f64 1/64 (pow.f64 x 4) (fma.f64 (pow.f64 x 8) 121/16384 (*.f64 (*.f64 1/8 (pow.f64 (pow.f64 x 2) 3)) 11/128))))
(/.f64 (fma.f64 1/512 (pow.f64 (pow.f64 x 2) 3) (*.f64 (pow.f64 (pow.f64 x 4) 3) -1331/2097152)) (fma.f64 1/64 (pow.f64 x 4) (fma.f64 (pow.f64 x 8) 121/16384 (*.f64 -1/8 (*.f64 (pow.f64 (pow.f64 x 2) 3) -11/128)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 x 4) -11/128) (*.f64 1/8 (pow.f64 x 2))) 2) 0) (-.f64 (+.f64 (*.f64 (pow.f64 x 4) -11/128) (*.f64 1/8 (pow.f64 x 2))) 0))
(/.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 -11/128 (pow.f64 x 4))) 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 -11/128 (pow.f64 x 4))))
(/.f64 (pow.f64 (fma.f64 (pow.f64 x 2) 1/8 (*.f64 -11/128 (pow.f64 x 4))) 2) (fma.f64 (pow.f64 x 2) 1/8 (*.f64 -11/128 (pow.f64 x 4))))
(/.f64 (-.f64 (*.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/8 (pow.f64 x 2))) (*.f64 (pow.f64 x 8) 121/16384)) (-.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 (pow.f64 x 4) -11/128)))
(/.f64 (-.f64 (*.f64 1/64 (pow.f64 x 4)) (*.f64 (pow.f64 x 8) 121/16384)) (-.f64 (*.f64 (pow.f64 x 2) 1/8) (*.f64 -11/128 (pow.f64 x 4))))
(/.f64 (fma.f64 1/64 (pow.f64 x 4) (*.f64 (pow.f64 x 8) -121/16384)) (fma.f64 (pow.f64 x 2) 1/8 (*.f64 (pow.f64 x 4) 11/128)))
(pow.f64 (+.f64 (*.f64 (pow.f64 x 4) -11/128) (*.f64 1/8 (pow.f64 x 2))) 1)
(fma.f64 -11/128 (pow.f64 x 4) (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/8) 2)))
(fma.f64 (pow.f64 x 2) 1/8 (*.f64 -11/128 (pow.f64 x 4)))
(pow.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) -11/128) (*.f64 1/8 (pow.f64 x 2)))) 3)
(fma.f64 -11/128 (pow.f64 x 4) (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/8) 2)))
(fma.f64 (pow.f64 x 2) 1/8 (*.f64 -11/128 (pow.f64 x 4)))
(pow.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 x 4) -11/128) (*.f64 1/8 (pow.f64 x 2))) 3) 1/3)
(fma.f64 -11/128 (pow.f64 x 4) (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/8) 2)))
(fma.f64 (pow.f64 x 2) 1/8 (*.f64 -11/128 (pow.f64 x 4)))
(pow.f64 (hypot.f64 (*.f64 x (sqrt.f64 1/8)) (*.f64 (pow.f64 x 2) (sqrt.f64 -11/128))) 2)
(fma.f64 -11/128 (pow.f64 x 4) (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/8) 2)))
(fma.f64 (pow.f64 x 2) 1/8 (*.f64 -11/128 (pow.f64 x 4)))
(sqrt.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 x 4) -11/128) (*.f64 1/8 (pow.f64 x 2))) 2))
(fma.f64 -11/128 (pow.f64 x 4) (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/8) 2)))
(fma.f64 (pow.f64 x 2) 1/8 (*.f64 -11/128 (pow.f64 x 4)))
(log.f64 (exp.f64 (+.f64 (*.f64 (pow.f64 x 4) -11/128) (*.f64 1/8 (pow.f64 x 2)))))
(fma.f64 -11/128 (pow.f64 x 4) (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/8) 2)))
(fma.f64 (pow.f64 x 2) 1/8 (*.f64 -11/128 (pow.f64 x 4)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 (pow.f64 x 4) -11/128) (*.f64 1/8 (pow.f64 x 2))))))
(fma.f64 -11/128 (pow.f64 x 4) (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/8) 2)))
(fma.f64 (pow.f64 x 2) 1/8 (*.f64 -11/128 (pow.f64 x 4)))
(cbrt.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 x 4) -11/128) (*.f64 1/8 (pow.f64 x 2))) 3))
(fma.f64 -11/128 (pow.f64 x 4) (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/8) 2)))
(fma.f64 (pow.f64 x 2) 1/8 (*.f64 -11/128 (pow.f64 x 4)))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 (pow.f64 x 4) -11/128) (*.f64 1/8 (pow.f64 x 2)))))
