Given's Rotation SVD example, simplified

Time bar (total: 14.5s)

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)

sample2.4s (16.5%)

Results
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Bogosity

preprocess746.0ms (5.1%)

Algorithm
egg-herbie
Rules
86×fma-define
68×fma-neg
26×neg-mul-1
24×associate--r+
24×associate-+l-
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
630-0-(-.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
157128
295128
3158128
4242128
5300128
6328128
7338128
8342128
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
76.6%
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
Compiler

Compiled 11 to 10 computations (9.1% saved)

localize181.0ms (1.2%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
100.0%
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
76.6%
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
Compiler

Compiled 38 to 32 computations (15.8% saved)

series6.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite218.0ms (1.5%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01358
116458
2212058
Stop Event
node limit
Counts
2 → 121
Calls
Call 1
Inputs
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
Outputs
(+.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(+.f64 0 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(+.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1)
(+.f64 (log.f64 (exp.f64 1)) (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (cbrt.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))))
(*.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(*.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1)
(*.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2))
(*.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 2))
(*.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(*.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) (/.f64 1 (+.f64 (+.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(*.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) (pow.f64 (/.f64 1 (+.f64 (+.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 1))
(*.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(*.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 1))
(*.f64 (pow.f64 1 1/3) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (cbrt.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 3))
(*.f64 (pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2) 1/3) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(*.f64 (pow.f64 (*.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 1/3) (pow.f64 (*.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2) (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2)) 1/3) (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 1/3) (pow.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 2))
(/.f64 1 (/.f64 (+.f64 (+.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2))))
(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) (+.f64 (+.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 (neg.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (neg.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2))) (neg.f64 (+.f64 (+.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(/.f64 (+.f64 1 (*.f64 -1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2))) (+.f64 1 (-.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(/.f64 (-.f64 1 (*.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (-.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1)
(pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 3)
(pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2)
(pow.f64 (/.f64 (+.f64 (+.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2))) -1)
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1)
(sqrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2))
(log.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3))
(expm1.f64 (log1p.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(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))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 2))
(fma.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1)
(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 -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 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 (+.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 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (log.f64 (exp.f64 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 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4)) 2))
(*.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 (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 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 1/2) (pow.f64 (*.f64 (cbrt.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))))) 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 (pow.f64 1 1/3) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(*.f64 (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4) 1/2) (pow.f64 (*.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2) 1/3) (pow.f64 (*.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1/3))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4)) 1/3) (pow.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4)) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2)) 1) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1))
(*.f64 (pow.f64 (+.f64 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)) 1/8) 1/2) (pow.f64 (/.f64 1 (fma.f64 (/.f64 1/2 (hypot.f64 1 x)) (-.f64 (/.f64 1/2 (hypot.f64 1 x)) 1/2) 1/4)) 1/2))
(*.f64 (pow.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) 1/2) (pow.f64 (/.f64 1 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 1/2))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4)) 1/2) (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4) 1/2))
(*.f64 (pow.f64 (*.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))))) 1/2) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1/2))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2) 1/2) 1) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 1/2) 1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4)) 3) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4)) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 3))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4) 3) 1/3) (pow.f64 (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4) 3) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) 1/3))
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 3/2) 1/3) (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 3/2) 1/3))
(*.f64 (pow.f64 (*.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1/3) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1/3))
(*.f64 (pow.f64 (*.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4)) 1/3) (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4)) 2) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4)) 2))
(/.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))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 3))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1/3))
(exp.f64 (*.f64 (*.f64 1/4 (log.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2))
(fma.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -1)
(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 (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)

simplify114.0ms (0.8%)

Algorithm
egg-herbie
Rules
1320×times-frac
920×fma-neg
904×cancel-sign-sub-inv
546×sqr-pow
540×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03957198
110056813
234866617
Stop Event
node limit
Counts
145 → 226
Calls
Call 1
Inputs
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 1/8 (pow.f64 x 2)))
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 1/8 (pow.f64 x 2))))
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (+.f64 (*.f64 -1843/32768 (pow.f64 x 8)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 1/8 (pow.f64 x 2)))))
(-.f64 1 (sqrt.f64 1/2))
(-.f64 1 (+.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2))))))
(-.f64 (+.f64 1 (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))))) (+.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2))))))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (*.f64 (pow.f64 x 3) (sqrt.f64 1/2)))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3)))))) (+.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2))))))
(-.f64 1 (sqrt.f64 1/2))
(-.f64 (+.f64 1 (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2))))) (sqrt.f64 1/2))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3)))) (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2)))))) (sqrt.f64 1/2))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2)))) (*.f64 1/2 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (*.f64 (pow.f64 x 3) (sqrt.f64 1/2))))))) (sqrt.f64 1/2))
1
(+.f64 1 (*.f64 -1/8 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 11/128 (pow.f64 x 4))))
(+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -69/1024 (pow.f64 x 6)) (*.f64 11/128 (pow.f64 x 4)))))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2)))))
(-.f64 (+.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2))))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3)))))
(-.f64 (+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2)))) (*.f64 1/2 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (*.f64 (pow.f64 x 3) (sqrt.f64 1/2)))))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3)))))
(sqrt.f64 1/2)
(-.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2)))))
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(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2) 1/2) 1) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 1/2) 1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4)) 3) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4)) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 3))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4) 3) 1/3) (pow.f64 (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4) 3) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) 1/3))
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 3/2) 1/3) (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 3/2) 1/3))
(*.f64 (pow.f64 (*.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1/3) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1/3))
(*.f64 (pow.f64 (*.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4)) 1/3) (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4)) 2) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4)) 2))
(/.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))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 3))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1/3))
(exp.f64 (*.f64 (*.f64 1/4 (log.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2))
(fma.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -1)
(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 (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 (-.f64 1 (sqrt.f64 1/2)) (/.f64 -1/4 (*.f64 x (sqrt.f64 1/2))))
(-.f64 (+.f64 1 (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))))) (+.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2))))))
(+.f64 1 (-.f64 (/.f64 1/32 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))) (+.f64 (sqrt.f64 1/2) (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))))))
(+.f64 (+.f64 (/.f64 (/.f64 1/32 (pow.f64 x 2)) (*.f64 1/2 (sqrt.f64 1/2))) (-.f64 1 (sqrt.f64 1/2))) (/.f64 -1/4 (*.f64 x (sqrt.f64 1/2))))
(+.f64 (/.f64 1/32 (*.f64 (pow.f64 x 2) (*.f64 1/2 (sqrt.f64 1/2)))) (-.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 1/4 (*.f64 x (sqrt.f64 1/2)))))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1/2 (/.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 3/32 (*.f64 (sqrt.f64 1/2) (pow.f64 x 3))) (-.f64 (/.f64 (/.f64 1/32 (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 (/.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 (-.f64 1 (sqrt.f64 1/2)) (/.f64 1/4 (*.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 1 (-.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) (sqrt.f64 1/2)))
(+.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) (-.f64 1 (sqrt.f64 1/2)))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3)))) (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2)))))) (sqrt.f64 1/2))
(+.f64 1 (-.f64 (+.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) (/.f64 1/32 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3)))) (sqrt.f64 1/2)))
(+.f64 (+.f64 1 (/.f64 (/.f64 1/32 (pow.f64 x 2)) (*.f64 1/2 (sqrt.f64 1/2)))) (-.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) (sqrt.f64 1/2)))
(+.f64 (+.f64 1 (/.f64 1/32 (*.f64 (pow.f64 x 2) (*.f64 1/2 (sqrt.f64 1/2))))) (-.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) (sqrt.f64 1/2)))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2)))) (*.f64 1/2 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (*.f64 (pow.f64 x 3) (sqrt.f64 1/2))))))) (sqrt.f64 1/2))
(+.f64 1 (-.f64 (+.f64 (+.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) (/.f64 1/32 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3)))) (*.f64 1/2 (/.f64 (+.f64 (/.f64 1/64 (pow.f64 (sqrt.f64 1/2) 4)) -1/4) (*.f64 (sqrt.f64 1/2) (pow.f64 x 3))))) (sqrt.f64 1/2)))
(+.f64 1 (+.f64 (+.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) (/.f64 -3/32 (*.f64 (sqrt.f64 1/2) (pow.f64 x 3)))) (-.f64 (/.f64 (/.f64 1/32 (pow.f64 x 2)) (*.f64 1/2 (sqrt.f64 1/2))) (sqrt.f64 1/2))))
(+.f64 (+.f64 1 (/.f64 1/32 (*.f64 (pow.f64 x 2) (*.f64 1/2 (sqrt.f64 1/2))))) (-.f64 (+.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) (/.f64 -3/32 (*.f64 (sqrt.f64 1/2) (pow.f64 x 3)))) (sqrt.f64 1/2)))
1
(+.f64 1 (*.f64 -1/8 (pow.f64 x 2)))
(+.f64 1 (*.f64 (pow.f64 x 2) -1/8))
(fma.f64 (pow.f64 x 2) -1/8 1)
(+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 11/128 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/8 (pow.f64 x 2) (*.f64 (pow.f64 x 4) 11/128)))
(+.f64 1 (fma.f64 (pow.f64 x 4) 11/128 (*.f64 (pow.f64 x 2) -1/8)))
(+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -69/1024 (pow.f64 x 6)) (*.f64 11/128 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -1/8 (pow.f64 x 2) (fma.f64 -69/1024 (pow.f64 x 6) (*.f64 (pow.f64 x 4) 11/128))))
(+.f64 1 (fma.f64 (pow.f64 x 2) -1/8 (fma.f64 (pow.f64 x 4) 11/128 (*.f64 (pow.f64 x 6) -69/1024))))
(+.f64 (fma.f64 (pow.f64 x 2) -1/8 1) (fma.f64 (pow.f64 x 4) 11/128 (*.f64 (pow.f64 x 6) -69/1024)))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2)))))
(+.f64 (sqrt.f64 1/2) (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))))
(-.f64 (+.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2))))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3)))))
(-.f64 (+.f64 (sqrt.f64 1/2) (/.f64 1/4 (*.f64 x (sqrt.f64 1/2)))) (/.f64 1/32 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))))
(+.f64 (sqrt.f64 1/2) (-.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) (/.f64 (/.f64 1/32 (pow.f64 x 2)) (*.f64 1/2 (sqrt.f64 1/2)))))
(+.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) (-.f64 (sqrt.f64 1/2) (/.f64 1/32 (*.f64 (pow.f64 x 2) (*.f64 1/2 (sqrt.f64 1/2))))))
(-.f64 (+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2)))) (*.f64 1/2 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (*.f64 (pow.f64 x 3) (sqrt.f64 1/2)))))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3)))))
(-.f64 (+.f64 (+.f64 (sqrt.f64 1/2) (/.f64 1/4 (*.f64 x (sqrt.f64 1/2)))) (*.f64 1/2 (/.f64 (+.f64 (/.f64 1/64 (pow.f64 (sqrt.f64 1/2) 4)) -1/4) (*.f64 (sqrt.f64 1/2) (pow.f64 x 3))))) (/.f64 1/32 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))))
(+.f64 (sqrt.f64 1/2) (+.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) (-.f64 (/.f64 -3/32 (*.f64 (sqrt.f64 1/2) (pow.f64 x 3))) (/.f64 (/.f64 1/32 (pow.f64 x 2)) (*.f64 1/2 (sqrt.f64 1/2))))))
(+.f64 (sqrt.f64 1/2) (+.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) (+.f64 (/.f64 -3/32 (*.f64 (sqrt.f64 1/2) (pow.f64 x 3))) (/.f64 -1/32 (*.f64 (pow.f64 x 2) (*.f64 1/2 (sqrt.f64 1/2)))))))
(sqrt.f64 1/2)
(-.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2)))))
(-.f64 (sqrt.f64 1/2) (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))))
(+.f64 (sqrt.f64 1/2) (/.f64 -1/4 (*.f64 x (sqrt.f64 1/2))))
(-.f64 (sqrt.f64 1/2) (+.f64 (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3)))) (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2))))))
(-.f64 (-.f64 (sqrt.f64 1/2) (/.f64 1/32 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3)))) (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))))
(+.f64 (-.f64 (sqrt.f64 1/2) (/.f64 (/.f64 1/32 (pow.f64 x 2)) (*.f64 1/2 (sqrt.f64 1/2)))) (/.f64 -1/4 (*.f64 x (sqrt.f64 1/2))))
(+.f64 (sqrt.f64 1/2) (-.f64 (/.f64 -1/4 (*.f64 x (sqrt.f64 1/2))) (/.f64 1/32 (*.f64 (pow.f64 x 2) (*.f64 1/2 (sqrt.f64 1/2))))))
(-.f64 (+.f64 (sqrt.f64 1/2) (*.f64 -1/2 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (*.f64 (pow.f64 x 3) (sqrt.f64 1/2))))) (+.f64 (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3)))) (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2))))))
(-.f64 (+.f64 (sqrt.f64 1/2) (*.f64 -1/2 (/.f64 (+.f64 (/.f64 1/64 (pow.f64 (sqrt.f64 1/2) 4)) -1/4) (*.f64 (sqrt.f64 1/2) (pow.f64 x 3))))) (+.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) (/.f64 1/32 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3)))))
(+.f64 (/.f64 3/32 (*.f64 (sqrt.f64 1/2) (pow.f64 x 3))) (+.f64 (-.f64 (sqrt.f64 1/2) (/.f64 (/.f64 1/32 (pow.f64 x 2)) (*.f64 1/2 (sqrt.f64 1/2)))) (/.f64 -1/4 (*.f64 x (sqrt.f64 1/2)))))
(+.f64 (sqrt.f64 1/2) (+.f64 (/.f64 3/32 (*.f64 (sqrt.f64 1/2) (pow.f64 x 3))) (-.f64 (/.f64 -1/4 (*.f64 x (sqrt.f64 1/2))) (/.f64 1/32 (*.f64 (pow.f64 x 2) (*.f64 1/2 (sqrt.f64 1/2)))))))
(+.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(+.f64 0 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(+.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1)
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(+.f64 (log.f64 (exp.f64 1)) (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(+.f64 (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 (*.f64 2 (log.f64 (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 2 (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 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 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))))) (log.f64 (exp.f64 1)))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
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(/.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 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)))
(/.f64 (sqrt.f64 (+.f64 1/8 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)))) (sqrt.f64 (fma.f64 (/.f64 1/2 (hypot.f64 1 x)) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) -1/2) 1/4)))
(/.f64 (sqrt.f64 (+.f64 1/8 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)))) (sqrt.f64 (fma.f64 (/.f64 1/2 (hypot.f64 1 x)) (-.f64 -1/2 (/.f64 -1/2 (hypot.f64 1 x))) 1/4)))
(pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/2)
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 1)
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3)
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2) 1/3)
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4) 2)
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(fabs.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))))
(log.f64 (exp.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))))
(log.f64 (+.f64 1 (expm1.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))))
(cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2))
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(expm1.f64 (log1p.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))))
(log1p.f64 (expm1.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))))
(exp.f64 (log.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))))
(exp.f64 (*.f64 (log.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 1/2))
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1))
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 3))
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1/3))
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(exp.f64 (*.f64 (*.f64 1/4 (log.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2))
(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))))) -1)
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(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)
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(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))))

eval127.0ms (0.9%)

Compiler

Compiled 5086 to 4629 computations (9% saved)

prune37.0ms (0.3%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New21610226
Fresh000
Picked011
Done000
Total21611227
Accuracy
100.0%
Counts
227 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.4%
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
51.5%
(-.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))))
27.9%
(-.f64 1 (+.f64 1 (*.f64 (pow.f64 x 2) -1/8)))
76.6%
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
51.7%
(-.f64 1 (sqrt.f64 1/2))
26.8%
(-.f64 1 1)
49.0%
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 1/8 (pow.f64 x 2))))
48.5%
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 1/8 (pow.f64 x 2)))
77.4%
(*.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)))))))
50.2%
(*.f64 1/8 (pow.f64 x 2))
76.6%
(log.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
Compiler

Compiled 251 to 224 computations (10.8% saved)

localize561.0ms (3.9%)

Localize:

Found 9 expressions with local error:

NewAccuracyProgram
99.9%
(*.f64 69/1024 (pow.f64 x 6))
99.6%
(*.f64 -11/128 (pow.f64 x 4))
71.7%
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 1/8 (pow.f64 x 2))))
99.6%
(*.f64 -11/128 (pow.f64 x 4))
76.9%
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 1/8 (pow.f64 x 2)))
100.0%
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.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)))))))
77.4%
(-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))
Compiler

Compiled 183 to 151 computations (17.5% saved)

series27.0ms (0.2%)

Counts
9 → 57
Calls

27 calls:

TimeVariablePointExpression
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)))))))
2.0ms
x
@0
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 1/8 (pow.f64 x 2))))
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)))))))
2.0ms
x
@inf
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
1.0ms
x
@-inf
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))

