Octave 3.8, jcobi/1

Time bar (total: 10.8s)

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)

sample1.3s (11.8%)

Results
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0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
1.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms2048valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms2048valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
Bogosity

preprocess292.0ms (2.7%)

Algorithm
egg-herbie
Rules
1432×sub-neg
1292×div-sub
860×distribute-lft-neg-in
594×neg-mul-1
574×associate-*r/
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
640-0-(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
00-0-(-.f64 beta alpha)
00-0-(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
00-0-(+.f64 (+.f64 alpha beta) 2)
00-0-alpha
00-0-2
00-0-(+.f64 alpha beta)
00-0-(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
00-0-1
00-0-beta
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
038367
192359
2202351
3539343
41571343
54661343
67233343
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 1/2 (/.f64 (/.f64 (-.f64 alpha beta) (+.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 1/2 (/.f64 (/.f64 (-.f64 alpha beta) (+.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 (+.f64 beta 2) alpha))) 2)
(/.f64 (+.f64 1 (/.f64 (+.f64 beta alpha) (+.f64 beta (-.f64 2 alpha)))) 2)
(+.f64 (/.f64 (+.f64 beta alpha) (+.f64 4 (*.f64 2 (-.f64 beta alpha)))) 1/2)
(+.f64 1/2 (/.f64 (+.f64 beta alpha) (+.f64 4 (*.f64 (-.f64 alpha beta) -2))))
(/.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 beta alpha) (*.f64 2 (+.f64 2 (-.f64 alpha beta)))))
(+.f64 1/2 (*.f64 -1/2 (/.f64 (+.f64 beta alpha) (+.f64 2 (-.f64 alpha beta)))))
(+.f64 1/2 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (-.f64 -2 alpha))) 1/2))
(neg.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta (neg.f64 alpha)) (+.f64 (+.f64 (neg.f64 alpha) beta) 2)) 1) 2))
(/.f64 (neg.f64 (+.f64 1 (/.f64 (-.f64 beta (neg.f64 alpha)) (+.f64 2 (-.f64 beta alpha))))) 2)
(/.f64 (neg.f64 (+.f64 1 (/.f64 (+.f64 beta alpha) (-.f64 (+.f64 beta 2) alpha)))) 2)
(/.f64 (-.f64 -1 (/.f64 (+.f64 beta alpha) (+.f64 beta (-.f64 2 alpha)))) 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 (+.f64 beta alpha) -1/2) (+.f64 beta (-.f64 2 alpha))))
(neg.f64 (/.f64 (+.f64 (/.f64 (-.f64 (neg.f64 beta) alpha) (+.f64 (+.f64 alpha (neg.f64 beta)) 2)) 1) 2))
(neg.f64 (/.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 beta alpha) (*.f64 2 (+.f64 2 (-.f64 alpha beta)))))
(*.f64 (-.f64 -1 (/.f64 (+.f64 beta alpha) (+.f64 beta (-.f64 -2 alpha)))) 1/2)
(/.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 1/2 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))
(+.f64 1/2 (/.f64 (/.f64 (-.f64 alpha beta) (+.f64 beta (+.f64 alpha 2))) 2))
Compiler

Compiled 117 to 59 computations (49.6% saved)

eval1.0ms (0%)

Compiler

Compiled 28 to 20 computations (28.6% saved)

prune1.0ms (0%)

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

Compiled 15 to 11 computations (26.7% saved)

localize63.0ms (0.6%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
100.0%
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
76.9%
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
Compiler

Compiled 51 to 24 computations (52.9% saved)

series15.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite257.0ms (2.4%)

Algorithm
batch-egg-rewrite
Rules
1289×log1p-expm1-u
1289×expm1-log1p-u
98×associate-*r*
98×add-cube-cbrt
96×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01480
120680
2330980
Stop Event
node limit
Counts
2 → 74
Calls
Call 1
Inputs
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 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)))
(log1p.f64 (expm1.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))
(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 (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 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (*.f64 (cbrt.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 (sqrt.f64 (-.f64 beta alpha)) (*.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(*.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)))))
(log1p.f64 (expm1.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))

simplify135.0ms (1.2%)

Algorithm
egg-herbie
Rules
1312×cancel-sign-sub-inv
1056×fma-neg
806×unswap-sqr
610×sub-neg
484×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03869408
111509050
243148897
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)))
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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))))
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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)))
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(+.f64 1 (/.f64 beta (+.f64 2 beta)))
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(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
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(*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))
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1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha beta))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
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1
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(/.f64 beta (+.f64 2 beta))
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-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))))
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-1
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha)) 1)
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(-.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))))
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(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)))))
(log1p.f64 (expm1.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))
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 (fma.f64 beta (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) 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 (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 (fma.f64 beta (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) 1) (-.f64 (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 (pow.f64 beta 2)) (+.f64 alpha 2)) (/.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 (*.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 (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)) (/.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 (fma.f64 alpha 2 2) beta)) (*.f64 (/.f64 alpha (pow.f64 beta 3)) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 (/.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 (+.f64 2 (/.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 2 (-.f64 (-.f64 (/.f64 (-.f64 -2 alpha) (/.f64 (pow.f64 beta 2) (-.f64 (-.f64 -2 alpha) alpha))) (/.f64 alpha beta)) (+.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 2 (-.f64 (-.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 alpha beta)) (+.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 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 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (*.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 2 beta))) (/.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 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) 2) (pow.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3))) (-.f64 (/.f64 beta (/.f64 (pow.f64 alpha 2) (+.f64 2 beta))) (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2))))
(+.f64 (-.f64 (+.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (-.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 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 -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 alpha 3)) (pow.f64 (+.f64 2 beta) 2))) (*.f64 (/.f64 beta (pow.f64 alpha 4)) (pow.f64 (+.f64 2 beta) 3))))
(+.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 3)) (pow.f64 (+.f64 2 beta) 2)) (+.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 -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 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3)))))
(+.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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(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(*.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) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) (pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha 2) beta)) 2))
(*.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 -2 beta))) (+.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 alpha) beta))
(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)))
(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)))
(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)))

eval225.0ms (2.1%)

Compiler

Compiled 7395 to 5293 computations (28.4% saved)

prune53.0ms (0.5%)

Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New22212234
Fresh000
Picked011
Done000
Total22213235
Accuracy
100.0%
Counts
235 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.5%
(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) 2)
27.3%
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
77.6%
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
23.7%
(/.f64 (-.f64 (+.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))) (/.f64 (fma.f64 beta (pow.f64 (+.f64 2 beta) 3) (pow.f64 (+.f64 2 beta) 4)) (pow.f64 alpha 4))) 2)
25.6%
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)) (-.f64 (-.f64 -2 beta) beta)) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 2)
50.6%
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
76.9%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
75.1%
(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
23.7%
(/.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 3)) (pow.f64 (+.f64 2 beta) 2)) (+.f64 (*.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 2 beta)) (*.f64 (/.f64 beta (pow.f64 alpha 4)) (pow.f64 (+.f64 2 beta) 3))))) 2)
76.9%
(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2)
30.6%
(/.f64 (+.f64 2 (neg.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta))) 2)
3.7%
(/.f64 (+.f64 -1 1) 2)
38.3%
(/.f64 2 2)
Compiler

Compiled 561 to 431 computations (23.2% saved)

localize362.0ms (3.4%)

Localize:

Found 10 expressions with local error:

NewAccuracyProgram
100.0%
(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
99.8%
(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha))
76.9%
(+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1)
100.0%
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
100.0%
(+.f64 (/.f64 beta (+.f64 2 beta)) 1)
100.0%
(/.f64 beta (+.f64 2 beta))
100.0%
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))
100.0%
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
100.0%
(/.f64 beta (+.f64 beta (+.f64 alpha 2)))
76.9%
(-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)
Compiler

Compiled 193 to 127 computations (34.2% saved)

series51.0ms (0.5%)

Counts
10 → 204
Calls

54 calls:

TimeVariablePointExpression
4.0ms
beta
@0
(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
4.0ms
beta
@0
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
1.0ms
beta
@-inf
(/.f64 beta (+.f64 2 beta))
1.0ms
beta
@-inf
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))
1.0ms
alpha
@0
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)

rewrite143.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
294×associate-*r*
238×log1p-expm1-u
238×expm1-log1p-u
233×add-cube-cbrt
231×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025355
1489303
Stop Event
node limit
Counts
10 → 419
Calls
Call 1
Inputs
(-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)
(/.f64 beta (+.f64 beta (+.f64 alpha 2)))
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))
(/.f64 beta (+.f64 2 beta))
(+.f64 (/.f64 beta (+.f64 2 beta)) 1)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1)
(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha))
(/.f64 1 (+.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)))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)))
(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))
(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 (exp.f64 (log1p.f64 (/.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 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) beta)
(*.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 (pow.f64 (cbrt.f64 beta) 2) (*.f64 (cbrt.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 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -1/2) (/.f64 beta (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (sqrt.f64 beta) (*.f64 (sqrt.f64 beta) (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (neg.f64 beta) (/.f64 1 (neg.f64 (+.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 (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 (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 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2))) (/.f64 1 (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (*.f64 beta (pow.f64 (+.f64 alpha (+.f64 beta 2)) -1/2)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -1/2))
(*.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 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 2)
(pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta) -1)
(neg.f64 (/.f64 beta (neg.f64 (+.f64 alpha (+.f64 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)))))
(log1p.f64 (expm1.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))
(-.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1) 1)
(*.f64 alpha (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1)
(*.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) alpha)
(*.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))
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(fma.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha) 1)
(fma.f64 (-.f64 beta alpha) (/.f64 1 (+.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)))) (+.f64 (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 2) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.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)))) (+.f64 (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1))
(fma.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1)
(+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (*.f64 (neg.f64 alpha) (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))
(+.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 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 2)) (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))))
(+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (*.f64 (neg.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))))
(+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (neg.f64 alpha)))
(+.f64 (/.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 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (fma.f64 (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(+.f64 (/.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 (-.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 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))
(-.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1)
(/.f64 1 (/.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (/.f64 (+.f64 alpha (+.f64 beta 2)) (cbrt.f64 (-.f64 beta alpha))))
(/.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (sqrt.f64 (-.f64 beta alpha))))
(/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (fma.f64 beta beta (*.f64 alpha (+.f64 alpha beta)))))
(/.f64 (-.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha beta)))
(/.f64 (-.f64 (neg.f64 beta) (neg.f64 alpha)) (neg.f64 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (-.f64 (*.f64 beta (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 alpha (+.f64 beta 2)) alpha)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))
(/.f64 (-.f64 (*.f64 beta (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha)) (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha)))
(/.f64 (-.f64 (*.f64 beta (neg.f64 (+.f64 alpha (+.f64 beta 2)))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (neg.f64 alpha))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (neg.f64 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (-.f64 (+.f64 alpha (+.f64 beta 2)) (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta) alpha)) (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (-.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta) 1)) (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta) (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha)))
(/.f64 (-.f64 (neg.f64 (+.f64 alpha (+.f64 beta 2))) (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta) (neg.f64 alpha))) (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta) (neg.f64 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (-.f64 (*.f64 (neg.f64 beta) (+.f64 alpha (+.f64 beta 2))) (*.f64 (neg.f64 (+.f64 alpha (+.f64 beta 2))) alpha)) (*.f64 (neg.f64 (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (-.f64 (*.f64 (neg.f64 beta) (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha)) (*.f64 (neg.f64 (+.f64 alpha (+.f64 beta 2))) 1)) (*.f64 (neg.f64 (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha)))
(/.f64 (-.f64 (*.f64 (neg.f64 beta) (neg.f64 (+.f64 alpha (+.f64 beta 2)))) (*.f64 (neg.f64 (+.f64 alpha (+.f64 beta 2))) (neg.f64 alpha))) (*.f64 (neg.f64 (+.f64 alpha (+.f64 beta 2))) (neg.f64 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (*.f64 -1 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (*.f64 (neg.f64 (+.f64 alpha (+.f64 beta 2))) (fma.f64 beta beta (*.f64 alpha (+.f64 alpha beta)))))
(/.f64 (*.f64 -1 (-.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 (neg.f64 (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha beta)))
(/.f64 (*.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) 1) (*.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 alpha beta))) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (*.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) -1) (*.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 alpha beta))) (neg.f64 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (*.f64 (-.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) 1) (*.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (*.f64 (-.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) -1) (*.f64 (+.f64 alpha beta) (neg.f64 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (neg.f64 (-.f64 beta alpha)) (neg.f64 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (*.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)) (+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (fma.f64 beta beta (*.f64 alpha (+.f64 alpha beta))))
(/.f64 (*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (+.f64 alpha beta))
(/.f64 (*.f64 (-.f64 beta alpha) -1) (neg.f64 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (*.f64 -1 (-.f64 beta alpha)) (neg.f64 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (*.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (/.f64 1 (+.f64 alpha (+.f64 beta 2)))) (fma.f64 beta beta (*.f64 alpha (+.f64 alpha beta))))
(/.f64 (*.f64 (-.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (/.f64 1 (+.f64 alpha (+.f64 beta 2)))) (+.f64 alpha beta))
(/.f64 (/.f64 (-.f64 beta alpha) 1) (+.f64 alpha (+.f64 beta 2)))
(/.f64 (/.f64 (-.f64 beta alpha) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (cbrt.f64 (+.f64 alpha (+.f64 beta 2))))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 2)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(log.f64 (/.f64 (exp.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (exp.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
(exp.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1))
(fma.f64 beta (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(fma.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 2) (cbrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))))) 1)
(*.f64 1 (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) 1)
(*.f64 -1 (/.f64 1 (neg.f64 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))) (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)) (/.f64 1 (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -1/2) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) -1))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) -1) (pow.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) -1))
(*.f64 (/.f64 1 (+.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 1 (-.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)))
(pow.f64 (+.f64 alpha (+.f64 beta 2)) -1)
(pow.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) 3) 1/3)
(pow.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -1/2) 2)
(sqrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 alpha (+.f64 beta 2)))))
(exp.f64 (*.f64 (log.f64 (+.f64 alpha (+.f64 beta 2))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 alpha (+.f64 beta 2)))) 1))

simplify351.0ms (3.3%)

