Octave 3.8, jcobi/1

Time bar (total: 11.2s)

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)

sample1.2s (11%)

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

preprocess656.0ms (5.8%)

Algorithm
egg-herbie
Rules
6118×fma-neg
1124×div-sub
712×sub-neg
700×associate-/r*
610×distribute-lft-neg-in
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
650-0-(+.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
1126351
2317351
3783343
41780343
53986343
66208343
77039343
87195343
97233343
107284343
117288343
127440343
137559343
147561343
157561315
Stop Event
node limit
Calls
Call 1
Inputs
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta (neg.f64 alpha)) (+.f64 (+.f64 (neg.f64 alpha) beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 (neg.f64 beta) alpha) (+.f64 (+.f64 alpha (neg.f64 beta)) 2)) 1) 2)
(neg.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta (neg.f64 alpha)) (+.f64 (+.f64 (neg.f64 alpha) beta) 2)) 1) 2))
(neg.f64 (/.f64 (+.f64 (/.f64 (-.f64 (neg.f64 beta) alpha) (+.f64 (+.f64 alpha (neg.f64 beta)) 2)) 1) 2))
(/.f64 (+.f64 (/.f64 (-.f64 alpha beta) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
Outputs
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 2)
(-.f64 1/2 (/.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2))
(-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))))
(+.f64 1/2 (/.f64 (-.f64 beta alpha) (-.f64 4 (*.f64 (+.f64 beta alpha) -2))))
(+.f64 1/2 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) 2 4)))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 2)
(-.f64 1/2 (/.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2))
(-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))))
(+.f64 1/2 (/.f64 (-.f64 beta alpha) (-.f64 4 (*.f64 (+.f64 beta alpha) -2))))
(+.f64 1/2 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) 2 4)))
(/.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 2 alpha)))) 2)
(+.f64 (/.f64 (+.f64 beta alpha) (+.f64 (*.f64 2 (-.f64 beta alpha)) 4)) 1/2)
(+.f64 1/2 (*.f64 (+.f64 beta alpha) (/.f64 -1/2 (-.f64 -2 (-.f64 beta alpha)))))
(fma.f64 (+.f64 beta alpha) (/.f64 -1/2 (-.f64 -2 (-.f64 beta alpha))) 1/2)
(/.f64 (+.f64 (/.f64 (-.f64 (neg.f64 beta) alpha) (+.f64 (+.f64 alpha (neg.f64 beta)) 2)) 1) 2)
(/.f64 (+.f64 1 (/.f64 (-.f64 (neg.f64 beta) alpha) (+.f64 2 (-.f64 alpha beta)))) 2)
(/.f64 (+.f64 1 (/.f64 (-.f64 (neg.f64 beta) alpha) (+.f64 alpha (-.f64 2 beta)))) 2)
(/.f64 (+.f64 1 (/.f64 (+.f64 beta alpha) (+.f64 beta (-.f64 -2 alpha)))) 2)
(-.f64 1/2 (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (-.f64 -2 alpha))) -2))
(-.f64 1/2 (*.f64 (+.f64 beta alpha) (/.f64 1/2 (+.f64 2 (-.f64 alpha beta)))))
(-.f64 1/2 (/.f64 (+.f64 beta alpha) (fma.f64 2 (-.f64 alpha beta) 4)))
(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 2 alpha)))) -2)
(-.f64 -1/2 (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (-.f64 2 alpha))) 2))
(+.f64 -1/2 (/.f64 (+.f64 beta alpha) (*.f64 2 (-.f64 -2 (-.f64 beta alpha)))))
(+.f64 -1/2 (/.f64 (+.f64 beta alpha) (-.f64 -4 (*.f64 2 (-.f64 beta alpha)))))
(+.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 -1 (/.f64 (+.f64 beta alpha) (+.f64 2 (-.f64 alpha beta)))) 2)
(-.f64 -1/2 (/.f64 (+.f64 beta alpha) (+.f64 -4 (*.f64 2 (-.f64 beta alpha)))))
(+.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 1/2 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))
(/.f64 (-.f64 -1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))) -2)
(-.f64 1/2 (/.f64 (-.f64 beta alpha) (-.f64 4 (*.f64 (+.f64 beta alpha) -2))))
(-.f64 1/2 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) 2 4)))
Compiler

Compiled 117 to 59 computations (49.6% saved)

eval1.0ms (0%)

Compiler

Compiled 66 to 40 computations (39.4% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
76.3%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
76.3%
(-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))))
Compiler

Compiled 30 to 22 computations (26.7% saved)

localize228.0ms (2%)

Localize:

Found 5 expressions with local error:

NewAccuracyProgram
100.0%
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
76.4%
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
100.0%
(/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))
99.8%
(*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2))))
76.4%
(-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))))
Compiler

Compiled 98 to 51 computations (48% saved)

series39.0ms (0.3%)

Counts
5 → 120
Calls

30 calls:

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

rewrite344.0ms (3.1%)

