Octave 3.8, jcobi/1

Time bar (total: 7.4s)

analyze0.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%56.2%43.8%0%0%0%0
100%56.2%0%43.8%0%0%0%1
Compiler

Compiled 22 to 16 computations (27.3% saved)

sample1.1s (14.8%)

Results
690.0ms6489×body256valid
244.0ms1038×body1024valid
111.0ms615×body512valid
38.0ms114×body2048valid
Bogosity

preprocess167.0ms (2.3%)

Algorithm
egg-herbie
Rules
1434×sub-neg
1296×div-sub
860×distribute-lft-neg-in
732×fma-def
594×neg-mul-1
Problems
180×No Errors
76×(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
038367
189359
2199351
3536343
41567343
54659343
67229343
Stop Event
node limit
Calls
Call 1
Inputs
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta (neg.f64 alpha)) (+.f64 (+.f64 (neg.f64 alpha) beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 (neg.f64 beta) alpha) (+.f64 (+.f64 alpha (neg.f64 beta)) 2)) 1) 2)
(neg.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta (neg.f64 alpha)) (+.f64 (+.f64 (neg.f64 alpha) beta) 2)) 1) 2))
(neg.f64 (/.f64 (+.f64 (/.f64 (-.f64 (neg.f64 beta) alpha) (+.f64 (+.f64 alpha (neg.f64 beta)) 2)) 1) 2))
(/.f64 (+.f64 (/.f64 (-.f64 alpha beta) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
Outputs
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
(-.f64 1/2 (/.f64 (/.f64 (-.f64 alpha beta) (+.f64 beta (+.f64 alpha 2))) 2))
(+.f64 1/2 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
(-.f64 1/2 (/.f64 (/.f64 (-.f64 alpha beta) (+.f64 beta (+.f64 alpha 2))) 2))
(+.f64 1/2 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))
(/.f64 (+.f64 (/.f64 (-.f64 beta (neg.f64 alpha)) (+.f64 (+.f64 (neg.f64 alpha) beta) 2)) 1) 2)
(/.f64 (+.f64 1 (/.f64 (-.f64 beta (neg.f64 alpha)) (+.f64 2 (-.f64 beta alpha)))) 2)
(/.f64 (+.f64 1 (/.f64 (+.f64 beta alpha) (+.f64 2 (-.f64 beta alpha)))) 2)
(/.f64 (+.f64 1 (/.f64 (+.f64 beta alpha) (-.f64 beta (+.f64 alpha -2)))) 2)
(/.f64 (+.f64 1 (/.f64 (+.f64 beta alpha) (+.f64 beta (-.f64 2 alpha)))) 2)
(+.f64 (/.f64 (+.f64 beta alpha) (*.f64 -2 (+.f64 (-.f64 alpha beta) -2))) 1/2)
(+.f64 1/2 (/.f64 (+.f64 beta alpha) (-.f64 4 (*.f64 2 (-.f64 alpha beta)))))
(/.f64 (+.f64 (/.f64 (-.f64 (neg.f64 beta) alpha) (+.f64 (+.f64 alpha (neg.f64 beta)) 2)) 1) 2)
(/.f64 (+.f64 1 (/.f64 (-.f64 (neg.f64 beta) alpha) (+.f64 2 (-.f64 alpha beta)))) 2)
(/.f64 (+.f64 1 (/.f64 (-.f64 (neg.f64 beta) alpha) (+.f64 alpha (-.f64 2 beta)))) 2)
(/.f64 (-.f64 1 (/.f64 (+.f64 beta alpha) (+.f64 2 (-.f64 alpha beta)))) 2)
(-.f64 1/2 (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 2 (-.f64 alpha beta))) 2))
(-.f64 1/2 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 2 (-.f64 alpha beta))) 1/2))
(+.f64 (/.f64 (+.f64 beta alpha) (*.f64 (+.f64 2 (-.f64 alpha beta)) -2)) 1/2)
(neg.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta (neg.f64 alpha)) (+.f64 (+.f64 (neg.f64 alpha) beta) 2)) 1) 2))
(neg.f64 (/.f64 (+.f64 1 (/.f64 (-.f64 beta (neg.f64 alpha)) (+.f64 2 (-.f64 beta alpha)))) 2))
(neg.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 beta alpha) (+.f64 2 (-.f64 beta alpha)))) 2))
(/.f64 (-.f64 -1 (/.f64 (+.f64 beta alpha) (-.f64 beta (+.f64 alpha -2)))) 2)
(-.f64 -1/2 (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (-.f64 2 alpha))) 2))
(-.f64 -1/2 (/.f64 (+.f64 beta alpha) (*.f64 -2 (+.f64 (-.f64 alpha beta) -2))))
(+.f64 -1/2 (/.f64 (+.f64 beta alpha) (+.f64 (*.f64 2 (-.f64 alpha beta)) -4)))
(neg.f64 (/.f64 (+.f64 (/.f64 (-.f64 (neg.f64 beta) alpha) (+.f64 (+.f64 alpha (neg.f64 beta)) 2)) 1) 2))
(/.f64 (neg.f64 (+.f64 1 (/.f64 (-.f64 (neg.f64 beta) alpha) (+.f64 2 (-.f64 alpha beta))))) 2)
(/.f64 (+.f64 -1 (neg.f64 (/.f64 (-.f64 (neg.f64 beta) alpha) (+.f64 2 (-.f64 alpha beta))))) 2)
(/.f64 (-.f64 -1 (/.f64 (-.f64 (neg.f64 beta) alpha) (+.f64 alpha (-.f64 2 beta)))) 2)
(-.f64 (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 2 (-.f64 alpha beta))) 2) 1/2)
(+.f64 -1/2 (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 2 (-.f64 alpha beta))) 2))
(+.f64 -1/2 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 2 (-.f64 alpha beta))) 1/2))
(-.f64 -1/2 (/.f64 (+.f64 beta alpha) (*.f64 (+.f64 2 (-.f64 alpha beta)) -2)))
(/.f64 (+.f64 (/.f64 (-.f64 alpha beta) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
(/.f64 (+.f64 1 (/.f64 (-.f64 alpha beta) (+.f64 beta (+.f64 alpha 2)))) 2)
(/.f64 (+.f64 1 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2)))) 2)
(/.f64 (+.f64 1 (/.f64 (-.f64 alpha beta) (+.f64 (+.f64 beta alpha) 2))) 2)
(-.f64 (/.f64 (/.f64 (-.f64 alpha beta) (+.f64 beta (+.f64 alpha 2))) 2) -1/2)
Compiler

Compiled 66 to 35 computations (47% saved)

eval1.0ms (0%)

Compiler

Compiled 67 to 44 computations (34.3% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
72.1%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
72.1%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
Compiler

Compiled 30 to 22 computations (26.7% saved)

localize51.0ms (0.7%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
100.0%
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))
72.1%
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)
Compiler

Compiled 51 to 24 computations (52.9% saved)

series9.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
beta
@inf
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))
1.0ms
alpha
@0
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)
1.0ms
alpha
@inf
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)
1.0ms
beta
@0
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)
1.0ms
alpha
@-inf
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)

rewrite130.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
1241×log1p-expm1-u
1122×expm1-log1p-u
354×log1p-udef
352×expm1-udef
96×add-cube-cbrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01480
119980
2314980
Stop Event
node limit
Counts
2 → 74
Calls
Call 1
Inputs
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))
Outputs
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 1)
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))
(-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))
(*.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))
(*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1)
(*.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(*.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))))
(/.f64 1 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)) (neg.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1)
(fma.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)
(fma.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)
(+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(-.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1)
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))
(*.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (-.f64 beta alpha) (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1))
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)
(*.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (*.f64 (cbrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2) (*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1))
(*.f64 (sqrt.f64 (-.f64 beta alpha)) (*.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1))
(*.f64 (neg.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 -2 (neg.f64 (+.f64 beta alpha)))))
(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) 1) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) 1) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))))
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2)))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)
(pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -1)
(neg.f64 (/.f64 (-.f64 beta alpha) (+.f64 -2 (neg.f64 (+.f64 beta alpha)))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))

simplify119.0ms (1.6%)

Algorithm
egg-herbie
Rules
1312×cancel-sign-sub-inv
1002×fma-neg
806×unswap-sqr
600×sub-neg
512×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03869396
111409042
242968889
Stop Event
node limit
Counts
122 → 234
Calls
Call 1
Inputs
(-.f64 1 (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 1 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 1 (+.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 1 (+.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))))))) (/.f64 alpha (+.f64 2 alpha)))
2
(+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)))
(-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (*.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))))
2
(-.f64 (+.f64 2 (*.f64 -1 (/.f64 alpha beta))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(+.f64 1 (/.f64 beta (+.f64 2 beta)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (+.f64 (*.f64 (pow.f64 alpha 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 3))))) (/.f64 beta (+.f64 2 beta)))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))) (+.f64 (*.f64 (pow.f64 alpha 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 3))))) (/.f64 beta (+.f64 2 beta))))))
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))) (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 2 (/.f64 1 alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3))) (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 2 (/.f64 1 alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3))) (+.f64 (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2)) (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 3)) (pow.f64 alpha 4)))))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 3)) (pow.f64 (+.f64 2 beta) 4)) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3))))))
(*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))
(+.f64 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))))
(+.f64 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (+.f64 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))))
(+.f64 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (+.f64 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 3) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))))))))
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha beta))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha beta))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(/.f64 beta (+.f64 2 beta))
(+.f64 (*.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta)))
(+.f64 (*.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (+.f64 (/.f64 beta (+.f64 2 beta)) (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (+.f64 2 beta))))
(+.f64 (*.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))) (+.f64 (/.f64 beta (+.f64 2 beta)) (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (+.f64 2 beta)))))
-1
(-.f64 (/.f64 beta alpha) (+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 beta) alpha))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 beta) (-.f64 beta (*.f64 -1 (+.f64 2 beta)))) (pow.f64 alpha 2))) (/.f64 beta alpha)) (+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 beta) alpha))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 beta) (-.f64 beta (*.f64 -1 (+.f64 2 beta)))) (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 (pow.f64 (+.f64 2 beta) 2) (-.f64 beta (*.f64 -1 (+.f64 2 beta)))) (pow.f64 alpha 3)))) (+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 beta) alpha))))
-1
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha)) (/.f64 (*.f64 (+.f64 2 beta) (-.f64 (*.f64 -1 beta) (+.f64 2 beta))) (pow.f64 alpha 2))) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 beta) 2) (-.f64 (*.f64 -1 beta) (+.f64 2 beta))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha)) (/.f64 (*.f64 (+.f64 2 beta) (-.f64 (*.f64 -1 beta) (+.f64 2 beta))) (pow.f64 alpha 2)))) 1)
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 1)
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))
(-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))
(*.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))
(*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1)
(*.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(*.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))))
(/.f64 1 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)) (neg.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1)
(fma.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)
(fma.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)
(+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(-.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1)
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))
(*.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (-.f64 beta alpha) (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1))
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)
(*.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (*.f64 (cbrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2) (*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1))
(*.f64 (sqrt.f64 (-.f64 beta alpha)) (*.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1))
(*.f64 (neg.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 -2 (neg.f64 (+.f64 beta alpha)))))
(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) 1) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) 1) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))))
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2)))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)
(pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -1)
(neg.f64 (/.f64 (-.f64 beta alpha) (+.f64 -2 (neg.f64 (+.f64 beta alpha)))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
Outputs
(-.f64 1 (/.f64 alpha (+.f64 2 alpha)))
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(-.f64 (+.f64 1 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 alpha (+.f64 2 alpha)))
(+.f64 1 (-.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)))) (/.f64 alpha (+.f64 alpha 2))))
(-.f64 (fma.f64 beta (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) 1) (/.f64 alpha (+.f64 alpha 2)))
(-.f64 (+.f64 1 (+.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha)))
(+.f64 1 (-.f64 (fma.f64 beta (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (pow.f64 beta 2) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))))) (/.f64 alpha (+.f64 alpha 2))))
(+.f64 1 (-.f64 (fma.f64 beta (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (pow.f64 beta 2) (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))))) (/.f64 alpha (+.f64 alpha 2))))
(+.f64 (fma.f64 beta (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) 1) (fma.f64 (pow.f64 beta 2) (-.f64 (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3))) (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))
(-.f64 (+.f64 1 (+.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))))))) (/.f64 alpha (+.f64 2 alpha)))
(+.f64 1 (-.f64 (fma.f64 beta (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 (pow.f64 beta 2) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)))))) (/.f64 alpha (+.f64 alpha 2))))
(+.f64 1 (-.f64 (fma.f64 beta (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 (pow.f64 beta 2) (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)))))) (/.f64 alpha (+.f64 alpha 2))))
(+.f64 1 (-.f64 (fma.f64 beta (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 (pow.f64 beta 2) (-.f64 (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)))))) (/.f64 alpha (+.f64 alpha 2))))
2
(+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)))
(+.f64 2 (neg.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta)))
(-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))
(-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(+.f64 2 (-.f64 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) (/.f64 alpha (/.f64 (pow.f64 beta 2) (+.f64 alpha 2)))) (neg.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2)))))
(+.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) (+.f64 (/.f64 (+.f64 alpha 2) (/.f64 (pow.f64 beta 2) alpha)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2))))
(+.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) (fma.f64 (/.f64 alpha (pow.f64 beta 2)) (+.f64 alpha 2) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2))))
(-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (*.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))))
(+.f64 2 (-.f64 (fma.f64 -1 (/.f64 alpha (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) (/.f64 alpha (/.f64 (pow.f64 beta 2) (+.f64 alpha 2))))) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)))))
(-.f64 (+.f64 (-.f64 2 (*.f64 (/.f64 alpha (pow.f64 beta 3)) (pow.f64 (+.f64 alpha 2) 2))) (+.f64 (-.f64 (/.f64 (+.f64 alpha 2) (/.f64 (pow.f64 beta 2) alpha)) (/.f64 (fma.f64 alpha 2 2) beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2)))) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)))
(-.f64 (+.f64 (-.f64 (-.f64 (*.f64 (/.f64 alpha (pow.f64 beta 2)) (+.f64 alpha 2)) (/.f64 (fma.f64 alpha 2 2) beta)) (*.f64 (/.f64 alpha (pow.f64 beta 3)) (pow.f64 (+.f64 alpha 2) 2))) (+.f64 2 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2)))) (pow.f64 (/.f64 (+.f64 alpha 2) beta) 3))
2
(-.f64 (+.f64 2 (*.f64 -1 (/.f64 alpha beta))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(+.f64 2 (-.f64 (/.f64 (neg.f64 alpha) beta) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))))
(-.f64 (-.f64 2 (/.f64 alpha beta)) (+.f64 (/.f64 alpha beta) (/.f64 2 beta)))
(-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(+.f64 2 (-.f64 (*.f64 -1 (+.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) (/.f64 (pow.f64 beta 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2)))))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))))
(-.f64 (-.f64 (-.f64 2 (/.f64 alpha beta)) (*.f64 (/.f64 (+.f64 alpha 2) (pow.f64 beta 2)) (-.f64 (fma.f64 alpha -1 -2) alpha))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta)))
(+.f64 (-.f64 2 (/.f64 alpha beta)) (-.f64 (/.f64 (-.f64 -2 alpha) (/.f64 (pow.f64 beta 2) (-.f64 (-.f64 -2 alpha) alpha))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))))
(-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(+.f64 2 (-.f64 (fma.f64 -1 (/.f64 alpha beta) (fma.f64 -1 (/.f64 (+.f64 alpha 2) (/.f64 (pow.f64 beta 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) (-.f64 (neg.f64 alpha) (+.f64 alpha 2)))))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))))
(+.f64 (-.f64 2 (/.f64 alpha beta)) (-.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3)) (-.f64 (fma.f64 alpha -1 -2) alpha)) (*.f64 (/.f64 (+.f64 alpha 2) (pow.f64 beta 2)) (-.f64 (fma.f64 alpha -1 -2) alpha))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))))
(+.f64 (-.f64 2 (/.f64 alpha beta)) (-.f64 (fma.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3)) (-.f64 (-.f64 -2 alpha) alpha) (/.f64 (-.f64 -2 alpha) (/.f64 (pow.f64 beta 2) (-.f64 (-.f64 -2 alpha) alpha)))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))))
(+.f64 1 (/.f64 beta (+.f64 2 beta)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta))))
(+.f64 1 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (/.f64 beta (+.f64 2 beta))))
(+.f64 1 (-.f64 (/.f64 beta (+.f64 2 beta)) (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (+.f64 (*.f64 (pow.f64 alpha 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 3))))) (/.f64 beta (+.f64 2 beta)))))
(+.f64 1 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 (pow.f64 alpha 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3))) (/.f64 beta (+.f64 2 beta)))))
(+.f64 1 (fma.f64 (neg.f64 alpha) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (fma.f64 (pow.f64 alpha 2) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 beta (pow.f64 (+.f64 2 beta) 3))) (/.f64 beta (+.f64 2 beta)))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))) (+.f64 (*.f64 (pow.f64 alpha 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 3))))) (/.f64 beta (+.f64 2 beta))))))
(+.f64 1 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4)))) (fma.f64 (pow.f64 alpha 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3))) (/.f64 beta (+.f64 2 beta))))))
(+.f64 1 (-.f64 (-.f64 (fma.f64 (pow.f64 alpha 2) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 beta (pow.f64 (+.f64 2 beta) 3))) (/.f64 beta (+.f64 2 beta))) (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))) (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))))
(+.f64 (-.f64 (fma.f64 (pow.f64 alpha 2) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 beta (pow.f64 (+.f64 2 beta) 3))) (/.f64 beta (+.f64 2 beta))) (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))) (-.f64 1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))))
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (fma.f64 2 beta 2) alpha)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))) (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2)))
(-.f64 (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2)))
(-.f64 (-.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2)))
(-.f64 (-.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (*.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 2 beta)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 2 (/.f64 1 alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3))) (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))))
(-.f64 (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)) (+.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)))) (fma.f64 -1 (/.f64 beta (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2))) (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))))
(-.f64 (+.f64 (-.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3))) (-.f64 (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2)) (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2))))
(-.f64 (+.f64 (-.f64 (+.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3)) (*.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 2 beta))) (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2))) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 2 (/.f64 1 alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3))) (+.f64 (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2)) (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 3)) (pow.f64 alpha 4)))))
(-.f64 (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4)) (+.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3))))) (+.f64 (fma.f64 -1 (/.f64 beta (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2))) (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))) (/.f64 beta (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 2 beta) 3)))))
(-.f64 (-.f64 (-.f64 (+.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3))) (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4))) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (+.f64 (-.f64 (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2)) (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2))) (*.f64 (/.f64 beta (pow.f64 alpha 4)) (pow.f64 (+.f64 2 beta) 3))))
(+.f64 (-.f64 (-.f64 (+.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3)) (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4)))) (+.f64 (*.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 2 beta)) (*.f64 (/.f64 beta (pow.f64 alpha 4)) (pow.f64 (+.f64 2 beta) 3)))) (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha))
(neg.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha))
(neg.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha))
(/.f64 (+.f64 beta (+.f64 2 beta)) alpha)
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha)))
(*.f64 -1 (+.f64 (/.f64 (fma.f64 beta (+.f64 2 beta) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2)) (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha)))
(-.f64 (*.f64 (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)) (-.f64 (-.f64 -2 beta) beta)) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha))
(fma.f64 (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)) (-.f64 (-.f64 -2 beta) beta) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)))))
(fma.f64 -1 (/.f64 (fma.f64 beta (+.f64 2 beta) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2)) (fma.f64 -1 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (/.f64 beta (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2))))))
(+.f64 (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2))) (-.f64 (*.f64 (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)) (-.f64 (-.f64 -2 beta) beta)) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)))
(+.f64 (+.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3) (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2))) (fma.f64 (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)) (-.f64 (-.f64 -2 beta) beta) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)))
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(fma.f64 -1 (/.f64 (fma.f64 beta (+.f64 2 beta) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2)) (fma.f64 -1 (/.f64 (fma.f64 beta (pow.f64 (+.f64 2 beta) 3) (pow.f64 (+.f64 2 beta) 4)) (pow.f64 alpha 4)) (fma.f64 -1 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (/.f64 beta (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2)))))))
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(*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (+.f64 alpha 2) beta))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 (+.f64 alpha 2) beta))))
(/.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (sqrt.f64 (+.f64 alpha (+.f64 2 beta))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) 1) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha 2) beta)) 2)) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 (+.f64 alpha 2) beta))))
(/.f64 (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2))
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))))
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 alpha beta) 3) 8)) (-.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) 4) (*.f64 2 (+.f64 alpha beta))))
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 alpha beta) 3) 8)) (+.f64 4 (+.f64 (*.f64 -2 (+.f64 alpha beta)) (pow.f64 (+.f64 alpha beta) 2))))
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2)))
(/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha -2))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4))
(/.f64 (*.f64 (-.f64 beta alpha) (+.f64 alpha (-.f64 beta 2))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4))
(/.f64 (*.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta -2))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3)
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 1/3)
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -1)
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(neg.f64 (/.f64 (-.f64 beta alpha) (+.f64 -2 (neg.f64 (+.f64 beta alpha)))))
(/.f64 (*.f64 (neg.f64 (-.f64 beta alpha)) 1) (-.f64 -2 (+.f64 alpha beta)))
(/.f64 (+.f64 (neg.f64 beta) alpha) (-.f64 (-.f64 -2 beta) alpha))
(/.f64 (fma.f64 beta -1 alpha) (-.f64 (-.f64 -2 beta) alpha))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(log.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(exp.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))

eval179.0ms (2.4%)

Compiler

Compiled 7369 to 5271 computations (28.5% saved)

prune65.0ms (0.9%)

Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New22311234
Fresh000
Picked011
Done000
Total22312235
Accuracy
100.0%
Counts
235 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
71.8%
(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) 2)
31.8%
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
73.2%
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
27.8%
(/.f64 (-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))) (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))) 2)
72.1%
(/.f64 (-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 2)
30.3%
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)) (-.f64 (-.f64 -2 beta) beta)) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 2)
50.7%
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
72.1%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
71.2%
(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
26.0%
(/.f64 (+.f64 2 (neg.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta))) 2)
3.8%
(/.f64 (+.f64 -1 1) 2)
33.5%
(/.f64 2 2)
71.8%
(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) 2)
31.8%
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
73.2%
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
27.8%
(/.f64 (-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))) (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))) 2)
72.1%
(/.f64 (-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 2)
30.3%
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)) (-.f64 (-.f64 -2 beta) beta)) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 2)
50.7%
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
72.1%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
71.2%
(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
26.0%
(/.f64 (+.f64 2 (neg.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta))) 2)
3.8%
(/.f64 (+.f64 -1 1) 2)
33.5%
(/.f64 2 2)
Compiler

Compiled 746 to 582 computations (22% saved)

localize296.0ms (4%)

Localize:

Found 12 expressions with local error:

NewAccuracyProgram
100.0%
(/.f64 beta (+.f64 beta (+.f64 alpha 2)))
100.0%
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
100.0%
(+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))
72.1%
(-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))
100.0%
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
99.7%
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
100.0%
(/.f64 beta (+.f64 2 beta))
100.0%
(+.f64 (/.f64 beta (+.f64 2 beta)) 1)
100.0%
(/.f64 beta (+.f64 beta (+.f64 alpha 2)))
100.0%
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
100.0%
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))
72.1%
(-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)
Compiler

Compiled 203 to 135 computations (33.5% saved)

series20.0ms (0.3%)

Counts
12 → 252
Calls

66 calls:

TimeVariablePointExpression
2.0ms
beta
@-inf
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
1.0ms
alpha
@0
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
1.0ms
beta
@-inf
(+.f64 (/.f64 beta (+.f64 2 beta)) 1)
1.0ms
alpha
@inf
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
1.0ms
beta
@-inf
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))

rewrite161.0ms (2.2%)

