Octave 3.8, jcobi/1

Time bar (total: 12.1s)

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 (10.9%)

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
0.0ms256valid
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
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0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
Bogosity

preprocess596.0ms (4.9%)

Algorithm
egg-herbie
Rules
6132×fma-neg
1074×div-sub
820×sub-neg
700×associate-/r*
664×distribute-rgt-in
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: 15 (0.0ms)

IterNodesCost
038359
196351
2204351
3534343
41351343
53461343
66068343
76956343
87145343
97181343
107228343
117228343
127435343
137550343
147552343
157552315
Stop Event
node limit
Calls
Call 1
Inputs
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta (neg.f64 alpha)) (+.f64 (+.f64 (neg.f64 alpha) beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 (neg.f64 beta) alpha) (+.f64 (+.f64 alpha (neg.f64 beta)) 2)) 1) 2)
(neg.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta (neg.f64 alpha)) (+.f64 (+.f64 (neg.f64 alpha) beta) 2)) 1) 2))
(neg.f64 (/.f64 (+.f64 (/.f64 (-.f64 (neg.f64 beta) alpha) (+.f64 (+.f64 alpha (neg.f64 beta)) 2)) 1) 2))
(/.f64 (+.f64 (/.f64 (-.f64 alpha beta) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
Outputs
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
(-.f64 (/.f64 (/.f64 (-.f64 alpha beta) (-.f64 (-.f64 -2 alpha) beta)) 2) -1/2)
(+.f64 1/2 (/.f64 (/.f64 (-.f64 alpha beta) (-.f64 (-.f64 -2 alpha) beta)) 2))
(+.f64 1/2 (*.f64 (/.f64 (-.f64 alpha beta) (-.f64 (-.f64 -2 alpha) beta)) 1/2))
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 (-.f64 -2 alpha) beta)) 1/2 1/2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
(-.f64 (/.f64 (/.f64 (-.f64 alpha beta) (-.f64 (-.f64 -2 alpha) beta)) 2) -1/2)
(+.f64 1/2 (/.f64 (/.f64 (-.f64 alpha beta) (-.f64 (-.f64 -2 alpha) beta)) 2))
(+.f64 1/2 (*.f64 (/.f64 (-.f64 alpha beta) (-.f64 (-.f64 -2 alpha) beta)) 1/2))
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 (-.f64 -2 alpha) beta)) 1/2 1/2)
(/.f64 (+.f64 (/.f64 (-.f64 beta (neg.f64 alpha)) (+.f64 (+.f64 (neg.f64 alpha) beta) 2)) 1) 2)
(/.f64 (+.f64 1 (/.f64 (-.f64 beta (neg.f64 alpha)) (+.f64 2 (-.f64 beta alpha)))) 2)
(/.f64 (+.f64 1 (/.f64 (+.f64 beta alpha) (+.f64 2 (-.f64 beta alpha)))) 2)
(/.f64 (+.f64 1 (/.f64 (+.f64 beta alpha) (-.f64 beta (+.f64 alpha -2)))) 2)
(/.f64 (+.f64 1 (/.f64 (+.f64 beta alpha) (+.f64 beta (-.f64 2 alpha)))) 2)
(+.f64 (/.f64 (+.f64 beta alpha) (+.f64 4 (*.f64 -2 (-.f64 alpha beta)))) 1/2)
(+.f64 1/2 (/.f64 (/.f64 (+.f64 beta alpha) 2) (+.f64 beta (-.f64 2 alpha))))
(+.f64 1/2 (/.f64 (*.f64 (+.f64 beta alpha) -1/2) (+.f64 alpha (-.f64 -2 beta))))
(-.f64 1/2 (/.f64 (+.f64 beta alpha) (fma.f64 2 (-.f64 alpha beta) -4)))
(/.f64 (+.f64 (/.f64 (-.f64 (neg.f64 beta) alpha) (+.f64 (+.f64 alpha (neg.f64 beta)) 2)) 1) 2)
(/.f64 (+.f64 1 (/.f64 (-.f64 (neg.f64 beta) alpha) (+.f64 2 (-.f64 alpha beta)))) 2)
(/.f64 (+.f64 1 (/.f64 (-.f64 (neg.f64 beta) alpha) (+.f64 alpha (-.f64 2 beta)))) 2)
(/.f64 (-.f64 1 (/.f64 (+.f64 beta alpha) (+.f64 2 (-.f64 alpha beta)))) 2)
(+.f64 1/2 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 2 (-.f64 alpha beta))) -1/2))
(+.f64 1/2 (*.f64 (+.f64 beta alpha) (/.f64 1/2 (+.f64 beta (-.f64 -2 alpha)))))
(fma.f64 (+.f64 beta alpha) (/.f64 1/2 (+.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 (+.f64 1 (/.f64 (-.f64 beta (neg.f64 alpha)) (+.f64 2 (-.f64 beta alpha)))) -2)
(/.f64 (+.f64 1 (/.f64 (+.f64 beta alpha) (+.f64 2 (-.f64 beta alpha)))) -2)
(/.f64 (+.f64 1 (/.f64 (+.f64 beta alpha) (-.f64 beta (+.f64 alpha -2)))) -2)
(-.f64 -1/2 (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (-.f64 2 alpha))) 2))
(+.f64 -1/2 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (-.f64 2 alpha))) -1/2))
(+.f64 -1/2 (*.f64 (+.f64 beta alpha) (/.f64 1/2 (+.f64 alpha (-.f64 -2 beta)))))
(+.f64 -1/2 (/.f64 (+.f64 beta alpha) (fma.f64 2 (-.f64 alpha beta) -4)))
(neg.f64 (/.f64 (+.f64 (/.f64 (-.f64 (neg.f64 beta) alpha) (+.f64 (+.f64 alpha (neg.f64 beta)) 2)) 1) 2))
(/.f64 (+.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 (/.f64 (+.f64 beta alpha) (+.f64 2 (-.f64 alpha beta))) 2) 1/2)
(+.f64 -1/2 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (-.f64 -2 alpha))) -1/2))
(+.f64 -1/2 (*.f64 (+.f64 beta alpha) (/.f64 1/2 (+.f64 2 (-.f64 alpha beta)))))
(+.f64 -1/2 (/.f64 (+.f64 beta alpha) (fma.f64 2 (-.f64 alpha beta) 4)))
(/.f64 (+.f64 (/.f64 (-.f64 alpha beta) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
(/.f64 (+.f64 1 (/.f64 (-.f64 alpha beta) (+.f64 beta (+.f64 alpha 2)))) 2)
(/.f64 (+.f64 1 (/.f64 (-.f64 alpha beta) (+.f64 (+.f64 beta alpha) 2))) 2)
(/.f64 (-.f64 1 (/.f64 (-.f64 alpha beta) (-.f64 (-.f64 -2 alpha) beta))) 2)
(+.f64 1/2 (*.f64 (/.f64 (-.f64 alpha beta) (-.f64 (-.f64 -2 alpha) beta)) -1/2))
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 (-.f64 -2 alpha) beta)) -1/2 1/2)
Compiler

Compiled 117 to 59 computations (49.6% saved)

eval2.0ms (0%)

Compiler

Compiled 79 to 51 computations (35.4% saved)

prune2.0ms (0%)

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

Compiled 15 to 11 computations (26.7% saved)

localize64.0ms (0.5%)

Localize:

Found 2 expressions with local error:

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

Compiled 51 to 24 computations (52.9% saved)

series17.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
3.0ms
alpha
@0
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)
2.0ms
beta
@0
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)
2.0ms
alpha
@inf
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)
1.0ms
alpha
@-inf
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)
1.0ms
beta
@0
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))

rewrite288.0ms (2.4%)

Algorithm
batch-egg-rewrite
Rules
1235×log1p-expm1-u
1235×expm1-log1p-u
708×fma-neg
95×add-cube-cbrt
93×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01480
120280
2317480
Stop Event
node limit
Counts
2 → 116
Calls
Call 1
Inputs
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))
Outputs
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 1)
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))
(-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))
(*.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))
(*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1)
(*.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(*.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))))
(/.f64 1 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)) (neg.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(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 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (-.f64 (/.f64 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 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (neg.f64 (-.f64 (/.f64 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 (pow.f64 (cbrt.f64 beta) 2) (/.f64 (cbrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (-.f64 (/.f64 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)
(fma.f64 (sqrt.f64 beta) (/.f64 (sqrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 beta (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 beta (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (cbrt.f64 beta) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2)) (neg.f64 (-.f64 (/.f64 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 beta (+.f64 alpha 2))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (*.f64 (cbrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (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 beta (+.f64 alpha 2))))
(*.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)))))
(neg.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))))
(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))
(fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) -1)
(fma.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1 -1)
(fma.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) -1)
(fma.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)) -1)
(fma.f64 (pow.f64 (cbrt.f64 beta) 2) (/.f64 (cbrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.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)) -1)
(fma.f64 (sqrt.f64 beta) (/.f64 (sqrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.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)))))) -1)
(fma.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)) -1)
(fma.f64 (*.f64 (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 beta (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 beta (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (cbrt.f64 beta) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2)) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))

simplify157.0ms (1.3%)

Algorithm
egg-herbie
Rules
1404×fma-neg
894×unswap-sqr
690×sub-neg
506×fma-define
408×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
045112390
1128411925
2466011696
Stop Event
node limit
Counts
164 → 324
Calls
Call 1
Inputs
(-.f64 1 (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 1 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 1 (+.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 1 (+.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))))))) (/.f64 alpha (+.f64 2 alpha)))
2
(+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)))
(-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (*.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))))
2
(-.f64 (+.f64 2 (*.f64 -1 (/.f64 alpha beta))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(+.f64 1 (/.f64 beta (+.f64 2 beta)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (+.f64 (*.f64 (pow.f64 alpha 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 3))))) (/.f64 beta (+.f64 2 beta)))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))) (+.f64 (*.f64 (pow.f64 alpha 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 3))))) (/.f64 beta (+.f64 2 beta))))))
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))) (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 2 (/.f64 1 alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3))) (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 2 (/.f64 1 alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3))) (+.f64 (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2)) (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 3)) (pow.f64 alpha 4)))))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 3)) (pow.f64 (+.f64 2 beta) 4)) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3))))))
(*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))
(+.f64 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))))
(+.f64 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (+.f64 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))))
(+.f64 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (+.f64 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 3) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))))))))
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha beta))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha beta))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(/.f64 beta (+.f64 2 beta))
(+.f64 (*.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta)))
(+.f64 (*.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (+.f64 (/.f64 beta (+.f64 2 beta)) (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (+.f64 2 beta))))
(+.f64 (*.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))) (+.f64 (/.f64 beta (+.f64 2 beta)) (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (+.f64 2 beta)))))
-1
(-.f64 (/.f64 beta alpha) (+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 beta) alpha))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 beta) (-.f64 beta (*.f64 -1 (+.f64 2 beta)))) (pow.f64 alpha 2))) (/.f64 beta alpha)) (+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 beta) alpha))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 beta) (-.f64 beta (*.f64 -1 (+.f64 2 beta)))) (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 (pow.f64 (+.f64 2 beta) 2) (-.f64 beta (*.f64 -1 (+.f64 2 beta)))) (pow.f64 alpha 3)))) (+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 beta) alpha))))
-1
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha)) (/.f64 (*.f64 (+.f64 2 beta) (-.f64 (*.f64 -1 beta) (+.f64 2 beta))) (pow.f64 alpha 2))) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 beta) 2) (-.f64 (*.f64 -1 beta) (+.f64 2 beta))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha)) (/.f64 (*.f64 (+.f64 2 beta) (-.f64 (*.f64 -1 beta) (+.f64 2 beta))) (pow.f64 alpha 2)))) 1)
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 1)
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))
(-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))
(*.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))
(*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1)
(*.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(*.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))))
(/.f64 1 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)) (neg.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(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 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (-.f64 (/.f64 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 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (neg.f64 (-.f64 (/.f64 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 (pow.f64 (cbrt.f64 beta) 2) (/.f64 (cbrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (-.f64 (/.f64 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)
(fma.f64 (sqrt.f64 beta) (/.f64 (sqrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 beta (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 beta (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (cbrt.f64 beta) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2)) (neg.f64 (-.f64 (/.f64 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 beta (+.f64 alpha 2))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (*.f64 (cbrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (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 beta (+.f64 alpha 2))))
(*.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)))))
(neg.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))))
(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))
(fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) -1)
(fma.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1 -1)
(fma.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) -1)
(fma.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)) -1)
(fma.f64 (pow.f64 (cbrt.f64 beta) 2) (/.f64 (cbrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.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)) -1)
(fma.f64 (sqrt.f64 beta) (/.f64 (sqrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.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)))))) -1)
(fma.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)) -1)
(fma.f64 (*.f64 (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 beta (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 beta (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (cbrt.f64 beta) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2)) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
Outputs
(-.f64 1 (/.f64 alpha (+.f64 2 alpha)))
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(+.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 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 1 (fma.f64 beta (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 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)))
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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))
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2
(-.f64 (+.f64 2 (*.f64 -1 (/.f64 alpha beta))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(+.f64 2 (-.f64 (/.f64 (neg.f64 alpha) beta) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))))
(-.f64 (-.f64 2 (/.f64 alpha beta)) (+.f64 (/.f64 alpha beta) (/.f64 2 beta)))
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(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (fma.f64 2 beta 2) alpha)
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(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha))
(neg.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha))
(/.f64 (-.f64 (-.f64 -2 beta) beta) (neg.f64 alpha))
(/.f64 (+.f64 beta (+.f64 2 beta)) alpha)
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(*.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) beta) (/.f64 (+.f64 2 beta) (pow.f64 alpha 2))) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha))
(fma.f64 (+.f64 2 beta) (/.f64 (-.f64 (-.f64 -2 beta) beta) (pow.f64 alpha 2)) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha))
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(fma.f64 -1 (/.f64 (fma.f64 beta (+.f64 2 beta) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2)) (fma.f64 -1 (/.f64 (-.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 (+.f64 2 beta) 2) (pow.f64 alpha 3))))))
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(+.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))))))
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(+.f64 -1 (/.f64 (-.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)) (-.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2))))
(fma.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)) -1)
(fma.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (/.f64 1 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) -1)
(+.f64 -1 (/.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))))
(+.f64 -1 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 beta (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha 2) beta)) 2)) (/.f64 beta (cbrt.f64 (+.f64 (+.f64 alpha 2) beta))) (/.f64 alpha (neg.f64 (+.f64 (+.f64 alpha 2) beta))))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (/.f64 beta (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 alpha (-.f64 (-.f64 -2 beta) alpha)))
(+.f64 (/.f64 alpha (-.f64 (-.f64 -2 beta) alpha)) (/.f64 (/.f64 beta (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)))
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 beta (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 (+.f64 alpha 2) beta))) (/.f64 beta (sqrt.f64 (+.f64 (+.f64 alpha 2) beta))) (/.f64 alpha (neg.f64 (+.f64 (+.f64 alpha 2) beta))))
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 beta (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 alpha (-.f64 (-.f64 -2 beta) alpha)))
(+.f64 (/.f64 alpha (-.f64 (-.f64 -2 beta) alpha)) (/.f64 (/.f64 beta (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (cbrt.f64 beta) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha 2) beta)) 2)) (/.f64 (cbrt.f64 beta) (cbrt.f64 (+.f64 (+.f64 alpha 2) beta))) (/.f64 alpha (neg.f64 (+.f64 (+.f64 alpha 2) beta))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (/.f64 (cbrt.f64 beta) (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 alpha (-.f64 (-.f64 -2 beta) alpha)))
(+.f64 (/.f64 alpha (-.f64 (-.f64 -2 beta) alpha)) (pow.f64 (/.f64 (cbrt.f64 beta) (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))) 3))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 (+.f64 alpha 2) beta))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 (+.f64 alpha 2) beta))) (/.f64 alpha (neg.f64 (+.f64 (+.f64 alpha 2) beta))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 alpha (-.f64 (-.f64 -2 beta) alpha)))
(fma.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(fma.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha 2) beta)) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 (+.f64 alpha 2) beta))) (/.f64 alpha (neg.f64 (+.f64 (+.f64 alpha 2) beta))))
(fma.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 alpha (-.f64 (-.f64 -2 beta) alpha)))
(fma.f64 (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 (+.f64 alpha 2) beta))) (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 (+.f64 alpha 2) beta))) (/.f64 alpha (neg.f64 (+.f64 (+.f64 alpha 2) beta))))
(fma.f64 (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 alpha (-.f64 (-.f64 -2 beta) alpha)))
(fma.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 alpha beta) 3) 8)) (-.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) 4) (*.f64 2 (+.f64 alpha beta))) (/.f64 alpha (neg.f64 (+.f64 (+.f64 alpha 2) beta))))
(fma.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 alpha beta) 3) 8)) (+.f64 4 (+.f64 (*.f64 (+.f64 alpha beta) -2) (pow.f64 (+.f64 alpha beta) 2))) (/.f64 alpha (-.f64 (-.f64 -2 beta) alpha)))
(fma.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2)) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (-.f64 (+.f64 alpha beta) 2) (/.f64 alpha (neg.f64 (+.f64 (+.f64 alpha 2) beta))))
(fma.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (+.f64 alpha (+.f64 -2 beta)) (/.f64 alpha (-.f64 (-.f64 -2 beta) alpha)))

eval226.0ms (1.9%)