Algorithm
batch-egg-rewrite
Rules
1287×log1p-expm1-u
192×associate-*r*
164×add0
160×distribute-rgt-in
159×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021197
1369197
25985197
Stop Event
node limit
Counts
5 → 214
Calls
Call 1
Inputs
(-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2))))
(/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
Outputs
(+.f64 1/2 (*.f64 (-.f64 beta alpha) (neg.f64 (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2))))))
(+.f64 1/2 (*.f64 (*.f64 (-.f64 beta alpha) (neg.f64 (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2))))) 1))
(+.f64 (-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2))))) 0)
(+.f64 0 (-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2))))))
(+.f64 (*.f64 (-.f64 beta alpha) (neg.f64 (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2))))) 1/2)
(*.f64 (-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2))))) 1)
(*.f64 1 (-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2))))))
(*.f64 (cbrt.f64 (-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))))) (pow.f64 (cbrt.f64 (-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))))) 2) (cbrt.f64 (-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))))))
(*.f64 (sqrt.f64 (-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))))) (sqrt.f64 (-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))))))
(*.f64 (-.f64 1/8 (pow.f64 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))) 3)) (/.f64 1 (+.f64 1/4 (*.f64 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))) (+.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))))))))
(*.f64 (-.f64 1/4 (pow.f64 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))) 2)) (/.f64 1 (+.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))))))
(/.f64 1 (/.f64 (+.f64 1/4 (*.f64 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))) (+.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2))))))) (-.f64 1/8 (pow.f64 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))) 3))))
(/.f64 1 (/.f64 (+.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2))))) (-.f64 1/4 (pow.f64 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))) 2))))
(/.f64 (pow.f64 (-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2))))) 3) (+.f64 (pow.f64 (-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2))))) 2) (-.f64 0 (*.f64 (-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2))))) 0))))
(/.f64 (-.f64 1/8 (pow.f64 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))) 3)) (+.f64 1/4 (*.f64 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))) (+.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2))))))))
(/.f64 (-.f64 1/4 (pow.f64 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))) 2)) (+.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (neg.f64 (-.f64 1/8 (pow.f64 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))) 3))) (neg.f64 (+.f64 1/4 (*.f64 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))) (+.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))))))))
(/.f64 (neg.f64 (-.f64 1/4 (pow.f64 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))) 2))) (neg.f64 (+.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))))))
(/.f64 (+.f64 1/8 (pow.f64 (*.f64 (-.f64 beta alpha) (neg.f64 (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2))))) 3)) (+.f64 1/4 (-.f64 (*.f64 (*.f64 (-.f64 beta alpha) (neg.f64 (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2))))) (*.f64 (-.f64 beta alpha) (neg.f64 (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))))) (*.f64 1/2 (*.f64 (-.f64 beta alpha) (neg.f64 (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))))))))
(/.f64 (-.f64 1/4 (*.f64 (*.f64 (-.f64 beta alpha) (neg.f64 (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2))))) (*.f64 (-.f64 beta alpha) (neg.f64 (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2))))))) (-.f64 1/2 (*.f64 (-.f64 beta alpha) (neg.f64 (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))))))
(/.f64 (-.f64 (pow.f64 (-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2))))) 2) 0) (-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2))))))
(pow.f64 (-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2))))) 1)
(pow.f64 (cbrt.f64 (-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))))) 3)
(pow.f64 (pow.f64 (-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2))))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))))) 2)
(sqrt.f64 (pow.f64 (-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2))))) 2))
(log.f64 (exp.f64 (-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2))))))))
(cbrt.f64 (pow.f64 (-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2))))) 3))
(expm1.f64 (log1p.f64 (-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))))))
(log1p.f64 (expm1.f64 (-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))))))
(exp.f64 (log.f64 (-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))))))
(exp.f64 (*.f64 (log.f64 (-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))))) 1))
(fma.f64 1 (-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2))))) 0)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))))) 2) (cbrt.f64 (-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))))) 0)
(fma.f64 (sqrt.f64 (-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))))) (sqrt.f64 (-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))))) 0)
(+.f64 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))) 0)
(+.f64 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))) (*.f64 (-.f64 beta alpha) 0))
(+.f64 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))) (*.f64 (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2))) 0))
(+.f64 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))) (*.f64 0 (-.f64 beta alpha)))
(+.f64 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))) (*.f64 0 (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))))
(+.f64 0 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))))
(+.f64 (*.f64 (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2))) beta) (*.f64 (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2))) (neg.f64 alpha)))
(+.f64 (*.f64 beta (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))) (*.f64 (neg.f64 alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))))) 1)
(/.f64 (-.f64 beta alpha) (*.f64 (+.f64 beta (+.f64 alpha 2)) -2))
(/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (-.f64 beta alpha) -1/2)))
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(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta))))
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (+.f64 alpha -2)))
(*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 2))) (-.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) (neg.f64 (+.f64 beta (+.f64 alpha 2)))))
(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 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 0)
(fma.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 0)
(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)))) 0)
(fma.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 0)

simplify215.0ms (1.9%)