Algorithm
egg-herbie
Rules
1632×fma-define
876×times-frac
618×distribute-lft-in
478×sub-neg
470×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0119441349
1353839975
Stop Event
node limit
Counts
623 → 857
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 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)))))
(/.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 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 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 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 (+.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)))
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(/.f64 (-.f64 (+.f64 alpha (+.f64 beta 2)) (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta) alpha)) (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (-.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta) 1)) (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta) (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha)))
(/.f64 (-.f64 (neg.f64 (+.f64 alpha (+.f64 beta 2))) (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta) (neg.f64 alpha))) (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta) (neg.f64 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (-.f64 (*.f64 (neg.f64 beta) (+.f64 alpha (+.f64 beta 2))) (*.f64 (neg.f64 (+.f64 alpha (+.f64 beta 2))) alpha)) (*.f64 (neg.f64 (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (-.f64 (*.f64 (neg.f64 beta) (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha)) (*.f64 (neg.f64 (+.f64 alpha (+.f64 beta 2))) 1)) (*.f64 (neg.f64 (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha)))
(/.f64 (-.f64 (*.f64 (neg.f64 beta) (neg.f64 (+.f64 alpha (+.f64 beta 2)))) (*.f64 (neg.f64 (+.f64 alpha (+.f64 beta 2))) (neg.f64 alpha))) (*.f64 (neg.f64 (+.f64 alpha (+.f64 beta 2))) (neg.f64 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (*.f64 -1 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (*.f64 (neg.f64 (+.f64 alpha (+.f64 beta 2))) (fma.f64 beta beta (*.f64 alpha (+.f64 alpha beta)))))
(/.f64 (*.f64 -1 (-.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 (neg.f64 (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha beta)))
(/.f64 (*.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) 1) (*.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 alpha beta))) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (*.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) -1) (*.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 alpha beta))) (neg.f64 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (*.f64 (-.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) 1) (*.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (*.f64 (-.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) -1) (*.f64 (+.f64 alpha beta) (neg.f64 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (neg.f64 (-.f64 beta alpha)) (neg.f64 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (*.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)) (+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (fma.f64 beta beta (*.f64 alpha (+.f64 alpha beta))))
(/.f64 (*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (+.f64 alpha beta))
(/.f64 (*.f64 (-.f64 beta alpha) -1) (neg.f64 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (*.f64 -1 (-.f64 beta alpha)) (neg.f64 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (*.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (/.f64 1 (+.f64 alpha (+.f64 beta 2)))) (fma.f64 beta beta (*.f64 alpha (+.f64 alpha beta))))
(/.f64 (*.f64 (-.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (/.f64 1 (+.f64 alpha (+.f64 beta 2)))) (+.f64 alpha beta))
(/.f64 (/.f64 (-.f64 beta alpha) 1) (+.f64 alpha (+.f64 beta 2)))
(/.f64 (/.f64 (-.f64 beta alpha) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (cbrt.f64 (+.f64 alpha (+.f64 beta 2))))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 2)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(log.f64 (/.f64 (exp.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (exp.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
(exp.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1))
(fma.f64 beta (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(fma.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 2) (cbrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))))) 1)
(*.f64 1 (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) 1)
(*.f64 -1 (/.f64 1 (neg.f64 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))) (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)) (/.f64 1 (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -1/2) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) -1))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) -1) (pow.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) -1))
(*.f64 (/.f64 1 (+.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 1 (-.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)))
(pow.f64 (+.f64 alpha (+.f64 beta 2)) -1)
(pow.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) 3) 1/3)
(pow.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -1/2) 2)
(sqrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 alpha (+.f64 beta 2)))))
(exp.f64 (*.f64 (log.f64 (+.f64 alpha (+.f64 beta 2))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 alpha (+.f64 beta 2)))) 1))
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))
(/.f64 (+.f64 (neg.f64 beta) -2) 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))
(/.f64 (+.f64 (neg.f64 beta) -2) 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 (*.f64 alpha beta) (pow.f64 (+.f64 alpha 2) 2))) -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 (*.f64 alpha (pow.f64 beta 2)) (pow.f64 (+.f64 alpha 2) 3))) -1)
(+.f64 (+.f64 (-.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (*.f64 alpha (pow.f64 beta 2)) (pow.f64 (+.f64 alpha 2) 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)
(+.f64 (fma.f64 -1 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 alpha 2) 2)) (fma.f64 -1 (/.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 4) (pow.f64 beta 3))) (+.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 (*.f64 alpha (pow.f64 beta 2)) (pow.f64 (+.f64 alpha 2) 3))))) -1)
(+.f64 (-.f64 (-.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 (*.f64 alpha (pow.f64 beta 2)) (pow.f64 (+.f64 alpha 2) 3))) (/.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 4) (pow.f64 beta 3)))) (/.f64 (*.f64 alpha beta) (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)
-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 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))))
(fma.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 2)) (+.f64 (/.f64 beta (+.f64 alpha 2)) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))))
(-.f64 (+.f64 (/.f64 beta (+.f64 alpha 2)) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (/.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 -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)))))
(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))))
(+.f64 1 (-.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 2) beta)))
(+.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))))
(+.f64 1 (fma.f64 -1 (/.f64 (+.f64 alpha 2) beta) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2))))
(+.f64 1 (-.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 2) beta)))
(+.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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(/.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)))
(+.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))))
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(+.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)))))
(fma.f64 -1 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 2 beta) 2)) (fma.f64 -1 (/.f64 (*.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 4)) (+.f64 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 2 beta) 3)) (/.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 (*.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 4))) (/.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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(+.f64 (-.f64 (/.f64 beta alpha) (/.f64 beta (/.f64 (pow.f64 alpha 2) (+.f64 2 beta)))) (/.f64 beta (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2))))
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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 beta (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2))))))
(-.f64 (-.f64 (+.f64 (/.f64 beta alpha) (/.f64 beta (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2)))) (/.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))))
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(+.f64 (-.f64 (/.f64 beta alpha) (/.f64 beta (/.f64 (pow.f64 alpha 2) (+.f64 2 beta)))) (/.f64 beta (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2))))
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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 beta (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2))))))
(-.f64 (-.f64 (+.f64 (/.f64 beta alpha) (/.f64 beta (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2)))) (/.f64 beta (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 2 beta) 3)))) (/.f64 beta (/.f64 (pow.f64 alpha 2) (+.f64 2 beta))))
(/.f64 alpha (+.f64 2 beta))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 beta) 2))) (/.f64 alpha (+.f64 2 beta)))
(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)))
(+.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 (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)))
(+.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)))
(+.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)))))
(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)))
(+.f64 1 (/.f64 (+.f64 (neg.f64 beta) -2) alpha))
(+.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 (fma.f64 -1 (/.f64 (+.f64 2 beta) alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))))
(+.f64 1 (+.f64 (/.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 1 (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 1 (+.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)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 beta) alpha)))
(+.f64 1 (/.f64 (+.f64 (neg.f64 beta) -2) alpha))
(+.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 (fma.f64 -1 (/.f64 (+.f64 2 beta) alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))))
(+.f64 1 (+.f64 (/.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 1 (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 1 (+.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 alpha (+.f64 2 alpha))
(/.f64 alpha (+.f64 alpha 2))
(+.f64 (*.f64 -1 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 alpha (+.f64 2 alpha)))
(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 (*.f64 alpha beta) (pow.f64 (+.f64 alpha 2) 2)))
(+.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))))
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(+.f64 (-.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (*.f64 alpha (pow.f64 beta 2)) (pow.f64 (+.f64 alpha 2) 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)))))
(fma.f64 -1 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 alpha 2) 2)) (fma.f64 -1 (/.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 4) (pow.f64 beta 3))) (+.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 (*.f64 alpha (pow.f64 beta 2)) (pow.f64 (+.f64 alpha 2) 3)))))
(-.f64 (-.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 (*.f64 alpha (pow.f64 beta 2)) (pow.f64 (+.f64 alpha 2) 3))) (/.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 4) (pow.f64 beta 3)))) (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 alpha 2) 2)))
(/.f64 alpha beta)
(+.f64 (*.f64 -1 (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2))) (/.f64 alpha beta))
(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 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))))
(+.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 alpha beta)
(+.f64 (*.f64 -1 (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2))) (/.f64 alpha beta))
(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))))
(+.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))))
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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 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)))
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(-.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 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 (+.f64 (fma.f64 beta (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) 1) (fma.f64 (pow.f64 beta 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4))) (*.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)))
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 2 (-.f64 alpha (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 2 (-.f64 alpha (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 (-.f64 2 (/.f64 (+.f64 2 (+.f64 alpha 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 -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 2 (-.f64 alpha (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 (fma.f64 alpha (pow.f64 (+.f64 alpha 2) 2) (pow.f64 (+.f64 alpha 2) 3)) (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 beta (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2))) (/.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 beta (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 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))))) (fma.f64 -1 (/.f64 beta (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2))) (+.f64 (/.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 beta (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 2 beta) 3)))) (/.f64 beta (/.f64 (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))
(/.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)))
(-.f64 (/.f64 (-.f64 -2 beta) (/.f64 (pow.f64 alpha 2) (+.f64 beta (+.f64 2 beta)))) (/.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 (*.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 (-.f64 -2 beta) (/.f64 (pow.f64 alpha 2) (+.f64 beta (+.f64 2 beta)))) (/.f64 (-.f64 (-.f64 -2 beta) 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 -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 beta (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2)))))))
(+.f64 (/.f64 (-.f64 -2 beta) (/.f64 (pow.f64 alpha 2) (+.f64 beta (+.f64 2 beta)))) (-.f64 (-.f64 (+.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 -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 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 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 (pow.f64 beta 4) -1/16 (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 1 (-.f64 (/.f64 4 (pow.f64 beta 2)) (+.f64 (/.f64 2 beta) (/.f64 8 (pow.f64 beta 3)))))
(-.f64 (+.f64 1 (+.f64 (/.f64 4 (pow.f64 beta 2)) (/.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 1 (-.f64 (/.f64 4 (pow.f64 beta 2)) (+.f64 (/.f64 2 beta) (/.f64 8 (pow.f64 beta 3)))))
(-.f64 (+.f64 1 (+.f64 (/.f64 4 (pow.f64 beta 2)) (/.f64 -2 beta))) (/.f64 8 (pow.f64 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 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 beta 1/2 (*.f64 (pow.f64 beta 3) 1/8))))
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)))))
(-.f64 (+.f64 2 (/.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)))
(+.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)))))
(-.f64 (+.f64 2 (/.f64 4 (pow.f64 beta 2))) (+.f64 (/.f64 2 beta) (/.f64 8 (pow.f64 beta 3))))
(/.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 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 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)))
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2
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2
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1
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1
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-1
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-1
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(sqrt.f64 (pow.f64 (+.f64 (+.f64 alpha beta) 2) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 1 (+.f64 (+.f64 alpha beta) 2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))))))
(/.f64 1 (+.f64 (+.f64 alpha beta) 2))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) 3))
(/.f64 1 (+.f64 (+.f64 alpha beta) 2))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (+.f64 alpha beta) 2))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 1 (+.f64 (+.f64 alpha beta) 2))
(exp.f64 (neg.f64 (log.f64 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 1 (+.f64 (+.f64 alpha beta) 2))
(exp.f64 (*.f64 (log.f64 (+.f64 alpha (+.f64 beta 2))) -1))
(/.f64 1 (+.f64 (+.f64 alpha beta) 2))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 alpha (+.f64 beta 2)))) 1))
(/.f64 1 (+.f64 (+.f64 alpha beta) 2))

eval787.0ms (7.3%)

Compiler

Compiled 23802 to 16902 computations (29% saved)

prune334.0ms (3.1%)

Pruning

15 alts after pruning (9 fresh and 6 done)

PrunedKeptTotal
New8498857
Fresh617
Picked055
Done011
Total85515870
Accuracy
100.0%
Counts
870 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.5%
(/.f64 (fma.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha) 1) 2)
27.3%
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
8.5%
(/.f64 (/.f64 (*.f64 2 beta) alpha) 2)
23.2%
(/.f64 (/.f64 2 alpha) 2)
25.6%
(/.f64 (-.f64 (/.f64 (-.f64 -2 beta) (/.f64 (pow.f64 alpha 2) (+.f64 beta (+.f64 2 beta)))) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 2)
77.6%
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
23.7%
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.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))))) 2)
30.6%
(/.f64 (-.f64 2 (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta)) 2)
30.7%
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
50.6%
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
76.9%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
75.1%
(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
76.9%
(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2)
47.6%
(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
38.3%
(/.f64 2 2)
Compiler

Compiled 372 to 290 computations (22% saved)

localize361.0ms (3.3%)

Localize:

Found 9 expressions with local error:

NewAccuracyProgram
100.0%
(+.f64 beta (+.f64 2 beta))
99.9%
(/.f64 (-.f64 -2 beta) (/.f64 (pow.f64 alpha 2) (+.f64 beta (+.f64 2 beta))))
96.3%
(/.f64 (pow.f64 alpha 2) (+.f64 beta (+.f64 2 beta)))
95.3%
(-.f64 (/.f64 (-.f64 -2 beta) (/.f64 (pow.f64 alpha 2) (+.f64 beta (+.f64 2 beta)))) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha))
70.8%
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
100.0%
(-.f64 2 (/.f64 2 beta))
99.7%
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
100.0%
(/.f64 1 (+.f64 alpha (+.f64 beta 2)))
76.5%
(fma.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha) 1)
Compiler

Compiled 201 to 134 computations (33.3% saved)

series89.0ms (0.8%)

Counts
9 → 168
Calls

42 calls:

TimeVariablePointExpression
5.0ms
alpha
@0
(-.f64 (/.f64 (-.f64 -2 beta) (/.f64 (pow.f64 alpha 2) (+.f64 beta (+.f64 2 beta)))) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha))
2.0ms
beta
@0
(-.f64 (/.f64 (-.f64 -2 beta) (/.f64 (pow.f64 alpha 2) (+.f64 beta (+.f64 2 beta)))) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha))
2.0ms
beta
@-inf
(-.f64 (/.f64 (-.f64 -2 beta) (/.f64 (pow.f64 alpha 2) (+.f64 beta (+.f64 2 beta)))) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha))
1.0ms
beta
@inf
(-.f64 (/.f64 (-.f64 -2 beta) (/.f64 (pow.f64 alpha 2) (+.f64 beta (+.f64 2 beta)))) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha))
1.0ms
alpha
@0
(/.f64 (pow.f64 alpha 2) (+.f64 beta (+.f64 2 beta)))

rewrite115.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
300×log1p-expm1-u
300×expm1-log1p-u
297×add-cube-cbrt
294×add-exp-log
294×frac-times
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031317
1631317
Stop Event
node limit
Counts
9 → 236
Calls
Call 1
Inputs
(fma.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha) 1)
(/.f64 1 (+.f64 alpha (+.f64 beta 2)))
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
(-.f64 2 (/.f64 2 beta))
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(-.f64 (/.f64 (-.f64 -2 beta) (/.f64 (pow.f64 alpha 2) (+.f64 beta (+.f64 2 beta)))) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha))
(/.f64 (pow.f64 alpha 2) (+.f64 beta (+.f64 2 beta)))
(/.f64 (-.f64 -2 beta) (/.f64 (pow.f64 alpha 2) (+.f64 beta (+.f64 2 beta))))
(+.f64 beta (+.f64 2 beta))
Outputs
(+.f64 (*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha)) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha) 1))) 1)
(*.f64 1 (fma.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha) 1))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha) 1)) 2) (cbrt.f64 (fma.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha) 1)))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha) 1)) (sqrt.f64 (fma.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha) 1)))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha)) 3) 1) (+.f64 (*.f64 (*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha)) (*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha)) 1))))
(pow.f64 (fma.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha) 1) 1)
(pow.f64 (cbrt.f64 (fma.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha) 1)) 3)
(pow.f64 (pow.f64 (fma.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha) 1) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha) 1)) 2)
(sqrt.f64 (pow.f64 (fma.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha) 1) 2))
(log.f64 (exp.f64 (fma.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha) 1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha) 1))))
(cbrt.f64 (pow.f64 (fma.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha) 1) 3))
(expm1.f64 (log1p.f64 (fma.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha) 1)))
(log1p.f64 (expm1.f64 (fma.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha) 1)))
(exp.f64 (log.f64 (fma.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha) 1)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha) 1)) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))))) 1)
(*.f64 1 (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)) (/.f64 1 (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -1/2) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) -1))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) -1) (pow.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) -1))
(pow.f64 (+.f64 alpha (+.f64 beta 2)) -1)
(pow.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) 3) 1/3)
(pow.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -1/2) 2)
(pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) 1) -1)
(sqrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 alpha (+.f64 beta 2)))))
(exp.f64 (*.f64 (log.f64 (+.f64 alpha (+.f64 beta 2))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 alpha (+.f64 beta 2)))) 1))
(-.f64 1 (/.f64 (/.f64 2 beta) 2))
(-.f64 (exp.f64 (log1p.f64 (-.f64 1 (/.f64 (/.f64 2 beta) 2)))) 1)
(*.f64 1 (-.f64 1 (/.f64 (/.f64 2 beta) 2)))
(*.f64 (-.f64 2 (/.f64 2 beta)) 1/2)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (/.f64 2 beta) 2))) 2) (cbrt.f64 (-.f64 1 (/.f64 (/.f64 2 beta) 2))))
(*.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 2 beta) 2))) (sqrt.f64 (-.f64 1 (/.f64 (/.f64 2 beta) 2))))
(pow.f64 (-.f64 1 (/.f64 (/.f64 2 beta) 2)) 1)
(pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (/.f64 2 beta) 2))) 3)
(pow.f64 (pow.f64 (-.f64 1 (/.f64 (/.f64 2 beta) 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 2 beta) 2))) 2)
(pow.f64 (/.f64 2 (-.f64 2 (/.f64 2 beta))) -1)
(sqrt.f64 (/.f64 (pow.f64 (-.f64 2 (/.f64 2 beta)) 2) 4))
(log.f64 (sqrt.f64 (exp.f64 (-.f64 2 (/.f64 2 beta)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (/.f64 (/.f64 2 beta) 2)))))
(cbrt.f64 (pow.f64 (-.f64 1 (/.f64 (/.f64 2 beta) 2)) 3))
(expm1.f64 (log1p.f64 (-.f64 1 (/.f64 (/.f64 2 beta) 2))))
(log1p.f64 (expm1.f64 (-.f64 1 (/.f64 (/.f64 2 beta) 2))))
(exp.f64 (log.f64 (-.f64 1 (/.f64 (/.f64 2 beta) 2))))
(exp.f64 (*.f64 (log.f64 (-.f64 1 (/.f64 (/.f64 2 beta) 2))) 1))
(+.f64 2 (neg.f64 (/.f64 2 beta)))
(*.f64 1 (-.f64 2 (/.f64 2 beta)))
(*.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 4 (+.f64 (/.f64 4 (pow.f64 beta 2)) (*.f64 2 (/.f64 2 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 4 (+.f64 (/.f64 4 (pow.f64 beta 2)) (*.f64 2 (/.f64 2 beta))))))
(/.f64 (neg.f64 (-.f64 4 (/.f64 4 (pow.f64 beta 2)))) (neg.f64 (+.f64 2 (/.f64 2 beta))))
(/.f64 (+.f64 8 (pow.f64 (neg.f64 (/.f64 2 beta)) 3)) (+.f64 4 (-.f64 (*.f64 (neg.f64 (/.f64 2 beta)) (neg.f64 (/.f64 2 beta))) (*.f64 2 (neg.f64 (/.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))))
(log1p.f64 (expm1.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))
(+.f64 1 (neg.f64 (/.f64 alpha (+.f64 alpha 2))))
(*.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 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 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) (/.f64 alpha (+.f64 alpha 2)))))
(/.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 (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) (/.f64 alpha (+.f64 alpha 2))))))
(/.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 (neg.f64 (/.f64 alpha (+.f64 alpha 2))) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (/.f64 alpha (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 alpha 2)))) (*.f64 1 (neg.f64 (/.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)))))
(log1p.f64 (expm1.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(exp.f64 (log1p.f64 (neg.f64 (/.f64 alpha (+.f64 alpha 2)))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (/.f64 alpha (+.f64 alpha 2)))) 1))
(+.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 beta (+.f64 beta 2))) (neg.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha)))
(+.f64 (fma.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 beta (+.f64 beta 2)) (neg.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha))) (sqrt.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha)) (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha)))
(+.f64 (fma.f64 1 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 beta (+.f64 beta 2))) (neg.f64 (*.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha) 1))) (fma.f64 (neg.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha)) 1 (*.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha) 1)))
(+.f64 (fma.f64 1 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 beta (+.f64 beta 2))) (neg.f64 (*.f64 (/.f64 1 alpha) (-.f64 -2 (+.f64 beta beta))))) (fma.f64 (neg.f64 (/.f64 1 alpha)) (-.f64 -2 (+.f64 beta beta)) (*.f64 (/.f64 1 alpha) (-.f64 -2 (+.f64 beta beta)))))
(+.f64 (fma.f64 1 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 beta (+.f64 beta 2))) (neg.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha)) 2) (*.f64 (cbrt.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha)) 2))))
(+.f64 (fma.f64 (-.f64 -2 beta) (/.f64 1 (/.f64 (pow.f64 alpha 2) (+.f64 beta (+.f64 beta 2)))) (neg.f64 (*.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha) 1))) (fma.f64 (neg.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha)) 1 (*.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha) 1)))
(+.f64 (fma.f64 (-.f64 -2 beta) (/.f64 1 (/.f64 (pow.f64 alpha 2) (+.f64 beta (+.f64 beta 2)))) (neg.f64 (*.f64 (/.f64 1 alpha) (-.f64 -2 (+.f64 beta beta))))) (fma.f64 (neg.f64 (/.f64 1 alpha)) (-.f64 -2 (+.f64 beta beta)) (*.f64 (/.f64 1 alpha) (-.f64 -2 (+.f64 beta beta)))))
(+.f64 (fma.f64 (-.f64 -2 beta) (/.f64 1 (/.f64 (pow.f64 alpha 2) (+.f64 beta (+.f64 beta 2)))) (neg.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha)) 2) (*.f64 (cbrt.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha)) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 beta (+.f64 beta 2)))) 2) (cbrt.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 beta (+.f64 beta 2)))) (neg.f64 (*.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha) 1))) (fma.f64 (neg.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha)) 1 (*.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 beta (+.f64 beta 2)))) 2) (cbrt.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 beta (+.f64 beta 2)))) (neg.f64 (*.f64 (/.f64 1 alpha) (-.f64 -2 (+.f64 beta beta))))) (fma.f64 (neg.f64 (/.f64 1 alpha)) (-.f64 -2 (+.f64 beta beta)) (*.f64 (/.f64 1 alpha) (-.f64 -2 (+.f64 beta beta)))))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) (/.f64 alpha (sqrt.f64 (+.f64 beta (+.f64 beta 2))))) (/.f64 (cbrt.f64 (-.f64 -2 beta)) (/.f64 alpha (sqrt.f64 (+.f64 beta (+.f64 beta 2))))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 -2 beta)) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta (+.f64 beta 2)))) 2)) (/.f64 (sqrt.f64 (-.f64 -2 beta)) (cbrt.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta (+.f64 beta 2))))))
(pow.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 beta (+.f64 beta 2))) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 beta (+.f64 beta 2)))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 beta (+.f64 beta 2))) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (-.f64 -2 beta)) (/.f64 alpha (sqrt.f64 (+.f64 beta (+.f64 beta 2))))) 2)
(pow.f64 (/.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta (+.f64 beta 2))) (-.f64 -2 beta)) -1)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 beta (+.f64 beta 2))) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2))) (+.f64 beta (+.f64 beta 2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 beta (+.f64 beta 2))))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 beta (+.f64 beta 2))) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 beta (+.f64 beta 2)))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 beta (+.f64 beta 2)))))
(exp.f64 (log.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 beta (+.f64 beta 2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 beta (+.f64 beta 2)))) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 beta (+.f64 beta 2)))) 1)
(-.f64 (/.f64 (pow.f64 beta 2) (-.f64 beta (+.f64 beta 2))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 beta (+.f64 beta 2))))
(*.f64 1 (+.f64 beta (+.f64 beta 2)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta 2))) 2) (cbrt.f64 (+.f64 beta (+.f64 beta 2))))
(*.f64 (sqrt.f64 (+.f64 beta (+.f64 beta 2))) (sqrt.f64 (+.f64 beta (+.f64 beta 2))))
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)) (fma.f64 beta beta (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2)))))
(/.f64 (-.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) (-.f64 beta (+.f64 beta 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (neg.f64 (fma.f64 beta beta (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2))) (neg.f64 (-.f64 beta (+.f64 beta 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 beta 3)) (+.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 (pow.f64 beta 2) (*.f64 (+.f64 beta 2) beta))))
(pow.f64 (+.f64 beta (+.f64 beta 2)) 1)
(pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta 2))) 3)
(pow.f64 (pow.f64 (+.f64 beta (+.f64 beta 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 beta (+.f64 beta 2))) 2)
(sqrt.f64 (pow.f64 (+.f64 beta (+.f64 beta 2)) 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 beta (+.f64 beta 2)) 3))
(expm1.f64 (log1p.f64 (+.f64 beta (+.f64 beta 2))))
(log1p.f64 (expm1.f64 (+.f64 beta (+.f64 beta 2))))
(exp.f64 (log.f64 (+.f64 beta (+.f64 beta 2))))
(exp.f64 (*.f64 (log.f64 (+.f64 beta (+.f64 beta 2))) 1))
(fma.f64 1 beta (+.f64 beta 2))
(fma.f64 1 (+.f64 beta 2) beta)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (cbrt.f64 (+.f64 beta 2)) beta)
(fma.f64 (pow.f64 (cbrt.f64 beta) 2) (cbrt.f64 beta) (+.f64 beta 2))
(fma.f64 (sqrt.f64 (+.f64 beta 2)) (sqrt.f64 (+.f64 beta 2)) beta)
(fma.f64 (sqrt.f64 beta) (sqrt.f64 beta) (+.f64 beta 2))

simplify234.0ms (2.2%)