Algorithm
batch-egg-rewrite
Rules
264×associate-*r*
235×log1p-expm1-u
235×expm1-log1p-u
232×add-cube-cbrt
228×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
024414
1474358
Stop Event
node limit
Counts
12 → 503
Calls
Call 1
Inputs
(-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(/.f64 beta (+.f64 beta (+.f64 alpha 2)))
(+.f64 (/.f64 beta (+.f64 2 beta)) 1)
(/.f64 beta (+.f64 2 beta))
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))
(+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(/.f64 beta (+.f64 beta (+.f64 alpha 2)))
Outputs
(+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)
(+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))
(*.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1))
(*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 1)
(*.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)) 2) (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)) (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)))
(*.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1))))
(*.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1) (/.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1)))
(*.f64 (+.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1) (-.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)))
(/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) -1) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1)))
(/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) -1) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (-.f64 1 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1))))
(/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1))
(/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1) (-.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)) (neg.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1)))
(pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)) 2)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 3))
(expm1.f64 (log.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(exp.f64 (log.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)))
(fma.f64 alpha (/.f64 1 (+.f64 alpha (+.f64 beta 2))) -1)
(fma.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 2) (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) -1)
(fma.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) -1)
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))
(+.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))
(+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (+.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha (+.f64 beta 2))) 1))
(+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha (+.f64 beta 2))) 1) 1))
(+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha (+.f64 beta 2)))))
(+.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) (fma.f64 (+.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha (+.f64 beta 2))) 1) 1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)))
(+.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)) 2) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)))
(+.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1))) (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)))
(+.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) (fma.f64 (neg.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2)))) alpha (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(+.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) (fma.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha (+.f64 beta 2))) 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(+.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 2) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(+.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(+.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (/.f64 (neg.f64 alpha) (+.f64 alpha (+.f64 beta 2))))
(+.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (*.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha (+.f64 beta 2))) 1))
(+.f64 (+.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha (+.f64 beta 2))) 1) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))
(+.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)
(+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 1)
(*.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1)
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 2) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
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(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 3)) (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (-.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2)) (-.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2))) (neg.f64 (-.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))))
(/.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) 1) (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 1))
(pow.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) 3)
(pow.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 3) 1/3)
(pow.f64 (hypot.f64 1 (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 2))
(log.f64 (exp.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))))
(exp.f64 (log1p.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))))
(fma.f64 beta (/.f64 1 (+.f64 alpha (+.f64 beta 2))) 1)
(fma.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 2) (cbrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 1)
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 1)
(-.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1) 1)
(*.f64 alpha (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
(*.f64 alpha (*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) 1))
(*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1)
(*.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))
(*.f64 (pow.f64 (cbrt.f64 alpha) 2) (*.f64 (cbrt.f64 alpha) (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 2) (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 2) (*.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1))
(*.f64 (sqrt.f64 alpha) (*.f64 (sqrt.f64 alpha) (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (*.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1))
(*.f64 (neg.f64 alpha) (/.f64 1 (+.f64 (neg.f64 (+.f64 alpha beta)) -2)))
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) alpha)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (/.f64 alpha (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 alpha (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) 1) (/.f64 (cbrt.f64 alpha) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (cbrt.f64 alpha) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 (sqrt.f64 alpha) 1) (/.f64 (sqrt.f64 alpha) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (sqrt.f64 alpha) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (/.f64 (sqrt.f64 alpha) (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 alpha (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta))))
(*.f64 (/.f64 alpha (-.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)))
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1)
(pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 3)
(pow.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 2)
(pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) 1/3)
(pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -1)
(neg.f64 (/.f64 alpha (+.f64 (neg.f64 (+.f64 alpha beta)) -2)))
(sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2))
(log.f64 (exp.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))))
(cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))
(expm1.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(exp.f64 (log.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(exp.f64 (*.f64 (log.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(-.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 1)
(*.f64 beta (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
(*.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 1)
(*.f64 (pow.f64 (cbrt.f64 beta) 2) (*.f64 (cbrt.f64 beta) (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (cbrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 2) (cbrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (sqrt.f64 beta) (*.f64 (sqrt.f64 beta) (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (neg.f64 beta) (/.f64 1 (+.f64 (neg.f64 (+.f64 alpha beta)) -2)))
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) beta)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (/.f64 beta (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 beta (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (cbrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta))))
(*.f64 (/.f64 beta (-.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)))
(pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 1)
(pow.f64 (cbrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 3)
(pow.f64 (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 2)
(pow.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 3) 1/3)
(pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta) -1)
(neg.f64 (/.f64 beta (+.f64 (neg.f64 (+.f64 alpha beta)) -2)))
(sqrt.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2))
(log.f64 (exp.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))))
(cbrt.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 3))
(expm1.f64 (log1p.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))
(exp.f64 (log.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))
(exp.f64 (*.f64 (log.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))

simplify381.0ms (5.2%)