Algorithm
egg-herbie
Rules
1218×distribute-rgt-in
1115×add0
1058×distribute-lft-in
634×times-frac
382×sub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
083423958
1328423271
Stop Event
node limit
Counts
334 → 550
Calls
Call 1
Inputs
(-.f64 1/2 (*.f64 1/2 (/.f64 alpha (+.f64 2 alpha))))
(-.f64 (+.f64 1/2 (*.f64 1/2 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))))) (*.f64 1/2 (/.f64 alpha (+.f64 2 alpha))))
(-.f64 (+.f64 1/2 (+.f64 (*.f64 1/2 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))) (*.f64 1/2 (*.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 1/2 (/.f64 alpha (+.f64 2 alpha))))
(-.f64 (+.f64 1/2 (+.f64 (*.f64 1/2 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))) (+.f64 (*.f64 1/2 (*.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 1/2 (*.f64 (pow.f64 beta 3) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))))))))) (*.f64 1/2 (/.f64 alpha (+.f64 2 alpha))))
1
(+.f64 1 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)))
(+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta))))
(+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))) (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)))))
1
(+.f64 1 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)))
(+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta))))
(+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))) (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)))))
(-.f64 1/2 (*.f64 -1/2 (/.f64 beta (+.f64 2 beta))))
(-.f64 (+.f64 1/2 (*.f64 -1/2 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))) (*.f64 -1/2 (/.f64 beta (+.f64 2 beta))))
(-.f64 (+.f64 1/2 (+.f64 (*.f64 -1/2 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (+.f64 2 beta))))) (*.f64 -1/2 (/.f64 beta (+.f64 2 beta))))
(-.f64 (+.f64 1/2 (+.f64 (*.f64 -1/2 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (+.f64 2 beta)))))) (*.f64 -1/2 (/.f64 beta (+.f64 2 beta))))
(*.f64 1/2 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 2 beta))) alpha))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 2 beta) (-.f64 beta (*.f64 -1 (+.f64 2 beta)))) (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 2 beta))) alpha)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 2 beta) (-.f64 beta (*.f64 -1 (+.f64 2 beta)))) (pow.f64 alpha 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (+.f64 2 beta) 2) (-.f64 beta (*.f64 -1 (+.f64 2 beta)))) (pow.f64 alpha 3))) (*.f64 1/2 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 2 beta))) alpha))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 2 beta) (-.f64 beta (*.f64 -1 (+.f64 2 beta)))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (+.f64 2 beta) 3) (-.f64 beta (*.f64 -1 (+.f64 2 beta)))) (pow.f64 alpha 4))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (+.f64 2 beta) 2) (-.f64 beta (*.f64 -1 (+.f64 2 beta)))) (pow.f64 alpha 3))) (*.f64 1/2 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 2 beta))) alpha)))))
(*.f64 -1/2 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha))
(+.f64 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha)) (*.f64 1/2 (/.f64 (*.f64 (+.f64 2 beta) (-.f64 (*.f64 -1 beta) (+.f64 2 beta))) (pow.f64 alpha 2))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (+.f64 2 beta) 2) (-.f64 (*.f64 -1 beta) (+.f64 2 beta))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha)) (*.f64 1/2 (/.f64 (*.f64 (+.f64 2 beta) (-.f64 (*.f64 -1 beta) (+.f64 2 beta))) (pow.f64 alpha 2)))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (+.f64 2 beta) 2) (-.f64 (*.f64 -1 beta) (+.f64 2 beta))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 2 beta) (-.f64 (*.f64 -1 beta) (+.f64 2 beta))) (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (+.f64 2 beta) 3) (-.f64 (*.f64 -1 beta) (+.f64 2 beta))) (pow.f64 alpha 4))))))
(*.f64 1/2 (/.f64 alpha (+.f64 2 alpha)))
(+.f64 (*.f64 -1/2 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))) (*.f64 1/2 (/.f64 alpha (+.f64 2 alpha))))
(+.f64 (*.f64 -1/2 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))) (+.f64 (*.f64 -1/2 (*.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 1/2 (/.f64 alpha (+.f64 2 alpha)))))
(+.f64 (*.f64 -1/2 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))) (+.f64 (*.f64 -1/2 (*.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 -1/2 (*.f64 (pow.f64 beta 3) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)))))) (*.f64 1/2 (/.f64 alpha (+.f64 2 alpha))))))
-1/2
(-.f64 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)) 1/2)
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)) (*.f64 1/2 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2)))) 1/2)
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)) (*.f64 1/2 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))))) 1/2)
-1/2
(-.f64 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)) 1/2)
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)) (*.f64 1/2 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2)))) 1/2)
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)) (*.f64 1/2 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))))) 1/2)
(*.f64 -1/2 (/.f64 beta (+.f64 2 beta)))
(+.f64 (*.f64 -1/2 (/.f64 beta (+.f64 2 beta))) (*.f64 1/2 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))))
(+.f64 (*.f64 -1/2 (/.f64 beta (+.f64 2 beta))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (+.f64 2 beta))) (*.f64 1/2 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))))
(+.f64 (*.f64 -1/2 (/.f64 beta (+.f64 2 beta))) (+.f64 (*.f64 -1/2 (/.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 1/2 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (*.f64 1/2 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))))))
1/2
(+.f64 1/2 (*.f64 -1/2 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 2 beta))) alpha)))
(+.f64 1/2 (+.f64 (*.f64 -1/2 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 2 beta))) alpha)) (*.f64 1/2 (/.f64 (*.f64 (+.f64 2 beta) (-.f64 beta (*.f64 -1 (+.f64 2 beta)))) (pow.f64 alpha 2)))))
(+.f64 1/2 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (+.f64 2 beta) 2) (-.f64 beta (*.f64 -1 (+.f64 2 beta)))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 2 beta))) alpha)) (*.f64 1/2 (/.f64 (*.f64 (+.f64 2 beta) (-.f64 beta (*.f64 -1 (+.f64 2 beta)))) (pow.f64 alpha 2))))))
1/2
(+.f64 1/2 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha)))
(+.f64 1/2 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 2 beta) (-.f64 (*.f64 -1 beta) (+.f64 2 beta))) (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha))))
(+.f64 1/2 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 2 beta) (-.f64 (*.f64 -1 beta) (+.f64 2 beta))) (pow.f64 alpha 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (+.f64 2 beta) 2) (-.f64 (*.f64 -1 beta) (+.f64 2 beta))) (pow.f64 alpha 3))) (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha)))))
(/.f64 -1/2 (+.f64 2 alpha))
(-.f64 (*.f64 1/2 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (*.f64 1/2 (/.f64 1 (+.f64 2 alpha))))
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 3))) (*.f64 1/2 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 1/2 (/.f64 1 (+.f64 2 alpha))))
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (*.f64 1/2 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (*.f64 1/2 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 4))))) (*.f64 1/2 (/.f64 1 (+.f64 2 alpha))))
(/.f64 -1/2 beta)
(-.f64 (*.f64 1/2 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))) (*.f64 1/2 (/.f64 1 beta)))
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3))) (*.f64 1/2 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2)))) (*.f64 1/2 (/.f64 1 beta)))
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 4))))) (*.f64 1/2 (/.f64 1 beta)))
(/.f64 -1/2 beta)
(-.f64 (*.f64 1/2 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))) (*.f64 1/2 (/.f64 1 beta)))