Algorithm
egg-herbie
Rules
982×associate-*r*
934×fma-define
814×times-frac
442×associate-+r+
428×associate-+l+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
086923113
1259120407
Stop Event
node limit
Counts
404 → 542
Calls
Call 1
Inputs
(+.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 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 2 beta))
(+.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 beta) 2))) (/.f64 1 (+.f64 2 beta)))
(+.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 beta) 2))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 beta) 3))))
(+.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 beta) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 4))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 beta) 3)))))
(/.f64 1 alpha)
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 beta) (pow.f64 alpha 2))) (/.f64 1 alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 beta) (pow.f64 alpha 2))) (+.f64 (/.f64 1 alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 beta) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 4))) (+.f64 (/.f64 1 alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3)))))
(/.f64 1 alpha)
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 beta) (pow.f64 alpha 2))) (/.f64 1 alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 beta) (pow.f64 alpha 2))) (+.f64 (/.f64 1 alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 beta) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 4))) (+.f64 (/.f64 1 alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3)))))
(/.f64 1 (+.f64 2 alpha))
(+.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (/.f64 1 (+.f64 2 alpha)))
(+.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 3))))
(+.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 3)))))
(/.f64 1 beta)
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))) (/.f64 1 beta))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))) (+.f64 (/.f64 1 beta) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 4))) (+.f64 (/.f64 1 beta) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3)))))
(/.f64 1 beta)
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))) (/.f64 1 beta))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))) (+.f64 (/.f64 1 beta) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 4))) (+.f64 (/.f64 1 beta) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3)))))
(/.f64 -1 beta)
(-.f64 1 (/.f64 1 beta))
(-.f64 1 (/.f64 1 beta))
(-.f64 1 (/.f64 1 beta))
1
(-.f64 1 (/.f64 1 beta))
(-.f64 1 (/.f64 1 beta))
(-.f64 1 (/.f64 1 beta))
1
(-.f64 1 (/.f64 1 beta))
(-.f64 1 (/.f64 1 beta))
(-.f64 1 (/.f64 1 beta))
(/.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)))
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 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2)))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 -1 (*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))) (*.f64 2 (/.f64 1 alpha)))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))) (*.f64 2 (/.f64 1 alpha)))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(*.f64 -1 (/.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (*.f64 2 beta))) (pow.f64 alpha 2)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (*.f64 2 beta))) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (*.f64 2 beta))) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (*.f64 2 beta))) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))))
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (*.f64 2 beta))) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (*.f64 2 beta))) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (*.f64 2 beta))) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))))
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
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2
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(*.f64 (/.f64 (sqrt.f64 (-.f64 -2 beta)) 1) (/.f64 (sqrt.f64 (-.f64 -2 beta)) (/.f64 (pow.f64 alpha 2) (+.f64 beta (+.f64 beta 2)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 -2 beta)) (pow.f64 alpha 2)) (/.f64 (sqrt.f64 (-.f64 -2 beta)) (/.f64 1 (+.f64 beta (+.f64 beta 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) (pow.f64 alpha 2)) (/.f64 (cbrt.f64 (-.f64 -2 beta)) (/.f64 1 (+.f64 beta (+.f64 beta 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta (+.f64 beta 2)))) 2)) (cbrt.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 beta (+.f64 beta 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) (/.f64 alpha (sqrt.f64 (+.f64 beta (+.f64 beta 2))))) (/.f64 (cbrt.f64 (-.f64 -2 beta)) (/.f64 alpha (sqrt.f64 (+.f64 beta (+.f64 beta 2))))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 -2 beta)) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta (+.f64 beta 2)))) 2)) (/.f64 (sqrt.f64 (-.f64 -2 beta)) (cbrt.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta (+.f64 beta 2))))))
(pow.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 beta (+.f64 beta 2))) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 beta (+.f64 beta 2)))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 beta (+.f64 beta 2))) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (-.f64 -2 beta)) (/.f64 alpha (sqrt.f64 (+.f64 beta (+.f64 beta 2))))) 2)
(pow.f64 (/.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta (+.f64 beta 2))) (-.f64 -2 beta)) -1)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 beta (+.f64 beta 2))) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2))) (+.f64 beta (+.f64 beta 2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 beta (+.f64 beta 2))))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 beta (+.f64 beta 2))) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 beta (+.f64 beta 2)))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 beta (+.f64 beta 2)))))
(exp.f64 (log.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 beta (+.f64 beta 2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 beta (+.f64 beta 2)))) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 beta (+.f64 beta 2)))) 1)
(-.f64 (/.f64 (pow.f64 beta 2) (-.f64 beta (+.f64 beta 2))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 beta (+.f64 beta 2))))
(*.f64 1 (+.f64 beta (+.f64 beta 2)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta 2))) 2) (cbrt.f64 (+.f64 beta (+.f64 beta 2))))
(*.f64 (sqrt.f64 (+.f64 beta (+.f64 beta 2))) (sqrt.f64 (+.f64 beta (+.f64 beta 2))))
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)) (fma.f64 beta beta (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2)))))
(/.f64 (-.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) (-.f64 beta (+.f64 beta 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (neg.f64 (fma.f64 beta beta (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2))) (neg.f64 (-.f64 beta (+.f64 beta 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 beta 3)) (+.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 (pow.f64 beta 2) (*.f64 (+.f64 beta 2) beta))))
(pow.f64 (+.f64 beta (+.f64 beta 2)) 1)
(pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta 2))) 3)
(pow.f64 (pow.f64 (+.f64 beta (+.f64 beta 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 beta (+.f64 beta 2))) 2)
(sqrt.f64 (pow.f64 (+.f64 beta (+.f64 beta 2)) 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 beta (+.f64 beta 2)) 3))
(expm1.f64 (log1p.f64 (+.f64 beta (+.f64 beta 2))))
(log1p.f64 (expm1.f64 (+.f64 beta (+.f64 beta 2))))
(exp.f64 (log.f64 (+.f64 beta (+.f64 beta 2))))
(exp.f64 (*.f64 (log.f64 (+.f64 beta (+.f64 beta 2))) 1))
(fma.f64 1 beta (+.f64 beta 2))
(fma.f64 1 (+.f64 beta 2) beta)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (cbrt.f64 (+.f64 beta 2)) beta)
(fma.f64 (pow.f64 (cbrt.f64 beta) 2) (cbrt.f64 beta) (+.f64 beta 2))
(fma.f64 (sqrt.f64 (+.f64 beta 2)) (sqrt.f64 (+.f64 beta 2)) beta)
(fma.f64 (sqrt.f64 beta) (sqrt.f64 beta) (+.f64 beta 2))
Outputs
(+.f64 1 (/.f64 beta (+.f64 2 beta)))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(+.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 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (/.f64 beta (+.f64 beta 2))))
(+.f64 1 (-.f64 (/.f64 beta (+.f64 beta 2)) (*.f64 alpha (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 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 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (fma.f64 (pow.f64 alpha 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 beta 2) 3))) (/.f64 beta (+.f64 beta 2)))))
(+.f64 1 (-.f64 (fma.f64 (pow.f64 alpha 2) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (/.f64 beta (+.f64 beta 2))) (*.f64 alpha (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))))))
(+.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 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (fma.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))) (fma.f64 (pow.f64 alpha 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 beta 2) 3))) (/.f64 beta (+.f64 beta 2))))))
(+.f64 (-.f64 1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))))) (-.f64 (fma.f64 (pow.f64 alpha 2) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (/.f64 beta (+.f64 beta 2))) (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))))
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 2 (*.f64 beta 2)) alpha)
(/.f64 (fma.f64 beta 2 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 beta 2) 2) (pow.f64 alpha 2)) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) (/.f64 beta (/.f64 (pow.f64 alpha 2) (+.f64 beta 2))))
(+.f64 (-.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (/.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 (fma.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (+.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))) (fma.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (/.f64 beta (/.f64 (pow.f64 alpha 2) (+.f64 beta 2)))))
(-.f64 (+.f64 (-.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (-.f64 (/.f64 beta (/.f64 (pow.f64 alpha 2) (+.f64 beta 2))) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 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 beta 2) 2) (pow.f64 alpha 2)) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (+.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))) (+.f64 (fma.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (/.f64 beta (/.f64 (pow.f64 alpha 2) (+.f64 beta 2)))) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4))))
(-.f64 (-.f64 (-.f64 (+.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (-.f64 (/.f64 beta (/.f64 (pow.f64 alpha 2) (+.f64 beta 2))) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (/.f64 beta (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 3)))))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha))
(/.f64 (+.f64 2 (*.f64 beta 2)) alpha)
(/.f64 (fma.f64 beta 2 2) 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 beta 2) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2)) (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha)))
(fma.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (fma.f64 beta 2 2) (/.f64 (fma.f64 beta 2 2) 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 beta 2) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2)) (fma.f64 -1 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))
(+.f64 (+.f64 (fma.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (fma.f64 beta 2 2) (/.f64 (fma.f64 beta 2 2) alpha)) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (/.f64 (pow.f64 (+.f64 beta 2) 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))))))
(fma.f64 -1 (/.f64 (fma.f64 beta (+.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2)) (fma.f64 -1 (/.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) 3) (pow.f64 (+.f64 beta 2) 4)) (pow.f64 alpha 4)) (fma.f64 -1 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))))
(+.f64 (+.f64 (+.f64 (fma.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (fma.f64 beta 2 2) (/.f64 (fma.f64 beta 2 2) alpha)) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (/.f64 (neg.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) 3) (pow.f64 (+.f64 beta 2) 4))) (pow.f64 alpha 4)))
(-.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 (fma.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) 1) (/.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 (fma.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (*.f64 (pow.f64 beta 2) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha)))
(+.f64 (fma.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) 1) (-.f64 (*.f64 (pow.f64 beta 2) (fma.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)))
(-.f64 (+.f64 1 (fma.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (fma.f64 (pow.f64 beta 2) (-.f64 (/.f64 (neg.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 (fma.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) 1) (-.f64 (fma.f64 (pow.f64 beta 2) (fma.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 2 (neg.f64 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)))
(-.f64 2 (/.f64 (fma.f64 2 alpha 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 2 alpha)) beta) (/.f64 alpha (/.f64 (pow.f64 beta 2) (+.f64 2 alpha)))) (neg.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))
(+.f64 2 (+.f64 (-.f64 (/.f64 alpha (/.f64 (pow.f64 beta 2) (+.f64 2 alpha))) (/.f64 (fma.f64 2 alpha 2) beta)) (/.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))))
(+.f64 2 (-.f64 (fma.f64 -1 (/.f64 alpha (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 2))) (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta) (/.f64 alpha (/.f64 (pow.f64 beta 2) (+.f64 2 alpha))))) (fma.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 (-.f64 (-.f64 (/.f64 alpha (/.f64 (pow.f64 beta 2) (+.f64 2 alpha))) (/.f64 (fma.f64 2 alpha 2) beta)) (/.f64 alpha (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 2)))) (-.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))
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))))
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(/.f64 1 (+.f64 beta 2))
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(/.f64 1 beta)
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(/.f64 -1 beta)
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1
(-.f64 1 (/.f64 1 beta))
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1
(-.f64 1 (/.f64 1 beta))
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(/.f64 -2 beta)
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(-.f64 2 (*.f64 2 (/.f64 1 beta)))
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(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(+.f64 2 (/.f64 -2 beta))
2
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
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(-.f64 2 (*.f64 2 (/.f64 1 beta)))
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(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(+.f64 2 (/.f64 -2 beta))
2
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
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(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(+.f64 2 (/.f64 -2 beta))
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(+.f64 2 (/.f64 -2 beta))
1
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(fma.f64 alpha -1/2 1)
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(/.f64 2 alpha)
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(/.f64 2 alpha)
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta (+.f64 beta 2)))) 2)) (cbrt.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 beta (+.f64 beta 2)))))
(*.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 2 (*.f64 beta 2)))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 alpha 2) (+.f64 2 (*.f64 beta 2)))) 2)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) (cbrt.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (fma.f64 beta 2 2)))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 alpha 2) (fma.f64 beta 2 2))) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) (/.f64 alpha (sqrt.f64 (+.f64 beta (+.f64 beta 2))))) (/.f64 (cbrt.f64 (-.f64 -2 beta)) (/.f64 alpha (sqrt.f64 (+.f64 beta (+.f64 beta 2))))))
(*.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) alpha) (sqrt.f64 (+.f64 2 (*.f64 beta 2)))) (*.f64 (/.f64 (cbrt.f64 (-.f64 -2 beta)) alpha) (sqrt.f64 (+.f64 2 (*.f64 beta 2)))))
(*.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) alpha) (sqrt.f64 (fma.f64 beta 2 2))) (*.f64 (/.f64 (cbrt.f64 (-.f64 -2 beta)) alpha) (sqrt.f64 (fma.f64 beta 2 2))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 -2 beta)) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta (+.f64 beta 2)))) 2)) (/.f64 (sqrt.f64 (-.f64 -2 beta)) (cbrt.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta (+.f64 beta 2))))))
(neg.f64 (/.f64 (+.f64 beta 2) (/.f64 (pow.f64 alpha 2) (+.f64 2 (*.f64 beta 2)))))
(*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (fma.f64 beta 2 2))
(pow.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 beta (+.f64 beta 2))) 1)
(neg.f64 (/.f64 (+.f64 beta 2) (/.f64 (pow.f64 alpha 2) (+.f64 2 (*.f64 beta 2)))))
(*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (fma.f64 beta 2 2))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 beta (+.f64 beta 2)))) 3)
(neg.f64 (/.f64 (+.f64 beta 2) (/.f64 (pow.f64 alpha 2) (+.f64 2 (*.f64 beta 2)))))
(*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (fma.f64 beta 2 2))
(pow.f64 (pow.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 beta (+.f64 beta 2))) 3) 1/3)
(neg.f64 (/.f64 (+.f64 beta 2) (/.f64 (pow.f64 alpha 2) (+.f64 2 (*.f64 beta 2)))))
(*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (fma.f64 beta 2 2))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 -2 beta)) (/.f64 alpha (sqrt.f64 (+.f64 beta (+.f64 beta 2))))) 2)
(pow.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 -2 beta)) alpha) (sqrt.f64 (+.f64 2 (*.f64 beta 2)))) 2)
(pow.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 -2 beta)) alpha) (sqrt.f64 (fma.f64 beta 2 2))) 2)
(pow.f64 (/.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta (+.f64 beta 2))) (-.f64 -2 beta)) -1)
(/.f64 1 (/.f64 (/.f64 (pow.f64 alpha 2) (+.f64 2 (*.f64 beta 2))) (-.f64 -2 beta)))
(/.f64 1 (/.f64 (pow.f64 alpha 2) (*.f64 (-.f64 -2 beta) (fma.f64 beta 2 2))))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 beta (+.f64 beta 2))) 2))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 2 (*.f64 beta 2))) 2))
(fabs.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (fma.f64 beta 2 2)))
(log.f64 (pow.f64 (exp.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2))) (+.f64 beta (+.f64 beta 2))))
(neg.f64 (/.f64 (+.f64 beta 2) (/.f64 (pow.f64 alpha 2) (+.f64 2 (*.f64 beta 2)))))
(*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (fma.f64 beta 2 2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 beta (+.f64 beta 2))))))
(neg.f64 (/.f64 (+.f64 beta 2) (/.f64 (pow.f64 alpha 2) (+.f64 2 (*.f64 beta 2)))))
(*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (fma.f64 beta 2 2))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 beta (+.f64 beta 2))) 3))
(neg.f64 (/.f64 (+.f64 beta 2) (/.f64 (pow.f64 alpha 2) (+.f64 2 (*.f64 beta 2)))))
(*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (fma.f64 beta 2 2))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 beta (+.f64 beta 2)))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 2 (*.f64 beta 2)))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (fma.f64 beta 2 2))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 beta (+.f64 beta 2)))))
(neg.f64 (/.f64 (+.f64 beta 2) (/.f64 (pow.f64 alpha 2) (+.f64 2 (*.f64 beta 2)))))
(*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (fma.f64 beta 2 2))
(exp.f64 (log.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 beta (+.f64 beta 2)))))
(neg.f64 (/.f64 (+.f64 beta 2) (/.f64 (pow.f64 alpha 2) (+.f64 2 (*.f64 beta 2)))))
(*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (fma.f64 beta 2 2))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 beta (+.f64 beta 2)))) 1))
(neg.f64 (/.f64 (+.f64 beta 2) (/.f64 (pow.f64 alpha 2) (+.f64 2 (*.f64 beta 2)))))
(*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (fma.f64 beta 2 2))
(-.f64 (exp.f64 (log1p.f64 (+.f64 beta (+.f64 beta 2)))) 1)
(expm1.f64 (log1p.f64 (+.f64 2 (*.f64 beta 2))))
(expm1.f64 (log1p.f64 (fma.f64 beta 2 2)))
(-.f64 (/.f64 (pow.f64 beta 2) (-.f64 beta (+.f64 beta 2))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 beta (+.f64 beta 2))))
(/.f64 (-.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) (-.f64 beta (+.f64 beta 2)))
(/.f64 (*.f64 (fma.f64 beta 2 2) -2) -2)
(*.f64 1 (+.f64 beta (+.f64 beta 2)))
(+.f64 2 (*.f64 beta 2))
(fma.f64 beta 2 2)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta 2))) 2) (cbrt.f64 (+.f64 beta (+.f64 beta 2))))
(+.f64 2 (*.f64 beta 2))
(fma.f64 beta 2 2)
(*.f64 (sqrt.f64 (+.f64 beta (+.f64 beta 2))) (sqrt.f64 (+.f64 beta (+.f64 beta 2))))
(+.f64 2 (*.f64 beta 2))
(fma.f64 beta 2 2)
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)) (fma.f64 beta beta (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2)))))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 beta 3)) (fma.f64 beta beta (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2)))))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 beta 3)) (fma.f64 beta beta (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) beta))))
(/.f64 (-.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) (-.f64 beta (+.f64 beta 2)))
(/.f64 (*.f64 (fma.f64 beta 2 2) -2) -2)
(/.f64 (neg.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (neg.f64 (fma.f64 beta beta (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 beta 3))) (neg.f64 (fma.f64 beta beta (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))))))
(*.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 beta 3)) (fma.f64 beta beta (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) beta)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2))) (neg.f64 (-.f64 beta (+.f64 beta 2))))
(/.f64 (neg.f64 (*.f64 (fma.f64 beta 2 2) -2)) 2)
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 beta 3)) (+.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 (pow.f64 beta 2) (*.f64 (+.f64 beta 2) beta))))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 beta 3)) (+.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 (pow.f64 beta 2) (*.f64 beta (+.f64 beta 2)))))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 beta 3)) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta -2)))
(pow.f64 (+.f64 beta (+.f64 beta 2)) 1)
(+.f64 2 (*.f64 beta 2))
(fma.f64 beta 2 2)
(pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta 2))) 3)
(+.f64 2 (*.f64 beta 2))
(fma.f64 beta 2 2)
(pow.f64 (pow.f64 (+.f64 beta (+.f64 beta 2)) 3) 1/3)
(+.f64 2 (*.f64 beta 2))
(fma.f64 beta 2 2)
(pow.f64 (sqrt.f64 (+.f64 beta (+.f64 beta 2))) 2)
(+.f64 2 (*.f64 beta 2))
(fma.f64 beta 2 2)
(sqrt.f64 (pow.f64 (+.f64 beta (+.f64 beta 2)) 2))
(sqrt.f64 (pow.f64 (+.f64 2 (*.f64 beta 2)) 2))
(fabs.f64 (fma.f64 beta 2 2))
(log.f64 (exp.f64 (+.f64 beta (+.f64 beta 2))))
(+.f64 2 (*.f64 beta 2))
(fma.f64 beta 2 2)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 beta (+.f64 beta 2)))))
(+.f64 2 (*.f64 beta 2))
(fma.f64 beta 2 2)
(cbrt.f64 (pow.f64 (+.f64 beta (+.f64 beta 2)) 3))
(+.f64 2 (*.f64 beta 2))
(fma.f64 beta 2 2)
(expm1.f64 (log1p.f64 (+.f64 beta (+.f64 beta 2))))
(expm1.f64 (log1p.f64 (+.f64 2 (*.f64 beta 2))))
(expm1.f64 (log1p.f64 (fma.f64 beta 2 2)))
(log1p.f64 (expm1.f64 (+.f64 beta (+.f64 beta 2))))
(+.f64 2 (*.f64 beta 2))
(fma.f64 beta 2 2)
(exp.f64 (log.f64 (+.f64 beta (+.f64 beta 2))))
(+.f64 2 (*.f64 beta 2))
(fma.f64 beta 2 2)
(exp.f64 (*.f64 (log.f64 (+.f64 beta (+.f64 beta 2))) 1))
(+.f64 2 (*.f64 beta 2))
(fma.f64 beta 2 2)
(fma.f64 1 beta (+.f64 beta 2))
(+.f64 2 (*.f64 beta 2))
(fma.f64 beta 2 2)
(fma.f64 1 (+.f64 beta 2) beta)
(+.f64 2 (*.f64 beta 2))
(fma.f64 beta 2 2)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (cbrt.f64 (+.f64 beta 2)) beta)
(+.f64 2 (*.f64 beta 2))
(fma.f64 beta 2 2)
(fma.f64 (pow.f64 (cbrt.f64 beta) 2) (cbrt.f64 beta) (+.f64 beta 2))
(+.f64 2 (*.f64 beta 2))
(fma.f64 beta 2 2)
(fma.f64 (sqrt.f64 (+.f64 beta 2)) (sqrt.f64 (+.f64 beta 2)) beta)
(+.f64 2 (*.f64 beta 2))
(fma.f64 beta 2 2)
(fma.f64 (sqrt.f64 beta) (sqrt.f64 beta) (+.f64 beta 2))
(+.f64 2 (*.f64 beta 2))
(fma.f64 beta 2 2)