(expm1.f64 (log1p.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 -11/128 (pow.f64 x 4)))))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 x 2) 1/8 (*.f64 -11/128 (pow.f64 x 4)))))
(log1p.f64 (expm1.f64 (+.f64 (*.f64 (pow.f64 x 4) -11/128) (*.f64 1/8 (pow.f64 x 2)))))
(fma.f64 -11/128 (pow.f64 x 4) (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/8) 2)))
(fma.f64 (pow.f64 x 2) 1/8 (*.f64 -11/128 (pow.f64 x 4)))
(exp.f64 (log.f64 (+.f64 (*.f64 (pow.f64 x 4) -11/128) (*.f64 1/8 (pow.f64 x 2)))))
(fma.f64 -11/128 (pow.f64 x 4) (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/8) 2)))
(fma.f64 (pow.f64 x 2) 1/8 (*.f64 -11/128 (pow.f64 x 4)))
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 (pow.f64 x 4) -11/128) (*.f64 1/8 (pow.f64 x 2)))) 1))
(fma.f64 -11/128 (pow.f64 x 4) (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/8) 2)))
(fma.f64 (pow.f64 x 2) 1/8 (*.f64 -11/128 (pow.f64 x 4)))
(+.f64 (*.f64 (pow.f64 x 4) -11/128) 0)
(*.f64 -11/128 (pow.f64 x 4))
(+.f64 0 (*.f64 (pow.f64 x 4) -11/128))
(*.f64 -11/128 (pow.f64 x 4))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 4) -11/128))) 1)
(expm1.f64 (log1p.f64 (*.f64 -11/128 (pow.f64 x 4))))
(/.f64 (pow.f64 (*.f64 (pow.f64 x 4) -11/128) 3) (+.f64 (*.f64 (pow.f64 x 8) 121/16384) (-.f64 0 (*.f64 (*.f64 (pow.f64 x 4) -11/128) 0))))
(/.f64 (*.f64 (pow.f64 (pow.f64 x 4) 3) -1331/2097152) (*.f64 (pow.f64 x 8) 121/16384))
(*.f64 (/.f64 (pow.f64 (pow.f64 x 4) 3) (pow.f64 x 8)) -11/128)
(/.f64 (-.f64 (*.f64 (pow.f64 x 8) 121/16384) 0) (-.f64 (*.f64 (pow.f64 x 4) -11/128) 0))
(/.f64 (*.f64 (pow.f64 x 8) 121/16384) (*.f64 -11/128 (pow.f64 x 4)))
(*.f64 -11/128 (/.f64 (pow.f64 x 8) (pow.f64 x 4)))
(pow.f64 (*.f64 (pow.f64 x 4) -11/128) 1)
(*.f64 -11/128 (pow.f64 x 4))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) -11/128)) 3)
(*.f64 -11/128 (pow.f64 x 4))
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 4) -11/128) 3) 1/3)
(*.f64 -11/128 (pow.f64 x 4))
(pow.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 -11/128)) 2)
(*.f64 -11/128 (pow.f64 x 4))
(sqrt.f64 (*.f64 (pow.f64 x 8) 121/16384))
(log.f64 (pow.f64 (exp.f64 -11/128) (pow.f64 x 4)))
(*.f64 -11/128 (pow.f64 x 4))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 4) -11/128))))
(*.f64 -11/128 (pow.f64 x 4))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 4) -11/128) 3))
(*.f64 -11/128 (pow.f64 x 4))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 4) -11/128)))
(expm1.f64 (log1p.f64 (*.f64 -11/128 (pow.f64 x 4))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 4) -11/128)))
(*.f64 -11/128 (pow.f64 x 4))
(exp.f64 (log.f64 (*.f64 (pow.f64 x 4) -11/128)))
(*.f64 -11/128 (pow.f64 x 4))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 4) -11/128)) 1))
(*.f64 -11/128 (pow.f64 x 4))
(fma.f64 1 (*.f64 (pow.f64 x 4) -11/128) 0)
(*.f64 -11/128 (pow.f64 x 4))
(fma.f64 (pow.f64 x 4) -11/128 0)
(*.f64 -11/128 (pow.f64 x 4))
(fma.f64 -11/128 (pow.f64 x 4) 0)
(*.f64 -11/128 (pow.f64 x 4))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 121/16384)) (cbrt.f64 (*.f64 (pow.f64 x 4) -11/128)) 0)
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 121/16384)) (cbrt.f64 (*.f64 -11/128 (pow.f64 x 4))) 0)
(*.f64 (cbrt.f64 (*.f64 -11/128 (pow.f64 x 4))) (cbrt.f64 (*.f64 (pow.f64 x 8) 121/16384)))
(fma.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 -11/128)) (*.f64 (pow.f64 x 2) (sqrt.f64 -11/128)) 0)
(*.f64 -11/128 (pow.f64 x 4))