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3))) (*.f64 1/2 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2)))) (*.f64 1/2 (/.f64 1 beta)))
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 4))))) (*.f64 1/2 (/.f64 1 beta)))
(/.f64 -1/2 (+.f64 2 beta))
(-.f64 (*.f64 1/2 (/.f64 alpha (pow.f64 (+.f64 2 beta) 2))) (*.f64 1/2 (/.f64 1 (+.f64 2 beta))))
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 beta) 3))) (*.f64 1/2 (/.f64 alpha (pow.f64 (+.f64 2 beta) 2)))) (*.f64 1/2 (/.f64 1 (+.f64 2 beta))))
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 beta) 3))) (+.f64 (*.f64 1/2 (/.f64 alpha (pow.f64 (+.f64 2 beta) 2))) (*.f64 1/2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 4))))) (*.f64 1/2 (/.f64 1 (+.f64 2 beta))))
(/.f64 -1/2 alpha)
(-.f64 (*.f64 1/2 (/.f64 (+.f64 2 beta) (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 1 alpha)))
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3))) (*.f64 1/2 (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)))) (*.f64 1/2 (/.f64 1 alpha)))
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 2 beta) (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 4))))) (*.f64 1/2 (/.f64 1 alpha)))
(/.f64 -1/2 alpha)
(-.f64 (*.f64 1/2 (/.f64 (+.f64 2 beta) (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 1 alpha)))
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3))) (*.f64 1/2 (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)))) (*.f64 1/2 (/.f64 1 alpha)))
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 2 beta) (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 4))))) (*.f64 1/2 (/.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))))
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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)))
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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 1/2 (*.f64 (-.f64 beta alpha) (neg.f64 (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2))))))
(+.f64 1/2 (*.f64 (*.f64 (-.f64 beta alpha) (neg.f64 (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2))))) 1))
(+.f64 (-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2))))) 0)
(+.f64 0 (-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2))))))
(+.f64 (*.f64 (-.f64 beta alpha) (neg.f64 (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2))))) 1/2)
(*.f64 (-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2))))) 1)
(*.f64 1 (-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2))))))
(*.f64 (cbrt.f64 (-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))))) (pow.f64 (cbrt.f64 (-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))))) 2) (cbrt.f64 (-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))))))
(*.f64 (sqrt.f64 (-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))))) (sqrt.f64 (-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))))))
(*.f64 (-.f64 1/8 (pow.f64 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))) 3)) (/.f64 1 (+.f64 1/4 (*.f64 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))) (+.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))))))))
(*.f64 (-.f64 1/4 (pow.f64 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))) 2)) (/.f64 1 (+.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))))))
(/.f64 1 (/.f64 (+.f64 1/4 (*.f64 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))) (+.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2))))))) (-.f64 1/8 (pow.f64 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))) 3))))
(/.f64 1 (/.f64 (+.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2))))) (-.f64 1/4 (pow.f64 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))) 2))))
(/.f64 (pow.f64 (-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2))))) 3) (+.f64 (pow.f64 (-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2))))) 2) (-.f64 0 (*.f64 (-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2))))) 0))))
(/.f64 (-.f64 1/8 (pow.f64 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))) 3)) (+.f64 1/4 (*.f64 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))) (+.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2))))))))
(/.f64 (-.f64 1/4 (pow.f64 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))) 2)) (+.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (neg.f64 (-.f64 1/8 (pow.f64 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))) 3))) (neg.f64 (+.f64 1/4 (*.f64 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))) (+.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))))))))
(/.f64 (neg.f64 (-.f64 1/4 (pow.f64 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))) 2))) (neg.f64 (+.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))))))
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(/.f64 (-.f64 1/4 (*.f64 (*.f64 (-.f64 beta alpha) (neg.f64 (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2))))) (*.f64 (-.f64 beta alpha) (neg.f64 (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2))))))) (-.f64 1/2 (*.f64 (-.f64 beta alpha) (neg.f64 (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))))))
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(pow.f64 (-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2))))) 1)
(pow.f64 (cbrt.f64 (-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))))) 3)
(pow.f64 (pow.f64 (-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2))))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))))) 2)
(sqrt.f64 (pow.f64 (-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2))))) 2))
(log.f64 (exp.f64 (-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2))))))))
(cbrt.f64 (pow.f64 (-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2))))) 3))
(expm1.f64 (log1p.f64 (-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))))))
(log1p.f64 (expm1.f64 (-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))))))
(exp.f64 (log.f64 (-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))))))
(exp.f64 (*.f64 (log.f64 (-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))))) 1))
(fma.f64 1 (-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2))))) 0)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))))) 2) (cbrt.f64 (-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))))) 0)
(fma.f64 (sqrt.f64 (-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))))) (sqrt.f64 (-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))))) 0)
(+.f64 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))) 0)
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(+.f64 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))) (*.f64 (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2))) 0))
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(+.f64 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))) (*.f64 0 (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))))
(+.f64 0 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))))
(+.f64 (*.f64 (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2))) beta) (*.f64 (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2))) (neg.f64 alpha)))
(+.f64 (*.f64 beta (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))) (*.f64 (neg.f64 alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))))) 1)
(/.f64 (-.f64 beta alpha) (*.f64 (+.f64 beta (+.f64 alpha 2)) -2))
(/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (-.f64 beta alpha) -1/2)))
(/.f64 (pow.f64 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))) 3) (+.f64 (pow.f64 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))) 2) (-.f64 0 (*.f64 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))) 0))))
(/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (*.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) -2) (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha)))))