eval415.0ms (3.8%)

Compiler

Compiled 15166 to 11240 computations (25.9% saved)

prune193.0ms (1.8%)

Pruning

17 alts after pruning (10 fresh and 7 done)

PrunedKeptTotal
New5366542
Fresh044
Picked325
Done156
Total54017557
Accuracy
100.0%
Counts
557 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.5%
(/.f64 (fma.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha) 1) 2)
75.5%
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha) 1)) 3) 2)
27.3%
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
8.5%
(/.f64 (/.f64 (*.f64 2 beta) alpha) 2)
23.2%
(/.f64 (/.f64 2 alpha) 2)
25.5%
(/.f64 (-.f64 (/.f64 (-.f64 -2 beta) (*.f64 (/.f64 alpha 1) (/.f64 alpha (+.f64 beta (+.f64 beta 2))))) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 2)
77.6%
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
23.7%
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.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))))) 2)
30.6%
(/.f64 (-.f64 2 (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta)) 2)
76.9%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
75.1%
(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
76.9%
(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2)
47.6%
(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
49.2%
(/.f64 (+.f64 1 (*.f64 alpha -1/2)) 2)
75.7%
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha) 1)) 2) (cbrt.f64 (fma.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha) 1))) 2)
30.7%
(-.f64 1 (/.f64 1 beta))
38.3%
1
Compiler

Compiled 450 to 347 computations (22.9% saved)

localize513.0ms (4.8%)

Localize:

Found 8 expressions with local error:

NewAccuracyProgram
100.0%
(+.f64 beta (+.f64 beta 2))
99.9%
(*.f64 (/.f64 alpha 1) (/.f64 alpha (+.f64 beta (+.f64 beta 2))))
99.9%
(/.f64 (-.f64 -2 beta) (*.f64 (/.f64 alpha 1) (/.f64 alpha (+.f64 beta (+.f64 beta 2)))))
95.3%
(-.f64 (/.f64 (-.f64 -2 beta) (*.f64 (/.f64 alpha 1) (/.f64 alpha (+.f64 beta (+.f64 beta 2))))) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha))
99.8%
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha) 1)) 2) (cbrt.f64 (fma.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha) 1)))
99.8%
(pow.f64 (cbrt.f64 (fma.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha) 1)) 2)
99.3%
(cbrt.f64 (fma.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha) 1))
76.5%
(fma.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha) 1)
Compiler

Compiled 275 to 180 computations (34.5% saved)

series62.0ms (0.6%)

Counts
7 → 140
Calls

39 calls:

TimeVariablePointExpression
5.0ms
beta
@-inf
(pow.f64 (cbrt.f64 (fma.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha) 1)) 2)
4.0ms
alpha
@-inf
(pow.f64 (cbrt.f64 (fma.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha) 1)) 2)
4.0ms
alpha
@inf
(cbrt.f64 (fma.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha) 1))
3.0ms
alpha
@0
(pow.f64 (cbrt.f64 (fma.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha) 1)) 2)
3.0ms
beta
@0
(pow.f64 (cbrt.f64 (fma.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha) 1)) 2)

rewrite138.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
306×frac-times
294×associate-*r*
226×log1p-expm1-u
226×add-cube-cbrt
226×expm1-log1p-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029342
1508312
Stop Event
node limit
Counts
7 → 235
Calls
Call 1
Inputs
(cbrt.f64 (fma.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha) 1))
(pow.f64 (cbrt.f64 (fma.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha) 1)) 2)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha) 1)) 2) (cbrt.f64 (fma.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha) 1)))
(-.f64 (/.f64 (-.f64 -2 beta) (*.f64 (/.f64 alpha 1) (/.f64 alpha (+.f64 beta (+.f64 beta 2))))) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha))
(/.f64 (-.f64 -2 beta) (*.f64 (/.f64 alpha 1) (/.f64 alpha (+.f64 beta (+.f64 beta 2)))))
(*.f64 (/.f64 alpha 1) (/.f64 alpha (+.f64 beta (+.f64 beta 2))))
(+.f64 beta (+.f64 beta 2))
Outputs
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)))) 1)
(*.f64 1 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 2)) (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 2)))
(*.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 1/6) (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 1/3) (pow.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 1/3))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 4))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 2))))
(pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 1/3)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 1)
(pow.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 2) 1/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 2))
(fabs.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)))
(log.f64 (exp.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))))
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(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 2 (*.f64 beta 2))) (/.f64 (-.f64 -2 (*.f64 beta 2)) alpha)))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 2 (*.f64 beta 2))) (/.f64 (-.f64 -2 (*.f64 beta 2)) alpha)) 3))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 2 (*.f64 beta 2))) (/.f64 (-.f64 -2 (*.f64 beta 2)) alpha))))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 2 (*.f64 beta 2))) (/.f64 (-.f64 -2 (*.f64 beta 2)) alpha))))
(exp.f64 (log.f64 (-.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 2 (*.f64 beta 2))) (/.f64 (-.f64 -2 (*.f64 beta 2)) alpha))))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 2 (*.f64 beta 2))) (/.f64 (-.f64 -2 (*.f64 beta 2)) alpha))) 1))
(fma.f64 1 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 2 (*.f64 beta 2))) (neg.f64 (/.f64 (-.f64 -2 (*.f64 beta 2)) alpha)))
(fma.f64 (-.f64 -2 beta) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) alpha) (neg.f64 (/.f64 (-.f64 -2 (*.f64 beta 2)) alpha)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 2 (*.f64 beta 2)))) 2) (cbrt.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 2 (*.f64 beta 2)))) (neg.f64 (/.f64 (-.f64 -2 (*.f64 beta 2)) alpha)))
(fma.f64 (/.f64 (sqrt.f64 (-.f64 -2 beta)) (/.f64 alpha (sqrt.f64 (+.f64 2 (*.f64 beta 2))))) (/.f64 (sqrt.f64 (-.f64 -2 beta)) (/.f64 alpha (sqrt.f64 (+.f64 2 (*.f64 beta 2))))) (neg.f64 (/.f64 (-.f64 -2 (*.f64 beta 2)) alpha)))
(+.f64 (*.f64 (/.f64 -2 (pow.f64 alpha 2)) (+.f64 2 (*.f64 beta 2))) (neg.f64 (*.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 2 (*.f64 beta 2)))))
(-.f64 (*.f64 (/.f64 -2 (pow.f64 alpha 2)) (+.f64 2 (*.f64 beta 2))) (*.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 2 (*.f64 beta 2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 2 (*.f64 beta 2))))) 1)
(*.f64 1 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 2 (*.f64 beta 2))))
(*.f64 (-.f64 -2 beta) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) alpha))
(*.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 2 (*.f64 beta 2))) 1)
(*.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 2 (*.f64 beta 2)))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 2 (*.f64 beta 2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 2 (*.f64 beta 2)))) 2) (cbrt.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 2 (*.f64 beta 2)))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) (*.f64 (cbrt.f64 (-.f64 -2 beta)) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) alpha)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 -2 beta)) (/.f64 alpha (sqrt.f64 (+.f64 2 (*.f64 beta 2))))) (/.f64 (sqrt.f64 (-.f64 -2 beta)) (/.f64 alpha (sqrt.f64 (+.f64 2 (*.f64 beta 2))))))
(*.f64 (sqrt.f64 (-.f64 -2 beta)) (*.f64 (sqrt.f64 (-.f64 -2 beta)) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) alpha)))
(*.f64 (neg.f64 (-.f64 -2 beta)) (/.f64 1 (/.f64 (neg.f64 (pow.f64 alpha 2)) (+.f64 2 (*.f64 beta 2)))))
(*.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 (+.f64 2 (*.f64 beta 2)) alpha))
(*.f64 (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) alpha) (-.f64 -2 beta))
(*.f64 (/.f64 1 alpha) (/.f64 (-.f64 -2 beta) (/.f64 alpha (+.f64 2 (*.f64 beta 2)))))
(*.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) (/.f64 (-.f64 -2 beta) alpha))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 alpha 2) (+.f64 2 (*.f64 beta 2)))) 2)) (/.f64 (-.f64 -2 beta) (cbrt.f64 (/.f64 (pow.f64 alpha 2) (+.f64 2 (*.f64 beta 2))))))
(*.f64 (/.f64 1 (/.f64 alpha (sqrt.f64 (+.f64 2 (*.f64 beta 2))))) (/.f64 (-.f64 -2 beta) (/.f64 alpha (sqrt.f64 (+.f64 2 (*.f64 beta 2))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) 1) (/.f64 (cbrt.f64 (-.f64 -2 beta)) (/.f64 (pow.f64 alpha 2) (+.f64 2 (*.f64 beta 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) alpha) (/.f64 (cbrt.f64 (-.f64 -2 beta)) (/.f64 alpha (+.f64 2 (*.f64 beta 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) (/.f64 alpha (+.f64 2 (*.f64 beta 2)))) (/.f64 (cbrt.f64 (-.f64 -2 beta)) alpha))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 alpha 2) (+.f64 2 (*.f64 beta 2)))) 2)) (cbrt.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 2 (*.f64 beta 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) (/.f64 alpha (sqrt.f64 (+.f64 2 (*.f64 beta 2))))) (/.f64 (cbrt.f64 (-.f64 -2 beta)) (/.f64 alpha (sqrt.f64 (+.f64 2 (*.f64 beta 2))))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 -2 beta)) 1) (/.f64 (sqrt.f64 (-.f64 -2 beta)) (/.f64 (pow.f64 alpha 2) (+.f64 2 (*.f64 beta 2)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 -2 beta)) alpha) (/.f64 (sqrt.f64 (-.f64 -2 beta)) (/.f64 alpha (+.f64 2 (*.f64 beta 2)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 -2 beta)) (/.f64 alpha (+.f64 2 (*.f64 beta 2)))) (/.f64 (sqrt.f64 (-.f64 -2 beta)) alpha))
(*.f64 (/.f64 (sqrt.f64 (-.f64 -2 beta)) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 alpha 2) (+.f64 2 (*.f64 beta 2)))) 2)) (/.f64 (sqrt.f64 (-.f64 -2 beta)) (cbrt.f64 (/.f64 (pow.f64 alpha 2) (+.f64 2 (*.f64 beta 2))))))
(*.f64 (/.f64 (/.f64 (-.f64 -2 beta) alpha) alpha) (+.f64 2 (*.f64 beta 2)))
(*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 2 (*.f64 beta 2)))
(*.f64 (/.f64 (/.f64 (-.f64 -2 beta) alpha) (neg.f64 alpha)) (+.f64 (neg.f64 (*.f64 beta 2)) -2))
(pow.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 2 (*.f64 beta 2))) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 2 (*.f64 beta 2)))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 2 (*.f64 beta 2))) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (-.f64 -2 beta)) (/.f64 alpha (sqrt.f64 (+.f64 2 (*.f64 beta 2))))) 2)
(pow.f64 (/.f64 (/.f64 (pow.f64 alpha 2) (+.f64 2 (*.f64 beta 2))) (-.f64 -2 beta)) -1)
(neg.f64 (/.f64 (-.f64 -2 beta) (/.f64 (neg.f64 (pow.f64 alpha 2)) (+.f64 2 (*.f64 beta 2)))))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 2 (*.f64 beta 2))) 2))
(log.f64 (exp.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 2 (*.f64 beta 2)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 2 (*.f64 beta 2))))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 2 (*.f64 beta 2))) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 2 (*.f64 beta 2)))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 2 (*.f64 beta 2)))))
(exp.f64 (log.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 2 (*.f64 beta 2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 2 (*.f64 beta 2)))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 alpha 2) (+.f64 2 (*.f64 beta 2))))) 1)
(/.f64 1 (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) alpha))
(/.f64 1 (*.f64 (/.f64 1 alpha) (/.f64 (+.f64 2 (*.f64 beta 2)) alpha)))
(/.f64 1 (*.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) (/.f64 1 alpha)))
(/.f64 1 (/.f64 (+.f64 2 (*.f64 beta 2)) (pow.f64 alpha 2)))
(/.f64 alpha (/.f64 (+.f64 2 (*.f64 beta 2)) alpha))
(/.f64 alpha (*.f64 (/.f64 1 alpha) (+.f64 2 (*.f64 beta 2))))
(/.f64 (/.f64 alpha (+.f64 2 (*.f64 beta 2))) (/.f64 1 alpha))
(/.f64 (/.f64 (pow.f64 alpha 2) (+.f64 2 (*.f64 beta 2))) 1)
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 alpha 2) (+.f64 2 (*.f64 beta 2)))) 2) (/.f64 1 (cbrt.f64 (/.f64 (pow.f64 alpha 2) (+.f64 2 (*.f64 beta 2))))))
(/.f64 (pow.f64 alpha 2) (+.f64 2 (*.f64 beta 2)))
(/.f64 (pow.f64 alpha 2) (*.f64 (+.f64 2 (*.f64 beta 2)) 1))
(/.f64 (/.f64 alpha (sqrt.f64 (+.f64 2 (*.f64 beta 2)))) (/.f64 1 (/.f64 alpha (sqrt.f64 (+.f64 2 (*.f64 beta 2))))))
(/.f64 (neg.f64 alpha) (*.f64 (/.f64 1 alpha) (+.f64 (neg.f64 (*.f64 beta 2)) -2)))
(/.f64 (neg.f64 alpha) (*.f64 -1 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha)))
(/.f64 (neg.f64 alpha) (*.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) -1))
(/.f64 (neg.f64 alpha) (*.f64 (+.f64 (neg.f64 (*.f64 beta 2)) -2) (/.f64 1 alpha)))
(/.f64 (/.f64 (neg.f64 (pow.f64 alpha 2)) (+.f64 2 (*.f64 beta 2))) -1)
(/.f64 (neg.f64 (pow.f64 alpha 2)) (+.f64 (neg.f64 (*.f64 beta 2)) -2))
(/.f64 (*.f64 (neg.f64 alpha) (neg.f64 alpha)) (*.f64 -1 (+.f64 (neg.f64 (*.f64 beta 2)) -2)))
(/.f64 (*.f64 (neg.f64 alpha) (neg.f64 alpha)) (*.f64 (+.f64 (neg.f64 (*.f64 beta 2)) -2) -1))
(/.f64 (*.f64 (/.f64 alpha (+.f64 2 (*.f64 beta 2))) 1) (/.f64 1 alpha))
(/.f64 (*.f64 alpha (neg.f64 alpha)) (+.f64 (neg.f64 (*.f64 beta 2)) -2))
(/.f64 (*.f64 alpha (neg.f64 alpha)) (*.f64 (+.f64 2 (*.f64 beta 2)) -1))
(/.f64 (*.f64 (neg.f64 alpha) alpha) (+.f64 (neg.f64 (*.f64 beta 2)) -2))
(/.f64 (*.f64 (neg.f64 alpha) alpha) (*.f64 (+.f64 (neg.f64 (*.f64 beta 2)) -2) 1))
(/.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (cbrt.f64 (+.f64 2 (*.f64 beta 2))) 2)) (cbrt.f64 (+.f64 2 (*.f64 beta 2))))
(/.f64 (/.f64 (pow.f64 alpha 2) (sqrt.f64 (+.f64 2 (*.f64 beta 2)))) (sqrt.f64 (+.f64 2 (*.f64 beta 2))))
(pow.f64 (/.f64 (pow.f64 alpha 2) (+.f64 2 (*.f64 beta 2))) 1)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 alpha 2) (+.f64 2 (*.f64 beta 2)))) 3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 alpha 2) (+.f64 2 (*.f64 beta 2))) 3) 1/3)
(pow.f64 (/.f64 alpha (sqrt.f64 (+.f64 2 (*.f64 beta 2)))) 2)
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 alpha 2) (+.f64 2 (*.f64 beta 2))) 2))
(log.f64 (exp.f64 (/.f64 (pow.f64 alpha 2) (+.f64 2 (*.f64 beta 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 alpha 2) (+.f64 2 (*.f64 beta 2))))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 alpha 2) (+.f64 2 (*.f64 beta 2))) 3))
(cbrt.f64 (*.f64 (pow.f64 alpha 3) (pow.f64 (/.f64 alpha (+.f64 2 (*.f64 beta 2))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 2 (*.f64 beta 2))) 3) (pow.f64 alpha 3)))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 alpha 2) (+.f64 2 (*.f64 beta 2)))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 alpha 2) (+.f64 2 (*.f64 beta 2)))))
(exp.f64 (log.f64 (/.f64 (pow.f64 alpha 2) (+.f64 2 (*.f64 beta 2)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 alpha 2) (+.f64 2 (*.f64 beta 2)))) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 2 (*.f64 beta 2)))) 1)
(-.f64 (/.f64 (pow.f64 beta 2) (-.f64 beta (+.f64 beta 2))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 beta (+.f64 beta 2))))
(*.f64 1 (+.f64 2 (*.f64 beta 2)))
(*.f64 (cbrt.f64 (+.f64 2 (*.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 2 (*.f64 beta 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2 (*.f64 beta 2))) 2) (cbrt.f64 (+.f64 2 (*.f64 beta 2))))
(*.f64 (sqrt.f64 (+.f64 2 (*.f64 beta 2))) (sqrt.f64 (+.f64 2 (*.f64 beta 2))))
(*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)) (/.f64 1 (fma.f64 beta beta (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) beta)))))
(*.f64 (-.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (-.f64 beta (+.f64 beta 2))))
(/.f64 1 (/.f64 (fma.f64 beta beta (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) beta))) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))))
(/.f64 1 (/.f64 (-.f64 beta (+.f64 beta 2)) (-.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2))))
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)) (fma.f64 beta beta (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) beta))))
(/.f64 (-.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) (-.f64 beta (+.f64 beta 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (neg.f64 (fma.f64 beta beta (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) beta)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2))) (neg.f64 (-.f64 beta (+.f64 beta 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 beta 3)) (+.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 (pow.f64 beta 2) (*.f64 (+.f64 beta 2) beta))))
(/.f64 (+.f64 (pow.f64 (*.f64 beta 2) 3) 8) (+.f64 (*.f64 (*.f64 beta 2) (*.f64 beta 2)) (-.f64 4 (*.f64 (*.f64 beta 2) 2))))
(/.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 beta 2)) (-.f64 (+.f64 beta 2) beta))
(/.f64 (-.f64 (*.f64 (*.f64 beta 2) (*.f64 beta 2)) 4) (-.f64 (*.f64 beta 2) 2))
(pow.f64 (+.f64 2 (*.f64 beta 2)) 1)
(pow.f64 (cbrt.f64 (+.f64 2 (*.f64 beta 2))) 3)
(pow.f64 (pow.f64 (+.f64 2 (*.f64 beta 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 2 (*.f64 beta 2))) 2)
(sqrt.f64 (pow.f64 (+.f64 2 (*.f64 beta 2)) 2))
(log.f64 (exp.f64 (+.f64 2 (*.f64 beta 2))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 2 (*.f64 beta 2)))))
(cbrt.f64 (pow.f64 (+.f64 2 (*.f64 beta 2)) 3))
(expm1.f64 (log1p.f64 (+.f64 2 (*.f64 beta 2))))
(log1p.f64 (expm1.f64 (+.f64 2 (*.f64 beta 2))))
(exp.f64 (log.f64 (+.f64 2 (*.f64 beta 2))))
(exp.f64 (*.f64 (log.f64 (+.f64 2 (*.f64 beta 2))) 1))
(fma.f64 1 beta (+.f64 beta 2))
(fma.f64 1 (+.f64 beta 2) beta)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (cbrt.f64 (+.f64 beta 2)) beta)
(fma.f64 (cbrt.f64 (pow.f64 beta 2)) (cbrt.f64 beta) (+.f64 beta 2))
(fma.f64 (sqrt.f64 (+.f64 beta 2)) (sqrt.f64 (+.f64 beta 2)) beta)
(fma.f64 (sqrt.f64 beta) (sqrt.f64 beta) (+.f64 beta 2))