Compiler

Compiled 10041 to 7063 computations (29.7% saved)

prune78.0ms (0.6%)

Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New31212324
Fresh000
Picked011
Done000
Total31213325
Accuracy
100.0%
Counts
325 → 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)
25.6%
(/.f64 (-.f64 (*.f64 (-.f64 (-.f64 -2 beta) beta) (/.f64 (+.f64 2 beta) (pow.f64 alpha 2))) (/.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 beta alpha) 2)) 1) 2)
75.1%
(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
23.7%
(/.f64 (+.f64 (-.f64 (-.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 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4))) (*.f64 beta (+.f64 (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 4))))) (*.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3)))) 2)
76.9%
(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2)
23.7%
(/.f64 (+.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)))))) 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 585 to 457 computations (21.9% saved)

localize337.0ms (2.8%)

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)

series49.0ms (0.4%)

Counts
10 → 204
Calls

54 calls:

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

rewrite146.0ms (1.2%)

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 → 430
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 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 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 (+.f64 (neg.f64 (+.f64 alpha 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)))))
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(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 2))) (neg.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) -1)) (neg.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -1)))
(/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (+.f64 (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1) 3)) (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (-.f64 (*.f64 (+.f64 (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1) (+.f64 (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1)) (*.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (+.f64 (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1)))))
(/.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (*.f64 (+.f64 (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1) (+.f64 (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1))) (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (+.f64 (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
(pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 3)
(pow.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 2))
(log.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1))
(fma.f64 beta (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (+.f64 (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1))
(fma.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (+.f64 (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1))
(fma.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)
(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 (-.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)) (+.f64 (neg.f64 (+.f64 alpha 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 (+.f64 (neg.f64 (+.f64 alpha beta)) -2)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (neg.f64 alpha))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (neg.f64 (+.f64 alpha 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 (+.f64 (neg.f64 (+.f64 alpha beta)) -2) (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta) (neg.f64 alpha))) (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta) (+.f64 (neg.f64 (+.f64 alpha beta)) -2)))
(/.f64 (-.f64 (*.f64 (neg.f64 beta) (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 (neg.f64 (+.f64 alpha beta)) -2) alpha)) (*.f64 (+.f64 (neg.f64 (+.f64 alpha beta)) -2) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (-.f64 (*.f64 (neg.f64 beta) (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha)) (*.f64 (+.f64 (neg.f64 (+.f64 alpha beta)) -2) 1)) (*.f64 (+.f64 (neg.f64 (+.f64 alpha beta)) -2) (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha)))
(/.f64 (-.f64 (*.f64 (neg.f64 beta) (+.f64 (neg.f64 (+.f64 alpha beta)) -2)) (*.f64 (+.f64 (neg.f64 (+.f64 alpha beta)) -2) (neg.f64 alpha))) (*.f64 (+.f64 (neg.f64 (+.f64 alpha beta)) -2) (+.f64 (neg.f64 (+.f64 alpha beta)) -2)))
(/.f64 (*.f64 -1 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (*.f64 (+.f64 (neg.f64 (+.f64 alpha beta)) -2) (fma.f64 beta beta (*.f64 alpha (+.f64 alpha beta)))))
(/.f64 (*.f64 -1 (-.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 (+.f64 (neg.f64 (+.f64 alpha 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))) (+.f64 (neg.f64 (+.f64 alpha 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) (+.f64 (neg.f64 (+.f64 alpha beta)) -2)))
(/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 (neg.f64 (+.f64 alpha 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) (+.f64 (neg.f64 (+.f64 alpha beta)) -2))
(/.f64 (*.f64 -1 (-.f64 beta alpha)) (+.f64 (neg.f64 (+.f64 alpha 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 (+.f64 (neg.f64 (+.f64 alpha 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)
(neg.f64 (/.f64 -1 (+.f64 alpha (+.f64 beta 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))

simplify363.0ms (3%)