(/.f64 (-.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (*.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) -2) (+.f64 beta alpha)))
(/.f64 (*.f64 (-.f64 beta alpha) -1/2) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) 1/2) (*.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))) (neg.f64 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (*.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) -1/2) (*.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))) (+.f64 beta (+.f64 alpha 2))))
(/.f64 (*.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) 1) (*.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))) (*.f64 (+.f64 beta (+.f64 alpha 2)) -2)))
(/.f64 (*.f64 (-.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) 1/2) (*.f64 (+.f64 beta alpha) (neg.f64 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (*.f64 (-.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) -1/2) (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
(/.f64 (*.f64 (-.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) 1) (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta (+.f64 alpha 2)) -2)))
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(fma.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 0)
(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)))) 0)
(fma.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 0)
Outputs
(-.f64 1/2 (*.f64 1/2 (/.f64 alpha (+.f64 2 alpha))))
(+.f64 1/2 (*.f64 -1/2 (/.f64 alpha (+.f64 alpha 2))))
(-.f64 1/2 (/.f64 (*.f64 1/2 alpha) (+.f64 alpha 2)))
(-.f64 (+.f64 1/2 (*.f64 1/2 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))))) (*.f64 1/2 (/.f64 alpha (+.f64 2 alpha))))
(+.f64 (+.f64 1/2 (*.f64 1/2 (*.f64 beta (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2)))))) (*.f64 -1/2 (/.f64 alpha (+.f64 alpha 2))))
(+.f64 1/2 (fma.f64 1/2 (*.f64 beta (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)))) (*.f64 (/.f64 alpha (+.f64 alpha 2)) -1/2)))
(-.f64 (+.f64 1/2 (+.f64 (*.f64 1/2 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))) (*.f64 1/2 (*.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 1/2 (/.f64 alpha (+.f64 2 alpha))))
(+.f64 (+.f64 1/2 (*.f64 1/2 (fma.f64 beta (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.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 -1/2 (/.f64 alpha (+.f64 alpha 2))))
(+.f64 1/2 (fma.f64 1/2 (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 (/.f64 alpha (+.f64 alpha 2)) -1/2)))
(-.f64 (+.f64 1/2 (+.f64 (*.f64 1/2 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))) (+.f64 (*.f64 1/2 (*.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 1/2 (*.f64 (pow.f64 beta 3) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))))))))) (*.f64 1/2 (/.f64 alpha (+.f64 2 alpha))))
(+.f64 (+.f64 1/2 (fma.f64 1/2 (*.f64 beta (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2)))) (*.f64 1/2 (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 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 4)))))))) (*.f64 -1/2 (/.f64 alpha (+.f64 alpha 2))))
(+.f64 1/2 (+.f64 (*.f64 1/2 (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 (/.f64 alpha (+.f64 alpha 2)) -1/2)))
1
(+.f64 1 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)))
(+.f64 1 (*.f64 1/2 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) beta)))
(+.f64 1 (*.f64 1/2 (/.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) beta)))
(+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta))))
(+.f64 1 (fma.f64 -1/2 (*.f64 (+.f64 alpha 2) (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (pow.f64 beta 2))) (*.f64 1/2 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) beta))))
(+.f64 1 (fma.f64 -1/2 (*.f64 (+.f64 alpha 2) (/.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) (pow.f64 beta 2))) (*.f64 1/2 (/.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) beta))))
(+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))) (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)))))
(+.f64 1 (fma.f64 -1/2 (*.f64 (+.f64 alpha 2) (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (pow.f64 beta 2))) (*.f64 1/2 (+.f64 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (pow.f64 beta 3))) (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) beta)))))
(+.f64 1 (fma.f64 -1/2 (*.f64 (+.f64 alpha 2) (/.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) (pow.f64 beta 2))) (*.f64 1/2 (+.f64 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) (pow.f64 beta 3))) (/.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) beta)))))
1
(+.f64 1 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)))
(+.f64 1 (*.f64 1/2 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) beta)))
(+.f64 1 (*.f64 1/2 (/.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) beta)))
(+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta))))
(+.f64 1 (fma.f64 -1/2 (*.f64 (+.f64 alpha 2) (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (pow.f64 beta 2))) (*.f64 1/2 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) beta))))
(+.f64 1 (fma.f64 -1/2 (*.f64 (+.f64 alpha 2) (/.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) (pow.f64 beta 2))) (*.f64 1/2 (/.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) beta))))
(+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))) (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)))))
(+.f64 1 (fma.f64 -1/2 (*.f64 (+.f64 alpha 2) (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (pow.f64 beta 2))) (*.f64 1/2 (+.f64 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (pow.f64 beta 3))) (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) beta)))))
(+.f64 1 (fma.f64 -1/2 (*.f64 (+.f64 alpha 2) (/.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) (pow.f64 beta 2))) (*.f64 1/2 (+.f64 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) (pow.f64 beta 3))) (/.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) beta)))))
(-.f64 1/2 (*.f64 -1/2 (/.f64 beta (+.f64 2 beta))))
(+.f64 1/2 (/.f64 (*.f64 beta -1/2) (-.f64 -2 beta)))
(-.f64 (+.f64 1/2 (*.f64 -1/2 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))) (*.f64 -1/2 (/.f64 beta (+.f64 2 beta))))
(+.f64 1/2 (-.f64 (*.f64 -1/2 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (*.f64 -1/2 (/.f64 beta (+.f64 2 beta)))))
(+.f64 1/2 (fma.f64 (*.f64 -1/2 alpha) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (/.f64 (*.f64 beta -1/2) (-.f64 -2 beta))))
(-.f64 (+.f64 1/2 (+.f64 (*.f64 -1/2 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (+.f64 2 beta))))) (*.f64 -1/2 (/.f64 beta (+.f64 2 beta))))
(+.f64 (+.f64 1/2 (fma.f64 -1/2 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (*.f64 1/2 (*.f64 (pow.f64 alpha 2) (/.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (+.f64 2 beta)))))) (*.f64 1/2 (/.f64 beta (+.f64 2 beta))))
(+.f64 1/2 (+.f64 (fma.f64 -1/2 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (*.f64 1/2 (*.f64 (pow.f64 alpha 2) (/.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (+.f64 2 beta))))) (/.f64 (*.f64 beta -1/2) (-.f64 -2 beta))))
(-.f64 (+.f64 1/2 (+.f64 (*.f64 -1/2 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (+.f64 2 beta)))))) (*.f64 -1/2 (/.f64 beta (+.f64 2 beta))))
(+.f64 1/2 (-.f64 (fma.f64 -1/2 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 -1/2 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4)))) (*.f64 1/2 (*.f64 (pow.f64 alpha 2) (/.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (+.f64 2 beta)))))) (*.f64 -1/2 (/.f64 beta (+.f64 2 beta)))))
(+.f64 1/2 (+.f64 (fma.f64 -1/2 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 -1/2 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4)))) (*.f64 1/2 (*.f64 (pow.f64 alpha 2) (/.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (+.f64 2 beta)))))) (/.f64 (*.f64 beta -1/2) (-.f64 -2 beta))))
