Given's Rotation SVD example, simplified

Time bar (total: 14.1s)

analyze0.0ms (0%)

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

Compiled 14 to 13 computations (7.1% saved)

sample3.0s (20.9%)

Results
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Bogosity

preprocess558.0ms (3.9%)

Algorithm
egg-herbie
Rules
72×fma-def
34×sub-neg
22×+-commutative
20×associate--r+
18×associate-+l-
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
550-0-(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
00-0-x
00-0-(hypot.f64 1 x)
00-0-(/.f64 1 (hypot.f64 1 x))
00-0-1/2
00-0-(*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))
00-0-(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
00-0-1
00-0-(sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022164
150136
278136
3109136
4154136
5187136
6204136
7213136
8214136
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 (neg.f64 x)))))))
(neg.f64 (-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 (neg.f64 x))))))))
Outputs
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 (/.f64 1 (hypot.f64 1 x)) 1/2))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 (/.f64 1 (hypot.f64 1 x)) 1/2))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 (neg.f64 x)))))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 (/.f64 1 (hypot.f64 1 (neg.f64 x))) 1/2))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 (neg.f64 x))))))
(neg.f64 (-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 (neg.f64 x))))))))
(neg.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 (/.f64 1 (hypot.f64 1 (neg.f64 x))) 1/2)))))
(+.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 (neg.f64 x))))))
(+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 (neg.f64 x))))) -1)
Compiler

Compiled 115 to 100 computations (13% saved)

eval1.0ms (0%)

Compiler

Compiled 23 to 21 computations (8.7% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
80.2%
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
Compiler

Compiled 11 to 10 computations (9.1% saved)

localize152.0ms (1.1%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
100.0%
(/.f64 1/2 (hypot.f64 1 x))
80.2%
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
Compiler

Compiled 38 to 32 computations (15.8% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
1.0ms
x
@inf
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
0.0ms
x
@-inf
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
0.0ms
x
@inf
(/.f64 1/2 (hypot.f64 1 x))
0.0ms
x
@-inf
(/.f64 1/2 (hypot.f64 1 x))

rewrite320.0ms (2.3%)

Algorithm
batch-egg-rewrite
Rules
767×log1p-expm1-u
767×expm1-log1p-u
756×prod-diff
680×log-prod
430×pow-prod-down
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01348
116448
2211348
Stop Event
node limit
Counts
2 → 84
Calls
Call 1
Inputs
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(/.f64 1/2 (hypot.f64 1 x))
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 (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(*.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(*.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) (/.f64 1 (+.f64 (+.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(*.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(/.f64 1 (/.f64 (+.f64 (+.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2))))
(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) (+.f64 (+.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 (neg.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (neg.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2))) (neg.f64 (+.f64 (+.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3)) (+.f64 1 (-.f64 (pow.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2) (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(/.f64 (-.f64 1 (pow.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2)) (-.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))))) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2)
(pow.f64 (/.f64 (+.f64 (+.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2))) -1)
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1)
(sqrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2))
(log.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3))
(expm1.f64 (log1p.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(exp.f64 (log1p.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 1))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (neg.f64 (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))
(log1p.f64 (expm1.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(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 (/.f64 1/2 (hypot.f64 1 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1/2 (hypot.f64 1 x)))) (cbrt.f64 (exp.f64 (/.f64 1/2 (hypot.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1/2 (hypot.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/2 (hypot.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/2 (hypot.f64 1 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/2 (hypot.f64 1 x)))) 1)
(*.f64 1 (/.f64 1/2 (hypot.f64 1 x)))
(*.f64 1/2 (/.f64 1 (hypot.f64 1 x)))
(*.f64 (/.f64 1/2 (hypot.f64 1 x)) 1)
(*.f64 (/.f64 1/2 (hypot.f64 1 x)) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (/.f64 1/2 (hypot.f64 1 x))) (cbrt.f64 (/.f64 1/4 (fma.f64 x x 1))))
(*.f64 (cbrt.f64 (/.f64 1/4 (fma.f64 x x 1))) (cbrt.f64 (/.f64 1/2 (hypot.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1/2 (hypot.f64 1 x))) (sqrt.f64 (/.f64 1/2 (hypot.f64 1 x))))
(*.f64 -1/2 (/.f64 1 (neg.f64 (hypot.f64 1 x))))
(*.f64 (/.f64 1 (hypot.f64 1 x)) 1/2)
(*.f64 (/.f64 1 (hypot.f64 1 x)) (log.f64 (exp.f64 1/2)))
(pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 1/2 (hypot.f64 1 x))) 3)
(pow.f64 (/.f64 1/4 (fma.f64 x x 1)) 1/2)
(pow.f64 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)) 1/3)
(pow.f64 (sqrt.f64 (/.f64 1/2 (hypot.f64 1 x))) 2)
(pow.f64 (*.f64 (hypot.f64 1 x) 2) -1)
(pow.f64 (/.f64 (*.f64 (hypot.f64 1 x) 2) 1) -1)
(sqrt.f64 (/.f64 1/4 (fma.f64 x x 1)))
(log.f64 (exp.f64 (/.f64 1/2 (hypot.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/2 (hypot.f64 1 x)))))
(cbrt.f64 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 1/2 (hypot.f64 1 x))))
(exp.f64 (log.f64 (/.f64 1/2 (hypot.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 1/2 (hypot.f64 1 x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 1/2 (hypot.f64 1 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 1/2 (hypot.f64 1 x)))) 3))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 1/2 (hypot.f64 1 x))) 3) 1/3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 1/2 (hypot.f64 1 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 1/2 (hypot.f64 1 x)))) 2))
(exp.f64 (*.f64 (log.f64 (*.f64 (hypot.f64 1 x) 2)) -1))
(log1p.f64 (expm1.f64 (/.f64 1/2 (hypot.f64 1 x))))

simplify147.0ms (1%)

Algorithm
egg-herbie
Rules
1594×fma-def
1380×fma-neg
1090×associate-*l*
458×associate-/r*
382×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02924336
16854144
219913948
373883948
Stop Event
node limit
Counts
108 → 169
Calls
Call 1
Inputs
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 1/8 (pow.f64 x 2)))
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 1/8 (pow.f64 x 2))))
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (+.f64 (*.f64 -1843/32768 (pow.f64 x 8)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 1/8 (pow.f64 x 2)))))
(-.f64 1 (sqrt.f64 1/2))
(-.f64 1 (+.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2))))))
(-.f64 (+.f64 1 (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))))) (+.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2))))))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (*.f64 (pow.f64 x 3) (sqrt.f64 1/2)))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3)))))) (+.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2))))))
(-.f64 1 (sqrt.f64 1/2))
(-.f64 (+.f64 1 (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2))))) (sqrt.f64 1/2))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3)))) (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2)))))) (sqrt.f64 1/2))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2)))) (*.f64 1/2 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (*.f64 (pow.f64 x 3) (sqrt.f64 1/2))))))) (sqrt.f64 1/2))
1/2
(+.f64 1/2 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 3/16 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -5/32 (pow.f64 x 6)) (*.f64 3/16 (pow.f64 x 4)))))
(/.f64 1/2 x)
(-.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/4 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 3/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 3/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))) (+.f64 (*.f64 5/32 (/.f64 1 (pow.f64 x 7))) (*.f64 1/4 (/.f64 1 (pow.f64 x 3)))))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 3/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 5/32 (/.f64 1 (pow.f64 x 7))) (*.f64 1/4 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 3/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(+.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 (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(*.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(*.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) (/.f64 1 (+.f64 (+.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(*.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(/.f64 1 (/.f64 (+.f64 (+.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2))))
(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) (+.f64 (+.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 (neg.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (neg.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2))) (neg.f64 (+.f64 (+.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3)) (+.f64 1 (-.f64 (pow.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2) (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(/.f64 (-.f64 1 (pow.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2)) (-.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))))) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2)
(pow.f64 (/.f64 (+.f64 (+.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2))) -1)
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1)
(sqrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2))
(log.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3))
(expm1.f64 (log1p.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(exp.f64 (log1p.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 1))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (neg.f64 (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))
(log1p.f64 (expm1.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(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 (/.f64 1/2 (hypot.f64 1 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1/2 (hypot.f64 1 x)))) (cbrt.f64 (exp.f64 (/.f64 1/2 (hypot.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1/2 (hypot.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/2 (hypot.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/2 (hypot.f64 1 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/2 (hypot.f64 1 x)))) 1)
(*.f64 1 (/.f64 1/2 (hypot.f64 1 x)))
(*.f64 1/2 (/.f64 1 (hypot.f64 1 x)))
(*.f64 (/.f64 1/2 (hypot.f64 1 x)) 1)
(*.f64 (/.f64 1/2 (hypot.f64 1 x)) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (/.f64 1/2 (hypot.f64 1 x))) (cbrt.f64 (/.f64 1/4 (fma.f64 x x 1))))
(*.f64 (cbrt.f64 (/.f64 1/4 (fma.f64 x x 1))) (cbrt.f64 (/.f64 1/2 (hypot.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1/2 (hypot.f64 1 x))) (sqrt.f64 (/.f64 1/2 (hypot.f64 1 x))))
(*.f64 -1/2 (/.f64 1 (neg.f64 (hypot.f64 1 x))))
(*.f64 (/.f64 1 (hypot.f64 1 x)) 1/2)
(*.f64 (/.f64 1 (hypot.f64 1 x)) (log.f64 (exp.f64 1/2)))
(pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 1/2 (hypot.f64 1 x))) 3)
(pow.f64 (/.f64 1/4 (fma.f64 x x 1)) 1/2)
(pow.f64 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)) 1/3)
(pow.f64 (sqrt.f64 (/.f64 1/2 (hypot.f64 1 x))) 2)
(pow.f64 (*.f64 (hypot.f64 1 x) 2) -1)
(pow.f64 (/.f64 (*.f64 (hypot.f64 1 x) 2) 1) -1)
(sqrt.f64 (/.f64 1/4 (fma.f64 x x 1)))
(log.f64 (exp.f64 (/.f64 1/2 (hypot.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/2 (hypot.f64 1 x)))))
(cbrt.f64 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 1/2 (hypot.f64 1 x))))
(exp.f64 (log.f64 (/.f64 1/2 (hypot.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 1/2 (hypot.f64 1 x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 1/2 (hypot.f64 1 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 1/2 (hypot.f64 1 x)))) 3))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 1/2 (hypot.f64 1 x))) 3) 1/3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 1/2 (hypot.f64 1 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 1/2 (hypot.f64 1 x)))) 2))
(exp.f64 (*.f64 (log.f64 (*.f64 (hypot.f64 1 x) 2)) -1))
(log1p.f64 (expm1.f64 (/.f64 1/2 (hypot.f64 1 x))))
Outputs
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 1/8 (pow.f64 x 2)))
(fma.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))))
(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))))
(fma.f64 1/8 (pow.f64 x 2) (fma.f64 -11/128 (pow.f64 x 4) (*.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)))))
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(pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1)
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 3)
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2) 1/2)
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3) 1/3)
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(pow.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2)
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(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)
(*.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 3/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2)))
(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)
(*.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))))))
(sqrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(log.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(expm1.f64 (log1p.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(-.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 (log1p.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 1) 1))
(exp.f64 (log1p.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 3))
(exp.f64 (log1p.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(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 (log1p.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 2))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(log1p.f64 (expm1.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(fma.f64 1 (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)))))
(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 (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)
(-.f64 1 (*.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)))))))
(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)
(-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/2))
(fma.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 1)
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(fma.f64 (*.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)
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(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)
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(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 (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)
(-.f64 1 (*.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)))))))
(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)
(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)
(-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/2))
(+.f64 0 (/.f64 1/2 (hypot.f64 1 x)))
(/.f64 1/2 (hypot.f64 1 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1/2 (hypot.f64 1 x)))) (cbrt.f64 (exp.f64 (/.f64 1/2 (hypot.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1/2 (hypot.f64 1 x))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1/2 (hypot.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1/2 (hypot.f64 1 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1/2 (hypot.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/2 (hypot.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/2 (hypot.f64 1 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/2 (hypot.f64 1 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/2 (hypot.f64 1 x)))) 1)
(/.f64 1/2 (hypot.f64 1 x))
(*.f64 1 (/.f64 1/2 (hypot.f64 1 x)))
(/.f64 1/2 (hypot.f64 1 x))
(*.f64 1/2 (/.f64 1 (hypot.f64 1 x)))
(/.f64 1/2 (hypot.f64 1 x))
(*.f64 (/.f64 1/2 (hypot.f64 1 x)) 1)
(/.f64 1/2 (hypot.f64 1 x))
(*.f64 (/.f64 1/2 (hypot.f64 1 x)) (log.f64 (exp.f64 1)))
(/.f64 1/2 (hypot.f64 1 x))
(*.f64 (cbrt.f64 (/.f64 1/2 (hypot.f64 1 x))) (cbrt.f64 (/.f64 1/4 (fma.f64 x x 1))))
(*.f64 (cbrt.f64 (/.f64 1/4 (fma.f64 x x 1))) (cbrt.f64 (/.f64 1/2 (hypot.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 1/2 (hypot.f64 1 x))) (cbrt.f64 (/.f64 1/4 (fma.f64 x x 1))))
(*.f64 (sqrt.f64 (/.f64 1/2 (hypot.f64 1 x))) (sqrt.f64 (/.f64 1/2 (hypot.f64 1 x))))
(/.f64 1/2 (hypot.f64 1 x))
(*.f64 -1/2 (/.f64 1 (neg.f64 (hypot.f64 1 x))))
(/.f64 1/2 (hypot.f64 1 x))
(*.f64 (/.f64 1 (hypot.f64 1 x)) 1/2)
(/.f64 1/2 (hypot.f64 1 x))
(*.f64 (/.f64 1 (hypot.f64 1 x)) (log.f64 (exp.f64 1/2)))
(/.f64 1/2 (hypot.f64 1 x))
(pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 1)
(/.f64 1/2 (hypot.f64 1 x))
(pow.f64 (cbrt.f64 (/.f64 1/2 (hypot.f64 1 x))) 3)
(/.f64 1/2 (hypot.f64 1 x))
(pow.f64 (/.f64 1/4 (fma.f64 x x 1)) 1/2)
(sqrt.f64 (/.f64 1/4 (fma.f64 x x 1)))
(pow.f64 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)) 1/3)
(/.f64 1/2 (hypot.f64 1 x))
(pow.f64 (sqrt.f64 (/.f64 1/2 (hypot.f64 1 x))) 2)
(/.f64 1/2 (hypot.f64 1 x))
(pow.f64 (*.f64 (hypot.f64 1 x) 2) -1)
(/.f64 1/2 (hypot.f64 1 x))
(pow.f64 (/.f64 (*.f64 (hypot.f64 1 x) 2) 1) -1)
(/.f64 1/2 (hypot.f64 1 x))
(sqrt.f64 (/.f64 1/4 (fma.f64 x x 1)))
(log.f64 (exp.f64 (/.f64 1/2 (hypot.f64 1 x))))
(/.f64 1/2 (hypot.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/2 (hypot.f64 1 x)))))
(/.f64 1/2 (hypot.f64 1 x))
(cbrt.f64 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)))
(/.f64 1/2 (hypot.f64 1 x))
(expm1.f64 (log1p.f64 (/.f64 1/2 (hypot.f64 1 x))))
(/.f64 1/2 (hypot.f64 1 x))
(exp.f64 (log.f64 (/.f64 1/2 (hypot.f64 1 x))))
(/.f64 1/2 (hypot.f64 1 x))
(exp.f64 (*.f64 (log.f64 (/.f64 1/2 (hypot.f64 1 x))) 1))
(/.f64 1/2 (hypot.f64 1 x))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 1/2 (hypot.f64 1 x))) 1) 1))
(/.f64 1/2 (hypot.f64 1 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 1/2 (hypot.f64 1 x)))) 3))
(/.f64 1/2 (hypot.f64 1 x))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 1/2 (hypot.f64 1 x))) 3) 1/3))
(/.f64 1/2 (hypot.f64 1 x))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 1/2 (hypot.f64 1 x)))) 1/3))
(/.f64 1/2 (hypot.f64 1 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 1/2 (hypot.f64 1 x)))) 2))
(/.f64 1/2 (hypot.f64 1 x))
(exp.f64 (*.f64 (log.f64 (*.f64 (hypot.f64 1 x) 2)) -1))
(/.f64 1/2 (hypot.f64 1 x))
(log1p.f64 (expm1.f64 (/.f64 1/2 (hypot.f64 1 x))))
(/.f64 1/2 (hypot.f64 1 x))

eval188.0ms (1.3%)