rewrite220.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
1020×log1p-expm1-u
306×associate-*r*
208×expm1-log1p-u
206×add-cube-cbrt
202×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031282
1466255
26689255
Stop Event
node limit
Counts
9 → 270
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 1 (+.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))
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 1/8 (pow.f64 x 2))))
(*.f64 -11/128 (pow.f64 x 4))
(*.f64 69/1024 (pow.f64 x 6))
Outputs
(+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))
(+.f64 1/2 (*.f64 (/.f64 -1/2 (hypot.f64 1 x)) 1))
(+.f64 1 (neg.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(+.f64 1 (*.f64 -1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(+.f64 1 (*.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(+.f64 1 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2)) (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(+.f64 (/.f64 -1/2 (hypot.f64 1 x)) 1/2)
(*.f64 1 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))))
(*.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) 1)
(*.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) 2) (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))))
(*.f64 (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 (+.f64 1/4 (/.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 (+.f64 1/4 (/.f64 1/4 (+.f64 1 (pow.f64 x 2)))) (/.f64 1/4 (hypot.f64 1 x))) (-.f64 1/8 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)))))
(/.f64 1 (/.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (-.f64 1/4 (/.f64 1/4 (+.f64 1 (pow.f64 x 2))))))
(/.f64 (-.f64 1/8 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3))) (+.f64 (+.f64 1/4 (/.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 (+.f64 1/4 (/.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 (+.f64 1/4 (/.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 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))
(+.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 (exp.f64 (neg.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 1/2) (*.f64 (exp.f64 (neg.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (/.f64 -1/2 (hypot.f64 1 x))))
(+.f64 (*.f64 1/2 (exp.f64 (neg.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))) (*.f64 (/.f64 -1/2 (hypot.f64 1 x)) (exp.f64 (neg.f64 (log1p.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 (exp.f64 (log1p.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 1)
(-.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 (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 1/2 (/.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 1/8 (/.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 (+.f64 1/4 (/.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 1/8 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3))) 1) (*.f64 (+.f64 (+.f64 1/4 (/.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 (+.f64 1/4 (/.f64 1/4 (+.f64 1 (pow.f64 x 2)))) (/.f64 1/4 (hypot.f64 1 x))) (neg.f64 (+.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 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
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(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 12) -1331/2097152) (*.f64 (pow.f64 x 6) 1/512))) (neg.f64 (+.f64 (*.f64 (pow.f64 x 8) 121/16384) (-.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 -11/128 (*.f64 (pow.f64 x 4) (*.f64 1/8 (pow.f64 x 2))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 8) 121/16384) (*.f64 (pow.f64 x 4) 1/64))) (neg.f64 (+.f64 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 -1/8 (pow.f64 x 2)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (pow.f64 x 8) 121/16384)) (-.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4))))
(pow.f64 (fma.f64 -11/128 (pow.f64 x 4) (*.f64 1/8 (pow.f64 x 2))) 1)
(pow.f64 (cbrt.f64 (fma.f64 -11/128 (pow.f64 x 4) (*.f64 1/8 (pow.f64 x 2)))) 3)
(pow.f64 (pow.f64 (fma.f64 -11/128 (pow.f64 x 4) (*.f64 1/8 (pow.f64 x 2))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -11/128 (pow.f64 x 4) (*.f64 1/8 (pow.f64 x 2)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 -11/128 (pow.f64 x 4) (*.f64 1/8 (pow.f64 x 2))) 2))
(log.f64 (exp.f64 (fma.f64 -11/128 (pow.f64 x 4) (*.f64 1/8 (pow.f64 x 2)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -11/128 (pow.f64 x 4) (*.f64 1/8 (pow.f64 x 2))))))
(cbrt.f64 (pow.f64 (fma.f64 -11/128 (pow.f64 x 4) (*.f64 1/8 (pow.f64 x 2))) 3))
(expm1.f64 (log1p.f64 (fma.f64 -11/128 (pow.f64 x 4) (*.f64 1/8 (pow.f64 x 2)))))
(log1p.f64 (expm1.f64 (fma.f64 -11/128 (pow.f64 x 4) (*.f64 1/8 (pow.f64 x 2)))))
(exp.f64 (log.f64 (fma.f64 -11/128 (pow.f64 x 4) (*.f64 1/8 (pow.f64 x 2)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 -11/128 (pow.f64 x 4) (*.f64 1/8 (pow.f64 x 2)))) 1))
(fma.f64 1 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 1/8 (pow.f64 x 2)))
(fma.f64 1 (*.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4)))
(fma.f64 -11/128 (pow.f64 x 4) (*.f64 1/8 (pow.f64 x 2)))
(fma.f64 (pow.f64 x 4) -11/128 (*.f64 1/8 (pow.f64 x 2)))
(fma.f64 1/8 (pow.f64 x 2) (*.f64 -11/128 (pow.f64 x 4)))
(fma.f64 (pow.f64 x 2) 1/8 (*.f64 -11/128 (pow.f64 x 4)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/64)) (cbrt.f64 (*.f64 1/8 (pow.f64 x 2))) (*.f64 -11/128 (pow.f64 x 4)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 121/16384)) (cbrt.f64 (*.f64 -11/128 (pow.f64 x 4))) (*.f64 1/8 (pow.f64 x 2)))
(fma.f64 (*.f64 x (sqrt.f64 1/8)) (*.f64 x (sqrt.f64 1/8)) (*.f64 -11/128 (pow.f64 x 4)))
(fma.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 -11/128)) (*.f64 (pow.f64 x 2) (sqrt.f64 -11/128)) (*.f64 1/8 (pow.f64 x 2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -11/128 (pow.f64 x 4)))) 1)
(pow.f64 (*.f64 -11/128 (pow.f64 x 4)) 1)
(pow.f64 (cbrt.f64 (*.f64 -11/128 (pow.f64 x 4))) 3)
(pow.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 -11/128)) 2)
(pow.f64 (*.f64 (pow.f64 x 12) -1331/2097152) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 8) 121/16384))
(log.f64 (pow.f64 (exp.f64 -11/128) (pow.f64 x 4)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -11/128 (pow.f64 x 4)))))
(cbrt.f64 (*.f64 (pow.f64 x 12) -1331/2097152))
(expm1.f64 (log1p.f64 (*.f64 -11/128 (pow.f64 x 4))))
(log1p.f64 (expm1.f64 (*.f64 -11/128 (pow.f64 x 4))))
(exp.f64 (log.f64 (*.f64 -11/128 (pow.f64 x 4))))
(exp.f64 (*.f64 (log.f64 (*.f64 -11/128 (pow.f64 x 4))) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -11/128 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6)))))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 x 8) 121/16384) (-.f64 (*.f64 -11/128 (pow.f64 x 4)) (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))))) (/.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))) 2) (-.f64 (*.f64 -11/128 (pow.f64 x 4)) (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))))))
(*.f64 1 (fma.f64 -11/128 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6)))))
(*.f64 (fma.f64 -11/128 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6)))) 1)
(*.f64 (cbrt.f64 (fma.f64 -11/128 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))))) (pow.f64 (cbrt.f64 (fma.f64 -11/128 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -11/128 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))))) 2) (cbrt.f64 (fma.f64 -11/128 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))))))
(*.f64 (sqrt.f64 (fma.f64 -11/128 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))))) (sqrt.f64 (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 (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))) 3) (*.f64 (pow.f64 x 12) -1331/2097152)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 8) 121/16384) (*.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))) (-.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))) (*.f64 -11/128 (pow.f64 x 4)))))))
(*.f64 (-.f64 (*.f64 (pow.f64 x 8) 121/16384) (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))) 2)) (/.f64 1 (-.f64 (*.f64 -11/128 (pow.f64 x 4)) (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))))))
(/.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 x 8) 121/16384) (*.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))) (-.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))) (*.f64 -11/128 (pow.f64 x 4))))) (+.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))) 3) (*.f64 (pow.f64 x 12) -1331/2097152))))
(/.f64 1 (/.f64 (-.f64 (*.f64 -11/128 (pow.f64 x 4)) (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6)))) (-.f64 (*.f64 (pow.f64 x 8) 121/16384) (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))) 2))))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))) 3) (*.f64 (pow.f64 x 12) -1331/2097152)) (+.f64 (*.f64 (pow.f64 x 8) 121/16384) (*.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))) (-.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))) (*.f64 -11/128 (pow.f64 x 4))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))) 3) (*.f64 (pow.f64 x 12) -1331/2097152)) (+.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))) 2) (-.f64 (*.f64 (pow.f64 x 8) 121/16384) (*.f64 (*.f64 -11/128 (pow.f64 x 4)) (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 8) 121/16384) (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))) 2)) (-.f64 (*.f64 -11/128 (pow.f64 x 4)) (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))) 3) (*.f64 (pow.f64 x 12) -1331/2097152))) (neg.f64 (+.f64 (*.f64 (pow.f64 x 8) 121/16384) (*.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))) (-.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))) (*.f64 -11/128 (pow.f64 x 4)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 8) 121/16384) (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))) 2))) (neg.f64 (-.f64 (*.f64 -11/128 (pow.f64 x 4)) (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 -11/128 (pow.f64 x 4) (*.f64 69/1024 (pow.f64 x 6))) 3) (*.f64 (pow.f64 x 6) 1/512)) (+.f64 (*.f64 (fma.f64 -11/128 (pow.f64 x 4) (*.f64 69/1024 (pow.f64 x 6))) (fma.f64 -11/128 (pow.f64 x 4) (*.f64 69/1024 (pow.f64 x 6)))) (-.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (fma.f64 -11/128 (pow.f64 x 4) (*.f64 69/1024 (pow.f64 x 6))) (*.f64 1/8 (pow.f64 x 2))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))) 2) (*.f64 (pow.f64 x 8) 121/16384)) (-.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))) (*.f64 -11/128 (pow.f64 x 4))))
(/.f64 (-.f64 (*.f64 (fma.f64 -11/128 (pow.f64 x 4) (*.f64 69/1024 (pow.f64 x 6))) (fma.f64 -11/128 (pow.f64 x 4) (*.f64 69/1024 (pow.f64 x 6)))) (*.f64 (pow.f64 x 4) 1/64)) (-.f64 (fma.f64 -11/128 (pow.f64 x 4) (*.f64 69/1024 (pow.f64 x 6))) (*.f64 1/8 (pow.f64 x 2))))
(pow.f64 (fma.f64 -11/128 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6)))) 1)
(pow.f64 (cbrt.f64 (fma.f64 -11/128 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))))) 3)
(pow.f64 (pow.f64 (fma.f64 -11/128 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6)))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -11/128 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))))) 2)
(sqrt.f64 (pow.f64 (fma.f64 -11/128 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6)))) 2))
(log.f64 (exp.f64 (fma.f64 -11/128 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -11/128 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6)))))))
(cbrt.f64 (pow.f64 (fma.f64 -11/128 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6)))) 3))
(expm1.f64 (log1p.f64 (fma.f64 -11/128 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))))))
(log1p.f64 (expm1.f64 (fma.f64 -11/128 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))))))
(exp.f64 (log.f64 (fma.f64 -11/128 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 -11/128 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))))) 1))
(fma.f64 1 (*.f64 -11/128 (pow.f64 x 4)) (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))))
(fma.f64 1 (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))) (*.f64 -11/128 (pow.f64 x 4)))
(fma.f64 -11/128 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))))
(fma.f64 (pow.f64 x 4) -11/128 (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6)))) 2) (cbrt.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6)))) (*.f64 -11/128 (pow.f64 x 4)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 121/16384)) (cbrt.f64 (*.f64 -11/128 (pow.f64 x 4))) (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))))
(fma.f64 (sqrt.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6)))) (sqrt.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6)))) (*.f64 -11/128 (pow.f64 x 4)))
(fma.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 -11/128)) (*.f64 (pow.f64 x 2) (sqrt.f64 -11/128)) (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -11/128 (pow.f64 x 4)))) 1)
(pow.f64 (*.f64 -11/128 (pow.f64 x 4)) 1)
(pow.f64 (cbrt.f64 (*.f64 -11/128 (pow.f64 x 4))) 3)
(pow.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 -11/128)) 2)
(pow.f64 (*.f64 (pow.f64 x 12) -1331/2097152) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 8) 121/16384))
(log.f64 (pow.f64 (exp.f64 -11/128) (pow.f64 x 4)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -11/128 (pow.f64 x 4)))))
(cbrt.f64 (*.f64 (pow.f64 x 12) -1331/2097152))
(expm1.f64 (log1p.f64 (*.f64 -11/128 (pow.f64 x 4))))
(log1p.f64 (expm1.f64 (*.f64 -11/128 (pow.f64 x 4))))
(exp.f64 (log.f64 (*.f64 -11/128 (pow.f64 x 4))))
(exp.f64 (*.f64 (log.f64 (*.f64 -11/128 (pow.f64 x 4))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 69/1024 (pow.f64 x 6)))) 1)
(pow.f64 (*.f64 69/1024 (pow.f64 x 6)) 1)
(pow.f64 (*.f64 (pow.f64 x 2) (cbrt.f64 69/1024)) 3)
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 6) 3) 328509/1073741824) 1/3)
(pow.f64 (*.f64 (pow.f64 x 3) (sqrt.f64 69/1024)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 12) 4761/1048576))
(log.f64 (pow.f64 (exp.f64 69/1024) (pow.f64 x 6)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 69/1024 (pow.f64 x 6)))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 6) 3) 328509/1073741824))
(expm1.f64 (log1p.f64 (*.f64 69/1024 (pow.f64 x 6))))
(log1p.f64 (expm1.f64 (*.f64 69/1024 (pow.f64 x 6))))
(exp.f64 (log.f64 (*.f64 69/1024 (pow.f64 x 6))))
(exp.f64 (*.f64 (log.f64 (*.f64 69/1024 (pow.f64 x 6))) 1))

simplify158.0ms (1.1%)