(*.f64 1/2 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 2 beta))) alpha))
(*.f64 1/2 (/.f64 (-.f64 beta (neg.f64 (+.f64 2 beta))) alpha))
(*.f64 1/2 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 2 beta) (-.f64 beta (*.f64 -1 (+.f64 2 beta)))) (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 2 beta))) alpha)))
(fma.f64 -1/2 (*.f64 (+.f64 2 beta) (/.f64 (-.f64 beta (neg.f64 (+.f64 2 beta))) (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 (-.f64 beta (neg.f64 (+.f64 2 beta))) alpha)))
(fma.f64 -1/2 (/.f64 (*.f64 (+.f64 2 beta) (+.f64 (+.f64 2 beta) beta)) (pow.f64 alpha 2)) (*.f64 1/2 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 2 beta) (-.f64 beta (*.f64 -1 (+.f64 2 beta)))) (pow.f64 alpha 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (+.f64 2 beta) 2) (-.f64 beta (*.f64 -1 (+.f64 2 beta)))) (pow.f64 alpha 3))) (*.f64 1/2 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 2 beta))) alpha))))
(fma.f64 -1/2 (*.f64 (+.f64 2 beta) (/.f64 (-.f64 beta (neg.f64 (+.f64 2 beta))) (pow.f64 alpha 2))) (*.f64 1/2 (+.f64 (*.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 (-.f64 beta (neg.f64 (+.f64 2 beta))) (pow.f64 alpha 3))) (/.f64 (-.f64 beta (neg.f64 (+.f64 2 beta))) alpha))))
(fma.f64 -1/2 (/.f64 (*.f64 (+.f64 2 beta) (+.f64 (+.f64 2 beta) beta)) (pow.f64 alpha 2)) (*.f64 1/2 (+.f64 (*.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 (+.f64 beta (+.f64 2 beta)) (pow.f64 alpha 3))) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 2 beta) (-.f64 beta (*.f64 -1 (+.f64 2 beta)))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (+.f64 2 beta) 3) (-.f64 beta (*.f64 -1 (+.f64 2 beta)))) (pow.f64 alpha 4))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (+.f64 2 beta) 2) (-.f64 beta (*.f64 -1 (+.f64 2 beta)))) (pow.f64 alpha 3))) (*.f64 1/2 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 2 beta))) alpha)))))
(fma.f64 -1/2 (*.f64 (+.f64 2 beta) (/.f64 (-.f64 beta (neg.f64 (+.f64 2 beta))) (pow.f64 alpha 2))) (fma.f64 -1/2 (*.f64 (pow.f64 (+.f64 2 beta) 3) (/.f64 (-.f64 beta (neg.f64 (+.f64 2 beta))) (pow.f64 alpha 4))) (*.f64 1/2 (+.f64 (*.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 (-.f64 beta (neg.f64 (+.f64 2 beta))) (pow.f64 alpha 3))) (/.f64 (-.f64 beta (neg.f64 (+.f64 2 beta))) alpha)))))
(fma.f64 -1/2 (/.f64 (*.f64 (+.f64 2 beta) (+.f64 (+.f64 2 beta) beta)) (pow.f64 alpha 2)) (fma.f64 -1/2 (*.f64 (pow.f64 (+.f64 2 beta) 3) (/.f64 (+.f64 beta (+.f64 2 beta)) (pow.f64 alpha 4))) (*.f64 1/2 (+.f64 (*.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 (+.f64 beta (+.f64 2 beta)) (pow.f64 alpha 3))) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)))))
(*.f64 -1/2 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha))
(*.f64 -1/2 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha))
(*.f64 -1/2 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha))
(+.f64 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha)) (*.f64 1/2 (/.f64 (*.f64 (+.f64 2 beta) (-.f64 (*.f64 -1 beta) (+.f64 2 beta))) (pow.f64 alpha 2))))
(fma.f64 -1/2 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (*.f64 1/2 (*.f64 (+.f64 2 beta) (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) (pow.f64 alpha 2)))))
(fma.f64 -1/2 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (*.f64 1/2 (*.f64 (+.f64 2 beta) (/.f64 (-.f64 (-.f64 -2 beta) beta) (pow.f64 alpha 2)))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (+.f64 2 beta) 2) (-.f64 (*.f64 -1 beta) (+.f64 2 beta))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha)) (*.f64 1/2 (/.f64 (*.f64 (+.f64 2 beta) (-.f64 (*.f64 -1 beta) (+.f64 2 beta))) (pow.f64 alpha 2)))))
(fma.f64 -1/2 (*.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) (pow.f64 alpha 3))) (fma.f64 -1/2 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (*.f64 1/2 (*.f64 (+.f64 2 beta) (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) (pow.f64 alpha 2))))))
(fma.f64 -1/2 (*.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 (-.f64 (-.f64 -2 beta) beta) (pow.f64 alpha 3))) (fma.f64 -1/2 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (*.f64 1/2 (*.f64 (+.f64 2 beta) (/.f64 (-.f64 (-.f64 -2 beta) beta) (pow.f64 alpha 2))))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (+.f64 2 beta) 2) (-.f64 (*.f64 -1 beta) (+.f64 2 beta))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 2 beta) (-.f64 (*.f64 -1 beta) (+.f64 2 beta))) (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (+.f64 2 beta) 3) (-.f64 (*.f64 -1 beta) (+.f64 2 beta))) (pow.f64 alpha 4))))))
(fma.f64 -1/2 (*.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) (pow.f64 alpha 3))) (fma.f64 -1/2 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (*.f64 1/2 (+.f64 (*.f64 (+.f64 2 beta) (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) (pow.f64 alpha 2))) (*.f64 (pow.f64 (+.f64 2 beta) 3) (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) (pow.f64 alpha 4)))))))
(fma.f64 -1/2 (*.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 (-.f64 (-.f64 -2 beta) beta) (pow.f64 alpha 3))) (fma.f64 -1/2 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (*.f64 1/2 (+.f64 (*.f64 (+.f64 2 beta) (/.f64 (-.f64 (-.f64 -2 beta) beta) (pow.f64 alpha 2))) (*.f64 (pow.f64 (+.f64 2 beta) 3) (/.f64 (-.f64 (-.f64 -2 beta) beta) (pow.f64 alpha 4)))))))
(*.f64 1/2 (/.f64 alpha (+.f64 2 alpha)))
(*.f64 1/2 (/.f64 alpha (+.f64 alpha 2)))
(/.f64 (*.f64 1/2 alpha) (+.f64 alpha 2))
(+.f64 (*.f64 -1/2 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))) (*.f64 1/2 (/.f64 alpha (+.f64 2 alpha))))
(fma.f64 -1/2 (*.f64 beta (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2)))) (*.f64 1/2 (/.f64 alpha (+.f64 alpha 2))))
(fma.f64 -1/2 (*.f64 beta (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)))) (/.f64 (*.f64 1/2 alpha) (+.f64 alpha 2)))
(+.f64 (*.f64 -1/2 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))) (+.f64 (*.f64 -1/2 (*.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 1/2 (/.f64 alpha (+.f64 2 alpha)))))
(fma.f64 -1/2 (*.f64 beta (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2)))) (fma.f64 -1/2 (*.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 1/2 (/.f64 alpha (+.f64 alpha 2)))))
(+.f64 (*.f64 -1/2 (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 (*.f64 1/2 alpha) (+.f64 alpha 2)))
(+.f64 (*.f64 -1/2 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))) (+.f64 (*.f64 -1/2 (*.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 -1/2 (*.f64 (pow.f64 beta 3) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)))))) (*.f64 1/2 (/.f64 alpha (+.f64 2 alpha))))))
(fma.f64 -1/2 (*.f64 beta (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2)))) (fma.f64 -1/2 (*.f64 (pow.f64 beta 2) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)))) (fma.f64 -1/2 (*.f64 (pow.f64 beta 3) (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 4)))) (*.f64 1/2 (/.f64 alpha (+.f64 alpha 2))))))
(+.f64 (*.f64 -1/2 (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)))))) (fma.f64 -1/2 (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)))) (/.f64 (*.f64 1/2 alpha) (+.f64 alpha 2))))
-1/2
(-.f64 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)) 1/2)
(fma.f64 -1/2 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) beta) -1/2)
(fma.f64 (/.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) beta) -1/2 -1/2)
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)) (*.f64 1/2 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2)))) 1/2)
(+.f64 (fma.f64 -1/2 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) beta) (*.f64 1/2 (*.f64 (+.f64 alpha 2) (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (pow.f64 beta 2))))) -1/2)
(+.f64 (/.f64 (*.f64 -1/2 (-.f64 (fma.f64 alpha -1 -2) alpha)) beta) (fma.f64 1/2 (*.f64 (+.f64 alpha 2) (/.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) (pow.f64 beta 2))) -1/2))