eval481.0ms (4.2%)

Compiler

Compiled 9483 to 8184 computations (13.7% saved)

prune121.0ms (1%)

Pruning

19 alts after pruning (4 fresh and 15 done)

PrunedKeptTotal
New5154519
Fresh000
Picked145
Done01111
Total51619535
Accuracy
100.0%
Counts
535 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.5%
(fma.f64 (*.f64 x (sqrt.f64 1/8)) (*.f64 x (sqrt.f64 1/8)) (*.f64 (pow.f64 x 4) -11/128))
79.2%
(/.f64 (/.f64 (+.f64 1/4 (/.f64 -1/4 (fma.f64 x x 1))) (-.f64 -1/2 (/.f64 1/2 (hypot.f64 1 x)))) (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
79.2%
(/.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))))))
38.5%
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2)
13.4%
(/.f64 (-.f64 1/2 (/.f64 -1/2 x)) 2)
79.2%
(/.f64 (-.f64 1/2 (sqrt.f64 (/.f64 1/4 (fma.f64 x x 1)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
38.5%
(/.f64 (+.f64 (+.f64 3/2 (/.f64 -1/2 (hypot.f64 1 x))) -1) 2)
53.4%
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
13.9%
(/.f64 1/2 2)
52.1%
(-.f64 1 (/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)))
78.4%
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
52.1%
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
52.6%
(-.f64 1 (sqrt.f64 1/2))
28.1%
(-.f64 1 1)
78.3%
(+.f64 (-.f64 2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -1)
47.6%
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 1/8 (pow.f64 x 2)))
79.2%
(*.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)))))))
49.6%
(*.f64 1/8 (pow.f64 x 2))
11.1%
1
Compiler

Compiled 446 to 395 computations (11.4% saved)

regimes71.0ms (0.6%)

Counts
21 → 2
Calls
Call 1
Inputs
1
(-.f64 1 1)
(/.f64 1/2 2)
(/.f64 (-.f64 1/2 (/.f64 -1/2 x)) 2)
(-.f64 1 (sqrt.f64 1/2))
(*.f64 1/8 (pow.f64 x 2))
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2)
(-.f64 1 (/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)))
(/.f64 (+.f64 (+.f64 3/2 (/.f64 -1/2 (hypot.f64 1 x))) -1) 2)
(-.f64 1 (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 1/8 (pow.f64 x 2)))
(+.f64 (-.f64 2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -1)
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (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 (-.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)))))))
(fma.f64 (*.f64 x (sqrt.f64 1/8)) (*.f64 x (sqrt.f64 1/8)) (*.f64 (pow.f64 x 4) -11/128))
(/.f64 (-.f64 1/2 (sqrt.f64 (/.f64 1/4 (fma.f64 x x 1)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 (/.f64 (+.f64 1/4 (/.f64 -1/4 (fma.f64 x x 1))) (-.f64 -1/2 (/.f64 1/2 (hypot.f64 1 x)))) (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
Outputs
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 1/8 (pow.f64 x 2)))
(*.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)))))))
Calls

7 calls:

22.0ms
x
19.0ms
(/.f64 1 (hypot.f64 1 x))
9.0ms
(hypot.f64 1 x)
5.0ms
(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
4.0ms
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
Results
AccuracySegmentsBranch
100.0%2x
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)

regimes65.0ms (0.6%)