Algorithm
egg-herbie
Rules
1650×fma-def
734×distribute-rgt-in
706×distribute-lft-in
578×times-frac
402×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0107250410
1307647706
Stop Event
node limit
Counts
755 → 781
Calls
Call 1
Inputs
-1
(-.f64 (/.f64 alpha (+.f64 2 beta)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 beta) 2))) (/.f64 alpha (+.f64 2 beta))) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 beta) 2))) (+.f64 (/.f64 alpha (+.f64 2 beta)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3)))) 1)
(*.f64 -1 (/.f64 (+.f64 2 beta) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 beta) alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 beta) alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3))) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 beta) alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3))) (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4)))))
(*.f64 -1 (/.f64 (+.f64 2 beta) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 beta) alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 beta) alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3))) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 beta) alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3))) (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4)))))
(-.f64 (/.f64 alpha (+.f64 2 alpha)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 alpha (+.f64 2 alpha))) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (/.f64 alpha (+.f64 2 alpha)) (/.f64 (*.f64 alpha (pow.f64 beta 2)) (pow.f64 (+.f64 2 alpha) 3)))) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 alpha (pow.f64 beta 3)) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 (/.f64 alpha (+.f64 2 alpha)) (/.f64 (*.f64 alpha (pow.f64 beta 2)) (pow.f64 (+.f64 2 alpha) 3))))) 1)
-1
(-.f64 (/.f64 alpha beta) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2))) (/.f64 alpha beta)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (/.f64 alpha beta) (/.f64 (*.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3)))) 1)
-1
(-.f64 (/.f64 alpha beta) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2))) (/.f64 alpha beta)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (/.f64 alpha beta) (/.f64 (*.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3)))) 1)
(-.f64 1 (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 1 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 1 (+.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 1 (+.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))))))) (/.f64 alpha (+.f64 2 alpha)))
2
(+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)))
(-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (*.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))))
2
(+.f64 2 (*.f64 -1 (/.f64 (-.f64 (+.f64 2 alpha) (*.f64 -1 alpha)) beta)))
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 2 alpha) (*.f64 -1 alpha)) beta)) (+.f64 (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 2 alpha) (*.f64 -1 alpha)) beta)) (+.f64 (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))))
(+.f64 1 (/.f64 beta (+.f64 2 beta)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (+.f64 (*.f64 (pow.f64 alpha 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 3))))) (/.f64 beta (+.f64 2 beta)))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))) (+.f64 (*.f64 (pow.f64 alpha 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 3))))) (/.f64 beta (+.f64 2 beta))))))
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))) (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 2 (/.f64 1 alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3))) (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 2 (/.f64 1 alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3))) (+.f64 (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2)) (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 3)) (pow.f64 alpha 4)))))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 3)) (pow.f64 (+.f64 2 beta) 4)) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3))))))
(/.f64 alpha (+.f64 2 beta))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 beta) 2))) (/.f64 alpha (+.f64 2 beta)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 beta) 2))) (+.f64 (/.f64 alpha (+.f64 2 beta)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 beta) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 2 beta) 4))) (+.f64 (/.f64 alpha (+.f64 2 beta)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 beta) alpha)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 beta) alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 beta) alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3))) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 beta) alpha)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 beta) alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 beta) alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3))) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)))))
(/.f64 alpha (+.f64 2 alpha))
(+.f64 (*.f64 -1 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 alpha (+.f64 2 alpha)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (/.f64 alpha (+.f64 2 alpha)) (/.f64 (*.f64 alpha (pow.f64 beta 2)) (pow.f64 (+.f64 2 alpha) 3))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 alpha (pow.f64 beta 3)) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 (/.f64 alpha (+.f64 2 alpha)) (/.f64 (*.f64 alpha (pow.f64 beta 2)) (pow.f64 (+.f64 2 alpha) 3)))))
(/.f64 alpha beta)
(+.f64 (*.f64 -1 (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2))) (/.f64 alpha beta))
(+.f64 (*.f64 -1 (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (/.f64 alpha beta) (/.f64 (*.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 beta 4))) (+.f64 (/.f64 alpha beta) (/.f64 (*.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3)))))
(/.f64 alpha beta)
(+.f64 (*.f64 -1 (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2))) (/.f64 alpha beta))
(+.f64 (*.f64 -1 (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (/.f64 alpha beta) (/.f64 (*.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 beta 4))) (+.f64 (/.f64 alpha beta) (/.f64 (*.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3)))))
(/.f64 beta (+.f64 2 alpha))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 beta (+.f64 2 alpha)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (/.f64 beta (+.f64 2 alpha)) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 4) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 (/.f64 beta (+.f64 2 alpha)) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))
(/.f64 beta (+.f64 2 beta))
(+.f64 (*.f64 -1 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 2 beta) 2))) (/.f64 beta (+.f64 2 beta)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 2 beta) 2))) (+.f64 (/.f64 beta (+.f64 2 beta)) (/.f64 (*.f64 (pow.f64 alpha 2) beta) (pow.f64 (+.f64 2 beta) 3))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 2 beta) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 alpha 3) beta) (pow.f64 (+.f64 2 beta) 4))) (+.f64 (/.f64 beta (+.f64 2 beta)) (/.f64 (*.f64 (pow.f64 alpha 2) beta) (pow.f64 (+.f64 2 beta) 3)))))
(/.f64 beta alpha)
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))) (/.f64 beta alpha))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 3)) (pow.f64 alpha 4))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3)))))
(/.f64 beta alpha)
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))) (/.f64 beta alpha))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 3)) (pow.f64 alpha 4))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3)))))
1
(+.f64 1 (*.f64 1/2 beta))
(+.f64 1 (+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/2 beta)))
(+.f64 1 (+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (+.f64 (*.f64 1/8 (pow.f64 beta 3)) (*.f64 1/2 beta))))
2
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 8 (/.f64 1 (pow.f64 beta 3)))))
2
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 8 (/.f64 1 (pow.f64 beta 3)))))
(*.f64 1/2 beta)
(+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/2 beta))
(+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (+.f64 (*.f64 1/8 (pow.f64 beta 3)) (*.f64 1/2 beta)))
(+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (+.f64 (*.f64 -1/16 (pow.f64 beta 4)) (+.f64 (*.f64 1/8 (pow.f64 beta 3)) (*.f64 1/2 beta))))
1
(-.f64 1 (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 8 (/.f64 1 (pow.f64 beta 3)))))
1
(-.f64 1 (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 8 (/.f64 1 (pow.f64 beta 3)))))
(/.f64 1 alpha)
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 beta alpha)
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 beta alpha)
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(/.f64 2 alpha)
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 beta alpha))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 beta alpha))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(-.f64 1 (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 1 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 1 (+.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 1 (+.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))))))) (/.f64 alpha (+.f64 2 alpha)))
2
(+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)))
(-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (*.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))))
2
(+.f64 2 (*.f64 -1 (/.f64 (-.f64 (+.f64 2 alpha) (*.f64 -1 alpha)) beta)))
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 2 alpha) (*.f64 -1 alpha)) beta)) (+.f64 (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 2 alpha) (*.f64 -1 alpha)) beta)) (+.f64 (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))))
(+.f64 1 (/.f64 beta (+.f64 2 beta)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (+.f64 (*.f64 (pow.f64 alpha 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 3))))) (/.f64 beta (+.f64 2 beta)))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))) (+.f64 (*.f64 (pow.f64 alpha 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 3))))) (/.f64 beta (+.f64 2 beta))))))
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))) (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 2 (/.f64 1 alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3))) (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 2 (/.f64 1 alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3))) (+.f64 (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2)) (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 3)) (pow.f64 alpha 4)))))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 3)) (pow.f64 (+.f64 2 beta) 4)) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3))))))
1
(+.f64 1 (/.f64 beta (+.f64 2 alpha)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 beta (+.f64 2 alpha))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (/.f64 beta (+.f64 2 alpha)) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3)))))
2
(+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)))
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))
2
(+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)))
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))
(+.f64 1 (/.f64 beta (+.f64 2 beta)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 2 beta) 2))) (/.f64 beta (+.f64 2 beta))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 2 beta) 2))) (+.f64 (/.f64 beta (+.f64 2 beta)) (/.f64 (*.f64 (pow.f64 alpha 2) beta) (pow.f64 (+.f64 2 beta) 3)))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 2 beta) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 alpha 3) beta) (pow.f64 (+.f64 2 beta) 4))) (+.f64 (/.f64 beta (+.f64 2 beta)) (/.f64 (*.f64 (pow.f64 alpha 2) beta) (pow.f64 (+.f64 2 beta) 3))))))
1
(+.f64 1 (/.f64 beta alpha))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))) (/.f64 beta alpha)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3)))))
1
(+.f64 1 (/.f64 beta alpha))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))) (/.f64 beta alpha)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3)))))
(/.f64 alpha (+.f64 2 beta))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 beta) 2))) (/.f64 alpha (+.f64 2 beta)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 beta) 2))) (+.f64 (/.f64 alpha (+.f64 2 beta)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 beta) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 2 beta) 4))) (+.f64 (/.f64 alpha (+.f64 2 beta)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 beta) alpha)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 beta) alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 beta) alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3))) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 beta) alpha)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 beta) alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))))
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1
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1
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(/.f64 beta alpha)
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(*.f64 (/.f64 alpha (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta))))
(*.f64 (/.f64 alpha (-.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)))
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1)
(pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 3)
(pow.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 2)
(pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) 1/3)
(pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -1)
(neg.f64 (/.f64 alpha (+.f64 (neg.f64 (+.f64 alpha beta)) -2)))
(sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2))
(log.f64 (exp.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))))
(cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))
(expm1.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(exp.f64 (log.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(exp.f64 (*.f64 (log.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(-.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 1)
(*.f64 beta (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
(*.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 1)
(*.f64 (pow.f64 (cbrt.f64 beta) 2) (*.f64 (cbrt.f64 beta) (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (cbrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 2) (cbrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (sqrt.f64 beta) (*.f64 (sqrt.f64 beta) (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (neg.f64 beta) (/.f64 1 (+.f64 (neg.f64 (+.f64 alpha beta)) -2)))
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) beta)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (/.f64 beta (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 beta (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (cbrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta))))
(*.f64 (/.f64 beta (-.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)))
(pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 1)
(pow.f64 (cbrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 3)
(pow.f64 (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 2)
(pow.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 3) 1/3)
(pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta) -1)
(neg.f64 (/.f64 beta (+.f64 (neg.f64 (+.f64 alpha beta)) -2)))
(sqrt.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2))
(log.f64 (exp.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))))
(cbrt.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 3))
(expm1.f64 (log1p.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))
(exp.f64 (log.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))
(exp.f64 (*.f64 (log.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))
Outputs
-1
(-.f64 (/.f64 alpha (+.f64 2 beta)) 1)
(+.f64 (/.f64 alpha (+.f64 2 beta)) -1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 beta) 2))) (/.f64 alpha (+.f64 2 beta))) 1)
(+.f64 (fma.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 beta) 2)) (/.f64 alpha (+.f64 2 beta))) -1)
(+.f64 (-.f64 (/.f64 alpha (+.f64 2 beta)) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 beta) 2))) -1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 beta) 2))) (+.f64 (/.f64 alpha (+.f64 2 beta)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3)))) 1)
(+.f64 (+.f64 (fma.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 beta) 2)) (/.f64 alpha (+.f64 2 beta))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3))) -1)
(+.f64 (+.f64 (-.f64 (/.f64 alpha (+.f64 2 beta)) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 beta) 2))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3))) -1)
(*.f64 -1 (/.f64 (+.f64 2 beta) alpha))
(neg.f64 (/.f64 (+.f64 2 beta) alpha))
(/.f64 (-.f64 -2 beta) alpha)
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 beta) alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)))
(fma.f64 -1 (/.f64 (+.f64 2 beta) alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)))
(+.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 beta) alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3))) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))))
(fma.f64 -1 (/.f64 (+.f64 2 beta) alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))))
(+.f64 (/.f64 (-.f64 -2 beta) alpha) (-.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 beta) alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3))) (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4)))))
(fma.f64 -1 (/.f64 (+.f64 2 beta) alpha) (+.f64 (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4))))
(+.f64 (/.f64 (-.f64 -2 beta) alpha) (+.f64 (-.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3))) (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4))))
(*.f64 -1 (/.f64 (+.f64 2 beta) alpha))
(neg.f64 (/.f64 (+.f64 2 beta) alpha))
(/.f64 (-.f64 -2 beta) alpha)
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 beta) alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)))
(fma.f64 -1 (/.f64 (+.f64 2 beta) alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)))
(+.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 beta) alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3))) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))))
(fma.f64 -1 (/.f64 (+.f64 2 beta) alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))))
(+.f64 (/.f64 (-.f64 -2 beta) alpha) (-.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 beta) alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3))) (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4)))))
(fma.f64 -1 (/.f64 (+.f64 2 beta) alpha) (+.f64 (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4))))
(+.f64 (/.f64 (-.f64 -2 beta) alpha) (+.f64 (-.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3))) (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4))))
(-.f64 (/.f64 alpha (+.f64 2 alpha)) 1)
(+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 alpha (+.f64 2 alpha))) 1)
(+.f64 (fma.f64 -1 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 alpha (+.f64 alpha 2))) -1)
(+.f64 (-.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 2) beta))) -1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (/.f64 alpha (+.f64 2 alpha)) (/.f64 (*.f64 alpha (pow.f64 beta 2)) (pow.f64 (+.f64 2 alpha) 3)))) 1)
(+.f64 (+.f64 (fma.f64 -1 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 alpha (+.f64 alpha 2))) (/.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 2)))) -1)
(+.f64 (+.f64 (-.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 2) beta))) (/.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 2)))) -1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 alpha (pow.f64 beta 3)) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 (/.f64 alpha (+.f64 2 alpha)) (/.f64 (*.f64 alpha (pow.f64 beta 2)) (pow.f64 (+.f64 2 alpha) 3))))) 1)
(+.f64 (fma.f64 -1 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 alpha 2) 2)) (fma.f64 -1 (/.f64 (*.f64 alpha (pow.f64 beta 3)) (pow.f64 (+.f64 alpha 2) 4)) (+.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 2)))))) -1)
(+.f64 (-.f64 (-.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 2)))) (/.f64 (*.f64 alpha (pow.f64 beta 3)) (pow.f64 (+.f64 alpha 2) 4))) (/.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 2) beta))) -1)
-1
(-.f64 (/.f64 alpha beta) 1)
(+.f64 (/.f64 alpha beta) -1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2))) (/.f64 alpha beta)) 1)
(+.f64 (fma.f64 -1 (/.f64 alpha (/.f64 (pow.f64 beta 2) (+.f64 alpha 2))) (/.f64 alpha beta)) -1)
(+.f64 (-.f64 (/.f64 alpha beta) (/.f64 alpha (/.f64 (pow.f64 beta 2) (+.f64 alpha 2)))) -1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (/.f64 alpha beta) (/.f64 (*.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3)))) 1)
(+.f64 (+.f64 (fma.f64 -1 (/.f64 alpha (/.f64 (pow.f64 beta 2) (+.f64 alpha 2))) (/.f64 alpha beta)) (/.f64 alpha (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 2)))) -1)
(+.f64 (+.f64 (-.f64 (/.f64 alpha beta) (/.f64 alpha (/.f64 (pow.f64 beta 2) (+.f64 alpha 2)))) (/.f64 alpha (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 2)))) -1)
-1
(-.f64 (/.f64 alpha beta) 1)
(+.f64 (/.f64 alpha beta) -1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2))) (/.f64 alpha beta)) 1)
(+.f64 (fma.f64 -1 (/.f64 alpha (/.f64 (pow.f64 beta 2) (+.f64 alpha 2))) (/.f64 alpha beta)) -1)
(+.f64 (-.f64 (/.f64 alpha beta) (/.f64 alpha (/.f64 (pow.f64 beta 2) (+.f64 alpha 2)))) -1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (/.f64 alpha beta) (/.f64 (*.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3)))) 1)
(+.f64 (+.f64 (fma.f64 -1 (/.f64 alpha (/.f64 (pow.f64 beta 2) (+.f64 alpha 2))) (/.f64 alpha beta)) (/.f64 alpha (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 2)))) -1)
(+.f64 (+.f64 (-.f64 (/.f64 alpha beta) (/.f64 alpha (/.f64 (pow.f64 beta 2) (+.f64 alpha 2)))) (/.f64 alpha (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 2)))) -1)
(-.f64 1 (/.f64 alpha (+.f64 2 alpha)))
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(-.f64 (+.f64 1 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 1 (*.f64 beta (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))))) (/.f64 alpha (+.f64 alpha 2)))
(-.f64 (fma.f64 beta (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) 1) (/.f64 alpha (+.f64 alpha 2)))
(-.f64 (+.f64 1 (+.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha)))
(+.f64 1 (-.f64 (fma.f64 beta (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (pow.f64 beta 2) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))))) (/.f64 alpha (+.f64 alpha 2))))
(+.f64 1 (-.f64 (fma.f64 (pow.f64 beta 2) (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))) (*.f64 beta (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))))) (/.f64 alpha (+.f64 alpha 2))))
(-.f64 (+.f64 1 (+.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))))))) (/.f64 alpha (+.f64 2 alpha)))
(+.f64 1 (-.f64 (fma.f64 beta (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 (pow.f64 beta 2) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)))))) (/.f64 alpha (+.f64 alpha 2))))
(+.f64 1 (-.f64 (fma.f64 beta (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 (pow.f64 beta 2) (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)))))) (/.f64 alpha (+.f64 alpha 2))))
2
(+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)))
(+.f64 2 (neg.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta)))
(-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))
(-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(+.f64 2 (-.f64 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) (/.f64 alpha (/.f64 (pow.f64 beta 2) (+.f64 alpha 2)))) (neg.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2)))))
(+.f64 (+.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) (/.f64 alpha (/.f64 (pow.f64 beta 2) (+.f64 alpha 2)))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2)))
(-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (*.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))))
(+.f64 2 (-.f64 (fma.f64 -1 (/.f64 alpha (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) (/.f64 alpha (/.f64 (pow.f64 beta 2) (+.f64 alpha 2))))) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)))))
(+.f64 2 (+.f64 (-.f64 (-.f64 (/.f64 alpha (/.f64 (pow.f64 beta 2) (+.f64 alpha 2))) (/.f64 (fma.f64 alpha 2 2) beta)) (/.f64 alpha (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 2)))) (-.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)))))
2
(+.f64 2 (*.f64 -1 (/.f64 (-.f64 (+.f64 2 alpha) (*.f64 -1 alpha)) beta)))
(+.f64 2 (neg.f64 (/.f64 (-.f64 (+.f64 alpha 2) (neg.f64 alpha)) beta)))
(-.f64 2 (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta))
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 2 alpha) (*.f64 -1 alpha)) beta)) (+.f64 (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))
(+.f64 2 (fma.f64 -1 (/.f64 (-.f64 (+.f64 alpha 2) (neg.f64 alpha)) beta) (+.f64 (/.f64 alpha (/.f64 (pow.f64 beta 2) (+.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2)))))
(+.f64 2 (-.f64 (+.f64 (/.f64 alpha (/.f64 (pow.f64 beta 2) (+.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2))) (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta)))
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1
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1
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(+.f64 (*.f64 -1 (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 beta 4))) (+.f64 (/.f64 alpha beta) (/.f64 (*.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3)))))
(fma.f64 -1 (/.f64 alpha (/.f64 (pow.f64 beta 2) (+.f64 alpha 2))) (fma.f64 -1 (/.f64 alpha (/.f64 (pow.f64 beta 4) (pow.f64 (+.f64 alpha 2) 3))) (+.f64 (/.f64 alpha beta) (/.f64 alpha (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 2))))))
(-.f64 (-.f64 (+.f64 (/.f64 alpha beta) (/.f64 alpha (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 2)))) (/.f64 alpha (/.f64 (pow.f64 beta 4) (pow.f64 (+.f64 alpha 2) 3)))) (/.f64 alpha (/.f64 (pow.f64 beta 2) (+.f64 alpha 2))))
(/.f64 beta (+.f64 2 alpha))
(/.f64 beta (+.f64 alpha 2))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 beta (+.f64 2 alpha)))
(fma.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 beta (+.f64 alpha 2)))
(-.f64 (/.f64 beta (+.f64 alpha 2)) (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 2)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (/.f64 beta (+.f64 2 alpha)) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3))))
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(fma.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 2)) (fma.f64 -1 (/.f64 (pow.f64 beta 4) (pow.f64 (+.f64 alpha 2) 4)) (+.f64 (/.f64 beta (+.f64 alpha 2)) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))))
(-.f64 (-.f64 (+.f64 (/.f64 beta (+.f64 alpha 2)) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (/.f64 (pow.f64 beta 4) (pow.f64 (+.f64 alpha 2) 4))) (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 2)))
1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)))
(+.f64 1 (neg.f64 (/.f64 (+.f64 alpha 2) beta)))
(-.f64 1 (/.f64 (+.f64 alpha 2) beta))
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(+.f64 1 (fma.f64 -1 (/.f64 (+.f64 alpha 2) beta) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2))))
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1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)))
(+.f64 1 (neg.f64 (/.f64 (+.f64 alpha 2) beta)))
(-.f64 1 (/.f64 (+.f64 alpha 2) beta))
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(/.f64 beta (+.f64 2 beta))
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(fma.f64 -1 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 2 beta) 2)) (/.f64 beta (+.f64 2 beta)))
(-.f64 (/.f64 beta (+.f64 2 beta)) (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 2 beta) 2)))
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(fma.f64 -1 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 2 beta) 2)) (fma.f64 -1 (/.f64 (pow.f64 alpha 3) (/.f64 (pow.f64 (+.f64 2 beta) 4) beta)) (+.f64 (/.f64 (pow.f64 alpha 2) (/.f64 (pow.f64 (+.f64 2 beta) 3) beta)) (/.f64 beta (+.f64 2 beta)))))
(-.f64 (-.f64 (+.f64 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (+.f64 2 beta))) (/.f64 (pow.f64 alpha 3) (/.f64 (pow.f64 (+.f64 2 beta) 4) beta))) (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 2 beta) 2)))
(/.f64 beta alpha)
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))) (/.f64 beta alpha))
(fma.f64 -1 (/.f64 beta (/.f64 (pow.f64 alpha 2) (+.f64 2 beta))) (/.f64 beta alpha))
(-.f64 (/.f64 beta alpha) (/.f64 beta (/.f64 (pow.f64 alpha 2) (+.f64 2 beta))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3))))
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(fma.f64 -1 (/.f64 beta (/.f64 (pow.f64 alpha 2) (+.f64 2 beta))) (fma.f64 -1 (/.f64 beta (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 2 beta) 3))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3)))))
(-.f64 (-.f64 (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3))) (/.f64 beta (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 2 beta) 3)))) (/.f64 beta (/.f64 (pow.f64 alpha 2) (+.f64 2 beta))))
(/.f64 beta alpha)
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))) (/.f64 beta alpha))
(fma.f64 -1 (/.f64 beta (/.f64 (pow.f64 alpha 2) (+.f64 2 beta))) (/.f64 beta alpha))
(-.f64 (/.f64 beta alpha) (/.f64 beta (/.f64 (pow.f64 alpha 2) (+.f64 2 beta))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3))))
(fma.f64 -1 (/.f64 beta (/.f64 (pow.f64 alpha 2) (+.f64 2 beta))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3))))
(+.f64 (-.f64 (/.f64 beta alpha) (/.f64 beta (/.f64 (pow.f64 alpha 2) (+.f64 2 beta)))) (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 3)) (pow.f64 alpha 4))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3)))))
(fma.f64 -1 (/.f64 beta (/.f64 (pow.f64 alpha 2) (+.f64 2 beta))) (fma.f64 -1 (/.f64 beta (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 2 beta) 3))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3)))))
(-.f64 (-.f64 (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3))) (/.f64 beta (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 2 beta) 3)))) (/.f64 beta (/.f64 (pow.f64 alpha 2) (+.f64 2 beta))))
1
(+.f64 1 (*.f64 1/2 beta))
(+.f64 1 (*.f64 beta 1/2))
(fma.f64 beta 1/2 1)
(+.f64 1 (+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/2 beta)))
(+.f64 1 (fma.f64 -1/4 (pow.f64 beta 2) (*.f64 beta 1/2)))
(+.f64 1 (fma.f64 (pow.f64 beta 2) -1/4 (*.f64 beta 1/2)))
(+.f64 1 (+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (+.f64 (*.f64 1/8 (pow.f64 beta 3)) (*.f64 1/2 beta))))
(+.f64 1 (fma.f64 -1/4 (pow.f64 beta 2) (fma.f64 1/8 (pow.f64 beta 3) (*.f64 beta 1/2))))
(+.f64 1 (fma.f64 (pow.f64 beta 2) -1/4 (fma.f64 (pow.f64 beta 3) 1/8 (*.f64 beta 1/2))))
2
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(-.f64 2 (/.f64 2 beta))
(+.f64 2 (/.f64 -2 beta))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta)))
(+.f64 2 (-.f64 (/.f64 4 (pow.f64 beta 2)) (/.f64 2 beta)))
(+.f64 2 (+.f64 (/.f64 4 (pow.f64 beta 2)) (/.f64 -2 beta)))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 8 (/.f64 1 (pow.f64 beta 3)))))
(+.f64 2 (-.f64 (/.f64 4 (pow.f64 beta 2)) (+.f64 (/.f64 2 beta) (/.f64 8 (pow.f64 beta 3)))))
2
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(-.f64 2 (/.f64 2 beta))
(+.f64 2 (/.f64 -2 beta))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta)))
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(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 8 (/.f64 1 (pow.f64 beta 3)))))
(+.f64 2 (-.f64 (/.f64 4 (pow.f64 beta 2)) (+.f64 (/.f64 2 beta) (/.f64 8 (pow.f64 beta 3)))))
(*.f64 1/2 beta)
(*.f64 beta 1/2)
(+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/2 beta))
(fma.f64 -1/4 (pow.f64 beta 2) (*.f64 beta 1/2))
(fma.f64 (pow.f64 beta 2) -1/4 (*.f64 beta 1/2))
(+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (+.f64 (*.f64 1/8 (pow.f64 beta 3)) (*.f64 1/2 beta)))
(fma.f64 -1/4 (pow.f64 beta 2) (fma.f64 1/8 (pow.f64 beta 3) (*.f64 beta 1/2)))
(fma.f64 (pow.f64 beta 2) -1/4 (fma.f64 (pow.f64 beta 3) 1/8 (*.f64 beta 1/2)))
(+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (+.f64 (*.f64 -1/16 (pow.f64 beta 4)) (+.f64 (*.f64 1/8 (pow.f64 beta 3)) (*.f64 1/2 beta))))
(fma.f64 -1/4 (pow.f64 beta 2) (fma.f64 -1/16 (pow.f64 beta 4) (fma.f64 1/8 (pow.f64 beta 3) (*.f64 beta 1/2))))
(fma.f64 (pow.f64 beta 2) -1/4 (fma.f64 (pow.f64 beta 4) -1/16 (fma.f64 (pow.f64 beta 3) 1/8 (*.f64 beta 1/2))))
1
(-.f64 1 (*.f64 2 (/.f64 1 beta)))
(-.f64 1 (/.f64 2 beta))
(+.f64 1 (/.f64 -2 beta))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta)))
(+.f64 1 (-.f64 (/.f64 4 (pow.f64 beta 2)) (/.f64 2 beta)))
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(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 8 (/.f64 1 (pow.f64 beta 3)))))
(-.f64 (+.f64 1 (-.f64 (/.f64 4 (pow.f64 beta 2)) (/.f64 2 beta))) (/.f64 8 (pow.f64 beta 3)))
(+.f64 1 (-.f64 (/.f64 4 (pow.f64 beta 2)) (+.f64 (/.f64 2 beta) (/.f64 8 (pow.f64 beta 3)))))
1
(-.f64 1 (*.f64 2 (/.f64 1 beta)))
(-.f64 1 (/.f64 2 beta))
(+.f64 1 (/.f64 -2 beta))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta)))
(+.f64 1 (-.f64 (/.f64 4 (pow.f64 beta 2)) (/.f64 2 beta)))
(+.f64 1 (+.f64 (/.f64 4 (pow.f64 beta 2)) (/.f64 -2 beta)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 8 (/.f64 1 (pow.f64 beta 3)))))
(-.f64 (+.f64 1 (-.f64 (/.f64 4 (pow.f64 beta 2)) (/.f64 2 beta))) (/.f64 8 (pow.f64 beta 3)))
(+.f64 1 (-.f64 (/.f64 4 (pow.f64 beta 2)) (+.f64 (/.f64 2 beta) (/.f64 8 (pow.f64 beta 3)))))
(/.f64 1 alpha)
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(/.f64 beta alpha)
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(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
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(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(/.f64 beta alpha)
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(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(*.f64 1/2 (/.f64 (fma.f64 beta 2 2) alpha))
(*.f64 (fma.f64 2 beta 2) (/.f64 1/2 alpha))
(*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
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(*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
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(*.f64 (fma.f64 2 beta 2) (/.f64 1/2 alpha))
(/.f64 2 alpha)
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(*.f64 2 (/.f64 beta alpha))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(*.f64 2 (/.f64 beta alpha))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(-.f64 1 (/.f64 alpha (+.f64 2 alpha)))
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(-.f64 (+.f64 1 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 1 (*.f64 beta (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))))) (/.f64 alpha (+.f64 alpha 2)))
(-.f64 (fma.f64 beta (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) 1) (/.f64 alpha (+.f64 alpha 2)))
(-.f64 (+.f64 1 (+.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha)))
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(-.f64 (+.f64 1 (+.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))))))) (/.f64 alpha (+.f64 2 alpha)))
(+.f64 1 (-.f64 (fma.f64 beta (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 (pow.f64 beta 2) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)))))) (/.f64 alpha (+.f64 alpha 2))))
(+.f64 1 (-.f64 (fma.f64 beta (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 (pow.f64 beta 2) (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)))))) (/.f64 alpha (+.f64 alpha 2))))
2
(+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)))
(+.f64 2 (neg.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta)))
(-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))
(-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(+.f64 2 (-.f64 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) (/.f64 alpha (/.f64 (pow.f64 beta 2) (+.f64 alpha 2)))) (neg.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2)))))
(+.f64 (+.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) (/.f64 alpha (/.f64 (pow.f64 beta 2) (+.f64 alpha 2)))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2)))
(-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (*.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))))
(+.f64 2 (-.f64 (fma.f64 -1 (/.f64 alpha (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) (/.f64 alpha (/.f64 (pow.f64 beta 2) (+.f64 alpha 2))))) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)))))
(+.f64 2 (+.f64 (-.f64 (-.f64 (/.f64 alpha (/.f64 (pow.f64 beta 2) (+.f64 alpha 2))) (/.f64 (fma.f64 alpha 2 2) beta)) (/.f64 alpha (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 2)))) (-.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)))))
2
(+.f64 2 (*.f64 -1 (/.f64 (-.f64 (+.f64 2 alpha) (*.f64 -1 alpha)) beta)))
(+.f64 2 (neg.f64 (/.f64 (-.f64 (+.f64 alpha 2) (neg.f64 alpha)) beta)))
(-.f64 2 (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta))
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 2 alpha) (*.f64 -1 alpha)) beta)) (+.f64 (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))
(+.f64 2 (fma.f64 -1 (/.f64 (-.f64 (+.f64 alpha 2) (neg.f64 alpha)) beta) (+.f64 (/.f64 alpha (/.f64 (pow.f64 beta 2) (+.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2)))))
(+.f64 2 (-.f64 (+.f64 (/.f64 alpha (/.f64 (pow.f64 beta 2) (+.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2))) (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta)))
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 2 alpha) (*.f64 -1 alpha)) beta)) (+.f64 (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))))
(+.f64 2 (fma.f64 -1 (/.f64 (fma.f64 alpha (pow.f64 (+.f64 alpha 2) 2) (pow.f64 (+.f64 alpha 2) 3)) (pow.f64 beta 3)) (fma.f64 -1 (/.f64 (-.f64 (+.f64 alpha 2) (neg.f64 alpha)) beta) (+.f64 (/.f64 alpha (/.f64 (pow.f64 beta 2) (+.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2))))))
(+.f64 2 (-.f64 (-.f64 (+.f64 (/.f64 alpha (/.f64 (pow.f64 beta 2) (+.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2))) (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta)) (/.f64 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 2 (+.f64 alpha alpha))) (pow.f64 beta 3))))
(+.f64 1 (/.f64 beta (+.f64 2 beta)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta))))
(+.f64 1 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (+.f64 2 beta)))) (/.f64 beta (+.f64 2 beta))))
(+.f64 1 (-.f64 (/.f64 beta (+.f64 2 beta)) (*.f64 alpha (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (+.f64 2 beta))))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (+.f64 (*.f64 (pow.f64 alpha 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 3))))) (/.f64 beta (+.f64 2 beta)))))
(+.f64 1 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (+.f64 2 beta)))) (fma.f64 (pow.f64 alpha 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3))) (/.f64 beta (+.f64 2 beta)))))
(+.f64 1 (-.f64 (fma.f64 (pow.f64 alpha 2) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 beta (pow.f64 (+.f64 2 beta) 3))) (/.f64 beta (+.f64 2 beta))) (*.f64 alpha (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (+.f64 2 beta))))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))) (+.f64 (*.f64 (pow.f64 alpha 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 3))))) (/.f64 beta (+.f64 2 beta))))))
(+.f64 1 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (+.f64 2 beta)))) (fma.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4)))) (fma.f64 (pow.f64 alpha 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3))) (/.f64 beta (+.f64 2 beta))))))
(+.f64 (-.f64 1 (*.f64 alpha (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (+.f64 2 beta))))) (-.f64 (fma.f64 (pow.f64 alpha 2) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 beta (pow.f64 (+.f64 2 beta) 3))) (/.f64 beta (+.f64 2 beta))) (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))))
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (fma.f64 beta 2 2) alpha)
(/.f64 (fma.f64 2 beta 2) alpha)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))) (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2)))
(-.f64 (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) (/.f64 beta (/.f64 (pow.f64 alpha 2) (+.f64 2 beta))))
(-.f64 (-.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (/.f64 beta (/.f64 (pow.f64 alpha 2) (+.f64 2 beta))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 2 (/.f64 1 alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3))) (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))))
(-.f64 (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)) (+.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)))) (fma.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3)) (/.f64 beta (/.f64 (pow.f64 alpha 2) (+.f64 2 beta)))))
(-.f64 (-.f64 (+.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3))) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (-.f64 (/.f64 beta (/.f64 (pow.f64 alpha 2) (+.f64 2 beta))) (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 2 (/.f64 1 alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3))) (+.f64 (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2)) (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 3)) (pow.f64 alpha 4)))))
(-.f64 (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4)) (+.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3))))) (+.f64 (fma.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3)) (/.f64 beta (/.f64 (pow.f64 alpha 2) (+.f64 2 beta)))) (/.f64 beta (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 2 beta) 3)))))
(-.f64 (-.f64 (-.f64 (+.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3))) (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4))) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (+.f64 (-.f64 (/.f64 beta (/.f64 (pow.f64 alpha 2) (+.f64 2 beta))) (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3))) (/.f64 beta (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 2 beta) 3)))))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha))
(neg.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha))
(/.f64 (neg.f64 (-.f64 (-.f64 -2 beta) beta)) alpha)
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha)))
(*.f64 -1 (+.f64 (/.f64 (fma.f64 beta (+.f64 2 beta) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2)) (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha)))
(neg.f64 (+.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (*.f64 (+.f64 2 beta) (+.f64 (+.f64 2 beta) beta)) (pow.f64 alpha 2))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)))))
(fma.f64 -1 (/.f64 (fma.f64 beta (+.f64 2 beta) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2)) (fma.f64 -1 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3)))))
(-.f64 (-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3))) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) (/.f64 (*.f64 (+.f64 2 beta) (+.f64 (+.f64 2 beta) beta)) (pow.f64 alpha 2)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 3)) (pow.f64 (+.f64 2 beta) 4)) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3))))))
(fma.f64 -1 (/.f64 (fma.f64 beta (+.f64 2 beta) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2)) (fma.f64 -1 (/.f64 (fma.f64 beta (pow.f64 (+.f64 2 beta) 3) (pow.f64 (+.f64 2 beta) 4)) (pow.f64 alpha 4)) (fma.f64 -1 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3))))))
(-.f64 (-.f64 (-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3))) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) (/.f64 (fma.f64 beta (pow.f64 (+.f64 2 beta) 3) (pow.f64 (+.f64 2 beta) 4)) (pow.f64 alpha 4))) (/.f64 (*.f64 (+.f64 2 beta) (+.f64 (+.f64 2 beta) beta)) (pow.f64 alpha 2)))
1
(+.f64 1 (/.f64 beta (+.f64 2 alpha)))
(+.f64 1 (/.f64 beta (+.f64 alpha 2)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 beta (+.f64 2 alpha))))
(+.f64 1 (fma.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 beta (+.f64 alpha 2))))
(+.f64 1 (-.f64 (/.f64 beta (+.f64 alpha 2)) (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 2))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (/.f64 beta (+.f64 2 alpha)) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3)))))
(+.f64 1 (+.f64 (fma.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 beta (+.f64 alpha 2))) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))))
(+.f64 1 (+.f64 (-.f64 (/.f64 beta (+.f64 alpha 2)) (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))))
2
(+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)))
(+.f64 2 (neg.f64 (/.f64 (+.f64 alpha 2) beta)))
(-.f64 2 (/.f64 (+.f64 alpha 2) beta))
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(+.f64 2 (fma.f64 -1 (/.f64 (+.f64 alpha 2) beta) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2))))
(+.f64 2 (-.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 2) beta)))
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))
(+.f64 2 (fma.f64 -1 (/.f64 (+.f64 alpha 2) beta) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2)))))
(+.f64 (-.f64 2 (/.f64 (+.f64 alpha 2) beta)) (-.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))))
2
(+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)))
(+.f64 2 (neg.f64 (/.f64 (+.f64 alpha 2) beta)))
(-.f64 2 (/.f64 (+.f64 alpha 2) beta))
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(+.f64 2 (fma.f64 -1 (/.f64 (+.f64 alpha 2) beta) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2))))
(+.f64 2 (-.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 2) beta)))
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))
(+.f64 2 (fma.f64 -1 (/.f64 (+.f64 alpha 2) beta) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2)))))
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1
(+.f64 1 (/.f64 beta alpha))
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(+.f64 1 (fma.f64 -1 (/.f64 beta (/.f64 (pow.f64 alpha 2) (+.f64 2 beta))) (/.f64 beta alpha)))
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1
(+.f64 1 (/.f64 beta alpha))
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(+.f64 1 (fma.f64 -1 (/.f64 beta (/.f64 (pow.f64 alpha 2) (+.f64 2 beta))) (/.f64 beta alpha)))
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(/.f64 alpha (+.f64 2 beta))
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(fma.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 beta) 2)) (/.f64 alpha (+.f64 2 beta)))
(-.f64 (/.f64 alpha (+.f64 2 beta)) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 beta) 2)))
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(fma.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 beta) 2)) (fma.f64 -1 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 2 beta) 4)) (+.f64 (/.f64 alpha (+.f64 2 beta)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3)))))
(-.f64 (-.f64 (+.f64 (/.f64 alpha (+.f64 2 beta)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3))) (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 2 beta) 4))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 beta) 2)))
1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 beta) alpha)))
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(-.f64 1 (/.f64 (+.f64 2 beta) alpha))
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1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 beta) alpha)))
(+.f64 1 (neg.f64 (/.f64 (+.f64 2 beta) alpha)))
(-.f64 1 (/.f64 (+.f64 2 beta) alpha))
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(/.f64 alpha (+.f64 2 alpha))
(/.f64 alpha (+.f64 alpha 2))
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(fma.f64 -1 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 alpha (+.f64 alpha 2)))
(-.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 2) beta)))
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(fma.f64 -1 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 alpha 2) 2)) (fma.f64 -1 (/.f64 (*.f64 alpha (pow.f64 beta 3)) (pow.f64 (+.f64 alpha 2) 4)) (+.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 2))))))
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(/.f64 alpha beta)
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(fma.f64 -1 (/.f64 alpha (/.f64 (pow.f64 beta 2) (+.f64 alpha 2))) (/.f64 alpha beta))
(-.f64 (/.f64 alpha beta) (/.f64 alpha (/.f64 (pow.f64 beta 2) (+.f64 alpha 2))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (/.f64 alpha beta) (/.f64 (*.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3))))
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(-.f64 (-.f64 (+.f64 (/.f64 alpha beta) (/.f64 alpha (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 2)))) (/.f64 alpha (/.f64 (pow.f64 beta 4) (pow.f64 (+.f64 alpha 2) 3)))) (/.f64 alpha (/.f64 (pow.f64 beta 2) (+.f64 alpha 2))))
(/.f64 alpha beta)
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(fma.f64 -1 (/.f64 alpha (/.f64 (pow.f64 beta 2) (+.f64 alpha 2))) (/.f64 alpha beta))
(-.f64 (/.f64 alpha beta) (/.f64 alpha (/.f64 (pow.f64 beta 2) (+.f64 alpha 2))))
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(fma.f64 -1 (/.f64 alpha (/.f64 (pow.f64 beta 2) (+.f64 alpha 2))) (fma.f64 -1 (/.f64 alpha (/.f64 (pow.f64 beta 4) (pow.f64 (+.f64 alpha 2) 3))) (+.f64 (/.f64 alpha beta) (/.f64 alpha (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 2))))))
(-.f64 (-.f64 (+.f64 (/.f64 alpha beta) (/.f64 alpha (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 2)))) (/.f64 alpha (/.f64 (pow.f64 beta 4) (pow.f64 (+.f64 alpha 2) 3)))) (/.f64 alpha (/.f64 (pow.f64 beta 2) (+.f64 alpha 2))))
(/.f64 beta (+.f64 2 alpha))
(/.f64 beta (+.f64 alpha 2))
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(-.f64 (/.f64 beta (+.f64 alpha 2)) (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 2)))
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(fma.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 2)) (fma.f64 -1 (/.f64 (pow.f64 beta 4) (pow.f64 (+.f64 alpha 2) 4)) (+.f64 (/.f64 beta (+.f64 alpha 2)) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))))
(-.f64 (-.f64 (+.f64 (/.f64 beta (+.f64 alpha 2)) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (/.f64 (pow.f64 beta 4) (pow.f64 (+.f64 alpha 2) 4))) (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 2)))
1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)))
(+.f64 1 (neg.f64 (/.f64 (+.f64 alpha 2) beta)))
(-.f64 1 (/.f64 (+.f64 alpha 2) beta))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(+.f64 1 (fma.f64 -1 (/.f64 (+.f64 alpha 2) beta) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2))))
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(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))
(+.f64 1 (fma.f64 -1 (/.f64 (+.f64 alpha 2) beta) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2)))))
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1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)))
(+.f64 1 (neg.f64 (/.f64 (+.f64 alpha 2) beta)))
(-.f64 1 (/.f64 (+.f64 alpha 2) beta))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
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(+.f64 1 (fma.f64 -1 (/.f64 (+.f64 alpha 2) beta) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2)))))
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(/.f64 beta (+.f64 2 beta))
(+.f64 (*.f64 -1 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 2 beta) 2))) (/.f64 beta (+.f64 2 beta)))
(fma.f64 -1 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 2 beta) 2)) (/.f64 beta (+.f64 2 beta)))
(-.f64 (/.f64 beta (+.f64 2 beta)) (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 2 beta) 2)))
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(*.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))))
(*.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta))))
(*.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))) (/.f64 beta (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))))
(*.f64 (/.f64 beta (-.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)))
(*.f64 (-.f64 beta (+.f64 alpha 2)) (/.f64 beta (-.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 2))))
(/.f64 (*.f64 beta (+.f64 (-.f64 beta alpha) -2)) (-.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 2)))
(pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 1)
(/.f64 beta (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (cbrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 3)
(/.f64 beta (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 2)
(/.f64 beta (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 3) 1/3)
(/.f64 beta (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta) -1)
(/.f64 1 (/.f64 (+.f64 alpha (+.f64 2 beta)) beta))
(neg.f64 (/.f64 beta (+.f64 (neg.f64 (+.f64 alpha beta)) -2)))
(/.f64 (*.f64 (neg.f64 beta) 1) (+.f64 (neg.f64 (+.f64 alpha beta)) -2))
(/.f64 (neg.f64 beta) (-.f64 -2 (+.f64 alpha beta)))
(sqrt.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2))
(sqrt.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) 2))
(fabs.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))))
(log.f64 (exp.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))
(/.f64 beta (+.f64 alpha (+.f64 2 beta)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))))
(/.f64 beta (+.f64 alpha (+.f64 2 beta)))
(cbrt.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 3))
(/.f64 beta (+.f64 alpha (+.f64 2 beta)))
(expm1.f64 (log1p.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))
(/.f64 beta (+.f64 alpha (+.f64 2 beta)))
(exp.f64 (log.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))
(/.f64 beta (+.f64 alpha (+.f64 2 beta)))
(exp.f64 (*.f64 (log.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 1))
(/.f64 beta (+.f64 alpha (+.f64 2 beta)))
(log1p.f64 (expm1.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))
(/.f64 beta (+.f64 alpha (+.f64 2 beta)))

eval546.0ms (7.4%)