Algorithm
egg-herbie
Rules
792×times-frac
726×distribute-rgt-in
716×distribute-lft-in
498×sub-neg
472×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0120641548
1359740182
Stop Event
node limit
Counts
634 → 842
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))))
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(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1))
(fma.f64 beta (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (+.f64 (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1))
(fma.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (+.f64 (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1))
(fma.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)
(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 (-.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)) (+.f64 (neg.f64 (+.f64 alpha 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 (+.f64 (neg.f64 (+.f64 alpha beta)) -2)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (neg.f64 alpha))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (neg.f64 (+.f64 alpha 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 (+.f64 (neg.f64 (+.f64 alpha beta)) -2) (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta) (neg.f64 alpha))) (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta) (+.f64 (neg.f64 (+.f64 alpha beta)) -2)))
(/.f64 (-.f64 (*.f64 (neg.f64 beta) (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 (neg.f64 (+.f64 alpha beta)) -2) alpha)) (*.f64 (+.f64 (neg.f64 (+.f64 alpha beta)) -2) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (-.f64 (*.f64 (neg.f64 beta) (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha)) (*.f64 (+.f64 (neg.f64 (+.f64 alpha beta)) -2) 1)) (*.f64 (+.f64 (neg.f64 (+.f64 alpha beta)) -2) (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha)))
(/.f64 (-.f64 (*.f64 (neg.f64 beta) (+.f64 (neg.f64 (+.f64 alpha beta)) -2)) (*.f64 (+.f64 (neg.f64 (+.f64 alpha beta)) -2) (neg.f64 alpha))) (*.f64 (+.f64 (neg.f64 (+.f64 alpha beta)) -2) (+.f64 (neg.f64 (+.f64 alpha beta)) -2)))
(/.f64 (*.f64 -1 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (*.f64 (+.f64 (neg.f64 (+.f64 alpha beta)) -2) (fma.f64 beta beta (*.f64 alpha (+.f64 alpha beta)))))
(/.f64 (*.f64 -1 (-.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 (+.f64 (neg.f64 (+.f64 alpha 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))) (+.f64 (neg.f64 (+.f64 alpha 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) (+.f64 (neg.f64 (+.f64 alpha beta)) -2)))
(/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 (neg.f64 (+.f64 alpha 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) (+.f64 (neg.f64 (+.f64 alpha beta)) -2))
(/.f64 (*.f64 -1 (-.f64 beta alpha)) (+.f64 (neg.f64 (+.f64 alpha 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 (+.f64 (neg.f64 (+.f64 alpha 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)
(neg.f64 (/.f64 -1 (+.f64 alpha (+.f64 beta 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 (-.f64 -2 beta) alpha) (/.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 (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 (-.f64 -2 beta) alpha) (/.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 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 alpha (/.f64 beta (pow.f64 (+.f64 alpha 2) 2))) (/.f64 alpha (+.f64 alpha 2))) -1)
(+.f64 (-.f64 (/.f64 alpha (+.f64 alpha 2)) (*.f64 alpha (/.f64 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 alpha (/.f64 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 alpha (/.f64 beta (pow.f64 (+.f64 alpha 2) 2)))) (*.f64 alpha (/.f64 (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 alpha (/.f64 beta (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 -1 (/.f64 (*.f64 alpha (pow.f64 beta 3)) (pow.f64 (+.f64 alpha 2) 4)) (+.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 (*.f64 alpha (pow.f64 beta 2)) (pow.f64 (+.f64 alpha 2) 3))))) -1)
(+.f64 (-.f64 (-.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (*.f64 alpha (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 3)))) (/.f64 (*.f64 alpha (pow.f64 beta 3)) (pow.f64 (+.f64 alpha 2) 4))) (*.f64 alpha (/.f64 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 (+.f64 alpha 2) (pow.f64 beta 2))) (/.f64 alpha beta)) -1)
(+.f64 (-.f64 (/.f64 alpha beta) (*.f64 alpha (/.f64 (+.f64 alpha 2) (pow.f64 beta 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 (+.f64 alpha 2) (pow.f64 beta 2))) (/.f64 alpha beta)) (*.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3)))) -1)
(+.f64 (+.f64 (-.f64 (/.f64 alpha beta) (*.f64 alpha (/.f64 (+.f64 alpha 2) (pow.f64 beta 2)))) (*.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3)))) -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 (+.f64 alpha 2) (pow.f64 beta 2))) (/.f64 alpha beta)) -1)
(+.f64 (-.f64 (/.f64 alpha beta) (*.f64 alpha (/.f64 (+.f64 alpha 2) (pow.f64 beta 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 (+.f64 alpha 2) (pow.f64 beta 2))) (/.f64 alpha beta)) (*.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3)))) -1)
(+.f64 (+.f64 (-.f64 (/.f64 alpha beta) (*.f64 alpha (/.f64 (+.f64 alpha 2) (pow.f64 beta 2)))) (*.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3)))) -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)))))
(+.f64 (-.f64 1 (/.f64 (+.f64 alpha 2) beta)) (-.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))))
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)))))
(+.f64 (-.f64 1 (/.f64 (+.f64 alpha 2) beta)) (-.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))))
(/.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 alpha (/.f64 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))))
(+.f64 (fma.f64 -1 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 2 beta) 2)) (/.f64 beta (+.f64 2 beta))) (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 2 beta) 3)))
(+.f64 (-.f64 (/.f64 beta (+.f64 2 beta)) (*.f64 alpha (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (*.f64 (pow.f64 alpha 2) (/.f64 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)))))
(fma.f64 -1 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 2 beta) 2)) (fma.f64 -1 (*.f64 (pow.f64 alpha 3) (/.f64 beta (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 (pow.f64 alpha 2) (/.f64 beta (pow.f64 (+.f64 2 beta) 3))) (/.f64 beta (+.f64 2 beta))) (*.f64 (pow.f64 alpha 3) (/.f64 beta (pow.f64 (+.f64 2 beta) 4)))) (*.f64 alpha (/.f64 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 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2)) (/.f64 beta alpha))
(+.f64 (/.f64 beta alpha) (*.f64 beta (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2))))
(+.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 (fma.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2)) (/.f64 beta alpha)) (*.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3))))
(+.f64 (+.f64 (/.f64 beta alpha) (*.f64 beta (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)))) (*.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 3)) (pow.f64 alpha 4))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3)))))
(fma.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2)) (fma.f64 -1 (*.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 4))) (+.f64 (/.f64 beta alpha) (*.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3))))))
(+.f64 (*.f64 beta (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2))) (-.f64 (+.f64 (/.f64 beta alpha) (*.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3)))) (*.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 4)))))
(/.f64 beta alpha)
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))) (/.f64 beta alpha))
(fma.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2)) (/.f64 beta alpha))
(+.f64 (/.f64 beta alpha) (*.f64 beta (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2))))
(+.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 (fma.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2)) (/.f64 beta alpha)) (*.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3))))
(+.f64 (+.f64 (/.f64 beta alpha) (*.f64 beta (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)))) (*.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 3)) (pow.f64 alpha 4))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3)))))
(fma.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2)) (fma.f64 -1 (*.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 4))) (+.f64 (/.f64 beta alpha) (*.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3))))))
(+.f64 (*.f64 beta (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2))) (-.f64 (+.f64 (/.f64 beta alpha) (*.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3)))) (*.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 4)))))
(/.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 alpha (/.f64 beta (pow.f64 (+.f64 alpha 2) 2))) (/.f64 alpha (+.f64 alpha 2)))
(-.f64 (/.f64 alpha (+.f64 alpha 2)) (*.f64 alpha (/.f64 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))))
(+.f64 (fma.f64 -1 (*.f64 alpha (/.f64 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)))
(+.f64 (-.f64 (/.f64 alpha (+.f64 alpha 2)) (*.f64 alpha (/.f64 beta (pow.f64 (+.f64 alpha 2) 2)))) (*.f64 alpha (/.f64 (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 alpha (/.f64 beta (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 -1 (/.f64 (*.f64 alpha (pow.f64 beta 3)) (pow.f64 (+.f64 alpha 2) 4)) (+.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 (*.f64 alpha (pow.f64 beta 2)) (pow.f64 (+.f64 alpha 2) 3)))))
(-.f64 (-.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (*.f64 alpha (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 3)))) (/.f64 (*.f64 alpha (pow.f64 beta 3)) (pow.f64 (+.f64 alpha 2) 4))) (*.f64 alpha (/.f64 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 (+.f64 alpha 2) (pow.f64 beta 2))) (/.f64 alpha beta))
(-.f64 (/.f64 alpha beta) (*.f64 alpha (/.f64 (+.f64 alpha 2) (pow.f64 beta 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 (+.f64 alpha 2) (pow.f64 beta 2))) (/.f64 alpha beta)) (*.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3))))
(+.f64 (-.f64 (/.f64 alpha beta) (*.f64 alpha (/.f64 (+.f64 alpha 2) (pow.f64 beta 2)))) (*.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 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)))))
(fma.f64 -1 (*.f64 alpha (/.f64 (+.f64 alpha 2) (pow.f64 beta 2))) (fma.f64 -1 (*.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 4))) (+.f64 (/.f64 alpha beta) (*.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3))))))
(-.f64 (-.f64 (+.f64 (/.f64 alpha beta) (*.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3)))) (*.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 4)))) (*.f64 alpha (/.f64 (+.f64 alpha 2) (pow.f64 beta 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 (+.f64 alpha 2) (pow.f64 beta 2))) (/.f64 alpha beta))
(-.f64 (/.f64 alpha beta) (*.f64 alpha (/.f64 (+.f64 alpha 2) (pow.f64 beta 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 (+.f64 alpha 2) (pow.f64 beta 2))) (/.f64 alpha beta)) (*.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3))))
(+.f64 (-.f64 (/.f64 alpha beta) (*.f64 alpha (/.f64 (+.f64 alpha 2) (pow.f64 beta 2)))) (*.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 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)))))
(fma.f64 -1 (*.f64 alpha (/.f64 (+.f64 alpha 2) (pow.f64 beta 2))) (fma.f64 -1 (*.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 4))) (+.f64 (/.f64 alpha beta) (*.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3))))))
(-.f64 (-.f64 (+.f64 (/.f64 alpha beta) (*.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3)))) (*.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 4)))) (*.f64 alpha (/.f64 (+.f64 alpha 2) (pow.f64 beta 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)))
(-.f64 (+.f64 1 (*.f64 beta (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))))) (/.f64 alpha (+.f64 alpha 2)))
(+.f64 1 (fma.f64 beta (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) (/.f64 alpha (fma.f64 -1 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 (+.f64 1 (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 (+.f64 1 (+.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))))))) (/.f64 alpha (+.f64 2 alpha)))
(+.f64 1 (-.f64 (fma.f64 beta (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 (pow.f64 beta 2) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)))))) (/.f64 alpha (+.f64 alpha 2))))
(+.f64 1 (-.f64 (fma.f64 beta (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 (pow.f64 beta 2) (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)))))) (/.f64 alpha (+.f64 alpha 2))))
2
(+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)))
(+.f64 2 (neg.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta)))
(-.f64 2 (/.f64 (+.f64 2 (*.f64 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 alpha 2)) beta) (*.f64 alpha (/.f64 (+.f64 alpha 2) (pow.f64 beta 2)))) (neg.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2)))))
(+.f64 (+.f64 (-.f64 2 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta)) (*.f64 alpha (/.f64 (+.f64 alpha 2) (pow.f64 beta 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 (+.f64 alpha 2) 2) (pow.f64 beta 3))) (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) (*.f64 alpha (/.f64 (+.f64 alpha 2) (pow.f64 beta 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 (+.f64 alpha 2) (pow.f64 beta 2))) (/.f64 (+.f64 2 (*.f64 alpha 2)) beta)) (*.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3)))) (-.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 (+.f64 alpha 2) (pow.f64 beta 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 (+.f64 alpha 2) (pow.f64 beta 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 (+.f64 alpha 2) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2))))))
(+.f64 2 (-.f64 (-.f64 (+.f64 (*.f64 alpha (/.f64 (+.f64 alpha 2) (pow.f64 beta 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 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 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (+.f64 2 beta))))))
(/.f64 (+.f64 2 (*.f64 2 beta)) 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 2 beta) 2) (pow.f64 alpha 2)) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2)))
(+.f64 (-.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (*.f64 beta (/.f64 (-.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 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 (+.f64 2 beta) 2) (pow.f64 alpha 3))) (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))))
(-.f64 (-.f64 (+.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3))) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (-.f64 (*.f64 beta (/.f64 (+.f64 2 beta) (pow.f64 alpha 2))) (*.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3)))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 2 (/.f64 1 alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3))) (+.f64 (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2)) (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 3)) (pow.f64 alpha 4)))))
(-.f64 (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4)) (+.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3))))) (fma.f64 -1 (*.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3))) (+.f64 (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2)) (*.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 4))))))
(-.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 (+.f64 2 beta) (pow.f64 alpha 2))) (*.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3)))) (*.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 4)))))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha))
(neg.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 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 beta (+.f64 2 beta)) alpha) (*.f64 (-.f64 -2 beta) (/.f64 (+.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)))))
(fma.f64 -1 (/.f64 (fma.f64 beta (+.f64 2 beta) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2)) (fma.f64 -1 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (*.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3))))))
(+.f64 (*.f64 (-.f64 -2 beta) (/.f64 (+.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (+.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) (*.f64 beta (/.f64 (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))))))
(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 (+.f64 2 beta) 2) (pow.f64 alpha 3)))))))
(+.f64 (*.f64 (-.f64 -2 beta) (/.f64 (+.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))) (-.f64 (+.f64 (+.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) (*.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3)))) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3))) (/.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))
(+.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)))
(+.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))))
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 (+.f64 1 (/.f64 4 (pow.f64 beta 2))) (/.f64 2 beta))
(+.f64 1 (+.f64 (/.f64 4 (pow.f64 beta 2)) (/.f64 -2 beta)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 8 (/.f64 1 (pow.f64 beta 3)))))
(-.f64 (+.f64 1 (/.f64 4 (pow.f64 beta 2))) (+.f64 (/.f64 2 beta) (/.f64 8 (pow.f64 beta 3))))
(+.f64 1 (-.f64 (/.f64 4 (pow.f64 beta 2)) (+.f64 (/.f64 2 beta) (/.f64 8 (pow.f64 beta 3)))))
1
(-.f64 1 (*.f64 2 (/.f64 1 beta)))
(-.f64 1 (/.f64 2 beta))
(+.f64 1 (/.f64 -2 beta))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 1 (/.f64 4 (pow.f64 beta 2))) (/.f64 2 beta))
(+.f64 1 (+.f64 (/.f64 4 (pow.f64 beta 2)) (/.f64 -2 beta)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 8 (/.f64 1 (pow.f64 beta 3)))))
(-.f64 (+.f64 1 (/.f64 4 (pow.f64 beta 2))) (+.f64 (/.f64 2 beta) (/.f64 8 (pow.f64 beta 3))))
(+.f64 1 (-.f64 (/.f64 4 (pow.f64 beta 2)) (+.f64 (/.f64 2 beta) (/.f64 8 (pow.f64 beta 3)))))
1
(+.f64 1 (*.f64 1/2 beta))
(+.f64 1 (*.f64 beta 1/2))
(+.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 (+.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))))
2
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(-.f64 2 (/.f64 2 beta))
(+.f64 2 (/.f64 -2 beta))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta)))
(+.f64 2 (-.f64 (/.f64 4 (pow.f64 beta 2)) (/.f64 2 beta)))
(+.f64 2 (+.f64 (/.f64 4 (pow.f64 beta 2)) (/.f64 -2 beta)))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 8 (/.f64 1 (pow.f64 beta 3)))))
(+.f64 2 (-.f64 (/.f64 4 (pow.f64 beta 2)) (+.f64 (/.f64 2 beta) (/.f64 8 (pow.f64 beta 3)))))
2
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(-.f64 2 (/.f64 2 beta))
(+.f64 2 (/.f64 -2 beta))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta)))
(+.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 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)))
(-.f64 (+.f64 1 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 1 (*.f64 beta (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))))) (/.f64 alpha (+.f64 alpha 2)))
(+.f64 1 (fma.f64 beta (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) (/.f64 alpha (fma.f64 -1 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 (+.f64 1 (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)))
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(-.f64 (+.f64 1 (+.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))))))) (/.f64 alpha (+.f64 2 alpha)))
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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 (+.f64 2 (*.f64 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))))
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(+.f64 (+.f64 (-.f64 2 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta)) (*.f64 alpha (/.f64 (+.f64 alpha 2) (pow.f64 beta 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 (+.f64 alpha 2) 2) (pow.f64 beta 3))) (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) (*.f64 alpha (/.f64 (+.f64 alpha 2) (pow.f64 beta 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 (+.f64 alpha 2) (pow.f64 beta 2))) (/.f64 (+.f64 2 (*.f64 alpha 2)) beta)) (*.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3)))) (-.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 (+.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 (-.f64 2 (/.f64 alpha beta)) (/.f64 -2 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 (fma.f64 -1 (/.f64 alpha beta) (neg.f64 (*.f64 (+.f64 alpha 2) (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (pow.f64 beta 2)))))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta)))
(-.f64 (-.f64 (-.f64 2 (/.f64 alpha beta)) (*.f64 (+.f64 alpha 2) (/.f64 (-.f64 (fma.f64 -1 alpha -2) alpha) (pow.f64 beta 2)))) (+.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 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (pow.f64 beta 2))) (/.f64 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))) (pow.f64 beta 3)))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))))
(+.f64 2 (-.f64 (-.f64 (-.f64 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (-.f64 (fma.f64 -1 alpha -2) alpha) (pow.f64 beta 3))) (*.f64 (+.f64 alpha 2) (/.f64 (-.f64 (fma.f64 -1 alpha -2) alpha) (pow.f64 beta 2)))) (/.f64 alpha beta)) (+.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 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 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 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (+.f64 2 beta))))))
(/.f64 (+.f64 2 (*.f64 2 beta)) 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 2 beta) 2) (pow.f64 alpha 2)) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2)))
(+.f64 (-.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (*.f64 beta (/.f64 (-.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 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 (+.f64 2 beta) 2) (pow.f64 alpha 3))) (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))))
(-.f64 (-.f64 (+.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3))) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (-.f64 (*.f64 beta (/.f64 (+.f64 2 beta) (pow.f64 alpha 2))) (*.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3)))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 2 (/.f64 1 alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3))) (+.f64 (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2)) (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 3)) (pow.f64 alpha 4)))))
(-.f64 (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4)) (+.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3))))) (fma.f64 -1 (*.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3))) (+.f64 (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2)) (*.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 4))))))
(-.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 (+.f64 2 beta) (pow.f64 alpha 2))) (*.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3)))) (*.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 4)))))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha))
(neg.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 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 beta (+.f64 2 beta)) alpha) (*.f64 (-.f64 -2 beta) (/.f64 (+.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))))
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(fma.f64 beta (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
(fma.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 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)))))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 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 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))))) 1)
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (+.f64 alpha beta) 2))))
(*.f64 1 (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
(/.f64 1 (+.f64 (+.f64 alpha beta) 2))
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) 1)
(/.f64 1 (+.f64 (+.f64 alpha beta) 2))
(*.f64 -1 (/.f64 1 (+.f64 (neg.f64 (+.f64 alpha beta)) -2)))
(/.f64 1 (+.f64 (+.f64 alpha beta) 2))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))) (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 (+.f64 alpha beta) 2) -2)) 1) (cbrt.f64 (+.f64 (+.f64 alpha beta) 2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 (+.f64 alpha beta) 2) -2)) (cbrt.f64 (+.f64 (+.f64 alpha beta) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)) (/.f64 1 (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 (+.f64 alpha beta) 2) -2)) 1) (cbrt.f64 (+.f64 (+.f64 alpha beta) 2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 (+.f64 alpha beta) 2) -2)) (cbrt.f64 (+.f64 (+.f64 alpha beta) 2)))
(*.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -1/2) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -1/2))
(/.f64 1 (+.f64 (+.f64 alpha beta) 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 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha beta) 2)) 2)) (/.f64 1 (cbrt.f64 (+.f64 (+.f64 alpha beta) 2))))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) -1) (pow.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) -1))
(pow.f64 (sqrt.f64 (+.f64 (+.f64 alpha beta) 2)) -2)
(*.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 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))))
(/.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))) (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)))
(*.f64 (/.f64 1 (-.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)))
(*.f64 (-.f64 (-.f64 beta alpha) 2) (/.f64 1 (-.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 2))))
(/.f64 (+.f64 (-.f64 beta alpha) -2) (-.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 2)))
(pow.f64 (+.f64 alpha (+.f64 beta 2)) -1)
(/.f64 1 (+.f64 (+.f64 alpha beta) 2))
(pow.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) 1)
(/.f64 1 (+.f64 (+.f64 alpha beta) 2))
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))) 3)
(/.f64 1 (+.f64 (+.f64 alpha beta) 2))
(pow.f64 (pow.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) 3) 1/3)
(/.f64 1 (+.f64 (+.f64 alpha beta) 2))
(pow.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -1/2) 2)
(/.f64 1 (+.f64 (+.f64 alpha beta) 2))
(neg.f64 (/.f64 -1 (+.f64 alpha (+.f64 beta 2))))
(/.f64 1 (+.f64 (+.f64 alpha beta) 2))
(sqrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2))
(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))

eval561.0ms (4.7%)

Compiler

Compiled 23534 to 16661 computations (29.2% saved)

prune187.0ms (1.5%)

Pruning

15 alts after pruning (9 fresh and 6 done)

PrunedKeptTotal
New8357842
Fresh527
Picked055
Done011
Total84015855
Accuracy
100.0%
Counts
855 → 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)
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 (-.f64 -2 beta) alpha) (/.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))))) 2)
25.6%
(/.f64 (-.f64 (*.f64 (-.f64 (-.f64 -2 beta) beta) (/.f64 (+.f64 2 beta) (pow.f64 alpha 2))) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 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 beta alpha) 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)

localize375.0ms (3.1%)

Localize:

Found 9 expressions with local error:

NewAccuracyProgram
100.0%
(-.f64 (-.f64 -2 beta) beta)
100.0%
(*.f64 (-.f64 (-.f64 -2 beta) beta) (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)))
96.2%
(/.f64 (+.f64 2 beta) (pow.f64 alpha 2))
95.3%
(-.f64 (*.f64 (-.f64 (-.f64 -2 beta) beta) (/.f64 (+.f64 2 beta) (pow.f64 alpha 2))) (/.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 194 to 130 computations (33% saved)

series38.0ms (0.3%)

Counts
9 → 156
Calls

42 calls:

TimeVariablePointExpression
3.0ms
alpha
@0
(-.f64 (*.f64 (-.f64 (-.f64 -2 beta) beta) (/.f64 (+.f64 2 beta) (pow.f64 alpha 2))) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha))
2.0ms
beta
@0
(-.f64 (*.f64 (-.f64 (-.f64 -2 beta) beta) (/.f64 (+.f64 2 beta) (pow.f64 alpha 2))) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha))
1.0ms
beta
@0
(-.f64 2 (/.f64 2 beta))
1.0ms
beta
@-inf
(-.f64 (*.f64 (-.f64 (-.f64 -2 beta) beta) (/.f64 (+.f64 2 beta) (pow.f64 alpha 2))) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha))
1.0ms
beta
@inf
(-.f64 (*.f64 (-.f64 (-.f64 -2 beta) beta) (/.f64 (+.f64 2 beta) (pow.f64 alpha 2))) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha))