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)) (*.f64 1/2 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))))) 1/2)
(+.f64 (fma.f64 -1/2 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (pow.f64 beta 3))) (fma.f64 -1/2 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) beta) (*.f64 1/2 (*.f64 (+.f64 alpha 2) (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (pow.f64 beta 2)))))) -1/2)
(+.f64 (fma.f64 -1/2 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) (pow.f64 beta 3))) (fma.f64 -1/2 (/.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) beta) (*.f64 1/2 (*.f64 (+.f64 alpha 2) (/.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) (pow.f64 beta 2)))))) -1/2)
-1/2
(-.f64 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)) 1/2)
(fma.f64 -1/2 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) beta) -1/2)
(fma.f64 (/.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) beta) -1/2 -1/2)
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)) (*.f64 1/2 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2)))) 1/2)
(+.f64 (fma.f64 -1/2 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) beta) (*.f64 1/2 (*.f64 (+.f64 alpha 2) (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (pow.f64 beta 2))))) -1/2)
(+.f64 (/.f64 (*.f64 -1/2 (-.f64 (fma.f64 alpha -1 -2) alpha)) beta) (fma.f64 1/2 (*.f64 (+.f64 alpha 2) (/.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) (pow.f64 beta 2))) -1/2))
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)) (*.f64 1/2 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))))) 1/2)
(+.f64 (fma.f64 -1/2 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (pow.f64 beta 3))) (fma.f64 -1/2 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) beta) (*.f64 1/2 (*.f64 (+.f64 alpha 2) (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (pow.f64 beta 2)))))) -1/2)
(+.f64 (fma.f64 -1/2 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) (pow.f64 beta 3))) (fma.f64 -1/2 (/.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) beta) (*.f64 1/2 (*.f64 (+.f64 alpha 2) (/.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) (pow.f64 beta 2)))))) -1/2)
(*.f64 -1/2 (/.f64 beta (+.f64 2 beta)))
(/.f64 (*.f64 beta -1/2) (+.f64 2 beta))
(+.f64 (*.f64 -1/2 (/.f64 beta (+.f64 2 beta))) (*.f64 1/2 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))))
(fma.f64 -1/2 (/.f64 beta (+.f64 2 beta)) (*.f64 (*.f64 1/2 alpha) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))
(+.f64 (*.f64 -1/2 (/.f64 beta (+.f64 2 beta))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (+.f64 2 beta))) (*.f64 1/2 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))))
(fma.f64 -1/2 (/.f64 beta (+.f64 2 beta)) (fma.f64 -1/2 (*.f64 (pow.f64 alpha 2) (/.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (+.f64 2 beta))) (*.f64 (*.f64 1/2 alpha) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))))
(+.f64 (*.f64 -1/2 (/.f64 beta (+.f64 2 beta))) (+.f64 (*.f64 -1/2 (/.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 1/2 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (*.f64 1/2 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))))))
(fma.f64 -1/2 (/.f64 beta (+.f64 2 beta)) (fma.f64 -1/2 (*.f64 (pow.f64 alpha 2) (/.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (+.f64 2 beta))) (*.f64 1/2 (+.f64 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))))))
1/2
(+.f64 1/2 (*.f64 -1/2 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 2 beta))) alpha)))
(+.f64 1/2 (*.f64 -1/2 (/.f64 (-.f64 beta (neg.f64 (+.f64 2 beta))) alpha)))
(+.f64 1/2 (*.f64 -1/2 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)))
(+.f64 1/2 (+.f64 (*.f64 -1/2 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 2 beta))) alpha)) (*.f64 1/2 (/.f64 (*.f64 (+.f64 2 beta) (-.f64 beta (*.f64 -1 (+.f64 2 beta)))) (pow.f64 alpha 2)))))
(+.f64 1/2 (fma.f64 -1/2 (/.f64 (-.f64 beta (neg.f64 (+.f64 2 beta))) alpha) (*.f64 1/2 (*.f64 (+.f64 2 beta) (/.f64 (-.f64 beta (neg.f64 (+.f64 2 beta))) (pow.f64 alpha 2))))))
(+.f64 1/2 (fma.f64 -1/2 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) (/.f64 (*.f64 1/2 (*.f64 (+.f64 2 beta) (+.f64 (+.f64 2 beta) beta))) (pow.f64 alpha 2))))
(+.f64 1/2 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (+.f64 2 beta) 2) (-.f64 beta (*.f64 -1 (+.f64 2 beta)))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 2 beta))) alpha)) (*.f64 1/2 (/.f64 (*.f64 (+.f64 2 beta) (-.f64 beta (*.f64 -1 (+.f64 2 beta)))) (pow.f64 alpha 2))))))
(+.f64 1/2 (fma.f64 -1/2 (*.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 (-.f64 beta (neg.f64 (+.f64 2 beta))) (pow.f64 alpha 3))) (fma.f64 -1/2 (/.f64 (-.f64 beta (neg.f64 (+.f64 2 beta))) alpha) (*.f64 1/2 (*.f64 (+.f64 2 beta) (/.f64 (-.f64 beta (neg.f64 (+.f64 2 beta))) (pow.f64 alpha 2)))))))
(+.f64 1/2 (fma.f64 -1/2 (*.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 (+.f64 beta (+.f64 2 beta)) (pow.f64 alpha 3))) (fma.f64 -1/2 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) (/.f64 (*.f64 1/2 (*.f64 (+.f64 2 beta) (+.f64 (+.f64 2 beta) beta))) (pow.f64 alpha 2)))))
1/2
(+.f64 1/2 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha)))
(+.f64 1/2 (*.f64 1/2 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha)))
(+.f64 1/2 (*.f64 1/2 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)))
(+.f64 1/2 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 2 beta) (-.f64 (*.f64 -1 beta) (+.f64 2 beta))) (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha))))
(+.f64 1/2 (fma.f64 -1/2 (*.f64 (+.f64 2 beta) (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha))))
(+.f64 1/2 (fma.f64 -1/2 (*.f64 (+.f64 2 beta) (/.f64 (-.f64 (-.f64 -2 beta) beta) (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha))))
(+.f64 1/2 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 2 beta) (-.f64 (*.f64 -1 beta) (+.f64 2 beta))) (pow.f64 alpha 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (+.f64 2 beta) 2) (-.f64 (*.f64 -1 beta) (+.f64 2 beta))) (pow.f64 alpha 3))) (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha)))))
(+.f64 1/2 (fma.f64 -1/2 (*.f64 (+.f64 2 beta) (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) (pow.f64 alpha 2))) (*.f64 1/2 (+.f64 (*.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) (pow.f64 alpha 3))) (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha)))))
(+.f64 1/2 (fma.f64 -1/2 (*.f64 (+.f64 2 beta) (/.f64 (-.f64 (-.f64 -2 beta) beta) (pow.f64 alpha 2))) (*.f64 1/2 (+.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (*.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 (-.f64 (-.f64 -2 beta) beta) (pow.f64 alpha 3)))))))
(/.f64 -1/2 (+.f64 2 alpha))
(/.f64 -1/2 (+.f64 alpha 2))
(-.f64 (*.f64 1/2 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (*.f64 1/2 (/.f64 1 (+.f64 2 alpha))))
(-.f64 (*.f64 1/2 (/.f64 beta (pow.f64 (+.f64 alpha 2) 2))) (/.f64 1/2 (+.f64 alpha 2)))
(fma.f64 1/2 (/.f64 beta (pow.f64 (+.f64 alpha 2) 2)) (/.f64 -1/2 (+.f64 alpha 2)))
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 3))) (*.f64 1/2 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 1/2 (/.f64 1 (+.f64 2 alpha))))
(-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 3)) (*.f64 1/2 (/.f64 beta (pow.f64 (+.f64 alpha 2) 2)))) (/.f64 1/2 (+.f64 alpha 2)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 1/2 (/.f64 beta (pow.f64 (+.f64 alpha 2) 2)) (/.f64 -1/2 (+.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (*.f64 1/2 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (*.f64 1/2 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 4))))) (*.f64 1/2 (/.f64 1 (+.f64 2 alpha))))