Algorithm
egg-herbie
Rules
860×times-frac
764×associate-*r*
732×associate-*l*
728×fma-define
400×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
079919074
1222418176
Stop Event
node limit
Counts
327 → 479
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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(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
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2
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1/2
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(exp.f64 (*.f64 (neg.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -11/128 (pow.f64 x 4) (*.f64 1/8 (pow.f64 x 2))))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 x 8) 121/16384) (+.f64 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 -1/8 (pow.f64 x 2)))) (/.f64 (*.f64 (pow.f64 x 4) 1/64) (+.f64 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 -1/8 (pow.f64 x 2)))))
(*.f64 1 (fma.f64 -11/128 (pow.f64 x 4) (*.f64 1/8 (pow.f64 x 2))))
(*.f64 (fma.f64 -11/128 (pow.f64 x 4) (*.f64 1/8 (pow.f64 x 2))) 1)
(*.f64 (cbrt.f64 (fma.f64 -11/128 (pow.f64 x 4) (*.f64 1/8 (pow.f64 x 2)))) (pow.f64 (cbrt.f64 (fma.f64 -11/128 (pow.f64 x 4) (*.f64 1/8 (pow.f64 x 2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -11/128 (pow.f64 x 4) (*.f64 1/8 (pow.f64 x 2)))) 2) (cbrt.f64 (fma.f64 -11/128 (pow.f64 x 4) (*.f64 1/8 (pow.f64 x 2)))))
(*.f64 (sqrt.f64 (fma.f64 -11/128 (pow.f64 x 4) (*.f64 1/8 (pow.f64 x 2)))) (sqrt.f64 (fma.f64 -11/128 (pow.f64 x 4) (*.f64 1/8 (pow.f64 x 2)))))
(*.f64 (+.f64 (*.f64 (pow.f64 x 12) -1331/2097152) (*.f64 (pow.f64 x 6) 1/512)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 8) 121/16384) (-.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 -11/128 (*.f64 (pow.f64 x 4) (*.f64 1/8 (pow.f64 x 2))))))))
(*.f64 (-.f64 (*.f64 (pow.f64 x 8) 121/16384) (*.f64 (pow.f64 x 4) 1/64)) (/.f64 1 (+.f64 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 -1/8 (pow.f64 x 2)))))
(/.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 x 8) 121/16384) (-.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 -11/128 (*.f64 (pow.f64 x 4) (*.f64 1/8 (pow.f64 x 2)))))) (+.f64 (*.f64 (pow.f64 x 12) -1331/2097152) (*.f64 (pow.f64 x 6) 1/512))))
(/.f64 1 (/.f64 (+.f64 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 -1/8 (pow.f64 x 2))) (-.f64 (*.f64 (pow.f64 x 8) 121/16384) (*.f64 (pow.f64 x 4) 1/64))))
(/.f64 (+.f64 (*.f64 (pow.f64 x 12) -1331/2097152) (*.f64 (pow.f64 x 6) 1/512)) (+.f64 (*.f64 (pow.f64 x 8) 121/16384) (-.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 -11/128 (*.f64 (pow.f64 x 4) (*.f64 1/8 (pow.f64 x 2)))))))
(/.f64 (+.f64 (*.f64 (pow.f64 x 12) -1331/2097152) (*.f64 (pow.f64 x 6) 1/512)) (+.f64 (*.f64 (pow.f64 x 4) 1/64) (-.f64 (*.f64 (pow.f64 x 8) 121/16384) (*.f64 -11/128 (*.f64 (pow.f64 x 4) (*.f64 1/8 (pow.f64 x 2)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 8) 121/16384) (*.f64 (pow.f64 x 4) 1/64)) (+.f64 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 -1/8 (pow.f64 x 2))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 12) -1331/2097152) (*.f64 (pow.f64 x 6) 1/512))) (neg.f64 (+.f64 (*.f64 (pow.f64 x 8) 121/16384) (-.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 -11/128 (*.f64 (pow.f64 x 4) (*.f64 1/8 (pow.f64 x 2))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 8) 121/16384) (*.f64 (pow.f64 x 4) 1/64))) (neg.f64 (+.f64 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 -1/8 (pow.f64 x 2)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (pow.f64 x 8) 121/16384)) (-.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4))))
(pow.f64 (fma.f64 -11/128 (pow.f64 x 4) (*.f64 1/8 (pow.f64 x 2))) 1)
(pow.f64 (cbrt.f64 (fma.f64 -11/128 (pow.f64 x 4) (*.f64 1/8 (pow.f64 x 2)))) 3)
(pow.f64 (pow.f64 (fma.f64 -11/128 (pow.f64 x 4) (*.f64 1/8 (pow.f64 x 2))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -11/128 (pow.f64 x 4) (*.f64 1/8 (pow.f64 x 2)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 -11/128 (pow.f64 x 4) (*.f64 1/8 (pow.f64 x 2))) 2))
(log.f64 (exp.f64 (fma.f64 -11/128 (pow.f64 x 4) (*.f64 1/8 (pow.f64 x 2)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -11/128 (pow.f64 x 4) (*.f64 1/8 (pow.f64 x 2))))))
(cbrt.f64 (pow.f64 (fma.f64 -11/128 (pow.f64 x 4) (*.f64 1/8 (pow.f64 x 2))) 3))
(expm1.f64 (log1p.f64 (fma.f64 -11/128 (pow.f64 x 4) (*.f64 1/8 (pow.f64 x 2)))))
(log1p.f64 (expm1.f64 (fma.f64 -11/128 (pow.f64 x 4) (*.f64 1/8 (pow.f64 x 2)))))
(exp.f64 (log.f64 (fma.f64 -11/128 (pow.f64 x 4) (*.f64 1/8 (pow.f64 x 2)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 -11/128 (pow.f64 x 4) (*.f64 1/8 (pow.f64 x 2)))) 1))
(fma.f64 1 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 1/8 (pow.f64 x 2)))
(fma.f64 1 (*.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4)))
(fma.f64 -11/128 (pow.f64 x 4) (*.f64 1/8 (pow.f64 x 2)))
(fma.f64 (pow.f64 x 4) -11/128 (*.f64 1/8 (pow.f64 x 2)))
(fma.f64 1/8 (pow.f64 x 2) (*.f64 -11/128 (pow.f64 x 4)))
(fma.f64 (pow.f64 x 2) 1/8 (*.f64 -11/128 (pow.f64 x 4)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/64)) (cbrt.f64 (*.f64 1/8 (pow.f64 x 2))) (*.f64 -11/128 (pow.f64 x 4)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 121/16384)) (cbrt.f64 (*.f64 -11/128 (pow.f64 x 4))) (*.f64 1/8 (pow.f64 x 2)))
(fma.f64 (*.f64 x (sqrt.f64 1/8)) (*.f64 x (sqrt.f64 1/8)) (*.f64 -11/128 (pow.f64 x 4)))
(fma.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 -11/128)) (*.f64 (pow.f64 x 2) (sqrt.f64 -11/128)) (*.f64 1/8 (pow.f64 x 2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -11/128 (pow.f64 x 4)))) 1)
(pow.f64 (*.f64 -11/128 (pow.f64 x 4)) 1)
(pow.f64 (cbrt.f64 (*.f64 -11/128 (pow.f64 x 4))) 3)
(pow.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 -11/128)) 2)
(pow.f64 (*.f64 (pow.f64 x 12) -1331/2097152) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 8) 121/16384))
(log.f64 (pow.f64 (exp.f64 -11/128) (pow.f64 x 4)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -11/128 (pow.f64 x 4)))))
(cbrt.f64 (*.f64 (pow.f64 x 12) -1331/2097152))
(expm1.f64 (log1p.f64 (*.f64 -11/128 (pow.f64 x 4))))
(log1p.f64 (expm1.f64 (*.f64 -11/128 (pow.f64 x 4))))
(exp.f64 (log.f64 (*.f64 -11/128 (pow.f64 x 4))))
(exp.f64 (*.f64 (log.f64 (*.f64 -11/128 (pow.f64 x 4))) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -11/128 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6)))))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 x 8) 121/16384) (-.f64 (*.f64 -11/128 (pow.f64 x 4)) (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))))) (/.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))) 2) (-.f64 (*.f64 -11/128 (pow.f64 x 4)) (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))))))
(*.f64 1 (fma.f64 -11/128 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6)))))
(*.f64 (fma.f64 -11/128 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6)))) 1)
(*.f64 (cbrt.f64 (fma.f64 -11/128 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))))) (pow.f64 (cbrt.f64 (fma.f64 -11/128 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -11/128 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))))) 2) (cbrt.f64 (fma.f64 -11/128 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))))))
(*.f64 (sqrt.f64 (fma.f64 -11/128 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))))) (sqrt.f64 (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 (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))) 3) (*.f64 (pow.f64 x 12) -1331/2097152)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 8) 121/16384) (*.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))) (-.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))) (*.f64 -11/128 (pow.f64 x 4)))))))
(*.f64 (-.f64 (*.f64 (pow.f64 x 8) 121/16384) (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))) 2)) (/.f64 1 (-.f64 (*.f64 -11/128 (pow.f64 x 4)) (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))))))
(/.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 x 8) 121/16384) (*.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))) (-.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))) (*.f64 -11/128 (pow.f64 x 4))))) (+.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))) 3) (*.f64 (pow.f64 x 12) -1331/2097152))))
(/.f64 1 (/.f64 (-.f64 (*.f64 -11/128 (pow.f64 x 4)) (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6)))) (-.f64 (*.f64 (pow.f64 x 8) 121/16384) (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))) 2))))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))) 3) (*.f64 (pow.f64 x 12) -1331/2097152)) (+.f64 (*.f64 (pow.f64 x 8) 121/16384) (*.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))) (-.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))) (*.f64 -11/128 (pow.f64 x 4))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))) 3) (*.f64 (pow.f64 x 12) -1331/2097152)) (+.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))) 2) (-.f64 (*.f64 (pow.f64 x 8) 121/16384) (*.f64 (*.f64 -11/128 (pow.f64 x 4)) (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 8) 121/16384) (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))) 2)) (-.f64 (*.f64 -11/128 (pow.f64 x 4)) (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))) 3) (*.f64 (pow.f64 x 12) -1331/2097152))) (neg.f64 (+.f64 (*.f64 (pow.f64 x 8) 121/16384) (*.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))) (-.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))) (*.f64 -11/128 (pow.f64 x 4)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 8) 121/16384) (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))) 2))) (neg.f64 (-.f64 (*.f64 -11/128 (pow.f64 x 4)) (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 -11/128 (pow.f64 x 4) (*.f64 69/1024 (pow.f64 x 6))) 3) (*.f64 (pow.f64 x 6) 1/512)) (+.f64 (*.f64 (fma.f64 -11/128 (pow.f64 x 4) (*.f64 69/1024 (pow.f64 x 6))) (fma.f64 -11/128 (pow.f64 x 4) (*.f64 69/1024 (pow.f64 x 6)))) (-.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (fma.f64 -11/128 (pow.f64 x 4) (*.f64 69/1024 (pow.f64 x 6))) (*.f64 1/8 (pow.f64 x 2))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))) 2) (*.f64 (pow.f64 x 8) 121/16384)) (-.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))) (*.f64 -11/128 (pow.f64 x 4))))
(/.f64 (-.f64 (*.f64 (fma.f64 -11/128 (pow.f64 x 4) (*.f64 69/1024 (pow.f64 x 6))) (fma.f64 -11/128 (pow.f64 x 4) (*.f64 69/1024 (pow.f64 x 6)))) (*.f64 (pow.f64 x 4) 1/64)) (-.f64 (fma.f64 -11/128 (pow.f64 x 4) (*.f64 69/1024 (pow.f64 x 6))) (*.f64 1/8 (pow.f64 x 2))))
(pow.f64 (fma.f64 -11/128 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6)))) 1)
(pow.f64 (cbrt.f64 (fma.f64 -11/128 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))))) 3)
(pow.f64 (pow.f64 (fma.f64 -11/128 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6)))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -11/128 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))))) 2)
(sqrt.f64 (pow.f64 (fma.f64 -11/128 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6)))) 2))
(log.f64 (exp.f64 (fma.f64 -11/128 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -11/128 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6)))))))
(cbrt.f64 (pow.f64 (fma.f64 -11/128 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6)))) 3))
(expm1.f64 (log1p.f64 (fma.f64 -11/128 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))))))
(log1p.f64 (expm1.f64 (fma.f64 -11/128 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))))))
(exp.f64 (log.f64 (fma.f64 -11/128 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 -11/128 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))))) 1))
(fma.f64 1 (*.f64 -11/128 (pow.f64 x 4)) (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))))
(fma.f64 1 (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))) (*.f64 -11/128 (pow.f64 x 4)))
(fma.f64 -11/128 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))))
(fma.f64 (pow.f64 x 4) -11/128 (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6)))) 2) (cbrt.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6)))) (*.f64 -11/128 (pow.f64 x 4)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 121/16384)) (cbrt.f64 (*.f64 -11/128 (pow.f64 x 4))) (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))))
(fma.f64 (sqrt.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6)))) (sqrt.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6)))) (*.f64 -11/128 (pow.f64 x 4)))
(fma.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 -11/128)) (*.f64 (pow.f64 x 2) (sqrt.f64 -11/128)) (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -11/128 (pow.f64 x 4)))) 1)
(pow.f64 (*.f64 -11/128 (pow.f64 x 4)) 1)
(pow.f64 (cbrt.f64 (*.f64 -11/128 (pow.f64 x 4))) 3)
(pow.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 -11/128)) 2)
(pow.f64 (*.f64 (pow.f64 x 12) -1331/2097152) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 8) 121/16384))
(log.f64 (pow.f64 (exp.f64 -11/128) (pow.f64 x 4)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -11/128 (pow.f64 x 4)))))
(cbrt.f64 (*.f64 (pow.f64 x 12) -1331/2097152))
(expm1.f64 (log1p.f64 (*.f64 -11/128 (pow.f64 x 4))))
(log1p.f64 (expm1.f64 (*.f64 -11/128 (pow.f64 x 4))))
(exp.f64 (log.f64 (*.f64 -11/128 (pow.f64 x 4))))
(exp.f64 (*.f64 (log.f64 (*.f64 -11/128 (pow.f64 x 4))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 69/1024 (pow.f64 x 6)))) 1)
(pow.f64 (*.f64 69/1024 (pow.f64 x 6)) 1)
(pow.f64 (*.f64 (pow.f64 x 2) (cbrt.f64 69/1024)) 3)
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 6) 3) 328509/1073741824) 1/3)
(pow.f64 (*.f64 (pow.f64 x 3) (sqrt.f64 69/1024)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 12) 4761/1048576))
(log.f64 (pow.f64 (exp.f64 69/1024) (pow.f64 x 6)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 69/1024 (pow.f64 x 6)))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 6) 3) 328509/1073741824))
(expm1.f64 (log1p.f64 (*.f64 69/1024 (pow.f64 x 6))))
(log1p.f64 (expm1.f64 (*.f64 69/1024 (pow.f64 x 6))))
(exp.f64 (log.f64 (*.f64 69/1024 (pow.f64 x 6))))
(exp.f64 (*.f64 (log.f64 (*.f64 69/1024 (pow.f64 x 6))) 1))
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))))
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2
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(fma.f64 (pow.f64 x 2) -1/8 2)
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1/2
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(*.f64 1 (/.f64 (fma.f64 (pow.f64 x 12) -1331/2097152 (pow.f64 (fma.f64 (pow.f64 x 2) 1/8 (*.f64 (pow.f64 x 6) 69/1024)) 3)) (fma.f64 (fma.f64 (pow.f64 x 2) 1/8 (*.f64 (pow.f64 x 6) 69/1024)) (+.f64 (fma.f64 (pow.f64 x 2) 1/8 (*.f64 (pow.f64 x 6) 69/1024)) (*.f64 (pow.f64 x 4) 11/128)) (*.f64 (pow.f64 x 8) 121/16384))))
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(/.f64 (+.f64 (pow.f64 (fma.f64 -11/128 (pow.f64 x 4) (*.f64 69/1024 (pow.f64 x 6))) 3) (*.f64 (pow.f64 x 6) 1/512)) (+.f64 (*.f64 (fma.f64 -11/128 (pow.f64 x 4) (*.f64 69/1024 (pow.f64 x 6))) (fma.f64 -11/128 (pow.f64 x 4) (*.f64 69/1024 (pow.f64 x 6)))) (-.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (fma.f64 -11/128 (pow.f64 x 4) (*.f64 69/1024 (pow.f64 x 6))) (*.f64 1/8 (pow.f64 x 2))))))
(/.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/512) (pow.f64 (fma.f64 -11/128 (pow.f64 x 4) (*.f64 (pow.f64 x 6) 69/1024)) 3)) (fma.f64 (fma.f64 -11/128 (pow.f64 x 4) (*.f64 (pow.f64 x 6) 69/1024)) (fma.f64 -11/128 (pow.f64 x 4) (*.f64 (pow.f64 x 6) 69/1024)) (-.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (*.f64 (pow.f64 x 2) 1/8) (fma.f64 -11/128 (pow.f64 x 4) (*.f64 (pow.f64 x 6) 69/1024))))))
(/.f64 (fma.f64 (pow.f64 x 6) 1/512 (pow.f64 (fma.f64 (pow.f64 x 4) -11/128 (*.f64 (pow.f64 x 6) 69/1024)) 3)) (fma.f64 (fma.f64 (pow.f64 x 4) -11/128 (*.f64 (pow.f64 x 6) 69/1024)) (fma.f64 (pow.f64 x 4) -11/128 (*.f64 (pow.f64 x 6) 69/1024)) (fma.f64 (pow.f64 x 4) 1/64 (*.f64 (*.f64 (pow.f64 x 2) -1/8) (fma.f64 (pow.f64 x 4) -11/128 (*.f64 (pow.f64 x 6) 69/1024))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))) 2) (*.f64 (pow.f64 x 8) 121/16384)) (-.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))) (*.f64 -11/128 (pow.f64 x 4))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 (pow.f64 x 6) 69/1024)) 2) (*.f64 (pow.f64 x 8) 121/16384)) (+.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 (pow.f64 x 6) 69/1024)) (*.f64 (pow.f64 x 4) 11/128)))
(/.f64 (+.f64 (pow.f64 (fma.f64 (pow.f64 x 2) 1/8 (*.f64 (pow.f64 x 6) 69/1024)) 2) (*.f64 (pow.f64 x 8) -121/16384)) (+.f64 (fma.f64 (pow.f64 x 2) 1/8 (*.f64 (pow.f64 x 6) 69/1024)) (*.f64 (pow.f64 x 4) 11/128)))
(/.f64 (-.f64 (*.f64 (fma.f64 -11/128 (pow.f64 x 4) (*.f64 69/1024 (pow.f64 x 6))) (fma.f64 -11/128 (pow.f64 x 4) (*.f64 69/1024 (pow.f64 x 6)))) (*.f64 (pow.f64 x 4) 1/64)) (-.f64 (fma.f64 -11/128 (pow.f64 x 4) (*.f64 69/1024 (pow.f64 x 6))) (*.f64 1/8 (pow.f64 x 2))))
(/.f64 (-.f64 (*.f64 (fma.f64 -11/128 (pow.f64 x 4) (*.f64 (pow.f64 x 6) 69/1024)) (fma.f64 -11/128 (pow.f64 x 4) (*.f64 (pow.f64 x 6) 69/1024))) (*.f64 (pow.f64 x 4) 1/64)) (+.f64 (fma.f64 -11/128 (pow.f64 x 4) (*.f64 (pow.f64 x 6) 69/1024)) (*.f64 (pow.f64 x 2) -1/8)))
(/.f64 (fma.f64 (fma.f64 (pow.f64 x 4) -11/128 (*.f64 (pow.f64 x 6) 69/1024)) (fma.f64 (pow.f64 x 4) -11/128 (*.f64 (pow.f64 x 6) 69/1024)) (*.f64 (pow.f64 x 4) -1/64)) (+.f64 (*.f64 (pow.f64 x 6) 69/1024) (fma.f64 (pow.f64 x 2) -1/8 (*.f64 (pow.f64 x 4) -11/128))))
(pow.f64 (fma.f64 -11/128 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6)))) 1)
(fma.f64 (pow.f64 x 4) -11/128 (fma.f64 1/8 (pow.f64 x 2) (*.f64 (pow.f64 x 6) 69/1024)))
(fma.f64 (pow.f64 x 4) -11/128 (fma.f64 (pow.f64 x 2) 1/8 (*.f64 (pow.f64 x 6) 69/1024)))
(pow.f64 (cbrt.f64 (fma.f64 -11/128 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))))) 3)
(fma.f64 (pow.f64 x 4) -11/128 (fma.f64 1/8 (pow.f64 x 2) (*.f64 (pow.f64 x 6) 69/1024)))
(fma.f64 (pow.f64 x 4) -11/128 (fma.f64 (pow.f64 x 2) 1/8 (*.f64 (pow.f64 x 6) 69/1024)))
(pow.f64 (pow.f64 (fma.f64 -11/128 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6)))) 3) 1/3)
(fma.f64 (pow.f64 x 4) -11/128 (fma.f64 1/8 (pow.f64 x 2) (*.f64 (pow.f64 x 6) 69/1024)))
(fma.f64 (pow.f64 x 4) -11/128 (fma.f64 (pow.f64 x 2) 1/8 (*.f64 (pow.f64 x 6) 69/1024)))
(pow.f64 (sqrt.f64 (fma.f64 -11/128 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))))) 2)
(fma.f64 (pow.f64 x 4) -11/128 (fma.f64 1/8 (pow.f64 x 2) (*.f64 (pow.f64 x 6) 69/1024)))
(fma.f64 (pow.f64 x 4) -11/128 (fma.f64 (pow.f64 x 2) 1/8 (*.f64 (pow.f64 x 6) 69/1024)))
(sqrt.f64 (pow.f64 (fma.f64 -11/128 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6)))) 2))
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 x 4) -11/128 (fma.f64 1/8 (pow.f64 x 2) (*.f64 (pow.f64 x 6) 69/1024))) 2))
(fabs.f64 (fma.f64 (pow.f64 x 4) -11/128 (fma.f64 (pow.f64 x 2) 1/8 (*.f64 (pow.f64 x 6) 69/1024))))
(log.f64 (exp.f64 (fma.f64 -11/128 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))))))
(fma.f64 (pow.f64 x 4) -11/128 (fma.f64 1/8 (pow.f64 x 2) (*.f64 (pow.f64 x 6) 69/1024)))
(fma.f64 (pow.f64 x 4) -11/128 (fma.f64 (pow.f64 x 2) 1/8 (*.f64 (pow.f64 x 6) 69/1024)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -11/128 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6)))))))
(fma.f64 (pow.f64 x 4) -11/128 (fma.f64 1/8 (pow.f64 x 2) (*.f64 (pow.f64 x 6) 69/1024)))
(fma.f64 (pow.f64 x 4) -11/128 (fma.f64 (pow.f64 x 2) 1/8 (*.f64 (pow.f64 x 6) 69/1024)))
(cbrt.f64 (pow.f64 (fma.f64 -11/128 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6)))) 3))
(fma.f64 (pow.f64 x 4) -11/128 (fma.f64 1/8 (pow.f64 x 2) (*.f64 (pow.f64 x 6) 69/1024)))
(fma.f64 (pow.f64 x 4) -11/128 (fma.f64 (pow.f64 x 2) 1/8 (*.f64 (pow.f64 x 6) 69/1024)))
(expm1.f64 (log1p.f64 (fma.f64 -11/128 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))))))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 x 4) -11/128 (fma.f64 1/8 (pow.f64 x 2) (*.f64 (pow.f64 x 6) 69/1024)))))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 x 4) -11/128 (fma.f64 (pow.f64 x 2) 1/8 (*.f64 (pow.f64 x 6) 69/1024)))))
(log1p.f64 (expm1.f64 (fma.f64 -11/128 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))))))
(fma.f64 (pow.f64 x 4) -11/128 (fma.f64 1/8 (pow.f64 x 2) (*.f64 (pow.f64 x 6) 69/1024)))
(fma.f64 (pow.f64 x 4) -11/128 (fma.f64 (pow.f64 x 2) 1/8 (*.f64 (pow.f64 x 6) 69/1024)))
(exp.f64 (log.f64 (fma.f64 -11/128 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))))))
(fma.f64 (pow.f64 x 4) -11/128 (fma.f64 1/8 (pow.f64 x 2) (*.f64 (pow.f64 x 6) 69/1024)))
(fma.f64 (pow.f64 x 4) -11/128 (fma.f64 (pow.f64 x 2) 1/8 (*.f64 (pow.f64 x 6) 69/1024)))
(exp.f64 (*.f64 (log.f64 (fma.f64 -11/128 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))))) 1))
(fma.f64 (pow.f64 x 4) -11/128 (fma.f64 1/8 (pow.f64 x 2) (*.f64 (pow.f64 x 6) 69/1024)))
(fma.f64 (pow.f64 x 4) -11/128 (fma.f64 (pow.f64 x 2) 1/8 (*.f64 (pow.f64 x 6) 69/1024)))
(fma.f64 1 (*.f64 -11/128 (pow.f64 x 4)) (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))))
(fma.f64 (pow.f64 x 4) -11/128 (fma.f64 1/8 (pow.f64 x 2) (*.f64 (pow.f64 x 6) 69/1024)))
(fma.f64 (pow.f64 x 4) -11/128 (fma.f64 (pow.f64 x 2) 1/8 (*.f64 (pow.f64 x 6) 69/1024)))
(fma.f64 1 (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))) (*.f64 -11/128 (pow.f64 x 4)))
(fma.f64 (pow.f64 x 4) -11/128 (fma.f64 1/8 (pow.f64 x 2) (*.f64 (pow.f64 x 6) 69/1024)))
(fma.f64 (pow.f64 x 4) -11/128 (fma.f64 (pow.f64 x 2) 1/8 (*.f64 (pow.f64 x 6) 69/1024)))
(fma.f64 -11/128 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))))
(fma.f64 (pow.f64 x 4) -11/128 (fma.f64 1/8 (pow.f64 x 2) (*.f64 (pow.f64 x 6) 69/1024)))
(fma.f64 (pow.f64 x 4) -11/128 (fma.f64 (pow.f64 x 2) 1/8 (*.f64 (pow.f64 x 6) 69/1024)))
(fma.f64 (pow.f64 x 4) -11/128 (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))))
(fma.f64 (pow.f64 x 4) -11/128 (fma.f64 1/8 (pow.f64 x 2) (*.f64 (pow.f64 x 6) 69/1024)))
(fma.f64 (pow.f64 x 4) -11/128 (fma.f64 (pow.f64 x 2) 1/8 (*.f64 (pow.f64 x 6) 69/1024)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6)))) 2) (cbrt.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6)))) (*.f64 -11/128 (pow.f64 x 4)))
(fma.f64 (pow.f64 x 4) -11/128 (fma.f64 1/8 (pow.f64 x 2) (*.f64 (pow.f64 x 6) 69/1024)))
(fma.f64 (pow.f64 x 4) -11/128 (fma.f64 (pow.f64 x 2) 1/8 (*.f64 (pow.f64 x 6) 69/1024)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 121/16384)) (cbrt.f64 (*.f64 -11/128 (pow.f64 x 4))) (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 121/16384)) (cbrt.f64 (*.f64 (pow.f64 x 4) -11/128)) (fma.f64 1/8 (pow.f64 x 2) (*.f64 (pow.f64 x 6) 69/1024)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 121/16384)) (cbrt.f64 (*.f64 (pow.f64 x 4) -11/128)) (fma.f64 (pow.f64 x 2) 1/8 (*.f64 (pow.f64 x 6) 69/1024)))
(fma.f64 (sqrt.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6)))) (sqrt.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6)))) (*.f64 -11/128 (pow.f64 x 4)))
(fma.f64 (pow.f64 x 4) -11/128 (fma.f64 1/8 (pow.f64 x 2) (*.f64 (pow.f64 x 6) 69/1024)))
(fma.f64 (pow.f64 x 4) -11/128 (fma.f64 (pow.f64 x 2) 1/8 (*.f64 (pow.f64 x 6) 69/1024)))
(fma.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 -11/128)) (*.f64 (pow.f64 x 2) (sqrt.f64 -11/128)) (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))))
(+.f64 (pow.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 -11/128)) 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 (pow.f64 x 6) 69/1024)))
(+.f64 (pow.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 -11/128)) 2) (fma.f64 (pow.f64 x 2) 1/8 (*.f64 (pow.f64 x 6) 69/1024)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -11/128 (pow.f64 x 4)))) 1)
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 4) -11/128)))
(pow.f64 (*.f64 -11/128 (pow.f64 x 4)) 1)
(*.f64 (pow.f64 x 4) -11/128)
(pow.f64 (cbrt.f64 (*.f64 -11/128 (pow.f64 x 4))) 3)
(*.f64 (pow.f64 x 4) -11/128)
(pow.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 -11/128)) 2)
(pow.f64 (*.f64 (pow.f64 x 12) -1331/2097152) 1/3)
(cbrt.f64 (*.f64 (pow.f64 x 12) -1331/2097152))
(sqrt.f64 (*.f64 (pow.f64 x 8) 121/16384))
(log.f64 (pow.f64 (exp.f64 -11/128) (pow.f64 x 4)))
(*.f64 (pow.f64 x 4) -11/128)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -11/128 (pow.f64 x 4)))))
(*.f64 (pow.f64 x 4) -11/128)
(cbrt.f64 (*.f64 (pow.f64 x 12) -1331/2097152))
(expm1.f64 (log1p.f64 (*.f64 -11/128 (pow.f64 x 4))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 4) -11/128)))
(log1p.f64 (expm1.f64 (*.f64 -11/128 (pow.f64 x 4))))
(*.f64 (pow.f64 x 4) -11/128)
(exp.f64 (log.f64 (*.f64 -11/128 (pow.f64 x 4))))
(*.f64 (pow.f64 x 4) -11/128)
(exp.f64 (*.f64 (log.f64 (*.f64 -11/128 (pow.f64 x 4))) 1))
(*.f64 (pow.f64 x 4) -11/128)
(-.f64 (exp.f64 (log1p.f64 (*.f64 69/1024 (pow.f64 x 6)))) 1)
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 6) 69/1024)))
(pow.f64 (*.f64 69/1024 (pow.f64 x 6)) 1)
(*.f64 (pow.f64 x 6) 69/1024)
(pow.f64 (*.f64 (pow.f64 x 2) (cbrt.f64 69/1024)) 3)
(*.f64 (pow.f64 x 6) 69/1024)
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 6) 3) 328509/1073741824) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 6) 3) 328509/1073741824))
(pow.f64 (*.f64 (pow.f64 x 3) (sqrt.f64 69/1024)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 12) 4761/1048576))
(log.f64 (pow.f64 (exp.f64 69/1024) (pow.f64 x 6)))
(*.f64 (pow.f64 x 6) 69/1024)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 69/1024 (pow.f64 x 6)))))
(*.f64 (pow.f64 x 6) 69/1024)
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 6) 3) 328509/1073741824))
(expm1.f64 (log1p.f64 (*.f64 69/1024 (pow.f64 x 6))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 6) 69/1024)))
(log1p.f64 (expm1.f64 (*.f64 69/1024 (pow.f64 x 6))))
(*.f64 (pow.f64 x 6) 69/1024)
(exp.f64 (log.f64 (*.f64 69/1024 (pow.f64 x 6))))
(*.f64 (pow.f64 x 6) 69/1024)
(exp.f64 (*.f64 (log.f64 (*.f64 69/1024 (pow.f64 x 6))) 1))
(*.f64 (pow.f64 x 6) 69/1024)

eval345.0ms (2.4%)

Compiler

Compiled 14860 to 13274 computations (10.7% saved)

prune81.0ms (0.6%)

Pruning

17 alts after pruning (12 fresh and 5 done)

PrunedKeptTotal
New4867493
Fresh055
Picked145
Done011
Total48717504
Accuracy
100.0%
Counts
504 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.3%
(fma.f64 (*.f64 x (sqrt.f64 1/8)) (*.f64 x (sqrt.f64 1/8)) (*.f64 (pow.f64 x 4) -11/128))
77.4%
(/.f64 (/.f64 (+.f64 1/8 (/.f64 -1/8 (pow.f64 (hypot.f64 1 x) 3))) (+.f64 1/4 (+.f64 (/.f64 1/4 (fma.f64 x x 1)) (/.f64 1/4 (hypot.f64 1 x))))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
77.4%
(/.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))))))
52.5%
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
51.5%
(-.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))))
27.9%
(-.f64 1 (+.f64 1 (*.f64 (pow.f64 x 2) -1/8)))
76.6%
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
51.7%
(-.f64 1 (sqrt.f64 1/2))
26.8%
(-.f64 1 1)
49.0%
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 1/8 (pow.f64 x 2))))
48.5%
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 1/8 (pow.f64 x 2)))
77.4%
(*.f64 (/.f64 (+.f64 1/4 (/.f64 (/.f64 -1/4 (hypot.f64 1 x)) (hypot.f64 1 x))) (+.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)))))))
77.4%
(*.f64 (/.f64 (+.f64 1/8 (/.f64 -1/8 (pow.f64 (hypot.f64 1 x) 3))) (+.f64 1/4 (*.f64 (/.f64 -1/2 (hypot.f64 1 x)) (-.f64 (/.f64 -1/2 (hypot.f64 1 x)) 1/2)))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
37.4%
(*.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (/.f64 1 2))
52.5%
(*.f64 (-.f64 1/2 (/.f64 1/2 x)) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
50.2%
(*.f64 1/8 (pow.f64 x 2))
76.6%
(log.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
Compiler

Compiled 491 to 436 computations (11.2% saved)

localize1.3s (8.9%)

Localize:

Found 14 expressions with local error:

NewAccuracyProgram
100.0%
(sqrt.f64 (+.f64 1/2 (/.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 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
77.4%
(-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))
100.0%
(-.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))))
99.6%
(/.f64 1/4 (*.f64 x (sqrt.f64 1/2)))
99.3%
(*.f64 x (sqrt.f64 1/2))
98.4%
(-.f64 1 (sqrt.f64 1/2))
77.4%
(-.f64 1 (+.f64 1 (*.f64 (pow.f64 x 2) -1/8)))
98.4%
(-.f64 1 (sqrt.f64 1/2))
100.0%
(/.f64 (+.f64 1/4 (/.f64 (/.f64 -1/4 (hypot.f64 1 x)) (hypot.f64 1 x))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
100.0%
(*.f64 (/.f64 (+.f64 1/4 (/.f64 (/.f64 -1/4 (hypot.f64 1 x)) (hypot.f64 1 x))) (+.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)))))))
99.9%
(/.f64 (/.f64 -1/4 (hypot.f64 1 x)) (hypot.f64 1 x))
77.5%
(+.f64 1/4 (/.f64 (/.f64 -1/4 (hypot.f64 1 x)) (hypot.f64 1 x)))
Compiler

Compiled 256 to 219 computations (14.5% saved)

series34.0ms (0.2%)

Counts
11 → 84
Calls

27 calls:

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

rewrite135.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
342×frac-times
283×log1p-expm1-u
283×expm1-log1p-u
275×add-cube-cbrt
274×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034406
1615368
Stop Event
node limit
Counts
11 → 339
Calls
Call 1
Inputs
(+.f64 1/4 (/.f64 (/.f64 -1/4 (hypot.f64 1 x)) (hypot.f64 1 x)))
(/.f64 (/.f64 -1/4 (hypot.f64 1 x)) (hypot.f64 1 x))
(*.f64 (/.f64 (+.f64 1/4 (/.f64 (/.f64 -1/4 (hypot.f64 1 x)) (hypot.f64 1 x))) (+.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 1/4 (/.f64 (/.f64 -1/4 (hypot.f64 1 x)) (hypot.f64 1 x))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(-.f64 1 (sqrt.f64 1/2))
(-.f64 1 (+.f64 1 (*.f64 (pow.f64 x 2) -1/8)))
(-.f64 1 (sqrt.f64 1/2))
(*.f64 x (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 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (+.f64 1/4 (/.f64 -1/4 (+.f64 1 (pow.f64 x 2)))))) 1)
(-.f64 (/.f64 1/16 (-.f64 1/4 (/.f64 -1/4 (+.f64 1 (pow.f64 x 2))))) (/.f64 (pow.f64 (/.f64 -1/4 (+.f64 1 (pow.f64 x 2))) 2) (-.f64 1/4 (/.f64 -1/4 (+.f64 1 (pow.f64 x 2))))))
(*.f64 1 (+.f64 1/4 (/.f64 -1/4 (+.f64 1 (pow.f64 x 2)))))
(*.f64 (+.f64 1/4 (/.f64 -1/4 (+.f64 1 (pow.f64 x 2)))) 1)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1/4 (/.f64 -1/4 (+.f64 1 (pow.f64 x 2))))) 2) (cbrt.f64 (+.f64 1/4 (/.f64 -1/4 (+.f64 1 (pow.f64 x 2))))))
(*.f64 (sqrt.f64 (+.f64 1/4 (/.f64 -1/4 (+.f64 1 (pow.f64 x 2))))) (sqrt.f64 (+.f64 1/4 (/.f64 -1/4 (+.f64 1 (pow.f64 x 2))))))
(*.f64 (+.f64 1/64 (/.f64 -1/64 (pow.f64 (+.f64 1 (pow.f64 x 2)) 3))) (/.f64 1 (+.f64 1/16 (+.f64 (pow.f64 (/.f64 -1/4 (+.f64 1 (pow.f64 x 2))) 2) (*.f64 -1/4 (/.f64 -1/4 (+.f64 1 (pow.f64 x 2))))))))
(*.f64 (-.f64 1/16 (pow.f64 (/.f64 -1/4 (+.f64 1 (pow.f64 x 2))) 2)) (/.f64 1 (-.f64 1/4 (/.f64 -1/4 (+.f64 1 (pow.f64 x 2))))))
(/.f64 1 (/.f64 (+.f64 1/16 (+.f64 (pow.f64 (/.f64 -1/4 (+.f64 1 (pow.f64 x 2))) 2) (*.f64 -1/4 (/.f64 -1/4 (+.f64 1 (pow.f64 x 2)))))) (+.f64 1/64 (/.f64 -1/64 (pow.f64 (+.f64 1 (pow.f64 x 2)) 3)))))
(/.f64 1 (/.f64 (-.f64 1/4 (/.f64 -1/4 (+.f64 1 (pow.f64 x 2)))) (-.f64 1/16 (pow.f64 (/.f64 -1/4 (+.f64 1 (pow.f64 x 2))) 2))))
(/.f64 (+.f64 1/64 (/.f64 -1/64 (pow.f64 (+.f64 1 (pow.f64 x 2)) 3))) (+.f64 1/16 (+.f64 (pow.f64 (/.f64 -1/4 (+.f64 1 (pow.f64 x 2))) 2) (*.f64 -1/4 (/.f64 -1/4 (+.f64 1 (pow.f64 x 2)))))))
(/.f64 (-.f64 1/16 (pow.f64 (/.f64 -1/4 (+.f64 1 (pow.f64 x 2))) 2)) (-.f64 1/4 (/.f64 -1/4 (+.f64 1 (pow.f64 x 2)))))
(/.f64 (neg.f64 (+.f64 1/64 (/.f64 -1/64 (pow.f64 (+.f64 1 (pow.f64 x 2)) 3)))) (neg.f64 (+.f64 1/16 (+.f64 (pow.f64 (/.f64 -1/4 (+.f64 1 (pow.f64 x 2))) 2) (*.f64 -1/4 (/.f64 -1/4 (+.f64 1 (pow.f64 x 2))))))))
(/.f64 (neg.f64 (-.f64 1/16 (pow.f64 (/.f64 -1/4 (+.f64 1 (pow.f64 x 2))) 2))) (neg.f64 (-.f64 1/4 (/.f64 -1/4 (+.f64 1 (pow.f64 x 2))))))
(/.f64 (+.f64 (/.f64 -1/64 (pow.f64 (+.f64 1 (pow.f64 x 2)) 3)) 1/64) (+.f64 (pow.f64 (/.f64 -1/4 (+.f64 1 (pow.f64 x 2))) 2) (-.f64 1/16 (*.f64 (/.f64 -1/4 (+.f64 1 (pow.f64 x 2))) 1/4))))
(/.f64 (-.f64 (pow.f64 (/.f64 -1/4 (+.f64 1 (pow.f64 x 2))) 2) 1/16) (-.f64 (/.f64 -1/4 (+.f64 1 (pow.f64 x 2))) 1/4))
(pow.f64 (+.f64 1/4 (/.f64 -1/4 (+.f64 1 (pow.f64 x 2)))) 1)
(pow.f64 (cbrt.f64 (+.f64 1/4 (/.f64 -1/4 (+.f64 1 (pow.f64 x 2))))) 3)
(pow.f64 (pow.f64 (+.f64 1/4 (/.f64 -1/4 (+.f64 1 (pow.f64 x 2)))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1/4 (/.f64 -1/4 (+.f64 1 (pow.f64 x 2))))) 2)
(sqrt.f64 (pow.f64 (+.f64 1/4 (/.f64 -1/4 (+.f64 1 (pow.f64 x 2)))) 2))
(log.f64 (exp.f64 (+.f64 1/4 (/.f64 -1/4 (+.f64 1 (pow.f64 x 2))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1/4 (/.f64 -1/4 (+.f64 1 (pow.f64 x 2)))))))
(cbrt.f64 (pow.f64 (+.f64 1/4 (/.f64 -1/4 (+.f64 1 (pow.f64 x 2)))) 3))
(expm1.f64 (log1p.f64 (+.f64 1/4 (/.f64 -1/4 (+.f64 1 (pow.f64 x 2))))))
(log1p.f64 (expm1.f64 (+.f64 1/4 (/.f64 -1/4 (+.f64 1 (pow.f64 x 2))))))
(exp.f64 (log.f64 (+.f64 1/4 (/.f64 -1/4 (+.f64 1 (pow.f64 x 2))))))
(exp.f64 (*.f64 (log.f64 (+.f64 1/4 (/.f64 -1/4 (+.f64 1 (pow.f64 x 2))))) 1))
(fma.f64 1 (/.f64 -1/4 (+.f64 1 (pow.f64 x 2))) 1/4)
(fma.f64 (/.f64 -1/4 (hypot.f64 1 x)) (/.f64 1 (hypot.f64 1 x)) 1/4)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1/4 (+.f64 1 (pow.f64 x 2)))) 2) (cbrt.f64 (/.f64 -1/4 (+.f64 1 (pow.f64 x 2)))) 1/4)
(fma.f64 (/.f64 (sqrt.f64 -1/4) (hypot.f64 1 x)) (/.f64 (sqrt.f64 -1/4) (hypot.f64 1 x)) 1/4)
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1/4 (+.f64 1 (pow.f64 x 2))))) 1)
(*.f64 -1/4 (/.f64 (/.f64 1 (hypot.f64 1 x)) (hypot.f64 1 x)))
(*.f64 -1/4 (/.f64 1 (+.f64 1 (pow.f64 x 2))))
(*.f64 1 (/.f64 -1/4 (+.f64 1 (pow.f64 x 2))))
(*.f64 (/.f64 -1/4 (hypot.f64 1 x)) (/.f64 1 (hypot.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -1/4 (+.f64 1 (pow.f64 x 2)))) 2) (cbrt.f64 (/.f64 -1/4 (+.f64 1 (pow.f64 x 2)))))
(*.f64 (/.f64 (sqrt.f64 -1/4) (hypot.f64 1 x)) (/.f64 (sqrt.f64 -1/4) (hypot.f64 1 x)))
(*.f64 (neg.f64 (/.f64 -1/4 (hypot.f64 1 x))) (/.f64 1 (neg.f64 (hypot.f64 1 x))))
(*.f64 (/.f64 -1/4 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2)) (/.f64 (/.f64 1 (hypot.f64 1 x)) (cbrt.f64 (hypot.f64 1 x))))
(*.f64 (/.f64 -1/4 (sqrt.f64 (hypot.f64 1 x))) (/.f64 (/.f64 1 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2)) (/.f64 (/.f64 -1/4 (hypot.f64 1 x)) (cbrt.f64 (hypot.f64 1 x))))
(*.f64 (/.f64 1 (sqrt.f64 (hypot.f64 1 x))) (/.f64 (/.f64 -1/4 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -1/4 (hypot.f64 1 x))) 2) 1) (/.f64 (cbrt.f64 (/.f64 -1/4 (hypot.f64 1 x))) (hypot.f64 1 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -1/4 (hypot.f64 1 x))) 2) (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2)) (cbrt.f64 (/.f64 -1/4 (+.f64 1 (pow.f64 x 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -1/4 (hypot.f64 1 x))) 2) (sqrt.f64 (hypot.f64 1 x))) (/.f64 (cbrt.f64 (/.f64 -1/4 (hypot.f64 1 x))) (sqrt.f64 (hypot.f64 1 x))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 -1/4 (hypot.f64 1 x))) 1) (/.f64 (sqrt.f64 (/.f64 -1/4 (hypot.f64 1 x))) (hypot.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 -1/4 (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2)) (/.f64 (sqrt.f64 (/.f64 -1/4 (hypot.f64 1 x))) (cbrt.f64 (hypot.f64 1 x))))
(pow.f64 (/.f64 -1/4 (+.f64 1 (pow.f64 x 2))) 1)
(pow.f64 (cbrt.f64 (/.f64 -1/4 (+.f64 1 (pow.f64 x 2)))) 3)
(pow.f64 (/.f64 -1/64 (pow.f64 (+.f64 1 (pow.f64 x 2)) 3)) 1/3)
(pow.f64 (/.f64 (sqrt.f64 -1/4) (hypot.f64 1 x)) 2)
(pow.f64 (/.f64 1 (/.f64 -1/4 (+.f64 1 (pow.f64 x 2)))) -1)
(sqrt.f64 (pow.f64 (/.f64 -1/4 (+.f64 1 (pow.f64 x 2))) 2))
(log.f64 (exp.f64 (/.f64 -1/4 (+.f64 1 (pow.f64 x 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1/4 (+.f64 1 (pow.f64 x 2))))))
(cbrt.f64 (/.f64 -1/64 (pow.f64 (+.f64 1 (pow.f64 x 2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 -1/4 (+.f64 1 (pow.f64 x 2)))))
(log1p.f64 (expm1.f64 (/.f64 -1/4 (+.f64 1 (pow.f64 x 2)))))
(exp.f64 (-.f64 (log.f64 -1/4) (log1p.f64 (pow.f64 x 2))))
(exp.f64 (*.f64 (-.f64 (log.f64 -1/4) (log1p.f64 (pow.f64 x 2))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.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))))))) 1)
(/.f64 1 (*.f64 (/.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1/4 (/.f64 -1/4 (+.f64 1 (pow.f64 x 2))))) (+.f64 1 (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 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1/4 (/.f64 -1/4 (+.f64 1 (pow.f64 x 2)))))))
(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (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 1 (/.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 1/4 (/.f64 -1/4 (+.f64 1 (pow.f64 x 2))))))
(/.f64 1 (/.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (/.f64 (+.f64 1/4 (/.f64 -1/4 (+.f64 1 (pow.f64 x 2)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(/.f64 (+.f64 1/4 (/.f64 -1/4 (+.f64 1 (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)))))))
(/.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 1/4 (/.f64 -1/4 (+.f64 1 (pow.f64 x 2)))) (+.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 (+.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 1/4 (/.f64 -1/4 (+.f64 1 (pow.f64 x 2))))))
(/.f64 -1 (*.f64 (/.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1/4 (/.f64 -1/4 (+.f64 1 (pow.f64 x 2))))) (neg.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(/.f64 -1 (*.f64 (neg.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))) (+.f64 1/4 (/.f64 -1/4 (+.f64 1 (pow.f64 x 2)))))))
(/.f64 (neg.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))))) (neg.f64 (+.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))))) (*.f64 (neg.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 (neg.f64 (+.f64 1/4 (/.f64 -1/4 (+.f64 1 (pow.f64 x 2))))) (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 (+.f64 1/4 (/.f64 -1/4 (+.f64 1 (pow.f64 x 2)))) (+.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 1/4 (/.f64 -1/4 (+.f64 1 (pow.f64 x 2)))) -1) (*.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 (neg.f64 (+.f64 1/4 (/.f64 -1/4 (+.f64 1 (pow.f64 x 2))))) 1) (*.f64 (neg.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 (neg.f64 (+.f64 1/4 (/.f64 -1/4 (+.f64 1 (pow.f64 x 2))))) -1) (*.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 (*.f64 -1 (neg.f64 (+.f64 1/4 (/.f64 -1/4 (+.f64 1 (pow.f64 x 2)))))) (*.f64 (neg.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (neg.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 (neg.f64 (/.f64 (+.f64 1/4 (/.f64 -1/4 (+.f64 1 (pow.f64 x 2)))) (+.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 (+.f64 1/4 (/.f64 -1/4 (+.f64 1 (pow.f64 x 2)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (neg.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(pow.f64 (/.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))))) 1)
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(pow.f64 (sqrt.f64 (/.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)))))) 2)
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(*.f64 (neg.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (/.f64 1 (neg.f64 (+.f64 1 (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 (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 (-.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) (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))))))))
(pow.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)))))) 1)
(pow.f64 (cbrt.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))))))) 3)
(pow.f64 (pow.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)))))) 3) 1/3)
(pow.f64 (sqrt.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))))))) 2)
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2))
(log.f64 (exp.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))))))))
(log.f64 (+.f64 1 (expm1.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)))))))))
(cbrt.f64 (pow.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)))))) 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 1/2 (/.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 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(log1p.f64 (expm1.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))))))))
(exp.f64 (-.f64 (log.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(exp.f64 (*.f64 (-.f64 (log.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 1))

simplify217.0ms (1.5%)