simplify258.0ms (2.4%)

Algorithm
egg-herbie
Rules
1384×fma-define
1344×times-frac
754×distribute-lft-in
492×*-commutative
450×fma-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0102134830
1328332389
Stop Event
node limit
Counts
375 → 556
Calls
Call 1
Inputs
(pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 1/3)
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2)) 1/9) (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 1/3))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2)) 1/9) (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2)) 1/3) (*.f64 (pow.f64 alpha 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (+.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 3))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 2 beta)))) 1/9) (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2)))))))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 1/3)))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2)) 1/9) (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2)) 1/3) (*.f64 (pow.f64 alpha 3) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 5)) 1/9) (*.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (+.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 3))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 2 beta)))) 1/9) (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2)))))))) (+.f64 (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2)) 1/3) (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4)))))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2)) 1/3) (*.f64 (pow.f64 alpha 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (+.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 3))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 2 beta)))) 1/9) (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2)))))))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 1/3))))
(pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 1/3)
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2)) 1/9) (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 1/3))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2)) 1/9) (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2)) 1/3) (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) 1/9) (pow.f64 (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) 2))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))))) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 1/3)))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2)) 1/9) (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2)) 1/3) (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) 1/9) (pow.f64 (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) 2))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2)) 1/3) (*.f64 (pow.f64 beta 3) (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))) (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2)) 1/3) (pow.f64 (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) 3))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 5)) 1/9) (*.f64 (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) 1/9) (pow.f64 (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) 2))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))))))))) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 1/3))))
(cbrt.f64 2)
(+.f64 (cbrt.f64 2) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2)) 1/3) (/.f64 (+.f64 2 (*.f64 2 alpha)) beta))))
(+.f64 (cbrt.f64 2) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2)) 1/3) (/.f64 (+.f64 2 (*.f64 2 alpha)) beta))) (*.f64 1/3 (/.f64 (-.f64 (*.f64 alpha (+.f64 2 alpha)) (+.f64 (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/3) (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2))))) (*.f64 (pow.f64 beta 2) (pow.f64 (cbrt.f64 2) 2))))))
(+.f64 (cbrt.f64 2) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2)) 1/3) (/.f64 (+.f64 2 (*.f64 2 alpha)) beta))) (+.f64 (*.f64 1/3 (/.f64 (-.f64 (*.f64 -1 (*.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 5)) 1/3) (*.f64 (+.f64 2 (*.f64 2 alpha)) (-.f64 (*.f64 alpha (+.f64 2 alpha)) (+.f64 (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/3) (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2)))))))) (+.f64 (*.f64 -1/27 (/.f64 (pow.f64 (+.f64 2 (*.f64 2 alpha)) 3) (pow.f64 (cbrt.f64 2) 2))) (pow.f64 (+.f64 2 alpha) 3)))) (*.f64 (pow.f64 beta 3) (pow.f64 (cbrt.f64 2) 2)))) (*.f64 1/3 (/.f64 (-.f64 (*.f64 alpha (+.f64 2 alpha)) (+.f64 (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/3) (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2))))) (*.f64 (pow.f64 beta 2) (pow.f64 (cbrt.f64 2) 2)))))))
(cbrt.f64 2)
(+.f64 (cbrt.f64 2) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2)) 1/3) (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta))))
(+.f64 (cbrt.f64 2) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2)) 1/3) (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta))) (*.f64 1/3 (/.f64 (-.f64 (*.f64 -1 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/3) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)))) (*.f64 (pow.f64 beta 2) (pow.f64 (cbrt.f64 2) 2))))))
(+.f64 (cbrt.f64 2) (+.f64 (*.f64 -1/3 (/.f64 (-.f64 (*.f64 -1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 5)) 1/3) (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (-.f64 (*.f64 -1 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/3) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2))))))) (*.f64 -1/27 (/.f64 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 3) (pow.f64 (cbrt.f64 2) 2))))) (*.f64 (pow.f64 beta 3) (pow.f64 (cbrt.f64 2) 2)))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2)) 1/3) (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta))) (*.f64 1/3 (/.f64 (-.f64 (*.f64 -1 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/3) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)))) (*.f64 (pow.f64 beta 2) (pow.f64 (cbrt.f64 2) 2)))))))
(pow.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2) 1/3)
(+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 1 (+.f64 1 (/.f64 beta (+.f64 2 beta)))) 1/9) (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))) (pow.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2) 1/3))
(+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 1 (+.f64 1 (/.f64 beta (+.f64 2 beta)))) 1/9) (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))) (+.f64 (*.f64 (pow.f64 alpha 2) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 4)) 1/9) (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 2 beta)))) 1/3) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (+.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 3))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 2 beta)))) 1/9) (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2))))))))) (pow.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2) 1/3)))
(+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 1 (+.f64 1 (/.f64 beta (+.f64 2 beta)))) 1/9) (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))) (+.f64 (*.f64 (pow.f64 alpha 2) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 4)) 1/9) (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 2 beta)))) 1/3) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (+.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 3))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 2 beta)))) 1/9) (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2))))))))) (+.f64 (*.f64 (pow.f64 alpha 3) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 2 beta)))) 1/3) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 5)) 1/9) (*.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (+.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 3))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 2 beta)))) 1/9) (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2)))))))) (+.f64 (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2)) 1/3) (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 8)) 1/9) (*.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (+.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 3))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 2 beta)))) 1/9) (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2)))))))))) (pow.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2) 1/3))))
(pow.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) 1/3)
(+.f64 (*.f64 2/3 (*.f64 (pow.f64 (*.f64 1 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) 1/9) (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))) (pow.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) 1/3))
(+.f64 (*.f64 2/3 (*.f64 (pow.f64 (*.f64 1 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) 1/9) (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))) (+.f64 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 4)) 1/9) (pow.f64 (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) 2))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) 1/3) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) 1/9) (pow.f64 (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) 2))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))))) (pow.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) 1/3)))
(+.f64 (*.f64 2/3 (*.f64 (pow.f64 (*.f64 1 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) 1/9) (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))) (+.f64 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 4)) 1/9) (pow.f64 (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) 2))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) 1/3) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) 1/9) (pow.f64 (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) 2))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))))) (+.f64 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 8)) 1/9) (*.f64 (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) 1/9) (pow.f64 (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) 2))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) 1/3) (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))) (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2)) 1/3) (pow.f64 (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) 3))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 5)) 1/9) (*.f64 (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) 1/9) (pow.f64 (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) 2))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))))))))))) (pow.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) 1/3))))
(pow.f64 (cbrt.f64 2) 2)
(+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 1 (cbrt.f64 2)) 1/3) (/.f64 (+.f64 2 (*.f64 2 alpha)) beta))) (pow.f64 (cbrt.f64 2) 2))
(+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 1 (cbrt.f64 2)) 1/3) (/.f64 (+.f64 2 (*.f64 2 alpha)) beta))) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 4)) 1/3) (/.f64 (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2) (pow.f64 beta 2)))) (+.f64 (*.f64 2/3 (/.f64 (-.f64 (*.f64 alpha (+.f64 2 alpha)) (+.f64 (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/3) (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2))))) (*.f64 (pow.f64 beta 2) (cbrt.f64 2)))) (pow.f64 (cbrt.f64 2) 2))))
(+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 1 (cbrt.f64 2)) 1/3) (/.f64 (+.f64 2 (*.f64 2 alpha)) beta))) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 8)) 1/3) (/.f64 (*.f64 (+.f64 2 (*.f64 2 alpha)) (-.f64 (*.f64 alpha (+.f64 2 alpha)) (+.f64 (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/3) (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2)))))) (pow.f64 beta 3)))) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 4)) 1/3) (/.f64 (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2) (pow.f64 beta 2)))) (+.f64 (*.f64 2/3 (/.f64 (-.f64 (*.f64 -1 (*.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 5)) 1/3) (*.f64 (+.f64 2 (*.f64 2 alpha)) (-.f64 (*.f64 alpha (+.f64 2 alpha)) (+.f64 (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/3) (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2)))))))) (+.f64 (*.f64 -1/27 (/.f64 (pow.f64 (+.f64 2 (*.f64 2 alpha)) 3) (pow.f64 (cbrt.f64 2) 2))) (pow.f64 (+.f64 2 alpha) 3)))) (*.f64 (pow.f64 beta 3) (cbrt.f64 2)))) (+.f64 (*.f64 2/3 (/.f64 (-.f64 (*.f64 alpha (+.f64 2 alpha)) (+.f64 (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/3) (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2))))) (*.f64 (pow.f64 beta 2) (cbrt.f64 2)))) (pow.f64 (cbrt.f64 2) 2))))))
(pow.f64 (cbrt.f64 2) 2)
(+.f64 (*.f64 2/3 (*.f64 (pow.f64 (*.f64 1 (cbrt.f64 2)) 1/3) (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta))) (pow.f64 (cbrt.f64 2) 2))
(+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 4)) 1/3) (/.f64 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2) (pow.f64 beta 2)))) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (*.f64 1 (cbrt.f64 2)) 1/3) (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta))) (+.f64 (*.f64 2/3 (/.f64 (-.f64 (*.f64 -1 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/3) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)))) (*.f64 (pow.f64 beta 2) (cbrt.f64 2)))) (pow.f64 (cbrt.f64 2) 2))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 8)) 1/3) (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (-.f64 (*.f64 -1 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/3) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2))))))) (*.f64 2/3 (/.f64 (-.f64 (*.f64 -1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 5)) 1/3) (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (-.f64 (*.f64 -1 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/3) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2))))))) (*.f64 -1/27 (/.f64 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 3) (pow.f64 (cbrt.f64 2) 2))))) (cbrt.f64 2)))) (pow.f64 beta 3))) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 4)) 1/3) (/.f64 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2) (pow.f64 beta 2)))) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (*.f64 1 (cbrt.f64 2)) 1/3) (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta))) (+.f64 (*.f64 2/3 (/.f64 (-.f64 (*.f64 -1 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/3) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)))) (*.f64 (pow.f64 beta 2) (cbrt.f64 2)))) (pow.f64 (cbrt.f64 2) 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 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 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2)))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 -1 (*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))) (*.f64 2 (/.f64 1 alpha)))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))) (*.f64 2 (/.f64 1 alpha)))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(*.f64 -1 (/.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (*.f64 2 beta))) (pow.f64 alpha 2)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (*.f64 2 beta))) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (*.f64 2 beta))) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (*.f64 2 beta))) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))))
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (*.f64 2 beta))) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (*.f64 2 beta))) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (*.f64 2 beta))) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))))
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (*.f64 2 beta))) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (*.f64 2 beta))) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (*.f64 2 beta))) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))))
(/.f64 -4 (pow.f64 alpha 2))
(-.f64 (*.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(+.f64 (*.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(+.f64 (*.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(*.f64 -1 (/.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (*.f64 2 beta))) (pow.f64 alpha 2)))
(*.f64 -1 (/.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (*.f64 2 beta))) (pow.f64 alpha 2)))
(*.f64 -1 (/.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (*.f64 2 beta))) (pow.f64 alpha 2)))
(*.f64 -1 (/.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (*.f64 2 beta))) (pow.f64 alpha 2)))
(*.f64 -1 (/.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (*.f64 2 beta))) (pow.f64 alpha 2)))
(*.f64 -1 (/.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (*.f64 2 beta))) (pow.f64 alpha 2)))
(*.f64 -1 (/.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (*.f64 2 beta))) (pow.f64 alpha 2)))
(*.f64 -1 (/.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (*.f64 2 beta))) (pow.f64 alpha 2)))
(*.f64 -1 (/.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (*.f64 2 beta))) (pow.f64 alpha 2)))
(*.f64 -1 (/.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (*.f64 2 beta))) (pow.f64 alpha 2)))
(*.f64 -1 (/.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (*.f64 2 beta))) (pow.f64 alpha 2)))
(*.f64 -1 (/.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (*.f64 2 beta))) (pow.f64 alpha 2)))
(/.f64 (pow.f64 alpha 2) (+.f64 2 (*.f64 2 beta)))
(/.f64 (pow.f64 alpha 2) (+.f64 2 (*.f64 2 beta)))
(/.f64 (pow.f64 alpha 2) (+.f64 2 (*.f64 2 beta)))
(/.f64 (pow.f64 alpha 2) (+.f64 2 (*.f64 2 beta)))
(/.f64 (pow.f64 alpha 2) (+.f64 2 (*.f64 2 beta)))
(/.f64 (pow.f64 alpha 2) (+.f64 2 (*.f64 2 beta)))
(/.f64 (pow.f64 alpha 2) (+.f64 2 (*.f64 2 beta)))
(/.f64 (pow.f64 alpha 2) (+.f64 2 (*.f64 2 beta)))
(/.f64 (pow.f64 alpha 2) (+.f64 2 (*.f64 2 beta)))
(/.f64 (pow.f64 alpha 2) (+.f64 2 (*.f64 2 beta)))
(/.f64 (pow.f64 alpha 2) (+.f64 2 (*.f64 2 beta)))
(/.f64 (pow.f64 alpha 2) (+.f64 2 (*.f64 2 beta)))
(*.f64 1/2 (pow.f64 alpha 2))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 alpha 2) beta)) (*.f64 1/2 (pow.f64 alpha 2)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 alpha 2) beta)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 alpha 2) (pow.f64 beta 2))) (*.f64 1/2 (pow.f64 alpha 2))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 alpha 2) beta)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 alpha 2) (pow.f64 beta 3))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 alpha 2) (pow.f64 beta 2))) (*.f64 1/2 (pow.f64 alpha 2)))))
(*.f64 1/2 (/.f64 (pow.f64 alpha 2) beta))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))) (*.f64 1/2 (/.f64 (pow.f64 alpha 2) beta)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 alpha 2) beta)) (*.f64 1/2 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 3)))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 4))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 alpha 2) beta)) (*.f64 1/2 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 3))))))
(*.f64 1/2 (/.f64 (pow.f64 alpha 2) beta))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))) (*.f64 1/2 (/.f64 (pow.f64 alpha 2) beta)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 alpha 2) beta)) (*.f64 1/2 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 3)))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 4))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 alpha 2) beta)) (*.f64 1/2 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 3))))))
2
(+.f64 2 (*.f64 2 beta))
(+.f64 2 (*.f64 2 beta))
(+.f64 2 (*.f64 2 beta))
(*.f64 2 beta)
(+.f64 2 (*.f64 2 beta))
(+.f64 2 (*.f64 2 beta))
(+.f64 2 (*.f64 2 beta))
(*.f64 2 beta)
(+.f64 2 (*.f64 2 beta))
(+.f64 2 (*.f64 2 beta))
(+.f64 2 (*.f64 2 beta))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)))) 1)
(*.f64 1 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 2)) (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))))
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(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 2 (*.f64 beta 2))) 2) (*.f64 (neg.f64 (/.f64 (-.f64 -2 (*.f64 beta 2)) alpha)) (neg.f64 (/.f64 (-.f64 -2 (*.f64 beta 2)) alpha)))) (-.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 2 (*.f64 beta 2))) (neg.f64 (/.f64 (-.f64 -2 (*.f64 beta 2)) alpha))))
(/.f64 (/.f64 (-.f64 (*.f64 (-.f64 -2 beta) alpha) (*.f64 (/.f64 (pow.f64 alpha 2) (+.f64 2 (*.f64 beta 2))) (-.f64 -2 (*.f64 beta 2)))) (/.f64 (pow.f64 alpha 2) (+.f64 2 (*.f64 beta 2)))) alpha)
(pow.f64 (-.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 2 (*.f64 beta 2))) (/.f64 (-.f64 -2 (*.f64 beta 2)) alpha)) 1)
(pow.f64 (cbrt.f64 (-.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 2 (*.f64 beta 2))) (/.f64 (-.f64 -2 (*.f64 beta 2)) alpha))) 3)
(pow.f64 (pow.f64 (-.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 2 (*.f64 beta 2))) (/.f64 (-.f64 -2 (*.f64 beta 2)) alpha)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 2 (*.f64 beta 2))) (/.f64 (-.f64 -2 (*.f64 beta 2)) alpha))) 2)
(sqrt.f64 (pow.f64 (-.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 2 (*.f64 beta 2))) (/.f64 (-.f64 -2 (*.f64 beta 2)) alpha)) 2))
(log.f64 (exp.f64 (-.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 2 (*.f64 beta 2))) (/.f64 (-.f64 -2 (*.f64 beta 2)) alpha))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 2 (*.f64 beta 2))) (/.f64 (-.f64 -2 (*.f64 beta 2)) alpha)))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 2 (*.f64 beta 2))) (/.f64 (-.f64 -2 (*.f64 beta 2)) alpha)) 3))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 2 (*.f64 beta 2))) (/.f64 (-.f64 -2 (*.f64 beta 2)) alpha))))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 2 (*.f64 beta 2))) (/.f64 (-.f64 -2 (*.f64 beta 2)) alpha))))
(exp.f64 (log.f64 (-.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 2 (*.f64 beta 2))) (/.f64 (-.f64 -2 (*.f64 beta 2)) alpha))))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 2 (*.f64 beta 2))) (/.f64 (-.f64 -2 (*.f64 beta 2)) alpha))) 1))
(fma.f64 1 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 2 (*.f64 beta 2))) (neg.f64 (/.f64 (-.f64 -2 (*.f64 beta 2)) alpha)))
(fma.f64 (-.f64 -2 beta) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) alpha) (neg.f64 (/.f64 (-.f64 -2 (*.f64 beta 2)) alpha)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 2 (*.f64 beta 2)))) 2) (cbrt.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 2 (*.f64 beta 2)))) (neg.f64 (/.f64 (-.f64 -2 (*.f64 beta 2)) alpha)))
(fma.f64 (/.f64 (sqrt.f64 (-.f64 -2 beta)) (/.f64 alpha (sqrt.f64 (+.f64 2 (*.f64 beta 2))))) (/.f64 (sqrt.f64 (-.f64 -2 beta)) (/.f64 alpha (sqrt.f64 (+.f64 2 (*.f64 beta 2))))) (neg.f64 (/.f64 (-.f64 -2 (*.f64 beta 2)) alpha)))
(+.f64 (*.f64 (/.f64 -2 (pow.f64 alpha 2)) (+.f64 2 (*.f64 beta 2))) (neg.f64 (*.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 2 (*.f64 beta 2)))))
(-.f64 (*.f64 (/.f64 -2 (pow.f64 alpha 2)) (+.f64 2 (*.f64 beta 2))) (*.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 2 (*.f64 beta 2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 2 (*.f64 beta 2))))) 1)
(*.f64 1 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 2 (*.f64 beta 2))))
(*.f64 (-.f64 -2 beta) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) alpha))
(*.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 2 (*.f64 beta 2))) 1)
(*.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 2 (*.f64 beta 2)))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 2 (*.f64 beta 2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 2 (*.f64 beta 2)))) 2) (cbrt.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 2 (*.f64 beta 2)))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) (*.f64 (cbrt.f64 (-.f64 -2 beta)) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) alpha)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 -2 beta)) (/.f64 alpha (sqrt.f64 (+.f64 2 (*.f64 beta 2))))) (/.f64 (sqrt.f64 (-.f64 -2 beta)) (/.f64 alpha (sqrt.f64 (+.f64 2 (*.f64 beta 2))))))
(*.f64 (sqrt.f64 (-.f64 -2 beta)) (*.f64 (sqrt.f64 (-.f64 -2 beta)) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) alpha)))
(*.f64 (neg.f64 (-.f64 -2 beta)) (/.f64 1 (/.f64 (neg.f64 (pow.f64 alpha 2)) (+.f64 2 (*.f64 beta 2)))))
(*.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 (+.f64 2 (*.f64 beta 2)) alpha))
(*.f64 (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) alpha) (-.f64 -2 beta))
(*.f64 (/.f64 1 alpha) (/.f64 (-.f64 -2 beta) (/.f64 alpha (+.f64 2 (*.f64 beta 2)))))
(*.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) (/.f64 (-.f64 -2 beta) alpha))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 alpha 2) (+.f64 2 (*.f64 beta 2)))) 2)) (/.f64 (-.f64 -2 beta) (cbrt.f64 (/.f64 (pow.f64 alpha 2) (+.f64 2 (*.f64 beta 2))))))
(*.f64 (/.f64 1 (/.f64 alpha (sqrt.f64 (+.f64 2 (*.f64 beta 2))))) (/.f64 (-.f64 -2 beta) (/.f64 alpha (sqrt.f64 (+.f64 2 (*.f64 beta 2))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) 1) (/.f64 (cbrt.f64 (-.f64 -2 beta)) (/.f64 (pow.f64 alpha 2) (+.f64 2 (*.f64 beta 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) alpha) (/.f64 (cbrt.f64 (-.f64 -2 beta)) (/.f64 alpha (+.f64 2 (*.f64 beta 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) (/.f64 alpha (+.f64 2 (*.f64 beta 2)))) (/.f64 (cbrt.f64 (-.f64 -2 beta)) alpha))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 alpha 2) (+.f64 2 (*.f64 beta 2)))) 2)) (cbrt.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 2 (*.f64 beta 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) (/.f64 alpha (sqrt.f64 (+.f64 2 (*.f64 beta 2))))) (/.f64 (cbrt.f64 (-.f64 -2 beta)) (/.f64 alpha (sqrt.f64 (+.f64 2 (*.f64 beta 2))))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 -2 beta)) 1) (/.f64 (sqrt.f64 (-.f64 -2 beta)) (/.f64 (pow.f64 alpha 2) (+.f64 2 (*.f64 beta 2)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 -2 beta)) alpha) (/.f64 (sqrt.f64 (-.f64 -2 beta)) (/.f64 alpha (+.f64 2 (*.f64 beta 2)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 -2 beta)) (/.f64 alpha (+.f64 2 (*.f64 beta 2)))) (/.f64 (sqrt.f64 (-.f64 -2 beta)) alpha))