Compiler

Compiled 3151 to 2829 computations (10.2% saved)

prune30.0ms (0.2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1609169
Fresh000
Picked011
Done000
Total16010170
Accuracy
99.9%
Counts
170 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
81.0%
(/.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))))))
80.2%
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
53.9%
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
53.6%
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
80.2%
(-.f64 1 (sqrt.f64 (+.f64 1/2 (sqrt.f64 (/.f64 1/4 (fma.f64 x x 1))))))
54.8%
(-.f64 1 (sqrt.f64 1/2))
45.5%
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 1/8 (pow.f64 x 2))))
45.0%
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 1/8 (pow.f64 x 2)))
81.0%
(*.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)))))))
46.9%
(*.f64 1/8 (pow.f64 x 2))
Compiler

Compiled 235 to 206 computations (12.3% saved)

localize607.0ms (4.3%)

Localize:

Found 12 expressions with local error:

NewAccuracyProgram
99.9%
(*.f64 69/1024 (pow.f64 x 6))
99.9%
(*.f64 -11/128 (pow.f64 x 4))
68.2%
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 1/8 (pow.f64 x 2))))
99.9%
(*.f64 -11/128 (pow.f64 x 4))
72.3%
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 1/8 (pow.f64 x 2)))
100.0%
(sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))
99.2%
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
98.8%
(-.f64 1 (sqrt.f64 1/2))
100.0%
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
100.0%
(/.f64 1/2 (hypot.f64 1 x))
100.0%
(+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
91.9%
(-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))
Compiler

Compiled 188 to 155 computations (17.6% saved)

series124.0ms (0.9%)

Counts
11 → 61
Calls

30 calls:

TimeVariablePointExpression
112.0ms
x
@inf
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
2.0ms
x
@inf
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
1.0ms
x
@-inf
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
1.0ms
x
@0
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
1.0ms
x
@inf
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 1/8 (pow.f64 x 2)))

rewrite116.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
362×associate-*r*
278×log1p-expm1-u
278×expm1-log1p-u
273×add-cube-cbrt
268×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
037301
1600274
Stop Event
node limit
Counts
11 → 288
Calls
Call 1
Inputs
(-.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 1 (sqrt.f64 1/2))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
(sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))
(+.f64 (*.f64 -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 1 (-.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) (cbrt.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(*.f64 (sqrt.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (sqrt.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(*.f64 (-.f64 1/8 (pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3)) (/.f64 1 (+.f64 1/4 (*.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 (+.f64 1 (pow.f64 x 2)))) (/.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(/.f64 1 (/.f64 (+.f64 1/4 (*.f64 (/.f64 1/2 (hypot.f64 1 x)) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 1/8 (pow.f64 (/.f64 1/2 (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 (pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3)) (+.f64 1/4 (*.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 (+.f64 1 (pow.f64 x 2)))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(/.f64 (neg.f64 (-.f64 1/4 (/.f64 1/4 (+.f64 1 (pow.f64 x 2))))) (neg.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
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(log.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) -11/128))
(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))))
(exp.f64 (log.f64 (*.f64 -11/128 (pow.f64 x 4))))
(exp.f64 (*.f64 (log.f64 (*.f64 -11/128 (pow.f64 x 4))) 1))
(log1p.f64 (expm1.f64 (*.f64 -11/128 (pow.f64 x 4))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 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))))
(exp.f64 (log.f64 (*.f64 69/1024 (pow.f64 x 6))))
(exp.f64 (*.f64 (log.f64 (*.f64 69/1024 (pow.f64 x 6))) 1))
(log1p.f64 (expm1.f64 (*.f64 69/1024 (pow.f64 x 6))))

simplify224.0ms (1.6%)

Algorithm
egg-herbie
Rules
682×associate-*r*
680×fma-def
602×associate-/r*
592×associate-*l*
526×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
082417640
1217416338
Stop Event
node limit
Counts
349 → 487
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))))
2
(+.f64 2 (*.f64 -1/8 (pow.f64 x 2)))
(+.f64 2 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 11/128 (pow.f64 x 4))))
(+.f64 2 (+.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 (sqrt.f64 1/2))
(+.f64 1 (+.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2))))))
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2)))))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3)))))
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 1/4 (/.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 1 (sqrt.f64 1/2))
(-.f64 (+.f64 1 (sqrt.f64 1/2)) (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2)))))
(-.f64 (+.f64 1 (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 1 (+.f64 (sqrt.f64 1/2) (*.f64 -1/2 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (*.f64 (pow.f64 x 3) (sqrt.f64 1/2)))))) (+.f64 (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3)))) (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2))))))
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 1/8 (pow.f64 x 2)))
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 1/8 (pow.f64 x 2))))
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (+.f64 (*.f64 -1843/32768 (pow.f64 x 8)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 1/8 (pow.f64 x 2)))))
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (sqrt.f64 1/2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2)))) (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2))))) x)) (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (sqrt.f64 1/2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2)))) (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2))))) x)) (+.f64 (*.f64 1/64 (/.f64 1 (*.f64 (pow.f64 x 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2))))) (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))))) (*.f64 -1/4 (/.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (sqrt.f64 1/2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2)))) (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2))))) (*.f64 (pow.f64 x 2) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (sqrt.f64 1/2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2)))) (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2))))) x)) (+.f64 (*.f64 1/64 (/.f64 1 (*.f64 (pow.f64 x 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2))))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 x 3) (+.f64 1 (sqrt.f64 1/2))))) (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2))))))) (+.f64 (*.f64 -1/4 (/.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (sqrt.f64 1/2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2)))) (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2))))) (*.f64 (pow.f64 x 2) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) (+.f64 (*.f64 1/32 (/.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (sqrt.f64 1/2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2)))) (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2))))) (*.f64 (pow.f64 x 3) (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (+.f64 1 (sqrt.f64 1/2)))))) (+.f64 (*.f64 1/4 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2)))) (*.f64 -1/4 (/.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (sqrt.f64 1/2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2)))) (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2))))) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) (*.f64 (pow.f64 x 3) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) (*.f64 1/4 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (*.f64 (pow.f64 x 3) (*.f64 (sqrt.f64 1/2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2)))))))))
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
(+.f64 (/.f64 1/8 (*.f64 x (*.f64 (sqrt.f64 1/2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2)))) (+.f64 (/.f64 1/2 (*.f64 x (+.f64 1 (sqrt.f64 1/2)))) (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2))))))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 x (*.f64 (sqrt.f64 1/2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2))))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 x (+.f64 1 (sqrt.f64 1/2))))) (+.f64 (*.f64 1/64 (/.f64 1 (*.f64 (pow.f64 x 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2))))) (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2))))))) (*.f64 -1/4 (/.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (sqrt.f64 1/2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2)))) (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2))))) (*.f64 (pow.f64 x 2) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (+.f64 (*.f64 1/32 (/.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (sqrt.f64 1/2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2)))) (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2))))) (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (+.f64 1 (sqrt.f64 1/2))))) (+.f64 (*.f64 1/4 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2)))) (*.f64 -1/4 (/.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (sqrt.f64 1/2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2)))) (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2))))) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))) (*.f64 1/4 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (*.f64 (sqrt.f64 1/2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 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 -1/4 (/.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (sqrt.f64 1/2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2)))) (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2))))) (*.f64 (pow.f64 x 2) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))))
(-.f64 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 1/128 (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/2) 5)))) (+.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 (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 1/128 (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/2) 5)))) (+.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))
(sqrt.f64 1/2)
(-.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2)))))
(-.f64 (sqrt.f64 1/2) (+.f64 (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3)))) (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2))))))
(-.f64 (sqrt.f64 1/2) (+.f64 (*.f64 1/128 (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/2) 5)))) (+.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 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2)))))
(-.f64 (sqrt.f64 1/2) (+.f64 (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3)))) (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2))))))
(-.f64 (sqrt.f64 1/2) (+.f64 (*.f64 1/128 (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/2) 5)))) (+.f64 (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3)))) (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2)))))))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 -11/128 (pow.f64 x 4))
(*.f64 -11/128 (pow.f64 x 4))
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 1/8 (pow.f64 x 2)))
(*.f64 69/1024 (pow.f64 x 6))
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 69/1024 (pow.f64 x 6)))
(*.f64 69/1024 (pow.f64 x 6))
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 69/1024 (pow.f64 x 6)))
(+.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 1 (-.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) (cbrt.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(*.f64 (sqrt.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (sqrt.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(*.f64 (-.f64 1/8 (pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3)) (/.f64 1 (+.f64 1/4 (*.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 (+.f64 1 (pow.f64 x 2)))) (/.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(/.f64 1 (/.f64 (+.f64 1/4 (*.f64 (/.f64 1/2 (hypot.f64 1 x)) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 1/8 (pow.f64 (/.f64 1/2 (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 (pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3)) (+.f64 1/4 (*.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 (+.f64 1 (pow.f64 x 2)))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(/.f64 (neg.f64 (-.f64 1/4 (/.f64 1/4 (+.f64 1 (pow.f64 x 2))))) (neg.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(/.f64 (neg.f64 (-.f64 1/8 (pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3))) (neg.f64 (+.f64 1/4 (*.f64 (/.f64 1/2 (hypot.f64 1 x)) (+.f64 1/2 (/.f64 1/2 (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)))))
(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)))))
(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))
(log1p.f64 (expm1.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 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
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(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
(-.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 (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 (*.f64 -11/128 (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 (*.f64 -11/128 (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 (*.f64 -11/128 (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 (*.f64 -11/128 (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 6) 1/512) (*.f64 (pow.f64 x 12) -1331/2097152)) (+.f64 (*.f64 (pow.f64 x 4) 1/64) (-.f64 (*.f64 (pow.f64 x 8) 121/16384) (*.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4))))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (pow.f64 x 8) 121/16384)) (-.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4))))
(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)))))
(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))
(log1p.f64 (expm1.f64 (fma.f64 -11/128 (pow.f64 x 4) (*.f64 1/8 (pow.f64 x 2)))))
(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 8) 121/16384)) (cbrt.f64 (*.f64 -11/128 (pow.f64 x 4))) (*.f64 1/8 (pow.f64 x 2)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/64)) (cbrt.f64 (*.f64 1/8 (pow.f64 x 2))) (*.f64 -11/128 (pow.f64 x 4)))
(fma.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 -11/128)) (*.f64 (pow.f64 x 2) (sqrt.f64 -11/128)) (*.f64 1/8 (pow.f64 x 2)))
(fma.f64 (*.f64 x (sqrt.f64 1/8)) (*.f64 x (sqrt.f64 1/8)) (*.f64 -11/128 (pow.f64 x 4)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -11/128 (pow.f64 x 4)))) 1)
(pow.f64 (*.f64 -11/128 (pow.f64 x 4)) 1)
(pow.f64 (cbrt.f64 (*.f64 -11/128 (pow.f64 x 4))) 3)
(pow.f64 (*.f64 (pow.f64 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 (pow.f64 x 4)) -11/128))
(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))))
(exp.f64 (log.f64 (*.f64 -11/128 (pow.f64 x 4))))
(exp.f64 (*.f64 (log.f64 (*.f64 -11/128 (pow.f64 x 4))) 1))
(log1p.f64 (expm1.f64 (*.f64 -11/128 (pow.f64 x 4))))
(-.f64 (exp.f64 (log1p.f64 (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 (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 (*.f64 (pow.f64 x 12) -1331/2097152) (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))) 3)) (/.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 (*.f64 (pow.f64 x 12) -1331/2097152) (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))) 3))))
(/.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 (*.f64 (pow.f64 x 12) -1331/2097152) (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))) 3)) (+.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 (*.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 (*.f64 (pow.f64 x 12) -1331/2097152) (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 69/1024 (pow.f64 x 6))) 3))) (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 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 (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 -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))))))
(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))
(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 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 (pow.f64 x 4)) -11/128))
(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))))
(exp.f64 (log.f64 (*.f64 -11/128 (pow.f64 x 4))))
(exp.f64 (*.f64 (log.f64 (*.f64 -11/128 (pow.f64 x 4))) 1))
(log1p.f64 (expm1.f64 (*.f64 -11/128 (pow.f64 x 4))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 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))))
(exp.f64 (log.f64 (*.f64 69/1024 (pow.f64 x 6))))
(exp.f64 (*.f64 (log.f64 (*.f64 69/1024 (pow.f64 x 6))) 1))
(log1p.f64 (expm1.f64 (*.f64 69/1024 (pow.f64 x 6))))
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)))
(fma.f64 (pow.f64 x 4) -3/16 (*.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 (pow.f64 x 4) -3/16 (fma.f64 1/4 (pow.f64 x 2) (*.f64 5/32 (pow.f64 x 6))))
(+.f64 (*.f64 -3/16 (pow.f64 x 4)) (+.f64 (*.f64 -35/256 (pow.f64 x 8)) (+.f64 (*.f64 5/32 (pow.f64 x 6)) (*.f64 1/4 (pow.f64 x 2)))))
(fma.f64 -3/16 (pow.f64 x 4) (fma.f64 -35/256 (pow.f64 x 8) (fma.f64 5/32 (pow.f64 x 6) (*.f64 1/4 (pow.f64 x 2)))))
(fma.f64 (pow.f64 x 4) -3/16 (fma.f64 -35/256 (pow.f64 x 8) (fma.f64 1/4 (pow.f64 x 2) (*.f64 5/32 (pow.f64 x 6)))))
1/2
(-.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(-.f64 1/2 (/.f64 1/2 x))
(+.f64 1/2 (/.f64 -1/2 x))
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1/2
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2
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(/.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 6) 69/1024 (*.f64 (pow.f64 x 2) 1/8)) 2) (*.f64 (pow.f64 x 8) -121/16384)) (+.f64 (*.f64 (pow.f64 x 6) 69/1024) (fma.f64 (pow.f64 x 2) 1/8 (*.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 (fma.f64 (pow.f64 x 4) -11/128 (*.f64 (pow.f64 x 6) 69/1024)) (*.f64 (pow.f64 x 2) -1/8)))
(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 6) 69/1024 (*.f64 (pow.f64 x 2) 1/8)))
(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 6) 69/1024 (*.f64 (pow.f64 x 2) 1/8)))
(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 6) 69/1024 (*.f64 (pow.f64 x 2) 1/8)))
(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 6) 69/1024 (*.f64 (pow.f64 x 2) 1/8)))
(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 6) 69/1024 (*.f64 (pow.f64 x 2) 1/8))))
(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 6) 69/1024 (*.f64 (pow.f64 x 2) 1/8)))
(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 6) 69/1024 (*.f64 (pow.f64 x 2) 1/8)))
(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 6) 69/1024 (*.f64 (pow.f64 x 2) 1/8)))
(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))))))
(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 6) 69/1024 (*.f64 (pow.f64 x 2) 1/8)))
(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 6) 69/1024 (*.f64 (pow.f64 x 2) 1/8)))
(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 6) 69/1024 (*.f64 (pow.f64 x 2) 1/8)))
(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 6) 69/1024 (*.f64 (pow.f64 x 2) 1/8)))
(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 6) 69/1024 (*.f64 (pow.f64 x 2) 1/8)))
(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 6) 69/1024 (*.f64 (pow.f64 x 2) 1/8)))
(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 6) 69/1024 (*.f64 (pow.f64 x 2) 1/8)))
(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 6) 69/1024 (*.f64 (pow.f64 x 2) 1/8)))
(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 6) 69/1024 (*.f64 (pow.f64 x 2) 1/8)))
(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 6) 69/1024 (*.f64 (pow.f64 x 2) 1/8)))
(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 6) 69/1024 (*.f64 (pow.f64 x 2) 1/8)))
(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 6) 69/1024 (*.f64 (pow.f64 x 2) 1/8)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -11/128 (pow.f64 x 4)))) 1)
(*.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 (pow.f64 x 4)) -11/128))
(*.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))))
(*.f64 (pow.f64 x 4) -11/128)
(exp.f64 (log.f64 (*.f64 -11/128 (pow.f64 x 4))))
(*.f64 (pow.f64 x 4) -11/128)
(exp.f64 (*.f64 (log.f64 (*.f64 -11/128 (pow.f64 x 4))) 1))
(*.f64 (pow.f64 x 4) -11/128)
(log1p.f64 (expm1.f64 (*.f64 -11/128 (pow.f64 x 4))))
(*.f64 (pow.f64 x 4) -11/128)
(-.f64 (exp.f64 (log1p.f64 (*.f64 69/1024 (pow.f64 x 6)))) 1)
(*.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))))
(*.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)
(log1p.f64 (expm1.f64 (*.f64 69/1024 (pow.f64 x 6))))
(*.f64 (pow.f64 x 6) 69/1024)

eval672.0ms (4.8%)