Algorithm
egg-herbie
Rules
952×fma-define
874×times-frac
520×distribute-rgt-in
480×distribute-lft-in
436×sub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0100025073
1291823494
Stop Event
node limit
Counts
423 → 580
Calls
Call 1
Inputs
(*.f64 1/4 (pow.f64 x 2))
(+.f64 (*.f64 -1/4 (pow.f64 x 4)) (*.f64 1/4 (pow.f64 x 2)))
(+.f64 (*.f64 -1/4 (pow.f64 x 4)) (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 1/4 (pow.f64 x 6))))
(+.f64 (*.f64 -1/4 (pow.f64 x 4)) (+.f64 (*.f64 -1/4 (pow.f64 x 8)) (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 1/4 (pow.f64 x 6)))))
1/4
(-.f64 1/4 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 1/4 (*.f64 1/4 (/.f64 1 (pow.f64 x 4)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 1/4 (*.f64 1/4 (/.f64 1 (pow.f64 x 4)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 x 6)))))
1/4
(-.f64 1/4 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 1/4 (*.f64 1/4 (/.f64 1 (pow.f64 x 4)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 1/4 (*.f64 1/4 (/.f64 1 (pow.f64 x 4)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 x 6)))))
-1/4
(-.f64 (*.f64 1/4 (pow.f64 x 2)) 1/4)
(-.f64 (+.f64 (*.f64 -1/4 (pow.f64 x 4)) (*.f64 1/4 (pow.f64 x 2))) 1/4)
(-.f64 (+.f64 (*.f64 -1/4 (pow.f64 x 4)) (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 1/4 (pow.f64 x 6)))) 1/4)
(/.f64 -1/4 (pow.f64 x 2))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 8)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(/.f64 -1/4 (pow.f64 x 2))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 8)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(*.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 (*.f64 -2 (/.f64 (*.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 (*.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (*.f64 1/8 (/.f64 1 (sqrt.f64 1/2))))) (*.f64 (pow.f64 x 2) (+.f64 1 (sqrt.f64 1/2))))) (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 2) (*.f64 (sqrt.f64 1/2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (+.f64 1 (sqrt.f64 1/2))))))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (sqrt.f64 1/2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2)))) (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2))))) x)) (+.f64 (*.f64 1/64 (/.f64 1 (*.f64 (pow.f64 x 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2))))) (+.f64 (*.f64 1/64 (/.f64 1 (*.f64 (pow.f64 x 3) (*.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 -2 (/.f64 (*.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 (*.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (*.f64 1/8 (/.f64 1 (sqrt.f64 1/2))))) (*.f64 (pow.f64 x 2) (+.f64 1 (sqrt.f64 1/2))))) (+.f64 (*.f64 -2 (/.f64 (*.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 (*.f64 1/8 (/.f64 1 (sqrt.f64 1/2))) (*.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 3))))) (*.f64 (pow.f64 x 3) (+.f64 1 (sqrt.f64 1/2))))) (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 2) (*.f64 (sqrt.f64 1/2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2))))) (+.f64 (*.f64 1/4 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (*.f64 (pow.f64 x 3) (*.f64 (sqrt.f64 1/2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2))))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (+.f64 1 (sqrt.f64 1/2))))) (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (*.f64 1/8 (/.f64 1 (sqrt.f64 1/2)))) (-.f64 (*.f64 1/64 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2)))) (+.f64 (*.f64 -2 (/.f64 (*.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 (*.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (*.f64 1/8 (/.f64 1 (sqrt.f64 1/2))))) (+.f64 1 (sqrt.f64 1/2)))) (+.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 1 (sqrt.f64 1/2)))))))))))
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
(+.f64 (/.f64 1/8 (*.f64 x (*.f64 (sqrt.f64 1/2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2)))) (+.f64 (/.f64 1/2 (*.f64 x (+.f64 1 (sqrt.f64 1/2)))) (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2))))))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 x (*.f64 (sqrt.f64 1/2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2))))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 x (+.f64 1 (sqrt.f64 1/2))))) (+.f64 (*.f64 1/64 (/.f64 1 (*.f64 (pow.f64 x 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2))))) (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2))))))) (+.f64 (*.f64 -2 (/.f64 (*.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 (*.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (*.f64 1/8 (/.f64 1 (sqrt.f64 1/2))))) (*.f64 (pow.f64 x 2) (+.f64 1 (sqrt.f64 1/2))))) (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 2) (*.f64 (sqrt.f64 1/2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (+.f64 1 (sqrt.f64 1/2))))))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.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 1 (+.f64 1 (sqrt.f64 1/2))))) (+.f64 (*.f64 -2 (/.f64 (*.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 (*.f64 1/8 (/.f64 1 (sqrt.f64 1/2))) (*.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 3))))) (+.f64 1 (sqrt.f64 1/2)))) (+.f64 (*.f64 1/4 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (*.f64 (sqrt.f64 1/2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2)))) (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (*.f64 1/8 (/.f64 1 (sqrt.f64 1/2)))) (-.f64 (*.f64 1/64 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2)))) (+.f64 (*.f64 -2 (/.f64 (*.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 (*.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (*.f64 1/8 (/.f64 1 (sqrt.f64 1/2))))) (+.f64 1 (sqrt.f64 1/2)))) (+.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 1 (sqrt.f64 1/2))))))) (pow.f64 x 3))) (+.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 1/8 (/.f64 1 (*.f64 x (*.f64 (sqrt.f64 1/2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2))))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 x (+.f64 1 (sqrt.f64 1/2))))) (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))))))) (+.f64 (*.f64 -2 (/.f64 (*.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 (*.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (*.f64 1/8 (/.f64 1 (sqrt.f64 1/2))))) (*.f64 (pow.f64 x 2) (+.f64 1 (sqrt.f64 1/2))))) (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 2) (*.f64 (sqrt.f64 1/2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (+.f64 1 (sqrt.f64 1/2))))))))
(*.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 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(/.f64 -1/4 (*.f64 x (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 1 (*.f64 x (sqrt.f64 1/2))))))
(-.f64 1 (+.f64 (sqrt.f64 1/2) (*.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 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 1 (*.f64 x (sqrt.f64 1/2))))))
(-.f64 1 (sqrt.f64 1/2))
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(/.f64 (*.f64 (neg.f64 (+.f64 1/4 (/.f64 -1/4 (+.f64 1 (pow.f64 x 2))))) -1) (*.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))))))))
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(/.f64 (neg.f64 (/.f64 (+.f64 1/4 (/.f64 -1/4 (+.f64 1 (pow.f64 x 2)))) (+.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 (+.f64 1/4 (/.f64 -1/4 (+.f64 1 (pow.f64 x 2)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (neg.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(pow.f64 (/.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))))) 1)
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(pow.f64 (sqrt.f64 (/.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)))))) 2)
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(log.f64 (exp.f64 (/.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)))))))
(log.f64 (+.f64 1 (expm1.f64 (/.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))))))))
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(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 1/4 (/.f64 -1/4 (+.f64 1 (pow.f64 x 2)))) (+.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)))
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(exp.f64 (-.f64 (log.f64 (/.f64 (+.f64 1/4 (/.f64 -1/4 (+.f64 1 (pow.f64 x 2)))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(exp.f64 (*.f64 (-.f64 (log.f64 (/.f64 (+.f64 1/4 (/.f64 -1/4 (+.f64 1 (pow.f64 x 2)))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1/4 (/.f64 -1/4 (+.f64 1 (pow.f64 x 2)))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 1)
(*.f64 1 (/.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 1/4 (/.f64 -1/4 (+.f64 1 (pow.f64 x 2)))) (/.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1/4 (/.f64 -1/4 (+.f64 1 (pow.f64 x 2))))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1/4 (/.f64 -1/4 (+.f64 1 (pow.f64 x 2))))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
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(*.f64 (/.f64 (sqrt.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)) (/.f64 (sqrt.f64 (+.f64 1/4 (/.f64 -1/4 (+.f64 1 (pow.f64 x 2))))) (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(pow.f64 (/.f64 (+.f64 1/4 (/.f64 -1/4 (+.f64 1 (pow.f64 x 2)))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1/4 (/.f64 -1/4 (+.f64 1 (pow.f64 x 2)))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1/4 (/.f64 -1/4 (+.f64 1 (pow.f64 x 2)))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1/4 (/.f64 -1/4 (+.f64 1 (pow.f64 x 2)))) (+.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 (+.f64 1 (pow.f64 x 2))))) -1)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1/4 (/.f64 -1/4 (+.f64 1 (pow.f64 x 2)))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1/4 (/.f64 -1/4 (+.f64 1 (pow.f64 x 2)))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
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(cbrt.f64 (pow.f64 (/.f64 (+.f64 1/4 (/.f64 -1/4 (+.f64 1 (pow.f64 x 2)))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1/4 (/.f64 -1/4 (+.f64 1 (pow.f64 x 2)))) 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 (+.f64 1 (pow.f64 x 2)))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1/4 (/.f64 -1/4 (+.f64 1 (pow.f64 x 2)))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(exp.f64 (log.f64 (/.f64 (+.f64 1/4 (/.f64 -1/4 (+.f64 1 (pow.f64 x 2)))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 1/4 (/.f64 -1/4 (+.f64 1 (pow.f64 x 2)))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1))
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(*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2))))
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(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 1/2)) 1/2))
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
(/.f64 -1/2 (neg.f64 (+.f64 1 (sqrt.f64 1/2))))
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(log.f64 (exp.f64 (-.f64 1 (sqrt.f64 1/2))))
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(cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3))
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(+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (neg.f64 (/.f64 (/.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 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (/.f64 (/.f64 1/2 (hypot.f64 1 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(-.f64 (exp.f64 (log1p.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)))))))) 1)
(*.f64 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 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 (pow.f64 (cbrt.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))))))) 2) (cbrt.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 (sqrt.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 (/.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))))) -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 (neg.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (/.f64 1 (neg.f64 (+.f64 1 (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 (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 (-.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) (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))))))))
(pow.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)))))) 1)
(pow.f64 (cbrt.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))))))) 3)
(pow.f64 (pow.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)))))) 3) 1/3)
(pow.f64 (sqrt.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))))))) 2)
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2))
(log.f64 (exp.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))))))))
(log.f64 (+.f64 1 (expm1.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)))))))))
(cbrt.f64 (pow.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)))))) 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 1/2 (/.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 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(log1p.f64 (expm1.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))))))))
(exp.f64 (-.f64 (log.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(exp.f64 (*.f64 (-.f64 (log.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 1))
Outputs
(*.f64 1/4 (pow.f64 x 2))
(+.f64 (*.f64 -1/4 (pow.f64 x 4)) (*.f64 1/4 (pow.f64 x 2)))
(fma.f64 -1/4 (pow.f64 x 4) (*.f64 1/4 (pow.f64 x 2)))
(+.f64 (*.f64 -1/4 (pow.f64 x 4)) (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 1/4 (pow.f64 x 6))))
(fma.f64 -1/4 (pow.f64 x 4) (*.f64 1/4 (+.f64 (pow.f64 x 2) (pow.f64 x 6))))
(fma.f64 1/4 (fma.f64 x x (pow.f64 x 6)) (*.f64 -1/4 (pow.f64 x 4)))
(+.f64 (*.f64 -1/4 (pow.f64 x 4)) (+.f64 (*.f64 -1/4 (pow.f64 x 8)) (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 1/4 (pow.f64 x 6)))))
(fma.f64 -1/4 (pow.f64 x 4) (fma.f64 -1/4 (pow.f64 x 8) (*.f64 1/4 (+.f64 (pow.f64 x 2) (pow.f64 x 6)))))
(fma.f64 -1/4 (pow.f64 x 4) (fma.f64 1/4 (fma.f64 x x (pow.f64 x 6)) (*.f64 -1/4 (pow.f64 x 8))))
1/4
(-.f64 1/4 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 1/4 (/.f64 1/4 (pow.f64 x 2)))
(+.f64 1/4 (/.f64 -1/4 (pow.f64 x 2)))
(-.f64 (+.f64 1/4 (*.f64 1/4 (/.f64 1 (pow.f64 x 4)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/4 (-.f64 (/.f64 1/4 (pow.f64 x 4)) (/.f64 1/4 (pow.f64 x 2))))
(+.f64 1/4 (+.f64 (/.f64 1/4 (pow.f64 x 4)) (/.f64 -1/4 (pow.f64 x 2))))
(-.f64 (+.f64 1/4 (*.f64 1/4 (/.f64 1 (pow.f64 x 4)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 x 6)))))
(+.f64 1/4 (-.f64 (/.f64 1/4 (pow.f64 x 4)) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 1/4 (pow.f64 x 6)))))
1/4
(-.f64 1/4 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 1/4 (/.f64 1/4 (pow.f64 x 2)))
(+.f64 1/4 (/.f64 -1/4 (pow.f64 x 2)))
(-.f64 (+.f64 1/4 (*.f64 1/4 (/.f64 1 (pow.f64 x 4)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/4 (-.f64 (/.f64 1/4 (pow.f64 x 4)) (/.f64 1/4 (pow.f64 x 2))))
(+.f64 1/4 (+.f64 (/.f64 1/4 (pow.f64 x 4)) (/.f64 -1/4 (pow.f64 x 2))))
(-.f64 (+.f64 1/4 (*.f64 1/4 (/.f64 1 (pow.f64 x 4)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 x 6)))))
(+.f64 1/4 (-.f64 (/.f64 1/4 (pow.f64 x 4)) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 1/4 (pow.f64 x 6)))))
-1/4
(-.f64 (*.f64 1/4 (pow.f64 x 2)) 1/4)
(fma.f64 1/4 (pow.f64 x 2) -1/4)
(-.f64 (+.f64 (*.f64 -1/4 (pow.f64 x 4)) (*.f64 1/4 (pow.f64 x 2))) 1/4)
(+.f64 (*.f64 -1/4 (pow.f64 x 4)) (fma.f64 1/4 (pow.f64 x 2) -1/4))
(fma.f64 -1/4 (pow.f64 x 4) (fma.f64 1/4 (pow.f64 x 2) -1/4))
(-.f64 (+.f64 (*.f64 -1/4 (pow.f64 x 4)) (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 1/4 (pow.f64 x 6)))) 1/4)
(+.f64 (fma.f64 -1/4 (pow.f64 x 4) (*.f64 1/4 (+.f64 (pow.f64 x 2) (pow.f64 x 6)))) -1/4)
(fma.f64 -1/4 (pow.f64 x 4) (fma.f64 1/4 (fma.f64 x x (pow.f64 x 6)) -1/4))
(/.f64 -1/4 (pow.f64 x 2))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1/4 (pow.f64 x 4)) (/.f64 1/4 (pow.f64 x 2)))
(+.f64 (/.f64 1/4 (pow.f64 x 4)) (/.f64 -1/4 (pow.f64 x 2)))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (/.f64 1/4 (pow.f64 x 4)) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 1/4 (pow.f64 x 6))))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 8)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 1/4 (pow.f64 x 4)) (-.f64 (/.f64 1/4 (pow.f64 x 8)) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 1/4 (pow.f64 x 6)))))
(/.f64 -1/4 (pow.f64 x 2))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1/4 (pow.f64 x 4)) (/.f64 1/4 (pow.f64 x 2)))
(+.f64 (/.f64 1/4 (pow.f64 x 4)) (/.f64 -1/4 (pow.f64 x 2)))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (/.f64 1/4 (pow.f64 x 4)) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 1/4 (pow.f64 x 6))))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 8)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 1/4 (pow.f64 x 4)) (-.f64 (/.f64 1/4 (pow.f64 x 8)) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 1/4 (pow.f64 x 6)))))
(*.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 -11/128 (pow.f64 x 4) (*.f64 (pow.f64 x 2) 1/8))
(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 (*.f64 -2 (/.f64 (*.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 (*.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (*.f64 1/8 (/.f64 1 (sqrt.f64 1/2))))) (*.f64 (pow.f64 x 2) (+.f64 1 (sqrt.f64 1/2))))) (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 2) (*.f64 (sqrt.f64 1/2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 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)))))) (fma.f64 -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)))) (/.f64 (fma.f64 1/2 (+.f64 1 (sqrt.f64 1/2)) (/.f64 1/8 (sqrt.f64 1/2))) (*.f64 (pow.f64 x 2) (+.f64 1 (sqrt.f64 1/2))))) (+.f64 (/.f64 1/8 (*.f64 (pow.f64 x 2) (*.f64 (sqrt.f64 1/2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2)))) (/.f64 1/2 (*.f64 (pow.f64 x 2) (+.f64 1 (sqrt.f64 1/2)))))))
(-.f64 (-.f64 (+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (/.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 (+.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 (fma.f64 -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)))) (/.f64 (fma.f64 1/2 (+.f64 1 (sqrt.f64 1/2)) (/.f64 1/8 (sqrt.f64 1/2))) (*.f64 (pow.f64 x 2) (+.f64 1 (sqrt.f64 1/2))))) (/.f64 1/8 (*.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 1/2)) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2)))) (/.f64 1/2 (*.f64 (pow.f64 x 2) (+.f64 1 (sqrt.f64 1/2))))))
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(/.f64 (+.f64 1/4 (/.f64 -1/4 (+.f64 (pow.f64 x 2) 1))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(/.f64 (+.f64 -1/4 (/.f64 1/4 (fma.f64 x x 1))) (+.f64 -1/2 (/.f64 -1/2 (hypot.f64 1 x))))
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(/.f64 (+.f64 1/4 (/.f64 -1/4 (+.f64 (pow.f64 x 2) 1))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(/.f64 (+.f64 -1/4 (/.f64 1/4 (fma.f64 x x 1))) (+.f64 -1/2 (/.f64 -1/2 (hypot.f64 1 x))))
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(/.f64 (+.f64 1/4 (/.f64 -1/4 (+.f64 (pow.f64 x 2) 1))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
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(/.f64 (+.f64 1/4 (/.f64 -1/4 (+.f64 (pow.f64 x 2) 1))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
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(log1p.f64 (expm1.f64 (-.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))))))
(+.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 -1/4 (*.f64 x (sqrt.f64 1/2))))
(exp.f64 (log.f64 (-.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))))))
(+.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 -1/4 (*.f64 x (sqrt.f64 1/2))))
(exp.f64 (*.f64 (log.f64 (-.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))))) 1))
(+.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 -1/4 (*.f64 x (sqrt.f64 1/2))))
(fma.f64 1 (-.f64 1 (sqrt.f64 1/2)) (neg.f64 (/.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))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 1/2))) 2) (cbrt.f64 (-.f64 1 (sqrt.f64 1/2))) (neg.f64 (/.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))))
(fma.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (sqrt.f64 1/2))) (neg.f64 (/.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 1/2 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (neg.f64 (/.f64 (/.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))))))
(-.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 (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))))))
(-.f64 (exp.f64 (log1p.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)))))))) 1)
(expm1.f64 (log1p.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))))))))
(expm1.f64 (log1p.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 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 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 (+.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))))))
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(/.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 (sqrt.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 (/.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))))))
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(*.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 (neg.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (/.f64 1 (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)))) (neg.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(/.f64 (+.f64 -1/2 (neg.f64 (/.f64 -1/2 (hypot.f64 1 x)))) (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(*.f64 (/.f64 1 (pow.f64 (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))) (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 (/.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 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 (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 (-.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 (cbrt.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 (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)))
(*.f64 (cbrt.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 (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)))
(*.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 (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 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 (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 (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)))) (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 (*.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)))) (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))
(pow.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)))))) 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 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 (cbrt.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))))))) 3)
(/.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))))))
(pow.f64 (pow.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)))))) 3) 1/3)
(/.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))))))
(pow.f64 (sqrt.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))))))) 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))))))
(/.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))))))
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1)
(/.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 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)))))
(sqrt.f64 (pow.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)))))) 2))
(fabs.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)))))))
(log.f64 (exp.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))))))
(log.f64 (+.f64 1 (expm1.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))))))
(cbrt.f64 (pow.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)))))) 3))
(/.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))))))
(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 (/.f64 1 (pow.f64 (+.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 (/.f64 1 (pow.f64 (+.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)))
(/.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))))))
(expm1.f64 (log1p.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))))))))
(expm1.f64 (log1p.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))))))))
(log1p.f64 (expm1.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))))))
(exp.f64 (-.f64 (log.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (log1p.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))))))
(exp.f64 (*.f64 (-.f64 (log.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (log1p.f64 (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 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))

eval1.5s (10.4%)

Compiler

Compiled 36233 to 32786 computations (9.5% saved)

prune212.0ms (1.5%)

Pruning

16 alts after pruning (8 fresh and 8 done)

PrunedKeptTotal
New108641090
Fresh347
Picked235
Done055
Total1091161107
Accuracy
100.0%
Counts
1107 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.3%
(fma.f64 (*.f64 x (sqrt.f64 1/8)) (*.f64 x (sqrt.f64 1/8)) (*.f64 (pow.f64 x 4) -11/128))
77.4%
(/.f64 (/.f64 (+.f64 1/4 (/.f64 (/.f64 -1/4 (hypot.f64 1 x)) (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))))))
77.4%
(/.f64 (/.f64 (+.f64 1/8 (/.f64 -1/8 (pow.f64 (hypot.f64 1 x) 3))) (+.f64 1/4 (+.f64 (/.f64 1/4 (fma.f64 x x 1)) (/.f64 1/4 (hypot.f64 1 x))))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
77.4%
(/.f64 (/.f64 (+.f64 1/8 (/.f64 -1/8 (pow.f64 (hypot.f64 1 x) 3))) (+.f64 1/4 (*.f64 (/.f64 -1/2 (hypot.f64 1 x)) (-.f64 (/.f64 -1/2 (hypot.f64 1 x)) 1/2)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
77.4%
(/.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))))))
37.4%
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2)
52.5%
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
52.3%
(-.f64 (/.f64 -1/2 (neg.f64 (+.f64 1 (sqrt.f64 1/2)))) (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))))
51.5%
(-.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))))
76.6%
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
51.7%
(-.f64 1 (sqrt.f64 1/2))
26.8%
(-.f64 1 1)
49.0%
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 1/8 (pow.f64 x 2))))
48.5%
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 1/8 (pow.f64 x 2)))
50.2%
(*.f64 1/8 (pow.f64 x 2))
76.6%
(log.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
Compiler

Compiled 415 to 367 computations (11.6% saved)

localize1.5s (10.1%)

Localize:

Found 14 expressions with local error:

NewAccuracyProgram
100.0%
(*.f64 (/.f64 -1/2 (hypot.f64 1 x)) (-.f64 (/.f64 -1/2 (hypot.f64 1 x)) 1/2))
99.9%
(/.f64 (+.f64 1/8 (/.f64 -1/8 (pow.f64 (hypot.f64 1 x) 3))) (+.f64 1/4 (*.f64 (/.f64 -1/2 (hypot.f64 1 x)) (-.f64 (/.f64 -1/2 (hypot.f64 1 x)) 1/2))))
99.7%
(/.f64 -1/8 (pow.f64 (hypot.f64 1 x) 3))
77.5%
(+.f64 1/8 (/.f64 -1/8 (pow.f64 (hypot.f64 1 x) 3)))
99.8%
(fma.f64 (*.f64 x (sqrt.f64 1/8)) (*.f64 x (sqrt.f64 1/8)) (*.f64 (pow.f64 x 4) -11/128))
99.6%
(*.f64 (pow.f64 x 4) -11/128)
99.3%
(*.f64 x (sqrt.f64 1/8))
100.0%
(-.f64 (/.f64 -1/2 (neg.f64 (+.f64 1 (sqrt.f64 1/2)))) (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))))
99.6%
(/.f64 1/4 (*.f64 x (sqrt.f64 1/2)))
99.3%
(*.f64 x (sqrt.f64 1/2))
100.0%
(/.f64 (/.f64 (+.f64 1/4 (/.f64 (/.f64 -1/4 (hypot.f64 1 x)) (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))))))
100.0%
(/.f64 (+.f64 1/4 (/.f64 (/.f64 -1/4 (hypot.f64 1 x)) (hypot.f64 1 x))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
99.9%
(/.f64 (/.f64 -1/4 (hypot.f64 1 x)) (hypot.f64 1 x))
77.5%
(+.f64 1/4 (/.f64 (/.f64 -1/4 (hypot.f64 1 x)) (hypot.f64 1 x)))
Compiler

Compiled 370 to 319 computations (13.8% saved)

series27.0ms (0.2%)

Counts
9 → 96
Calls

27 calls:

TimeVariablePointExpression
3.0ms
x
@0
(/.f64 (+.f64 1/8 (/.f64 -1/8 (pow.f64 (hypot.f64 1 x) 3))) (+.f64 1/4 (*.f64 (/.f64 -1/2 (hypot.f64 1 x)) (-.f64 (/.f64 -1/2 (hypot.f64 1 x)) 1/2))))
3.0ms
x
@-inf
(/.f64 (/.f64 (+.f64 1/4 (/.f64 (/.f64 -1/4 (hypot.f64 1 x)) (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))))))
2.0ms
x
@inf
(/.f64 (/.f64 (+.f64 1/4 (/.f64 (/.f64 -1/4 (hypot.f64 1 x)) (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))))))
1.0ms
x
@0
(+.f64 1/8 (/.f64 -1/8 (pow.f64 (hypot.f64 1 x) 3)))
1.0ms
x
@0
(-.f64 (/.f64 -1/2 (neg.f64 (+.f64 1 (sqrt.f64 1/2)))) (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))))

rewrite104.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
372×log1p-expm1-u
372×expm1-log1p-u
364×add-cube-cbrt
360×add-exp-log
360×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
047402
1808372
Stop Event
node limit
Counts
9 → 169
Calls
Call 1
Inputs
(/.f64 (/.f64 (+.f64 1/4 (/.f64 (/.f64 -1/4 (hypot.f64 1 x)) (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))))))
(-.f64 (/.f64 -1/2 (neg.f64 (+.f64 1 (sqrt.f64 1/2)))) (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))))
(*.f64 x (sqrt.f64 1/8))
(*.f64 (pow.f64 x 4) -11/128)
(fma.f64 (*.f64 x (sqrt.f64 1/8)) (*.f64 x (sqrt.f64 1/8)) (*.f64 (pow.f64 x 4) -11/128))
(+.f64 1/8 (/.f64 -1/8 (pow.f64 (hypot.f64 1 x) 3)))
(/.f64 -1/8 (pow.f64 (hypot.f64 1 x) 3))
(/.f64 (+.f64 1/8 (/.f64 -1/8 (pow.f64 (hypot.f64 1 x) 3))) (+.f64 1/4 (*.f64 (/.f64 -1/2 (hypot.f64 1 x)) (-.f64 (/.f64 -1/2 (hypot.f64 1 x)) 1/2))))
(*.f64 (/.f64 -1/2 (hypot.f64 1 x)) (-.f64 (/.f64 -1/2 (hypot.f64 1 x)) 1/2))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1/4 (/.f64 -1/4 (pow.f64 (hypot.f64 1 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))))))) 1)
(*.f64 1 (/.f64 (+.f64 1/4 (/.f64 -1/4 (pow.f64 (hypot.f64 1 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 1/4 (/.f64 -1/4 (pow.f64 (hypot.f64 1 x) 2))) (+.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 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1/4 (/.f64 -1/4 (pow.f64 (hypot.f64 1 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)))))) 2) (cbrt.f64 (/.f64 (+.f64 1/4 (/.f64 -1/4 (pow.f64 (hypot.f64 1 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 (sqrt.f64 (/.f64 (+.f64 1/4 (/.f64 -1/4 (pow.f64 (hypot.f64 1 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)))))) (sqrt.f64 (/.f64 (+.f64 1/4 (/.f64 -1/4 (pow.f64 (hypot.f64 1 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)))))))
(pow.f64 (/.f64 (+.f64 1/4 (/.f64 -1/4 (pow.f64 (hypot.f64 1 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))))) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1/4 (/.f64 -1/4 (pow.f64 (hypot.f64 1 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)))))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1/4 (/.f64 -1/4 (pow.f64 (hypot.f64 1 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))))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1/4 (/.f64 -1/4 (pow.f64 (hypot.f64 1 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)))))) 2)
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (/.f64 (+.f64 1/4 (/.f64 -1/4 (pow.f64 (hypot.f64 1 x) 2))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -1)
(log.f64 (exp.f64 (/.f64 (+.f64 1/4 (/.f64 -1/4 (pow.f64 (hypot.f64 1 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)))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1/4 (/.f64 -1/4 (pow.f64 (hypot.f64 1 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))))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1/4 (/.f64 -1/4 (pow.f64 (hypot.f64 1 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))))) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 1/4 (/.f64 -1/4 (pow.f64 (hypot.f64 1 x) 2))) (+.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 (+.f64 1/4 (/.f64 -1/4 (pow.f64 (hypot.f64 1 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)))))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1/4 (/.f64 -1/4 (pow.f64 (hypot.f64 1 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)))))))
(exp.f64 (-.f64 (log.f64 (/.f64 (+.f64 1/4 (/.f64 -1/4 (pow.f64 (hypot.f64 1 x) 2))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(exp.f64 (*.f64 (-.f64 (log.f64 (/.f64 (+.f64 1/4 (/.f64 -1/4 (pow.f64 (hypot.f64 1 x) 2))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 1))
(+.f64 (/.f64 -1/2 (+.f64 -1 (neg.f64 (sqrt.f64 1/2)))) (neg.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2)))))
(+.f64 (-.f64 (/.f64 -1/2 (+.f64 -1 (neg.f64 (sqrt.f64 1/2)))) (/.f64 1/4 (*.f64 x (sqrt.f64 1/2)))) (fma.f64 (neg.f64 (/.f64 1/2 (sqrt.f64 (*.f64 x (sqrt.f64 1/2))))) (/.f64 1/2 (sqrt.f64 (*.f64 x (sqrt.f64 1/2)))) (/.f64 1/4 (*.f64 x (sqrt.f64 1/2)))))
(+.f64 (fma.f64 1 (/.f64 -1/2 (+.f64 -1 (neg.f64 (sqrt.f64 1/2)))) (neg.f64 (*.f64 (/.f64 1 (*.f64 x (sqrt.f64 1/2))) 1/4))) (fma.f64 (neg.f64 (/.f64 1 (*.f64 x (sqrt.f64 1/2)))) 1/4 (*.f64 (/.f64 1 (*.f64 x (sqrt.f64 1/2))) 1/4)))
(+.f64 (fma.f64 1 (/.f64 -1/2 (+.f64 -1 (neg.f64 (sqrt.f64 1/2)))) (neg.f64 (*.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) 1))) (fma.f64 (neg.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2)))) 1 (*.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) 1)))
(+.f64 (fma.f64 1 (/.f64 -1/2 (+.f64 -1 (neg.f64 (sqrt.f64 1/2)))) (neg.f64 (*.f64 (cbrt.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2)))) (pow.f64 (cbrt.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2)))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))))) (pow.f64 (cbrt.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2)))) 2) (*.f64 (cbrt.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2)))) (pow.f64 (cbrt.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2)))) 2))))
(+.f64 (fma.f64 -1/2 (/.f64 1 (+.f64 -1 (neg.f64 (sqrt.f64 1/2)))) (neg.f64 (*.f64 (/.f64 1 (*.f64 x (sqrt.f64 1/2))) 1/4))) (fma.f64 (neg.f64 (/.f64 1 (*.f64 x (sqrt.f64 1/2)))) 1/4 (*.f64 (/.f64 1 (*.f64 x (sqrt.f64 1/2))) 1/4)))
(+.f64 (fma.f64 -1/2 (/.f64 1 (+.f64 -1 (neg.f64 (sqrt.f64 1/2)))) (neg.f64 (*.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) 1))) (fma.f64 (neg.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2)))) 1 (*.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) 1)))
(+.f64 (fma.f64 -1/2 (/.f64 1 (+.f64 -1 (neg.f64 (sqrt.f64 1/2)))) (neg.f64 (*.f64 (cbrt.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2)))) (pow.f64 (cbrt.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2)))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))))) (pow.f64 (cbrt.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2)))) 2) (*.f64 (cbrt.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2)))) (pow.f64 (cbrt.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2)))) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1/2 (+.f64 -1 (neg.f64 (sqrt.f64 1/2))))) 2) (cbrt.f64 (/.f64 -1/2 (+.f64 -1 (neg.f64 (sqrt.f64 1/2))))) (neg.f64 (*.f64 (/.f64 1 (*.f64 x (sqrt.f64 1/2))) 1/4))) (fma.f64 (neg.f64 (/.f64 1 (*.f64 x (sqrt.f64 1/2)))) 1/4 (*.f64 (/.f64 1 (*.f64 x (sqrt.f64 1/2))) 1/4)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1/2 (+.f64 -1 (neg.f64 (sqrt.f64 1/2))))) 2) (cbrt.f64 (/.f64 -1/2 (+.f64 -1 (neg.f64 (sqrt.f64 1/2))))) (neg.f64 (*.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) 1))) (fma.f64 (neg.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2)))) 1 (*.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1/2 (+.f64 -1 (neg.f64 (sqrt.f64 1/2))))) 2) (cbrt.f64 (/.f64 -1/2 (+.f64 -1 (neg.f64 (sqrt.f64 1/2))))) (neg.f64 (*.f64 (cbrt.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2)))) (pow.f64 (cbrt.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2)))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))))) (pow.f64 (cbrt.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2)))) 2) (*.f64 (cbrt.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2)))) (pow.f64 (cbrt.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2)))) 2))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 -1/2 (+.f64 -1 (neg.f64 (sqrt.f64 1/2))))) (sqrt.f64 (/.f64 -1/2 (+.f64 -1 (neg.f64 (sqrt.f64 1/2))))) (neg.f64 (*.f64 (/.f64 1 (*.f64 x (sqrt.f64 1/2))) 1/4))) (fma.f64 (neg.f64 (/.f64 1 (*.f64 x (sqrt.f64 1/2)))) 1/4 (*.f64 (/.f64 1 (*.f64 x (sqrt.f64 1/2))) 1/4)))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 -1/2 (+.f64 -1 (neg.f64 (sqrt.f64 1/2))))) (sqrt.f64 (/.f64 -1/2 (+.f64 -1 (neg.f64 (sqrt.f64 1/2))))) (neg.f64 (*.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) 1))) (fma.f64 (neg.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2)))) 1 (*.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) 1)))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 -1/2 (+.f64 -1 (neg.f64 (sqrt.f64 1/2))))) (sqrt.f64 (/.f64 -1/2 (+.f64 -1 (neg.f64 (sqrt.f64 1/2))))) (neg.f64 (*.f64 (cbrt.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2)))) (pow.f64 (cbrt.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2)))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))))) (pow.f64 (cbrt.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2)))) 2) (*.f64 (cbrt.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2)))) (pow.f64 (cbrt.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2)))) 2))))
(*.f64 1 (-.f64 (/.f64 -1/2 (+.f64 -1 (neg.f64 (sqrt.f64 1/2)))) (/.f64 1/4 (*.f64 x (sqrt.f64 1/2)))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 -1/2 (+.f64 -1 (neg.f64 (sqrt.f64 1/2)))) (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))))) 2) (cbrt.f64 (-.f64 (/.f64 -1/2 (+.f64 -1 (neg.f64 (sqrt.f64 1/2)))) (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))))))
(*.f64 (sqrt.f64 (-.f64 (/.f64 -1/2 (+.f64 -1 (neg.f64 (sqrt.f64 1/2)))) (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))))) (sqrt.f64 (-.f64 (/.f64 -1/2 (+.f64 -1 (neg.f64 (sqrt.f64 1/2)))) (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))))))
(/.f64 (-.f64 (*.f64 -1/2 (*.f64 x (sqrt.f64 1/2))) (*.f64 (+.f64 -1 (neg.f64 (sqrt.f64 1/2))) 1/4)) (*.f64 (+.f64 -1 (neg.f64 (sqrt.f64 1/2))) (*.f64 x (sqrt.f64 1/2))))
(/.f64 (-.f64 (pow.f64 (/.f64 -1/2 (+.f64 -1 (neg.f64 (sqrt.f64 1/2)))) 2) (pow.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) 2)) (+.f64 (/.f64 -1/2 (+.f64 -1 (neg.f64 (sqrt.f64 1/2)))) (/.f64 1/4 (*.f64 x (sqrt.f64 1/2)))))
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(log1p.f64 (expm1.f64 (*.f64 (/.f64 -1/2 (hypot.f64 1 x)) (+.f64 (/.f64 -1/2 (hypot.f64 1 x)) -1/2))))
(exp.f64 (log.f64 (*.f64 (/.f64 -1/2 (hypot.f64 1 x)) (+.f64 (/.f64 -1/2 (hypot.f64 1 x)) -1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 -1/2 (hypot.f64 1 x)) (+.f64 (/.f64 -1/2 (hypot.f64 1 x)) -1/2))) 1))

simplify257.0ms (1.8%)