rewrite122.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
276×frac-times
275×log1p-expm1-u
275×expm1-log1p-u
270×add-cube-cbrt
268×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030308
1587308
Stop Event
node limit
Counts
9 → 264
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 (-.f64 -2 beta) beta) (/.f64 (+.f64 2 beta) (pow.f64 alpha 2))) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha))
(/.f64 (+.f64 2 beta) (pow.f64 alpha 2))
(*.f64 (-.f64 (-.f64 -2 beta) beta) (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)))
(-.f64 (-.f64 -2 beta) 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))))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha)) (*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha))) 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 -1 (/.f64 1 (+.f64 (-.f64 -2 beta) (neg.f64 alpha))))
(*.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)
(neg.f64 (/.f64 -1 (+.f64 alpha (+.f64 beta 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))
(+.f64 1 (neg.f64 (*.f64 (/.f64 2 beta) 1/2)))
(-.f64 1 (*.f64 (/.f64 2 beta) 1/2))
(-.f64 (exp.f64 (log1p.f64 (-.f64 1 (*.f64 (/.f64 2 beta) 1/2)))) 1)
(*.f64 1 (-.f64 1 (*.f64 (/.f64 2 beta) 1/2)))
(*.f64 (+.f64 2 (/.f64 -2 beta)) 1/2)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 (/.f64 2 beta) 1/2))) 2) (cbrt.f64 (-.f64 1 (*.f64 (/.f64 2 beta) 1/2))))
(*.f64 (sqrt.f64 (-.f64 1 (*.f64 (/.f64 2 beta) 1/2))) (sqrt.f64 (-.f64 1 (*.f64 (/.f64 2 beta) 1/2))))
(*.f64 (+.f64 -2 (/.f64 2 beta)) -1/2)
(pow.f64 (-.f64 1 (*.f64 (/.f64 2 beta) 1/2)) 1)
(pow.f64 (cbrt.f64 (-.f64 1 (*.f64 (/.f64 2 beta) 1/2))) 3)
(pow.f64 (pow.f64 (-.f64 1 (*.f64 (/.f64 2 beta) 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 1 (*.f64 (/.f64 2 beta) 1/2))) 2)
(pow.f64 (/.f64 2 (+.f64 2 (/.f64 -2 beta))) -1)
(neg.f64 (/.f64 (+.f64 2 (/.f64 -2 beta)) -2))
(sqrt.f64 (*.f64 (pow.f64 (+.f64 2 (/.f64 -2 beta)) 2) 1/4))
(log.f64 (sqrt.f64 (exp.f64 (+.f64 2 (/.f64 -2 beta)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (*.f64 (/.f64 2 beta) 1/2)))))
(cbrt.f64 (pow.f64 (-.f64 1 (*.f64 (/.f64 2 beta) 1/2)) 3))
(expm1.f64 (log1p.f64 (-.f64 1 (*.f64 (/.f64 2 beta) 1/2))))
(log1p.f64 (expm1.f64 (-.f64 1 (*.f64 (/.f64 2 beta) 1/2))))
(exp.f64 (log.f64 (-.f64 1 (*.f64 (/.f64 2 beta) 1/2))))
(exp.f64 (*.f64 (log.f64 (-.f64 1 (*.f64 (/.f64 2 beta) 1/2))) 1))
(+.f64 2 (/.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 1 (+.f64 4 (+.f64 (/.f64 4 (pow.f64 beta 2)) (/.f64 2 (*.f64 beta 1/2))))))
(*.f64 (-.f64 4 (/.f64 4 (pow.f64 beta 2))) (/.f64 1 (+.f64 2 (/.f64 2 beta))))
(/.f64 1 (/.f64 (+.f64 4 (+.f64 (/.f64 4 (pow.f64 beta 2)) (/.f64 2 (*.f64 beta 1/2)))) (-.f64 8 (/.f64 8 (pow.f64 beta 3)))))
(/.f64 1 (/.f64 (+.f64 2 (/.f64 2 beta)) (-.f64 4 (/.f64 4 (pow.f64 beta 2)))))
(/.f64 (-.f64 8 (/.f64 8 (pow.f64 beta 3))) (+.f64 4 (+.f64 (/.f64 4 (pow.f64 beta 2)) (/.f64 2 (*.f64 beta 1/2)))))
(/.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 beta 1/2))))))
(/.f64 (neg.f64 (-.f64 4 (/.f64 4 (pow.f64 beta 2)))) (neg.f64 (+.f64 2 (/.f64 2 beta))))
(/.f64 (+.f64 8 (pow.f64 (/.f64 -2 beta) 3)) (+.f64 4 (-.f64 (*.f64 (/.f64 -2 beta) (/.f64 -2 beta)) (*.f64 2 (/.f64 -2 beta)))))
(/.f64 (-.f64 4 (*.f64 (/.f64 -2 beta) (/.f64 -2 beta))) (-.f64 2 (/.f64 -2 beta)))
(pow.f64 (+.f64 2 (/.f64 -2 beta)) 1)
(pow.f64 (cbrt.f64 (+.f64 2 (/.f64 -2 beta))) 3)
(pow.f64 (pow.f64 (+.f64 2 (/.f64 -2 beta)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 2 (/.f64 -2 beta))) 2)
(sqrt.f64 (pow.f64 (+.f64 2 (/.f64 -2 beta)) 2))
(log.f64 (exp.f64 (+.f64 2 (/.f64 -2 beta))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 2 (/.f64 -2 beta)))))
(cbrt.f64 (pow.f64 (+.f64 2 (/.f64 -2 beta)) 3))
(expm1.f64 (log1p.f64 (+.f64 2 (/.f64 -2 beta))))
(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 (/.f64 (neg.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 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) (/.f64 alpha (+.f64 alpha 2))))))
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(fma.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 -2 (+.f64 beta beta)) (+.f64 beta 2))) alpha) (/.f64 (sqrt.f64 (*.f64 (-.f64 -2 (+.f64 beta beta)) (+.f64 beta 2))) alpha) (/.f64 (neg.f64 (-.f64 -2 (+.f64 beta beta))) alpha))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 beta 2) (pow.f64 alpha -2)))) 1)
(*.f64 1 (*.f64 (+.f64 beta 2) (pow.f64 alpha -2)))
(*.f64 (-.f64 -2 beta) (/.f64 1 (neg.f64 (pow.f64 alpha 2))))
(*.f64 (+.f64 beta 2) (pow.f64 alpha -2))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 4))) (cbrt.f64 (*.f64 (+.f64 beta 2) (pow.f64 alpha -2))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta 2)) alpha) (/.f64 (sqrt.f64 (+.f64 beta 2)) alpha))
(*.f64 (/.f64 1 alpha) (/.f64 (+.f64 beta 2) alpha))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 alpha 4))) (/.f64 (+.f64 beta 2) (pow.f64 (cbrt.f64 alpha) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) 1) (/.f64 (cbrt.f64 (+.f64 beta 2)) (pow.f64 alpha 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) alpha) (/.f64 (cbrt.f64 (+.f64 beta 2)) alpha))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (cbrt.f64 (pow.f64 alpha 4))) (cbrt.f64 (*.f64 (+.f64 beta 2) (pow.f64 alpha -2))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta 2)) 1) (/.f64 (sqrt.f64 (+.f64 beta 2)) (pow.f64 alpha 2)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta 2)) (cbrt.f64 (pow.f64 alpha 4))) (/.f64 (sqrt.f64 (+.f64 beta 2)) (pow.f64 (cbrt.f64 alpha) 2)))
(pow.f64 (*.f64 (+.f64 beta 2) (pow.f64 alpha -2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 2) (pow.f64 alpha -2))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 beta 2) (pow.f64 alpha -2)) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (+.f64 beta 2)) alpha) 2)
(pow.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 2)) -1)
(neg.f64 (/.f64 (+.f64 beta 2) (neg.f64 (pow.f64 alpha 2))))
(neg.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)))
(sqrt.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 4)))
(log.f64 (pow.f64 (exp.f64 (+.f64 beta 2)) (pow.f64 alpha -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 beta 2) (pow.f64 alpha -2)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 beta 2) (pow.f64 alpha -2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 (pow.f64 alpha 2) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 beta 2) (pow.f64 alpha -2))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 beta 2) (pow.f64 alpha -2))))
(exp.f64 (log.f64 (*.f64 (+.f64 beta 2) (pow.f64 alpha -2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 beta 2) (pow.f64 alpha -2))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 -2 (+.f64 beta beta)) (*.f64 (+.f64 beta 2) (pow.f64 alpha -2))))) 1)
(/.f64 1 (/.f64 (pow.f64 alpha 2) (*.f64 (-.f64 -2 (+.f64 beta beta)) (+.f64 beta 2))))
(/.f64 (-.f64 -2 (+.f64 beta beta)) (/.f64 (pow.f64 alpha 2) (+.f64 beta 2)))
(/.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3)) (*.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 2)) (+.f64 (pow.f64 (-.f64 -2 beta) 2) (fma.f64 beta beta (*.f64 (-.f64 -2 beta) beta)))))
(/.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (pow.f64 beta 2)) (*.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 2)) (+.f64 (-.f64 -2 beta) beta)))
(/.f64 (*.f64 (-.f64 -2 (+.f64 beta beta)) (+.f64 beta 2)) (pow.f64 alpha 2))
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3)) 1) (*.f64 (+.f64 (pow.f64 (-.f64 -2 beta) 2) (fma.f64 beta beta (*.f64 (-.f64 -2 beta) beta))) (/.f64 (pow.f64 alpha 2) (+.f64 beta 2))))
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3)) (+.f64 beta 2)) (*.f64 (+.f64 (pow.f64 (-.f64 -2 beta) 2) (fma.f64 beta beta (*.f64 (-.f64 -2 beta) beta))) (pow.f64 alpha 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3)) (-.f64 -2 beta)) (*.f64 (+.f64 (pow.f64 (-.f64 -2 beta) 2) (fma.f64 beta beta (*.f64 (-.f64 -2 beta) beta))) (neg.f64 (pow.f64 alpha 2))))
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (pow.f64 beta 2)) 1) (*.f64 (+.f64 (-.f64 -2 beta) beta) (/.f64 (pow.f64 alpha 2) (+.f64 beta 2))))
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (pow.f64 beta 2)) (+.f64 beta 2)) (*.f64 (+.f64 (-.f64 -2 beta) beta) (pow.f64 alpha 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (pow.f64 beta 2)) (-.f64 -2 beta)) (*.f64 (+.f64 (-.f64 -2 beta) beta) (neg.f64 (pow.f64 alpha 2))))
(/.f64 (*.f64 (+.f64 beta 2) (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3))) (*.f64 (pow.f64 alpha 2) (+.f64 (pow.f64 (-.f64 -2 beta) 2) (fma.f64 beta beta (*.f64 (-.f64 -2 beta) beta)))))
(/.f64 (*.f64 (+.f64 beta 2) (-.f64 (pow.f64 (-.f64 -2 beta) 2) (pow.f64 beta 2))) (*.f64 (pow.f64 alpha 2) (+.f64 (-.f64 -2 beta) beta)))
(/.f64 (*.f64 (-.f64 -2 beta) (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3))) (*.f64 (neg.f64 (pow.f64 alpha 2)) (+.f64 (pow.f64 (-.f64 -2 beta) 2) (fma.f64 beta beta (*.f64 (-.f64 -2 beta) beta)))))
(/.f64 (*.f64 (-.f64 -2 beta) (-.f64 (pow.f64 (-.f64 -2 beta) 2) (pow.f64 beta 2))) (*.f64 (neg.f64 (pow.f64 alpha 2)) (+.f64 (-.f64 -2 beta) beta)))
(/.f64 (neg.f64 (*.f64 (-.f64 -2 (+.f64 beta beta)) (+.f64 beta 2))) (neg.f64 (pow.f64 alpha 2)))
(pow.f64 (*.f64 (-.f64 -2 (+.f64 beta beta)) (*.f64 (+.f64 beta 2) (pow.f64 alpha -2))) 1)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 -2 (+.f64 beta beta)) (*.f64 (+.f64 beta 2) (pow.f64 alpha -2)))) 3)
(pow.f64 (pow.f64 (*.f64 (-.f64 -2 (+.f64 beta beta)) (*.f64 (+.f64 beta 2) (pow.f64 alpha -2))) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 -2 (+.f64 beta beta)) (+.f64 beta 2))) alpha) 2)
(sqrt.f64 (pow.f64 (*.f64 (-.f64 -2 (+.f64 beta beta)) (*.f64 (+.f64 beta 2) (pow.f64 alpha -2))) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (+.f64 beta 2)) (pow.f64 alpha -2)) (-.f64 -2 (+.f64 beta beta))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 -2 (+.f64 beta beta)) (*.f64 (+.f64 beta 2) (pow.f64 alpha -2))))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 -2 (+.f64 beta beta)) (*.f64 (+.f64 beta 2) (pow.f64 alpha -2))) 3))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 -2 (+.f64 beta beta)) (*.f64 (+.f64 beta 2) (pow.f64 alpha -2)))))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 -2 (+.f64 beta beta)) (*.f64 (+.f64 beta 2) (pow.f64 alpha -2)))))
(exp.f64 (log.f64 (*.f64 (-.f64 -2 (+.f64 beta beta)) (*.f64 (+.f64 beta 2) (pow.f64 alpha -2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 -2 (+.f64 beta beta)) (*.f64 (+.f64 beta 2) (pow.f64 alpha -2)))) 1))
(+.f64 -2 (neg.f64 (+.f64 beta beta)))
(+.f64 (-.f64 -2 beta) (neg.f64 beta))
(+.f64 (-.f64 -2 (+.f64 beta beta)) (fma.f64 (neg.f64 (sqrt.f64 beta)) (sqrt.f64 beta) beta))
(+.f64 (fma.f64 1 (-.f64 -2 beta) (neg.f64 (*.f64 beta 1))) (fma.f64 (neg.f64 beta) 1 (*.f64 beta 1)))
(+.f64 (fma.f64 1 (-.f64 -2 beta) (neg.f64 (*.f64 (cbrt.f64 beta) (pow.f64 (cbrt.f64 beta) 2)))) (fma.f64 (neg.f64 (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2) (*.f64 (cbrt.f64 beta) (pow.f64 (cbrt.f64 beta) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) (cbrt.f64 (-.f64 -2 beta)) (neg.f64 (*.f64 beta 1))) (fma.f64 (neg.f64 beta) 1 (*.f64 beta 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) (cbrt.f64 (-.f64 -2 beta)) (neg.f64 (*.f64 (cbrt.f64 beta) (pow.f64 (cbrt.f64 beta) 2)))) (fma.f64 (neg.f64 (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2) (*.f64 (cbrt.f64 beta) (pow.f64 (cbrt.f64 beta) 2))))
(+.f64 (fma.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 (-.f64 -2 beta)) (neg.f64 (*.f64 beta 1))) (fma.f64 (neg.f64 beta) 1 (*.f64 beta 1)))
(+.f64 (fma.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 (-.f64 -2 beta)) (neg.f64 (*.f64 (cbrt.f64 beta) (pow.f64 (cbrt.f64 beta) 2)))) (fma.f64 (neg.f64 (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2) (*.f64 (cbrt.f64 beta) (pow.f64 (cbrt.f64 beta) 2))))
(*.f64 1 (-.f64 -2 (+.f64 beta beta)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 -2 (+.f64 beta beta))) 2) (cbrt.f64 (-.f64 -2 (+.f64 beta beta))))
(*.f64 (sqrt.f64 (-.f64 -2 (+.f64 beta beta))) (sqrt.f64 (-.f64 -2 (+.f64 beta beta))))
(*.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3)) (/.f64 1 (+.f64 (pow.f64 (-.f64 -2 beta) 2) (fma.f64 beta beta (*.f64 (-.f64 -2 beta) beta)))))
(*.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (pow.f64 beta 2)) (/.f64 1 (+.f64 (-.f64 -2 beta) beta)))
(*.f64 (+.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 beta)) (-.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 beta)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (-.f64 -2 beta) 2) (fma.f64 beta beta (*.f64 (-.f64 -2 beta) beta))) (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3))))
(/.f64 1 (/.f64 (+.f64 (-.f64 -2 beta) beta) (-.f64 (pow.f64 (-.f64 -2 beta) 2) (pow.f64 beta 2))))
(/.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3)) (+.f64 (pow.f64 (-.f64 -2 beta) 2) (fma.f64 beta beta (*.f64 (-.f64 -2 beta) beta))))
(/.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (pow.f64 beta 2)) (+.f64 (-.f64 -2 beta) beta))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3))) (neg.f64 (+.f64 (pow.f64 (-.f64 -2 beta) 2) (fma.f64 beta beta (*.f64 (-.f64 -2 beta) beta)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (pow.f64 beta 2))) (neg.f64 (+.f64 (-.f64 -2 beta) beta)))
(/.f64 (+.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 (neg.f64 beta) 3)) (+.f64 (pow.f64 (-.f64 -2 beta) 2) (-.f64 (*.f64 (neg.f64 beta) (neg.f64 beta)) (*.f64 (-.f64 -2 beta) (neg.f64 beta)))))
(/.f64 (-.f64 -8 (pow.f64 (+.f64 beta beta) 3)) (+.f64 4 (+.f64 (*.f64 (+.f64 beta beta) (+.f64 beta beta)) (*.f64 -2 (+.f64 beta beta)))))
(/.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 (neg.f64 beta) (neg.f64 beta))) (-.f64 (-.f64 -2 beta) (neg.f64 beta)))
(/.f64 (-.f64 4 (*.f64 (+.f64 beta beta) (+.f64 beta beta))) (+.f64 -2 (+.f64 beta beta)))
(pow.f64 (-.f64 -2 (+.f64 beta beta)) 1)
(pow.f64 (cbrt.f64 (-.f64 -2 (+.f64 beta beta))) 3)
(pow.f64 (pow.f64 (-.f64 -2 (+.f64 beta beta)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 -2 (+.f64 beta beta))) 2)
(sqrt.f64 (pow.f64 (-.f64 -2 (+.f64 beta beta)) 2))
(log.f64 (exp.f64 (-.f64 -2 (+.f64 beta beta))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 -2 (+.f64 beta beta)))))
(cbrt.f64 (pow.f64 (-.f64 -2 (+.f64 beta beta)) 3))
(expm1.f64 (log1p.f64 (-.f64 -2 (+.f64 beta beta))))
(log1p.f64 (expm1.f64 (-.f64 -2 (+.f64 beta beta))))
(exp.f64 (log.f64 (-.f64 -2 (+.f64 beta beta))))
(exp.f64 (*.f64 (log.f64 (-.f64 -2 (+.f64 beta beta))) 1))
(fma.f64 1 (-.f64 -2 beta) (neg.f64 beta))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) (cbrt.f64 (-.f64 -2 beta)) (neg.f64 beta))
(fma.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 (-.f64 -2 beta)) (neg.f64 beta))

simplify210.0ms (1.7%)