Compiler

Compiled 16130 to 14307 computations (11.3% saved)

prune227.0ms (1.6%)

Pruning

17 alts after pruning (11 fresh and 6 done)

PrunedKeptTotal
New6408648
Fresh134
Picked055
Done011
Total64117658
Accuracy
100.0%
Counts
658 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
81.0%
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3)) (+.f64 1 (*.f64 (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
81.1%
(/.f64 (/.f64 (+.f64 1/4 (/.f64 -1/4 (fma.f64 x x 1))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
81.0%
(/.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))))))
67.0%
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
38.2%
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2)
81.1%
(/.f64 (-.f64 1/2 (sqrt.f64 (/.f64 1/4 (fma.f64 x x 1)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
81.1%
(/.f64 (*.f64 (-.f64 1/4 (/.f64 1/4 (+.f64 (pow.f64 x 2) 1))) (/.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
55.6%
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
80.2%
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
53.9%
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
53.6%
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
80.2%
(-.f64 1 (sqrt.f64 (+.f64 1/2 (sqrt.f64 (/.f64 1/4 (fma.f64 x x 1))))))
54.8%
(-.f64 1 (sqrt.f64 1/2))
45.5%
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 1/8 (pow.f64 x 2))))
45.0%
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 1/8 (pow.f64 x 2)))
46.9%
(*.f64 (pow.f64 x 2) 1/8)
81.0%
(*.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)))))))
Compiler

Compiled 482 to 427 computations (11.4% saved)

localize535.0ms (3.8%)

Localize:

Found 14 expressions with local error:

NewAccuracyProgram
100.0%
(/.f64 1/2 (hypot.f64 1 x))
100.0%
(+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
100.0%
(*.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
89.2%
(-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))
100.0%
(/.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 x)))))
99.9%
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))
89.2%
(-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))
99.9%
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))
99.2%
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
100.0%
(+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
99.8%
(/.f64 1/4 (fma.f64 x x 1))
89.2%
(-.f64 1/2 (sqrt.f64 (/.f64 1/4 (fma.f64 x x 1))))
74.6%
(sqrt.f64 (/.f64 1/4 (fma.f64 x x 1)))
Compiler

Compiled 252 to 207 computations (17.9% saved)

series14.0ms (0.1%)

Counts
8 → 80
Calls

24 calls:

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

rewrite209.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
726×expm1-udef
724×log1p-udef
276×associate-*r*
224×log1p-expm1-u
224×expm1-log1p-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028255
1493210
27430210
Stop Event
node limit
Counts
8 → 282
Calls
Call 1
Inputs
(sqrt.f64 (/.f64 1/4 (fma.f64 x x 1)))
(-.f64 1/2 (sqrt.f64 (/.f64 1/4 (fma.f64 x x 1))))
(/.f64 1/4 (fma.f64 x x 1))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 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)))))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/2 (hypot.f64 1 x)))) 1)
(*.f64 1 (/.f64 1/2 (hypot.f64 1 x)))
(*.f64 1/2 (/.f64 1 (hypot.f64 1 x)))
(*.f64 1/2 (sqrt.f64 (/.f64 1 (fma.f64 x x 1))))
(*.f64 (/.f64 1/2 (hypot.f64 1 x)) 1)
(*.f64 (cbrt.f64 (/.f64 1/2 (hypot.f64 1 x))) (cbrt.f64 (/.f64 1/4 (fma.f64 x x 1))))
(*.f64 (cbrt.f64 (/.f64 1/4 (fma.f64 x x 1))) (cbrt.f64 (/.f64 1/2 (hypot.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1/2 (hypot.f64 1 x))) (sqrt.f64 (/.f64 1/2 (hypot.f64 1 x))))
(*.f64 -1/2 (/.f64 1 (neg.f64 (hypot.f64 1 x))))
(*.f64 (/.f64 1 (hypot.f64 1 x)) 1/2)
(*.f64 (pow.f64 1/4 1/2) (pow.f64 (/.f64 1 (fma.f64 x x 1)) 1/2))
(*.f64 (pow.f64 1 1/2) (/.f64 1/2 (hypot.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1/4 (fma.f64 x x 1))) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 1/4 (fma.f64 x x 1))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 1/4 (fma.f64 x x 1))) 2)) (sqrt.f64 (cbrt.f64 (/.f64 1/4 (fma.f64 x x 1)))))
(/.f64 1 (*.f64 (hypot.f64 1 x) 2))
(/.f64 1 (sqrt.f64 (*.f64 (fma.f64 x x 1) 4)))
(/.f64 1 (/.f64 (*.f64 (hypot.f64 1 x) 2) 1))
(/.f64 1/2 (hypot.f64 1 x))
(/.f64 1/2 (neg.f64 (neg.f64 (hypot.f64 1 x))))
(/.f64 -1 (neg.f64 (*.f64 (hypot.f64 1 x) 2)))
(/.f64 -1/2 (neg.f64 (hypot.f64 1 x)))
(/.f64 (sqrt.f64 -1/4) (sqrt.f64 (neg.f64 (fma.f64 x x 1))))
(/.f64 (/.f64 1/2 (cbrt.f64 (fma.f64 x x 1))) (cbrt.f64 (hypot.f64 1 x)))
(/.f64 (/.f64 1/2 (sqrt.f64 (hypot.f64 1 x))) (sqrt.f64 (hypot.f64 1 x)))
(pow.f64 (/.f64 1/4 (fma.f64 x x 1)) 1/2)
(pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 1/2 (hypot.f64 1 x))) 3)
(pow.f64 (sqrt.f64 (/.f64 1/2 (hypot.f64 1 x))) 2)
(pow.f64 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)) 1/3)
(pow.f64 (*.f64 (hypot.f64 1 x) 2) -1)
(fabs.f64 (/.f64 1/2 (hypot.f64 1 x)))
(log.f64 (exp.f64 (/.f64 1/2 (hypot.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/2 (hypot.f64 1 x)))))
(cbrt.f64 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 1/2 (hypot.f64 1 x))))
(exp.f64 (log.f64 (/.f64 1/2 (hypot.f64 1 x))))
(exp.f64 (*.f64 (-.f64 (log.f64 1/4) (log1p.f64 (pow.f64 x 2))) 1/2))
(exp.f64 (*.f64 (log.f64 (/.f64 1/2 (hypot.f64 1 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 1/2 (hypot.f64 1 x))))
(+.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 1/2 (/.f64 -1/2 (hypot.f64 1 x)))
(+.f64 1/2 (*.f64 (/.f64 -1/2 (hypot.f64 1 x)) 1))
(+.f64 (/.f64 -1/2 (hypot.f64 1 x)) 1/2)
(*.f64 1 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))))
(*.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) 1)
(*.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) 2) (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) 2) (*.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) 1))
(*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))))
(*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) 1))
(*.f64 (-.f64 1/8 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3))) (/.f64 1 (+.f64 1/4 (+.f64 (/.f64 1/4 (fma.f64 x x 1)) (/.f64 1/4 (hypot.f64 1 x))))))
(*.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) (/.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(*.f64 (/.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1)))) (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))))
(*.f64 (/.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) (+.f64 1/8 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)))) (-.f64 (+.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) (/.f64 1/4 (hypot.f64 1 x))))
(/.f64 1 (/.f64 (+.f64 1/4 (+.f64 (/.f64 1/4 (fma.f64 x x 1)) (/.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 (fma.f64 x x 1)))))
(/.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 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(/.f64 (*.f64 (-.f64 1/8 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3))) 1) (+.f64 1/4 (+.f64 (/.f64 1/4 (fma.f64 x x 1)) (/.f64 1/4 (hypot.f64 1 x)))))
(/.f64 (*.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) 1) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(/.f64 (neg.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1)))) (neg.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(/.f64 (neg.f64 (-.f64 1/8 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)))) (neg.f64 (+.f64 1/4 (+.f64 (/.f64 1/4 (fma.f64 x x 1)) (/.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 (fma.f64 x x 1))) 1) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(/.f64 (/.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(/.f64 (/.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2)) (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)))))
(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))
(log1p.f64 (expm1.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/4 (fma.f64 x x 1)))) 1)
(*.f64 1/4 (/.f64 1 (fma.f64 x x 1)))
(*.f64 1/4 (*.f64 (/.f64 1 (hypot.f64 1 x)) (/.f64 1 (hypot.f64 1 x))))
(*.f64 1 (/.f64 1/4 (fma.f64 x x 1)))
(*.f64 (/.f64 1/4 (fma.f64 x x 1)) 1)
(*.f64 1/2 (*.f64 (/.f64 1 (hypot.f64 1 x)) (/.f64 1/2 (hypot.f64 1 x))))
(*.f64 (/.f64 1/2 (hypot.f64 1 x)) (/.f64 1/2 (hypot.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 1/4 (fma.f64 x x 1))) (pow.f64 (cbrt.f64 (/.f64 1/4 (fma.f64 x x 1))) 2))
(*.f64 (cbrt.f64 (/.f64 1/4 (fma.f64 x x 1))) (*.f64 (cbrt.f64 (/.f64 1/2 (hypot.f64 1 x))) (/.f64 1/2 (hypot.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/4 (fma.f64 x x 1))) 2) (cbrt.f64 (/.f64 1/4 (fma.f64 x x 1))))
(*.f64 (sqrt.f64 (/.f64 1/2 (hypot.f64 1 x))) (*.f64 (sqrt.f64 (/.f64 1/2 (hypot.f64 1 x))) (/.f64 1/2 (hypot.f64 1 x))))
(*.f64 -1/4 (/.f64 1 (neg.f64 (fma.f64 x x 1))))
(*.f64 (/.f64 1/4 (hypot.f64 1 x)) (/.f64 1 (hypot.f64 1 x)))
(*.f64 (/.f64 1 (fma.f64 x x 1)) 1/4)
(*.f64 (*.f64 (/.f64 1/2 (hypot.f64 1 x)) (sqrt.f64 (/.f64 1/2 (hypot.f64 1 x)))) (sqrt.f64 (/.f64 1/2 (hypot.f64 1 x))))
(*.f64 (*.f64 (/.f64 1/2 (hypot.f64 1 x)) (cbrt.f64 (/.f64 1/4 (fma.f64 x x 1)))) (cbrt.f64 (/.f64 1/2 (hypot.f64 1 x))))
(pow.f64 (/.f64 1/4 (fma.f64 x x 1)) 1)
(pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 2)
(pow.f64 (cbrt.f64 (/.f64 1/4 (fma.f64 x x 1))) 3)
(pow.f64 (/.f64 1/16 (pow.f64 (fma.f64 x x 1) 2)) 1/2)
(pow.f64 (pow.f64 (/.f64 1/4 (fma.f64 x x 1)) 3) 1/3)
(pow.f64 (*.f64 (fma.f64 x x 1) 4) -1)
(sqrt.f64 (/.f64 1/16 (pow.f64 (fma.f64 x x 1) 2)))
(log.f64 (exp.f64 (/.f64 1/4 (fma.f64 x x 1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/4 (fma.f64 x x 1)))))
(cbrt.f64 (pow.f64 (/.f64 1/4 (fma.f64 x x 1)) 3))
(expm1.f64 (log1p.f64 (/.f64 1/4 (fma.f64 x x 1))))
(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))
(log1p.f64 (expm1.f64 (/.f64 1/4 (fma.f64 x x 1))))
(+.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(+.f64 1 (*.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1))
(+.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1)
(*.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(*.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1)
(*.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 2) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(*.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(*.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)) (/.f64 1 (+.f64 1 (+.f64 (+.f64 1/2 (/.f64 1/2 x)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(*.f64 (-.f64 1/2 (/.f64 1/2 x)) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(*.f64 (/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))) (+.f64 1 (-.f64 (+.f64 1/2 (/.f64 1/2 x)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(*.f64 (/.f64 (-.f64 1/2 (/.f64 1/2 x)) (-.f64 1/2 (/.f64 1/2 x))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (+.f64 1/2 (/.f64 1/2 x)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))))
(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (-.f64 1/2 (/.f64 1/2 x))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)) (+.f64 1 (+.f64 (+.f64 1/2 (/.f64 1/2 x)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))) (neg.f64 (+.f64 1 (+.f64 (+.f64 1/2 (/.f64 1/2 x)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(/.f64 (neg.f64 (-.f64 1/2 (/.f64 1/2 x))) (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(/.f64 (-.f64 1 (*.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) (-.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(/.f64 (/.f64 (-.f64 1/2 (/.f64 1/2 x)) 1) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(/.f64 (/.f64 (-.f64 1/2 (/.f64 1/2 x)) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 2)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(/.f64 (/.f64 (-.f64 1/2 (/.f64 1/2 x)) (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4))) (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4)))
(pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1)
(pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 3)
(pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 2)
(sqrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2))
(log.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3))
(expm1.f64 (log1p.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(exp.f64 (log1p.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 1))
(log1p.f64 (expm1.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1)
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(/.f64 (*.f64 (-.f64 1/8 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (+.f64 1/4 (+.f64 (/.f64 1/4 (fma.f64 x x 1)) (/.f64 1/4 (hypot.f64 1 x)))))
(/.f64 (*.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) (/.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))))
(pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1)
(pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 3)
(pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2)
(sqrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2))
(log.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) 3) (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 3) (pow.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3)))
(expm1.f64 (log1p.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(exp.f64 (log.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(exp.f64 (*.f64 (log.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 1))
(log1p.f64 (expm1.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))

simplify182.0ms (1.3%)