Algorithm
egg-herbie
Rules
980×log-prod
714×fma-define
682×fma-neg
570×associate-*r*
562×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
063713904
1182113370
2666213370
Stop Event
node limit
Counts
265 → 357
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 1/2 (+.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 (*.f64 -2 (/.f64 (*.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 (*.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (*.f64 1/8 (/.f64 1 (sqrt.f64 1/2))))) (*.f64 (pow.f64 x 2) (+.f64 1 (sqrt.f64 1/2))))) (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 2) (*.f64 (sqrt.f64 1/2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (+.f64 1 (sqrt.f64 1/2))))))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (sqrt.f64 1/2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2)))) (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2))))) x)) (+.f64 (*.f64 1/64 (/.f64 1 (*.f64 (pow.f64 x 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2))))) (+.f64 (*.f64 1/64 (/.f64 1 (*.f64 (pow.f64 x 3) (*.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 -2 (/.f64 (*.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 (*.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (*.f64 1/8 (/.f64 1 (sqrt.f64 1/2))))) (*.f64 (pow.f64 x 2) (+.f64 1 (sqrt.f64 1/2))))) (+.f64 (*.f64 -2 (/.f64 (*.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 (*.f64 1/8 (/.f64 1 (sqrt.f64 1/2))) (*.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 3))))) (*.f64 (pow.f64 x 3) (+.f64 1 (sqrt.f64 1/2))))) (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 2) (*.f64 (sqrt.f64 1/2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2))))) (+.f64 (*.f64 1/4 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (*.f64 (pow.f64 x 3) (*.f64 (sqrt.f64 1/2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2))))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (+.f64 1 (sqrt.f64 1/2))))) (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (*.f64 1/8 (/.f64 1 (sqrt.f64 1/2)))) (-.f64 (*.f64 1/64 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2)))) (+.f64 (*.f64 -2 (/.f64 (*.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 (*.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (*.f64 1/8 (/.f64 1 (sqrt.f64 1/2))))) (+.f64 1 (sqrt.f64 1/2)))) (+.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 1 (sqrt.f64 1/2)))))))))))
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
(+.f64 (/.f64 1/8 (*.f64 x (*.f64 (sqrt.f64 1/2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2)))) (+.f64 (/.f64 1/2 (*.f64 x (+.f64 1 (sqrt.f64 1/2)))) (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2))))))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 x (*.f64 (sqrt.f64 1/2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2))))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 x (+.f64 1 (sqrt.f64 1/2))))) (+.f64 (*.f64 1/64 (/.f64 1 (*.f64 (pow.f64 x 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2))))) (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2))))))) (+.f64 (*.f64 -2 (/.f64 (*.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 (*.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (*.f64 1/8 (/.f64 1 (sqrt.f64 1/2))))) (*.f64 (pow.f64 x 2) (+.f64 1 (sqrt.f64 1/2))))) (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 2) (*.f64 (sqrt.f64 1/2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (+.f64 1 (sqrt.f64 1/2))))))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.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 1 (+.f64 1 (sqrt.f64 1/2))))) (+.f64 (*.f64 -2 (/.f64 (*.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 (*.f64 1/8 (/.f64 1 (sqrt.f64 1/2))) (*.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 3))))) (+.f64 1 (sqrt.f64 1/2)))) (+.f64 (*.f64 1/4 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (*.f64 (sqrt.f64 1/2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2)))) (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (*.f64 1/8 (/.f64 1 (sqrt.f64 1/2)))) (-.f64 (*.f64 1/64 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2)))) (+.f64 (*.f64 -2 (/.f64 (*.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 (*.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (*.f64 1/8 (/.f64 1 (sqrt.f64 1/2))))) (+.f64 1 (sqrt.f64 1/2)))) (+.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 1 (sqrt.f64 1/2))))))) (pow.f64 x 3))) (+.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 1/8 (/.f64 1 (*.f64 x (*.f64 (sqrt.f64 1/2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2))))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 x (+.f64 1 (sqrt.f64 1/2))))) (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))))))) (+.f64 (*.f64 -2 (/.f64 (*.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 (*.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (*.f64 1/8 (/.f64 1 (sqrt.f64 1/2))))) (*.f64 (pow.f64 x 2) (+.f64 1 (sqrt.f64 1/2))))) (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 2) (*.f64 (sqrt.f64 1/2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (+.f64 1 (sqrt.f64 1/2))))))))
(/.f64 -1/4 (*.f64 x (sqrt.f64 1/2)))
(-.f64 (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2)))))
(-.f64 (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2)))))
(-.f64 (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2)))))
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
(-.f64 (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2)))))
(-.f64 (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2)))))
(-.f64 (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2)))))
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
(-.f64 (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2)))))
(-.f64 (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2)))))
(-.f64 (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2)))))
(*.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 (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))
(+.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))
(+.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 3/16 (pow.f64 x 2))
(+.f64 (*.f64 -15/64 (pow.f64 x 4)) (*.f64 3/16 (pow.f64 x 2)))
(+.f64 (*.f64 -15/64 (pow.f64 x 4)) (+.f64 (*.f64 3/16 (pow.f64 x 2)) (*.f64 35/128 (pow.f64 x 6))))
(+.f64 (*.f64 -315/1024 (pow.f64 x 8)) (+.f64 (*.f64 -15/64 (pow.f64 x 4)) (+.f64 (*.f64 3/16 (pow.f64 x 2)) (*.f64 35/128 (pow.f64 x 6)))))
1/8
(-.f64 1/8 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 1/8 (*.f64 3/16 (/.f64 1 (pow.f64 x 5)))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 1/8 (*.f64 3/16 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 15/64 (/.f64 1 (pow.f64 x 7)))))
1/8
(+.f64 1/8 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 1/8 (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (*.f64 3/16 (/.f64 1 (pow.f64 x 5))))
(-.f64 (+.f64 1/8 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 15/64 (/.f64 1 (pow.f64 x 7))))) (*.f64 3/16 (/.f64 1 (pow.f64 x 5))))
-1/8
(-.f64 (*.f64 3/16 (pow.f64 x 2)) 1/8)
(-.f64 (+.f64 (*.f64 -15/64 (pow.f64 x 4)) (*.f64 3/16 (pow.f64 x 2))) 1/8)
(-.f64 (+.f64 (*.f64 -15/64 (pow.f64 x 4)) (+.f64 (*.f64 3/16 (pow.f64 x 2)) (*.f64 35/128 (pow.f64 x 6)))) 1/8)
(/.f64 -1/8 (pow.f64 x 3))
(-.f64 (*.f64 3/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (*.f64 3/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 15/64 (/.f64 1 (pow.f64 x 7))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (*.f64 3/16 (/.f64 1 (pow.f64 x 5))) (*.f64 35/128 (/.f64 1 (pow.f64 x 9)))) (+.f64 (*.f64 15/64 (/.f64 1 (pow.f64 x 7))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(/.f64 1/8 (pow.f64 x 3))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 3/16 (/.f64 1 (pow.f64 x 5))))
(-.f64 (+.f64 (*.f64 15/64 (/.f64 1 (pow.f64 x 7))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (*.f64 3/16 (/.f64 1 (pow.f64 x 5))))
(-.f64 (+.f64 (*.f64 15/64 (/.f64 1 (pow.f64 x 7))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 3/16 (/.f64 1 (pow.f64 x 5))) (*.f64 35/128 (/.f64 1 (pow.f64 x 9)))))
(*.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))))
1/2
(+.f64 1/2 (*.f64 -3/8 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (*.f64 -3/8 (pow.f64 x 2)) (*.f64 11/32 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (*.f64 -3/8 (pow.f64 x 2)) (+.f64 (*.f64 -21/64 (pow.f64 x 6)) (*.f64 11/32 (pow.f64 x 4)))))
(/.f64 1/4 x)
(+.f64 (*.f64 1/4 (/.f64 1 x)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 x))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 x))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/4 (/.f64 1 (pow.f64 x 4)))))
(/.f64 -1/4 x)
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) (*.f64 1/4 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1/4 (/.f64 -1/4 (pow.f64 (hypot.f64 1 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))))))) 1)
(*.f64 1 (/.f64 (+.f64 1/4 (/.f64 -1/4 (pow.f64 (hypot.f64 1 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 1/4 (/.f64 -1/4 (pow.f64 (hypot.f64 1 x) 2))) (+.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 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1/4 (/.f64 -1/4 (pow.f64 (hypot.f64 1 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)))))) 2) (cbrt.f64 (/.f64 (+.f64 1/4 (/.f64 -1/4 (pow.f64 (hypot.f64 1 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)))))))
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(pow.f64 (sqrt.f64 (/.f64 (+.f64 1/4 (/.f64 -1/4 (pow.f64 (hypot.f64 1 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)))))) 2)
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(pow.f64 (sqrt.f64 (-.f64 (/.f64 -1/2 (+.f64 -1 (neg.f64 (sqrt.f64 1/2)))) (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))))) 2)
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(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))))
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(log1p.f64 (expm1.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 1/8)) 2) (*.f64 (pow.f64 x 4) -11/128))))
(exp.f64 (log.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 1/8)) 2) (*.f64 (pow.f64 x 4) -11/128))))
(exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 1/8)) 2) (*.f64 (pow.f64 x 4) -11/128))) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/8 (pow.f64 (hypot.f64 1 x) -3) 1/8))) 1)
(*.f64 1 (fma.f64 -1/8 (pow.f64 (hypot.f64 1 x) -3) 1/8))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/8 (pow.f64 (hypot.f64 1 x) -3) 1/8)) 2) (cbrt.f64 (fma.f64 -1/8 (pow.f64 (hypot.f64 1 x) -3) 1/8)))
(*.f64 (sqrt.f64 (fma.f64 -1/8 (pow.f64 (hypot.f64 1 x) -3) 1/8)) (sqrt.f64 (fma.f64 -1/8 (pow.f64 (hypot.f64 1 x) -3) 1/8)))
(/.f64 (-.f64 1/64 (pow.f64 (/.f64 -1/8 (pow.f64 (hypot.f64 1 x) 3)) 2)) (-.f64 1/8 (/.f64 -1/8 (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 (+.f64 1/512 (*.f64 -1/512 (pow.f64 (pow.f64 (hypot.f64 1 x) -3) 3))) (+.f64 1/64 (-.f64 (pow.f64 (/.f64 -1/8 (pow.f64 (hypot.f64 1 x) 3)) 2) (*.f64 1/8 (/.f64 -1/8 (pow.f64 (hypot.f64 1 x) 3))))))
(pow.f64 (fma.f64 -1/8 (pow.f64 (hypot.f64 1 x) -3) 1/8) 1)
(pow.f64 (cbrt.f64 (fma.f64 -1/8 (pow.f64 (hypot.f64 1 x) -3) 1/8)) 3)
(pow.f64 (pow.f64 (fma.f64 -1/8 (pow.f64 (hypot.f64 1 x) -3) 1/8) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -1/8 (pow.f64 (hypot.f64 1 x) -3) 1/8)) 2)
(log.f64 (exp.f64 (fma.f64 -1/8 (pow.f64 (hypot.f64 1 x) -3) 1/8)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/8 (pow.f64 (hypot.f64 1 x) -3) 1/8))))
(cbrt.f64 (pow.f64 (fma.f64 -1/8 (pow.f64 (hypot.f64 1 x) -3) 1/8) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/8 (pow.f64 (hypot.f64 1 x) -3) 1/8)))
(log1p.f64 (expm1.f64 (fma.f64 -1/8 (pow.f64 (hypot.f64 1 x) -3) 1/8)))
(exp.f64 (log.f64 (fma.f64 -1/8 (pow.f64 (hypot.f64 1 x) -3) 1/8)))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/8 (pow.f64 (hypot.f64 1 x) -3) 1/8)) 1))
(fma.f64 1 (/.f64 -1/8 (pow.f64 (hypot.f64 1 x) 3)) 1/8)
(fma.f64 -1/8 (pow.f64 (hypot.f64 1 x) -3) 1/8)
(fma.f64 (pow.f64 (/.f64 -1/2 (hypot.f64 1 x)) 2) (/.f64 -1/2 (hypot.f64 1 x)) 1/8)
(fma.f64 (sqrt.f64 (/.f64 -1/8 (pow.f64 (hypot.f64 1 x) 3))) (sqrt.f64 (/.f64 -1/8 (pow.f64 (hypot.f64 1 x) 3))) 1/8)
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1/8 (pow.f64 (hypot.f64 1 x) 3)))) 1)
(*.f64 1 (/.f64 -1/8 (pow.f64 (hypot.f64 1 x) 3)))
(*.f64 -1/8 (pow.f64 (hypot.f64 1 x) -3))
(*.f64 -1/8 (pow.f64 (/.f64 1 (hypot.f64 1 x)) 3))
(*.f64 (/.f64 -1/2 (hypot.f64 1 x)) (pow.f64 (/.f64 -1/2 (hypot.f64 1 x)) 2))
(*.f64 (pow.f64 (/.f64 -1/2 (hypot.f64 1 x)) 2) (/.f64 -1/2 (hypot.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 -1/8 (pow.f64 (hypot.f64 1 x) 3))) (sqrt.f64 (/.f64 -1/8 (pow.f64 (hypot.f64 1 x) 3))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 -1/2 (hypot.f64 1 x))) 2) 3) (/.f64 -1/2 (hypot.f64 1 x)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 -1/2 (hypot.f64 1 x))) 3) (pow.f64 (sqrt.f64 (/.f64 -1/2 (hypot.f64 1 x))) 3))
(pow.f64 (/.f64 -1/8 (pow.f64 (hypot.f64 1 x) 3)) 1)
(pow.f64 (/.f64 -1/2 (hypot.f64 1 x)) 3)
(pow.f64 (*.f64 -1/512 (pow.f64 (pow.f64 (hypot.f64 1 x) -3) 3)) 1/3)
(pow.f64 (sqrt.f64 (/.f64 -1/8 (pow.f64 (hypot.f64 1 x) 3))) 2)
(pow.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 3) -1/8) -1)
(log.f64 (pow.f64 (exp.f64 -1/8) (pow.f64 (hypot.f64 1 x) -3)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1/8 (pow.f64 (hypot.f64 1 x) 3)))))
(cbrt.f64 (*.f64 -1/512 (pow.f64 (pow.f64 (hypot.f64 1 x) -3) 3)))
(expm1.f64 (log1p.f64 (/.f64 -1/8 (pow.f64 (hypot.f64 1 x) 3))))
(log1p.f64 (expm1.f64 (/.f64 -1/8 (pow.f64 (hypot.f64 1 x) 3))))
(exp.f64 (log.f64 (/.f64 -1/8 (pow.f64 (hypot.f64 1 x) 3))))
(exp.f64 (*.f64 (log.f64 (/.f64 -1/8 (pow.f64 (hypot.f64 1 x) 3))) 1))
(exp.f64 (*.f64 (log.f64 (/.f64 -1/2 (hypot.f64 1 x))) 3))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 -1/8 (pow.f64 (hypot.f64 1 x) -3) 1/8) (fma.f64 (/.f64 -1/2 (hypot.f64 1 x)) (+.f64 (/.f64 -1/2 (hypot.f64 1 x)) -1/2) 1/4)))) 1)
(*.f64 1 (/.f64 (fma.f64 -1/8 (pow.f64 (hypot.f64 1 x) -3) 1/8) (fma.f64 (/.f64 -1/2 (hypot.f64 1 x)) (+.f64 (/.f64 -1/2 (hypot.f64 1 x)) -1/2) 1/4)))
(*.f64 (fma.f64 -1/8 (pow.f64 (hypot.f64 1 x) -3) 1/8) (/.f64 1 (fma.f64 (/.f64 -1/2 (hypot.f64 1 x)) (+.f64 (/.f64 -1/2 (hypot.f64 1 x)) -1/2) 1/4)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/8 (pow.f64 (hypot.f64 1 x) -3) 1/8) (fma.f64 (/.f64 -1/2 (hypot.f64 1 x)) (+.f64 (/.f64 -1/2 (hypot.f64 1 x)) -1/2) 1/4))) 2) (cbrt.f64 (/.f64 (fma.f64 -1/8 (pow.f64 (hypot.f64 1 x) -3) 1/8) (fma.f64 (/.f64 -1/2 (hypot.f64 1 x)) (+.f64 (/.f64 -1/2 (hypot.f64 1 x)) -1/2) 1/4))))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 -1/8 (pow.f64 (hypot.f64 1 x) -3) 1/8) (fma.f64 (/.f64 -1/2 (hypot.f64 1 x)) (+.f64 (/.f64 -1/2 (hypot.f64 1 x)) -1/2) 1/4))) (sqrt.f64 (/.f64 (fma.f64 -1/8 (pow.f64 (hypot.f64 1 x) -3) 1/8) (fma.f64 (/.f64 -1/2 (hypot.f64 1 x)) (+.f64 (/.f64 -1/2 (hypot.f64 1 x)) -1/2) 1/4))))
(pow.f64 (/.f64 (fma.f64 -1/8 (pow.f64 (hypot.f64 1 x) -3) 1/8) (fma.f64 (/.f64 -1/2 (hypot.f64 1 x)) (+.f64 (/.f64 -1/2 (hypot.f64 1 x)) -1/2) 1/4)) 1)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/8 (pow.f64 (hypot.f64 1 x) -3) 1/8) (fma.f64 (/.f64 -1/2 (hypot.f64 1 x)) (+.f64 (/.f64 -1/2 (hypot.f64 1 x)) -1/2) 1/4))) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 -1/8 (pow.f64 (hypot.f64 1 x) -3) 1/8) (fma.f64 (/.f64 -1/2 (hypot.f64 1 x)) (+.f64 (/.f64 -1/2 (hypot.f64 1 x)) -1/2) 1/4)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 -1/8 (pow.f64 (hypot.f64 1 x) -3) 1/8) (fma.f64 (/.f64 -1/2 (hypot.f64 1 x)) (+.f64 (/.f64 -1/2 (hypot.f64 1 x)) -1/2) 1/4))) 2)
(pow.f64 (/.f64 (fma.f64 (/.f64 -1/2 (hypot.f64 1 x)) (+.f64 (/.f64 -1/2 (hypot.f64 1 x)) -1/2) 1/4) (fma.f64 -1/8 (pow.f64 (hypot.f64 1 x) -3) 1/8)) -1)
(log.f64 (exp.f64 (/.f64 (fma.f64 -1/8 (pow.f64 (hypot.f64 1 x) -3) 1/8) (fma.f64 (/.f64 -1/2 (hypot.f64 1 x)) (+.f64 (/.f64 -1/2 (hypot.f64 1 x)) -1/2) 1/4))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 -1/8 (pow.f64 (hypot.f64 1 x) -3) 1/8) (fma.f64 (/.f64 -1/2 (hypot.f64 1 x)) (+.f64 (/.f64 -1/2 (hypot.f64 1 x)) -1/2) 1/4)))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 -1/8 (pow.f64 (hypot.f64 1 x) -3) 1/8) (fma.f64 (/.f64 -1/2 (hypot.f64 1 x)) (+.f64 (/.f64 -1/2 (hypot.f64 1 x)) -1/2) 1/4)) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 -1/8 (pow.f64 (hypot.f64 1 x) -3) 1/8) 3) (pow.f64 (fma.f64 (/.f64 -1/2 (hypot.f64 1 x)) (+.f64 (/.f64 -1/2 (hypot.f64 1 x)) -1/2) 1/4) 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 -1/8 (pow.f64 (hypot.f64 1 x) -3) 1/8) (fma.f64 (/.f64 -1/2 (hypot.f64 1 x)) (+.f64 (/.f64 -1/2 (hypot.f64 1 x)) -1/2) 1/4))))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 -1/8 (pow.f64 (hypot.f64 1 x) -3) 1/8) (fma.f64 (/.f64 -1/2 (hypot.f64 1 x)) (+.f64 (/.f64 -1/2 (hypot.f64 1 x)) -1/2) 1/4))))
(exp.f64 (log.f64 (/.f64 (fma.f64 -1/8 (pow.f64 (hypot.f64 1 x) -3) 1/8) (fma.f64 (/.f64 -1/2 (hypot.f64 1 x)) (+.f64 (/.f64 -1/2 (hypot.f64 1 x)) -1/2) 1/4))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 -1/8 (pow.f64 (hypot.f64 1 x) -3) 1/8) (fma.f64 (/.f64 -1/2 (hypot.f64 1 x)) (+.f64 (/.f64 -1/2 (hypot.f64 1 x)) -1/2) 1/4))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 -1/2 (hypot.f64 1 x)) (+.f64 (/.f64 -1/2 (hypot.f64 1 x)) -1/2)))) 1)
(/.f64 (*.f64 -1/2 (+.f64 (/.f64 -1/2 (hypot.f64 1 x)) -1/2)) (hypot.f64 1 x))
(pow.f64 (*.f64 (/.f64 -1/2 (hypot.f64 1 x)) (+.f64 (/.f64 -1/2 (hypot.f64 1 x)) -1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 -1/2 (hypot.f64 1 x)) (+.f64 (/.f64 -1/2 (hypot.f64 1 x)) -1/2))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 -1/2 (hypot.f64 1 x)) (+.f64 (/.f64 -1/2 (hypot.f64 1 x)) -1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 -1/2 (hypot.f64 1 x)) (+.f64 (/.f64 -1/2 (hypot.f64 1 x)) -1/2))) 2)
(log.f64 (pow.f64 (exp.f64 (/.f64 -1/2 (hypot.f64 1 x))) (+.f64 (/.f64 -1/2 (hypot.f64 1 x)) -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 -1/2 (hypot.f64 1 x)) (+.f64 (/.f64 -1/2 (hypot.f64 1 x)) -1/2)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 -1/2 (hypot.f64 1 x)) (+.f64 (/.f64 -1/2 (hypot.f64 1 x)) -1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 -1/2 (hypot.f64 1 x)) (+.f64 (/.f64 -1/2 (hypot.f64 1 x)) -1/2))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 -1/2 (hypot.f64 1 x)) (+.f64 (/.f64 -1/2 (hypot.f64 1 x)) -1/2))))
(exp.f64 (log.f64 (*.f64 (/.f64 -1/2 (hypot.f64 1 x)) (+.f64 (/.f64 -1/2 (hypot.f64 1 x)) -1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 -1/2 (hypot.f64 1 x)) (+.f64 (/.f64 -1/2 (hypot.f64 1 x)) -1/2))) 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 1/2 (+.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 (*.f64 -2 (/.f64 (*.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 (*.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (*.f64 1/8 (/.f64 1 (sqrt.f64 1/2))))) (*.f64 (pow.f64 x 2) (+.f64 1 (sqrt.f64 1/2))))) (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 2) (*.f64 (sqrt.f64 1/2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 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)))))) (fma.f64 -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)))) (/.f64 (fma.f64 1/2 (+.f64 1 (sqrt.f64 1/2)) (/.f64 1/8 (sqrt.f64 1/2))) (*.f64 (pow.f64 x 2) (+.f64 1 (sqrt.f64 1/2))))) (+.f64 (/.f64 1/8 (*.f64 (pow.f64 x 2) (*.f64 (sqrt.f64 1/2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2)))) (/.f64 1/2 (*.f64 (pow.f64 x 2) (+.f64 1 (sqrt.f64 1/2)))))))
(-.f64 (-.f64 (+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (/.f64 (/.f64 (/.f64 1/32 (sqrt.f64 1/2)) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2)) (pow.f64 x 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)) (fma.f64 -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)))) (/.f64 (fma.f64 1/2 (+.f64 1 (sqrt.f64 1/2)) (/.f64 1/8 (sqrt.f64 1/2))) (*.f64 (pow.f64 x 2) (+.f64 1 (sqrt.f64 1/2))))) (+.f64 (/.f64 1/8 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2) (pow.f64 x 2)))) (/.f64 (/.f64 1/2 (pow.f64 x 2)) (+.f64 1 (sqrt.f64 1/2))))))
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1/2
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1/2
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1/2
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(/.f64 (+.f64 1/4 (/.f64 1/4 (hypot.f64 1 x))) (hypot.f64 1 x))
(log.f64 (pow.f64 (exp.f64 (/.f64 -1/2 (hypot.f64 1 x))) (+.f64 (/.f64 -1/2 (hypot.f64 1 x)) -1/2)))
(*.f64 (/.f64 -1/2 (hypot.f64 1 x)) (+.f64 -1/2 (/.f64 -1/2 (hypot.f64 1 x))))
(/.f64 (+.f64 1/4 (/.f64 1/4 (hypot.f64 1 x))) (hypot.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 -1/2 (hypot.f64 1 x)) (+.f64 (/.f64 -1/2 (hypot.f64 1 x)) -1/2)))))
(*.f64 (/.f64 -1/2 (hypot.f64 1 x)) (+.f64 -1/2 (/.f64 -1/2 (hypot.f64 1 x))))
(/.f64 (+.f64 1/4 (/.f64 1/4 (hypot.f64 1 x))) (hypot.f64 1 x))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 -1/2 (hypot.f64 1 x)) (+.f64 (/.f64 -1/2 (hypot.f64 1 x)) -1/2)) 3))
(*.f64 (/.f64 -1/2 (hypot.f64 1 x)) (+.f64 -1/2 (/.f64 -1/2 (hypot.f64 1 x))))
(/.f64 (+.f64 1/4 (/.f64 1/4 (hypot.f64 1 x))) (hypot.f64 1 x))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 -1/2 (hypot.f64 1 x)) (+.f64 (/.f64 -1/2 (hypot.f64 1 x)) -1/2))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 -1/2 (hypot.f64 1 x)) (+.f64 -1/2 (/.f64 -1/2 (hypot.f64 1 x))))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1/4 (/.f64 1/4 (hypot.f64 1 x))) (hypot.f64 1 x))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 -1/2 (hypot.f64 1 x)) (+.f64 (/.f64 -1/2 (hypot.f64 1 x)) -1/2))))
(*.f64 (/.f64 -1/2 (hypot.f64 1 x)) (+.f64 -1/2 (/.f64 -1/2 (hypot.f64 1 x))))
(/.f64 (+.f64 1/4 (/.f64 1/4 (hypot.f64 1 x))) (hypot.f64 1 x))
(exp.f64 (log.f64 (*.f64 (/.f64 -1/2 (hypot.f64 1 x)) (+.f64 (/.f64 -1/2 (hypot.f64 1 x)) -1/2))))
(*.f64 (/.f64 -1/2 (hypot.f64 1 x)) (+.f64 -1/2 (/.f64 -1/2 (hypot.f64 1 x))))
(/.f64 (+.f64 1/4 (/.f64 1/4 (hypot.f64 1 x))) (hypot.f64 1 x))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 -1/2 (hypot.f64 1 x)) (+.f64 (/.f64 -1/2 (hypot.f64 1 x)) -1/2))) 1))
(*.f64 (/.f64 -1/2 (hypot.f64 1 x)) (+.f64 -1/2 (/.f64 -1/2 (hypot.f64 1 x))))
(/.f64 (+.f64 1/4 (/.f64 1/4 (hypot.f64 1 x))) (hypot.f64 1 x))

eval511.0ms (3.5%)

Compiler

Compiled 21525 to 19291 computations (10.4% saved)

prune121.0ms (0.8%)

Pruning

17 alts after pruning (7 fresh and 10 done)

PrunedKeptTotal
New6115616
Fresh123
Picked325
Done088
Total61517632
Accuracy
100.0%
Counts
632 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.4%
(/.f64 (/.f64 (/.f64 (-.f64 1/64 (pow.f64 (/.f64 -1/8 (pow.f64 (hypot.f64 1 x) 3)) 2)) (-.f64 1/8 (/.f64 -1/8 (pow.f64 (hypot.f64 1 x) 3)))) (+.f64 1/4 (*.f64 (/.f64 -1/2 (hypot.f64 1 x)) (-.f64 (/.f64 -1/2 (hypot.f64 1 x)) 1/2)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
77.4%
(/.f64 (/.f64 (+.f64 1/4 (/.f64 (/.f64 -1/4 (hypot.f64 1 x)) (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))))))
77.4%
(/.f64 (/.f64 (+.f64 1/8 (/.f64 -1/8 (pow.f64 (hypot.f64 1 x) 3))) (+.f64 1/4 (pow.f64 (cbrt.f64 (*.f64 (/.f64 -1/2 (hypot.f64 1 x)) (+.f64 (/.f64 -1/2 (hypot.f64 1 x)) -1/2))) 3))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
77.4%
(/.f64 (/.f64 (+.f64 1/8 (/.f64 -1/8 (pow.f64 (hypot.f64 1 x) 3))) (+.f64 1/4 (/.f64 (+.f64 1/4 (/.f64 1/4 (hypot.f64 1 x))) (hypot.f64 1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
77.4%
(/.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))))))
37.4%
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2)
52.5%
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
51.5%
(-.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))))
76.6%
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
51.7%
(-.f64 1 (sqrt.f64 1/2))
26.8%
(-.f64 1 1)
48.2%
(+.f64 (pow.f64 (*.f64 x (sqrt.f64 1/8)) 2) (*.f64 (pow.f64 x 4) -11/128))
52.3%
(+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (/.f64 (/.f64 -1/4 x) (sqrt.f64 1/2)))
49.0%
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 1/8 (pow.f64 x 2))))
48.5%
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 1/8 (pow.f64 x 2)))
50.2%
(*.f64 1/8 (pow.f64 x 2))
76.6%
(log.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
Compiler

Compiled 821 to 729 computations (11.2% saved)

regimes94.0ms (0.6%)

Counts
28 → 2
Calls
Call 1
Inputs
(-.f64 1 1)
(-.f64 1 (sqrt.f64 1/2))
(*.f64 1/8 (pow.f64 x 2))
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
(-.f64 1 (+.f64 1 (*.f64 (pow.f64 x 2) -1/8)))
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2)
(*.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (/.f64 1 2))
(-.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 1 (sqrt.f64 1/2)) (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))))
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
(+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (/.f64 (/.f64 -1/4 x) (sqrt.f64 1/2)))
(-.f64 (/.f64 -1/2 (neg.f64 (+.f64 1 (sqrt.f64 1/2)))) (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))))
(*.f64 (-.f64 1/2 (/.f64 1/2 x)) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(+.f64 (pow.f64 (*.f64 x (sqrt.f64 1/8)) 2) (*.f64 (pow.f64 x 4) -11/128))
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 1/8 (pow.f64 x 2))))
(/.f64 (-.f64 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)))))))
(log.f64 (exp.f64 (-.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 (+.f64 1/4 (/.f64 (/.f64 -1/4 (hypot.f64 1 x)) (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))))))
(*.f64 (/.f64 (+.f64 1/4 (/.f64 (/.f64 -1/4 (hypot.f64 1 x)) (hypot.f64 1 x))) (+.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 (+.f64 1/8 (/.f64 -1/8 (pow.f64 (hypot.f64 1 x) 3))) (+.f64 1/4 (/.f64 (+.f64 1/4 (/.f64 1/4 (hypot.f64 1 x))) (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))) (+.f64 1/4 (+.f64 (/.f64 1/4 (fma.f64 x x 1)) (/.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))) (+.f64 1/4 (*.f64 (/.f64 -1/2 (hypot.f64 1 x)) (-.f64 (/.f64 -1/2 (hypot.f64 1 x)) 1/2)))) (+.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))) (+.f64 1/4 (*.f64 (/.f64 -1/2 (hypot.f64 1 x)) (-.f64 (/.f64 -1/2 (hypot.f64 1 x)) 1/2)))) (/.f64 1 (+.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))) (+.f64 1/4 (pow.f64 (cbrt.f64 (*.f64 (/.f64 -1/2 (hypot.f64 1 x)) (+.f64 (/.f64 -1/2 (hypot.f64 1 x)) -1/2))) 3))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 (/.f64 (/.f64 (-.f64 1/64 (pow.f64 (/.f64 -1/8 (pow.f64 (hypot.f64 1 x) 3)) 2)) (-.f64 1/8 (/.f64 -1/8 (pow.f64 (hypot.f64 1 x) 3)))) (+.f64 1/4 (*.f64 (/.f64 -1/2 (hypot.f64 1 x)) (-.f64 (/.f64 -1/2 (hypot.f64 1 x)) 1/2)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
Outputs
(+.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 (+.f64 1/8 (/.f64 -1/8 (pow.f64 (hypot.f64 1 x) 3))) (+.f64 1/4 (*.f64 (/.f64 -1/2 (hypot.f64 1 x)) (-.f64 (/.f64 -1/2 (hypot.f64 1 x)) 1/2)))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
Calls

7 calls:

27.0ms
x
26.0ms
(/.f64 1 (hypot.f64 1 x))
14.0ms
(hypot.f64 1 x)
7.0ms
(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
7.0ms
(-.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)

regimes88.0ms (0.6%)