Counts
17 → 2
Calls
Call 1
Inputs
1
(-.f64 1 1)
(/.f64 1/2 2)
(/.f64 (-.f64 1/2 (/.f64 -1/2 x)) 2)
(-.f64 1 (sqrt.f64 1/2))
(*.f64 1/8 (pow.f64 x 2))
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2)
(-.f64 1 (/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)))
(/.f64 (+.f64 (+.f64 3/2 (/.f64 -1/2 (hypot.f64 1 x))) -1) 2)
(-.f64 1 (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 1/8 (pow.f64 x 2)))
(+.f64 (-.f64 2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -1)
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (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))))))
Outputs
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 1/8 (pow.f64 x 2)))
(/.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:

24.0ms
x
15.0ms
(/.f64 1 (hypot.f64 1 x))
8.0ms
(hypot.f64 1 x)
5.0ms
(sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))
4.0ms
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
Results
AccuracySegmentsBranch
100.0%2x
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)

regimes78.0ms (0.7%)

Counts
16 → 2
Calls
Call 1
Inputs
1
(-.f64 1 1)
(/.f64 1/2 2)
(/.f64 (-.f64 1/2 (/.f64 -1/2 x)) 2)
(-.f64 1 (sqrt.f64 1/2))
(*.f64 1/8 (pow.f64 x 2))
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2)
(-.f64 1 (/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)))
(/.f64 (+.f64 (+.f64 3/2 (/.f64 -1/2 (hypot.f64 1 x))) -1) 2)
(-.f64 1 (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 1/8 (pow.f64 x 2)))
(+.f64 (-.f64 2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -1)
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
Outputs
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 1/8 (pow.f64 x 2)))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
Calls

7 calls:

24.0ms
(sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))
17.0ms
x
16.0ms
(/.f64 1 (hypot.f64 1 x))
7.0ms
(hypot.f64 1 x)
4.0ms
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
Results
AccuracySegmentsBranch
99.2%2x
99.2%2(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
99.2%2(sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))
99.2%2(*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))
99.2%2(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
99.2%2(/.f64 1 (hypot.f64 1 x))
99.2%2(hypot.f64 1 x)
Compiler

Compiled 54 to 47 computations (13% saved)

regimes131.0ms (1.1%)

Counts
13 → 2
Calls
Call 1
Inputs
1
(-.f64 1 1)
(/.f64 1/2 2)
(/.f64 (-.f64 1/2 (/.f64 -1/2 x)) 2)
(-.f64 1 (sqrt.f64 1/2))
(*.f64 1/8 (pow.f64 x 2))
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2)
(-.f64 1 (/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)))
(/.f64 (+.f64 (+.f64 3/2 (/.f64 -1/2 (hypot.f64 1 x))) -1) 2)
(-.f64 1 (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
Outputs
(*.f64 1/8 (pow.f64 x 2))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
Calls

2 calls:

116.0ms
(hypot.f64 1 x)
15.0ms
x
Results
AccuracySegmentsBranch
99.2%2x
99.2%2(hypot.f64 1 x)
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes56.0ms (0.5%)

Counts
12 → 2
Calls
Call 1
Inputs
1
(-.f64 1 1)
(/.f64 1/2 2)
(/.f64 (-.f64 1/2 (/.f64 -1/2 x)) 2)
(-.f64 1 (sqrt.f64 1/2))
(*.f64 1/8 (pow.f64 x 2))
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2)
(-.f64 1 (/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)))
(/.f64 (+.f64 (+.f64 3/2 (/.f64 -1/2 (hypot.f64 1 x))) -1) 2)
(-.f64 1 (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
Outputs
(*.f64 1/8 (pow.f64 x 2))
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
Calls

2 calls:

46.0ms
x
9.0ms
(hypot.f64 1 x)
Results
AccuracySegmentsBranch
98.7%2x
98.7%2(hypot.f64 1 x)
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes10.0ms (0.1%)

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

1 calls:

9.0ms
x
Results
AccuracySegmentsBranch
97.9%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes9.0ms (0.1%)

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

1 calls:

9.0ms
x
Results
AccuracySegmentsBranch
77.4%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes10.0ms (0.1%)

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

1 calls:

10.0ms
x
Results
AccuracySegmentsBranch
38.7%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0.1%)