Compiler

Compiled 27667 to 19960 computations (27.9% saved)

prune226.0ms (3%)

Pruning

15 alts after pruning (12 fresh and 3 done)

PrunedKeptTotal
New95810968
Fresh426
Picked325
Done011
Total96515980
Accuracy
100.0%
Counts
980 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
31.8%
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 beta) alpha)) 2)
71.2%
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) -1) 2)
47.2%
(/.f64 (-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha beta)) 2)
30.3%
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)) (-.f64 (-.f64 -2 beta) beta)) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 2)
26.0%
(/.f64 (-.f64 2 (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta)) 2)
26.4%
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
50.7%
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
72.1%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
71.2%
(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
71.2%
(/.f64 (+.f64 (/.f64 1 (/.f64 (+.f64 2 beta) beta)) 1) 2)
47.8%
(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
11.1%
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
33.5%
(/.f64 2 2)
24.7%
(/.f64 1 alpha)
31.8%
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
31.8%
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 beta) alpha)) 2)
71.2%
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) -1) 2)
47.2%
(/.f64 (-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha beta)) 2)
30.3%
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)) (-.f64 (-.f64 -2 beta) beta)) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 2)
26.0%
(/.f64 (-.f64 2 (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta)) 2)
26.4%
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
50.7%
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
72.1%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
71.2%
(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
71.2%
(/.f64 (+.f64 (/.f64 1 (/.f64 (+.f64 2 beta) beta)) 1) 2)
47.8%
(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
11.1%
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
33.5%
(/.f64 2 2)
24.7%
(/.f64 1 alpha)
31.8%
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
Compiler

Compiled 662 to 510 computations (23% saved)

localize137.0ms (1.9%)

Localize:

Found 8 expressions with local error:

NewAccuracyProgram
100.0%
(/.f64 (+.f64 2 beta) beta)
100.0%
(+.f64 (/.f64 1 (/.f64 (+.f64 2 beta) beta)) 1)
99.8%
(/.f64 1 (/.f64 (+.f64 2 beta) beta))
100.0%
(-.f64 2 (/.f64 2 beta))
99.7%
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
100.0%
(+.f64 beta (+.f64 alpha 2))
100.0%
(/.f64 beta (+.f64 beta (+.f64 alpha 2)))
100.0%
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) -1)
Compiler

Compiled 120 to 80 computations (33.3% saved)

series6.0ms (0.1%)

Counts
7 → 120
Calls

30 calls:

TimeVariablePointExpression
0.0ms
beta
@inf
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
0.0ms
beta
@-inf
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
0.0ms
beta
@0
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
0.0ms
beta
@-inf
(/.f64 (+.f64 2 beta) beta)
0.0ms
alpha
@inf
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)

rewrite137.0ms (1.9%)

Algorithm
batch-egg-rewrite
Rules
702×log1p-udef
700×expm1-udef
585×log1p-expm1-u
234×associate-*r*
198×expm1-log1p-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023169
1413145
26458145
Stop Event
node limit
Counts
7 → 251
Calls
Call 1
Inputs
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) -1)
(+.f64 beta (+.f64 alpha 2))
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
(-.f64 2 (/.f64 2 beta))
(/.f64 1 (/.f64 (+.f64 2 beta) beta))
(+.f64 (/.f64 1 (/.f64 (+.f64 2 beta) beta)) 1)
(/.f64 (+.f64 2 beta) beta)
Outputs
(+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1)
(+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))
(*.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1) 1)
(*.f64 1 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1))
(*.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1)) 2) (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1)) (sqrt.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1)))
(*.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) 1) (/.f64 1 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (+.f64 1 (/.f64 -1 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta))))))
(*.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) -1) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (+.f64 1 (/.f64 -1 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta)))) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) 1)))
(/.f64 1 (/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) -1)))
(/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) 1) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (+.f64 1 (/.f64 -1 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta)))))
(/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) 1) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) -1) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) -1))
(/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) -1) (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) 1)) (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (+.f64 1 (/.f64 -1 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) -1)) (neg.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) -1)))
(pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1)) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1)) 2)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1)))
(exp.f64 (log1p.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1)
(fma.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 1)
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 beta (+.f64 alpha 2)))) 1)
(-.f64 (/.f64 (pow.f64 beta 2) (-.f64 beta (+.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (-.f64 beta (+.f64 alpha 2))))
(*.f64 (+.f64 beta (+.f64 alpha 2)) 1)
(*.f64 1 (+.f64 beta (+.f64 alpha 2)))
(*.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2) (cbrt.f64 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)) (/.f64 1 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta)))))
(*.f64 (-.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (-.f64 beta (+.f64 alpha 2))))
(/.f64 1 (/.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta))) (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))))
(/.f64 1 (/.f64 (-.f64 beta (+.f64 alpha 2)) (-.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta))))
(/.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)) (+.f64 (pow.f64 (+.f64 alpha 2) 2) (-.f64 (pow.f64 beta 2) (*.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 2)) (-.f64 beta (+.f64 alpha 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))) (neg.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 2))) (neg.f64 (-.f64 beta (+.f64 alpha 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8) (+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))))
(/.f64 (-.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2)) (-.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) 4) (-.f64 (+.f64 beta alpha) 2))
(pow.f64 (+.f64 beta (+.f64 alpha 2)) 1)
(pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 3)
(pow.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)
(sqrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))
(log.f64 (exp.f64 (+.f64 beta (+.f64 alpha 2))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 beta (+.f64 alpha 2)))))
(cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3))
(expm1.f64 (log1p.f64 (+.f64 beta (+.f64 alpha 2))))
(exp.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))))
(exp.f64 (*.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))) 1))
(log1p.f64 (expm1.f64 (+.f64 beta (+.f64 alpha 2))))
(fma.f64 1 beta (+.f64 alpha 2))
(fma.f64 1 (+.f64 alpha 2) beta)
(fma.f64 (pow.f64 (cbrt.f64 beta) 2) (cbrt.f64 beta) (+.f64 alpha 2))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2) (cbrt.f64 (+.f64 alpha 2)) beta)
(fma.f64 (sqrt.f64 beta) (sqrt.f64 beta) (+.f64 alpha 2))
(fma.f64 (sqrt.f64 (+.f64 alpha 2)) (sqrt.f64 (+.f64 alpha 2)) beta)
(-.f64 (exp.f64 (log1p.f64 (/.f64 beta alpha))) 1)
(*.f64 beta (/.f64 1 alpha))
(*.f64 2 (/.f64 1 (*.f64 2 (/.f64 alpha beta))))
(*.f64 2 (*.f64 (/.f64 beta alpha) 1/2))
(*.f64 (/.f64 beta alpha) 1)
(*.f64 (*.f64 2 (/.f64 beta alpha)) 1/2)
(*.f64 1 (/.f64 beta alpha))
(*.f64 (pow.f64 (cbrt.f64 beta) 2) (*.f64 (cbrt.f64 beta) (/.f64 1 alpha)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 beta alpha) 2) 4)) (*.f64 (cbrt.f64 (*.f64 2 (/.f64 beta alpha))) 1/2))
(*.f64 (cbrt.f64 (/.f64 beta alpha)) (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2) (cbrt.f64 (/.f64 beta alpha)))
(*.f64 (sqrt.f64 beta) (*.f64 (sqrt.f64 beta) (/.f64 1 alpha)))
(*.f64 (sqrt.f64 (*.f64 2 (/.f64 beta alpha))) (*.f64 (sqrt.f64 (*.f64 2 (/.f64 beta alpha))) 1/2))
(*.f64 (sqrt.f64 (/.f64 beta alpha)) (sqrt.f64 (/.f64 beta alpha)))
(*.f64 (neg.f64 beta) (/.f64 1 (neg.f64 alpha)))
(*.f64 (*.f64 (/.f64 beta alpha) -2) -1/2)
(*.f64 (/.f64 1 alpha) beta)
(*.f64 1/2 (*.f64 2 (/.f64 beta alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) alpha))
(*.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) alpha))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 beta (cbrt.f64 alpha)))
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 beta (sqrt.f64 alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 beta alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 beta) (sqrt.f64 alpha)))
(*.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 alpha)))
(pow.f64 (/.f64 beta alpha) 1)
(pow.f64 (cbrt.f64 (/.f64 beta alpha)) 3)
(pow.f64 (pow.f64 (/.f64 beta alpha) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 beta alpha)) 2)
(pow.f64 (/.f64 alpha beta) -1)
(neg.f64 (/.f64 beta (neg.f64 alpha)))
(neg.f64 (/.f64 (*.f64 2 (/.f64 beta alpha)) -2))
(sqrt.f64 (pow.f64 (/.f64 beta alpha) 2))
(log.f64 (exp.f64 (/.f64 beta alpha)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 beta alpha))))
(cbrt.f64 (pow.f64 (/.f64 beta alpha) 3))
(cbrt.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))
(expm1.f64 (log1p.f64 (/.f64 beta alpha)))
(exp.f64 (log.f64 (/.f64 beta alpha)))
(exp.f64 (*.f64 (log.f64 (/.f64 beta alpha)) 1))
(log1p.f64 (expm1.f64 (/.f64 beta alpha)))
(+.f64 2 (/.f64 -2 beta))
(+.f64 2 (*.f64 (/.f64 -2 beta) 1))
(+.f64 (/.f64 -2 beta) 2)
(*.f64 (+.f64 2 (/.f64 -2 beta)) 1)
(*.f64 1 (+.f64 2 (/.f64 -2 beta)))
(*.f64 (cbrt.f64 (+.f64 2 (/.f64 -2 beta))) (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 -2 beta))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 -2 beta))) 2) (cbrt.f64 (+.f64 2 (/.f64 -2 beta))))
(*.f64 (sqrt.f64 (+.f64 2 (/.f64 -2 beta))) (sqrt.f64 (+.f64 2 (/.f64 -2 beta))))
(*.f64 (-.f64 8 (/.f64 8 (pow.f64 beta 3))) (/.f64 1 (+.f64 (+.f64 4 (/.f64 4 (pow.f64 beta 2))) (/.f64 4 beta))))
(*.f64 (-.f64 4 (/.f64 4 (pow.f64 beta 2))) (/.f64 1 (+.f64 2 (/.f64 2 beta))))
(/.f64 1 (/.f64 (+.f64 (+.f64 4 (/.f64 4 (pow.f64 beta 2))) (/.f64 4 beta)) (-.f64 8 (/.f64 8 (pow.f64 beta 3)))))
(/.f64 1 (/.f64 (+.f64 2 (/.f64 2 beta)) (-.f64 4 (/.f64 4 (pow.f64 beta 2)))))
(/.f64 (-.f64 8 (/.f64 8 (pow.f64 beta 3))) (+.f64 (+.f64 4 (/.f64 4 (pow.f64 beta 2))) (/.f64 4 beta)))
(/.f64 (-.f64 4 (/.f64 4 (pow.f64 beta 2))) (+.f64 2 (/.f64 2 beta)))
(/.f64 (neg.f64 (-.f64 8 (/.f64 8 (pow.f64 beta 3)))) (neg.f64 (+.f64 (+.f64 4 (/.f64 4 (pow.f64 beta 2))) (/.f64 4 beta))))
(/.f64 (neg.f64 (-.f64 4 (/.f64 4 (pow.f64 beta 2)))) (neg.f64 (+.f64 2 (/.f64 2 beta))))
(/.f64 (+.f64 8 (pow.f64 (/.f64 -2 beta) 3)) (+.f64 4 (-.f64 (*.f64 (/.f64 -2 beta) (/.f64 -2 beta)) (*.f64 2 (/.f64 -2 beta)))))
(/.f64 (-.f64 4 (*.f64 (/.f64 -2 beta) (/.f64 -2 beta))) (-.f64 2 (/.f64 -2 beta)))
(pow.f64 (+.f64 2 (/.f64 -2 beta)) 1)
(pow.f64 (cbrt.f64 (+.f64 2 (/.f64 -2 beta))) 3)
(pow.f64 (pow.f64 (+.f64 2 (/.f64 -2 beta)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 2 (/.f64 -2 beta))) 2)
(sqrt.f64 (pow.f64 (+.f64 2 (/.f64 -2 beta)) 2))
(log.f64 (exp.f64 (+.f64 2 (/.f64 -2 beta))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 2 (/.f64 -2 beta)))))
(cbrt.f64 (pow.f64 (+.f64 2 (/.f64 -2 beta)) 3))
(expm1.f64 (log1p.f64 (+.f64 2 (/.f64 -2 beta))))
(exp.f64 (log.f64 (+.f64 2 (/.f64 -2 beta))))
(exp.f64 (*.f64 (log.f64 (+.f64 2 (/.f64 -2 beta))) 1))
(log1p.f64 (expm1.f64 (+.f64 2 (/.f64 -2 beta))))
(-.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 1)
(*.f64 beta (/.f64 1 (+.f64 beta 2)))
(*.f64 -1 (/.f64 1 (/.f64 (+.f64 -2 (neg.f64 beta)) beta)))
(*.f64 1 (/.f64 beta (+.f64 beta 2)))
(*.f64 (/.f64 beta (+.f64 beta 2)) 1)
(*.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta 2))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (*.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 1))
(*.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (sqrt.f64 (/.f64 beta (+.f64 beta 2))))
(*.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (*.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 1))
(*.f64 (/.f64 1 (+.f64 beta 2)) beta)
(*.f64 (/.f64 1 (+.f64 beta 2)) (pow.f64 (/.f64 1 beta) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) beta)) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) beta)) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (+.f64 beta 2) beta)) -1) (pow.f64 (sqrt.f64 (/.f64 (+.f64 beta 2) beta)) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 beta (cbrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta 2))) (/.f64 beta (sqrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (+.f64 beta 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 (cbrt.f64 beta) (cbrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 beta 2))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 beta 2)))
(*.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta 2))) (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta 2))))
(*.f64 (*.f64 (/.f64 1 (+.f64 beta 2)) 1) beta)
(*.f64 (*.f64 (/.f64 1 (+.f64 beta 2)) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 beta))
(*.f64 (*.f64 (/.f64 1 (+.f64 beta 2)) (sqrt.f64 beta)) (sqrt.f64 beta))
(*.f64 (/.f64 beta (+.f64 8 (pow.f64 beta 3))) (+.f64 4 (*.f64 beta (-.f64 beta 2))))
(*.f64 (/.f64 beta (-.f64 4 (pow.f64 beta 2))) (-.f64 2 beta))
(*.f64 (/.f64 1 (+.f64 -2 (neg.f64 beta))) (neg.f64 beta))
(pow.f64 (/.f64 (+.f64 beta 2) beta) -1)
(pow.f64 (/.f64 beta (+.f64 beta 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 beta 2) beta) -3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 2)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 beta 2) beta) -2))
(log.f64 (exp.f64 (/.f64 beta (+.f64 beta 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 beta (+.f64 beta 2)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 2) beta) -3))
(cbrt.f64 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))))
(exp.f64 (log.f64 (/.f64 beta (+.f64 beta 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 beta 2) beta)) -1))
(exp.f64 (*.f64 (log.f64 (/.f64 beta (+.f64 beta 2))) 1))
(exp.f64 (-.f64 (log.f64 beta) (log.f64 (+.f64 beta 2))))
(log1p.f64 (expm1.f64 (/.f64 beta (+.f64 beta 2))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))))) 1)
(-.f64 (/.f64 (pow.f64 (/.f64 (+.f64 beta 2) beta) -2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1)))
(*.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2))))
(*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 1)
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) 2) (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (sqrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))
(*.f64 (+.f64 1 (pow.f64 (/.f64 (+.f64 beta 2) beta) -3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (+.f64 beta 2) beta) -2) (-.f64 1 (/.f64 beta (+.f64 beta 2))))))
(*.f64 (+.f64 (pow.f64 (/.f64 (+.f64 beta 2) beta) -2) -1) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 beta 2) beta) -2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))) (+.f64 1 (pow.f64 (/.f64 (+.f64 beta 2) beta) -3))))
(/.f64 1 (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) -1) (+.f64 (pow.f64 (/.f64 (+.f64 beta 2) beta) -2) -1)))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (+.f64 beta 2) beta) -3)) (+.f64 (pow.f64 (/.f64 (+.f64 beta 2) beta) -2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (+.f64 beta 2) beta) -3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) beta) -2) (/.f64 beta (+.f64 beta 2)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 beta 2) beta) -2) -1) (+.f64 (/.f64 beta (+.f64 beta 2)) -1))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 (+.f64 beta 2) beta) -3))) (neg.f64 (+.f64 (pow.f64 (/.f64 (+.f64 beta 2) beta) -2) (-.f64 1 (/.f64 beta (+.f64 beta 2))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (+.f64 beta 2) beta) -2) -1)) (neg.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) -1)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 beta 2) beta) -2)) (-.f64 1 (/.f64 beta (+.f64 beta 2))))
(pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2))
(log.f64 (exp.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))))))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))
(exp.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))
(fma.f64 1 (/.f64 beta (+.f64 beta 2)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 1)
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 1)
(fma.f64 (/.f64 1 (+.f64 beta 2)) beta 1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 beta 2) beta))) 1)
(*.f64 1 (/.f64 (+.f64 beta 2) beta))
(*.f64 (+.f64 beta 2) (/.f64 1 beta))
(*.f64 (/.f64 (+.f64 beta 2) beta) 1)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (*.f64 (cbrt.f64 (+.f64 beta 2)) (/.f64 1 beta)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) beta)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) beta)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) beta)) 2) (cbrt.f64 (/.f64 (+.f64 beta 2) beta)))
(*.f64 (sqrt.f64 (+.f64 beta 2)) (*.f64 (sqrt.f64 (+.f64 beta 2)) (/.f64 1 beta)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 beta 2) beta)) (sqrt.f64 (/.f64 (+.f64 beta 2) beta)))
(*.f64 (+.f64 -2 (neg.f64 beta)) (/.f64 1 (neg.f64 beta)))
(*.f64 (/.f64 1 beta) (+.f64 beta 2))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (+.f64 beta 2) (cbrt.f64 beta)))
(*.f64 (/.f64 1 (sqrt.f64 beta)) (/.f64 (+.f64 beta 2) (sqrt.f64 beta)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) 1) (/.f64 (cbrt.f64 (+.f64 beta 2)) beta))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 (/.f64 (+.f64 beta 2) beta)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (sqrt.f64 beta)) (/.f64 (cbrt.f64 (+.f64 beta 2)) (sqrt.f64 beta)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta 2)) 1) (/.f64 (sqrt.f64 (+.f64 beta 2)) beta))
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta 2)) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (sqrt.f64 (+.f64 beta 2)) (cbrt.f64 beta)))
(pow.f64 (/.f64 (+.f64 beta 2) beta) 1)
(pow.f64 (/.f64 beta (+.f64 beta 2)) -1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) beta)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 beta 2) beta) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 beta 2) beta)) 2)
(neg.f64 (/.f64 (+.f64 beta 2) (neg.f64 beta)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 beta 2) beta) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 beta 2) beta)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 beta 2) beta))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 2) beta) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 beta 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 beta 2) beta)))
(exp.f64 (log.f64 (/.f64 (+.f64 beta 2) beta)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 beta 2) beta)) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 beta 2) beta)))

simplify143.0ms (1.9%)