Algorithm
egg-herbie
Rules
948×times-frac
906×fma-define
496×distribute-rgt-in
484×distribute-lft-in
428×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
091624218
1275420949
Stop Event
node limit
Counts
420 → 551
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))))
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(/.f64 1 alpha)
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(/.f64 1 (+.f64 2 alpha))
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(/.f64 1 beta)
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(/.f64 1 beta)
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(/.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
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(/.f64 2 alpha)
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(/.f64 2 alpha)
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(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
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(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
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(/.f64 2 (pow.f64 alpha 2))
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(/.f64 beta (pow.f64 alpha 2))
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(/.f64 beta (pow.f64 alpha 2))
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(*.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)))
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(*.f64 -1 (/.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (*.f64 2 beta))) (pow.f64 alpha 2)))
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(*.f64 -1 (/.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (*.f64 2 beta))) (pow.f64 alpha 2)))
-2
(-.f64 (*.f64 -2 beta) 2)
(-.f64 (*.f64 -2 beta) 2)
(-.f64 (*.f64 -2 beta) 2)
(*.f64 -2 beta)
(-.f64 (*.f64 -2 beta) 2)
(-.f64 (*.f64 -2 beta) 2)
(-.f64 (*.f64 -2 beta) 2)
(*.f64 -2 beta)
(-.f64 (*.f64 -2 beta) 2)
(-.f64 (*.f64 -2 beta) 2)
(-.f64 (*.f64 -2 beta) 2)
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(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)
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(*.f64 1 (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
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(pow.f64 (cbrt.f64 (-.f64 (*.f64 (-.f64 -2 (+.f64 beta beta)) (*.f64 (+.f64 beta 2) (pow.f64 alpha -2))) (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha))) 3)
(pow.f64 (pow.f64 (-.f64 (*.f64 (-.f64 -2 (+.f64 beta beta)) (*.f64 (+.f64 beta 2) (pow.f64 alpha -2))) (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 (-.f64 -2 (+.f64 beta beta)) (*.f64 (+.f64 beta 2) (pow.f64 alpha -2))) (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha))) 2)
(sqrt.f64 (pow.f64 (-.f64 (*.f64 (-.f64 -2 (+.f64 beta beta)) (*.f64 (+.f64 beta 2) (pow.f64 alpha -2))) (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha)) 2))
(log.f64 (exp.f64 (-.f64 (*.f64 (-.f64 -2 (+.f64 beta beta)) (*.f64 (+.f64 beta 2) (pow.f64 alpha -2))) (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 (-.f64 -2 (+.f64 beta beta)) (*.f64 (+.f64 beta 2) (pow.f64 alpha -2))) (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha)))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 (-.f64 -2 (+.f64 beta beta)) (*.f64 (+.f64 beta 2) (pow.f64 alpha -2))) (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha)) 3))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 (-.f64 -2 (+.f64 beta beta)) (*.f64 (+.f64 beta 2) (pow.f64 alpha -2))) (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha))))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 (-.f64 -2 (+.f64 beta beta)) (*.f64 (+.f64 beta 2) (pow.f64 alpha -2))) (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha))))
(exp.f64 (log.f64 (-.f64 (*.f64 (-.f64 -2 (+.f64 beta beta)) (*.f64 (+.f64 beta 2) (pow.f64 alpha -2))) (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha))))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 (-.f64 -2 (+.f64 beta beta)) (*.f64 (+.f64 beta 2) (pow.f64 alpha -2))) (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha))) 1))
(fma.f64 1 (*.f64 (-.f64 -2 (+.f64 beta beta)) (*.f64 (+.f64 beta 2) (pow.f64 alpha -2))) (/.f64 (neg.f64 (-.f64 -2 (+.f64 beta beta))) alpha))
(fma.f64 (-.f64 -2 (+.f64 beta beta)) (*.f64 (+.f64 beta 2) (pow.f64 alpha -2)) (/.f64 (neg.f64 (-.f64 -2 (+.f64 beta beta))) alpha))
(fma.f64 (*.f64 (+.f64 beta 2) (pow.f64 alpha -2)) (-.f64 -2 (+.f64 beta beta)) (/.f64 (neg.f64 (-.f64 -2 (+.f64 beta beta))) alpha))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 -2 (+.f64 beta beta)) (*.f64 (+.f64 beta 2) (pow.f64 alpha -2)))) 2) (cbrt.f64 (*.f64 (-.f64 -2 (+.f64 beta beta)) (*.f64 (+.f64 beta 2) (pow.f64 alpha -2)))) (/.f64 (neg.f64 (-.f64 -2 (+.f64 beta beta))) alpha))
(fma.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 -2 (+.f64 beta beta)) (+.f64 beta 2))) alpha) (/.f64 (sqrt.f64 (*.f64 (-.f64 -2 (+.f64 beta beta)) (+.f64 beta 2))) alpha) (/.f64 (neg.f64 (-.f64 -2 (+.f64 beta beta))) alpha))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 beta 2) (pow.f64 alpha -2)))) 1)
(*.f64 1 (*.f64 (+.f64 beta 2) (pow.f64 alpha -2)))
(*.f64 (-.f64 -2 beta) (/.f64 1 (neg.f64 (pow.f64 alpha 2))))
(*.f64 (+.f64 beta 2) (pow.f64 alpha -2))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 4))) (cbrt.f64 (*.f64 (+.f64 beta 2) (pow.f64 alpha -2))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta 2)) alpha) (/.f64 (sqrt.f64 (+.f64 beta 2)) alpha))
(*.f64 (/.f64 1 alpha) (/.f64 (+.f64 beta 2) alpha))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 alpha 4))) (/.f64 (+.f64 beta 2) (pow.f64 (cbrt.f64 alpha) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) 1) (/.f64 (cbrt.f64 (+.f64 beta 2)) (pow.f64 alpha 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) alpha) (/.f64 (cbrt.f64 (+.f64 beta 2)) alpha))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (cbrt.f64 (pow.f64 alpha 4))) (cbrt.f64 (*.f64 (+.f64 beta 2) (pow.f64 alpha -2))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta 2)) 1) (/.f64 (sqrt.f64 (+.f64 beta 2)) (pow.f64 alpha 2)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta 2)) (cbrt.f64 (pow.f64 alpha 4))) (/.f64 (sqrt.f64 (+.f64 beta 2)) (pow.f64 (cbrt.f64 alpha) 2)))
(pow.f64 (*.f64 (+.f64 beta 2) (pow.f64 alpha -2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 2) (pow.f64 alpha -2))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 beta 2) (pow.f64 alpha -2)) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (+.f64 beta 2)) alpha) 2)
(pow.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 2)) -1)
(neg.f64 (/.f64 (+.f64 beta 2) (neg.f64 (pow.f64 alpha 2))))
(neg.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)))
(sqrt.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 4)))
(log.f64 (pow.f64 (exp.f64 (+.f64 beta 2)) (pow.f64 alpha -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 beta 2) (pow.f64 alpha -2)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 beta 2) (pow.f64 alpha -2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 (pow.f64 alpha 2) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 beta 2) (pow.f64 alpha -2))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 beta 2) (pow.f64 alpha -2))))
(exp.f64 (log.f64 (*.f64 (+.f64 beta 2) (pow.f64 alpha -2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 beta 2) (pow.f64 alpha -2))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 -2 (+.f64 beta beta)) (*.f64 (+.f64 beta 2) (pow.f64 alpha -2))))) 1)
(/.f64 1 (/.f64 (pow.f64 alpha 2) (*.f64 (-.f64 -2 (+.f64 beta beta)) (+.f64 beta 2))))
(/.f64 (-.f64 -2 (+.f64 beta beta)) (/.f64 (pow.f64 alpha 2) (+.f64 beta 2)))
(/.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3)) (*.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 2)) (+.f64 (pow.f64 (-.f64 -2 beta) 2) (fma.f64 beta beta (*.f64 (-.f64 -2 beta) beta)))))
(/.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (pow.f64 beta 2)) (*.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 2)) (+.f64 (-.f64 -2 beta) beta)))
(/.f64 (*.f64 (-.f64 -2 (+.f64 beta beta)) (+.f64 beta 2)) (pow.f64 alpha 2))
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3)) 1) (*.f64 (+.f64 (pow.f64 (-.f64 -2 beta) 2) (fma.f64 beta beta (*.f64 (-.f64 -2 beta) beta))) (/.f64 (pow.f64 alpha 2) (+.f64 beta 2))))
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3)) (+.f64 beta 2)) (*.f64 (+.f64 (pow.f64 (-.f64 -2 beta) 2) (fma.f64 beta beta (*.f64 (-.f64 -2 beta) beta))) (pow.f64 alpha 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3)) (-.f64 -2 beta)) (*.f64 (+.f64 (pow.f64 (-.f64 -2 beta) 2) (fma.f64 beta beta (*.f64 (-.f64 -2 beta) beta))) (neg.f64 (pow.f64 alpha 2))))
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (pow.f64 beta 2)) 1) (*.f64 (+.f64 (-.f64 -2 beta) beta) (/.f64 (pow.f64 alpha 2) (+.f64 beta 2))))
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (pow.f64 beta 2)) (+.f64 beta 2)) (*.f64 (+.f64 (-.f64 -2 beta) beta) (pow.f64 alpha 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (pow.f64 beta 2)) (-.f64 -2 beta)) (*.f64 (+.f64 (-.f64 -2 beta) beta) (neg.f64 (pow.f64 alpha 2))))
(/.f64 (*.f64 (+.f64 beta 2) (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3))) (*.f64 (pow.f64 alpha 2) (+.f64 (pow.f64 (-.f64 -2 beta) 2) (fma.f64 beta beta (*.f64 (-.f64 -2 beta) beta)))))
(/.f64 (*.f64 (+.f64 beta 2) (-.f64 (pow.f64 (-.f64 -2 beta) 2) (pow.f64 beta 2))) (*.f64 (pow.f64 alpha 2) (+.f64 (-.f64 -2 beta) beta)))
(/.f64 (*.f64 (-.f64 -2 beta) (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3))) (*.f64 (neg.f64 (pow.f64 alpha 2)) (+.f64 (pow.f64 (-.f64 -2 beta) 2) (fma.f64 beta beta (*.f64 (-.f64 -2 beta) beta)))))
(/.f64 (*.f64 (-.f64 -2 beta) (-.f64 (pow.f64 (-.f64 -2 beta) 2) (pow.f64 beta 2))) (*.f64 (neg.f64 (pow.f64 alpha 2)) (+.f64 (-.f64 -2 beta) beta)))
(/.f64 (neg.f64 (*.f64 (-.f64 -2 (+.f64 beta beta)) (+.f64 beta 2))) (neg.f64 (pow.f64 alpha 2)))
(pow.f64 (*.f64 (-.f64 -2 (+.f64 beta beta)) (*.f64 (+.f64 beta 2) (pow.f64 alpha -2))) 1)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 -2 (+.f64 beta beta)) (*.f64 (+.f64 beta 2) (pow.f64 alpha -2)))) 3)
(pow.f64 (pow.f64 (*.f64 (-.f64 -2 (+.f64 beta beta)) (*.f64 (+.f64 beta 2) (pow.f64 alpha -2))) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 -2 (+.f64 beta beta)) (+.f64 beta 2))) alpha) 2)
(sqrt.f64 (pow.f64 (*.f64 (-.f64 -2 (+.f64 beta beta)) (*.f64 (+.f64 beta 2) (pow.f64 alpha -2))) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (+.f64 beta 2)) (pow.f64 alpha -2)) (-.f64 -2 (+.f64 beta beta))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 -2 (+.f64 beta beta)) (*.f64 (+.f64 beta 2) (pow.f64 alpha -2))))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 -2 (+.f64 beta beta)) (*.f64 (+.f64 beta 2) (pow.f64 alpha -2))) 3))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 -2 (+.f64 beta beta)) (*.f64 (+.f64 beta 2) (pow.f64 alpha -2)))))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 -2 (+.f64 beta beta)) (*.f64 (+.f64 beta 2) (pow.f64 alpha -2)))))
(exp.f64 (log.f64 (*.f64 (-.f64 -2 (+.f64 beta beta)) (*.f64 (+.f64 beta 2) (pow.f64 alpha -2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 -2 (+.f64 beta beta)) (*.f64 (+.f64 beta 2) (pow.f64 alpha -2)))) 1))
(+.f64 -2 (neg.f64 (+.f64 beta beta)))
(+.f64 (-.f64 -2 beta) (neg.f64 beta))
(+.f64 (-.f64 -2 (+.f64 beta beta)) (fma.f64 (neg.f64 (sqrt.f64 beta)) (sqrt.f64 beta) beta))
(+.f64 (fma.f64 1 (-.f64 -2 beta) (neg.f64 (*.f64 beta 1))) (fma.f64 (neg.f64 beta) 1 (*.f64 beta 1)))
(+.f64 (fma.f64 1 (-.f64 -2 beta) (neg.f64 (*.f64 (cbrt.f64 beta) (pow.f64 (cbrt.f64 beta) 2)))) (fma.f64 (neg.f64 (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2) (*.f64 (cbrt.f64 beta) (pow.f64 (cbrt.f64 beta) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) (cbrt.f64 (-.f64 -2 beta)) (neg.f64 (*.f64 beta 1))) (fma.f64 (neg.f64 beta) 1 (*.f64 beta 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) (cbrt.f64 (-.f64 -2 beta)) (neg.f64 (*.f64 (cbrt.f64 beta) (pow.f64 (cbrt.f64 beta) 2)))) (fma.f64 (neg.f64 (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2) (*.f64 (cbrt.f64 beta) (pow.f64 (cbrt.f64 beta) 2))))
(+.f64 (fma.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 (-.f64 -2 beta)) (neg.f64 (*.f64 beta 1))) (fma.f64 (neg.f64 beta) 1 (*.f64 beta 1)))
(+.f64 (fma.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 (-.f64 -2 beta)) (neg.f64 (*.f64 (cbrt.f64 beta) (pow.f64 (cbrt.f64 beta) 2)))) (fma.f64 (neg.f64 (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2) (*.f64 (cbrt.f64 beta) (pow.f64 (cbrt.f64 beta) 2))))
(*.f64 1 (-.f64 -2 (+.f64 beta beta)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 -2 (+.f64 beta beta))) 2) (cbrt.f64 (-.f64 -2 (+.f64 beta beta))))
(*.f64 (sqrt.f64 (-.f64 -2 (+.f64 beta beta))) (sqrt.f64 (-.f64 -2 (+.f64 beta beta))))
(*.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3)) (/.f64 1 (+.f64 (pow.f64 (-.f64 -2 beta) 2) (fma.f64 beta beta (*.f64 (-.f64 -2 beta) beta)))))
(*.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (pow.f64 beta 2)) (/.f64 1 (+.f64 (-.f64 -2 beta) beta)))
(*.f64 (+.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 beta)) (-.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 beta)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (-.f64 -2 beta) 2) (fma.f64 beta beta (*.f64 (-.f64 -2 beta) beta))) (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3))))
(/.f64 1 (/.f64 (+.f64 (-.f64 -2 beta) beta) (-.f64 (pow.f64 (-.f64 -2 beta) 2) (pow.f64 beta 2))))
(/.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3)) (+.f64 (pow.f64 (-.f64 -2 beta) 2) (fma.f64 beta beta (*.f64 (-.f64 -2 beta) beta))))
(/.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (pow.f64 beta 2)) (+.f64 (-.f64 -2 beta) beta))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3))) (neg.f64 (+.f64 (pow.f64 (-.f64 -2 beta) 2) (fma.f64 beta beta (*.f64 (-.f64 -2 beta) beta)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (pow.f64 beta 2))) (neg.f64 (+.f64 (-.f64 -2 beta) beta)))
(/.f64 (+.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 (neg.f64 beta) 3)) (+.f64 (pow.f64 (-.f64 -2 beta) 2) (-.f64 (*.f64 (neg.f64 beta) (neg.f64 beta)) (*.f64 (-.f64 -2 beta) (neg.f64 beta)))))
(/.f64 (-.f64 -8 (pow.f64 (+.f64 beta beta) 3)) (+.f64 4 (+.f64 (*.f64 (+.f64 beta beta) (+.f64 beta beta)) (*.f64 -2 (+.f64 beta beta)))))
(/.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 (neg.f64 beta) (neg.f64 beta))) (-.f64 (-.f64 -2 beta) (neg.f64 beta)))
(/.f64 (-.f64 4 (*.f64 (+.f64 beta beta) (+.f64 beta beta))) (+.f64 -2 (+.f64 beta beta)))
(pow.f64 (-.f64 -2 (+.f64 beta beta)) 1)
(pow.f64 (cbrt.f64 (-.f64 -2 (+.f64 beta beta))) 3)
(pow.f64 (pow.f64 (-.f64 -2 (+.f64 beta beta)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 -2 (+.f64 beta beta))) 2)
(sqrt.f64 (pow.f64 (-.f64 -2 (+.f64 beta beta)) 2))
(log.f64 (exp.f64 (-.f64 -2 (+.f64 beta beta))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 -2 (+.f64 beta beta)))))
(cbrt.f64 (pow.f64 (-.f64 -2 (+.f64 beta beta)) 3))
(expm1.f64 (log1p.f64 (-.f64 -2 (+.f64 beta beta))))
(log1p.f64 (expm1.f64 (-.f64 -2 (+.f64 beta beta))))
(exp.f64 (log.f64 (-.f64 -2 (+.f64 beta beta))))
(exp.f64 (*.f64 (log.f64 (-.f64 -2 (+.f64 beta beta))) 1))
(fma.f64 1 (-.f64 -2 beta) (neg.f64 beta))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) (cbrt.f64 (-.f64 -2 beta)) (neg.f64 beta))
(fma.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 (-.f64 -2 beta)) (neg.f64 beta))
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 (fma.f64 (neg.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 beta (pow.f64 (+.f64 beta 2) 3))) (/.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 (*.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 1 (-.f64 (-.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 alpha (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))))))
(/.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 (+.f64 beta 2) (pow.f64 alpha 2))))
(+.f64 (-.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 beta (/.f64 (-.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))))
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(/.f64 (fma.f64 beta 2 2) alpha)
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2
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(-.f64 2 (/.f64 (fma.f64 2 alpha 2) beta))
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2
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(/.f64 1 alpha)
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(/.f64 1 alpha)
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(/.f64 1 (+.f64 2 alpha))
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(/.f64 1 beta)
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2
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2
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1
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(*.f64 (+.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 beta)) (-.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 beta)))
(*.f64 (+.f64 (sqrt.f64 beta) (sqrt.f64 (-.f64 -2 beta))) (-.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 beta)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (-.f64 -2 beta) 2) (fma.f64 beta beta (*.f64 (-.f64 -2 beta) beta))) (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3))))
(/.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3)) (+.f64 (pow.f64 (-.f64 -2 beta) 2) (fma.f64 beta beta (*.f64 beta (-.f64 -2 beta)))))
(/.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3)) (+.f64 (*.f64 beta -2) (pow.f64 (-.f64 -2 beta) 2)))
(/.f64 1 (/.f64 (+.f64 (-.f64 -2 beta) beta) (-.f64 (pow.f64 (-.f64 -2 beta) 2) (pow.f64 beta 2))))
(/.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (pow.f64 beta 2)) (+.f64 beta (-.f64 -2 beta)))
(*.f64 -1/2 (*.f64 -2 (fma.f64 beta -2 -2)))
(/.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3)) (+.f64 (pow.f64 (-.f64 -2 beta) 2) (fma.f64 beta beta (*.f64 (-.f64 -2 beta) beta))))
(/.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3)) (+.f64 (pow.f64 (-.f64 -2 beta) 2) (fma.f64 beta beta (*.f64 beta (-.f64 -2 beta)))))
(/.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3)) (+.f64 (*.f64 beta -2) (pow.f64 (-.f64 -2 beta) 2)))
(/.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (pow.f64 beta 2)) (+.f64 (-.f64 -2 beta) beta))
(/.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (pow.f64 beta 2)) (+.f64 beta (-.f64 -2 beta)))
(*.f64 -1/2 (*.f64 -2 (fma.f64 beta -2 -2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3))) (neg.f64 (+.f64 (pow.f64 (-.f64 -2 beta) 2) (fma.f64 beta beta (*.f64 (-.f64 -2 beta) beta)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3))) (neg.f64 (+.f64 (pow.f64 (-.f64 -2 beta) 2) (fma.f64 beta beta (*.f64 beta (-.f64 -2 beta))))))
(*.f64 1 (/.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3)) (+.f64 (*.f64 beta -2) (pow.f64 (-.f64 -2 beta) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (pow.f64 beta 2))) (neg.f64 (+.f64 (-.f64 -2 beta) beta)))
(/.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (pow.f64 beta 2)) (+.f64 beta (-.f64 -2 beta)))
(*.f64 -1/2 (*.f64 -2 (fma.f64 beta -2 -2)))
(/.f64 (+.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 (neg.f64 beta) 3)) (+.f64 (pow.f64 (-.f64 -2 beta) 2) (-.f64 (*.f64 (neg.f64 beta) (neg.f64 beta)) (*.f64 (-.f64 -2 beta) (neg.f64 beta)))))
(/.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3)) (+.f64 (pow.f64 (-.f64 -2 beta) 2) (fma.f64 beta beta (*.f64 beta (-.f64 -2 beta)))))
(/.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3)) (+.f64 (*.f64 beta -2) (pow.f64 (-.f64 -2 beta) 2)))
(/.f64 (-.f64 -8 (pow.f64 (+.f64 beta beta) 3)) (+.f64 4 (+.f64 (*.f64 (+.f64 beta beta) (+.f64 beta beta)) (*.f64 -2 (+.f64 beta beta)))))
(/.f64 (-.f64 -8 (pow.f64 (*.f64 beta 2) 3)) (+.f64 4 (*.f64 (*.f64 beta 2) (+.f64 -2 (*.f64 beta 2)))))
(/.f64 (-.f64 -8 (*.f64 (pow.f64 beta 3) 8)) (fma.f64 (*.f64 beta 2) (fma.f64 beta 2 -2) 4))
(/.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 (neg.f64 beta) (neg.f64 beta))) (-.f64 (-.f64 -2 beta) (neg.f64 beta)))
(/.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (pow.f64 beta 2)) (+.f64 beta (-.f64 -2 beta)))
(*.f64 -1/2 (*.f64 -2 (fma.f64 beta -2 -2)))
(/.f64 (-.f64 4 (*.f64 (+.f64 beta beta) (+.f64 beta beta))) (+.f64 -2 (+.f64 beta beta)))
(/.f64 (-.f64 4 (*.f64 (*.f64 beta 2) (*.f64 beta 2))) (+.f64 -2 (*.f64 beta 2)))
(/.f64 (-.f64 4 (*.f64 4 (pow.f64 beta 2))) (fma.f64 beta 2 -2))
(pow.f64 (-.f64 -2 (+.f64 beta beta)) 1)
(fma.f64 -2 beta -2)
(fma.f64 beta -2 -2)
(pow.f64 (cbrt.f64 (-.f64 -2 (+.f64 beta beta))) 3)
(fma.f64 -2 beta -2)
(fma.f64 beta -2 -2)
(pow.f64 (pow.f64 (-.f64 -2 (+.f64 beta beta)) 3) 1/3)
(fma.f64 -2 beta -2)
(fma.f64 beta -2 -2)
(pow.f64 (sqrt.f64 (-.f64 -2 (+.f64 beta beta))) 2)
(fma.f64 -2 beta -2)
(fma.f64 beta -2 -2)
(sqrt.f64 (pow.f64 (-.f64 -2 (+.f64 beta beta)) 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 beta))))
(fma.f64 -2 beta -2)
(fma.f64 beta -2 -2)
(log.f64 (+.f64 1 (expm1.f64 (-.f64 -2 (+.f64 beta beta)))))
(fma.f64 -2 beta -2)
(fma.f64 beta -2 -2)
(cbrt.f64 (pow.f64 (-.f64 -2 (+.f64 beta beta)) 3))
(fma.f64 -2 beta -2)
(fma.f64 beta -2 -2)
(expm1.f64 (log1p.f64 (-.f64 -2 (+.f64 beta beta))))
(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 beta))))
(fma.f64 -2 beta -2)
(fma.f64 beta -2 -2)
(exp.f64 (log.f64 (-.f64 -2 (+.f64 beta beta))))
(fma.f64 -2 beta -2)
(fma.f64 beta -2 -2)
(exp.f64 (*.f64 (log.f64 (-.f64 -2 (+.f64 beta beta))) 1))
(fma.f64 -2 beta -2)
(fma.f64 beta -2 -2)
(fma.f64 1 (-.f64 -2 beta) (neg.f64 beta))
(fma.f64 -2 beta -2)
(fma.f64 beta -2 -2)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) (cbrt.f64 (-.f64 -2 beta)) (neg.f64 beta))
(fma.f64 -2 beta -2)
(fma.f64 beta -2 -2)
(fma.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 (-.f64 -2 beta)) (neg.f64 beta))
(fma.f64 -2 beta -2)
(fma.f64 beta -2 -2)