Algorithm
egg-herbie
Rules
804×fma-def
802×associate-*r*
736×associate-*l*
680×associate-/r*
540×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
081319883
1222318008
Stop Event
node limit
Counts
362 → 473
Calls
Call 1
Inputs
1/2
(+.f64 1/2 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 3/16 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -5/32 (pow.f64 x 6)) (*.f64 3/16 (pow.f64 x 4)))))
(/.f64 1/2 x)
(-.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/4 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 3/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 3/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))) (+.f64 (*.f64 5/32 (/.f64 1 (pow.f64 x 7))) (*.f64 1/4 (/.f64 1 (pow.f64 x 3)))))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 3/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 5/32 (/.f64 1 (pow.f64 x 7))) (*.f64 1/4 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 3/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(*.f64 1/4 (pow.f64 x 2))
(+.f64 (*.f64 -3/16 (pow.f64 x 4)) (*.f64 1/4 (pow.f64 x 2)))
(+.f64 (*.f64 -3/16 (pow.f64 x 4)) (+.f64 (*.f64 5/32 (pow.f64 x 6)) (*.f64 1/4 (pow.f64 x 2))))
(+.f64 (*.f64 -3/16 (pow.f64 x 4)) (+.f64 (*.f64 -35/256 (pow.f64 x 8)) (+.f64 (*.f64 5/32 (pow.f64 x 6)) (*.f64 1/4 (pow.f64 x 2)))))
1/2
(-.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 1/2 (*.f64 1/4 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 1/2 (*.f64 1/4 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 3/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
1/2
(+.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 1/2 (*.f64 1/2 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 1/2 (+.f64 (*.f64 3/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 3))))
1/4
(+.f64 1/4 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 1/4 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 1/4 (pow.f64 x 4))))
(+.f64 1/4 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -1/4 (pow.f64 x 6)) (*.f64 1/4 (pow.f64 x 4)))))
(/.f64 1/4 (pow.f64 x 2))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 8)))))
(/.f64 1/4 (pow.f64 x 2))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 8)))))
(-.f64 1 (sqrt.f64 1/2))
(-.f64 1 (+.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2))))))
(-.f64 (+.f64 1 (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))))) (+.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2))))))
(-.f64 (+.f64 1 (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))))) (+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 1/128 (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/2) 5)))) (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2)))))))
(-.f64 1 (sqrt.f64 1/2))
(-.f64 1 (+.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2))))))
(-.f64 (+.f64 1 (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))))) (+.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2))))))
(-.f64 (+.f64 1 (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))))) (+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 1/128 (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/2) 5)))) (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2)))))))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2)))))
(-.f64 (+.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2))))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3)))))
(-.f64 (+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 1/128 (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/2) 5)))) (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2)))))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3)))))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2)))))
(-.f64 (+.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2))))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3)))))
(-.f64 (+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 1/128 (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/2) 5)))) (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2)))))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3)))))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2)))))
(-.f64 (+.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2))))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3)))))
(-.f64 (+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 1/128 (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/2) 5)))) (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2)))))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3)))))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2)))))
(-.f64 (+.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2))))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3)))))
(-.f64 (+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 1/128 (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/2) 5)))) (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2)))))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3)))))
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (sqrt.f64 1/2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2)))) (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2))))) x)) (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (sqrt.f64 1/2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2)))) (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2))))) x)) (+.f64 (*.f64 1/64 (/.f64 1 (*.f64 (pow.f64 x 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2))))) (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))))) (*.f64 -1/4 (/.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (sqrt.f64 1/2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2)))) (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2))))) (*.f64 (pow.f64 x 2) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (sqrt.f64 1/2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2)))) (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2))))) x)) (+.f64 (*.f64 1/64 (/.f64 1 (*.f64 (pow.f64 x 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2))))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 x 3) (+.f64 1 (sqrt.f64 1/2))))) (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2))))))) (+.f64 (*.f64 -1/4 (/.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (sqrt.f64 1/2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2)))) (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2))))) (*.f64 (pow.f64 x 2) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) (+.f64 (*.f64 1/256 (/.f64 1 (*.f64 (pow.f64 x 3) (*.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2))))) (+.f64 (*.f64 1/32 (/.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (sqrt.f64 1/2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2)))) (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2))))) (*.f64 (pow.f64 x 3) (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (+.f64 1 (sqrt.f64 1/2)))))) (*.f64 1/4 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2)))) (*.f64 -1/4 (/.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (sqrt.f64 1/2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2)))) (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2))))) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) (*.f64 (pow.f64 x 3) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))))))
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/8 (/.f64 1 (*.f64 (sqrt.f64 1/2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2)))) (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2))))) x)) (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/8 (/.f64 1 (*.f64 (sqrt.f64 1/2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2)))) (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2))))) x)) (+.f64 (*.f64 1/64 (/.f64 1 (*.f64 (pow.f64 x 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2))))) (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))))) (*.f64 -1/4 (/.f64 (-.f64 (*.f64 1/8 (/.f64 1 (*.f64 (sqrt.f64 1/2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2)))) (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2))))) (*.f64 (pow.f64 x 2) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/8 (/.f64 1 (*.f64 (sqrt.f64 1/2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2)))) (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2))))) x)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 1/256 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2)))) (*.f64 1/4 (/.f64 1 (+.f64 1 (sqrt.f64 1/2))))) (+.f64 (*.f64 -1/4 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2)))) (*.f64 -1/4 (/.f64 (-.f64 (*.f64 1/8 (/.f64 1 (*.f64 (sqrt.f64 1/2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2)))) (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2))))) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))) (*.f64 -1/32 (/.f64 (-.f64 (*.f64 1/8 (/.f64 1 (*.f64 (sqrt.f64 1/2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2)))) (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2))))) (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (+.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 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2))))))) (*.f64 -1/4 (/.f64 (-.f64 (*.f64 1/8 (/.f64 1 (*.f64 (sqrt.f64 1/2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2)))) (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2))))) (*.f64 (pow.f64 x 2) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))))
(*.f64 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)))
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(/.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 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) 2) (/.f64 (+.f64 1 (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 (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))))) (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 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(/.f64 (-.f64 1/8 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3))) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (+.f64 1/4 (+.f64 (/.f64 1/4 (fma.f64 x x 1)) (/.f64 1/4 (hypot.f64 1 x))))))
(/.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 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 (-.f64 1/8 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3))) 1) (*.f64 (+.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))) -1) (*.f64 (+.f64 1/4 (+.f64 (/.f64 1/4 (fma.f64 x x 1)) (/.f64 1/4 (hypot.f64 1 x)))) (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(/.f64 (*.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) 1) (*.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(/.f64 (*.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) -1) (*.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(/.f64 (*.f64 -1 (-.f64 1/8 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)))) (*.f64 (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (+.f64 1/4 (+.f64 (/.f64 1/4 (fma.f64 x x 1)) (/.f64 1/4 (hypot.f64 1 x))))))
(/.f64 (*.f64 -1 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1)))) (*.f64 (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(/.f64 (/.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4))) (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4)))
(/.f64 (/.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 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) (+.f64 1 (+.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(/.f64 (*.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) -1) (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(/.f64 (*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (-.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 (*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1)))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(/.f64 (*.f64 (-.f64 1/8 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (+.f64 1/4 (+.f64 (/.f64 1/4 (fma.f64 x x 1)) (/.f64 1/4 (hypot.f64 1 x)))))
(/.f64 (*.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) (/.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))))
(pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1)
(pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 3)
(pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2)
(sqrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2))
(log.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) 3) (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 3) (pow.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3)))
(expm1.f64 (log1p.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(exp.f64 (log.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(exp.f64 (*.f64 (log.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 1))
(log1p.f64 (expm1.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
Outputs
1/2
(+.f64 1/2 (*.f64 -1/4 (pow.f64 x 2)))
(fma.f64 -1/4 (pow.f64 x 2) 1/2)
(+.f64 1/2 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 3/16 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 -1/4 (pow.f64 x 2) (*.f64 3/16 (pow.f64 x 4))))
(+.f64 (fma.f64 -1/4 (pow.f64 x 2) 1/2) (*.f64 3/16 (pow.f64 x 4)))
(+.f64 1/2 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -5/32 (pow.f64 x 6)) (*.f64 3/16 (pow.f64 x 4)))))
(+.f64 1/2 (fma.f64 -1/4 (pow.f64 x 2) (fma.f64 -5/32 (pow.f64 x 6) (*.f64 3/16 (pow.f64 x 4)))))
(+.f64 (fma.f64 -1/4 (pow.f64 x 2) 1/2) (fma.f64 3/16 (pow.f64 x 4) (*.f64 -5/32 (pow.f64 x 6))))
(/.f64 1/2 x)
(-.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/4 (/.f64 1 (pow.f64 x 3))))
(-.f64 (/.f64 1/2 x) (/.f64 1/4 (pow.f64 x 3)))
(+.f64 (/.f64 1/2 x) (/.f64 -1/4 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 3/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1/2 x) (/.f64 3/16 (pow.f64 x 5))) (/.f64 1/4 (pow.f64 x 3)))
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 3/16 (pow.f64 x 5)) (/.f64 -1/4 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 3/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))) (+.f64 (*.f64 5/32 (/.f64 1 (pow.f64 x 7))) (*.f64 1/4 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 3/16 (pow.f64 x 5)) (-.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/4 (pow.f64 x 3)) (/.f64 5/32 (pow.f64 x 7)))))
(+.f64 (-.f64 (+.f64 (/.f64 1/2 x) (/.f64 3/16 (pow.f64 x 5))) (/.f64 5/32 (pow.f64 x 7))) (/.f64 -1/4 (pow.f64 x 3)))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/4 (pow.f64 x 3)) (/.f64 1/2 x))
(+.f64 (/.f64 1/4 (pow.f64 x 3)) (/.f64 -1/2 x))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 3/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (/.f64 1/4 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 3/16 (pow.f64 x 5))))
(-.f64 (+.f64 (*.f64 5/32 (/.f64 1 (pow.f64 x 7))) (*.f64 1/4 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 3/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (/.f64 5/32 (pow.f64 x 7)) (-.f64 (/.f64 1/4 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 3/16 (pow.f64 x 5)))))
(+.f64 (/.f64 1/4 (pow.f64 x 3)) (-.f64 (/.f64 5/32 (pow.f64 x 7)) (+.f64 (/.f64 1/2 x) (/.f64 3/16 (pow.f64 x 5)))))
(*.f64 1/4 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) 1/4)
(+.f64 (*.f64 -3/16 (pow.f64 x 4)) (*.f64 1/4 (pow.f64 x 2)))
(fma.f64 -3/16 (pow.f64 x 4) (*.f64 (pow.f64 x 2) 1/4))
(fma.f64 (pow.f64 x 2) 1/4 (*.f64 (pow.f64 x 4) -3/16))
(+.f64 (*.f64 -3/16 (pow.f64 x 4)) (+.f64 (*.f64 5/32 (pow.f64 x 6)) (*.f64 1/4 (pow.f64 x 2))))
(fma.f64 -3/16 (pow.f64 x 4) (fma.f64 5/32 (pow.f64 x 6) (*.f64 (pow.f64 x 2) 1/4)))
(fma.f64 (pow.f64 x 4) -3/16 (fma.f64 (pow.f64 x 6) 5/32 (*.f64 (pow.f64 x 2) 1/4)))
(+.f64 (*.f64 -3/16 (pow.f64 x 4)) (+.f64 (*.f64 -35/256 (pow.f64 x 8)) (+.f64 (*.f64 5/32 (pow.f64 x 6)) (*.f64 1/4 (pow.f64 x 2)))))
(fma.f64 -3/16 (pow.f64 x 4) (fma.f64 -35/256 (pow.f64 x 8) (fma.f64 5/32 (pow.f64 x 6) (*.f64 (pow.f64 x 2) 1/4))))
(fma.f64 (pow.f64 x 4) -3/16 (fma.f64 -35/256 (pow.f64 x 8) (fma.f64 (pow.f64 x 6) 5/32 (*.f64 (pow.f64 x 2) 1/4))))
1/2
(-.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(-.f64 1/2 (/.f64 1/2 x))
(+.f64 1/2 (/.f64 -1/2 x))
(-.f64 (+.f64 1/2 (*.f64 1/4 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (/.f64 1 x)))
(+.f64 1/2 (-.f64 (/.f64 1/4 (pow.f64 x 3)) (/.f64 1/2 x)))
(+.f64 (/.f64 1/4 (pow.f64 x 3)) (+.f64 1/2 (/.f64 -1/2 x)))
(-.f64 (+.f64 1/2 (*.f64 1/4 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 3/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 1/2 (-.f64 (/.f64 1/4 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 3/16 (pow.f64 x 5)))))
(+.f64 (/.f64 1/4 (pow.f64 x 3)) (-.f64 1/2 (+.f64 (/.f64 1/2 x) (/.f64 3/16 (pow.f64 x 5)))))
1/2
(+.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(+.f64 1/2 (/.f64 1/2 x))
(-.f64 (+.f64 1/2 (*.f64 1/2 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 1/2 (/.f64 1/2 x)) (/.f64 1/4 (pow.f64 x 3)))
(+.f64 (/.f64 1/2 x) (+.f64 1/2 (/.f64 -1/4 (pow.f64 x 3))))
(-.f64 (+.f64 1/2 (+.f64 (*.f64 3/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 3))))
(+.f64 1/2 (-.f64 (+.f64 (/.f64 1/2 x) (/.f64 3/16 (pow.f64 x 5))) (/.f64 1/4 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 1/2 x) (/.f64 3/16 (pow.f64 x 5))) (+.f64 1/2 (/.f64 -1/4 (pow.f64 x 3))))
1/4
(+.f64 1/4 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 (*.f64 -1/4 (pow.f64 x 2)) 1/4)
(fma.f64 -1/4 (pow.f64 x 2) 1/4)
(+.f64 1/4 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 1/4 (pow.f64 x 4))))
(+.f64 1/4 (fma.f64 -1/4 (pow.f64 x 2) (*.f64 (pow.f64 x 4) 1/4)))
(+.f64 1/4 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -1/4 (pow.f64 x 6)) (*.f64 1/4 (pow.f64 x 4)))))
(+.f64 1/4 (fma.f64 -1/4 (pow.f64 x 2) (fma.f64 -1/4 (pow.f64 x 6) (*.f64 (pow.f64 x 4) 1/4))))
(+.f64 (fma.f64 -1/4 (pow.f64 x 2) 1/4) (fma.f64 -1/4 (pow.f64 x 6) (*.f64 (pow.f64 x 4) 1/4)))
(/.f64 1/4 (pow.f64 x 2))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 x 4))))
(-.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 1/4 (pow.f64 x 4)))
(+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 -1/4 (pow.f64 x 4)))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1/4 (pow.f64 x 6)) (-.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 1/4 (pow.f64 x 4))))
(+.f64 (/.f64 1/4 (pow.f64 x 2)) (+.f64 (/.f64 1/4 (pow.f64 x 6)) (/.f64 -1/4 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 8)))))
(+.f64 (/.f64 1/4 (pow.f64 x 6)) (-.f64 (/.f64 1/4 (pow.f64 x 2)) (+.f64 (/.f64 1/4 (pow.f64 x 4)) (/.f64 1/4 (pow.f64 x 8)))))
(+.f64 (/.f64 1/4 (pow.f64 x 2)) (-.f64 (/.f64 1/4 (pow.f64 x 6)) (+.f64 (/.f64 1/4 (pow.f64 x 4)) (/.f64 1/4 (pow.f64 x 8)))))
(/.f64 1/4 (pow.f64 x 2))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 x 4))))
(-.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 1/4 (pow.f64 x 4)))
(+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 -1/4 (pow.f64 x 4)))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1/4 (pow.f64 x 6)) (-.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 1/4 (pow.f64 x 4))))
(+.f64 (/.f64 1/4 (pow.f64 x 2)) (+.f64 (/.f64 1/4 (pow.f64 x 6)) (/.f64 -1/4 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 8)))))
(+.f64 (/.f64 1/4 (pow.f64 x 6)) (-.f64 (/.f64 1/4 (pow.f64 x 2)) (+.f64 (/.f64 1/4 (pow.f64 x 4)) (/.f64 1/4 (pow.f64 x 8)))))
(+.f64 (/.f64 1/4 (pow.f64 x 2)) (-.f64 (/.f64 1/4 (pow.f64 x 6)) (+.f64 (/.f64 1/4 (pow.f64 x 4)) (/.f64 1/4 (pow.f64 x 8)))))
(-.f64 1 (sqrt.f64 1/2))
(-.f64 1 (+.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2))))))
(-.f64 1 (+.f64 (sqrt.f64 1/2) (/.f64 1/4 (*.f64 x (sqrt.f64 1/2)))))
(-.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (/.f64 1/4 (sqrt.f64 1/2)) x))
(-.f64 (+.f64 1 (*.f64 1/32 (/.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 (fma.f64 1/32 (/.f64 (/.f64 2 (sqrt.f64 1/2)) (pow.f64 x 2)) 1) (+.f64 (sqrt.f64 1/2) (/.f64 (/.f64 1/4 (sqrt.f64 1/2)) x)))
(-.f64 (+.f64 1 (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))))) (+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 1/128 (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/2) 5)))) (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2)))))))
(-.f64 (+.f64 1 (/.f64 1/32 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3)))) (+.f64 (sqrt.f64 1/2) (+.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) (/.f64 1/128 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/2) 5))))))
(-.f64 (fma.f64 1/32 (/.f64 (/.f64 2 (sqrt.f64 1/2)) (pow.f64 x 2)) 1) (+.f64 (+.f64 (sqrt.f64 1/2) (/.f64 (/.f64 1/4 (sqrt.f64 1/2)) x)) (/.f64 1/128 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/2) 5)))))
(-.f64 1 (sqrt.f64 1/2))
(-.f64 1 (+.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2))))))
(-.f64 1 (+.f64 (sqrt.f64 1/2) (/.f64 1/4 (*.f64 x (sqrt.f64 1/2)))))
(-.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (/.f64 1/4 (sqrt.f64 1/2)) x))
(-.f64 (+.f64 1 (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))))) (+.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2))))))
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(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(exp.f64 (log.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 1))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(log1p.f64 (expm1.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))

eval1.3s (9%)

Compiler

Compiled 46149 to 41018 computations (11.1% saved)

prune220.0ms (1.6%)

Pruning

19 alts after pruning (9 fresh and 10 done)