Algorithm
egg-herbie
Rules
952×log-prod
840×fma-neg
770×exp-prod
474×fma-def
438×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
065811088
1162510601
2571710571
Stop Event
node limit
Counts
371 → 416
Calls
Call 1
Inputs
1
(+.f64 1 (/.f64 beta (+.f64 2 alpha)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 beta (+.f64 2 alpha))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (/.f64 beta (+.f64 2 alpha)) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3)))))
2
(+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)))
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))
2
(+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)))
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))
(+.f64 1 (/.f64 beta (+.f64 2 beta)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 2 beta) 2))) (/.f64 beta (+.f64 2 beta))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 2 beta) 2))) (+.f64 (/.f64 beta (+.f64 2 beta)) (/.f64 (*.f64 (pow.f64 alpha 2) beta) (pow.f64 (+.f64 2 beta) 3)))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 2 beta) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 alpha 3) beta) (pow.f64 (+.f64 2 beta) 4))) (+.f64 (/.f64 beta (+.f64 2 beta)) (/.f64 (*.f64 (pow.f64 alpha 2) beta) (pow.f64 (+.f64 2 beta) 3))))))
1
(+.f64 1 (/.f64 beta alpha))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))) (/.f64 beta alpha)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3)))))
1
(+.f64 1 (/.f64 beta alpha))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))) (/.f64 beta alpha)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3)))))
(+.f64 2 alpha)
(+.f64 2 (+.f64 alpha beta))
(+.f64 2 (+.f64 alpha beta))
(+.f64 2 (+.f64 alpha beta))
beta
(+.f64 2 (+.f64 alpha beta))
(+.f64 2 (+.f64 alpha beta))
(+.f64 2 (+.f64 alpha beta))
beta
(+.f64 2 (+.f64 alpha beta))
(+.f64 2 (+.f64 alpha beta))
(+.f64 2 (+.f64 alpha beta))
(+.f64 2 beta)
(+.f64 2 (+.f64 alpha beta))
(+.f64 2 (+.f64 alpha beta))
(+.f64 2 (+.f64 alpha beta))
alpha
(+.f64 2 (+.f64 alpha beta))
(+.f64 2 (+.f64 alpha beta))
(+.f64 2 (+.f64 alpha beta))
alpha
(+.f64 2 (+.f64 alpha beta))
(+.f64 2 (+.f64 alpha beta))
(+.f64 2 (+.f64 alpha beta))
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 -2 beta)
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
2
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
2
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(*.f64 1/2 beta)
(+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/2 beta))
(+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (+.f64 (*.f64 1/8 (pow.f64 beta 3)) (*.f64 1/2 beta)))
(+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (+.f64 (*.f64 -1/16 (pow.f64 beta 4)) (+.f64 (*.f64 1/8 (pow.f64 beta 3)) (*.f64 1/2 beta))))
1
(-.f64 1 (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 8 (/.f64 1 (pow.f64 beta 3)))))
1
(-.f64 1 (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 8 (/.f64 1 (pow.f64 beta 3)))))
1
(+.f64 1 (*.f64 1/2 beta))
(+.f64 1 (+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/2 beta)))
(+.f64 1 (+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (+.f64 (*.f64 1/8 (pow.f64 beta 3)) (*.f64 1/2 beta))))
2
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 8 (/.f64 1 (pow.f64 beta 3)))))
2
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 8 (/.f64 1 (pow.f64 beta 3)))))
(/.f64 2 beta)
(+.f64 1 (*.f64 2 (/.f64 1 beta)))
(+.f64 1 (*.f64 2 (/.f64 1 beta)))
(+.f64 1 (*.f64 2 (/.f64 1 beta)))
1
(+.f64 1 (*.f64 2 (/.f64 1 beta)))
(+.f64 1 (*.f64 2 (/.f64 1 beta)))
(+.f64 1 (*.f64 2 (/.f64 1 beta)))
1
(+.f64 1 (*.f64 2 (/.f64 1 beta)))
(+.f64 1 (*.f64 2 (/.f64 1 beta)))
(+.f64 1 (*.f64 2 (/.f64 1 beta)))
(+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1)
(+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))
(*.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1) 1)
(*.f64 1 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1))
(*.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1)) 2) (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1)) (sqrt.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1)))
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(log.f64 (exp.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))))))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))
(exp.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))
(fma.f64 1 (/.f64 beta (+.f64 beta 2)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 1)
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 1)
(fma.f64 (/.f64 1 (+.f64 beta 2)) beta 1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 beta 2) beta))) 1)
(*.f64 1 (/.f64 (+.f64 beta 2) beta))
(*.f64 (+.f64 beta 2) (/.f64 1 beta))
(*.f64 (/.f64 (+.f64 beta 2) beta) 1)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (*.f64 (cbrt.f64 (+.f64 beta 2)) (/.f64 1 beta)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) beta)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) beta)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) beta)) 2) (cbrt.f64 (/.f64 (+.f64 beta 2) beta)))
(*.f64 (sqrt.f64 (+.f64 beta 2)) (*.f64 (sqrt.f64 (+.f64 beta 2)) (/.f64 1 beta)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 beta 2) beta)) (sqrt.f64 (/.f64 (+.f64 beta 2) beta)))
(*.f64 (+.f64 -2 (neg.f64 beta)) (/.f64 1 (neg.f64 beta)))
(*.f64 (/.f64 1 beta) (+.f64 beta 2))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (+.f64 beta 2) (cbrt.f64 beta)))
(*.f64 (/.f64 1 (sqrt.f64 beta)) (/.f64 (+.f64 beta 2) (sqrt.f64 beta)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) 1) (/.f64 (cbrt.f64 (+.f64 beta 2)) beta))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 (/.f64 (+.f64 beta 2) beta)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (sqrt.f64 beta)) (/.f64 (cbrt.f64 (+.f64 beta 2)) (sqrt.f64 beta)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta 2)) 1) (/.f64 (sqrt.f64 (+.f64 beta 2)) beta))
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta 2)) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (sqrt.f64 (+.f64 beta 2)) (cbrt.f64 beta)))
(pow.f64 (/.f64 (+.f64 beta 2) beta) 1)
(pow.f64 (/.f64 beta (+.f64 beta 2)) -1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) beta)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 beta 2) beta) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 beta 2) beta)) 2)
(neg.f64 (/.f64 (+.f64 beta 2) (neg.f64 beta)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 beta 2) beta) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 beta 2) beta)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 beta 2) beta))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 2) beta) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 beta 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 beta 2) beta)))
(exp.f64 (log.f64 (/.f64 (+.f64 beta 2) beta)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 beta 2) beta)) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 beta 2) beta)))
Outputs
1
(+.f64 1 (/.f64 beta (+.f64 2 alpha)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 beta (+.f64 2 alpha))))
(+.f64 1 (fma.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2)) (/.f64 beta (+.f64 2 alpha))))
(+.f64 1 (-.f64 (/.f64 beta (+.f64 2 alpha)) (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (/.f64 beta (+.f64 2 alpha)) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3)))))
(+.f64 1 (+.f64 (fma.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2)) (/.f64 beta (+.f64 2 alpha))) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3))))
(+.f64 (-.f64 (/.f64 beta (+.f64 2 alpha)) (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3)) 1))
2
(+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)))
(+.f64 2 (neg.f64 (/.f64 (+.f64 2 alpha) beta)))
(-.f64 2 (/.f64 (+.f64 2 alpha) beta))
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(+.f64 2 (fma.f64 -1 (/.f64 (+.f64 2 alpha) beta) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(+.f64 2 (-.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)) (/.f64 (+.f64 2 alpha) beta)))
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))
(+.f64 2 (fma.f64 -1 (/.f64 (+.f64 2 alpha) beta) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))
(+.f64 (-.f64 2 (/.f64 (+.f64 2 alpha) beta)) (-.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))))
2
(+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)))
(+.f64 2 (neg.f64 (/.f64 (+.f64 2 alpha) beta)))
(-.f64 2 (/.f64 (+.f64 2 alpha) beta))
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(+.f64 2 (fma.f64 -1 (/.f64 (+.f64 2 alpha) beta) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(+.f64 2 (-.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)) (/.f64 (+.f64 2 alpha) beta)))
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))
(+.f64 2 (fma.f64 -1 (/.f64 (+.f64 2 alpha) beta) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))
(+.f64 (-.f64 2 (/.f64 (+.f64 2 alpha) beta)) (-.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))))
(+.f64 1 (/.f64 beta (+.f64 2 beta)))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 2 beta) 2))) (/.f64 beta (+.f64 2 beta))))
(+.f64 1 (fma.f64 -1 (/.f64 alpha (/.f64 (pow.f64 (+.f64 beta 2) 2) beta)) (/.f64 beta (+.f64 beta 2))))
(+.f64 1 (-.f64 (/.f64 beta (+.f64 beta 2)) (*.f64 (/.f64 alpha (pow.f64 (+.f64 beta 2) 2)) beta)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 2 beta) 2))) (+.f64 (/.f64 beta (+.f64 2 beta)) (/.f64 (*.f64 (pow.f64 alpha 2) beta) (pow.f64 (+.f64 2 beta) 3)))))
(+.f64 1 (+.f64 (fma.f64 -1 (/.f64 alpha (/.f64 (pow.f64 (+.f64 beta 2) 2) beta)) (/.f64 beta (+.f64 beta 2))) (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 beta 2) 3))))
(+.f64 (-.f64 (/.f64 beta (+.f64 beta 2)) (*.f64 (/.f64 alpha (pow.f64 (+.f64 beta 2) 2)) beta)) (+.f64 (*.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 3)) beta) 1))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 2 beta) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 alpha 3) beta) (pow.f64 (+.f64 2 beta) 4))) (+.f64 (/.f64 beta (+.f64 2 beta)) (/.f64 (*.f64 (pow.f64 alpha 2) beta) (pow.f64 (+.f64 2 beta) 3))))))
(+.f64 1 (fma.f64 -1 (/.f64 alpha (/.f64 (pow.f64 (+.f64 beta 2) 2) beta)) (fma.f64 -1 (/.f64 (pow.f64 alpha 3) (/.f64 (pow.f64 (+.f64 beta 2) 4) beta)) (+.f64 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (+.f64 beta 2))))))
(+.f64 (-.f64 (+.f64 (*.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 3)) beta) (/.f64 beta (+.f64 beta 2))) (*.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 4)) beta)) (-.f64 1 (*.f64 (/.f64 alpha (pow.f64 (+.f64 beta 2) 2)) beta)))
1
(+.f64 1 (/.f64 beta alpha))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))) (/.f64 beta alpha)))
(+.f64 1 (fma.f64 -1 (/.f64 beta (/.f64 (pow.f64 alpha 2) (+.f64 beta 2))) (/.f64 beta alpha)))
(+.f64 1 (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 (-.f64 -2 beta) beta) (pow.f64 alpha 2))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3)))))
(+.f64 1 (+.f64 (fma.f64 -1 (/.f64 beta (/.f64 (pow.f64 alpha 2) (+.f64 beta 2))) (/.f64 beta alpha)) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))
(+.f64 1 (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (*.f64 (-.f64 -2 beta) beta) (pow.f64 alpha 2)))))
1
(+.f64 1 (/.f64 beta alpha))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))) (/.f64 beta alpha)))
(+.f64 1 (fma.f64 -1 (/.f64 beta (/.f64 (pow.f64 alpha 2) (+.f64 beta 2))) (/.f64 beta alpha)))
(+.f64 1 (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 (-.f64 -2 beta) beta) (pow.f64 alpha 2))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3)))))
(+.f64 1 (+.f64 (fma.f64 -1 (/.f64 beta (/.f64 (pow.f64 alpha 2) (+.f64 beta 2))) (/.f64 beta alpha)) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))
(+.f64 1 (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (*.f64 (-.f64 -2 beta) beta) (pow.f64 alpha 2)))))
(+.f64 2 alpha)
(+.f64 2 (+.f64 alpha beta))
(+.f64 beta (+.f64 2 alpha))
(+.f64 alpha (+.f64 beta 2))
(+.f64 2 (+.f64 alpha beta))
(+.f64 beta (+.f64 2 alpha))
(+.f64 alpha (+.f64 beta 2))
(+.f64 2 (+.f64 alpha beta))
(+.f64 beta (+.f64 2 alpha))
(+.f64 alpha (+.f64 beta 2))
beta
(+.f64 2 (+.f64 alpha beta))
(+.f64 beta (+.f64 2 alpha))
(+.f64 alpha (+.f64 beta 2))
(+.f64 2 (+.f64 alpha beta))
(+.f64 beta (+.f64 2 alpha))
(+.f64 alpha (+.f64 beta 2))
(+.f64 2 (+.f64 alpha beta))
(+.f64 beta (+.f64 2 alpha))
(+.f64 alpha (+.f64 beta 2))
beta
(+.f64 2 (+.f64 alpha beta))
(+.f64 beta (+.f64 2 alpha))
(+.f64 alpha (+.f64 beta 2))
(+.f64 2 (+.f64 alpha beta))
(+.f64 beta (+.f64 2 alpha))
(+.f64 alpha (+.f64 beta 2))
(+.f64 2 (+.f64 alpha beta))
(+.f64 beta (+.f64 2 alpha))
(+.f64 alpha (+.f64 beta 2))
(+.f64 2 beta)
(+.f64 beta 2)
(+.f64 2 (+.f64 alpha beta))
(+.f64 beta (+.f64 2 alpha))
(+.f64 alpha (+.f64 beta 2))
(+.f64 2 (+.f64 alpha beta))
(+.f64 beta (+.f64 2 alpha))
(+.f64 alpha (+.f64 beta 2))
(+.f64 2 (+.f64 alpha beta))
(+.f64 beta (+.f64 2 alpha))
(+.f64 alpha (+.f64 beta 2))
alpha
(+.f64 2 (+.f64 alpha beta))
(+.f64 beta (+.f64 2 alpha))
(+.f64 alpha (+.f64 beta 2))
(+.f64 2 (+.f64 alpha beta))
(+.f64 beta (+.f64 2 alpha))
(+.f64 alpha (+.f64 beta 2))
(+.f64 2 (+.f64 alpha beta))
(+.f64 beta (+.f64 2 alpha))
(+.f64 alpha (+.f64 beta 2))
alpha
(+.f64 2 (+.f64 alpha beta))
(+.f64 beta (+.f64 2 alpha))
(+.f64 alpha (+.f64 beta 2))
(+.f64 2 (+.f64 alpha beta))
(+.f64 beta (+.f64 2 alpha))
(+.f64 alpha (+.f64 beta 2))
(+.f64 2 (+.f64 alpha beta))
(+.f64 beta (+.f64 2 alpha))
(+.f64 alpha (+.f64 beta 2))
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 -2 beta)
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(-.f64 2 (/.f64 2 beta))
(+.f64 2 (/.f64 -2 beta))
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(-.f64 2 (/.f64 2 beta))
(+.f64 2 (/.f64 -2 beta))
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(-.f64 2 (/.f64 2 beta))
(+.f64 2 (/.f64 -2 beta))
2
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(-.f64 2 (/.f64 2 beta))
(+.f64 2 (/.f64 -2 beta))
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(-.f64 2 (/.f64 2 beta))
(+.f64 2 (/.f64 -2 beta))
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(-.f64 2 (/.f64 2 beta))
(+.f64 2 (/.f64 -2 beta))
2
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(-.f64 2 (/.f64 2 beta))
(+.f64 2 (/.f64 -2 beta))
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(-.f64 2 (/.f64 2 beta))
(+.f64 2 (/.f64 -2 beta))
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(-.f64 2 (/.f64 2 beta))
(+.f64 2 (/.f64 -2 beta))
(*.f64 1/2 beta)
(*.f64 beta 1/2)
(+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/2 beta))
(fma.f64 -1/4 (pow.f64 beta 2) (*.f64 beta 1/2))
(fma.f64 beta 1/2 (*.f64 (pow.f64 beta 2) -1/4))
(+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (+.f64 (*.f64 1/8 (pow.f64 beta 3)) (*.f64 1/2 beta)))
(fma.f64 -1/4 (pow.f64 beta 2) (fma.f64 1/8 (pow.f64 beta 3) (*.f64 beta 1/2)))
(fma.f64 (pow.f64 beta 2) -1/4 (fma.f64 beta 1/2 (*.f64 (pow.f64 beta 3) 1/8)))
(+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (+.f64 (*.f64 -1/16 (pow.f64 beta 4)) (+.f64 (*.f64 1/8 (pow.f64 beta 3)) (*.f64 1/2 beta))))
(fma.f64 -1/4 (pow.f64 beta 2) (fma.f64 -1/16 (pow.f64 beta 4) (fma.f64 1/8 (pow.f64 beta 3) (*.f64 beta 1/2))))
(fma.f64 (pow.f64 beta 2) -1/4 (fma.f64 -1/16 (pow.f64 beta 4) (fma.f64 beta 1/2 (*.f64 (pow.f64 beta 3) 1/8))))
1
(-.f64 1 (*.f64 2 (/.f64 1 beta)))
(-.f64 1 (/.f64 2 beta))
(+.f64 1 (/.f64 -2 beta))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta)))
(+.f64 1 (-.f64 (/.f64 4 (pow.f64 beta 2)) (/.f64 2 beta)))
(+.f64 1 (+.f64 (/.f64 4 (pow.f64 beta 2)) (/.f64 -2 beta)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 8 (/.f64 1 (pow.f64 beta 3)))))
(-.f64 (+.f64 1 (-.f64 (/.f64 4 (pow.f64 beta 2)) (/.f64 2 beta))) (/.f64 8 (pow.f64 beta 3)))
(+.f64 1 (+.f64 (/.f64 4 (pow.f64 beta 2)) (+.f64 (/.f64 -2 beta) (pow.f64 (/.f64 -2 beta) 3))))
1
(-.f64 1 (*.f64 2 (/.f64 1 beta)))
(-.f64 1 (/.f64 2 beta))
(+.f64 1 (/.f64 -2 beta))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta)))
(+.f64 1 (-.f64 (/.f64 4 (pow.f64 beta 2)) (/.f64 2 beta)))
(+.f64 1 (+.f64 (/.f64 4 (pow.f64 beta 2)) (/.f64 -2 beta)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 8 (/.f64 1 (pow.f64 beta 3)))))
(-.f64 (+.f64 1 (-.f64 (/.f64 4 (pow.f64 beta 2)) (/.f64 2 beta))) (/.f64 8 (pow.f64 beta 3)))
(+.f64 1 (+.f64 (/.f64 4 (pow.f64 beta 2)) (+.f64 (/.f64 -2 beta) (pow.f64 (/.f64 -2 beta) 3))))
1
(+.f64 1 (*.f64 1/2 beta))
(+.f64 1 (*.f64 beta 1/2))
(fma.f64 beta 1/2 1)
(+.f64 1 (+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/2 beta)))
(+.f64 1 (fma.f64 -1/4 (pow.f64 beta 2) (*.f64 beta 1/2)))
(+.f64 (*.f64 (pow.f64 beta 2) -1/4) (fma.f64 beta 1/2 1))
(+.f64 1 (+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (+.f64 (*.f64 1/8 (pow.f64 beta 3)) (*.f64 1/2 beta))))
(+.f64 1 (fma.f64 -1/4 (pow.f64 beta 2) (fma.f64 1/8 (pow.f64 beta 3) (*.f64 beta 1/2))))
(+.f64 (fma.f64 (pow.f64 beta 2) -1/4 (*.f64 (pow.f64 beta 3) 1/8)) (fma.f64 beta 1/2 1))
2
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(-.f64 2 (/.f64 2 beta))
(+.f64 2 (/.f64 -2 beta))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta)))
(+.f64 2 (-.f64 (/.f64 4 (pow.f64 beta 2)) (/.f64 2 beta)))
(+.f64 2 (+.f64 (/.f64 4 (pow.f64 beta 2)) (/.f64 -2 beta)))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 8 (/.f64 1 (pow.f64 beta 3)))))
(-.f64 (+.f64 2 (/.f64 4 (pow.f64 beta 2))) (+.f64 (/.f64 2 beta) (/.f64 8 (pow.f64 beta 3))))
(+.f64 2 (+.f64 (/.f64 4 (pow.f64 beta 2)) (+.f64 (/.f64 -2 beta) (pow.f64 (/.f64 -2 beta) 3))))
2
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(-.f64 2 (/.f64 2 beta))
(+.f64 2 (/.f64 -2 beta))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta)))
(+.f64 2 (-.f64 (/.f64 4 (pow.f64 beta 2)) (/.f64 2 beta)))
(+.f64 2 (+.f64 (/.f64 4 (pow.f64 beta 2)) (/.f64 -2 beta)))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 8 (/.f64 1 (pow.f64 beta 3)))))
(-.f64 (+.f64 2 (/.f64 4 (pow.f64 beta 2))) (+.f64 (/.f64 2 beta) (/.f64 8 (pow.f64 beta 3))))
(+.f64 2 (+.f64 (/.f64 4 (pow.f64 beta 2)) (+.f64 (/.f64 -2 beta) (pow.f64 (/.f64 -2 beta) 3))))
(/.f64 2 beta)
(+.f64 1 (*.f64 2 (/.f64 1 beta)))
(+.f64 1 (/.f64 2 beta))
(+.f64 1 (*.f64 2 (/.f64 1 beta)))
(+.f64 1 (/.f64 2 beta))
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(*.f64 (+.f64 1 (pow.f64 (/.f64 (+.f64 beta 2) beta) -3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (+.f64 beta 2) beta) -2) (-.f64 1 (/.f64 beta (+.f64 beta 2))))))
(*.f64 (+.f64 1 (pow.f64 (/.f64 (+.f64 beta 2) beta) -3)) (/.f64 1 (-.f64 (+.f64 (pow.f64 (/.f64 (+.f64 beta 2) beta) -2) 1) (/.f64 beta (+.f64 beta 2)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1 (/.f64 2 beta)) -3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 1 (/.f64 2 beta)) -2) (/.f64 beta (+.f64 beta 2)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1 (/.f64 2 beta)) -3)) (-.f64 (pow.f64 (+.f64 1 (/.f64 2 beta)) -2) (expm1.f64 (neg.f64 (log1p.f64 (/.f64 2 beta))))))
(*.f64 (+.f64 (pow.f64 (/.f64 (+.f64 beta 2) beta) -2) -1) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1)))
(*.f64 (/.f64 1 (+.f64 -1 (/.f64 beta (+.f64 beta 2)))) (+.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) beta) -2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 2 beta)) -2)) (+.f64 -1 (/.f64 beta (+.f64 beta 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 2 beta)) -2)) (expm1.f64 (neg.f64 (log1p.f64 (/.f64 2 beta)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 beta 2) beta) -2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))) (+.f64 1 (pow.f64 (/.f64 (+.f64 beta 2) beta) -3))))
(*.f64 (+.f64 1 (pow.f64 (/.f64 (+.f64 beta 2) beta) -3)) (/.f64 1 (-.f64 (+.f64 (pow.f64 (/.f64 (+.f64 beta 2) beta) -2) 1) (/.f64 beta (+.f64 beta 2)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1 (/.f64 2 beta)) -3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 1 (/.f64 2 beta)) -2) (/.f64 beta (+.f64 beta 2)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1 (/.f64 2 beta)) -3)) (-.f64 (pow.f64 (+.f64 1 (/.f64 2 beta)) -2) (expm1.f64 (neg.f64 (log1p.f64 (/.f64 2 beta))))))
(/.f64 1 (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) -1) (+.f64 (pow.f64 (/.f64 (+.f64 beta 2) beta) -2) -1)))
(*.f64 (/.f64 1 (+.f64 -1 (/.f64 beta (+.f64 beta 2)))) (+.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) beta) -2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 2 beta)) -2)) (+.f64 -1 (/.f64 beta (+.f64 beta 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 2 beta)) -2)) (expm1.f64 (neg.f64 (log1p.f64 (/.f64 2 beta)))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (+.f64 beta 2) beta) -3)) (+.f64 (pow.f64 (/.f64 (+.f64 beta 2) beta) -2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))))
(*.f64 (+.f64 1 (pow.f64 (/.f64 (+.f64 beta 2) beta) -3)) (/.f64 1 (-.f64 (+.f64 (pow.f64 (/.f64 (+.f64 beta 2) beta) -2) 1) (/.f64 beta (+.f64 beta 2)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1 (/.f64 2 beta)) -3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 1 (/.f64 2 beta)) -2) (/.f64 beta (+.f64 beta 2)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1 (/.f64 2 beta)) -3)) (-.f64 (pow.f64 (+.f64 1 (/.f64 2 beta)) -2) (expm1.f64 (neg.f64 (log1p.f64 (/.f64 2 beta))))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (+.f64 beta 2) beta) -3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) beta) -2) (/.f64 beta (+.f64 beta 2)))))
(*.f64 (+.f64 1 (pow.f64 (/.f64 (+.f64 beta 2) beta) -3)) (/.f64 1 (-.f64 (+.f64 (pow.f64 (/.f64 (+.f64 beta 2) beta) -2) 1) (/.f64 beta (+.f64 beta 2)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1 (/.f64 2 beta)) -3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 1 (/.f64 2 beta)) -2) (/.f64 beta (+.f64 beta 2)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1 (/.f64 2 beta)) -3)) (-.f64 (pow.f64 (+.f64 1 (/.f64 2 beta)) -2) (expm1.f64 (neg.f64 (log1p.f64 (/.f64 2 beta))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 beta 2) beta) -2) -1) (+.f64 (/.f64 beta (+.f64 beta 2)) -1))
(*.f64 (/.f64 1 (+.f64 -1 (/.f64 beta (+.f64 beta 2)))) (+.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) beta) -2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 2 beta)) -2)) (+.f64 -1 (/.f64 beta (+.f64 beta 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 2 beta)) -2)) (expm1.f64 (neg.f64 (log1p.f64 (/.f64 2 beta)))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 (+.f64 beta 2) beta) -3))) (neg.f64 (+.f64 (pow.f64 (/.f64 (+.f64 beta 2) beta) -2) (-.f64 1 (/.f64 beta (+.f64 beta 2))))))
(/.f64 (+.f64 -1 (neg.f64 (pow.f64 (/.f64 (+.f64 beta 2) beta) -3))) (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 (+.f64 beta 2) beta) -2) 1) (/.f64 beta (+.f64 beta 2)))))
(/.f64 (-.f64 -1 (pow.f64 (+.f64 1 (/.f64 2 beta)) -3)) (-.f64 (neg.f64 (pow.f64 (+.f64 1 (/.f64 2 beta)) -2)) (-.f64 1 (/.f64 beta (+.f64 beta 2)))))
(/.f64 (-.f64 -1 (pow.f64 (+.f64 1 (/.f64 2 beta)) -3)) (neg.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 2 beta)) -2) (expm1.f64 (neg.f64 (log1p.f64 (/.f64 2 beta)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (+.f64 beta 2) beta) -2) -1)) (neg.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) -1)))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) beta) -2))) (neg.f64 (+.f64 -1 (/.f64 beta (+.f64 beta 2)))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (/.f64 2 beta)) -2)) (-.f64 1 (/.f64 beta (+.f64 beta 2))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 beta 2) beta) -2)) (-.f64 1 (/.f64 beta (+.f64 beta 2))))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) beta) -2))) (neg.f64 (+.f64 -1 (/.f64 beta (+.f64 beta 2)))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (/.f64 2 beta)) -2)) (-.f64 1 (/.f64 beta (+.f64 beta 2))))
(pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 1)
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) 3)
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(pow.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 3) 1/3)
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) 2)
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2))
(fabs.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))))
(log.f64 (exp.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))))))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 3))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(exp.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))) 1))
(exp.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(fma.f64 1 (/.f64 beta (+.f64 beta 2)) 1)
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 1)
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 1)
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(fma.f64 (/.f64 1 (+.f64 beta 2)) beta 1)
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 beta 2) beta))) 1)
(+.f64 1 (/.f64 2 beta))
(*.f64 1 (/.f64 (+.f64 beta 2) beta))
(+.f64 1 (/.f64 2 beta))
(*.f64 (+.f64 beta 2) (/.f64 1 beta))
(+.f64 1 (/.f64 2 beta))
(*.f64 (/.f64 (+.f64 beta 2) beta) 1)
(+.f64 1 (/.f64 2 beta))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (*.f64 (cbrt.f64 (+.f64 beta 2)) (/.f64 1 beta)))
(+.f64 1 (/.f64 2 beta))
(*.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) beta)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) beta)) 2))
(+.f64 1 (/.f64 2 beta))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) beta)) 2) (cbrt.f64 (/.f64 (+.f64 beta 2) beta)))
(+.f64 1 (/.f64 2 beta))
(*.f64 (sqrt.f64 (+.f64 beta 2)) (*.f64 (sqrt.f64 (+.f64 beta 2)) (/.f64 1 beta)))
(+.f64 1 (/.f64 2 beta))
(*.f64 (sqrt.f64 (/.f64 (+.f64 beta 2) beta)) (sqrt.f64 (/.f64 (+.f64 beta 2) beta)))
(+.f64 1 (/.f64 2 beta))
(*.f64 (+.f64 -2 (neg.f64 beta)) (/.f64 1 (neg.f64 beta)))
(/.f64 (*.f64 (-.f64 -2 beta) 1) (neg.f64 beta))
(/.f64 (-.f64 -2 beta) (neg.f64 beta))
(*.f64 (/.f64 1 beta) (+.f64 beta 2))
(+.f64 1 (/.f64 2 beta))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (+.f64 beta 2) (cbrt.f64 beta)))
(+.f64 1 (/.f64 2 beta))
(*.f64 (/.f64 1 (sqrt.f64 beta)) (/.f64 (+.f64 beta 2) (sqrt.f64 beta)))
(+.f64 1 (/.f64 2 beta))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) 1) (/.f64 (cbrt.f64 (+.f64 beta 2)) beta))
(+.f64 1 (/.f64 2 beta))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 (/.f64 (+.f64 beta 2) beta)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) beta)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (pow.f64 (cbrt.f64 beta) 2)))
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 2 beta))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (pow.f64 (cbrt.f64 beta) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (sqrt.f64 beta)) (/.f64 (cbrt.f64 (+.f64 beta 2)) (sqrt.f64 beta)))
(+.f64 1 (/.f64 2 beta))
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta 2)) 1) (/.f64 (sqrt.f64 (+.f64 beta 2)) beta))
(+.f64 1 (/.f64 2 beta))
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta 2)) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (sqrt.f64 (+.f64 beta 2)) (cbrt.f64 beta)))
(+.f64 1 (/.f64 2 beta))
(pow.f64 (/.f64 (+.f64 beta 2) beta) 1)
(+.f64 1 (/.f64 2 beta))
(pow.f64 (/.f64 beta (+.f64 beta 2)) -1)
(+.f64 1 (/.f64 2 beta))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) beta)) 3)
(+.f64 1 (/.f64 2 beta))
(pow.f64 (pow.f64 (/.f64 (+.f64 beta 2) beta) 3) 1/3)
(+.f64 1 (/.f64 2 beta))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 beta 2) beta)) 2)
(+.f64 1 (/.f64 2 beta))
(neg.f64 (/.f64 (+.f64 beta 2) (neg.f64 beta)))
(/.f64 (*.f64 (-.f64 -2 beta) 1) (neg.f64 beta))
(/.f64 (-.f64 -2 beta) (neg.f64 beta))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 beta 2) beta) 2))
(fabs.f64 (+.f64 1 (/.f64 2 beta)))
(log.f64 (exp.f64 (/.f64 (+.f64 beta 2) beta)))
(+.f64 1 (/.f64 2 beta))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 beta 2) beta))))
(+.f64 1 (/.f64 2 beta))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 2) beta) 3))
(+.f64 1 (/.f64 2 beta))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 beta 3)))
(+.f64 1 (/.f64 2 beta))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 beta 2) beta)))
(+.f64 1 (/.f64 2 beta))
(exp.f64 (log.f64 (/.f64 (+.f64 beta 2) beta)))
(+.f64 1 (/.f64 2 beta))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 beta 2) beta)) 1))
(+.f64 1 (/.f64 2 beta))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 beta 2) beta)))
(+.f64 1 (/.f64 2 beta))