eval334.0ms (2.8%)

Compiler

Compiled 17529 to 12696 computations (27.6% saved)

prune130.0ms (1.1%)

Pruning

17 alts after pruning (10 fresh and 7 done)

PrunedKeptTotal
New6106616
Fresh044
Picked325
Done156
Total61417631
Accuracy
100.0%
Counts
631 → 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)
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 (-.f64 -2 beta) alpha) (/.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))))) 2)
25.5%
(/.f64 (-.f64 (*.f64 (-.f64 (-.f64 -2 beta) beta) (/.f64 (/.f64 (+.f64 beta 2) alpha) alpha)) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 2)
30.6%
(/.f64 (-.f64 2 (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta)) 2)
76.9%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 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 446 to 343 computations (23.1% saved)

localize442.0ms (3.7%)

Localize:

Found 8 expressions with local error:

NewAccuracyProgram
100.0%
(-.f64 (-.f64 -2 beta) beta)
100.0%
(*.f64 (-.f64 (-.f64 -2 beta) beta) (/.f64 (/.f64 (+.f64 beta 2) alpha) alpha))
99.8%
(/.f64 (/.f64 (+.f64 beta 2) alpha) alpha)
95.3%
(-.f64 (*.f64 (-.f64 (-.f64 -2 beta) beta) (/.f64 (/.f64 (+.f64 beta 2) alpha) alpha)) (/.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 254 to 164 computations (35.4% saved)

series89.0ms (0.7%)

Counts
6 → 128
Calls

36 calls:

TimeVariablePointExpression
41.0ms
beta
@0
(*.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)))
6.0ms
beta
@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)
3.0ms
alpha
@0
(cbrt.f64 (fma.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha) 1))