PrunedKeptTotal
New167851683
Fresh246
Picked145
Done066
Total1681191700
Accuracy
100.0%
Counts
1700 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
81.0%
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3)) (+.f64 1 (*.f64 (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
81.1%
(/.f64 (/.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
81.0%
(/.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))))))
38.2%
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2)
54.7%
(/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
81.1%
(/.f64 (-.f64 1/2 (sqrt.f64 (/.f64 1/4 (fma.f64 x x 1)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
81.1%
(/.f64 (*.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) (/.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
55.6%
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
80.2%
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
53.9%
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
53.6%
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
80.2%
(-.f64 1 (sqrt.f64 (+.f64 1/2 (sqrt.f64 (/.f64 1/4 (fma.f64 x x 1))))))
54.8%
(-.f64 1 (sqrt.f64 1/2))
45.5%
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 1/8 (pow.f64 x 2))))
45.0%
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 1/8 (pow.f64 x 2)))
46.9%
(*.f64 (pow.f64 x 2) 1/8)
81.0%
(*.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3)) (+.f64 1 (*.f64 (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) (+.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)))))))
81.0%
(*.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)))))))
81.0%
(*.f64 (-.f64 1/2 (sqrt.f64 (/.f64 1/4 (fma.f64 x x 1)))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
Compiler

Compiled 551 to 487 computations (11.6% saved)

localize1.1s (8%)

Localize:

Found 14 expressions with local error:

NewAccuracyProgram
100.0%
(*.f64 (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
100.0%
(pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3)
99.9%
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3)) (+.f64 1 (*.f64 (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
89.2%
(-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3))
100.0%
(*.f64 (-.f64 1/2 (sqrt.f64 (/.f64 1/4 (fma.f64 x x 1)))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
99.8%
(/.f64 1/4 (fma.f64 x x 1))
89.2%
(-.f64 1/2 (sqrt.f64 (/.f64 1/4 (fma.f64 x x 1))))
74.6%
(sqrt.f64 (/.f64 1/4 (fma.f64 x x 1)))
99.9%
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))
99.9%
(/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
100.0%
(*.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) (/.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
100.0%
(/.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
99.8%
(/.f64 1/4 (fma.f64 x x 1))
89.2%
(-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1)))
Compiler

Compiled 434 to 368 computations (15.2% saved)

series13.0ms (0.1%)

Counts
9 → 104
Calls

27 calls:

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

rewrite129.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
330×log1p-expm1-u
330×expm1-log1p-u
325×add-cube-cbrt
324×frac-times
323×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
038429
1719425
Stop Event
node limit
Counts
9 → 222
Calls
Call 1
Inputs
(-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1)))
(/.f64 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 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(*.f64 (-.f64 1/2 (sqrt.f64 (/.f64 1/4 (fma.f64 x x 1)))) (/.f64 1 (+.f64 1 (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))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3)) (+.f64 1 (*.f64 (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3)
(*.f64 (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
Outputs
(+.f64 1/4 (neg.f64 (/.f64 1/4 (fma.f64 x x 1))))
(*.f64 1 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1)))) 2) (cbrt.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1)))))
(*.f64 (sqrt.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1)))) (sqrt.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1)))))
(/.f64 (-.f64 1/64 (pow.f64 (/.f64 1/4 (fma.f64 x x 1)) 3)) (+.f64 1/16 (+.f64 (pow.f64 (/.f64 1/4 (fma.f64 x x 1)) 2) (*.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))))))
(/.f64 (-.f64 1/16 (pow.f64 (/.f64 1/4 (fma.f64 x x 1)) 2)) (+.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))))
(/.f64 (neg.f64 (-.f64 1/64 (pow.f64 (/.f64 1/4 (fma.f64 x x 1)) 3))) (neg.f64 (+.f64 1/16 (+.f64 (pow.f64 (/.f64 1/4 (fma.f64 x x 1)) 2) (*.f64 1/4 (/.f64 1/4 (fma.f64 x x 1)))))))
(/.f64 (neg.f64 (-.f64 1/16 (pow.f64 (/.f64 1/4 (fma.f64 x x 1)) 2))) (neg.f64 (+.f64 1/4 (/.f64 1/4 (fma.f64 x x 1)))))
(pow.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) 1)
(pow.f64 (cbrt.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1)))) 3)
(pow.f64 (pow.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1)))) 2)
(sqrt.f64 (pow.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) 2))
(log.f64 (exp.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))))))
(cbrt.f64 (pow.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) 3))
(expm1.f64 (log1p.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1)))))
(exp.f64 (log.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1)))))
(exp.f64 (*.f64 (log.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1)))) 1))
(log1p.f64 (expm1.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 1)
(*.f64 1 (/.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) -2)) (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(*.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) -1/2) (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) -1/2))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1))
(pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) -1)
(pow.f64 (/.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 3) 1/3)
(pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) -1/2) 2)
(pow.f64 (/.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1) -1)
(sqrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(exp.f64 (neg.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))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 1)
(-.f64 (/.f64 1/4 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (/.f64 (/.f64 1/4 (fma.f64 x x 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))))
(/.f64 (*.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) 1) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(/.f64 (*.f64 (-.f64 1/64 (pow.f64 (/.f64 1/4 (fma.f64 x x 1)) 3)) 1) (*.f64 (+.f64 1/16 (+.f64 (pow.f64 (/.f64 1/4 (fma.f64 x x 1)) 2) (*.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(/.f64 (*.f64 (-.f64 1/64 (pow.f64 (/.f64 1/4 (fma.f64 x x 1)) 3)) 1) (*.f64 (+.f64 1/16 (+.f64 (pow.f64 (/.f64 1/4 (fma.f64 x x 1)) 2) (*.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))))) (/.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1)))
(/.f64 (*.f64 (-.f64 1/64 (pow.f64 (/.f64 1/4 (fma.f64 x x 1)) 3)) -1) (*.f64 (+.f64 1/16 (+.f64 (pow.f64 (/.f64 1/4 (fma.f64 x x 1)) 2) (*.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))))) (neg.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 (*.f64 (-.f64 1/16 (pow.f64 (/.f64 1/4 (fma.f64 x x 1)) 2)) 1) (*.f64 (+.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(/.f64 (*.f64 (-.f64 1/16 (pow.f64 (/.f64 1/4 (fma.f64 x x 1)) 2)) 1) (*.f64 (+.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) (/.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1)))
(/.f64 (*.f64 (-.f64 1/16 (pow.f64 (/.f64 1/4 (fma.f64 x x 1)) 2)) -1) (*.f64 (+.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) (neg.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 (*.f64 1 (-.f64 1/64 (pow.f64 (/.f64 1/4 (fma.f64 x x 1)) 3))) (*.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1/16 (+.f64 (pow.f64 (/.f64 1/4 (fma.f64 x x 1)) 2) (*.f64 1/4 (/.f64 1/4 (fma.f64 x x 1)))))))
(/.f64 (*.f64 1 (-.f64 1/64 (pow.f64 (/.f64 1/4 (fma.f64 x x 1)) 3))) (*.f64 (/.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1) (+.f64 1/16 (+.f64 (pow.f64 (/.f64 1/4 (fma.f64 x x 1)) 2) (*.f64 1/4 (/.f64 1/4 (fma.f64 x x 1)))))))
(/.f64 (*.f64 1 (-.f64 1/16 (pow.f64 (/.f64 1/4 (fma.f64 x x 1)) 2))) (*.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1/4 (/.f64 1/4 (fma.f64 x x 1)))))
(/.f64 (*.f64 1 (-.f64 1/16 (pow.f64 (/.f64 1/4 (fma.f64 x x 1)) 2))) (*.f64 (/.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1) (+.f64 1/4 (/.f64 1/4 (fma.f64 x x 1)))))
(/.f64 (*.f64 -1 (-.f64 1/64 (pow.f64 (/.f64 1/4 (fma.f64 x x 1)) 3))) (*.f64 (neg.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 1/16 (+.f64 (pow.f64 (/.f64 1/4 (fma.f64 x x 1)) 2) (*.f64 1/4 (/.f64 1/4 (fma.f64 x x 1)))))))
(/.f64 (*.f64 -1 (-.f64 1/16 (pow.f64 (/.f64 1/4 (fma.f64 x x 1)) 2))) (*.f64 (neg.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 1/4 (/.f64 1/4 (fma.f64 x x 1)))))
(/.f64 (neg.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1)))) (neg.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(/.f64 (neg.f64 (*.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) 1)) (neg.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(pow.f64 (/.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 1)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) 3) (pow.f64 (/.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 3) (pow.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) 3) (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(exp.f64 (log.f64 (/.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1))
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(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) 1)) 2)) (/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3)) (cbrt.f64 (fma.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) 1))))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) 1))) (/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3)) (sqrt.f64 (fma.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3))) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3))) (fma.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) 1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3))) 2) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) 1)) 2)) (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3)) (fma.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3))) 2) (sqrt.f64 (fma.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) 1))) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3))) (sqrt.f64 (fma.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) 1))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3))) 1) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3))) (fma.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) 1)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3))) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) 1)) 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3))) (cbrt.f64 (fma.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) 1))))
(pow.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3)) (fma.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) 1)) 1)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3)) (fma.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) 1))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3)) (fma.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3)) (fma.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) 1))) 2)
(pow.f64 (/.f64 (fma.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) 1) (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3))) -1)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3)) (fma.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) 1)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3)) (fma.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) 1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3)) (fma.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) 1)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3)) (fma.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) 1)) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3)) 3) (pow.f64 (fma.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) 1) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3)) (fma.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) 1))))
(exp.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3))) (log1p.f64 (*.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2)))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3))) (log1p.f64 (*.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3)) (fma.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) 1))))
(-.f64 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3)) 1)
(*.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3))
(*.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2))
(*.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 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2) (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2) 3) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(/.f64 (pow.f64 (+.f64 1/8 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3))) 3) (pow.f64 (+.f64 1/4 (-.f64 (/.f64 1/4 (+.f64 1 (pow.f64 x 2))) (*.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3))
(/.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))
(sqrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 6))
(log.f64 (exp.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3))))
(cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 9))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3)))
(exp.f64 (*.f64 3 (log.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3)))
(+.f64 (*.f64 (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) 1/2) (*.f64 (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) (/.f64 1/2 (hypot.f64 1 x))))
(+.f64 (*.f64 1/2 (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2)) (*.f64 (/.f64 1/2 (hypot.f64 1 x)) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2)))
(-.f64 (fma.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) 1) 1)
(/.f64 (*.f64 (+.f64 1/8 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3))) (+.f64 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)) 27/8)) (*.f64 (+.f64 1/4 (-.f64 (/.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 (pow.f64 x 2))) (-.f64 9/4 (*.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2)))))
(/.f64 (*.f64 (+.f64 1/8 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3))) (-.f64 (/.f64 1/4 (+.f64 1 (pow.f64 x 2))) 9/4)) (*.f64 (+.f64 1/4 (-.f64 (/.f64 1/4 (+.f64 1 (pow.f64 x 2))) (*.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2)))
(/.f64 (*.f64 (-.f64 1/4 (/.f64 1/4 (+.f64 1 (pow.f64 x 2)))) (+.f64 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)) 27/8)) (*.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/4 (+.f64 1 (pow.f64 x 2))) (-.f64 9/4 (*.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2)))))
(/.f64 (*.f64 (-.f64 1/4 (/.f64 1/4 (+.f64 1 (pow.f64 x 2)))) (-.f64 (/.f64 1/4 (+.f64 1 (pow.f64 x 2))) 9/4)) (*.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (-.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2)))
(/.f64 (*.f64 (+.f64 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)) 27/8) (+.f64 1/8 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)))) (*.f64 (+.f64 (/.f64 1/4 (+.f64 1 (pow.f64 x 2))) (-.f64 9/4 (*.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2))) (+.f64 1/4 (-.f64 (/.f64 1/4 (+.f64 1 (pow.f64 x 2))) (*.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(/.f64 (*.f64 (+.f64 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)) 27/8) (-.f64 1/4 (/.f64 1/4 (+.f64 1 (pow.f64 x 2))))) (*.f64 (+.f64 (/.f64 1/4 (+.f64 1 (pow.f64 x 2))) (-.f64 9/4 (*.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2))) (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(/.f64 (*.f64 (-.f64 (/.f64 1/4 (+.f64 1 (pow.f64 x 2))) 9/4) (+.f64 1/8 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)))) (*.f64 (-.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) (+.f64 1/4 (-.f64 (/.f64 1/4 (+.f64 1 (pow.f64 x 2))) (*.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(/.f64 (*.f64 (-.f64 (/.f64 1/4 (+.f64 1 (pow.f64 x 2))) 9/4) (-.f64 1/4 (/.f64 1/4 (+.f64 1 (pow.f64 x 2))))) (*.f64 (-.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(pow.f64 (*.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2))) 2)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2)) (+.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 (/.f64 1/2 (hypot.f64 1 x)) 3/2)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2))))
(exp.f64 (log.f64 (*.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2))))
(fma.f64 1/2 (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) (*.f64 (/.f64 1/2 (hypot.f64 1 x)) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2)))
(fma.f64 (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) 1/2 (*.f64 (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) (/.f64 1/2 (hypot.f64 1 x))))

simplify179.0ms (1.3%)