(*.f64 (/.f64 (sqrt.f64 (-.f64 -2 beta)) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 alpha 2) (+.f64 2 (*.f64 beta 2)))) 2)) (/.f64 (sqrt.f64 (-.f64 -2 beta)) (cbrt.f64 (/.f64 (pow.f64 alpha 2) (+.f64 2 (*.f64 beta 2))))))
(*.f64 (/.f64 (/.f64 (-.f64 -2 beta) alpha) alpha) (+.f64 2 (*.f64 beta 2)))
(*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 2 (*.f64 beta 2)))
(*.f64 (/.f64 (/.f64 (-.f64 -2 beta) alpha) (neg.f64 alpha)) (+.f64 (neg.f64 (*.f64 beta 2)) -2))
(pow.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 2 (*.f64 beta 2))) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 2 (*.f64 beta 2)))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 2 (*.f64 beta 2))) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (-.f64 -2 beta)) (/.f64 alpha (sqrt.f64 (+.f64 2 (*.f64 beta 2))))) 2)
(pow.f64 (/.f64 (/.f64 (pow.f64 alpha 2) (+.f64 2 (*.f64 beta 2))) (-.f64 -2 beta)) -1)
(neg.f64 (/.f64 (-.f64 -2 beta) (/.f64 (neg.f64 (pow.f64 alpha 2)) (+.f64 2 (*.f64 beta 2)))))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 2 (*.f64 beta 2))) 2))
(log.f64 (exp.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 2 (*.f64 beta 2)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 2 (*.f64 beta 2))))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 2 (*.f64 beta 2))) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 2 (*.f64 beta 2)))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 2 (*.f64 beta 2)))))
(exp.f64 (log.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 2 (*.f64 beta 2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (+.f64 2 (*.f64 beta 2)))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 alpha 2) (+.f64 2 (*.f64 beta 2))))) 1)
(/.f64 1 (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) alpha))
(/.f64 1 (*.f64 (/.f64 1 alpha) (/.f64 (+.f64 2 (*.f64 beta 2)) alpha)))
(/.f64 1 (*.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) (/.f64 1 alpha)))
(/.f64 1 (/.f64 (+.f64 2 (*.f64 beta 2)) (pow.f64 alpha 2)))
(/.f64 alpha (/.f64 (+.f64 2 (*.f64 beta 2)) alpha))
(/.f64 alpha (*.f64 (/.f64 1 alpha) (+.f64 2 (*.f64 beta 2))))
(/.f64 (/.f64 alpha (+.f64 2 (*.f64 beta 2))) (/.f64 1 alpha))
(/.f64 (/.f64 (pow.f64 alpha 2) (+.f64 2 (*.f64 beta 2))) 1)
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 alpha 2) (+.f64 2 (*.f64 beta 2)))) 2) (/.f64 1 (cbrt.f64 (/.f64 (pow.f64 alpha 2) (+.f64 2 (*.f64 beta 2))))))
(/.f64 (pow.f64 alpha 2) (+.f64 2 (*.f64 beta 2)))
(/.f64 (pow.f64 alpha 2) (*.f64 (+.f64 2 (*.f64 beta 2)) 1))
(/.f64 (/.f64 alpha (sqrt.f64 (+.f64 2 (*.f64 beta 2)))) (/.f64 1 (/.f64 alpha (sqrt.f64 (+.f64 2 (*.f64 beta 2))))))
(/.f64 (neg.f64 alpha) (*.f64 (/.f64 1 alpha) (+.f64 (neg.f64 (*.f64 beta 2)) -2)))
(/.f64 (neg.f64 alpha) (*.f64 -1 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha)))
(/.f64 (neg.f64 alpha) (*.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) -1))
(/.f64 (neg.f64 alpha) (*.f64 (+.f64 (neg.f64 (*.f64 beta 2)) -2) (/.f64 1 alpha)))
(/.f64 (/.f64 (neg.f64 (pow.f64 alpha 2)) (+.f64 2 (*.f64 beta 2))) -1)
(/.f64 (neg.f64 (pow.f64 alpha 2)) (+.f64 (neg.f64 (*.f64 beta 2)) -2))
(/.f64 (*.f64 (neg.f64 alpha) (neg.f64 alpha)) (*.f64 -1 (+.f64 (neg.f64 (*.f64 beta 2)) -2)))
(/.f64 (*.f64 (neg.f64 alpha) (neg.f64 alpha)) (*.f64 (+.f64 (neg.f64 (*.f64 beta 2)) -2) -1))
(/.f64 (*.f64 (/.f64 alpha (+.f64 2 (*.f64 beta 2))) 1) (/.f64 1 alpha))
(/.f64 (*.f64 alpha (neg.f64 alpha)) (+.f64 (neg.f64 (*.f64 beta 2)) -2))
(/.f64 (*.f64 alpha (neg.f64 alpha)) (*.f64 (+.f64 2 (*.f64 beta 2)) -1))
(/.f64 (*.f64 (neg.f64 alpha) alpha) (+.f64 (neg.f64 (*.f64 beta 2)) -2))
(/.f64 (*.f64 (neg.f64 alpha) alpha) (*.f64 (+.f64 (neg.f64 (*.f64 beta 2)) -2) 1))
(/.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (cbrt.f64 (+.f64 2 (*.f64 beta 2))) 2)) (cbrt.f64 (+.f64 2 (*.f64 beta 2))))
(/.f64 (/.f64 (pow.f64 alpha 2) (sqrt.f64 (+.f64 2 (*.f64 beta 2)))) (sqrt.f64 (+.f64 2 (*.f64 beta 2))))
(pow.f64 (/.f64 (pow.f64 alpha 2) (+.f64 2 (*.f64 beta 2))) 1)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 alpha 2) (+.f64 2 (*.f64 beta 2)))) 3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 alpha 2) (+.f64 2 (*.f64 beta 2))) 3) 1/3)
(pow.f64 (/.f64 alpha (sqrt.f64 (+.f64 2 (*.f64 beta 2)))) 2)
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 alpha 2) (+.f64 2 (*.f64 beta 2))) 2))
(log.f64 (exp.f64 (/.f64 (pow.f64 alpha 2) (+.f64 2 (*.f64 beta 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 alpha 2) (+.f64 2 (*.f64 beta 2))))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 alpha 2) (+.f64 2 (*.f64 beta 2))) 3))
(cbrt.f64 (*.f64 (pow.f64 alpha 3) (pow.f64 (/.f64 alpha (+.f64 2 (*.f64 beta 2))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 2 (*.f64 beta 2))) 3) (pow.f64 alpha 3)))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 alpha 2) (+.f64 2 (*.f64 beta 2)))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 alpha 2) (+.f64 2 (*.f64 beta 2)))))
(exp.f64 (log.f64 (/.f64 (pow.f64 alpha 2) (+.f64 2 (*.f64 beta 2)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 alpha 2) (+.f64 2 (*.f64 beta 2)))) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 2 (*.f64 beta 2)))) 1)
(-.f64 (/.f64 (pow.f64 beta 2) (-.f64 beta (+.f64 beta 2))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 beta (+.f64 beta 2))))
(*.f64 1 (+.f64 2 (*.f64 beta 2)))
(*.f64 (cbrt.f64 (+.f64 2 (*.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 2 (*.f64 beta 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2 (*.f64 beta 2))) 2) (cbrt.f64 (+.f64 2 (*.f64 beta 2))))
(*.f64 (sqrt.f64 (+.f64 2 (*.f64 beta 2))) (sqrt.f64 (+.f64 2 (*.f64 beta 2))))
(*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)) (/.f64 1 (fma.f64 beta beta (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) beta)))))
(*.f64 (-.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (-.f64 beta (+.f64 beta 2))))
(/.f64 1 (/.f64 (fma.f64 beta beta (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) beta))) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))))
(/.f64 1 (/.f64 (-.f64 beta (+.f64 beta 2)) (-.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2))))
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)) (fma.f64 beta beta (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) beta))))
(/.f64 (-.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) (-.f64 beta (+.f64 beta 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (neg.f64 (fma.f64 beta beta (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) beta)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2))) (neg.f64 (-.f64 beta (+.f64 beta 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 beta 3)) (+.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 (pow.f64 beta 2) (*.f64 (+.f64 beta 2) beta))))
(/.f64 (+.f64 (pow.f64 (*.f64 beta 2) 3) 8) (+.f64 (*.f64 (*.f64 beta 2) (*.f64 beta 2)) (-.f64 4 (*.f64 (*.f64 beta 2) 2))))
(/.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 beta 2)) (-.f64 (+.f64 beta 2) beta))
(/.f64 (-.f64 (*.f64 (*.f64 beta 2) (*.f64 beta 2)) 4) (-.f64 (*.f64 beta 2) 2))
(pow.f64 (+.f64 2 (*.f64 beta 2)) 1)
(pow.f64 (cbrt.f64 (+.f64 2 (*.f64 beta 2))) 3)
(pow.f64 (pow.f64 (+.f64 2 (*.f64 beta 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 2 (*.f64 beta 2))) 2)
(sqrt.f64 (pow.f64 (+.f64 2 (*.f64 beta 2)) 2))
(log.f64 (exp.f64 (+.f64 2 (*.f64 beta 2))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 2 (*.f64 beta 2)))))
(cbrt.f64 (pow.f64 (+.f64 2 (*.f64 beta 2)) 3))
(expm1.f64 (log1p.f64 (+.f64 2 (*.f64 beta 2))))
(log1p.f64 (expm1.f64 (+.f64 2 (*.f64 beta 2))))
(exp.f64 (log.f64 (+.f64 2 (*.f64 beta 2))))
(exp.f64 (*.f64 (log.f64 (+.f64 2 (*.f64 beta 2))) 1))
(fma.f64 1 beta (+.f64 beta 2))
(fma.f64 1 (+.f64 beta 2) beta)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (cbrt.f64 (+.f64 beta 2)) beta)
(fma.f64 (cbrt.f64 (pow.f64 beta 2)) (cbrt.f64 beta) (+.f64 beta 2))
(fma.f64 (sqrt.f64 (+.f64 beta 2)) (sqrt.f64 (+.f64 beta 2)) beta)
(fma.f64 (sqrt.f64 beta) (sqrt.f64 beta) (+.f64 beta 2))
Outputs
(pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 1/3)
(cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2)) 1/9) (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 1/3))
(fma.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)) 1/18)) (*.f64 alpha (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))))) (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))
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(pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 1/3)
(cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2)) 1/9) (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 1/3))
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(cbrt.f64 2)
(+.f64 (cbrt.f64 2) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2)) 1/3) (/.f64 (+.f64 2 (*.f64 2 alpha)) beta))))
(+.f64 (cbrt.f64 2) (*.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2))) (/.f64 (+.f64 2 (*.f64 2 alpha)) beta))))
(fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2))) (/.f64 (fma.f64 2 alpha 2) beta)) (cbrt.f64 2))
(+.f64 (cbrt.f64 2) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2)) 1/3) (/.f64 (+.f64 2 (*.f64 2 alpha)) beta))) (*.f64 1/3 (/.f64 (-.f64 (*.f64 alpha (+.f64 2 alpha)) (+.f64 (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/3) (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2))))) (*.f64 (pow.f64 beta 2) (pow.f64 (cbrt.f64 2) 2))))))
(+.f64 (cbrt.f64 2) (fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2))) (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (*.f64 1/3 (/.f64 (-.f64 (*.f64 alpha (+.f64 2 alpha)) (fma.f64 -1 (pow.f64 (+.f64 2 alpha) 2) (*.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 2))) (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2))))) (*.f64 (pow.f64 beta 2) (pow.f64 (cbrt.f64 2) 2))))))
(+.f64 (cbrt.f64 2) (fma.f64 1/3 (/.f64 (-.f64 (*.f64 alpha (+.f64 2 alpha)) (-.f64 (*.f64 (*.f64 1/3 (cbrt.f64 (/.f64 1 (cbrt.f64 2)))) (pow.f64 (fma.f64 2 alpha 2) 2)) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 (pow.f64 beta 2) (pow.f64 (cbrt.f64 2) 2))) (*.f64 (*.f64 -1/3 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2)))) (/.f64 (fma.f64 2 alpha 2) beta))))
(+.f64 (cbrt.f64 2) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2)) 1/3) (/.f64 (+.f64 2 (*.f64 2 alpha)) beta))) (+.f64 (*.f64 1/3 (/.f64 (-.f64 (*.f64 -1 (*.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 5)) 1/3) (*.f64 (+.f64 2 (*.f64 2 alpha)) (-.f64 (*.f64 alpha (+.f64 2 alpha)) (+.f64 (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/3) (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2)))))))) (+.f64 (*.f64 -1/27 (/.f64 (pow.f64 (+.f64 2 (*.f64 2 alpha)) 3) (pow.f64 (cbrt.f64 2) 2))) (pow.f64 (+.f64 2 alpha) 3)))) (*.f64 (pow.f64 beta 3) (pow.f64 (cbrt.f64 2) 2)))) (*.f64 1/3 (/.f64 (-.f64 (*.f64 alpha (+.f64 2 alpha)) (+.f64 (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/3) (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2))))) (*.f64 (pow.f64 beta 2) (pow.f64 (cbrt.f64 2) 2)))))))
(+.f64 (cbrt.f64 2) (fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2))) (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (*.f64 1/3 (+.f64 (/.f64 (-.f64 (*.f64 (neg.f64 alpha) (pow.f64 (+.f64 2 alpha) 2)) (fma.f64 -2/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 5))) (*.f64 (+.f64 2 (*.f64 2 alpha)) (-.f64 (*.f64 alpha (+.f64 2 alpha)) (fma.f64 -1 (pow.f64 (+.f64 2 alpha) 2) (*.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 2))) (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2))))))) (fma.f64 -1/27 (/.f64 (pow.f64 (+.f64 2 (*.f64 2 alpha)) 3) (pow.f64 (cbrt.f64 2) 2)) (pow.f64 (+.f64 2 alpha) 3)))) (*.f64 (pow.f64 beta 3) (pow.f64 (cbrt.f64 2) 2))) (/.f64 (-.f64 (*.f64 alpha (+.f64 2 alpha)) (fma.f64 -1 (pow.f64 (+.f64 2 alpha) 2) (*.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 2))) (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2))))) (*.f64 (pow.f64 beta 2) (pow.f64 (cbrt.f64 2) 2)))))))
(+.f64 (fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2))) (/.f64 (fma.f64 2 alpha 2) beta)) (cbrt.f64 2)) (*.f64 1/3 (+.f64 (/.f64 (-.f64 (*.f64 alpha (neg.f64 (pow.f64 (+.f64 2 alpha) 2))) (fma.f64 (*.f64 -2/3 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 5)))) (*.f64 (fma.f64 2 alpha 2) (-.f64 (*.f64 alpha (+.f64 2 alpha)) (-.f64 (*.f64 (*.f64 1/3 (cbrt.f64 (/.f64 1 (cbrt.f64 2)))) (pow.f64 (fma.f64 2 alpha 2) 2)) (pow.f64 (+.f64 2 alpha) 2)))) (fma.f64 -1/27 (/.f64 (pow.f64 (fma.f64 2 alpha 2) 3) (pow.f64 (cbrt.f64 2) 2)) (pow.f64 (+.f64 2 alpha) 3)))) (*.f64 (pow.f64 beta 3) (pow.f64 (cbrt.f64 2) 2))) (/.f64 (-.f64 (*.f64 alpha (+.f64 2 alpha)) (-.f64 (*.f64 (*.f64 1/3 (cbrt.f64 (/.f64 1 (cbrt.f64 2)))) (pow.f64 (fma.f64 2 alpha 2) 2)) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 (pow.f64 beta 2) (pow.f64 (cbrt.f64 2) 2))))))
(cbrt.f64 2)
(+.f64 (cbrt.f64 2) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2)) 1/3) (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta))))
(+.f64 (cbrt.f64 2) (*.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2))) (/.f64 (-.f64 (neg.f64 alpha) (+.f64 2 alpha)) beta))))
(fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2))) (/.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) beta)) (cbrt.f64 2))
(+.f64 (cbrt.f64 2) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2)) 1/3) (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta))) (*.f64 1/3 (/.f64 (-.f64 (*.f64 -1 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/3) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)))) (*.f64 (pow.f64 beta 2) (pow.f64 (cbrt.f64 2) 2))))))
(+.f64 (cbrt.f64 2) (*.f64 1/3 (+.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2))) (/.f64 (-.f64 (neg.f64 alpha) (+.f64 2 alpha)) beta)) (/.f64 (-.f64 (neg.f64 (*.f64 (+.f64 2 alpha) (-.f64 (neg.f64 alpha) (+.f64 2 alpha)))) (*.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 2))) (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 2 alpha)) 2)))) (*.f64 (pow.f64 beta 2) (pow.f64 (cbrt.f64 2) 2))))))
(fma.f64 1/3 (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2))) (/.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) beta) (/.f64 (fma.f64 (fma.f64 alpha -1 -2) (-.f64 (fma.f64 alpha -1 -2) alpha) (*.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 2))) (pow.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) 2)))) (*.f64 (pow.f64 beta 2) (pow.f64 (cbrt.f64 2) 2)))) (cbrt.f64 2))
(+.f64 (cbrt.f64 2) (+.f64 (*.f64 -1/3 (/.f64 (-.f64 (*.f64 -1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 5)) 1/3) (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (-.f64 (*.f64 -1 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/3) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2))))))) (*.f64 -1/27 (/.f64 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 3) (pow.f64 (cbrt.f64 2) 2))))) (*.f64 (pow.f64 beta 3) (pow.f64 (cbrt.f64 2) 2)))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2)) 1/3) (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta))) (*.f64 1/3 (/.f64 (-.f64 (*.f64 -1 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/3) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)))) (*.f64 (pow.f64 beta 2) (pow.f64 (cbrt.f64 2) 2)))))))
(+.f64 (cbrt.f64 2) (fma.f64 -1/3 (/.f64 (-.f64 (*.f64 (neg.f64 (pow.f64 (+.f64 2 alpha) 2)) (-.f64 (neg.f64 alpha) (+.f64 2 alpha))) (fma.f64 -2/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 5))) (*.f64 (-.f64 (neg.f64 alpha) (+.f64 2 alpha)) (-.f64 (neg.f64 (*.f64 (+.f64 2 alpha) (-.f64 (neg.f64 alpha) (+.f64 2 alpha)))) (*.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 2))) (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 2 alpha)) 2)))))) (*.f64 -1/27 (/.f64 (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 2 alpha)) 3) (pow.f64 (cbrt.f64 2) 2))))) (*.f64 (pow.f64 beta 3) (pow.f64 (cbrt.f64 2) 2))) (*.f64 1/3 (+.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2))) (/.f64 (-.f64 (neg.f64 alpha) (+.f64 2 alpha)) beta)) (/.f64 (-.f64 (neg.f64 (*.f64 (+.f64 2 alpha) (-.f64 (neg.f64 alpha) (+.f64 2 alpha)))) (*.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 2))) (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 2 alpha)) 2)))) (*.f64 (pow.f64 beta 2) (pow.f64 (cbrt.f64 2) 2)))))))
(+.f64 (cbrt.f64 2) (fma.f64 -1/3 (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (neg.f64 (-.f64 (fma.f64 alpha -1 -2) alpha))) (fma.f64 -2/3 (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 5))) (-.f64 (fma.f64 alpha -1 -2) alpha)) (fma.f64 (fma.f64 alpha -1 -2) (-.f64 (fma.f64 alpha -1 -2) alpha) (*.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 2))) (pow.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) 2))))) (*.f64 -1/27 (/.f64 (pow.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) 3) (pow.f64 (cbrt.f64 2) 2))))) (*.f64 (pow.f64 beta 3) (pow.f64 (cbrt.f64 2) 2))) (*.f64 1/3 (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2))) (/.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) beta) (/.f64 (fma.f64 (fma.f64 alpha -1 -2) (-.f64 (fma.f64 alpha -1 -2) alpha) (*.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 2))) (pow.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) 2)))) (*.f64 (pow.f64 beta 2) (pow.f64 (cbrt.f64 2) 2)))))))
(pow.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2) 1/3)
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2))
(+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 1 (+.f64 1 (/.f64 beta (+.f64 2 beta)))) 1/9) (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))) (pow.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2) 1/3))
(fma.f64 -2/3 (*.f64 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 1/18) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 1/18))) (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)))
(fma.f64 (*.f64 -2/3 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 1/18) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 1/18))) (*.f64 alpha (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)))
(+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 1 (+.f64 1 (/.f64 beta (+.f64 2 beta)))) 1/9) (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))) (+.f64 (*.f64 (pow.f64 alpha 2) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 4)) 1/9) (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 2 beta)))) 1/3) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (+.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 3))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 2 beta)))) 1/9) (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2))))))))) (pow.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2) 1/3)))
(fma.f64 -2/3 (*.f64 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 1/18) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 1/18))) (fma.f64 (pow.f64 alpha 2) (fma.f64 1/9 (*.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 4)) 1/18))) (*.f64 2/3 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (fma.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) 1/18) (pow.f64 (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) 1/18)) (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2))))) (cbrt.f64 (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))))) (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2))))
(fma.f64 -2/3 (*.f64 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 1/18) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 1/18))) (fma.f64 (pow.f64 alpha 2) (fma.f64 1/9 (*.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 4)) 1/18))) (*.f64 (*.f64 2/3 (cbrt.f64 (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))) (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (*.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) 1/18) (pow.f64 (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) 1/18))) (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2))))) (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2))))
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2
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2
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2
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(fma.f64 beta 2 2)
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(*.f64 2 beta)
(*.f64 beta 2)
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(+.f64 2 (*.f64 beta 2))
(fma.f64 beta 2 2)
(*.f64 (sqrt.f64 (+.f64 2 (*.f64 beta 2))) (sqrt.f64 (+.f64 2 (*.f64 beta 2))))
(+.f64 2 (*.f64 beta 2))
(fma.f64 beta 2 2)
(*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)) (/.f64 1 (fma.f64 beta beta (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) beta)))))
(*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 beta 3)) (/.f64 1 (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 beta))))))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 beta 3)) (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 beta)))))
(*.f64 (-.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (-.f64 beta (+.f64 beta 2))))
(/.f64 (-.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) (-.f64 beta (+.f64 beta 2)))
(*.f64 -1/2 (*.f64 (+.f64 beta (+.f64 beta 2)) -2))
(/.f64 1 (/.f64 (fma.f64 beta beta (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) beta))) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))))
(*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 beta 3)) (/.f64 1 (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 beta))))))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 beta 3)) (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 beta)))))
(/.f64 1 (/.f64 (-.f64 beta (+.f64 beta 2)) (-.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2))))
(/.f64 (-.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) (-.f64 beta (+.f64 beta 2)))
(*.f64 -1/2 (*.f64 (+.f64 beta (+.f64 beta 2)) -2))
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)) (fma.f64 beta beta (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) beta))))
(*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 beta 3)) (/.f64 1 (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 beta))))))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 beta 3)) (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 beta)))))
(/.f64 (-.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) (-.f64 beta (+.f64 beta 2)))
(*.f64 -1/2 (*.f64 (+.f64 beta (+.f64 beta 2)) -2))
(/.f64 (neg.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (neg.f64 (fma.f64 beta beta (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) beta)))))
(neg.f64 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 beta 3)) (neg.f64 (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 beta)))))))
(*.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 beta 3)) (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 beta))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2))) (neg.f64 (-.f64 beta (+.f64 beta 2))))
(neg.f64 (/.f64 (-.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) (neg.f64 (-.f64 beta (+.f64 beta 2)))))
(/.f64 (neg.f64 (*.f64 (+.f64 beta (+.f64 beta 2)) -2)) 2)
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 beta 3)) (+.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 (pow.f64 beta 2) (*.f64 (+.f64 beta 2) beta))))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 beta 3)) (+.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 (pow.f64 beta 2) (*.f64 beta (+.f64 beta 2)))))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 beta 3)) (+.f64 (pow.f64 (+.f64 beta 2) 2) (fma.f64 beta beta (*.f64 beta (-.f64 -2 beta)))))
(/.f64 (+.f64 (pow.f64 (*.f64 beta 2) 3) 8) (+.f64 (*.f64 (*.f64 beta 2) (*.f64 beta 2)) (-.f64 4 (*.f64 (*.f64 beta 2) 2))))
(/.f64 (+.f64 8 (*.f64 (pow.f64 beta 3) 8)) (+.f64 (*.f64 (pow.f64 beta 2) 4) (-.f64 4 (*.f64 beta 4))))
(/.f64 (fma.f64 (pow.f64 beta 3) 8 8) (+.f64 (fma.f64 (pow.f64 beta 2) 4 4) (*.f64 beta -4)))
(/.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 beta 2)) (-.f64 (+.f64 beta 2) beta))
(/.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 beta 2)) (+.f64 beta (-.f64 2 beta)))
(/.f64 (-.f64 (*.f64 (*.f64 beta 2) (*.f64 beta 2)) 4) (-.f64 (*.f64 beta 2) 2))
(/.f64 (+.f64 (*.f64 (pow.f64 beta 2) 4) -4) (fma.f64 beta 2 -2))
(/.f64 (fma.f64 (pow.f64 beta 2) 4 -4) (fma.f64 beta 2 -2))
(pow.f64 (+.f64 2 (*.f64 beta 2)) 1)
(+.f64 2 (*.f64 beta 2))
(fma.f64 beta 2 2)
(pow.f64 (cbrt.f64 (+.f64 2 (*.f64 beta 2))) 3)
(+.f64 2 (*.f64 beta 2))
(fma.f64 beta 2 2)
(pow.f64 (pow.f64 (+.f64 2 (*.f64 beta 2)) 3) 1/3)
(+.f64 2 (*.f64 beta 2))
(fma.f64 beta 2 2)
(pow.f64 (sqrt.f64 (+.f64 2 (*.f64 beta 2))) 2)
(+.f64 2 (*.f64 beta 2))
(fma.f64 beta 2 2)
(sqrt.f64 (pow.f64 (+.f64 2 (*.f64 beta 2)) 2))
(fabs.f64 (fma.f64 beta 2 2))
(log.f64 (exp.f64 (+.f64 2 (*.f64 beta 2))))
(+.f64 2 (*.f64 beta 2))
(fma.f64 beta 2 2)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 2 (*.f64 beta 2)))))
(+.f64 2 (*.f64 beta 2))
(fma.f64 beta 2 2)
(cbrt.f64 (pow.f64 (+.f64 2 (*.f64 beta 2)) 3))
(+.f64 2 (*.f64 beta 2))
(fma.f64 beta 2 2)
(expm1.f64 (log1p.f64 (+.f64 2 (*.f64 beta 2))))
(expm1.f64 (log1p.f64 (fma.f64 beta 2 2)))
(log1p.f64 (expm1.f64 (+.f64 2 (*.f64 beta 2))))
(+.f64 2 (*.f64 beta 2))
(fma.f64 beta 2 2)
(exp.f64 (log.f64 (+.f64 2 (*.f64 beta 2))))
(+.f64 2 (*.f64 beta 2))
(fma.f64 beta 2 2)
(exp.f64 (*.f64 (log.f64 (+.f64 2 (*.f64 beta 2))) 1))
(+.f64 2 (*.f64 beta 2))
(fma.f64 beta 2 2)
(fma.f64 1 beta (+.f64 beta 2))
(+.f64 beta (+.f64 beta 2))
(fma.f64 1 (+.f64 beta 2) beta)
(+.f64 (+.f64 beta 2) beta)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (cbrt.f64 (+.f64 beta 2)) beta)
(fma.f64 1 (+.f64 beta 2) beta)
(+.f64 (+.f64 beta 2) beta)
(fma.f64 (cbrt.f64 (pow.f64 beta 2)) (cbrt.f64 beta) (+.f64 beta 2))
(fma.f64 (sqrt.f64 (+.f64 beta 2)) (sqrt.f64 (+.f64 beta 2)) beta)
(fma.f64 1 (+.f64 beta 2) beta)
(+.f64 (+.f64 beta 2) beta)
(fma.f64 (sqrt.f64 beta) (sqrt.f64 beta) (+.f64 beta 2))
(fma.f64 1 beta (+.f64 beta 2))
(+.f64 beta (+.f64 beta 2))