eval232.0ms (3.1%)

Compiler

Compiled 8852 to 6783 computations (23.4% saved)

prune114.0ms (1.5%)

Pruning

19 alts after pruning (12 fresh and 7 done)

PrunedKeptTotal
New5035508
Fresh077
Picked145
Done033
Total50419523
Accuracy
100.0%
Counts
523 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
31.8%
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 beta) alpha)) 2)
71.2%
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) -1) 2)
48.0%
(/.f64 (-.f64 (/.f64 beta (+.f64 alpha 2)) -1) 2)
47.2%
(/.f64 (-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha beta)) 2)
30.3%
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)) (-.f64 (-.f64 -2 beta) beta)) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 2)
26.0%
(/.f64 (-.f64 2 (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta)) 2)
26.0%
(/.f64 (-.f64 2 (/.f64 (+.f64 2 alpha) beta)) 2)
26.4%
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
50.7%
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
72.1%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
71.2%
(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
71.2%
(/.f64 (+.f64 (/.f64 1 (/.f64 (+.f64 2 beta) beta)) 1) 2)
47.8%
(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
11.1%
(/.f64 beta alpha)
33.5%
(/.f64 2 2)
24.7%
(/.f64 1 alpha)
51.0%
(/.f64 1 2)
31.8%
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
11.0%
(*.f64 (/.f64 1 alpha) beta)
31.8%
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 beta) alpha)) 2)
71.2%
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) -1) 2)
48.0%
(/.f64 (-.f64 (/.f64 beta (+.f64 alpha 2)) -1) 2)
47.2%
(/.f64 (-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha beta)) 2)
30.3%
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)) (-.f64 (-.f64 -2 beta) beta)) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 2)
26.0%
(/.f64 (-.f64 2 (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta)) 2)
26.0%
(/.f64 (-.f64 2 (/.f64 (+.f64 2 alpha) beta)) 2)
26.4%
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
50.7%
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
72.1%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
71.2%
(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
71.2%
(/.f64 (+.f64 (/.f64 1 (/.f64 (+.f64 2 beta) beta)) 1) 2)
47.8%
(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
11.1%
(/.f64 beta alpha)
33.5%
(/.f64 2 2)
24.7%
(/.f64 1 alpha)
51.0%
(/.f64 1 2)
31.8%
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
11.0%
(*.f64 (/.f64 1 alpha) beta)
Compiler

Compiled 702 to 540 computations (23.1% saved)

localize133.0ms (1.8%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
100.0%
(/.f64 beta (+.f64 alpha 2))
100.0%
(/.f64 alpha (+.f64 alpha 2))
68.0%
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
100.0%
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
Compiler

Compiled 84 to 53 computations (36.9% saved)

series7.0ms (0.1%)

Counts
4 → 72
Calls

18 calls:

TimeVariablePointExpression
2.0ms
alpha
@0
(/.f64 alpha (+.f64 alpha 2))
1.0ms
alpha
@inf
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
1.0ms
beta
@inf
(/.f64 beta (+.f64 alpha 2))
0.0ms
beta
@-inf
(/.f64 beta (+.f64 alpha 2))
0.0ms
beta
@0
(/.f64 beta (+.f64 alpha 2))

rewrite104.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
1038×fma-def
945×log1p-expm1-u
944×expm1-log1p-u
430×expm1-udef
428×log1p-udef
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01691
124688
2386488
Stop Event
node limit
Counts
4 → 183
Calls
Call 1
Inputs
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(/.f64 alpha (+.f64 alpha 2))
(/.f64 beta (+.f64 alpha 2))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 1 alpha) (+.f64 1 beta)))) 1)
(-.f64 (/.f64 (pow.f64 (/.f64 beta alpha) 2) (/.f64 (-.f64 beta 1) alpha)) (/.f64 (pow.f64 alpha -2) (/.f64 (-.f64 beta 1) alpha)))
(*.f64 1 (*.f64 (/.f64 1 alpha) (+.f64 1 beta)))
(*.f64 (/.f64 1 alpha) (+.f64 1 beta))
(*.f64 (/.f64 1 alpha) (+.f64 beta 1))
(*.f64 (*.f64 (/.f64 1 alpha) (+.f64 1 beta)) 1)
(*.f64 (cbrt.f64 (*.f64 (/.f64 1 alpha) (+.f64 1 beta))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 1 alpha) (+.f64 1 beta))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 1 alpha) (+.f64 1 beta))) 2) (cbrt.f64 (*.f64 (/.f64 1 alpha) (+.f64 1 beta))))
(*.f64 (sqrt.f64 (*.f64 (/.f64 1 alpha) (+.f64 1 beta))) (sqrt.f64 (*.f64 (/.f64 1 alpha) (+.f64 1 beta))))
(*.f64 (fma.f64 beta alpha alpha) (pow.f64 alpha -2))
(*.f64 (+.f64 (pow.f64 (/.f64 beta alpha) 3) (pow.f64 alpha -3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 beta alpha) 2) (-.f64 (pow.f64 alpha -2) (*.f64 beta (pow.f64 alpha -2))))))
(*.f64 (-.f64 (pow.f64 (/.f64 beta alpha) 2) (pow.f64 alpha -2)) (/.f64 1 (/.f64 (-.f64 beta 1) alpha)))
(*.f64 (+.f64 beta 1) (/.f64 1 alpha))
(/.f64 1 (/.f64 (pow.f64 alpha 2) (fma.f64 beta alpha alpha)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 beta alpha) 2) (-.f64 (pow.f64 alpha -2) (*.f64 beta (pow.f64 alpha -2)))) (+.f64 (pow.f64 (/.f64 beta alpha) 3) (pow.f64 alpha -3))))
(/.f64 1 (/.f64 (/.f64 (-.f64 beta 1) alpha) (-.f64 (pow.f64 (/.f64 beta alpha) 2) (pow.f64 alpha -2))))
(/.f64 (fma.f64 beta alpha alpha) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (/.f64 beta alpha) 3) (pow.f64 alpha -3)) (+.f64 (pow.f64 (/.f64 beta alpha) 2) (-.f64 (pow.f64 alpha -2) (*.f64 beta (pow.f64 alpha -2)))))
(/.f64 (+.f64 (pow.f64 (/.f64 beta alpha) 3) (pow.f64 alpha -3)) (+.f64 (pow.f64 alpha -2) (-.f64 (pow.f64 (/.f64 beta alpha) 2) (*.f64 beta (pow.f64 alpha -2)))))
(/.f64 (-.f64 (pow.f64 (/.f64 beta alpha) 2) (pow.f64 alpha -2)) (/.f64 (-.f64 beta 1) alpha))
(/.f64 (fma.f64 beta (neg.f64 alpha) (*.f64 alpha -1)) (*.f64 alpha (neg.f64 alpha)))
(/.f64 (+.f64 alpha (*.f64 (/.f64 alpha beta) 1)) (*.f64 (/.f64 alpha beta) alpha))
(/.f64 (fma.f64 -1 alpha (*.f64 (/.f64 alpha beta) -1)) (*.f64 (/.f64 alpha beta) (neg.f64 alpha)))
(/.f64 (fma.f64 (neg.f64 beta) alpha (*.f64 (neg.f64 alpha) 1)) (*.f64 (neg.f64 alpha) alpha))
(/.f64 (fma.f64 (neg.f64 beta) (neg.f64 alpha) (*.f64 (neg.f64 alpha) -1)) (*.f64 (neg.f64 alpha) (neg.f64 alpha)))
(/.f64 (+.f64 (/.f64 alpha beta) alpha) (*.f64 alpha (/.f64 alpha beta)))
(/.f64 (fma.f64 -1 alpha (*.f64 alpha (neg.f64 beta))) (*.f64 alpha (neg.f64 alpha)))
(/.f64 (fma.f64 -1 alpha (*.f64 (neg.f64 alpha) beta)) (*.f64 (neg.f64 alpha) alpha))
(/.f64 (fma.f64 -1 (/.f64 alpha beta) (*.f64 (neg.f64 alpha) 1)) (*.f64 (neg.f64 alpha) (/.f64 alpha beta)))
(/.f64 (fma.f64 -1 (neg.f64 alpha) (*.f64 (neg.f64 alpha) (neg.f64 beta))) (*.f64 (neg.f64 alpha) (neg.f64 alpha)))
(/.f64 (neg.f64 (fma.f64 beta alpha alpha)) (neg.f64 (pow.f64 alpha 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 beta alpha) 3) (pow.f64 alpha -3))) (neg.f64 (+.f64 (pow.f64 (/.f64 beta alpha) 2) (-.f64 (pow.f64 alpha -2) (*.f64 beta (pow.f64 alpha -2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 beta alpha) 2) (pow.f64 alpha -2))) (neg.f64 (/.f64 (-.f64 beta 1) alpha)))
(/.f64 (-.f64 (pow.f64 alpha -2) (pow.f64 (/.f64 beta alpha) 2)) (-.f64 (/.f64 1 alpha) (/.f64 beta alpha)))
(/.f64 (/.f64 (fma.f64 beta alpha alpha) alpha) alpha)
(pow.f64 (*.f64 (/.f64 1 alpha) (+.f64 1 beta)) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 1 alpha) (+.f64 1 beta))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 1 alpha) (+.f64 1 beta)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 1 alpha) (+.f64 1 beta))) 2)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 1 alpha) (+.f64 1 beta)) 2))
(log.f64 (exp.f64 (*.f64 (/.f64 1 alpha) (+.f64 1 beta))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 1 alpha) (+.f64 1 beta)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 1 alpha) (+.f64 1 beta)) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 1 alpha) (+.f64 1 beta))))
(exp.f64 (log.f64 (*.f64 (/.f64 1 alpha) (+.f64 1 beta))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 1 alpha) (+.f64 1 beta))) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 1 alpha) (+.f64 1 beta))))
(fma.f64 beta (/.f64 1 alpha) (/.f64 1 alpha))
(fma.f64 (/.f64 beta alpha) 1 (/.f64 1 alpha))
(fma.f64 1 (/.f64 beta alpha) (/.f64 1 alpha))
(fma.f64 1 (/.f64 1 alpha) (/.f64 beta alpha))
(fma.f64 (/.f64 1 alpha) beta (/.f64 1 alpha))
(fma.f64 (/.f64 1 alpha) 1 (/.f64 beta alpha))
(fma.f64 -1 (/.f64 1 (neg.f64 alpha)) (/.f64 beta alpha))
(fma.f64 (pow.f64 (cbrt.f64 beta) 2) (*.f64 (cbrt.f64 beta) (/.f64 1 alpha)) (/.f64 1 alpha))
(fma.f64 (cbrt.f64 (/.f64 beta alpha)) (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2) (/.f64 1 alpha))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2) (cbrt.f64 (/.f64 beta alpha)) (/.f64 1 alpha))
(fma.f64 (/.f64 1 (cbrt.f64 alpha)) (cbrt.f64 (pow.f64 alpha -2)) (/.f64 beta alpha))
(fma.f64 (cbrt.f64 (pow.f64 alpha -2)) (/.f64 1 (cbrt.f64 alpha)) (/.f64 beta alpha))
(fma.f64 (sqrt.f64 beta) (*.f64 (sqrt.f64 beta) (/.f64 1 alpha)) (/.f64 1 alpha))
(fma.f64 (sqrt.f64 (/.f64 beta alpha)) (sqrt.f64 (/.f64 beta alpha)) (/.f64 1 alpha))
(fma.f64 (pow.f64 alpha -1/2) (pow.f64 alpha -1/2) (/.f64 beta alpha))
(fma.f64 (pow.f64 alpha -1/2) (/.f64 beta (sqrt.f64 alpha)) (/.f64 1 alpha))
(fma.f64 (neg.f64 beta) (/.f64 1 (neg.f64 alpha)) (/.f64 1 alpha))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 alpha) 2) -1) (pow.f64 (cbrt.f64 alpha) -1) (/.f64 beta alpha))
(fma.f64 (pow.f64 (sqrt.f64 alpha) -1) (pow.f64 (sqrt.f64 alpha) -1) (/.f64 beta alpha))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 beta (cbrt.f64 alpha)) (/.f64 1 alpha))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) alpha) (/.f64 1 alpha))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 beta alpha)) (/.f64 1 alpha))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 beta) (sqrt.f64 alpha)) (/.f64 1 alpha))
(fma.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) alpha) (/.f64 1 alpha))
(fma.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 alpha)) (/.f64 1 alpha))
(fma.f64 (*.f64 beta (cbrt.f64 (pow.f64 alpha -2))) (/.f64 1 (cbrt.f64 alpha)) (/.f64 1 alpha))
(fma.f64 (*.f64 beta (pow.f64 alpha -1/2)) (pow.f64 alpha -1/2) (/.f64 1 alpha))
(+.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))
(+.f64 1 (*.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) 1))
(+.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) 1)
(*.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1)
(*.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2) (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(*.f64 (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (/.f64 1 (fma.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1)))
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(/.f64 1 (/.f64 (fma.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))))
(/.f64 1 (/.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (fma.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (neg.f64 (fma.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (neg.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) 3)) (+.f64 1 (-.f64 (*.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))))
(/.f64 (-.f64 1 (*.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (-.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))
(pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1)
(pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 3)
(pow.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2)
(sqrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2))
(log.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))))
(cbrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3))
(expm1.f64 (log1p.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(exp.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) 1))
(log1p.f64 (expm1.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(fma.f64 alpha (neg.f64 (/.f64 1 (+.f64 alpha 2))) 1)
(fma.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) 1)
(fma.f64 -1 (/.f64 alpha (+.f64 alpha 2)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2) (neg.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2)))) 1)
(fma.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))) (neg.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha 2)))) 1)
(fma.f64 (neg.f64 alpha) (/.f64 1 (+.f64 alpha 2)) 1)
(fma.f64 (*.f64 (cbrt.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) (cbrt.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (cbrt.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) 1)
(fma.f64 (sqrt.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) (sqrt.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) 1)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2)) (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 1)
(fma.f64 (neg.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha 2)))) (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))) 1)
(-.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1)
(*.f64 alpha (/.f64 1 (+.f64 alpha 2)))
(*.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(*.f64 (/.f64 alpha (+.f64 alpha 2)) 1)
(*.f64 (pow.f64 (cbrt.f64 alpha) 2) (*.f64 (cbrt.f64 alpha) (/.f64 1 (+.f64 alpha 2))))
(*.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2) (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))))
(*.f64 (sqrt.f64 alpha) (*.f64 (sqrt.f64 alpha) (/.f64 1 (+.f64 alpha 2))))
(*.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))) (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))))
(*.f64 (neg.f64 alpha) (/.f64 1 (fma.f64 -1 alpha -2)))
(*.f64 (/.f64 1 (+.f64 alpha 2)) alpha)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (/.f64 alpha (cbrt.f64 (+.f64 alpha 2))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha 2))) (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) 1) (/.f64 (cbrt.f64 alpha) (+.f64 alpha 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (+.f64 alpha 2))) (/.f64 (cbrt.f64 alpha) (sqrt.f64 (+.f64 alpha 2))))
(*.f64 (/.f64 (sqrt.f64 alpha) 1) (/.f64 (sqrt.f64 alpha) (+.f64 alpha 2)))
(*.f64 (/.f64 (sqrt.f64 alpha) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (/.f64 (sqrt.f64 alpha) (cbrt.f64 (+.f64 alpha 2))))
(*.f64 (/.f64 alpha (+.f64 (pow.f64 alpha 3) 8)) (-.f64 (fma.f64 alpha alpha 4) (*.f64 alpha 2)))
(*.f64 (/.f64 alpha (fma.f64 alpha alpha -4)) (+.f64 alpha -2))
(pow.f64 (/.f64 alpha (+.f64 alpha 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 3)
(pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2)
(pow.f64 (/.f64 (+.f64 alpha 2) alpha) -1)
(neg.f64 (/.f64 alpha (fma.f64 -1 alpha -2)))
(sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))
(log.f64 (exp.f64 (/.f64 alpha (+.f64 alpha 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 alpha (+.f64 alpha 2)))))
(cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))
(expm1.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha 2))))
(exp.f64 (log.f64 (/.f64 alpha (+.f64 alpha 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 alpha (+.f64 alpha 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 alpha (+.f64 alpha 2))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 beta (+.f64 alpha 2)))) 1)
(*.f64 beta (/.f64 1 (+.f64 alpha 2)))
(*.f64 1 (/.f64 beta (+.f64 alpha 2)))
(*.f64 (/.f64 beta (+.f64 alpha 2)) 1)
(*.f64 (pow.f64 (cbrt.f64 beta) 2) (*.f64 (cbrt.f64 beta) (/.f64 1 (+.f64 alpha 2))))
(*.f64 (cbrt.f64 (/.f64 beta (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 alpha 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 alpha 2))) 2) (cbrt.f64 (/.f64 beta (+.f64 alpha 2))))
(*.f64 (sqrt.f64 beta) (*.f64 (sqrt.f64 beta) (/.f64 1 (+.f64 alpha 2))))
(*.f64 (sqrt.f64 (/.f64 beta (+.f64 alpha 2))) (sqrt.f64 (/.f64 beta (+.f64 alpha 2))))
(*.f64 (neg.f64 beta) (/.f64 1 (fma.f64 -1 alpha -2)))
(*.f64 (/.f64 1 (+.f64 alpha 2)) beta)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (/.f64 beta (cbrt.f64 (+.f64 alpha 2))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha 2))) (/.f64 beta (sqrt.f64 (+.f64 alpha 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (+.f64 alpha 2)))
(*.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 alpha 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (/.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 alpha 2))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 alpha 2))))
(*.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 alpha 2))))
(*.f64 (/.f64 beta (+.f64 (pow.f64 alpha 3) 8)) (-.f64 (fma.f64 alpha alpha 4) (*.f64 alpha 2)))
(*.f64 (/.f64 beta (fma.f64 alpha alpha -4)) (+.f64 alpha -2))
(pow.f64 (/.f64 beta (+.f64 alpha 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 beta (+.f64 alpha 2))) 3)
(pow.f64 (pow.f64 (/.f64 beta (+.f64 alpha 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 beta (+.f64 alpha 2))) 2)
(pow.f64 (/.f64 (+.f64 alpha 2) beta) -1)
(neg.f64 (/.f64 beta (fma.f64 -1 alpha -2)))
(sqrt.f64 (pow.f64 (/.f64 beta (+.f64 alpha 2)) 2))
(log.f64 (exp.f64 (/.f64 beta (+.f64 alpha 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 beta (+.f64 alpha 2)))))
(cbrt.f64 (pow.f64 (/.f64 beta (+.f64 alpha 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 beta (+.f64 alpha 2))))
(exp.f64 (log.f64 (/.f64 beta (+.f64 alpha 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 beta (+.f64 alpha 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 beta (+.f64 alpha 2))))

simplify113.0ms (1.5%)