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

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
35.9%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
11.1%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0000000000000004
1.2440805394513073
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0000000000000004
1.2440805394513073
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0000000000000004
1.2440805394513073
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0000000000000004
1.2440805394513073
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.2440805394513073
179.1048242360203
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch67.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
67.0ms
0.7400921487500428
179.1020325529996
Results
13.0ms96×256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
50.0ms256valid
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 108 to 99 computations (8.3% saved)

bsearch40.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
40.0ms
1.9235643720968517e-78
4.0003489169133985e-76
Results
33.0ms96×1024valid
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 94 to 92 computations (2.1% saved)

bsearch40.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
39.0ms
1.9235643720968517e-78
4.0003489169133985e-76
Results
33.0ms96×1024valid
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 87 to 85 computations (2.3% saved)

bsearch168.0ms (1.4%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
167.0ms
1.9235643720968517e-78
4.0003489169133985e-76
Results
32.0ms96×1024valid
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 73 to 71 computations (2.7% saved)

simplify18.0ms (0.2%)

Algorithm
egg-herbie
Rules
54×+-commutative
26×add0
18×sub-neg
18×*-commutative
16×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058530
195530
2136530
3159530
4171530
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 (hypot.f64 1 x) 5404319552844595/4503599627370496) (+.f64 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 1/8 (pow.f64 x 2))) (*.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))))))))
(if (<=.f64 (hypot.f64 1 x) 5404319552844595/4503599627370496) (+.f64 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 1/8 (pow.f64 x 2))) (/.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) 5404319552844595/4503599627370496) (+.f64 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 1/8 (pow.f64 x 2))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(if (<=.f64 (hypot.f64 1 x) 5404319552844595/4503599627370496) (*.f64 1/8 (pow.f64 x 2)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 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 1/8 (pow.f64 x 2)) (-.f64 1 (sqrt.f64 1/2)))
(if (<=.f64 x 5736293309357913/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128) (-.f64 1 1) (-.f64 1 (sqrt.f64 1/2)))
(if (<=.f64 x 5475552704387099/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128) (-.f64 1 1) (/.f64 1/2 2))
(if (<=.f64 x 1890369386038403/65185151242703554760590262029100101153646988597309960020356494379340201592426774597868716032) (-.f64 1 1) 1)
1
Outputs
(if (<=.f64 (hypot.f64 1 x) 5404319552844595/4503599627370496) (+.f64 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 1/8 (pow.f64 x 2))) (*.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))))))))
(if (<=.f64 (hypot.f64 1 x) 5404319552844595/4503599627370496) (+.f64 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 1/8 (pow.f64 x 2))) (/.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) 5404319552844595/4503599627370496) (+.f64 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 1/8 (pow.f64 x 2))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(if (<=.f64 (hypot.f64 1 x) 5404319552844595/4503599627370496) (*.f64 1/8 (pow.f64 x 2)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 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 1/8 (pow.f64 x 2)) (-.f64 1 (sqrt.f64 1/2)))
(if (<=.f64 x 5736293309357913/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128) (-.f64 1 1) (-.f64 1 (sqrt.f64 1/2)))
(if (<=.f64 x 5736293309357913/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128) 0 (-.f64 1 (sqrt.f64 1/2)))
(if (<=.f64 x 5475552704387099/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128) (-.f64 1 1) (/.f64 1/2 2))
(if (<=.f64 x 5475552704387099/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128) 0 1/4)
(if (<=.f64 x 1890369386038403/65185151242703554760590262029100101153646988597309960020356494379340201592426774597868716032) (-.f64 1 1) 1)
(if (<=.f64 x 1890369386038403/65185151242703554760590262029100101153646988597309960020356494379340201592426774597868716032) 0 1)
1
Compiler

Compiled 182 to 158 computations (13.2% saved)

soundness455.0ms (3.9%)

Rules
1498×fma-define
1498×fma-define
812×log1p-expm1-u
812×expm1-log1p-u
812×log1p-expm1-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022160
172128
2165128
3277128
4451128
5485128
6510128
7522128
8526128
01374
117074
2234074
01374
117074
2234074
Stop Event
node limit
node limit
saturated
Compiler

Compiled 365 to 331 computations (9.3% saved)

end0.0ms (0%)

preprocess152.0ms (1.3%)

Remove

(abs x)

Compiler

Compiled 524 to 454 computations (13.4% saved)

Profiling

Loading profile data...