Algorithm
egg-herbie
Rules
738×fma-def
644×associate-*r*
620×times-frac
612×associate-*l*
598×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
082421408
1243320585
Stop Event
node limit
Counts
326 → 489
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
(+.f64 1 (*.f64 1/4 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 1/4 (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (+.f64 (*.f64 5/64 (pow.f64 x 6)) (*.f64 1/4 (pow.f64 x 2)))))
2
(-.f64 2 (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 2 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 2 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 2 (/.f64 1 x)) (/.f64 1 (pow.f64 x 3))))
2
(+.f64 2 (*.f64 2 (/.f64 1 x)))
(+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3)))))
(*.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 1/2 (+.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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(-.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 1/8 (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)))
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(-.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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(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 x (*.f64 (sqrt.f64 1/2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2))))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 x (+.f64 1 (sqrt.f64 1/2))))) (+.f64 (*.f64 1/64 (/.f64 1 (*.f64 (pow.f64 x 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2))))) (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2))))))) (*.f64 -1/4 (/.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (sqrt.f64 1/2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2)))) (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2))))) (*.f64 (pow.f64 x 2) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (+.f64 (*.f64 1/32 (/.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (sqrt.f64 1/2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2)))) (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2))))) (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (+.f64 1 (sqrt.f64 1/2))))) (+.f64 (*.f64 1/4 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2)))) (*.f64 -1/4 (/.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (sqrt.f64 1/2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2)))) (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2))))) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))) (*.f64 1/4 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (*.f64 (sqrt.f64 1/2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 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 -1/4 (/.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (sqrt.f64 1/2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2)))) (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2))))) (*.f64 (pow.f64 x 2) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))))
(*.f64 3/4 (pow.f64 x 2))
(+.f64 (*.f64 -3/4 (pow.f64 x 4)) (*.f64 3/4 (pow.f64 x 2)))
(+.f64 (*.f64 -3/4 (pow.f64 x 4)) (+.f64 (*.f64 3/4 (pow.f64 x 2)) (*.f64 49/64 (pow.f64 x 6))))
(+.f64 (*.f64 -201/256 (pow.f64 x 8)) (+.f64 (*.f64 -3/4 (pow.f64 x 4)) (+.f64 (*.f64 3/4 (pow.f64 x 2)) (*.f64 49/64 (pow.f64 x 6)))))
7/8
(-.f64 7/8 (*.f64 3/8 (/.f64 1 x)))
(-.f64 7/8 (+.f64 (*.f64 3/8 (/.f64 1 x)) (*.f64 3/8 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 7/8 (*.f64 1/16 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 3/8 (/.f64 1 x)) (*.f64 3/8 (/.f64 1 (pow.f64 x 2)))))
7/8
(+.f64 7/8 (*.f64 3/8 (/.f64 1 x)))
(-.f64 (+.f64 7/8 (*.f64 3/8 (/.f64 1 x))) (*.f64 3/8 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 7/8 (*.f64 3/8 (/.f64 1 x))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 3))) (*.f64 3/8 (/.f64 1 (pow.f64 x 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))))
1
(+.f64 1 (*.f64 -3/4 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -3/4 (pow.f64 x 2)) (*.f64 3/4 (pow.f64 x 4))))
(+.f64 1 (+.f64 (*.f64 -49/64 (pow.f64 x 6)) (+.f64 (*.f64 -3/4 (pow.f64 x 2)) (*.f64 3/4 (pow.f64 x 4)))))
1/8
(+.f64 1/8 (*.f64 3/8 (/.f64 1 x)))
(+.f64 1/8 (+.f64 (*.f64 3/8 (/.f64 1 x)) (*.f64 3/8 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 1/8 (+.f64 (*.f64 3/8 (/.f64 1 x)) (*.f64 3/8 (/.f64 1 (pow.f64 x 2))))) (*.f64 1/16 (/.f64 1 (pow.f64 x 3))))
1/8
(-.f64 1/8 (*.f64 3/8 (/.f64 1 x)))
(-.f64 (+.f64 1/8 (*.f64 3/8 (/.f64 1 (pow.f64 x 2)))) (*.f64 3/8 (/.f64 1 x)))
(-.f64 (+.f64 1/8 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 3))) (*.f64 3/8 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/8 (/.f64 1 x)))
2
(+.f64 2 (*.f64 -3/4 (pow.f64 x 2)))
(+.f64 2 (+.f64 (*.f64 -3/4 (pow.f64 x 2)) (*.f64 5/8 (pow.f64 x 4))))
(+.f64 2 (+.f64 (*.f64 -3/4 (pow.f64 x 2)) (+.f64 (*.f64 -9/16 (pow.f64 x 6)) (*.f64 5/8 (pow.f64 x 4)))))
3/4
(+.f64 3/4 (/.f64 1 x))
(+.f64 3/4 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(-.f64 (+.f64 3/4 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 3))))
3/4
(-.f64 3/4 (/.f64 1 x))
(-.f64 (+.f64 3/4 (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) (/.f64 1 x))
(-.f64 (+.f64 3/4 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/2 (/.f64 1 (pow.f64 x 3))))) (/.f64 1 x))
(+.f64 1/4 (neg.f64 (/.f64 1/4 (fma.f64 x x 1))))
(*.f64 1 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1)))) 2) (cbrt.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1)))))
(*.f64 (sqrt.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1)))) (sqrt.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1)))))
(/.f64 (-.f64 1/64 (pow.f64 (/.f64 1/4 (fma.f64 x x 1)) 3)) (+.f64 1/16 (+.f64 (pow.f64 (/.f64 1/4 (fma.f64 x x 1)) 2) (*.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))))))
(/.f64 (-.f64 1/16 (pow.f64 (/.f64 1/4 (fma.f64 x x 1)) 2)) (+.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))))
(/.f64 (neg.f64 (-.f64 1/64 (pow.f64 (/.f64 1/4 (fma.f64 x x 1)) 3))) (neg.f64 (+.f64 1/16 (+.f64 (pow.f64 (/.f64 1/4 (fma.f64 x x 1)) 2) (*.f64 1/4 (/.f64 1/4 (fma.f64 x x 1)))))))
(/.f64 (neg.f64 (-.f64 1/16 (pow.f64 (/.f64 1/4 (fma.f64 x x 1)) 2))) (neg.f64 (+.f64 1/4 (/.f64 1/4 (fma.f64 x x 1)))))
(pow.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) 1)
(pow.f64 (cbrt.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1)))) 3)
(pow.f64 (pow.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1)))) 2)
(sqrt.f64 (pow.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) 2))
(log.f64 (exp.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))))))
(cbrt.f64 (pow.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) 3))
(expm1.f64 (log1p.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1)))))
(exp.f64 (log.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1)))))
(exp.f64 (*.f64 (log.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1)))) 1))
(log1p.f64 (expm1.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 1)
(*.f64 1 (/.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
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(pow.f64 (sqrt.f64 (/.f64 (-.f64 1/2 (/.f64 1/2 (sqrt.f64 (fma.f64 x x 1)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 2)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1/2 (/.f64 1/2 (sqrt.f64 (fma.f64 x x 1)))) (+.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 (sqrt.f64 (fma.f64 x x 1)))) (+.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 (sqrt.f64 (fma.f64 x x 1)))) (+.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 (sqrt.f64 (fma.f64 x x 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 (sqrt.f64 (fma.f64 x x 1)))) 3) (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 3) (pow.f64 (-.f64 1/2 (/.f64 1/2 (sqrt.f64 (fma.f64 x x 1)))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1/2 (/.f64 1/2 (sqrt.f64 (fma.f64 x x 1)))) 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 (sqrt.f64 (fma.f64 x x 1)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
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(exp.f64 (*.f64 (-.f64 (log.f64 (-.f64 1/2 (/.f64 1/2 (sqrt.f64 (fma.f64 x x 1))))) (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1/2 (/.f64 1/2 (sqrt.f64 (fma.f64 x x 1)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
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(*.f64 1 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3))) 2) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3))))
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3))) (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 9)) (+.f64 1 (+.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 6) (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 6)) (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 9))) (neg.f64 (+.f64 1 (+.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 6) (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 6))) (neg.f64 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3))))
(pow.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3)) 1)
(pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3))) 3)
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3))) 2)
(sqrt.f64 (pow.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3)) 2))
(log.f64 (exp.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3)))))
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(expm1.f64 (log1p.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3))))
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(exp.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3))) 1))
(log1p.f64 (expm1.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3))))
(-.f64 (/.f64 1 (fma.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) 1)) (/.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3) (fma.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) 1)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3)) (fma.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) 1)))) 1)
(*.f64 1 (/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3)) (fma.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) 1)))
(*.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3)) (/.f64 1 (fma.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) 1)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3)) (fma.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) 1))) 2) (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3)) (fma.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) 1))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3)) (fma.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) 1))) (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3)) (fma.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) 1))))
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(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3))) 1) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3))) (fma.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) 1)))
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(pow.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3)) (fma.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) 1)) 1)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3)) (fma.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) 1))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3)) (fma.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3)) (fma.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) 1))) 2)
(pow.f64 (/.f64 (fma.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) 1) (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3))) -1)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3)) (fma.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) 1)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3)) (fma.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) 1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3)) (fma.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) 1)))))
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(exp.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3))) (log1p.f64 (*.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2)))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3))) (log1p.f64 (*.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2)))) 1))
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(-.f64 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3)) 1)
(*.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3))
(*.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2))
(*.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 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2) (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2) 3) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
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(exp.f64 (*.f64 3 (log.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
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(+.f64 (*.f64 (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) 1/2) (*.f64 (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) (/.f64 1/2 (hypot.f64 1 x))))
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(-.f64 (fma.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) 1) 1)
(/.f64 (*.f64 (+.f64 1/8 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3))) (+.f64 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)) 27/8)) (*.f64 (+.f64 1/4 (-.f64 (/.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 (pow.f64 x 2))) (-.f64 9/4 (*.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2)))))
(/.f64 (*.f64 (+.f64 1/8 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3))) (-.f64 (/.f64 1/4 (+.f64 1 (pow.f64 x 2))) 9/4)) (*.f64 (+.f64 1/4 (-.f64 (/.f64 1/4 (+.f64 1 (pow.f64 x 2))) (*.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2)))
(/.f64 (*.f64 (-.f64 1/4 (/.f64 1/4 (+.f64 1 (pow.f64 x 2)))) (+.f64 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)) 27/8)) (*.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/4 (+.f64 1 (pow.f64 x 2))) (-.f64 9/4 (*.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2)))))
(/.f64 (*.f64 (-.f64 1/4 (/.f64 1/4 (+.f64 1 (pow.f64 x 2)))) (-.f64 (/.f64 1/4 (+.f64 1 (pow.f64 x 2))) 9/4)) (*.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (-.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2)))
(/.f64 (*.f64 (+.f64 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)) 27/8) (+.f64 1/8 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)))) (*.f64 (+.f64 (/.f64 1/4 (+.f64 1 (pow.f64 x 2))) (-.f64 9/4 (*.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2))) (+.f64 1/4 (-.f64 (/.f64 1/4 (+.f64 1 (pow.f64 x 2))) (*.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(/.f64 (*.f64 (+.f64 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)) 27/8) (-.f64 1/4 (/.f64 1/4 (+.f64 1 (pow.f64 x 2))))) (*.f64 (+.f64 (/.f64 1/4 (+.f64 1 (pow.f64 x 2))) (-.f64 9/4 (*.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2))) (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(/.f64 (*.f64 (-.f64 (/.f64 1/4 (+.f64 1 (pow.f64 x 2))) 9/4) (+.f64 1/8 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)))) (*.f64 (-.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) (+.f64 1/4 (-.f64 (/.f64 1/4 (+.f64 1 (pow.f64 x 2))) (*.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(/.f64 (*.f64 (-.f64 (/.f64 1/4 (+.f64 1 (pow.f64 x 2))) 9/4) (-.f64 1/4 (/.f64 1/4 (+.f64 1 (pow.f64 x 2))))) (*.f64 (-.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(pow.f64 (*.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2))) 2)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2)) (+.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 (/.f64 1/2 (hypot.f64 1 x)) 3/2)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2))))
(exp.f64 (log.f64 (*.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2))))
(fma.f64 1/2 (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) (*.f64 (/.f64 1/2 (hypot.f64 1 x)) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2)))
(fma.f64 (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) 1/2 (*.f64 (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) (/.f64 1/2 (hypot.f64 1 x))))
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 (+.f64 1/4 (/.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 (/.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 (+.f64 1/4 (/.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 (/.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
(+.f64 1 (*.f64 1/4 (pow.f64 x 2)))
(+.f64 (*.f64 1/4 (pow.f64 x 2)) 1)
(fma.f64 1/4 (pow.f64 x 2) 1)
(+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 1/4 (pow.f64 x 2))))
(+.f64 1 (fma.f64 -1/8 (pow.f64 x 4) (*.f64 1/4 (pow.f64 x 2))))
(+.f64 1 (fma.f64 (pow.f64 x 4) -1/8 (*.f64 1/4 (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (+.f64 (*.f64 5/64 (pow.f64 x 6)) (*.f64 1/4 (pow.f64 x 2)))))
(+.f64 1 (fma.f64 -1/8 (pow.f64 x 4) (fma.f64 5/64 (pow.f64 x 6) (*.f64 1/4 (pow.f64 x 2)))))
(+.f64 1 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 (pow.f64 x 6) 5/64 (*.f64 1/4 (pow.f64 x 2)))))
2
(-.f64 2 (*.f64 2 (/.f64 1 x)))
(-.f64 2 (/.f64 2 x))
(+.f64 2 (/.f64 -2 x))
(-.f64 (+.f64 2 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 2 (/.f64 2 (pow.f64 x 2))) (/.f64 2 x))
(+.f64 2 (+.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 -2 x)))
(-.f64 (+.f64 2 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 2 (/.f64 1 x)) (/.f64 1 (pow.f64 x 3))))
(+.f64 2 (-.f64 (/.f64 2 (pow.f64 x 2)) (+.f64 (/.f64 2 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 2 (-.f64 (+.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 -2 x)) (/.f64 1 (pow.f64 x 3))))
2
(+.f64 2 (*.f64 2 (/.f64 1 x)))
(+.f64 2 (/.f64 2 x))
(+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (+.f64 2 (/.f64 2 x)) (/.f64 2 (pow.f64 x 2)))
(+.f64 (/.f64 2 (pow.f64 x 2)) (+.f64 2 (/.f64 2 x)))
(+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3)))))
(+.f64 2 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (+.f64 (+.f64 2 (/.f64 2 x)) (/.f64 1 (pow.f64 x 3))) (/.f64 2 (pow.f64 x 2)))
(*.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)))
(fma.f64 1/4 (pow.f64 x 2) (*.f64 (pow.f64 x 4) -3/16))
(+.f64 (*.f64 -3/16 (pow.f64 x 4)) (+.f64 (*.f64 5/32 (pow.f64 x 6)) (*.f64 1/4 (pow.f64 x 2))))
(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 (pow.f64 x 4) -3/16 (fma.f64 1/4 (pow.f64 x 2) (*.f64 (pow.f64 x 6) 5/32)))
(+.f64 (*.f64 -3/16 (pow.f64 x 4)) (+.f64 (*.f64 -35/256 (pow.f64 x 8)) (+.f64 (*.f64 5/32 (pow.f64 x 6)) (*.f64 1/4 (pow.f64 x 2)))))
(fma.f64 -3/16 (pow.f64 x 4) (fma.f64 -35/256 (pow.f64 x 8) (fma.f64 5/32 (pow.f64 x 6) (*.f64 1/4 (pow.f64 x 2)))))
(fma.f64 (pow.f64 x 4) -3/16 (fma.f64 (pow.f64 x 8) -35/256 (fma.f64 1/4 (pow.f64 x 2) (*.f64 (pow.f64 x 6) 5/32))))
1/2
(-.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(-.f64 1/2 (/.f64 1/2 x))
(+.f64 1/2 (/.f64 -1/2 x))
(-.f64 (+.f64 1/2 (*.f64 1/4 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (/.f64 1 x)))
(+.f64 1/2 (-.f64 (/.f64 1/4 (pow.f64 x 3)) (/.f64 1/2 x)))
(+.f64 1/2 (+.f64 (/.f64 1/4 (pow.f64 x 3)) (/.f64 -1/2 x)))
(-.f64 (+.f64 1/2 (*.f64 1/4 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 3/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 1/2 (-.f64 (/.f64 1/4 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 3/16 (pow.f64 x 5)))))
1/2
(+.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(+.f64 1/2 (/.f64 1/2 x))
(-.f64 (+.f64 1/2 (*.f64 1/2 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 3))))
(+.f64 1/2 (-.f64 (/.f64 1/2 x) (/.f64 1/4 (pow.f64 x 3))))
(+.f64 1/2 (+.f64 (/.f64 1/2 x) (/.f64 -1/4 (pow.f64 x 3))))
(-.f64 (+.f64 1/2 (+.f64 (*.f64 3/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 3))))
(+.f64 1/2 (-.f64 (+.f64 (/.f64 1/2 x) (/.f64 3/16 (pow.f64 x 5))) (/.f64 1/4 (pow.f64 x 3))))
(+.f64 1/2 (+.f64 (/.f64 1/2 x) (-.f64 (/.f64 3/16 (pow.f64 x 5)) (/.f64 1/4 (pow.f64 x 3)))))