rewrite215.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
861×log1p-expm1-u
274×associate-*r*
212×frac-times
202×expm1-log1p-u
198×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027314
1440275
27018275
Stop Event
node limit
Counts
6 → 198
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 (-.f64 -2 beta) beta) (/.f64 (/.f64 (+.f64 beta 2) alpha) alpha)) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha))
(/.f64 (/.f64 (+.f64 beta 2) alpha) alpha)
(*.f64 (-.f64 (-.f64 -2 beta) beta) (/.f64 (/.f64 (+.f64 beta 2) alpha) alpha))
Outputs
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))) 1)
(*.f64 1 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 1)
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 2))) (cbrt.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 2))))
(*.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1/6) (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 1/3) (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 1/3))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 4))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 2)))))
(pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1/3)
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 1)
(pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 2)) 1/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) 3)
(pow.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1/6) 2)
(sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 2)))
(fabs.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(log.f64 (exp.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))))
(log1p.f64 (expm1.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))))
(exp.f64 (log.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))))
(exp.f64 (*.f64 (log.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) 1))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 2)))) 1)
(*.f64 1 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 2)))
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 2)) 1)
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 2))) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 4)))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 2))) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 4)) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 2))))
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1/6))
(*.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1/6) (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 2)))) (cbrt.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))))
(sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 4))
(log.f64 (exp.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 2))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 2)))))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 2))
(expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 2))))
(log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 2))))
(exp.f64 (log.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 2))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 2))) 1))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)
(+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) 1)
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3) 1) (+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) (-.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))))
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))
(pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 3)
(pow.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 2)
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(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3)) (/.f64 (-.f64 -2 beta) alpha)) (*.f64 (+.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta (+.f64 beta (-.f64 -2 beta)))) (neg.f64 alpha)))
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (pow.f64 beta 2)) (/.f64 (+.f64 beta 2) alpha)) (*.f64 (+.f64 beta (-.f64 -2 beta)) alpha))
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (pow.f64 beta 2)) (/.f64 (-.f64 -2 beta) alpha)) (*.f64 (+.f64 beta (-.f64 -2 beta)) (neg.f64 alpha)))
(/.f64 (*.f64 (+.f64 beta 2) (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3))) (*.f64 (pow.f64 alpha 2) (+.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta (+.f64 beta (-.f64 -2 beta))))))
(/.f64 (*.f64 (+.f64 beta 2) (-.f64 (pow.f64 (-.f64 -2 beta) 2) (pow.f64 beta 2))) (*.f64 (pow.f64 alpha 2) (+.f64 beta (-.f64 -2 beta))))
(/.f64 (*.f64 (/.f64 (+.f64 beta 2) alpha) (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3))) (*.f64 alpha (+.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta (+.f64 beta (-.f64 -2 beta))))))
(/.f64 (*.f64 (/.f64 (+.f64 beta 2) alpha) (-.f64 (pow.f64 (-.f64 -2 beta) 2) (pow.f64 beta 2))) (*.f64 alpha (+.f64 beta (-.f64 -2 beta))))
(/.f64 (*.f64 (/.f64 (-.f64 -2 beta) alpha) (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3))) (*.f64 (neg.f64 alpha) (+.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta (+.f64 beta (-.f64 -2 beta))))))
(/.f64 (*.f64 (/.f64 (-.f64 -2 beta) alpha) (-.f64 (pow.f64 (-.f64 -2 beta) 2) (pow.f64 beta 2))) (*.f64 (neg.f64 alpha) (+.f64 beta (-.f64 -2 beta))))
(/.f64 (neg.f64 (*.f64 (-.f64 -2 (*.f64 beta 2)) (/.f64 (+.f64 beta 2) alpha))) (neg.f64 alpha))
(/.f64 (*.f64 (-.f64 -2 (*.f64 beta 2)) (+.f64 beta 2)) (pow.f64 alpha 2))
(/.f64 (*.f64 (-.f64 -2 (*.f64 beta 2)) (/.f64 (-.f64 -2 beta) alpha)) (neg.f64 alpha))
(/.f64 (*.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3))) (+.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta (+.f64 beta (-.f64 -2 beta)))))
(/.f64 (*.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (-.f64 (pow.f64 (-.f64 -2 beta) 2) (pow.f64 beta 2))) (+.f64 beta (-.f64 -2 beta)))
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3)) (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta (+.f64 beta (-.f64 -2 beta)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (pow.f64 beta 2)) (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 beta (-.f64 -2 beta)))
(/.f64 (*.f64 (+.f64 beta 2) (-.f64 -2 (*.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (*.f64 (/.f64 (-.f64 -2 beta) alpha) (-.f64 -2 (*.f64 beta 2))) (neg.f64 alpha))
(/.f64 (/.f64 (*.f64 (-.f64 -2 (*.f64 beta 2)) (/.f64 (+.f64 beta 2) alpha)) 1) alpha)
(/.f64 (/.f64 (*.f64 (-.f64 -2 (*.f64 beta 2)) (/.f64 (+.f64 beta 2) alpha)) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 alpha))
(/.f64 (/.f64 (*.f64 (-.f64 -2 (*.f64 beta 2)) (/.f64 (+.f64 beta 2) alpha)) (sqrt.f64 alpha)) (sqrt.f64 alpha))
(pow.f64 (/.f64 (*.f64 (-.f64 -2 (*.f64 beta 2)) (+.f64 beta 2)) (pow.f64 alpha 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 (-.f64 -2 (*.f64 beta 2)) (+.f64 beta 2)) (pow.f64 alpha 2))) 3)
(pow.f64 (pow.f64 (/.f64 (*.f64 (-.f64 -2 (*.f64 beta 2)) (+.f64 beta 2)) (pow.f64 alpha 2)) 3) 1/3)
(pow.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 beta 2)) alpha) (sqrt.f64 (-.f64 -2 (*.f64 beta 2)))) 2)
(sqrt.f64 (pow.f64 (/.f64 (*.f64 (-.f64 -2 (*.f64 beta 2)) (+.f64 beta 2)) (pow.f64 alpha 2)) 2))
(log.f64 (pow.f64 (exp.f64 (-.f64 -2 (*.f64 beta 2))) (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 (-.f64 -2 (*.f64 beta 2)) (+.f64 beta 2)) (pow.f64 alpha 2)))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 (-.f64 -2 (*.f64 beta 2)) (+.f64 beta 2)) (pow.f64 alpha 2)) 3))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 (-.f64 -2 (*.f64 beta 2)) (+.f64 beta 2)) (pow.f64 alpha 2))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 (-.f64 -2 (*.f64 beta 2)) (+.f64 beta 2)) (pow.f64 alpha 2))))
(exp.f64 (log.f64 (/.f64 (*.f64 (-.f64 -2 (*.f64 beta 2)) (+.f64 beta 2)) (pow.f64 alpha 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (-.f64 -2 (*.f64 beta 2)) (+.f64 beta 2)) (pow.f64 alpha 2))) 1))

simplify308.0ms (2.6%)

Algorithm
egg-herbie
Rules
1302×fma-define
814×times-frac
630×distribute-lft-in
620×distribute-rgt-in
474×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
091032432
1290031208
Stop Event
node limit
Counts
326 → 462
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))
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(pow.f64 (cbrt.f64 2) 2)
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(pow.f64 (cbrt.f64 2) 2)
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(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
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(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha))
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(-.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)))
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2
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(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
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(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
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(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
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(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
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(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
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(/.f64 2 (pow.f64 alpha 2))
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(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (-.f64 -2 (*.f64 beta 2)) (+.f64 beta 2)) (pow.f64 alpha 2)) 3) (pow.f64 (/.f64 (-.f64 -2 (*.f64 beta 2)) alpha) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (-.f64 -2 (*.f64 beta 2)) (+.f64 beta 2)) (pow.f64 alpha 2)) 2) (*.f64 (/.f64 (-.f64 -2 (*.f64 beta 2)) alpha) (*.f64 (-.f64 -2 (*.f64 beta 2)) (+.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (/.f64 1 alpha)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (-.f64 -2 (*.f64 beta 2)) (+.f64 beta 2)) (pow.f64 alpha 2)) 2) (pow.f64 (/.f64 (-.f64 -2 (*.f64 beta 2)) alpha) 2))) (neg.f64 (*.f64 (-.f64 -2 (*.f64 beta 2)) (+.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (/.f64 1 alpha)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (-.f64 -2 (*.f64 beta 2)) (+.f64 beta 2)) (pow.f64 alpha 2)) 3) (pow.f64 (/.f64 (-.f64 -2 (*.f64 beta 2)) (neg.f64 alpha)) 3)) (+.f64 (pow.f64 (/.f64 (*.f64 (-.f64 -2 (*.f64 beta 2)) (+.f64 beta 2)) (pow.f64 alpha 2)) 2) (-.f64 (*.f64 (/.f64 (-.f64 -2 (*.f64 beta 2)) (neg.f64 alpha)) (/.f64 (-.f64 -2 (*.f64 beta 2)) (neg.f64 alpha))) (*.f64 (/.f64 (*.f64 (-.f64 -2 (*.f64 beta 2)) (+.f64 beta 2)) (pow.f64 alpha 2)) (/.f64 (-.f64 -2 (*.f64 beta 2)) (neg.f64 alpha))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (-.f64 -2 (*.f64 beta 2)) (+.f64 beta 2)) (pow.f64 alpha 2)) 2) (*.f64 (/.f64 (-.f64 -2 (*.f64 beta 2)) (neg.f64 alpha)) (/.f64 (-.f64 -2 (*.f64 beta 2)) (neg.f64 alpha)))) (-.f64 (/.f64 (*.f64 (-.f64 -2 (*.f64 beta 2)) (+.f64 beta 2)) (pow.f64 alpha 2)) (/.f64 (-.f64 -2 (*.f64 beta 2)) (neg.f64 alpha))))
(pow.f64 (*.f64 (-.f64 -2 (*.f64 beta 2)) (-.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (/.f64 1 alpha))) 1)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 -2 (*.f64 beta 2)) (-.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (/.f64 1 alpha)))) 3)
(pow.f64 (pow.f64 (*.f64 (-.f64 -2 (*.f64 beta 2)) (-.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (/.f64 1 alpha))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 -2 (*.f64 beta 2)) (-.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (/.f64 1 alpha)))) 2)
(sqrt.f64 (pow.f64 (*.f64 (-.f64 -2 (*.f64 beta 2)) (-.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (/.f64 1 alpha))) 2))
(log.f64 (exp.f64 (*.f64 (-.f64 -2 (*.f64 beta 2)) (-.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (/.f64 1 alpha)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 -2 (*.f64 beta 2)) (-.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (/.f64 1 alpha))))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 -2 (*.f64 beta 2)) (-.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (/.f64 1 alpha))) 3))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 -2 (*.f64 beta 2)) (-.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (/.f64 1 alpha)))))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 -2 (*.f64 beta 2)) (-.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (/.f64 1 alpha)))))
(exp.f64 (log.f64 (*.f64 (-.f64 -2 (*.f64 beta 2)) (-.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (/.f64 1 alpha)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 -2 (*.f64 beta 2)) (-.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (/.f64 1 alpha)))) 1))
(fma.f64 1 (/.f64 (*.f64 (-.f64 -2 (*.f64 beta 2)) (+.f64 beta 2)) (pow.f64 alpha 2)) (/.f64 (-.f64 -2 (*.f64 beta 2)) (neg.f64 alpha)))
(fma.f64 (-.f64 -2 (*.f64 beta 2)) (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (/.f64 (-.f64 -2 (*.f64 beta 2)) (neg.f64 alpha)))
(fma.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (-.f64 -2 (*.f64 beta 2)) (/.f64 (-.f64 -2 (*.f64 beta 2)) (neg.f64 alpha)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 (-.f64 -2 (*.f64 beta 2)) (+.f64 beta 2)) (pow.f64 alpha 2))) 2) (cbrt.f64 (/.f64 (*.f64 (-.f64 -2 (*.f64 beta 2)) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 (-.f64 -2 (*.f64 beta 2)) (neg.f64 alpha)))
(fma.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 beta 2)) alpha) (sqrt.f64 (-.f64 -2 (*.f64 beta 2)))) (*.f64 (/.f64 (sqrt.f64 (+.f64 beta 2)) alpha) (sqrt.f64 (-.f64 -2 (*.f64 beta 2)))) (/.f64 (-.f64 -2 (*.f64 beta 2)) (neg.f64 alpha)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))) 1)
(*.f64 1 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))
(*.f64 (+.f64 beta 2) (*.f64 (/.f64 1 alpha) (/.f64 1 alpha)))
(*.f64 (+.f64 beta 2) (/.f64 (/.f64 1 alpha) alpha))
(*.f64 (+.f64 beta 2) (/.f64 1 (pow.f64 alpha 2)))
(*.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 1 alpha))
(*.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)) 1)
(*.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) 2) (cbrt.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)) (/.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) alpha))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)) (*.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) (/.f64 1 alpha)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 beta 2) 2)) (/.f64 (cbrt.f64 (+.f64 beta 2)) (pow.f64 alpha 2)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta 2)) alpha) (/.f64 (sqrt.f64 (+.f64 beta 2)) alpha))
(*.f64 (sqrt.f64 (/.f64 (+.f64 beta 2) alpha)) (/.f64 (sqrt.f64 (/.f64 (+.f64 beta 2) alpha)) alpha))
(*.f64 (sqrt.f64 (/.f64 (+.f64 beta 2) alpha)) (*.f64 (sqrt.f64 (/.f64 (+.f64 beta 2) alpha)) (/.f64 1 alpha)))
(*.f64 (sqrt.f64 (+.f64 beta 2)) (/.f64 (sqrt.f64 (+.f64 beta 2)) (pow.f64 alpha 2)))
(*.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 1 (neg.f64 alpha)))
(*.f64 (/.f64 1 alpha) (/.f64 (+.f64 beta 2) alpha))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 beta 2) 2)) alpha) (/.f64 (cbrt.f64 (+.f64 beta 2)) alpha))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (/.f64 (+.f64 beta 2) alpha) (cbrt.f64 alpha)))
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (/.f64 (+.f64 beta 2) alpha) (sqrt.f64 alpha)))
(*.f64 (/.f64 (+.f64 beta 2) 1) (/.f64 (/.f64 1 alpha) alpha))
(*.f64 (/.f64 (+.f64 beta 2) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (/.f64 1 alpha) (cbrt.f64 alpha)))
(*.f64 (/.f64 (+.f64 beta 2) (sqrt.f64 alpha)) (/.f64 (/.f64 1 alpha) (sqrt.f64 alpha)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)) 1) (/.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) alpha))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) (sqrt.f64 alpha)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 beta 2) alpha)) 1) (/.f64 (sqrt.f64 (/.f64 (+.f64 beta 2) alpha)) alpha))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 beta 2) alpha)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (/.f64 (+.f64 beta 2) alpha)) (cbrt.f64 alpha)))
(pow.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (+.f64 beta 2)) alpha) 2)
(pow.f64 (*.f64 alpha (/.f64 alpha (+.f64 beta 2))) -1)
(neg.f64 (/.f64 (/.f64 (+.f64 beta 2) alpha) (neg.f64 alpha)))
(neg.f64 (/.f64 (/.f64 (-.f64 -2 beta) alpha) alpha))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3) (pow.f64 alpha 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))))
(exp.f64 (log.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) 1))
(+.f64 (*.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (-.f64 -2 beta)) (*.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (neg.f64 beta)))
(+.f64 (*.f64 (-.f64 -2 beta) (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (*.f64 (neg.f64 beta) (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (-.f64 -2 (*.f64 beta 2)) (+.f64 beta 2)) (pow.f64 alpha 2)))) 1)
(/.f64 1 (/.f64 alpha (*.f64 (-.f64 -2 (*.f64 beta 2)) (/.f64 (+.f64 beta 2) alpha))))
(/.f64 (-.f64 -2 (*.f64 beta 2)) (*.f64 alpha (/.f64 alpha (+.f64 beta 2))))
(/.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3)) (*.f64 (*.f64 alpha (/.f64 alpha (+.f64 beta 2))) (+.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta (+.f64 beta (-.f64 -2 beta))))))
(/.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (pow.f64 beta 2)) (*.f64 (*.f64 alpha (/.f64 alpha (+.f64 beta 2))) (+.f64 beta (-.f64 -2 beta))))
(/.f64 (*.f64 (-.f64 -2 (*.f64 beta 2)) (/.f64 (+.f64 beta 2) alpha)) alpha)
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3)) 1) (*.f64 (+.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta (+.f64 beta (-.f64 -2 beta)))) (*.f64 alpha (/.f64 alpha (+.f64 beta 2)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (pow.f64 beta 2)) 1) (*.f64 (+.f64 beta (-.f64 -2 beta)) (*.f64 alpha (/.f64 alpha (+.f64 beta 2)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3)) (+.f64 beta 2)) (*.f64 (+.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta (+.f64 beta (-.f64 -2 beta)))) (pow.f64 alpha 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (pow.f64 beta 2)) (+.f64 beta 2)) (*.f64 (+.f64 beta (-.f64 -2 beta)) (pow.f64 alpha 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3)) (/.f64 (+.f64 beta 2) alpha)) (*.f64 (+.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta (+.f64 beta (-.f64 -2 beta)))) alpha))
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3)) (/.f64 (-.f64 -2 beta) alpha)) (*.f64 (+.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta (+.f64 beta (-.f64 -2 beta)))) (neg.f64 alpha)))
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (pow.f64 beta 2)) (/.f64 (+.f64 beta 2) alpha)) (*.f64 (+.f64 beta (-.f64 -2 beta)) alpha))
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (pow.f64 beta 2)) (/.f64 (-.f64 -2 beta) alpha)) (*.f64 (+.f64 beta (-.f64 -2 beta)) (neg.f64 alpha)))
(/.f64 (*.f64 (+.f64 beta 2) (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3))) (*.f64 (pow.f64 alpha 2) (+.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta (+.f64 beta (-.f64 -2 beta))))))
(/.f64 (*.f64 (+.f64 beta 2) (-.f64 (pow.f64 (-.f64 -2 beta) 2) (pow.f64 beta 2))) (*.f64 (pow.f64 alpha 2) (+.f64 beta (-.f64 -2 beta))))
(/.f64 (*.f64 (/.f64 (+.f64 beta 2) alpha) (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3))) (*.f64 alpha (+.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta (+.f64 beta (-.f64 -2 beta))))))
(/.f64 (*.f64 (/.f64 (+.f64 beta 2) alpha) (-.f64 (pow.f64 (-.f64 -2 beta) 2) (pow.f64 beta 2))) (*.f64 alpha (+.f64 beta (-.f64 -2 beta))))
(/.f64 (*.f64 (/.f64 (-.f64 -2 beta) alpha) (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3))) (*.f64 (neg.f64 alpha) (+.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta (+.f64 beta (-.f64 -2 beta))))))
(/.f64 (*.f64 (/.f64 (-.f64 -2 beta) alpha) (-.f64 (pow.f64 (-.f64 -2 beta) 2) (pow.f64 beta 2))) (*.f64 (neg.f64 alpha) (+.f64 beta (-.f64 -2 beta))))
(/.f64 (neg.f64 (*.f64 (-.f64 -2 (*.f64 beta 2)) (/.f64 (+.f64 beta 2) alpha))) (neg.f64 alpha))
(/.f64 (*.f64 (-.f64 -2 (*.f64 beta 2)) (+.f64 beta 2)) (pow.f64 alpha 2))
(/.f64 (*.f64 (-.f64 -2 (*.f64 beta 2)) (/.f64 (-.f64 -2 beta) alpha)) (neg.f64 alpha))
(/.f64 (*.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3))) (+.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta (+.f64 beta (-.f64 -2 beta)))))
(/.f64 (*.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (-.f64 (pow.f64 (-.f64 -2 beta) 2) (pow.f64 beta 2))) (+.f64 beta (-.f64 -2 beta)))
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3)) (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta (+.f64 beta (-.f64 -2 beta)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (pow.f64 beta 2)) (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 beta (-.f64 -2 beta)))
(/.f64 (*.f64 (+.f64 beta 2) (-.f64 -2 (*.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (*.f64 (/.f64 (-.f64 -2 beta) alpha) (-.f64 -2 (*.f64 beta 2))) (neg.f64 alpha))
(/.f64 (/.f64 (*.f64 (-.f64 -2 (*.f64 beta 2)) (/.f64 (+.f64 beta 2) alpha)) 1) alpha)
(/.f64 (/.f64 (*.f64 (-.f64 -2 (*.f64 beta 2)) (/.f64 (+.f64 beta 2) alpha)) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 alpha))
(/.f64 (/.f64 (*.f64 (-.f64 -2 (*.f64 beta 2)) (/.f64 (+.f64 beta 2) alpha)) (sqrt.f64 alpha)) (sqrt.f64 alpha))
(pow.f64 (/.f64 (*.f64 (-.f64 -2 (*.f64 beta 2)) (+.f64 beta 2)) (pow.f64 alpha 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 (-.f64 -2 (*.f64 beta 2)) (+.f64 beta 2)) (pow.f64 alpha 2))) 3)
(pow.f64 (pow.f64 (/.f64 (*.f64 (-.f64 -2 (*.f64 beta 2)) (+.f64 beta 2)) (pow.f64 alpha 2)) 3) 1/3)
(pow.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 beta 2)) alpha) (sqrt.f64 (-.f64 -2 (*.f64 beta 2)))) 2)
(sqrt.f64 (pow.f64 (/.f64 (*.f64 (-.f64 -2 (*.f64 beta 2)) (+.f64 beta 2)) (pow.f64 alpha 2)) 2))
(log.f64 (pow.f64 (exp.f64 (-.f64 -2 (*.f64 beta 2))) (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 (-.f64 -2 (*.f64 beta 2)) (+.f64 beta 2)) (pow.f64 alpha 2)))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 (-.f64 -2 (*.f64 beta 2)) (+.f64 beta 2)) (pow.f64 alpha 2)) 3))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 (-.f64 -2 (*.f64 beta 2)) (+.f64 beta 2)) (pow.f64 alpha 2))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 (-.f64 -2 (*.f64 beta 2)) (+.f64 beta 2)) (pow.f64 alpha 2))))
(exp.f64 (log.f64 (/.f64 (*.f64 (-.f64 -2 (*.f64 beta 2)) (+.f64 beta 2)) (pow.f64 alpha 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (-.f64 -2 (*.f64 beta 2)) (+.f64 beta 2)) (pow.f64 alpha 2))) 1))
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)))))
(+.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)))
(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))))) (fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2))) (*.f64 (pow.f64 alpha 2) (-.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 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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(+.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))))
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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))
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(cbrt.f64 2)
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(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)))
(+.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))))
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2
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2
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(*.f64 (+.f64 beta 2) (/.f64 (+.f64 -2 (*.f64 beta -2)) (pow.f64 alpha 2)))
(pow.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 beta 2)) alpha) (sqrt.f64 (-.f64 -2 (*.f64 beta 2)))) 2)
(pow.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 beta 2)) alpha) (sqrt.f64 (+.f64 -2 (*.f64 beta -2)))) 2)
(sqrt.f64 (pow.f64 (/.f64 (*.f64 (-.f64 -2 (*.f64 beta 2)) (+.f64 beta 2)) (pow.f64 alpha 2)) 2))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 -2 (*.f64 beta 2)) (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) 2))
(fabs.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 -2 (*.f64 beta -2)) (pow.f64 alpha 2))))
(log.f64 (pow.f64 (exp.f64 (-.f64 -2 (*.f64 beta 2))) (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))))
(*.f64 (-.f64 -2 (*.f64 beta 2)) (/.f64 (/.f64 (+.f64 beta 2) alpha) alpha))
(*.f64 (+.f64 beta 2) (/.f64 (+.f64 -2 (*.f64 beta -2)) (pow.f64 alpha 2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 (-.f64 -2 (*.f64 beta 2)) (+.f64 beta 2)) (pow.f64 alpha 2)))))
(*.f64 (-.f64 -2 (*.f64 beta 2)) (/.f64 (/.f64 (+.f64 beta 2) alpha) alpha))
(*.f64 (+.f64 beta 2) (/.f64 (+.f64 -2 (*.f64 beta -2)) (pow.f64 alpha 2)))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 (-.f64 -2 (*.f64 beta 2)) (+.f64 beta 2)) (pow.f64 alpha 2)) 3))
(*.f64 (-.f64 -2 (*.f64 beta 2)) (/.f64 (/.f64 (+.f64 beta 2) alpha) alpha))
(*.f64 (+.f64 beta 2) (/.f64 (+.f64 -2 (*.f64 beta -2)) (pow.f64 alpha 2)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 (-.f64 -2 (*.f64 beta 2)) (+.f64 beta 2)) (pow.f64 alpha 2))))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 -2 (*.f64 beta 2)) (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 -2 (*.f64 beta -2)) (pow.f64 alpha 2)))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 (-.f64 -2 (*.f64 beta 2)) (+.f64 beta 2)) (pow.f64 alpha 2))))
(*.f64 (-.f64 -2 (*.f64 beta 2)) (/.f64 (/.f64 (+.f64 beta 2) alpha) alpha))
(*.f64 (+.f64 beta 2) (/.f64 (+.f64 -2 (*.f64 beta -2)) (pow.f64 alpha 2)))
(exp.f64 (log.f64 (/.f64 (*.f64 (-.f64 -2 (*.f64 beta 2)) (+.f64 beta 2)) (pow.f64 alpha 2))))
(*.f64 (-.f64 -2 (*.f64 beta 2)) (/.f64 (/.f64 (+.f64 beta 2) alpha) alpha))
(*.f64 (+.f64 beta 2) (/.f64 (+.f64 -2 (*.f64 beta -2)) (pow.f64 alpha 2)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (-.f64 -2 (*.f64 beta 2)) (+.f64 beta 2)) (pow.f64 alpha 2))) 1))
(*.f64 (-.f64 -2 (*.f64 beta 2)) (/.f64 (/.f64 (+.f64 beta 2) alpha) alpha))
(*.f64 (+.f64 beta 2) (/.f64 (+.f64 -2 (*.f64 beta -2)) (pow.f64 alpha 2)))