Algorithm
egg-herbie
Rules
724×cancel-sign-sub-inv
500×log-prod
488×fma-neg
428×distribute-lft-neg-in
410×div-sub
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05019034
112778147
240827919
Stop Event
node limit
Counts
255 → 308
Calls
Call 1
Inputs
(/.f64 1 alpha)
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 beta alpha)
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 beta alpha)
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 (+.f64 1 beta) alpha)
(/.f64 (+.f64 1 beta) alpha)
(/.f64 (+.f64 1 beta) alpha)
(/.f64 (+.f64 1 beta) alpha)
(/.f64 (+.f64 1 beta) alpha)
(/.f64 (+.f64 1 beta) alpha)
(/.f64 (+.f64 1 beta) alpha)
(/.f64 (+.f64 1 beta) alpha)
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) 1) alpha))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) 1) alpha))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) 1) alpha))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) 1) alpha))
1
(+.f64 1 (*.f64 -1/2 alpha))
(+.f64 1 (+.f64 (*.f64 -1/2 alpha) (*.f64 1/4 (pow.f64 alpha 2))))
(+.f64 1 (+.f64 (*.f64 -1/2 alpha) (+.f64 (*.f64 -1/8 (pow.f64 alpha 3)) (*.f64 1/4 (pow.f64 alpha 2)))))
(/.f64 2 alpha)
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (*.f64 16 (/.f64 1 (pow.f64 alpha 4)))))
(/.f64 2 alpha)
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (*.f64 16 (/.f64 1 (pow.f64 alpha 4)))))
(*.f64 1/2 alpha)
(+.f64 (*.f64 -1/4 (pow.f64 alpha 2)) (*.f64 1/2 alpha))
(+.f64 (*.f64 -1/4 (pow.f64 alpha 2)) (+.f64 (*.f64 1/8 (pow.f64 alpha 3)) (*.f64 1/2 alpha)))
(+.f64 (*.f64 -1/4 (pow.f64 alpha 2)) (+.f64 (*.f64 -1/16 (pow.f64 alpha 4)) (+.f64 (*.f64 1/8 (pow.f64 alpha 3)) (*.f64 1/2 alpha))))
1
(-.f64 1 (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 8 (/.f64 1 (pow.f64 alpha 3)))))
1
(-.f64 1 (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 8 (/.f64 1 (pow.f64 alpha 3)))))
(/.f64 beta (+.f64 2 alpha))
(/.f64 beta (+.f64 2 alpha))
(/.f64 beta (+.f64 2 alpha))
(/.f64 beta (+.f64 2 alpha))
(/.f64 beta (+.f64 2 alpha))
(/.f64 beta (+.f64 2 alpha))
(/.f64 beta (+.f64 2 alpha))
(/.f64 beta (+.f64 2 alpha))
(/.f64 beta (+.f64 2 alpha))
(/.f64 beta (+.f64 2 alpha))
(/.f64 beta (+.f64 2 alpha))
(/.f64 beta (+.f64 2 alpha))
(*.f64 1/2 beta)
(+.f64 (*.f64 -1/4 (*.f64 alpha beta)) (*.f64 1/2 beta))
(+.f64 (*.f64 -1/4 (*.f64 alpha beta)) (+.f64 (*.f64 1/8 (*.f64 (pow.f64 alpha 2) beta)) (*.f64 1/2 beta)))
(+.f64 (*.f64 -1/4 (*.f64 alpha beta)) (+.f64 (*.f64 -1/16 (*.f64 (pow.f64 alpha 3) beta)) (+.f64 (*.f64 1/8 (*.f64 (pow.f64 alpha 2) beta)) (*.f64 1/2 beta))))
(/.f64 beta alpha)
(+.f64 (*.f64 -2 (/.f64 beta (pow.f64 alpha 2))) (/.f64 beta alpha))
(+.f64 (*.f64 -2 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (*.f64 4 (/.f64 beta (pow.f64 alpha 3))) (/.f64 beta alpha)))
(+.f64 (*.f64 -8 (/.f64 beta (pow.f64 alpha 4))) (+.f64 (*.f64 -2 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (*.f64 4 (/.f64 beta (pow.f64 alpha 3))) (/.f64 beta alpha))))
(/.f64 beta alpha)
(+.f64 (*.f64 -2 (/.f64 beta (pow.f64 alpha 2))) (/.f64 beta alpha))
(+.f64 (*.f64 -2 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (*.f64 4 (/.f64 beta (pow.f64 alpha 3))) (/.f64 beta alpha)))
(+.f64 (*.f64 -8 (/.f64 beta (pow.f64 alpha 4))) (+.f64 (*.f64 -2 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (*.f64 4 (/.f64 beta (pow.f64 alpha 3))) (/.f64 beta alpha))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 1 alpha) (+.f64 1 beta)))) 1)
(-.f64 (/.f64 (pow.f64 (/.f64 beta alpha) 2) (/.f64 (-.f64 beta 1) alpha)) (/.f64 (pow.f64 alpha -2) (/.f64 (-.f64 beta 1) alpha)))
(*.f64 1 (*.f64 (/.f64 1 alpha) (+.f64 1 beta)))
(*.f64 (/.f64 1 alpha) (+.f64 1 beta))
(*.f64 (/.f64 1 alpha) (+.f64 beta 1))
(*.f64 (*.f64 (/.f64 1 alpha) (+.f64 1 beta)) 1)
(*.f64 (cbrt.f64 (*.f64 (/.f64 1 alpha) (+.f64 1 beta))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 1 alpha) (+.f64 1 beta))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 1 alpha) (+.f64 1 beta))) 2) (cbrt.f64 (*.f64 (/.f64 1 alpha) (+.f64 1 beta))))
(*.f64 (sqrt.f64 (*.f64 (/.f64 1 alpha) (+.f64 1 beta))) (sqrt.f64 (*.f64 (/.f64 1 alpha) (+.f64 1 beta))))
(*.f64 (fma.f64 beta alpha alpha) (pow.f64 alpha -2))
(*.f64 (+.f64 (pow.f64 (/.f64 beta alpha) 3) (pow.f64 alpha -3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 beta alpha) 2) (-.f64 (pow.f64 alpha -2) (*.f64 beta (pow.f64 alpha -2))))))
(*.f64 (-.f64 (pow.f64 (/.f64 beta alpha) 2) (pow.f64 alpha -2)) (/.f64 1 (/.f64 (-.f64 beta 1) alpha)))
(*.f64 (+.f64 beta 1) (/.f64 1 alpha))
(/.f64 1 (/.f64 (pow.f64 alpha 2) (fma.f64 beta alpha alpha)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 beta alpha) 2) (-.f64 (pow.f64 alpha -2) (*.f64 beta (pow.f64 alpha -2)))) (+.f64 (pow.f64 (/.f64 beta alpha) 3) (pow.f64 alpha -3))))
(/.f64 1 (/.f64 (/.f64 (-.f64 beta 1) alpha) (-.f64 (pow.f64 (/.f64 beta alpha) 2) (pow.f64 alpha -2))))
(/.f64 (fma.f64 beta alpha alpha) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (/.f64 beta alpha) 3) (pow.f64 alpha -3)) (+.f64 (pow.f64 (/.f64 beta alpha) 2) (-.f64 (pow.f64 alpha -2) (*.f64 beta (pow.f64 alpha -2)))))
(/.f64 (+.f64 (pow.f64 (/.f64 beta alpha) 3) (pow.f64 alpha -3)) (+.f64 (pow.f64 alpha -2) (-.f64 (pow.f64 (/.f64 beta alpha) 2) (*.f64 beta (pow.f64 alpha -2)))))
(/.f64 (-.f64 (pow.f64 (/.f64 beta alpha) 2) (pow.f64 alpha -2)) (/.f64 (-.f64 beta 1) alpha))
(/.f64 (fma.f64 beta (neg.f64 alpha) (*.f64 alpha -1)) (*.f64 alpha (neg.f64 alpha)))
(/.f64 (+.f64 alpha (*.f64 (/.f64 alpha beta) 1)) (*.f64 (/.f64 alpha beta) alpha))
(/.f64 (fma.f64 -1 alpha (*.f64 (/.f64 alpha beta) -1)) (*.f64 (/.f64 alpha beta) (neg.f64 alpha)))
(/.f64 (fma.f64 (neg.f64 beta) alpha (*.f64 (neg.f64 alpha) 1)) (*.f64 (neg.f64 alpha) alpha))
(/.f64 (fma.f64 (neg.f64 beta) (neg.f64 alpha) (*.f64 (neg.f64 alpha) -1)) (*.f64 (neg.f64 alpha) (neg.f64 alpha)))
(/.f64 (+.f64 (/.f64 alpha beta) alpha) (*.f64 alpha (/.f64 alpha beta)))
(/.f64 (fma.f64 -1 alpha (*.f64 alpha (neg.f64 beta))) (*.f64 alpha (neg.f64 alpha)))
(/.f64 (fma.f64 -1 alpha (*.f64 (neg.f64 alpha) beta)) (*.f64 (neg.f64 alpha) alpha))
(/.f64 (fma.f64 -1 (/.f64 alpha beta) (*.f64 (neg.f64 alpha) 1)) (*.f64 (neg.f64 alpha) (/.f64 alpha beta)))
(/.f64 (fma.f64 -1 (neg.f64 alpha) (*.f64 (neg.f64 alpha) (neg.f64 beta))) (*.f64 (neg.f64 alpha) (neg.f64 alpha)))
(/.f64 (neg.f64 (fma.f64 beta alpha alpha)) (neg.f64 (pow.f64 alpha 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 beta alpha) 3) (pow.f64 alpha -3))) (neg.f64 (+.f64 (pow.f64 (/.f64 beta alpha) 2) (-.f64 (pow.f64 alpha -2) (*.f64 beta (pow.f64 alpha -2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 beta alpha) 2) (pow.f64 alpha -2))) (neg.f64 (/.f64 (-.f64 beta 1) alpha)))
(/.f64 (-.f64 (pow.f64 alpha -2) (pow.f64 (/.f64 beta alpha) 2)) (-.f64 (/.f64 1 alpha) (/.f64 beta alpha)))
(/.f64 (/.f64 (fma.f64 beta alpha alpha) alpha) alpha)
(pow.f64 (*.f64 (/.f64 1 alpha) (+.f64 1 beta)) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 1 alpha) (+.f64 1 beta))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 1 alpha) (+.f64 1 beta)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 1 alpha) (+.f64 1 beta))) 2)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 1 alpha) (+.f64 1 beta)) 2))
(log.f64 (exp.f64 (*.f64 (/.f64 1 alpha) (+.f64 1 beta))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 1 alpha) (+.f64 1 beta)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 1 alpha) (+.f64 1 beta)) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 1 alpha) (+.f64 1 beta))))
(exp.f64 (log.f64 (*.f64 (/.f64 1 alpha) (+.f64 1 beta))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 1 alpha) (+.f64 1 beta))) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 1 alpha) (+.f64 1 beta))))
(fma.f64 beta (/.f64 1 alpha) (/.f64 1 alpha))
(fma.f64 (/.f64 beta alpha) 1 (/.f64 1 alpha))
(fma.f64 1 (/.f64 beta alpha) (/.f64 1 alpha))
(fma.f64 1 (/.f64 1 alpha) (/.f64 beta alpha))
(fma.f64 (/.f64 1 alpha) beta (/.f64 1 alpha))
(fma.f64 (/.f64 1 alpha) 1 (/.f64 beta alpha))
(fma.f64 -1 (/.f64 1 (neg.f64 alpha)) (/.f64 beta alpha))
(fma.f64 (pow.f64 (cbrt.f64 beta) 2) (*.f64 (cbrt.f64 beta) (/.f64 1 alpha)) (/.f64 1 alpha))
(fma.f64 (cbrt.f64 (/.f64 beta alpha)) (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2) (/.f64 1 alpha))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2) (cbrt.f64 (/.f64 beta alpha)) (/.f64 1 alpha))
(fma.f64 (/.f64 1 (cbrt.f64 alpha)) (cbrt.f64 (pow.f64 alpha -2)) (/.f64 beta alpha))
(fma.f64 (cbrt.f64 (pow.f64 alpha -2)) (/.f64 1 (cbrt.f64 alpha)) (/.f64 beta alpha))
(fma.f64 (sqrt.f64 beta) (*.f64 (sqrt.f64 beta) (/.f64 1 alpha)) (/.f64 1 alpha))
(fma.f64 (sqrt.f64 (/.f64 beta alpha)) (sqrt.f64 (/.f64 beta alpha)) (/.f64 1 alpha))
(fma.f64 (pow.f64 alpha -1/2) (pow.f64 alpha -1/2) (/.f64 beta alpha))
(fma.f64 (pow.f64 alpha -1/2) (/.f64 beta (sqrt.f64 alpha)) (/.f64 1 alpha))
(fma.f64 (neg.f64 beta) (/.f64 1 (neg.f64 alpha)) (/.f64 1 alpha))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 alpha) 2) -1) (pow.f64 (cbrt.f64 alpha) -1) (/.f64 beta alpha))
(fma.f64 (pow.f64 (sqrt.f64 alpha) -1) (pow.f64 (sqrt.f64 alpha) -1) (/.f64 beta alpha))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 beta (cbrt.f64 alpha)) (/.f64 1 alpha))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) alpha) (/.f64 1 alpha))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 beta alpha)) (/.f64 1 alpha))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 beta) (sqrt.f64 alpha)) (/.f64 1 alpha))
(fma.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) alpha) (/.f64 1 alpha))
(fma.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 alpha)) (/.f64 1 alpha))
(fma.f64 (*.f64 beta (cbrt.f64 (pow.f64 alpha -2))) (/.f64 1 (cbrt.f64 alpha)) (/.f64 1 alpha))
(fma.f64 (*.f64 beta (pow.f64 alpha -1/2)) (pow.f64 alpha -1/2) (/.f64 1 alpha))
(+.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))
(+.f64 1 (*.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) 1))
(+.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) 1)
(*.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1)
(*.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2) (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(*.f64 (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (/.f64 1 (fma.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1)))
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(/.f64 1 (/.f64 (fma.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))))
(/.f64 1 (/.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (fma.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (neg.f64 (fma.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (neg.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) 3)) (+.f64 1 (-.f64 (*.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))))
(/.f64 (-.f64 1 (*.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (-.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))
(pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1)
(pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 3)
(pow.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2)
(sqrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2))
(log.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))))
(cbrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3))
(expm1.f64 (log1p.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(exp.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) 1))
(log1p.f64 (expm1.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(fma.f64 alpha (neg.f64 (/.f64 1 (+.f64 alpha 2))) 1)
(fma.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) 1)
(fma.f64 -1 (/.f64 alpha (+.f64 alpha 2)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2) (neg.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2)))) 1)
(fma.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))) (neg.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha 2)))) 1)
(fma.f64 (neg.f64 alpha) (/.f64 1 (+.f64 alpha 2)) 1)
(fma.f64 (*.f64 (cbrt.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) (cbrt.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (cbrt.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) 1)
(fma.f64 (sqrt.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) (sqrt.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) 1)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2)) (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 1)
(fma.f64 (neg.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha 2)))) (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))) 1)
(-.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1)
(*.f64 alpha (/.f64 1 (+.f64 alpha 2)))
(*.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(*.f64 (/.f64 alpha (+.f64 alpha 2)) 1)
(*.f64 (pow.f64 (cbrt.f64 alpha) 2) (*.f64 (cbrt.f64 alpha) (/.f64 1 (+.f64 alpha 2))))
(*.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2) (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))))
(*.f64 (sqrt.f64 alpha) (*.f64 (sqrt.f64 alpha) (/.f64 1 (+.f64 alpha 2))))
(*.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))) (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))))
(*.f64 (neg.f64 alpha) (/.f64 1 (fma.f64 -1 alpha -2)))
(*.f64 (/.f64 1 (+.f64 alpha 2)) alpha)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (/.f64 alpha (cbrt.f64 (+.f64 alpha 2))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha 2))) (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) 1) (/.f64 (cbrt.f64 alpha) (+.f64 alpha 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (+.f64 alpha 2))) (/.f64 (cbrt.f64 alpha) (sqrt.f64 (+.f64 alpha 2))))
(*.f64 (/.f64 (sqrt.f64 alpha) 1) (/.f64 (sqrt.f64 alpha) (+.f64 alpha 2)))
(*.f64 (/.f64 (sqrt.f64 alpha) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (/.f64 (sqrt.f64 alpha) (cbrt.f64 (+.f64 alpha 2))))
(*.f64 (/.f64 alpha (+.f64 (pow.f64 alpha 3) 8)) (-.f64 (fma.f64 alpha alpha 4) (*.f64 alpha 2)))
(*.f64 (/.f64 alpha (fma.f64 alpha alpha -4)) (+.f64 alpha -2))
(pow.f64 (/.f64 alpha (+.f64 alpha 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 3)
(pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2)
(pow.f64 (/.f64 (+.f64 alpha 2) alpha) -1)
(neg.f64 (/.f64 alpha (fma.f64 -1 alpha -2)))
(sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))
(log.f64 (exp.f64 (/.f64 alpha (+.f64 alpha 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 alpha (+.f64 alpha 2)))))
(cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))
(expm1.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha 2))))
(exp.f64 (log.f64 (/.f64 alpha (+.f64 alpha 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 alpha (+.f64 alpha 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 alpha (+.f64 alpha 2))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 beta (+.f64 alpha 2)))) 1)
(*.f64 beta (/.f64 1 (+.f64 alpha 2)))
(*.f64 1 (/.f64 beta (+.f64 alpha 2)))
(*.f64 (/.f64 beta (+.f64 alpha 2)) 1)
(*.f64 (pow.f64 (cbrt.f64 beta) 2) (*.f64 (cbrt.f64 beta) (/.f64 1 (+.f64 alpha 2))))
(*.f64 (cbrt.f64 (/.f64 beta (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 alpha 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 alpha 2))) 2) (cbrt.f64 (/.f64 beta (+.f64 alpha 2))))
(*.f64 (sqrt.f64 beta) (*.f64 (sqrt.f64 beta) (/.f64 1 (+.f64 alpha 2))))
(*.f64 (sqrt.f64 (/.f64 beta (+.f64 alpha 2))) (sqrt.f64 (/.f64 beta (+.f64 alpha 2))))
(*.f64 (neg.f64 beta) (/.f64 1 (fma.f64 -1 alpha -2)))
(*.f64 (/.f64 1 (+.f64 alpha 2)) beta)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (/.f64 beta (cbrt.f64 (+.f64 alpha 2))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha 2))) (/.f64 beta (sqrt.f64 (+.f64 alpha 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (+.f64 alpha 2)))
(*.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 alpha 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (/.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 alpha 2))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 alpha 2))))
(*.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 alpha 2))))
(*.f64 (/.f64 beta (+.f64 (pow.f64 alpha 3) 8)) (-.f64 (fma.f64 alpha alpha 4) (*.f64 alpha 2)))
(*.f64 (/.f64 beta (fma.f64 alpha alpha -4)) (+.f64 alpha -2))
(pow.f64 (/.f64 beta (+.f64 alpha 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 beta (+.f64 alpha 2))) 3)
(pow.f64 (pow.f64 (/.f64 beta (+.f64 alpha 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 beta (+.f64 alpha 2))) 2)
(pow.f64 (/.f64 (+.f64 alpha 2) beta) -1)
(neg.f64 (/.f64 beta (fma.f64 -1 alpha -2)))
(sqrt.f64 (pow.f64 (/.f64 beta (+.f64 alpha 2)) 2))
(log.f64 (exp.f64 (/.f64 beta (+.f64 alpha 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 beta (+.f64 alpha 2)))))
(cbrt.f64 (pow.f64 (/.f64 beta (+.f64 alpha 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 beta (+.f64 alpha 2))))
(exp.f64 (log.f64 (/.f64 beta (+.f64 alpha 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 beta (+.f64 alpha 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 beta (+.f64 alpha 2))))
Outputs
(/.f64 1 alpha)
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 (+.f64 1 beta) alpha)
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 (+.f64 1 beta) alpha)
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 (+.f64 1 beta) alpha)
(/.f64 beta alpha)
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 (+.f64 1 beta) alpha)
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 (+.f64 1 beta) alpha)
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 (+.f64 1 beta) alpha)
(/.f64 beta alpha)
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
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(fma.f64 (sqrt.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) (sqrt.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) 1)
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2)) (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 1)
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(fma.f64 (neg.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha 2)))) (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))) 1)
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(-.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1)
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 alpha 2)) 1))
(+.f64 (/.f64 alpha (+.f64 alpha 2)) 0)
(/.f64 alpha (+.f64 alpha 2))
(*.f64 alpha (/.f64 1 (+.f64 alpha 2)))
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 alpha 2)) 1))
(+.f64 (/.f64 alpha (+.f64 alpha 2)) 0)
(/.f64 alpha (+.f64 alpha 2))
(*.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 alpha 2)) 1))
(+.f64 (/.f64 alpha (+.f64 alpha 2)) 0)
(/.f64 alpha (+.f64 alpha 2))
(*.f64 (/.f64 alpha (+.f64 alpha 2)) 1)
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 alpha 2)) 1))
(+.f64 (/.f64 alpha (+.f64 alpha 2)) 0)
(/.f64 alpha (+.f64 alpha 2))
(*.f64 (pow.f64 (cbrt.f64 alpha) 2) (*.f64 (cbrt.f64 alpha) (/.f64 1 (+.f64 alpha 2))))
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 alpha 2)) 1))
(+.f64 (/.f64 alpha (+.f64 alpha 2)) 0)
(/.f64 alpha (+.f64 alpha 2))
(*.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2))
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 alpha 2)) 1))
(+.f64 (/.f64 alpha (+.f64 alpha 2)) 0)
(/.f64 alpha (+.f64 alpha 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2) (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))))
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 alpha 2)) 1))
(+.f64 (/.f64 alpha (+.f64 alpha 2)) 0)
(/.f64 alpha (+.f64 alpha 2))
(*.f64 (sqrt.f64 alpha) (*.f64 (sqrt.f64 alpha) (/.f64 1 (+.f64 alpha 2))))
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 alpha 2)) 1))
(+.f64 (/.f64 alpha (+.f64 alpha 2)) 0)
(/.f64 alpha (+.f64 alpha 2))
(*.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))) (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))))
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 alpha 2)) 1))
(+.f64 (/.f64 alpha (+.f64 alpha 2)) 0)
(/.f64 alpha (+.f64 alpha 2))
(*.f64 (neg.f64 alpha) (/.f64 1 (fma.f64 -1 alpha -2)))
(/.f64 (neg.f64 alpha) (fma.f64 -1 alpha -2))
(/.f64 (neg.f64 alpha) (fma.f64 alpha -1 -2))
(/.f64 (neg.f64 alpha) (-.f64 -2 alpha))
(*.f64 (/.f64 1 (+.f64 alpha 2)) alpha)
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 alpha 2)) 1))
(+.f64 (/.f64 alpha (+.f64 alpha 2)) 0)
(/.f64 alpha (+.f64 alpha 2))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (/.f64 alpha (cbrt.f64 (+.f64 alpha 2))))
(/.f64 (/.f64 alpha (cbrt.f64 (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha 2))) (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))))
(/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 alpha 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) 1) (/.f64 (cbrt.f64 alpha) (+.f64 alpha 2)))
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 alpha 2)) 1))
(+.f64 (/.f64 alpha (+.f64 alpha 2)) 0)
(/.f64 alpha (+.f64 alpha 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))))
(*.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (+.f64 alpha 2))) (/.f64 (cbrt.f64 alpha) (sqrt.f64 (+.f64 alpha 2))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha 2))) (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))))
(/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 alpha 2)))
(*.f64 (/.f64 (sqrt.f64 alpha) 1) (/.f64 (sqrt.f64 alpha) (+.f64 alpha 2)))
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 alpha 2)) 1))
(+.f64 (/.f64 alpha (+.f64 alpha 2)) 0)
(/.f64 alpha (+.f64 alpha 2))
(*.f64 (/.f64 (sqrt.f64 alpha) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (/.f64 (sqrt.f64 alpha) (cbrt.f64 (+.f64 alpha 2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (/.f64 alpha (cbrt.f64 (+.f64 alpha 2))))
(/.f64 (/.f64 alpha (cbrt.f64 (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2))
(*.f64 (/.f64 alpha (+.f64 (pow.f64 alpha 3) 8)) (-.f64 (fma.f64 alpha alpha 4) (*.f64 alpha 2)))
(/.f64 (*.f64 alpha (-.f64 (fma.f64 alpha alpha 4) (*.f64 alpha 2))) (+.f64 (pow.f64 alpha 3) 8))
(*.f64 (/.f64 alpha (+.f64 (pow.f64 alpha 3) 8)) (+.f64 (fma.f64 alpha alpha 4) (*.f64 alpha -2)))
(/.f64 (*.f64 alpha (+.f64 (fma.f64 alpha alpha 4) (*.f64 alpha -2))) (+.f64 (pow.f64 alpha 3) 8))
(*.f64 (/.f64 alpha (fma.f64 alpha alpha -4)) (+.f64 alpha -2))
(pow.f64 (/.f64 alpha (+.f64 alpha 2)) 1)
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 alpha 2)) 1))
(+.f64 (/.f64 alpha (+.f64 alpha 2)) 0)
(/.f64 alpha (+.f64 alpha 2))
(pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 3)
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 alpha 2)) 1))
(+.f64 (/.f64 alpha (+.f64 alpha 2)) 0)
(/.f64 alpha (+.f64 alpha 2))
(pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 alpha 2)) 1))
(+.f64 (/.f64 alpha (+.f64 alpha 2)) 0)
(/.f64 alpha (+.f64 alpha 2))
(pow.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2)
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 alpha 2)) 1))
(+.f64 (/.f64 alpha (+.f64 alpha 2)) 0)
(/.f64 alpha (+.f64 alpha 2))
(pow.f64 (/.f64 (+.f64 alpha 2) alpha) -1)
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 alpha 2)) 1))
(+.f64 (/.f64 alpha (+.f64 alpha 2)) 0)
(/.f64 alpha (+.f64 alpha 2))
(neg.f64 (/.f64 alpha (fma.f64 -1 alpha -2)))
(/.f64 (neg.f64 alpha) (fma.f64 -1 alpha -2))
(/.f64 (neg.f64 alpha) (fma.f64 alpha -1 -2))
(/.f64 (neg.f64 alpha) (-.f64 -2 alpha))
(sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 alpha 2)) 1))
(+.f64 (/.f64 alpha (+.f64 alpha 2)) 0)
(/.f64 alpha (+.f64 alpha 2))
(log.f64 (exp.f64 (/.f64 alpha (+.f64 alpha 2))))
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 alpha 2)) 1))
(+.f64 (/.f64 alpha (+.f64 alpha 2)) 0)
(/.f64 alpha (+.f64 alpha 2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 alpha (+.f64 alpha 2)))))
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 alpha 2)) 1))
(+.f64 (/.f64 alpha (+.f64 alpha 2)) 0)
(/.f64 alpha (+.f64 alpha 2))
(cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 alpha 2)) 1))
(+.f64 (/.f64 alpha (+.f64 alpha 2)) 0)
(/.f64 alpha (+.f64 alpha 2))
(expm1.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha 2))))
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 alpha 2)) 1))
(+.f64 (/.f64 alpha (+.f64 alpha 2)) 0)
(/.f64 alpha (+.f64 alpha 2))
(exp.f64 (log.f64 (/.f64 alpha (+.f64 alpha 2))))
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 alpha 2)) 1))
(+.f64 (/.f64 alpha (+.f64 alpha 2)) 0)
(/.f64 alpha (+.f64 alpha 2))
(exp.f64 (*.f64 (log.f64 (/.f64 alpha (+.f64 alpha 2))) 1))
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 alpha 2)) 1))
(+.f64 (/.f64 alpha (+.f64 alpha 2)) 0)
(/.f64 alpha (+.f64 alpha 2))
(log1p.f64 (expm1.f64 (/.f64 alpha (+.f64 alpha 2))))
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 alpha 2)) 1))
(+.f64 (/.f64 alpha (+.f64 alpha 2)) 0)
(/.f64 alpha (+.f64 alpha 2))
(-.f64 (exp.f64 (log1p.f64 (/.f64 beta (+.f64 alpha 2)))) 1)
(/.f64 beta (+.f64 alpha 2))
(*.f64 beta (/.f64 1 (+.f64 alpha 2)))
(/.f64 beta (+.f64 alpha 2))
(*.f64 1 (/.f64 beta (+.f64 alpha 2)))
(/.f64 beta (+.f64 alpha 2))
(*.f64 (/.f64 beta (+.f64 alpha 2)) 1)
(/.f64 beta (+.f64 alpha 2))
(*.f64 (pow.f64 (cbrt.f64 beta) 2) (*.f64 (cbrt.f64 beta) (/.f64 1 (+.f64 alpha 2))))
(/.f64 beta (+.f64 alpha 2))
(*.f64 (cbrt.f64 (/.f64 beta (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 alpha 2))) 2))
(/.f64 beta (+.f64 alpha 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 alpha 2))) 2) (cbrt.f64 (/.f64 beta (+.f64 alpha 2))))
(/.f64 beta (+.f64 alpha 2))
(*.f64 (sqrt.f64 beta) (*.f64 (sqrt.f64 beta) (/.f64 1 (+.f64 alpha 2))))
(/.f64 beta (+.f64 alpha 2))
(*.f64 (sqrt.f64 (/.f64 beta (+.f64 alpha 2))) (sqrt.f64 (/.f64 beta (+.f64 alpha 2))))
(/.f64 beta (+.f64 alpha 2))
(*.f64 (neg.f64 beta) (/.f64 1 (fma.f64 -1 alpha -2)))
(/.f64 (neg.f64 beta) (fma.f64 alpha -1 -2))
(/.f64 (neg.f64 beta) (-.f64 -2 alpha))
(*.f64 (/.f64 1 (+.f64 alpha 2)) beta)
(/.f64 beta (+.f64 alpha 2))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (/.f64 beta (cbrt.f64 (+.f64 alpha 2))))
(/.f64 (*.f64 1 (/.f64 beta (cbrt.f64 (+.f64 alpha 2)))) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2))
(/.f64 (/.f64 beta (cbrt.f64 (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha 2))) (/.f64 beta (sqrt.f64 (+.f64 alpha 2))))
(/.f64 (/.f64 beta (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 alpha 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (+.f64 alpha 2)))
(/.f64 beta (+.f64 alpha 2))
(*.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 alpha 2)))
(/.f64 beta (+.f64 alpha 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (/.f64 beta (+.f64 alpha 2))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 beta) 2) (cbrt.f64 (/.f64 beta (+.f64 alpha 2)))) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2))
(*.f64 (cbrt.f64 (/.f64 beta (+.f64 alpha 2))) (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 alpha 2))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 alpha 2))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha 2))) (/.f64 beta (sqrt.f64 (+.f64 alpha 2))))
(/.f64 (/.f64 beta (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 alpha 2)))
(*.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 alpha 2))))
(/.f64 (*.f64 1 (/.f64 beta (cbrt.f64 (+.f64 alpha 2)))) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2))
(/.f64 (/.f64 beta (cbrt.f64 (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2))
(*.f64 (/.f64 beta (+.f64 (pow.f64 alpha 3) 8)) (-.f64 (fma.f64 alpha alpha 4) (*.f64 alpha 2)))
(/.f64 (*.f64 beta (-.f64 (fma.f64 alpha alpha 4) (*.f64 alpha 2))) (+.f64 (pow.f64 alpha 3) 8))
(*.f64 (+.f64 (fma.f64 alpha alpha 4) (*.f64 alpha -2)) (/.f64 beta (+.f64 (pow.f64 alpha 3) 8)))
(/.f64 beta (/.f64 (+.f64 (pow.f64 alpha 3) 8) (+.f64 (fma.f64 alpha alpha 4) (*.f64 alpha -2))))
(*.f64 (/.f64 beta (fma.f64 alpha alpha -4)) (+.f64 alpha -2))
(/.f64 (*.f64 beta (+.f64 alpha -2)) (fma.f64 alpha alpha -4))
(*.f64 (+.f64 alpha -2) (/.f64 beta (fma.f64 alpha alpha -4)))
(pow.f64 (/.f64 beta (+.f64 alpha 2)) 1)
(/.f64 beta (+.f64 alpha 2))
(pow.f64 (cbrt.f64 (/.f64 beta (+.f64 alpha 2))) 3)
(/.f64 beta (+.f64 alpha 2))
(pow.f64 (pow.f64 (/.f64 beta (+.f64 alpha 2)) 3) 1/3)
(/.f64 beta (+.f64 alpha 2))
(pow.f64 (sqrt.f64 (/.f64 beta (+.f64 alpha 2))) 2)
(/.f64 beta (+.f64 alpha 2))
(pow.f64 (/.f64 (+.f64 alpha 2) beta) -1)
(/.f64 beta (+.f64 alpha 2))
(neg.f64 (/.f64 beta (fma.f64 -1 alpha -2)))
(*.f64 (neg.f64 beta) (/.f64 1 (fma.f64 -1 alpha -2)))
(/.f64 (neg.f64 beta) (fma.f64 alpha -1 -2))
(/.f64 (neg.f64 beta) (-.f64 -2 alpha))
(sqrt.f64 (pow.f64 (/.f64 beta (+.f64 alpha 2)) 2))
(/.f64 beta (+.f64 alpha 2))
(log.f64 (exp.f64 (/.f64 beta (+.f64 alpha 2))))
(/.f64 beta (+.f64 alpha 2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 beta (+.f64 alpha 2)))))
(/.f64 beta (+.f64 alpha 2))
(cbrt.f64 (pow.f64 (/.f64 beta (+.f64 alpha 2)) 3))
(/.f64 beta (+.f64 alpha 2))
(cbrt.f64 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))
(/.f64 beta (+.f64 alpha 2))
(expm1.f64 (log1p.f64 (/.f64 beta (+.f64 alpha 2))))
(/.f64 beta (+.f64 alpha 2))
(exp.f64 (log.f64 (/.f64 beta (+.f64 alpha 2))))
(/.f64 beta (+.f64 alpha 2))
(exp.f64 (*.f64 (log.f64 (/.f64 beta (+.f64 alpha 2))) 1))
(/.f64 beta (+.f64 alpha 2))
(log1p.f64 (expm1.f64 (/.f64 beta (+.f64 alpha 2))))
(/.f64 beta (+.f64 alpha 2))