Counts
25 → 2
Calls
Call 1
Inputs
(-.f64 1 1)
(-.f64 1 (sqrt.f64 1/2))
(*.f64 1/8 (pow.f64 x 2))
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
(-.f64 1 (+.f64 1 (*.f64 (pow.f64 x 2) -1/8)))
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2)
(*.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (/.f64 1 2))
(-.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 1 (sqrt.f64 1/2)) (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))))
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
(+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (/.f64 (/.f64 -1/4 x) (sqrt.f64 1/2)))
(-.f64 (/.f64 -1/2 (neg.f64 (+.f64 1 (sqrt.f64 1/2)))) (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))))
(*.f64 (-.f64 1/2 (/.f64 1/2 x)) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(+.f64 (pow.f64 (*.f64 x (sqrt.f64 1/8)) 2) (*.f64 (pow.f64 x 4) -11/128))
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 1/8 (pow.f64 x 2))))
(/.f64 (-.f64 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)))))))
(log.f64 (exp.f64 (-.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 (+.f64 1/4 (/.f64 (/.f64 -1/4 (hypot.f64 1 x)) (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))))))
(*.f64 (/.f64 (+.f64 1/4 (/.f64 (/.f64 -1/4 (hypot.f64 1 x)) (hypot.f64 1 x))) (+.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 (+.f64 1/8 (/.f64 -1/8 (pow.f64 (hypot.f64 1 x) 3))) (+.f64 1/4 (/.f64 (+.f64 1/4 (/.f64 1/4 (hypot.f64 1 x))) (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))) (+.f64 1/4 (+.f64 (/.f64 1/4 (fma.f64 x x 1)) (/.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))) (+.f64 1/4 (*.f64 (/.f64 -1/2 (hypot.f64 1 x)) (-.f64 (/.f64 -1/2 (hypot.f64 1 x)) 1/2)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
Outputs
(+.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 (+.f64 1/8 (/.f64 -1/8 (pow.f64 (hypot.f64 1 x) 3))) (+.f64 1/4 (/.f64 (+.f64 1/4 (/.f64 1/4 (hypot.f64 1 x))) (hypot.f64 1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
Calls

7 calls:

31.0ms
x
20.0ms
(/.f64 1 (hypot.f64 1 x))
11.0ms
(hypot.f64 1 x)
6.0ms
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
6.0ms
(+.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)

regimes75.0ms (0.5%)

Counts
22 → 2
Calls
Call 1
Inputs
(-.f64 1 1)
(-.f64 1 (sqrt.f64 1/2))
(*.f64 1/8 (pow.f64 x 2))
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
(-.f64 1 (+.f64 1 (*.f64 (pow.f64 x 2) -1/8)))
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2)
(*.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (/.f64 1 2))
(-.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 1 (sqrt.f64 1/2)) (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))))
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
(+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (/.f64 (/.f64 -1/4 x) (sqrt.f64 1/2)))
(-.f64 (/.f64 -1/2 (neg.f64 (+.f64 1 (sqrt.f64 1/2)))) (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))))
(*.f64 (-.f64 1/2 (/.f64 1/2 x)) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(+.f64 (pow.f64 (*.f64 x (sqrt.f64 1/8)) 2) (*.f64 (pow.f64 x 4) -11/128))
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 1/8 (pow.f64 x 2))))
(/.f64 (-.f64 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)))))))
(log.f64 (exp.f64 (-.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 (+.f64 1/4 (/.f64 (/.f64 -1/4 (hypot.f64 1 x)) (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))))))
(*.f64 (/.f64 (+.f64 1/4 (/.f64 (/.f64 -1/4 (hypot.f64 1 x)) (hypot.f64 1 x))) (+.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)))))))
Outputs
(+.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 (+.f64 1/4 (/.f64 (/.f64 -1/4 (hypot.f64 1 x)) (hypot.f64 1 x))) (+.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:

24.0ms
x
18.0ms
(/.f64 1 (hypot.f64 1 x))
10.0ms
(hypot.f64 1 x)
6.0ms
(*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))
5.0ms
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
Results
AccuracySegmentsBranch
100.0%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)

regimes72.0ms (0.5%)

Counts
21 → 2
Calls
Call 1
Inputs
(-.f64 1 1)
(-.f64 1 (sqrt.f64 1/2))
(*.f64 1/8 (pow.f64 x 2))
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
(-.f64 1 (+.f64 1 (*.f64 (pow.f64 x 2) -1/8)))
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2)
(*.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (/.f64 1 2))
(-.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 1 (sqrt.f64 1/2)) (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))))
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
(+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (/.f64 (/.f64 -1/4 x) (sqrt.f64 1/2)))
(-.f64 (/.f64 -1/2 (neg.f64 (+.f64 1 (sqrt.f64 1/2)))) (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))))
(*.f64 (-.f64 1/2 (/.f64 1/2 x)) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(+.f64 (pow.f64 (*.f64 x (sqrt.f64 1/8)) 2) (*.f64 (pow.f64 x 4) -11/128))
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 1/8 (pow.f64 x 2))))
(/.f64 (-.f64 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)))))))
(log.f64 (exp.f64 (-.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 (+.f64 1/4 (/.f64 (/.f64 -1/4 (hypot.f64 1 x)) (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))))))
Outputs
(+.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 (+.f64 1/4 (/.f64 (/.f64 -1/4 (hypot.f64 1 x)) (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))))))
Calls

7 calls:

21.0ms
x
18.0ms
(/.f64 1 (hypot.f64 1 x))
9.0ms
(hypot.f64 1 x)
6.0ms
(sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))
5.0ms
(*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))
Results
AccuracySegmentsBranch
99.9%2x
99.9%2(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
99.9%2(sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))
99.9%2(*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))
99.9%2(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
99.9%2(/.f64 1 (hypot.f64 1 x))
99.9%2(hypot.f64 1 x)
Compiler

Compiled 54 to 47 computations (13% saved)

regimes70.0ms (0.5%)

Counts
20 → 2
Calls
Call 1
Inputs
(-.f64 1 1)
(-.f64 1 (sqrt.f64 1/2))
(*.f64 1/8 (pow.f64 x 2))
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
(-.f64 1 (+.f64 1 (*.f64 (pow.f64 x 2) -1/8)))
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2)
(*.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (/.f64 1 2))
(-.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 1 (sqrt.f64 1/2)) (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))))
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
(+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (/.f64 (/.f64 -1/4 x) (sqrt.f64 1/2)))
(-.f64 (/.f64 -1/2 (neg.f64 (+.f64 1 (sqrt.f64 1/2)))) (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))))
(*.f64 (-.f64 1/2 (/.f64 1/2 x)) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(+.f64 (pow.f64 (*.f64 x (sqrt.f64 1/8)) 2) (*.f64 (pow.f64 x 4) -11/128))
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 1/8 (pow.f64 x 2))))
(/.f64 (-.f64 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)))))))
(log.f64 (exp.f64 (-.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))
Outputs
(+.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 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
17.0ms
(/.f64 1 (hypot.f64 1 x))
9.0ms
(hypot.f64 1 x)
6.0ms
(*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))
5.0ms
(sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))
Results
AccuracySegmentsBranch
99.9%2x
99.9%2(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
99.9%2(sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))
99.9%2(*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))
99.9%2(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
99.9%2(/.f64 1 (hypot.f64 1 x))
99.9%2(hypot.f64 1 x)
Compiler

Compiled 54 to 47 computations (13% saved)

regimes65.0ms (0.5%)

Counts
17 → 2
Calls
Call 1
Inputs
(-.f64 1 1)
(-.f64 1 (sqrt.f64 1/2))
(*.f64 1/8 (pow.f64 x 2))
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
(-.f64 1 (+.f64 1 (*.f64 (pow.f64 x 2) -1/8)))
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2)
(*.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (/.f64 1 2))
(-.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 1 (sqrt.f64 1/2)) (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))))
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
(+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (/.f64 (/.f64 -1/4 x) (sqrt.f64 1/2)))
(-.f64 (/.f64 -1/2 (neg.f64 (+.f64 1 (sqrt.f64 1/2)))) (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))))
(*.f64 (-.f64 1/2 (/.f64 1/2 x)) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(+.f64 (pow.f64 (*.f64 x (sqrt.f64 1/8)) 2) (*.f64 (pow.f64 x 4) -11/128))
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 1/8 (pow.f64 x 2))))
(/.f64 (-.f64 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 (*.f64 69/1024 (pow.f64 x 6)) (*.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:

19.0ms
x
15.0ms
(/.f64 1 (hypot.f64 1 x))
8.0ms
(*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))
8.0ms
(hypot.f64 1 x)
5.0ms
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
Results
AccuracySegmentsBranch
99.9%2x
99.9%2(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
99.9%2(sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))
99.9%2(*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))
99.9%2(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
99.9%2(/.f64 1 (hypot.f64 1 x))
99.9%2(hypot.f64 1 x)
Compiler

Compiled 54 to 47 computations (13% saved)

regimes60.0ms (0.4%)

Counts
16 → 2
Calls
Call 1
Inputs
(-.f64 1 1)
(-.f64 1 (sqrt.f64 1/2))
(*.f64 1/8 (pow.f64 x 2))
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
(-.f64 1 (+.f64 1 (*.f64 (pow.f64 x 2) -1/8)))
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2)
(*.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (/.f64 1 2))
(-.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 1 (sqrt.f64 1/2)) (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))))
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
(+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (/.f64 (/.f64 -1/4 x) (sqrt.f64 1/2)))
(-.f64 (/.f64 -1/2 (neg.f64 (+.f64 1 (sqrt.f64 1/2)))) (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))))
(*.f64 (-.f64 1/2 (/.f64 1/2 x)) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(+.f64 (pow.f64 (*.f64 x (sqrt.f64 1/8)) 2) (*.f64 (pow.f64 x 4) -11/128))
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 1/8 (pow.f64 x 2))))
Outputs
(+.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 1/2 (/.f64 1/2 x)) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
Calls

7 calls:

17.0ms
x
15.0ms
(/.f64 1 (hypot.f64 1 x))
7.0ms
(hypot.f64 1 x)
6.0ms
(*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))
5.0ms
(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
Results
AccuracySegmentsBranch
99.9%2x
99.9%2(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
99.9%2(sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))
99.9%2(*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))
99.9%2(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
99.9%2(/.f64 1 (hypot.f64 1 x))
99.9%2(hypot.f64 1 x)
Compiler

Compiled 54 to 47 computations (13% saved)

regimes60.0ms (0.4%)

Counts
15 → 2
Calls
Call 1
Inputs
(-.f64 1 1)
(-.f64 1 (sqrt.f64 1/2))
(*.f64 1/8 (pow.f64 x 2))
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
(-.f64 1 (+.f64 1 (*.f64 (pow.f64 x 2) -1/8)))
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2)
(*.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (/.f64 1 2))
(-.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 1 (sqrt.f64 1/2)) (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))))
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
(+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (/.f64 (/.f64 -1/4 x) (sqrt.f64 1/2)))
(-.f64 (/.f64 -1/2 (neg.f64 (+.f64 1 (sqrt.f64 1/2)))) (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))))
(*.f64 (-.f64 1/2 (/.f64 1/2 x)) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(+.f64 (pow.f64 (*.f64 x (sqrt.f64 1/8)) 2) (*.f64 (pow.f64 x 4) -11/128))
Outputs
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 1/8 (pow.f64 x 2)))
(*.f64 (-.f64 1/2 (/.f64 1/2 x)) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
Calls

7 calls:

17.0ms
x
14.0ms
(/.f64 1 (hypot.f64 1 x))
8.0ms
(hypot.f64 1 x)
6.0ms
(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
99.8%2x
99.8%2(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
99.8%2(sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))
99.8%2(*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))
99.8%2(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
99.8%2(/.f64 1 (hypot.f64 1 x))
99.8%2(hypot.f64 1 x)
Compiler

Compiled 54 to 47 computations (13% saved)

regimes58.0ms (0.4%)

Counts
13 → 2
Calls
Call 1
Inputs
(-.f64 1 1)
(-.f64 1 (sqrt.f64 1/2))
(*.f64 1/8 (pow.f64 x 2))
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
(-.f64 1 (+.f64 1 (*.f64 (pow.f64 x 2) -1/8)))
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2)
(*.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (/.f64 1 2))
(-.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 1 (sqrt.f64 1/2)) (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))))
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
(+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (/.f64 (/.f64 -1/4 x) (sqrt.f64 1/2)))
(-.f64 (/.f64 -1/2 (neg.f64 (+.f64 1 (sqrt.f64 1/2)))) (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))))
Outputs
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 1/8 (pow.f64 x 2)))
(+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (/.f64 (/.f64 -1/4 x) (sqrt.f64 1/2)))
Calls

7 calls:

14.0ms
x
12.0ms
(/.f64 1 (hypot.f64 1 x))
8.0ms
(hypot.f64 1 x)
7.0ms
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
5.0ms
(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
Results
AccuracySegmentsBranch
99.6%2x
99.6%2(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
99.6%2(sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))
99.6%2(*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))
99.6%2(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
99.6%2(/.f64 1 (hypot.f64 1 x))
99.6%2(hypot.f64 1 x)
Compiler

Compiled 54 to 47 computations (13% saved)

regimes65.0ms (0.4%)

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

28.0ms
x
12.0ms
(/.f64 1 (hypot.f64 1 x))
6.0ms
(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
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)

regimes18.0ms (0.1%)

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

12.0ms
x
5.0ms
(hypot.f64 1 x)
Results
AccuracySegmentsBranch
98.9%2x
98.9%2(hypot.f64 1 x)
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes18.0ms (0.1%)

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

2 calls:

12.0ms
x
5.0ms
(hypot.f64 1 x)
Results
AccuracySegmentsBranch
98.4%2x
98.4%2(hypot.f64 1 x)
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes9.0ms (0.1%)

Counts
3 → 2
Calls
Call 1
Inputs
(-.f64 1 1)
(-.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:

8.0ms
x
Results
AccuracySegmentsBranch
97.6%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0%)

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

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
75.2%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
(-.f64 1 1)
Outputs
(-.f64 1 1)
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
26.8%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0000000093356192
1.0006353861768773
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0000000093356192
1.0006353861768773
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0000000093356192
1.0006353861768773
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0000000093356192
1.0006353861768773
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0000000093356192
1.0006353861768773
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0000000093356192
1.0006353861768773
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0006353861768773
227738.27573945004
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0006353861768773
227738.27573945004
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0006353861768773
227738.27573945004
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0000000093356192
1.0006353861768773
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.000000000000737
1.0000000093356192
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0006353861768773
227738.27573945004
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch26.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
26.0ms
0.03565355619497613
227738.27573725453
Results
18.0ms128×256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
Compiler

Compiled 134 to 123 computations (8.2% saved)

bsearch75.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
75.0ms
2.951177767535896e-80
4.618764107469097e-77
Results
66.0ms112×1024valid
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
2.0ms1024valid
0.0ms1024valid
Compiler

Compiled 105 to 103 computations (1.9% saved)

simplify37.0ms (0.3%)

Algorithm
egg-herbie
Rules
48×+-commutative
30×*-commutative
24×sub-neg
14×neg-sub0
14×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0971640
11311640
21531640
31671640
41761640
51781640
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 (hypot.f64 1 x) 4505851427184181/4503599627370496) (+.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 (+.f64 1/8 (/.f64 -1/8 (pow.f64 (hypot.f64 1 x) 3))) (+.f64 1/4 (*.f64 (/.f64 -1/2 (hypot.f64 1 x)) (-.f64 (/.f64 -1/2 (hypot.f64 1 x)) 1/2)))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(if (<=.f64 (hypot.f64 1 x) 4505851427184181/4503599627370496) (+.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 (+.f64 1/8 (/.f64 -1/8 (pow.f64 (hypot.f64 1 x) 3))) (+.f64 1/4 (/.f64 (+.f64 1/4 (/.f64 1/4 (hypot.f64 1 x))) (hypot.f64 1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(if (<=.f64 (hypot.f64 1 x) 4505851427184181/4503599627370496) (+.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 (+.f64 1/4 (/.f64 (/.f64 -1/4 (hypot.f64 1 x)) (hypot.f64 1 x))) (+.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) 4505851427184181/4503599627370496) (+.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 (+.f64 1/4 (/.f64 (/.f64 -1/4 (hypot.f64 1 x)) (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)))))))
(if (<=.f64 (hypot.f64 1 x) 4505851427184181/4503599627370496) (+.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 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) 4505851427184181/4503599627370496) (+.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 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(if (<=.f64 (hypot.f64 1 x) 2) (+.f64 (*.f64 -11/128 (pow.f64 x 4)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 1/8 (pow.f64 x 2)))) (*.f64 (-.f64 1/2 (/.f64 1/2 x)) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(if (<=.f64 (hypot.f64 1 x) 2) (+.f64 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 1/8 (pow.f64 x 2))) (*.f64 (-.f64 1/2 (/.f64 1/2 x)) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(if (<=.f64 (hypot.f64 1 x) 2) (+.f64 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 1/8 (pow.f64 x 2))) (+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (/.f64 (/.f64 -1/4 x) (sqrt.f64 1/2))))
(if (<=.f64 (hypot.f64 1 x) 4505851427184181/4503599627370496) (+.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) 2251799824944247/2251799813685248) (*.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 6980579422424269/4503599627370496) (*.f64 1/8 (pow.f64 x 2)) (-.f64 1 (sqrt.f64 1/2)))
(if (<=.f64 x 2802961503436253/130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064) (-.f64 1 1) (-.f64 1 (sqrt.f64 1/2)))
(-.f64 1 1)
Outputs
(if (<=.f64 (hypot.f64 1 x) 4505851427184181/4503599627370496) (+.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 (+.f64 1/8 (/.f64 -1/8 (pow.f64 (hypot.f64 1 x) 3))) (+.f64 1/4 (*.f64 (/.f64 -1/2 (hypot.f64 1 x)) (-.f64 (/.f64 -1/2 (hypot.f64 1 x)) 1/2)))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(if (<=.f64 (hypot.f64 1 x) 4505851427184181/4503599627370496) (+.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 (+.f64 1/8 (/.f64 -1/8 (pow.f64 (hypot.f64 1 x) 3))) (+.f64 1/4 (/.f64 (+.f64 1/4 (/.f64 1/4 (hypot.f64 1 x))) (hypot.f64 1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(if (<=.f64 (hypot.f64 1 x) 4505851427184181/4503599627370496) (+.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 (+.f64 1/4 (/.f64 (/.f64 -1/4 (hypot.f64 1 x)) (hypot.f64 1 x))) (+.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) 4505851427184181/4503599627370496) (+.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 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (/.f64 (+.f64 1/4 (/.f64 (/.f64 -1/4 (hypot.f64 1 x)) (hypot.f64 1 x))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(if (<=.f64 (hypot.f64 1 x) 4505851427184181/4503599627370496) (+.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 (+.f64 1/4 (/.f64 (/.f64 -1/4 (hypot.f64 1 x)) (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)))))))
(if (<=.f64 (hypot.f64 1 x) 4505851427184181/4503599627370496) (+.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 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) 4505851427184181/4503599627370496) (+.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 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)))))
(if (<=.f64 (hypot.f64 1 x) 4505851427184181/4503599627370496) (+.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 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(if (<=.f64 (hypot.f64 1 x) 2) (+.f64 (*.f64 -11/128 (pow.f64 x 4)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 1/8 (pow.f64 x 2)))) (*.f64 (-.f64 1/2 (/.f64 1/2 x)) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(if (<=.f64 (hypot.f64 1 x) 2) (+.f64 (*.f64 -11/128 (pow.f64 x 4)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 1/8 (pow.f64 x 2)))) (*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (-.f64 1/2 (/.f64 1/2 x))))
(if (<=.f64 (hypot.f64 1 x) 2) (+.f64 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 1/8 (pow.f64 x 2))) (*.f64 (-.f64 1/2 (/.f64 1/2 x)) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(if (<=.f64 (hypot.f64 1 x) 2) (+.f64 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 1/8 (pow.f64 x 2))) (*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (-.f64 1/2 (/.f64 1/2 x))))
(if (<=.f64 (hypot.f64 1 x) 2) (+.f64 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 1/8 (pow.f64 x 2))) (+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (/.f64 (/.f64 -1/4 x) (sqrt.f64 1/2))))
(if (<=.f64 (hypot.f64 1 x) 4505851427184181/4503599627370496) (+.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) 2251799824944247/2251799813685248) (*.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 6980579422424269/4503599627370496) (*.f64 1/8 (pow.f64 x 2)) (-.f64 1 (sqrt.f64 1/2)))
(if (<=.f64 x 2802961503436253/130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064) (-.f64 1 1) (-.f64 1 (sqrt.f64 1/2)))
(if (<=.f64 x 2802961503436253/130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064) 0 (-.f64 1 (sqrt.f64 1/2)))
(-.f64 1 1)
0
Compiler

Compiled 519 to 448 computations (13.7% saved)

soundness2.2s (15%)

Rules
1320×times-frac
1276×unpow-prod-down
1276×unpow-prod-down
1020×log1p-expm1-u
1020×log1p-expm1-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022160
157128
295128
3158128
4242128
5300128
6328128
7338128
8342128
01358
116458
2212058
031282
1466255
26689255
079919074
1222418176
03957198
110056813
234866617
034406
1615368
063713904
1182113370
2666213370
079919074
1222418176
01358
116458
2212058
031282
1466255
26689255
079919074
1222418176
047402
1808372
063713904
1182113370
2666213370
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
saturated
Compiler

Compiled 2491 to 2233 computations (10.4% saved)

end1.0ms (0%)

preprocess329.0ms (2.3%)

Remove

(abs x)

Compiler

Compiled 1284 to 1108 computations (13.7% saved)

Profiling

Loading profile data...