eval1.2s (9.8%)

Compiler

Compiled 42129 to 31784 computations (24.6% saved)

prune194.0ms (1.6%)

Pruning

20 alts after pruning (10 fresh and 10 done)

PrunedKeptTotal
New8295834
Fresh055
Picked235
Done077
Total83120851
Accuracy
100.0%
Counts
851 → 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)
25.5%
(/.f64 (/.f64 (*.f64 (+.f64 -2 (*.f64 beta -2)) (+.f64 (/.f64 (+.f64 beta 2) alpha) -1)) alpha) 2)
8.5%
(/.f64 (/.f64 (*.f64 2 beta) alpha) 2)
23.2%
(/.f64 (/.f64 2 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 (-.f64 -2 beta) alpha) (/.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))))) 2)
30.6%
(/.f64 (-.f64 2 (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta)) 2)
76.9%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 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 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 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 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 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 1063 to 781 computations (26.5% saved)

regimes128.0ms (1.1%)

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 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2)
(/.f64 (/.f64 (*.f64 (+.f64 -2 (*.f64 beta -2)) (+.f64 (/.f64 (+.f64 beta 2) alpha) -1)) alpha) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
(/.f64 (-.f64 (*.f64 (-.f64 (-.f64 -2 beta) beta) (/.f64 (/.f64 (+.f64 beta 2) alpha) alpha)) (/.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) beta) (/.f64 (+.f64 2 beta) (pow.f64 alpha 2))) (/.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 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 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 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 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 (-.f64 -2 beta) alpha) (/.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))))) 2)
(/.f64 (+.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)))))) 2)
(/.f64 (+.f64 (-.f64 (-.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 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4))) (*.f64 beta (+.f64 (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 4))))) (*.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3)))) 2)
Outputs
(/.f64 (/.f64 (*.f64 (+.f64 -2 (*.f64 beta -2)) (+.f64 (/.f64 (+.f64 beta 2) alpha) -1)) alpha) 2)
(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) 2)
Calls

5 calls:

68.0ms
beta
28.0ms
alpha
16.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
7.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
6.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
Results
AccuracySegmentsBranch
94.5%2alpha
81.8%5beta
100.0%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
100.0%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
100.0%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
Compiler

Compiled 45 to 31 computations (31.1% saved)

regimes25.0ms (0.2%)

Counts
20 → 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 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2)
(/.f64 (/.f64 (*.f64 (+.f64 -2 (*.f64 beta -2)) (+.f64 (/.f64 (+.f64 beta 2) alpha) -1)) alpha) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
(/.f64 (-.f64 (*.f64 (-.f64 (-.f64 -2 beta) beta) (/.f64 (/.f64 (+.f64 beta 2) alpha) alpha)) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 2)
Outputs
(/.f64 (/.f64 (*.f64 (+.f64 -2 (*.f64 beta -2)) (+.f64 (/.f64 (+.f64 beta 2) alpha) -1)) 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)

regimes24.0ms (0.2%)

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

regimes25.0ms (0.2%)

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 beta alpha) (+.f64 (+.f64 beta alpha) 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:

14.0ms
(/.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)

regimes16.0ms (0.1%)

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:

14.0ms
alpha
Results
AccuracySegmentsBranch
94.0%2alpha
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes13.0ms (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:

13.0ms
alpha
Results
AccuracySegmentsBranch
89.5%2alpha
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes46.0ms (0.4%)

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:

32.0ms
beta
13.0ms
alpha
Results
AccuracySegmentsBranch
79.1%6beta
69.6%2alpha
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes28.0ms (0.2%)

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:

27.0ms
beta
Results
AccuracySegmentsBranch
78.3%6beta
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes18.0ms (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
8.0ms
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)

bsearch16.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
15.0ms
935300196968450.6
4386447071967742.0
Results
12.0ms80×256valid
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
13.0ms
935300196968450.6
4386447071967742.0
Results
10.0ms80×256valid
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)

bsearch128.0ms (1.1%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
23.0ms
2.5449390523190318e-6
56274.30202341108
27.0ms
1.9634733323465343e-33
6.901291187860541e-32
17.0ms
8.602496746379351e-72
9.327772738658617e-70
10.0ms
-8.090271939069035e-283
-4.212543388915055e-283
51.0ms
-5.0023593050656885e-257
-7.540329147991658e-264
Results
87.0ms434×256valid
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)

bsearch122.0ms (1%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
64.0ms
2.5449390523190318e-6
56274.30202341108
16.0ms
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
85.0ms420×256valid
19.0ms72×1024valid
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)

bsearch12.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
935300196968450.6
4386447071967742.0
Results
8.0ms80×256valid
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)

simplify35.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0991127
11301127
21481127
31821127
41951127
52061127
62131127
72161127
82171127
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 (*.f64 beta -2)) (+.f64 (/.f64 (+.f64 beta 2) alpha) -1)) 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 (*.f64 beta -2)) (+.f64 (/.f64 (+.f64 beta 2) alpha) -1)) 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 (+.f64 -2 (*.f64 beta -2)) (+.f64 (/.f64 (+.f64 beta 2) alpha) -1)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -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 (*.f64 beta -2)) (+.f64 (/.f64 (+.f64 beta 2) alpha) -1)) 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 (*.f64 beta -2)) (+.f64 (/.f64 (+.f64 beta 2) alpha) -1)) 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 (*.f64 beta -2)) (+.f64 (/.f64 (+.f64 beta 2) alpha) -1)) 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 (*.f64 beta -2)) (+.f64 (/.f64 (+.f64 beta 2) alpha) -1)) 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 (*.f64 beta -2)) (+.f64 (/.f64 (+.f64 beta 2) alpha) -1)) 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 (*.f64 beta -2)) (+.f64 (/.f64 (+.f64 beta 2) alpha) -1)) 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 (+.f64 -2 (*.f64 beta -2)) (+.f64 (/.f64 (+.f64 beta 2) alpha) -1)) 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 (+.f64 -2 (*.f64 beta -2)) (+.f64 (/.f64 (+.f64 beta 2) alpha) -1)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -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 350 to 264 computations (24.6% saved)

soundness3.1s (26%)

Rules
6132×fma-neg
1404×fma-neg
1404×fma-neg
1302×fma-define
1235×log1p-expm1-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038359
196351
2204351
3534343
41351343
53461343
66068343
76956343
87145343
97181343
107228343
117228343
127435343
137550343
147552343
157552315
045112390
1128411925
2466011696
030308
1587308
091624218
1275420949
027314
1440275
27018275
091032432
1290031208
01480
120280
2317480
0120641548
1359740182
045112390
1128411925
2466011696
091624218
1275420949
0120641548
1359740182
01480
120280
2317480
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 958 to 682 computations (28.8% saved)

end0.0ms (0%)

preprocess241.0ms (2%)

Compiler

Compiled 694 to 502 computations (27.7% saved)

Profiling

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