eval1.0s (9.6%)

Compiler

Compiled 41291 to 31662 computations (23.3% saved)

prune273.0ms (2.5%)

Pruning

20 alts after pruning (10 fresh and 10 done)

PrunedKeptTotal
New7885793
Fresh055
Picked235
Done077
Total79020810
Accuracy
100.0%
Counts
810 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.5%
(/.f64 (fma.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha) 1) 2)
75.5%
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha) 1)) 3) 2)
27.3%
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
8.5%
(/.f64 (/.f64 (*.f64 2 beta) alpha) 2)
23.2%
(/.f64 (/.f64 2 alpha) 2)
25.5%
(/.f64 (-.f64 (/.f64 (-.f64 -2 beta) (/.f64 alpha (/.f64 (+.f64 2 (*.f64 beta 2)) alpha))) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 2)
77.6%
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
23.7%
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.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))))) 2)
30.6%
(/.f64 (-.f64 2 (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta)) 2)
76.9%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
75.1%
(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
76.9%
(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2)
47.6%
(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
49.2%
(/.f64 (+.f64 1 (*.f64 alpha -1/2)) 2)
76.1%
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha) 1)) 2) (pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 1/6) 2)) 2)
76.1%
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha) 1)) 2) (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 1/3)) 2)
76.1%
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha) 1)) 2) (cbrt.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha)) 3) 1) (+.f64 (*.f64 (*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha)) (*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha)) 1)))))) 2)
76.1%
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha) 1)) 2) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) 2)
30.7%
(-.f64 1 (/.f64 1 beta))
38.3%
1
Compiler

Compiled 1075 to 784 computations (27.1% saved)

regimes309.0ms (2.9%)

Counts
32 → 2
Calls
Call 1
Inputs
1
(/.f64 2 2)
(-.f64 1 (/.f64 1 beta))
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (+.f64 1 (*.f64 alpha -1/2)) 2)
(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
(/.f64 (/.f64 (*.f64 2 beta) alpha) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(/.f64 (-.f64 2 (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta)) 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 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
(/.f64 (-.f64 (/.f64 (-.f64 -2 beta) (/.f64 alpha (/.f64 (+.f64 2 (*.f64 beta 2)) alpha))) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 2)
(/.f64 (-.f64 (/.f64 (-.f64 -2 beta) (*.f64 (/.f64 alpha 1) (/.f64 alpha (+.f64 beta (+.f64 beta 2))))) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 2)
(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) 2)
(/.f64 (fma.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha) 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 -2 beta) (/.f64 (pow.f64 alpha 2) (+.f64 beta (+.f64 2 beta)))) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 2)
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha) 1)) 3) 2)
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha) 1)) 2) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) 2)
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha) 1)) 2) (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 1/3)) 2)
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha) 1)) 2) (cbrt.f64 (fma.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha) 1))) 2)
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha) 1)) 2) (pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 1/6) 2)) 2)
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha) 1)) 2) (cbrt.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha)) 3) 1) (+.f64 (*.f64 (*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha)) (*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha)) 1)))))) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.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))))) 2)
(/.f64 (-.f64 (+.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))) (/.f64 (fma.f64 beta (pow.f64 (+.f64 2 beta) 3) (pow.f64 (+.f64 2 beta) 4)) (pow.f64 alpha 4))) 2)
(/.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 3)) (pow.f64 (+.f64 2 beta) 2)) (+.f64 (*.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 2 beta)) (*.f64 (/.f64 beta (pow.f64 alpha 4)) (pow.f64 (+.f64 2 beta) 3))))) 2)
Outputs
(/.f64 (-.f64 (/.f64 (-.f64 -2 beta) (/.f64 alpha (/.f64 (+.f64 2 (*.f64 beta 2)) alpha))) (/.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:

127.0ms
beta
105.0ms
alpha
61.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
7.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
7.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
Results
AccuracySegmentsBranch
94.5%2alpha
81.8%5beta
99.9%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
99.9%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
99.9%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
Compiler

Compiled 45 to 31 computations (31.1% saved)

regimes25.0ms (0.2%)

Counts
19 → 2
Calls
Call 1
Inputs
1
(/.f64 2 2)
(-.f64 1 (/.f64 1 beta))
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (+.f64 1 (*.f64 alpha -1/2)) 2)
(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
(/.f64 (/.f64 (*.f64 2 beta) alpha) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(/.f64 (-.f64 2 (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta)) 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 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
(/.f64 (-.f64 (/.f64 (-.f64 -2 beta) (/.f64 alpha (/.f64 (+.f64 2 (*.f64 beta 2)) alpha))) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 2)
(/.f64 (-.f64 (/.f64 (-.f64 -2 beta) (*.f64 (/.f64 alpha 1) (/.f64 alpha (+.f64 beta (+.f64 beta 2))))) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 2)
Outputs
(/.f64 (-.f64 (/.f64 (-.f64 -2 beta) (/.f64 alpha (/.f64 (+.f64 2 (*.f64 beta 2)) alpha))) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
Calls

3 calls:

12.0ms
(/.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
99.9%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
99.9%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
99.9%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
Compiler

Compiled 39 to 27 computations (30.8% saved)

regimes53.0ms (0.5%)

Counts
17 → 2
Calls
Call 1
Inputs
1
(/.f64 2 2)
(-.f64 1 (/.f64 1 beta))
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (+.f64 1 (*.f64 alpha -1/2)) 2)
(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
(/.f64 (/.f64 (*.f64 2 beta) alpha) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(/.f64 (-.f64 2 (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta)) 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 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
Outputs
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
Calls

3 calls:

41.0ms
(/.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
99.9%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
99.9%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
99.9%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
Compiler

Compiled 39 to 27 computations (30.8% saved)

regimes22.0ms (0.2%)

Counts
16 → 2
Calls
Call 1
Inputs
1
(/.f64 2 2)
(-.f64 1 (/.f64 1 beta))
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (+.f64 1 (*.f64 alpha -1/2)) 2)
(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
(/.f64 (/.f64 (*.f64 2 beta) alpha) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(/.f64 (-.f64 2 (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta)) 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 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2)
Outputs
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
Calls

3 calls:

11.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
5.0ms
(/.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
99.9%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
99.9%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
99.9%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
Compiler

Compiled 39 to 27 computations (30.8% saved)

regimes17.0ms (0.2%)

Counts
14 → 2
Calls
Call 1
Inputs
1
(/.f64 2 2)
(-.f64 1 (/.f64 1 beta))
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (+.f64 1 (*.f64 alpha -1/2)) 2)
(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
(/.f64 (/.f64 (*.f64 2 beta) alpha) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(/.f64 (-.f64 2 (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta)) 2)
(/.f64 (+.f64 2 (neg.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta))) 2)
Outputs
(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
Calls

1 calls:

17.0ms
alpha
Results
AccuracySegmentsBranch
94.0%2alpha
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes14.0ms (0.1%)

Counts
11 → 2
Calls
Call 1
Inputs
1
(/.f64 2 2)
(-.f64 1 (/.f64 1 beta))
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (+.f64 1 (*.f64 alpha -1/2)) 2)
(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
(/.f64 (/.f64 (*.f64 2 beta) alpha) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
Outputs
(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
(/.f64 (/.f64 2 alpha) 2)
Calls

1 calls:

14.0ms
alpha
Results
AccuracySegmentsBranch
89.5%2alpha
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes52.0ms (0.5%)

Counts
9 → 6
Calls
Call 1
Inputs
1
(/.f64 2 2)
(-.f64 1 (/.f64 1 beta))
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (+.f64 1 (*.f64 alpha -1/2)) 2)
(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
(/.f64 (/.f64 (*.f64 2 beta) alpha) 2)
Outputs
(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (+.f64 1 (*.f64 alpha -1/2)) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
(-.f64 1 (/.f64 1 beta))
Calls

2 calls:

40.0ms
beta
12.0ms
alpha
Results
AccuracySegmentsBranch
79.1%6beta
69.6%2alpha
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes31.0ms (0.3%)

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

1 calls:

30.0ms
beta
Results
AccuracySegmentsBranch
78.3%6beta
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes21.0ms (0.2%)

Counts
5 → 2
Calls
Call 1
Inputs
1
(/.f64 2 2)
(-.f64 1 (/.f64 1 beta))
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
Outputs
1
(/.f64 (/.f64 2 alpha) 2)
Calls

2 calls:

10.0ms
beta
10.0ms
alpha
Results
AccuracySegmentsBranch
52.7%2alpha
50.4%2beta
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes8.0ms (0.1%)

Accuracy

Total -22.9b remaining (-58.1%)

Threshold costs -22.9b (-58.1%)

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

2 calls:

4.0ms
alpha
4.0ms
beta
Results
AccuracySegmentsBranch
38.3%1beta
38.3%1alpha
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999999999999797
-0.9996100437612934
Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999999999999797
-0.9996100437612934
Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999999999999797
-0.9996100437612934
Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999999999999797
-0.9996100437612934
Compiler

Compiled 20 to 15 computations (25% saved)

bsearch14.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
935300196968450.6
4386447071967742.0
Results
9.0ms80×256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
Compiler

Compiled 164 to 135 computations (17.7% saved)

bsearch13.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
935300196968450.6
4386447071967742.0
Results
9.0ms80×256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
Compiler

Compiled 140 to 117 computations (16.4% saved)

bsearch100.0ms (0.9%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
30.0ms
2.5449390523190318e-6
56274.30202341108
19.0ms
1.9634733323465343e-33
6.901291187860541e-32
17.0ms
8.602496746379351e-72
9.327772738658617e-70
11.0ms
-8.090271939069035e-283
-4.212543388915055e-283
23.0ms
-5.0023593050656885e-257
-7.540329147991658e-264
Results
59.0ms434×256valid
21.0ms91×1024valid
7.0ms45×512valid
2.0ms2048valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
Compiler

Compiled 686 to 607 computations (11.5% saved)

bsearch83.0ms (0.8%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
24.0ms
2.5449390523190318e-6
56274.30202341108
18.0ms
1.9634733323465343e-33
6.901291187860541e-32
16.0ms
8.602496746379351e-72
9.327772738658617e-70
10.0ms
-8.090271939069035e-283
-4.212543388915055e-283
15.0ms
-3.308733100237691e-238
-5.54521981820315e-239
Results
48.0ms420×256valid
18.0ms72×1024valid
5.0ms32×512valid
1.0ms2048valid
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
Compiler

Compiled 632 to 559 computations (11.6% saved)

bsearch14.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
14.0ms
935300196968450.6
4386447071967742.0
Results
11.0ms80×256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
Compiler

Compiled 92 to 81 computations (12% saved)

simplify59.0ms (0.5%)

Algorithm
egg-herbie
Rules
254×unsub-neg
150×neg-mul-1
98×+-commutative
90×distribute-lft-neg-in
70×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01001175
11331175
21591175
31991175
42471175
53351175
64011175
75051175
86271175
96851175
107301175
117411175
127421175
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -2251349453722511/2251799813685248) (/.f64 (-.f64 (/.f64 (-.f64 -2 beta) (/.f64 alpha (/.f64 (+.f64 2 (*.f64 beta 2)) alpha))) (/.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)) -2251349453722511/2251799813685248) (/.f64 (-.f64 (/.f64 (-.f64 -2 beta) (/.f64 alpha (/.f64 (+.f64 2 (*.f64 beta 2)) alpha))) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -2251349453722511/2251799813685248) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -2251349453722511/2251799813685248) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 alpha 950000000000000) (/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 950000000000000) (/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 beta -7090649168385425/17726622920963562283492833353875882150307419319860869157979152909707315649514250439943889552308992750523075148942386782770807567185698815677056677116184170553481231217950104164393978236130449019315710017470734562946173533283208371259654747728689409291887821024109648618981425152) (/.f64 (+.f64 (*.f64 beta 1/2) 1) 2) (if (<=.f64 beta -6278370745232035/10463951242053391806136963369726580181263718864311851635192874886429209483641954321222640418122029864527291727710479949464718215680589004332016189037791576956967351342601788071700268169006221818240189631008834448226154239518944108944497601509840881752510934060240763835605888507473266002770708660224) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 7149021523390683/7770675568902916283677847627294075626569627356208558085007249638955617140820833992704) (/.f64 (+.f64 1 (*.f64 alpha -1/2)) 2) (if (<=.f64 beta 4384504911992709/1461501637330902918203684832716283019655932542976) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (+.f64 (*.f64 beta 1/2) 1) 2) (-.f64 1 (/.f64 1 beta)))))))
(if (<=.f64 beta -6569077225204113/117304950450073441093299338992332138457996243649210992760592177980666118165925495436678284352817677825758656549761022853424729541660972550965022826666248518125620733165482852770884817967017897067499683873717228533661411547573197142488509591988118713532416) (/.f64 (+.f64 1 (*.f64 alpha -1/2)) 2) (if (<=.f64 beta -8371160993642713/10463951242053391806136963369726580181263718864311851635192874886429209483641954321222640418122029864527291727710479949464718215680589004332016189037791576956967351342601788071700268169006221818240189631008834448226154239518944108944497601509840881752510934060240763835605888507473266002770708660224) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 7149021523390683/7770675568902916283677847627294075626569627356208558085007249638955617140820833992704) (/.f64 (+.f64 1 (*.f64 alpha -1/2)) 2) (if (<=.f64 beta 1461501637330903/730750818665451459101842416358141509827966271488) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 7656119366529843/4503599627370496) (/.f64 (+.f64 1 (*.f64 alpha -1/2)) 2) (-.f64 1 (/.f64 1 beta)))))))
(if (<=.f64 alpha 1400000000000000) 1 (/.f64 (/.f64 2 alpha) 2))
1
Outputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -2251349453722511/2251799813685248) (/.f64 (-.f64 (/.f64 (-.f64 -2 beta) (/.f64 alpha (/.f64 (+.f64 2 (*.f64 beta 2)) alpha))) (/.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)) -2251349453722511/2251799813685248) (/.f64 (-.f64 (/.f64 (-.f64 -2 beta) (/.f64 alpha (/.f64 (+.f64 2 (*.f64 beta 2)) alpha))) (/.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)) -2251349453722511/2251799813685248) (/.f64 (+.f64 (/.f64 (-.f64 -2 beta) (/.f64 alpha (/.f64 (+.f64 2 (*.f64 beta 2)) alpha))) (/.f64 (-.f64 beta (-.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)) -2251349453722511/2251799813685248) (/.f64 (+.f64 (/.f64 (-.f64 -2 beta) (/.f64 alpha (/.f64 (+.f64 2 (*.f64 beta 2)) alpha))) (/.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)) -2251349453722511/2251799813685248) (/.f64 (-.f64 (/.f64 (-.f64 -2 beta) (/.f64 alpha (/.f64 (+.f64 2 (*.f64 beta 2)) alpha))) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -2251349453722511/2251799813685248) (/.f64 (-.f64 (/.f64 (-.f64 -2 beta) (/.f64 alpha (/.f64 (+.f64 2 (*.f64 beta 2)) alpha))) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -2251349453722511/2251799813685248) (/.f64 (-.f64 (/.f64 (-.f64 -2 beta) (/.f64 alpha (/.f64 (+.f64 2 (*.f64 beta 2)) alpha))) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -2251349453722511/2251799813685248) (/.f64 (+.f64 (/.f64 (-.f64 -2 beta) (/.f64 alpha (/.f64 (+.f64 2 (*.f64 beta 2)) alpha))) (/.f64 (-.f64 beta (-.f64 -2 beta)) alpha)) 2) (/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -2251349453722511/2251799813685248) (/.f64 (+.f64 (/.f64 (-.f64 -2 beta) (/.f64 alpha (/.f64 (+.f64 2 (*.f64 beta 2)) alpha))) (/.f64 (+.f64 beta (-.f64 beta -2)) alpha)) 2) (/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -2251349453722511/2251799813685248) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -2251349453722511/2251799813685248) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -2251349453722511/2251799813685248) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -2251349453722511/2251799813685248) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2) (/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -2251349453722511/2251799813685248) (/.f64 (/.f64 (+.f64 2 (*.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)) -2251349453722511/2251799813685248) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))
(if (<=.f64 alpha 950000000000000) (/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 950000000000000) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2))
(if (<=.f64 alpha 950000000000000) (/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 alpha 950000000000000) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 beta -7090649168385425/17726622920963562283492833353875882150307419319860869157979152909707315649514250439943889552308992750523075148942386782770807567185698815677056677116184170553481231217950104164393978236130449019315710017470734562946173533283208371259654747728689409291887821024109648618981425152) (/.f64 (+.f64 (*.f64 beta 1/2) 1) 2) (if (<=.f64 beta -6278370745232035/10463951242053391806136963369726580181263718864311851635192874886429209483641954321222640418122029864527291727710479949464718215680589004332016189037791576956967351342601788071700268169006221818240189631008834448226154239518944108944497601509840881752510934060240763835605888507473266002770708660224) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 7149021523390683/7770675568902916283677847627294075626569627356208558085007249638955617140820833992704) (/.f64 (+.f64 1 (*.f64 alpha -1/2)) 2) (if (<=.f64 beta 4384504911992709/1461501637330902918203684832716283019655932542976) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (+.f64 (*.f64 beta 1/2) 1) 2) (-.f64 1 (/.f64 1 beta)))))))
(if (<=.f64 beta -7090649168385425/17726622920963562283492833353875882150307419319860869157979152909707315649514250439943889552308992750523075148942386782770807567185698815677056677116184170553481231217950104164393978236130449019315710017470734562946173533283208371259654747728689409291887821024109648618981425152) (/.f64 (+.f64 1 (*.f64 beta 1/2)) 2) (if (<=.f64 beta -6278370745232035/10463951242053391806136963369726580181263718864311851635192874886429209483641954321222640418122029864527291727710479949464718215680589004332016189037791576956967351342601788071700268169006221818240189631008834448226154239518944108944497601509840881752510934060240763835605888507473266002770708660224) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 7149021523390683/7770675568902916283677847627294075626569627356208558085007249638955617140820833992704) (/.f64 (+.f64 1 (*.f64 alpha -1/2)) 2) (if (<=.f64 beta 4384504911992709/1461501637330902918203684832716283019655932542976) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (+.f64 1 (*.f64 beta 1/2)) 2) (-.f64 1 (/.f64 1 beta)))))))
(if (<=.f64 beta -7090649168385425/17726622920963562283492833353875882150307419319860869157979152909707315649514250439943889552308992750523075148942386782770807567185698815677056677116184170553481231217950104164393978236130449019315710017470734562946173533283208371259654747728689409291887821024109648618981425152) (/.f64 (+.f64 1 (*.f64 beta 1/2)) 2) (if (<=.f64 beta -6278370745232035/10463951242053391806136963369726580181263718864311851635192874886429209483641954321222640418122029864527291727710479949464718215680589004332016189037791576956967351342601788071700268169006221818240189631008834448226154239518944108944497601509840881752510934060240763835605888507473266002770708660224) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 7149021523390683/7770675568902916283677847627294075626569627356208558085007249638955617140820833992704) (/.f64 (+.f64 1 (*.f64 alpha -1/2)) 2) (if (<=.f64 beta 4384504911992709/1461501637330902918203684832716283019655932542976) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (+.f64 1 (*.f64 beta 1/2)) 2) (+.f64 1 (/.f64 -1 beta)))))))
(if (<=.f64 beta -6569077225204113/117304950450073441093299338992332138457996243649210992760592177980666118165925495436678284352817677825758656549761022853424729541660972550965022826666248518125620733165482852770884817967017897067499683873717228533661411547573197142488509591988118713532416) (/.f64 (+.f64 1 (*.f64 alpha -1/2)) 2) (if (<=.f64 beta -8371160993642713/10463951242053391806136963369726580181263718864311851635192874886429209483641954321222640418122029864527291727710479949464718215680589004332016189037791576956967351342601788071700268169006221818240189631008834448226154239518944108944497601509840881752510934060240763835605888507473266002770708660224) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 7149021523390683/7770675568902916283677847627294075626569627356208558085007249638955617140820833992704) (/.f64 (+.f64 1 (*.f64 alpha -1/2)) 2) (if (<=.f64 beta 1461501637330903/730750818665451459101842416358141509827966271488) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 7656119366529843/4503599627370496) (/.f64 (+.f64 1 (*.f64 alpha -1/2)) 2) (-.f64 1 (/.f64 1 beta)))))))
(if (<=.f64 beta -6569077225204113/117304950450073441093299338992332138457996243649210992760592177980666118165925495436678284352817677825758656549761022853424729541660972550965022826666248518125620733165482852770884817967017897067499683873717228533661411547573197142488509591988118713532416) (/.f64 (+.f64 1 (*.f64 alpha -1/2)) 2) (if (<=.f64 beta -8371160993642713/10463951242053391806136963369726580181263718864311851635192874886429209483641954321222640418122029864527291727710479949464718215680589004332016189037791576956967351342601788071700268169006221818240189631008834448226154239518944108944497601509840881752510934060240763835605888507473266002770708660224) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 7149021523390683/7770675568902916283677847627294075626569627356208558085007249638955617140820833992704) (/.f64 (+.f64 1 (*.f64 alpha -1/2)) 2) (if (<=.f64 beta 1461501637330903/730750818665451459101842416358141509827966271488) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 7656119366529843/4503599627370496) (/.f64 (+.f64 1 (*.f64 alpha -1/2)) 2) (+.f64 1 (/.f64 -1 beta)))))))
(if (<=.f64 alpha 1400000000000000) 1 (/.f64 (/.f64 2 alpha) 2))
1
Compiler

Compiled 360 to 270 computations (25% saved)

soundness1.7s (15.6%)

Rules
1632×fma-define
1632×fma-define
1632×fma-define
1312×cancel-sign-sub-inv
1289×log1p-expm1-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01480
120680
2330980
0119441349
1353839975
031317
1631317
029342
1508312
01480
120680
2330980
0119441349
1353839975
03869408
111509050
243148897
086923113
1259120407
0119441349
1353839975
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 672 to 462 computations (31.3% saved)

end0.0ms (0%)

preprocess238.0ms (2.2%)

Compiler

Compiled 714 to 514 computations (28% saved)

Profiling

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