eval103.0ms (1.4%)

Compiler

Compiled 4470 to 3225 computations (27.9% saved)

prune63.0ms (0.8%)

Pruning

21 alts after pruning (9 fresh and 12 done)

PrunedKeptTotal
New3053308
Fresh167
Picked055
Done077
Total30621327
Accuracy
100.0%
Counts
327 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
31.8%
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 beta) alpha)) 2)
71.2%
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) -1) 2)
48.0%
(/.f64 (-.f64 (/.f64 beta (+.f64 alpha 2)) -1) 2)
47.2%
(/.f64 (-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha beta)) 2)
30.3%
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)) (-.f64 (-.f64 -2 beta) beta)) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 2)
47.8%
(/.f64 (-.f64 (*.f64 beta 1/2) -1) 2)
26.0%
(/.f64 (-.f64 2 (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta)) 2)
26.0%
(/.f64 (-.f64 2 (/.f64 (+.f64 2 alpha) beta)) 2)
26.4%
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
50.7%
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
49.3%
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
72.1%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
71.2%
(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
71.2%
(/.f64 (+.f64 (/.f64 1 (/.f64 (+.f64 2 beta) beta)) 1) 2)
31.8%
(/.f64 (+.f64 1 beta) alpha)
11.1%
(/.f64 beta alpha)
33.5%
(/.f64 2 2)
24.7%
(/.f64 1 alpha)
51.0%
(/.f64 1 2)
31.8%
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
11.0%
(*.f64 (/.f64 1 alpha) beta)
Compiler

Compiled 554 to 414 computations (25.3% saved)

regimes154.0ms (2.1%)

Counts
31 → 2
Calls
Call 1
Inputs
(/.f64 1 2)
(/.f64 1 alpha)
(/.f64 2 2)
(/.f64 beta alpha)
(*.f64 (/.f64 1 alpha) beta)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (+.f64 1 beta) alpha)
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
(/.f64 (-.f64 (*.f64 beta 1/2) -1) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
(/.f64 (-.f64 2 (/.f64 (+.f64 2 alpha) beta)) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 alpha 2)) -1) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(/.f64 (+.f64 (/.f64 1 (/.f64 (+.f64 2 beta) beta)) 1) 2)
(/.f64 (-.f64 2 (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta)) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) -1) 2)
(/.f64 (+.f64 2 (neg.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta))) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
(/.f64 (-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha beta)) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 beta) alpha)) 2)
(/.f64 (-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) 2)
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)) (-.f64 (-.f64 -2 beta) beta)) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 2)
(/.f64 (-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))) (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))) 2)
Outputs
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)) (-.f64 (-.f64 -2 beta) beta)) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 2)
(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) 2)
Calls

5 calls:

76.0ms
alpha
41.0ms
beta
16.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
7.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
6.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
Results
AccuracySegmentsBranch
96.2%2alpha
75.0%3beta
100.0%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
100.0%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
100.0%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
Compiler

Compiled 372 to 268 computations (28% saved)

regimes36.0ms (0.5%)

Counts
29 → 2
Calls
Call 1
Inputs
(/.f64 1 2)
(/.f64 1 alpha)
(/.f64 2 2)
(/.f64 beta alpha)
(*.f64 (/.f64 1 alpha) beta)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (+.f64 1 beta) alpha)
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
(/.f64 (-.f64 (*.f64 beta 1/2) -1) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
(/.f64 (-.f64 2 (/.f64 (+.f64 2 alpha) beta)) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 alpha 2)) -1) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(/.f64 (+.f64 (/.f64 1 (/.f64 (+.f64 2 beta) beta)) 1) 2)
(/.f64 (-.f64 2 (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta)) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) -1) 2)
(/.f64 (+.f64 2 (neg.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta))) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
(/.f64 (-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha beta)) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 beta) alpha)) 2)
(/.f64 (-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) 2)
Outputs
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 beta) alpha)) 2)
(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) 2)
Calls

3 calls:

16.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
7.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
6.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
Results
AccuracySegmentsBranch
99.8%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
99.8%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
99.8%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
Compiler

Compiled 308 to 222 computations (27.9% saved)

regimes35.0ms (0.5%)

Counts
28 → 2
Calls
Call 1
Inputs
(/.f64 1 2)
(/.f64 1 alpha)
(/.f64 2 2)
(/.f64 beta alpha)
(*.f64 (/.f64 1 alpha) beta)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (+.f64 1 beta) alpha)
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
(/.f64 (-.f64 (*.f64 beta 1/2) -1) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
(/.f64 (-.f64 2 (/.f64 (+.f64 2 alpha) beta)) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 alpha 2)) -1) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(/.f64 (+.f64 (/.f64 1 (/.f64 (+.f64 2 beta) beta)) 1) 2)
(/.f64 (-.f64 2 (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta)) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) -1) 2)
(/.f64 (+.f64 2 (neg.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta))) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
(/.f64 (-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha beta)) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 beta) alpha)) 2)
(/.f64 (-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
Outputs
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 beta) alpha)) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
Calls

3 calls:

15.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
6.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
5.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
Results
AccuracySegmentsBranch
99.8%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
99.8%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
99.8%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
Compiler

Compiled 294 to 213 computations (27.6% saved)

regimes31.0ms (0.4%)

Counts
25 → 2
Calls
Call 1
Inputs
(/.f64 1 2)
(/.f64 1 alpha)
(/.f64 2 2)
(/.f64 beta alpha)
(*.f64 (/.f64 1 alpha) beta)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (+.f64 1 beta) alpha)
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
(/.f64 (-.f64 (*.f64 beta 1/2) -1) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
(/.f64 (-.f64 2 (/.f64 (+.f64 2 alpha) beta)) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 alpha 2)) -1) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(/.f64 (+.f64 (/.f64 1 (/.f64 (+.f64 2 beta) beta)) 1) 2)
(/.f64 (-.f64 2 (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta)) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) -1) 2)
(/.f64 (+.f64 2 (neg.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta))) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
(/.f64 (-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha beta)) 2)
Outputs
(/.f64 (+.f64 1 beta) alpha)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
Calls

3 calls:

13.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
6.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
5.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
Results
AccuracySegmentsBranch
99.8%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
99.8%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
99.8%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
Compiler

Compiled 241 to 177 computations (26.6% saved)

regimes26.0ms (0.3%)

Counts
22 → 2
Calls
Call 1
Inputs
(/.f64 1 2)
(/.f64 1 alpha)
(/.f64 2 2)
(/.f64 beta alpha)
(*.f64 (/.f64 1 alpha) beta)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (+.f64 1 beta) alpha)
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
(/.f64 (-.f64 (*.f64 beta 1/2) -1) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
(/.f64 (-.f64 2 (/.f64 (+.f64 2 alpha) beta)) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 alpha 2)) -1) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(/.f64 (+.f64 (/.f64 1 (/.f64 (+.f64 2 beta) beta)) 1) 2)
(/.f64 (-.f64 2 (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta)) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) -1) 2)
(/.f64 (+.f64 2 (neg.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta))) 2)
Outputs
(/.f64 (+.f64 (/.f64 1 (/.f64 (+.f64 2 beta) beta)) 1) 2)
(/.f64 (+.f64 1 beta) alpha)
Calls

1 calls:

21.0ms
alpha
Results
AccuracySegmentsBranch
95.5%2alpha
Compiler

Compiled 164 to 125 computations (23.8% saved)

regimes67.0ms (0.9%)

Counts
18 → 2
Calls
Call 1
Inputs
(/.f64 1 2)
(/.f64 1 alpha)
(/.f64 2 2)
(/.f64 beta alpha)
(*.f64 (/.f64 1 alpha) beta)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (+.f64 1 beta) alpha)
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
(/.f64 (-.f64 (*.f64 beta 1/2) -1) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
(/.f64 (-.f64 2 (/.f64 (+.f64 2 alpha) beta)) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 alpha 2)) -1) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
Outputs
(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
(/.f64 (+.f64 1 beta) alpha)
Calls

1 calls:

17.0ms
alpha
Results
AccuracySegmentsBranch
95.4%2alpha
Compiler

Compiled 119 to 90 computations (24.4% saved)

regimes17.0ms (0.2%)

Counts
13 → 2
Calls
Call 1
Inputs
(/.f64 1 2)
(/.f64 1 alpha)
(/.f64 2 2)
(/.f64 beta alpha)
(*.f64 (/.f64 1 alpha) beta)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (+.f64 1 beta) alpha)
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
(/.f64 (-.f64 (*.f64 beta 1/2) -1) 2)
Outputs
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(/.f64 (+.f64 1 beta) alpha)
Calls

1 calls:

14.0ms
alpha
Results
AccuracySegmentsBranch
78.7%2alpha
Compiler

Compiled 74 to 55 computations (25.7% saved)

regimes14.0ms (0.2%)

Counts
10 → 2
Calls
Call 1
Inputs
(/.f64 1 2)
(/.f64 1 alpha)
(/.f64 2 2)
(/.f64 beta alpha)
(*.f64 (/.f64 1 alpha) beta)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (+.f64 1 beta) alpha)
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
Outputs
(/.f64 1 2)
(/.f64 (+.f64 1 beta) alpha)
Calls

1 calls:

12.0ms
alpha
Results
AccuracySegmentsBranch
78.4%2alpha
Compiler

Compiled 53 to 37 computations (30.2% saved)

regimes31.0ms (0.4%)

Counts
6 → 2
Calls
Call 1
Inputs
(/.f64 1 2)
(/.f64 1 alpha)
(/.f64 2 2)
(/.f64 beta alpha)
(*.f64 (/.f64 1 alpha) beta)
(/.f64 (+.f64 -1 1) 2)
Outputs
(/.f64 1 2)
(/.f64 1 alpha)
Calls

2 calls:

20.0ms
beta
9.0ms
alpha
Results
AccuracySegmentsBranch
71.5%4beta
71.1%2alpha
Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes6.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

3.0ms
alpha
3.0ms
beta
Results
AccuracySegmentsBranch
51.0%1beta
51.0%1alpha
Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.999999994335998
-0.00011587492901064083
Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.999999994335998
-0.00011587492901064083
Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.999999994335998
-0.00011587492901064083
Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.999999994335998
-0.00011587492901064083
Compiler

Compiled 20 to 15 computations (25% saved)

bsearch21.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
20.0ms
5258485676.399723
888651441238637700.0
Results
15.0ms144×body256valid
Compiler

Compiled 218 to 177 computations (18.8% saved)

bsearch17.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
17.0ms
5258485676.399723
888651441238637700.0
Results
15.0ms144×body256valid
Compiler

Compiled 200 to 159 computations (20.5% saved)

bsearch17.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
17.0ms
3.693934886552964e-8
30.718712030781997
Results
15.0ms144×body256valid
Compiler

Compiled 182 to 150 computations (17.6% saved)

bsearch17.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
17.0ms
5258485676.399723
888651441238637700.0
Results
15.0ms144×body256valid
Compiler

Compiled 146 to 123 computations (15.8% saved)

bsearch17.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
17.0ms
5258485676.399723
888651441238637700.0
Results
15.0ms144×body256valid
Compiler

Compiled 128 to 114 computations (10.9% saved)

simplify73.0ms (1%)

Algorithm
egg-herbie
Rules
456×unsub-neg
234×neg-mul-1
166×distribute-lft-neg-in
132×distribute-neg-out
110×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
072842
199842
2125842
3147842
4178842
5219842
6255842
7358842
8584842
9777842
10819842
11852842
12881842
13918842
14959842
15992842
161012842
171031842
181039842
191043842
201044842
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1/2) (/.f64 (-.f64 (*.f64 (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)) (-.f64 (-.f64 -2 beta) beta)) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 2) (/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1/2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 beta) alpha)) 2) (/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1/2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 beta) alpha)) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1/2) (/.f64 (+.f64 1 beta) alpha) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 alpha 6800000000) (/.f64 (+.f64 (/.f64 1 (/.f64 (+.f64 2 beta) beta)) 1) 2) (/.f64 (+.f64 1 beta) alpha))
(if (<=.f64 alpha 6200000000) (/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2) (/.f64 (+.f64 1 beta) alpha))
(if (<=.f64 alpha 8782019273372467/4503599627370496) (/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) (/.f64 (+.f64 1 beta) alpha))
(if (<=.f64 alpha 5400000000) (/.f64 1 2) (/.f64 (+.f64 1 beta) alpha))
(if (<=.f64 alpha 5400000000) (/.f64 1 2) (/.f64 1 alpha))
(/.f64 1 2)
Outputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1/2) (/.f64 (-.f64 (*.f64 (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)) (-.f64 (-.f64 -2 beta) beta)) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 2) (/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1/2) (/.f64 (-.f64 (*.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (-.f64 (-.f64 -2 beta) beta)) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 2) (/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1/2) (/.f64 (+.f64 (*.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (-.f64 (-.f64 -2 beta) beta)) (/.f64 (+.f64 beta (-.f64 beta -2)) alpha)) 2) (/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1/2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 beta) alpha)) 2) (/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1/2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 beta) alpha)) 2) (/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1/2) (/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 beta -2) alpha)) 2) (/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1/2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 beta) alpha)) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1/2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 beta) alpha)) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1/2) (/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 beta -2) alpha)) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1/2) (/.f64 (+.f64 1 beta) alpha) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1/2) (/.f64 (+.f64 beta 1) alpha) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))
(if (<=.f64 alpha 6800000000) (/.f64 (+.f64 (/.f64 1 (/.f64 (+.f64 2 beta) beta)) 1) 2) (/.f64 (+.f64 1 beta) alpha))
(if (<=.f64 alpha 6800000000) (/.f64 (+.f64 1 (/.f64 1 (/.f64 (+.f64 beta 2) beta))) 2) (/.f64 (+.f64 beta 1) alpha))
(if (<=.f64 alpha 6200000000) (/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2) (/.f64 (+.f64 1 beta) alpha))
(if (<=.f64 alpha 6200000000) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (+.f64 beta 1) alpha))
(if (<=.f64 alpha 8782019273372467/4503599627370496) (/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) (/.f64 (+.f64 1 beta) alpha))
(if (<=.f64 alpha 8782019273372467/4503599627370496) (/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) (/.f64 (+.f64 beta 1) alpha))
(if (<=.f64 alpha 5400000000) (/.f64 1 2) (/.f64 (+.f64 1 beta) alpha))
(if (<=.f64 alpha 5400000000) 1/2 (/.f64 (+.f64 beta 1) alpha))
(if (<=.f64 alpha 5400000000) (/.f64 1 2) (/.f64 1 alpha))
(if (<=.f64 alpha 5400000000) 1/2 (/.f64 1 alpha))
(/.f64 1 2)
1/2
Compiler

Compiled 253 to 177 computations (30% saved)

soundness1.9s (26.3%)

Rules
1650×fma-def
1650×fma-def
1650×fma-def
1434×sub-neg
1312×cancel-sign-sub-inv
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038367
189359
2199351
3536343
41567343
54659343
67229343
03869396
111409042
242968889
01480
119980
2314980
01480
119980
2314980
0107250410
1307647706
05019034
112778147
240827919
03869396
111409042
242968889
05019034
112778147
240827919
024414
1474358
0107250410
1307647706
0107250410
1307647706
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 500 to 350 computations (30% saved)

end0.0ms (0%)

preprocess140.0ms (1.9%)

Compiler

Compiled 500 to 328 computations (34.4% saved)

Profiling

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