(/.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 (+.f64 1 (sqrt.f64 1/2)) (+.f64 1/2 (sqrt.f64 1/2)))) (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))) x))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (sqrt.f64 1/2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2)))) (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2))))) x)) (+.f64 (*.f64 1/64 (/.f64 1 (*.f64 (pow.f64 x 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2))))) (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))))) (*.f64 -1/4 (/.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (sqrt.f64 1/2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2)))) (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2))))) (*.f64 (pow.f64 x 2) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))))
(-.f64 (fma.f64 -1 (/.f64 (+.f64 (/.f64 1/8 (*.f64 (sqrt.f64 1/2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2))) (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))) x) (+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (/.f64 1/64 (*.f64 (pow.f64 x 2) (*.f64 (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2) (pow.f64 (sqrt.f64 1/2) 3)))))) (*.f64 -1/4 (/.f64 (+.f64 (/.f64 1/8 (*.f64 (sqrt.f64 1/2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2))) (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))) (*.f64 (pow.f64 x 2) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))))
(+.f64 (+.f64 (-.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (/.f64 (+.f64 (/.f64 1/8 (*.f64 (+.f64 1 (sqrt.f64 1/2)) (+.f64 1/2 (sqrt.f64 1/2)))) (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))) x)) (/.f64 1/64 (*.f64 (pow.f64 x 2) (*.f64 1/2 (*.f64 (+.f64 1 (sqrt.f64 1/2)) (+.f64 1/2 (sqrt.f64 1/2))))))) (*.f64 1/4 (/.f64 (+.f64 (/.f64 1/8 (*.f64 (+.f64 1 (sqrt.f64 1/2)) (+.f64 1/2 (sqrt.f64 1/2)))) (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))) (*.f64 (pow.f64 x 2) (+.f64 1/2 (sqrt.f64 1/2))))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/32 (/.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (sqrt.f64 1/2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2)))) (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2))))) (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (+.f64 1 (sqrt.f64 1/2))))) (+.f64 (*.f64 1/4 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2)))) (*.f64 -1/4 (/.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (sqrt.f64 1/2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2)))) (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2))))) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))) (*.f64 1/256 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2)))))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (sqrt.f64 1/2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2)))) (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2))))) x)) (+.f64 (*.f64 1/64 (/.f64 1 (*.f64 (pow.f64 x 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2))))) (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2))))))) (*.f64 -1/4 (/.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (sqrt.f64 1/2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2)))) (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2))))) (*.f64 (pow.f64 x 2) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))))
(+.f64 (fma.f64 -1 (/.f64 (fma.f64 1/32 (/.f64 (+.f64 (/.f64 1/8 (*.f64 (sqrt.f64 1/2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2))) (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))) (*.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 (sqrt.f64 1/2) 3))) (fma.f64 1/4 (/.f64 (-.f64 (/.f64 1/64 (*.f64 (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2) (pow.f64 (sqrt.f64 1/2) 3))) (*.f64 -1/4 (/.f64 (+.f64 (/.f64 1/8 (*.f64 (sqrt.f64 1/2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2))) (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))) (/.f64 1/256 (*.f64 (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2) (pow.f64 (sqrt.f64 1/2) 5))))) (pow.f64 x 3)) (fma.f64 -1 (/.f64 (+.f64 (/.f64 1/8 (*.f64 (sqrt.f64 1/2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2))) (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))) x) (+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (/.f64 1/64 (*.f64 (pow.f64 x 2) (*.f64 (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2) (pow.f64 (sqrt.f64 1/2) 3))))))) (*.f64 1/4 (/.f64 (+.f64 (/.f64 1/8 (*.f64 (sqrt.f64 1/2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2))) (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))) (*.f64 (pow.f64 x 2) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))))
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7/8
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7/8
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1/2
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1/2
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(-.f64 (+.f64 1/2 (+.f64 (*.f64 3/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 3))))
(+.f64 1/2 (-.f64 (+.f64 (/.f64 1/2 x) (/.f64 3/16 (pow.f64 x 5))) (/.f64 1/4 (pow.f64 x 3))))
(+.f64 1/2 (+.f64 (/.f64 1/2 x) (-.f64 (/.f64 3/16 (pow.f64 x 5)) (/.f64 1/4 (pow.f64 x 3)))))
1
(+.f64 1 (*.f64 -3/4 (pow.f64 x 2)))
(+.f64 1 (*.f64 (pow.f64 x 2) -3/4))
(fma.f64 (pow.f64 x 2) -3/4 1)
(+.f64 1 (+.f64 (*.f64 -3/4 (pow.f64 x 2)) (*.f64 3/4 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -3/4 (pow.f64 x 2) (*.f64 (pow.f64 x 4) 3/4)))
(+.f64 1 (fma.f64 (pow.f64 x 4) 3/4 (*.f64 (pow.f64 x 2) -3/4)))
(+.f64 1 (+.f64 (*.f64 -49/64 (pow.f64 x 6)) (+.f64 (*.f64 -3/4 (pow.f64 x 2)) (*.f64 3/4 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -49/64 (pow.f64 x 6) (fma.f64 -3/4 (pow.f64 x 2) (*.f64 (pow.f64 x 4) 3/4))))
(+.f64 1 (fma.f64 (pow.f64 x 6) -49/64 (fma.f64 (pow.f64 x 4) 3/4 (*.f64 (pow.f64 x 2) -3/4))))
1/8
(+.f64 1/8 (*.f64 3/8 (/.f64 1 x)))
(+.f64 1/8 (/.f64 3/8 x))
(+.f64 1/8 (+.f64 (*.f64 3/8 (/.f64 1 x)) (*.f64 3/8 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1/8 (+.f64 (/.f64 3/8 x) (/.f64 3/8 (pow.f64 x 2))))
(-.f64 (+.f64 1/8 (+.f64 (*.f64 3/8 (/.f64 1 x)) (*.f64 3/8 (/.f64 1 (pow.f64 x 2))))) (*.f64 1/16 (/.f64 1 (pow.f64 x 3))))
(+.f64 1/8 (-.f64 (+.f64 (/.f64 3/8 x) (/.f64 3/8 (pow.f64 x 2))) (/.f64 1/16 (pow.f64 x 3))))
(+.f64 1/8 (+.f64 (/.f64 3/8 (pow.f64 x 2)) (-.f64 (/.f64 3/8 x) (/.f64 1/16 (pow.f64 x 3)))))
1/8
(-.f64 1/8 (*.f64 3/8 (/.f64 1 x)))
(-.f64 1/8 (/.f64 3/8 x))
(+.f64 1/8 (/.f64 -3/8 x))
(-.f64 (+.f64 1/8 (*.f64 3/8 (/.f64 1 (pow.f64 x 2)))) (*.f64 3/8 (/.f64 1 x)))
(+.f64 1/8 (-.f64 (/.f64 3/8 (pow.f64 x 2)) (/.f64 3/8 x)))
(+.f64 1/8 (+.f64 (/.f64 3/8 (pow.f64 x 2)) (/.f64 -3/8 x)))
(-.f64 (+.f64 1/8 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 3))) (*.f64 3/8 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/8 (/.f64 1 x)))
(-.f64 (+.f64 (+.f64 1/8 (/.f64 1/16 (pow.f64 x 3))) (/.f64 3/8 (pow.f64 x 2))) (/.f64 3/8 x))
(+.f64 1/8 (+.f64 (/.f64 3/8 (pow.f64 x 2)) (-.f64 (/.f64 1/16 (pow.f64 x 3)) (/.f64 3/8 x))))
2
(+.f64 2 (*.f64 -3/4 (pow.f64 x 2)))
(+.f64 2 (*.f64 (pow.f64 x 2) -3/4))
(fma.f64 (pow.f64 x 2) -3/4 2)
(+.f64 2 (+.f64 (*.f64 -3/4 (pow.f64 x 2)) (*.f64 5/8 (pow.f64 x 4))))
(+.f64 2 (fma.f64 -3/4 (pow.f64 x 2) (*.f64 (pow.f64 x 4) 5/8)))
(+.f64 (fma.f64 (pow.f64 x 2) -3/4 2) (*.f64 (pow.f64 x 4) 5/8))
(+.f64 2 (+.f64 (*.f64 -3/4 (pow.f64 x 2)) (+.f64 (*.f64 -9/16 (pow.f64 x 6)) (*.f64 5/8 (pow.f64 x 4)))))
(+.f64 2 (fma.f64 -3/4 (pow.f64 x 2) (fma.f64 -9/16 (pow.f64 x 6) (*.f64 (pow.f64 x 4) 5/8))))
(+.f64 (fma.f64 (pow.f64 x 2) -3/4 2) (fma.f64 (pow.f64 x 4) 5/8 (*.f64 (pow.f64 x 6) -9/16)))
3/4
(+.f64 3/4 (/.f64 1 x))
(+.f64 (/.f64 1 x) 3/4)
(+.f64 3/4 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(+.f64 3/4 (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 1 x)))
(+.f64 (/.f64 1/4 (pow.f64 x 2)) (+.f64 (/.f64 1 x) 3/4))
(-.f64 (+.f64 3/4 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 3))))
(+.f64 3/4 (-.f64 (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 1 x)) (/.f64 1/2 (pow.f64 x 3))))
(+.f64 3/4 (+.f64 (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 1 x)) (/.f64 -1/2 (pow.f64 x 3))))
3/4
(-.f64 3/4 (/.f64 1 x))
(-.f64 (+.f64 3/4 (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) (/.f64 1 x))
(+.f64 3/4 (-.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 1 x)))
(+.f64 (/.f64 1/4 (pow.f64 x 2)) (-.f64 3/4 (/.f64 1 x)))
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(+.f64 3/4 (-.f64 (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 1/2 (pow.f64 x 3))) (/.f64 1 x)))
(+.f64 (+.f64 (/.f64 1/4 (pow.f64 x 2)) 3/4) (+.f64 (/.f64 1/2 (pow.f64 x 3)) (/.f64 -1 x)))
(+.f64 1/4 (neg.f64 (/.f64 1/4 (fma.f64 x x 1))))
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(*.f64 1 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))))
(+.f64 1/4 (/.f64 -1/4 (fma.f64 x x 1)))
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(+.f64 1/4 (/.f64 -1/4 (fma.f64 x x 1)))
(*.f64 (sqrt.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1)))) (sqrt.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1)))))
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(/.f64 (-.f64 1/64 (/.f64 1/64 (pow.f64 (fma.f64 x x 1) 3))) (+.f64 1/16 (+.f64 (pow.f64 (/.f64 1/4 (fma.f64 x x 1)) 2) (/.f64 1/16 (fma.f64 x x 1)))))
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(/.f64 (neg.f64 (-.f64 1/16 (pow.f64 (/.f64 1/4 (fma.f64 x x 1)) 2))) (neg.f64 (+.f64 1/4 (/.f64 1/4 (fma.f64 x x 1)))))
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(+.f64 1/4 (/.f64 -1/4 (fma.f64 x x 1)))
(pow.f64 (cbrt.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1)))) 3)
(+.f64 1/4 (/.f64 -1/4 (fma.f64 x x 1)))
(pow.f64 (pow.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) 3) 1/3)
(+.f64 1/4 (/.f64 -1/4 (fma.f64 x x 1)))
(pow.f64 (sqrt.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1)))) 2)
(+.f64 1/4 (/.f64 -1/4 (fma.f64 x x 1)))
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(fabs.f64 (+.f64 1/4 (/.f64 -1/4 (fma.f64 x x 1))))
(log.f64 (exp.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1)))))
(+.f64 1/4 (/.f64 -1/4 (fma.f64 x x 1)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))))))
(+.f64 1/4 (/.f64 -1/4 (fma.f64 x x 1)))
(cbrt.f64 (pow.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) 3))
(+.f64 1/4 (/.f64 -1/4 (fma.f64 x x 1)))
(expm1.f64 (log1p.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1)))))
(+.f64 1/4 (/.f64 -1/4 (fma.f64 x x 1)))
(exp.f64 (log.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1)))))
(+.f64 1/4 (/.f64 -1/4 (fma.f64 x x 1)))
(exp.f64 (*.f64 (log.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1)))) 1))
(+.f64 1/4 (/.f64 -1/4 (fma.f64 x x 1)))
(log1p.f64 (expm1.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1)))))
(+.f64 1/4 (/.f64 -1/4 (fma.f64 x x 1)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 1)
(/.f64 1 (+.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 1/2 (/.f64 1/2 (hypot.f64 1 x))))
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(/.f64 (cbrt.f64 (pow.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 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) -1/2) (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) -1/2))
(/.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1))
(pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2)))
(pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) -1)
(/.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(pow.f64 (/.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 1)
(/.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3)
(/.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(pow.f64 (pow.f64 (/.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 3) 1/3)
(/.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) -1/2) 2)
(/.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(pow.f64 (/.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1) -1)
(/.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(sqrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(/.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 3))
(/.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(exp.f64 (neg.f64 (log.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 1 (+.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 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1))
(/.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 1)
(/.f64 (+.f64 1/4 (/.f64 -1/4 (fma.f64 x x 1))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(-.f64 (/.f64 1/4 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (/.f64 (/.f64 1/4 (fma.f64 x x 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))))
(/.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 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))))
(/.f64 (*.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) 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))))
(/.f64 (*.f64 (-.f64 1/64 (pow.f64 (/.f64 1/4 (fma.f64 x x 1)) 3)) 1) (*.f64 (+.f64 1/16 (+.f64 (pow.f64 (/.f64 1/4 (fma.f64 x x 1)) 2) (*.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(/.f64 (-.f64 1/64 (/.f64 1/64 (pow.f64 (fma.f64 x x 1) 3))) (*.f64 (+.f64 1/16 (+.f64 (pow.f64 (/.f64 1/4 (fma.f64 x x 1)) 2) (/.f64 1/16 (fma.f64 x x 1)))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(/.f64 (/.f64 (-.f64 1/64 (/.f64 1/64 (pow.f64 (fma.f64 x x 1) 3))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 1/16 (+.f64 (pow.f64 (/.f64 1/4 (fma.f64 x x 1)) 2) (/.f64 1/16 (fma.f64 x x 1)))))
(/.f64 (*.f64 (-.f64 1/64 (pow.f64 (/.f64 1/4 (fma.f64 x x 1)) 3)) 1) (*.f64 (+.f64 1/16 (+.f64 (pow.f64 (/.f64 1/4 (fma.f64 x x 1)) 2) (*.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))))) (/.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1)))
(/.f64 (-.f64 1/64 (/.f64 1/64 (pow.f64 (fma.f64 x x 1) 3))) (*.f64 (+.f64 1/16 (+.f64 (pow.f64 (/.f64 1/4 (fma.f64 x x 1)) 2) (/.f64 1/16 (fma.f64 x x 1)))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(/.f64 (/.f64 (-.f64 1/64 (/.f64 1/64 (pow.f64 (fma.f64 x x 1) 3))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 1/16 (+.f64 (pow.f64 (/.f64 1/4 (fma.f64 x x 1)) 2) (/.f64 1/16 (fma.f64 x x 1)))))
(/.f64 (*.f64 (-.f64 1/64 (pow.f64 (/.f64 1/4 (fma.f64 x x 1)) 3)) -1) (*.f64 (+.f64 1/16 (+.f64 (pow.f64 (/.f64 1/4 (fma.f64 x x 1)) 2) (*.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))))) (neg.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
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(/.f64 (/.f64 (+.f64 -1/64 (/.f64 1/64 (pow.f64 (fma.f64 x x 1) 3))) (+.f64 -1/2 (/.f64 -1/2 (hypot.f64 1 x)))) (+.f64 1/16 (+.f64 (pow.f64 (/.f64 1/4 (fma.f64 x x 1)) 2) (/.f64 1/16 (fma.f64 x x 1)))))
(/.f64 (*.f64 (-.f64 1/16 (pow.f64 (/.f64 1/4 (fma.f64 x x 1)) 2)) 1) (*.f64 (+.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(/.f64 (-.f64 1/16 (pow.f64 (/.f64 1/4 (fma.f64 x x 1)) 2)) (*.f64 (+.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(/.f64 (/.f64 (-.f64 1/16 (pow.f64 (/.f64 1/4 (fma.f64 x x 1)) 2)) (+.f64 1/4 (/.f64 1/4 (fma.f64 x x 1)))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(/.f64 (*.f64 (-.f64 1/16 (pow.f64 (/.f64 1/4 (fma.f64 x x 1)) 2)) 1) (*.f64 (+.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) (/.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1)))
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(*.f64 (/.f64 (+.f64 (/.f64 1/4 (fma.f64 x x 1)) -9/4) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) -3/2)) (/.f64 (+.f64 1/4 (/.f64 -1/4 (fma.f64 x x 1))) (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))))
(/.f64 (*.f64 (+.f64 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)) 27/8) (+.f64 1/8 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)))) (*.f64 (+.f64 (/.f64 1/4 (+.f64 1 (pow.f64 x 2))) (-.f64 9/4 (*.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2))) (+.f64 1/4 (-.f64 (/.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))) (+.f64 1/4 (-.f64 (/.f64 1/4 (fma.f64 x x 1)) (/.f64 1/4 (hypot.f64 1 x))))) (/.f64 (+.f64 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)) 27/8) (+.f64 (/.f64 1/4 (fma.f64 x x 1)) (-.f64 9/4 (/.f64 3/4 (hypot.f64 1 x))))))
(/.f64 (+.f64 1/8 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3))) (/.f64 (*.f64 (+.f64 (/.f64 1/4 (fma.f64 x x 1)) (-.f64 1/4 (/.f64 1/4 (hypot.f64 1 x)))) (-.f64 9/4 (-.f64 (/.f64 3/4 (hypot.f64 1 x)) (/.f64 1/4 (fma.f64 x x 1))))) (+.f64 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)) 27/8)))
(/.f64 (*.f64 (+.f64 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)) 27/8) (-.f64 1/4 (/.f64 1/4 (+.f64 1 (pow.f64 x 2))))) (*.f64 (+.f64 (/.f64 1/4 (+.f64 1 (pow.f64 x 2))) (-.f64 9/4 (*.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2))) (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(*.f64 (/.f64 (+.f64 1/4 (/.f64 -1/4 (fma.f64 x x 1))) (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (/.f64 (+.f64 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)) 27/8) (+.f64 (/.f64 1/4 (fma.f64 x x 1)) (-.f64 9/4 (/.f64 3/4 (hypot.f64 1 x))))))
(*.f64 (/.f64 (+.f64 1/4 (/.f64 -1/4 (fma.f64 x x 1))) (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) (/.f64 (+.f64 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)) 27/8) (-.f64 9/4 (-.f64 (/.f64 3/4 (hypot.f64 1 x)) (/.f64 1/4 (fma.f64 x x 1))))))
(/.f64 (*.f64 (-.f64 (/.f64 1/4 (+.f64 1 (pow.f64 x 2))) 9/4) (+.f64 1/8 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)))) (*.f64 (-.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) (+.f64 1/4 (-.f64 (/.f64 1/4 (+.f64 1 (pow.f64 x 2))) (*.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(*.f64 (/.f64 (+.f64 (/.f64 1/4 (fma.f64 x x 1)) -9/4) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) -3/2)) (/.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 (/.f64 (+.f64 (/.f64 1/4 (fma.f64 x x 1)) -9/4) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) -3/2)) (/.f64 (+.f64 1/8 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3))) (+.f64 (/.f64 1/4 (fma.f64 x x 1)) (-.f64 1/4 (/.f64 1/4 (hypot.f64 1 x))))))
(/.f64 (*.f64 (-.f64 (/.f64 1/4 (+.f64 1 (pow.f64 x 2))) 9/4) (-.f64 1/4 (/.f64 1/4 (+.f64 1 (pow.f64 x 2))))) (*.f64 (-.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(*.f64 (/.f64 (+.f64 (/.f64 1/4 (fma.f64 x x 1)) -9/4) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) -3/2)) (/.f64 (+.f64 1/4 (/.f64 -1/4 (fma.f64 x x 1))) (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(*.f64 (/.f64 (+.f64 (/.f64 1/4 (fma.f64 x x 1)) -9/4) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) -3/2)) (/.f64 (+.f64 1/4 (/.f64 -1/4 (fma.f64 x x 1))) (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))))
(pow.f64 (*.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2)) 1)
(*.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2))) 3)
(*.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2))
(pow.f64 (pow.f64 (*.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2)) 3) 1/3)
(*.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2))) 2)
(*.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2)) 2))
(fabs.f64 (*.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2)))
(log.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2)) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(*.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2)))))
(*.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2)) 3))
(*.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2))))
(*.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2))
(exp.f64 (log.f64 (*.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2))))
(*.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2))) 1))
(*.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2))))
(*.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2))
(fma.f64 1/2 (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) (*.f64 (/.f64 1/2 (hypot.f64 1 x)) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2)))
(*.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2))
(fma.f64 (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) 1/2 (*.f64 (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) (/.f64 1/2 (hypot.f64 1 x))))
(*.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2))

eval1.0s (7.2%)

Compiler

Compiled 32128 to 28520 computations (11.2% saved)

prune181.0ms (1.3%)

Pruning

20 alts after pruning (6 fresh and 14 done)

PrunedKeptTotal
New9003903
Fresh134
Picked145
Done01010
Total90220922
Accuracy
100.0%
Counts
922 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
81.1%
(/.f64 (/.f64 (/.f64 (-.f64 1/16 (pow.f64 (/.f64 1/4 (fma.f64 x x 1)) 2)) (+.f64 1/4 (/.f64 1/4 (fma.f64 x x 1)))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
81.1%
(/.f64 (/.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
81.0%
(/.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))))))
38.2%
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2)
54.7%
(/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
81.1%
(/.f64 (-.f64 1/2 (sqrt.f64 (/.f64 1/4 (fma.f64 x x 1)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
79.7%
(/.f64 (*.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
81.1%
(/.f64 (*.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) (/.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
81.1%
(/.f64 (exp.f64 (log.f64 (/.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
55.6%
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
80.2%
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
53.9%
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
53.6%
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
80.2%
(-.f64 1 (sqrt.f64 (+.f64 1/2 (sqrt.f64 (/.f64 1/4 (fma.f64 x x 1))))))
54.8%
(-.f64 1 (sqrt.f64 1/2))
45.5%
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 1/8 (pow.f64 x 2))))
45.0%
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 1/8 (pow.f64 x 2)))
46.9%
(*.f64 (pow.f64 x 2) 1/8)
81.0%
(*.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)))))))
81.0%
(*.f64 (-.f64 1/2 (sqrt.f64 (/.f64 1/4 (fma.f64 x x 1)))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
Compiler

Compiled 871 to 760 computations (12.7% saved)

regimes102.0ms (0.7%)

Counts
27 → 2
Calls
Call 1
Inputs
(-.f64 1 (sqrt.f64 1/2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) 1/8)
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2)
(/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(-.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 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (sqrt.f64 (/.f64 1/4 (fma.f64 x x 1))))))
(+.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)))))))
(/.f64 (-.f64 1/2 (sqrt.f64 (/.f64 1/4 (fma.f64 x x 1)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(*.f64 (-.f64 1/2 (sqrt.f64 (/.f64 1/4 (fma.f64 x x 1)))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(/.f64 (/.f64 (+.f64 1/4 (/.f64 -1/4 (fma.f64 x x 1))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 (/.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 (*.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) (/.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 (*.f64 (-.f64 1/4 (/.f64 1/4 (+.f64 (pow.f64 x 2) 1))) (/.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 (exp.f64 (log.f64 (/.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 (*.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 (/.f64 (/.f64 (-.f64 1/16 (pow.f64 (/.f64 1/4 (fma.f64 x x 1)) 2)) (+.f64 1/4 (/.f64 1/4 (fma.f64 x x 1)))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3)) (+.f64 1 (*.f64 (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) (+.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 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3)) (+.f64 1 (*.f64 (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) (+.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)))))))
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 (-.f64 1/16 (pow.f64 (/.f64 1/4 (fma.f64 x x 1)) 2)) (+.f64 1/4 (/.f64 1/4 (fma.f64 x x 1)))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
Calls

7 calls:

46.0ms
x
19.0ms
(/.f64 1 (hypot.f64 1 x))
13.0ms
(hypot.f64 1 x)
6.0ms
(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
5.0ms
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
Results
AccuracySegmentsBranch
100.0%3x
100.0%2(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
100.0%2(sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))
100.0%2(*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))
100.0%2(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
100.0%2(/.f64 1 (hypot.f64 1 x))
100.0%2(hypot.f64 1 x)
Compiler

Compiled 54 to 47 computations (13% saved)

regimes155.0ms (1.1%)

Counts
24 → 2
Calls
Call 1
Inputs
(-.f64 1 (sqrt.f64 1/2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) 1/8)
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2)
(/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(-.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 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (sqrt.f64 (/.f64 1/4 (fma.f64 x x 1))))))
(+.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)))))))
(/.f64 (-.f64 1/2 (sqrt.f64 (/.f64 1/4 (fma.f64 x x 1)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(*.f64 (-.f64 1/2 (sqrt.f64 (/.f64 1/4 (fma.f64 x x 1)))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(/.f64 (/.f64 (+.f64 1/4 (/.f64 -1/4 (fma.f64 x x 1))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 (/.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 (*.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) (/.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 (*.f64 (-.f64 1/4 (/.f64 1/4 (+.f64 (pow.f64 x 2) 1))) (/.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 (exp.f64 (log.f64 (/.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 (*.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
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 1/4 (fma.f64 x x 1))) (/.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
Calls

6 calls:

73.0ms
(hypot.f64 1 x)
56.0ms
(/.f64 1 (hypot.f64 1 x))
10.0ms
(sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))
5.0ms
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
5.0ms
(*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))
Results
AccuracySegmentsBranch
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 52 to 46 computations (11.5% saved)

regimes105.0ms (0.7%)

Counts
20 → 2
Calls
Call 1
Inputs
(-.f64 1 (sqrt.f64 1/2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) 1/8)
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2)
(/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(-.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 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (sqrt.f64 (/.f64 1/4 (fma.f64 x x 1))))))
(+.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)))))))
(/.f64 (-.f64 1/2 (sqrt.f64 (/.f64 1/4 (fma.f64 x x 1)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(*.f64 (-.f64 1/2 (sqrt.f64 (/.f64 1/4 (fma.f64 x x 1)))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(/.f64 (/.f64 (+.f64 1/4 (/.f64 -1/4 (fma.f64 x x 1))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 (/.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
Outputs
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 1/8 (pow.f64 x 2))))
(/.f64 (-.f64 1/2 (sqrt.f64 (/.f64 1/4 (fma.f64 x x 1)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
Calls

6 calls:

76.0ms
(/.f64 1 (hypot.f64 1 x))
8.0ms
(hypot.f64 1 x)
6.0ms
(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
5.0ms
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
4.0ms
(sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))
Results
AccuracySegmentsBranch
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 52 to 46 computations (11.5% saved)

regimes43.0ms (0.3%)

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

6 calls:

17.0ms
(/.f64 1 (hypot.f64 1 x))
7.0ms
(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))))))
4.0ms
(*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))
Results
AccuracySegmentsBranch
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 52 to 46 computations (11.5% saved)

regimes169.0ms (1.2%)

Counts
14 → 2
Calls
Call 1
Inputs
(-.f64 1 (sqrt.f64 1/2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) 1/8)
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2)
(/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(-.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 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (sqrt.f64 (/.f64 1/4 (fma.f64 x x 1))))))
(+.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 1 (sqrt.f64 (+.f64 1/2 (sqrt.f64 (/.f64 1/4 (fma.f64 x x 1))))))
Calls

6 calls:

136.0ms
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
13.0ms
(/.f64 1 (hypot.f64 1 x))
7.0ms
(hypot.f64 1 x)
4.0ms
(sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))
4.0ms
(*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))
Results
AccuracySegmentsBranch
99.1%2(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
99.1%2(sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))
99.1%2(*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))
99.1%2(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
99.1%2(/.f64 1 (hypot.f64 1 x))
99.1%2(hypot.f64 1 x)
Compiler

Compiled 52 to 46 computations (11.5% saved)

regimes189.0ms (1.3%)

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

6 calls:

151.0ms
(sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))
18.0ms
(/.f64 1 (hypot.f64 1 x))
7.0ms
(hypot.f64 1 x)
4.0ms
(*.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
99.0%2(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
99.0%2(sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))
99.0%2(*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))
99.0%2(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
99.0%2(/.f64 1 (hypot.f64 1 x))
99.0%2(hypot.f64 1 x)
Compiler

Compiled 52 to 46 computations (11.5% saved)

regimes56.0ms (0.4%)

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

6 calls:

31.0ms
(/.f64 1 (hypot.f64 1 x))
6.0ms
(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))))))
4.0ms
(*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))
Results
AccuracySegmentsBranch
99.0%2(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
99.0%2(sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))
99.0%2(*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))
99.0%2(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
99.0%2(/.f64 1 (hypot.f64 1 x))
99.0%2(hypot.f64 1 x)
Compiler

Compiled 52 to 46 computations (11.5% saved)

regimes6.0ms (0%)

Counts
9 → 2
Calls
Call 1
Inputs
(-.f64 1 (sqrt.f64 1/2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) 1/8)
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2)
(/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(-.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

1 calls:

5.0ms
(hypot.f64 1 x)
Results
AccuracySegmentsBranch
99.0%2(hypot.f64 1 x)
Compiler

Compiled 4 to 3 computations (25% saved)

regimes6.0ms (0%)

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

1 calls:

5.0ms
(hypot.f64 1 x)
Results
AccuracySegmentsBranch
98.7%2(hypot.f64 1 x)
Compiler

Compiled 4 to 3 computations (25% saved)

regimes83.0ms (0.6%)

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

2 calls:

69.0ms
(hypot.f64 1 x)
14.0ms
x
Results
AccuracySegmentsBranch
98.3%3x
98.2%2(hypot.f64 1 x)
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes11.0ms (0.1%)

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

1 calls:

10.0ms
x
Results
AccuracySegmentsBranch
97.4%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
54.8%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0000004133164133
1.0155201268544989
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0000004133164133
1.0155201268544989
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0000004133164133
1.0155201268544989
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0000004133164133
1.0155201268544989
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0000004133164133
1.0155201268544989
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0000004133164133
1.0155201268544989
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0000004133164133
1.0155201268544989
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0
1.0000004133164133
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0214473456011168
11.525354314748249
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0214473456011168
11.525354314748249
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch103.0ms (0.7%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
82.0ms
0.0009091935974298251
11.481889743438842
21.0ms
-90455.10510943549
-0.2082178662736881
Results
97.0ms256×256valid
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 238 to 219 computations (8% saved)

simplify174.0ms (1.2%)

Algorithm
egg-herbie
Rules
56×+-commutative
36×sub-neg
28×*-commutative
20×neg-mul-1
20×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0851224
11251224
21551224
31751224
41871224
51891224
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 (hypot.f64 1 x) 4548635623644201/4503599627370496) (+.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 (-.f64 1/16 (pow.f64 (/.f64 1/4 (fma.f64 x x 1)) 2)) (+.f64 1/4 (/.f64 1/4 (fma.f64 x x 1)))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(if (<=.f64 (hypot.f64 1 x) 4548635623644201/4503599627370496) (+.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 1/4 (fma.f64 x x 1))) (/.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(if (<=.f64 (hypot.f64 1 x) 4548635623644201/4503599627370496) (+.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 (sqrt.f64 (/.f64 1/4 (fma.f64 x x 1)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(if (<=.f64 (hypot.f64 1 x) 4548635623644201/4503599627370496) (+.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) 4548635623644201/4503599627370496) (+.f64 (*.f64 -11/128 (pow.f64 x 4)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 1/8 (pow.f64 x 2)))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (sqrt.f64 (/.f64 1/4 (fma.f64 x x 1)))))))
(if (<=.f64 (hypot.f64 1 x) 4548635623644201/4503599627370496) (+.f64 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 1/8 (pow.f64 x 2))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (sqrt.f64 (/.f64 1/4 (fma.f64 x x 1)))))))
(if (<=.f64 (hypot.f64 1 x) 4548635623644201/4503599627370496) (+.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) 1) (*.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 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(if (<=.f64 (hypot.f64 1 x) 2) (*.f64 1/8 (pow.f64 x 2)) (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))))
(if (<=.f64 x -6980579422424269/4503599627370496) (-.f64 1 (sqrt.f64 1/2)) (if (<=.f64 x 6980579422424269/4503599627370496) (*.f64 1/8 (pow.f64 x 2)) (-.f64 1 (sqrt.f64 1/2))))
(-.f64 1 (sqrt.f64 1/2))
Outputs
(if (<=.f64 (hypot.f64 1 x) 4548635623644201/4503599627370496) (+.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 (-.f64 1/16 (pow.f64 (/.f64 1/4 (fma.f64 x x 1)) 2)) (+.f64 1/4 (/.f64 1/4 (fma.f64 x x 1)))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(if (<=.f64 (hypot.f64 1 x) 4548635623644201/4503599627370496) (+.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 1/4 (fma.f64 x x 1))) (/.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(if (<=.f64 (hypot.f64 1 x) 4548635623644201/4503599627370496) (+.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 (sqrt.f64 (/.f64 1/4 (fma.f64 x x 1)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(if (<=.f64 (hypot.f64 1 x) 4548635623644201/4503599627370496) (+.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) 4548635623644201/4503599627370496) (+.f64 (*.f64 -11/128 (pow.f64 x 4)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 1/8 (pow.f64 x 2)))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (sqrt.f64 (/.f64 1/4 (fma.f64 x x 1)))))))
(if (<=.f64 (hypot.f64 1 x) 4548635623644201/4503599627370496) (+.f64 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 1/8 (pow.f64 x 2))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (sqrt.f64 (/.f64 1/4 (fma.f64 x x 1)))))))
(if (<=.f64 (hypot.f64 1 x) 4548635623644201/4503599627370496) (+.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) 1) (*.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 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(if (<=.f64 (hypot.f64 1 x) 2) (*.f64 1/8 (pow.f64 x 2)) (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))))
(if (<=.f64 x -6980579422424269/4503599627370496) (-.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 (or (<=.f64 x -6980579422424269/4503599627370496) (not (<=.f64 x 6980579422424269/4503599627370496))) (-.f64 1 (sqrt.f64 1/2)) (*.f64 1/8 (pow.f64 x 2)))
(-.f64 1 (sqrt.f64 1/2))
Compiler

Compiled 385 to 327 computations (15.1% saved)

soundness1.3s (9%)

Rules
1594×fma-def
1380×fma-neg
1090×associate-*l*
767×log1p-expm1-u
767×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022164
150136
278136
3109136
4154136
5187136
6204136
7213136
8214136
01348
116448
2211348
01348
116448
2211348
02924336
16854144
219913948
373883948
028255
1493210
27430210
038429
1719425
082421408
1243320585
028255
1493210
27430210
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
saturated
Compiler

Compiled 1325 to 1144 computations (13.7% saved)

end1.0ms (0%)

preprocess252.0ms (1.8%)

Compiler

Compiled 774 to 656 computations (15.2% saved)

Profiling

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