(-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 3)) (*.f64 1/2 (+.f64 (/.f64 beta (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 4))))) (/.f64 1/2 (+.f64 alpha 2)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 1/2 (+.f64 (/.f64 beta (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 4))) (/.f64 -1/2 (+.f64 alpha 2))))
(/.f64 -1/2 beta)
(-.f64 (*.f64 1/2 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))) (*.f64 1/2 (/.f64 1 beta)))
(fma.f64 1/2 (/.f64 (+.f64 alpha 2) (pow.f64 beta 2)) (neg.f64 (/.f64 1/2 beta)))
(fma.f64 1/2 (/.f64 (+.f64 alpha 2) (pow.f64 beta 2)) (/.f64 -1/2 beta))
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3))) (*.f64 1/2 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2)))) (*.f64 1/2 (/.f64 1 beta)))
(-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3)) (*.f64 1/2 (/.f64 (+.f64 alpha 2) (pow.f64 beta 2)))) (/.f64 1/2 beta))
(+.f64 (/.f64 (*.f64 -1/2 (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 beta 3)) (fma.f64 1/2 (/.f64 (+.f64 alpha 2) (pow.f64 beta 2)) (/.f64 -1/2 beta)))
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 4))))) (*.f64 1/2 (/.f64 1 beta)))
(-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3)) (*.f64 1/2 (+.f64 (/.f64 (+.f64 alpha 2) (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 4))))) (/.f64 1/2 beta))
(+.f64 (/.f64 (*.f64 -1/2 (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 beta 3)) (fma.f64 1/2 (+.f64 (/.f64 (+.f64 alpha 2) (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 4))) (/.f64 -1/2 beta)))
(/.f64 -1/2 beta)
(-.f64 (*.f64 1/2 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))) (*.f64 1/2 (/.f64 1 beta)))
(fma.f64 1/2 (/.f64 (+.f64 alpha 2) (pow.f64 beta 2)) (neg.f64 (/.f64 1/2 beta)))
(fma.f64 1/2 (/.f64 (+.f64 alpha 2) (pow.f64 beta 2)) (/.f64 -1/2 beta))
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3))) (*.f64 1/2 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2)))) (*.f64 1/2 (/.f64 1 beta)))
(-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3)) (*.f64 1/2 (/.f64 (+.f64 alpha 2) (pow.f64 beta 2)))) (/.f64 1/2 beta))
(+.f64 (/.f64 (*.f64 -1/2 (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 beta 3)) (fma.f64 1/2 (/.f64 (+.f64 alpha 2) (pow.f64 beta 2)) (/.f64 -1/2 beta)))
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 4))))) (*.f64 1/2 (/.f64 1 beta)))
(-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3)) (*.f64 1/2 (+.f64 (/.f64 (+.f64 alpha 2) (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 4))))) (/.f64 1/2 beta))
(+.f64 (/.f64 (*.f64 -1/2 (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 beta 3)) (fma.f64 1/2 (+.f64 (/.f64 (+.f64 alpha 2) (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 4))) (/.f64 -1/2 beta)))
(/.f64 -1/2 (+.f64 2 beta))
(/.f64 1/2 (-.f64 -2 beta))
(-.f64 (*.f64 1/2 (/.f64 alpha (pow.f64 (+.f64 2 beta) 2))) (*.f64 1/2 (/.f64 1 (+.f64 2 beta))))
(-.f64 (*.f64 1/2 (/.f64 alpha (pow.f64 (+.f64 2 beta) 2))) (/.f64 1/2 (+.f64 2 beta)))
(fma.f64 1/2 (/.f64 alpha (pow.f64 (+.f64 2 beta) 2)) (/.f64 1/2 (-.f64 -2 beta)))
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 beta) 3))) (*.f64 1/2 (/.f64 alpha (pow.f64 (+.f64 2 beta) 2)))) (*.f64 1/2 (/.f64 1 (+.f64 2 beta))))
(-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 beta) 3)) (*.f64 1/2 (/.f64 alpha (pow.f64 (+.f64 2 beta) 2)))) (/.f64 1/2 (+.f64 2 beta)))
(+.f64 (fma.f64 -1/2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 beta) 3)) (/.f64 (*.f64 1/2 alpha) (pow.f64 (+.f64 2 beta) 2))) (/.f64 1/2 (-.f64 -2 beta)))
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 beta) 3))) (+.f64 (*.f64 1/2 (/.f64 alpha (pow.f64 (+.f64 2 beta) 2))) (*.f64 1/2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 4))))) (*.f64 1/2 (/.f64 1 (+.f64 2 beta))))
(-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 beta) 3)) (*.f64 1/2 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 beta) 2)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 4))))) (/.f64 1/2 (+.f64 2 beta)))
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(/.f64 -1/2 alpha)
(-.f64 (*.f64 1/2 (/.f64 (+.f64 2 beta) (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 1 alpha)))
(fma.f64 1/2 (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)) (neg.f64 (/.f64 1/2 alpha)))
(fma.f64 1/2 (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)) (/.f64 -1/2 alpha))
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(/.f64 -1/2 alpha)
(-.f64 (*.f64 1/2 (/.f64 (+.f64 2 beta) (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 1 alpha)))
(fma.f64 1/2 (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)) (neg.f64 (/.f64 1/2 alpha)))
(fma.f64 1/2 (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)) (/.f64 -1/2 alpha))
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(-.f64 1 (/.f64 alpha (+.f64 2 alpha)))
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(-.f64 (+.f64 1 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 alpha (+.f64 2 alpha)))
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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))
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2
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(+.f64 2 (-.f64 (/.f64 (neg.f64 alpha) beta) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))))
(-.f64 (-.f64 2 (/.f64 alpha beta)) (+.f64 (/.f64 alpha beta) (/.f64 2 beta)))
(-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
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(-.f64 (-.f64 (-.f64 2 (/.f64 alpha beta)) (*.f64 (+.f64 alpha 2) (/.f64 (-.f64 (fma.f64 alpha -1 -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)))
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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))
(neg.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha))
(/.f64 (-.f64 (-.f64 -2 beta) beta) (neg.f64 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 -2 beta) (/.f64 (+.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)))))
(fma.f64 -1 (/.f64 (fma.f64 beta (+.f64 2 beta) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2)) (fma.f64 -1 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (*.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3))))))
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(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3)
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 1/3)
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -1)
(/.f64 1 (/.f64 (+.f64 (+.f64 alpha 2) beta) (-.f64 beta alpha)))
(neg.f64 (/.f64 (-.f64 beta alpha) (neg.f64 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(neg.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2))
(fabs.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))
(log.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(exp.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 0)
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(fma.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 0)
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(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)))) 0)
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(fma.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 0)
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))

eval378.0ms (3.4%)

Compiler

Compiled 15568 to 11090 computations (28.8% saved)

prune111.0ms (1%)

Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New53911550
Fresh000
Picked112
Done000
Total54012552
Accuracy
100.0%
Counts
552 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
27.7%
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
77.4%
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
76.4%
(/.f64 (-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 2)
26.1%
(/.f64 (-.f64 (*.f64 (-.f64 -2 beta) (/.f64 (+.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 2)
33.5%
(/.f64 (-.f64 2 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta)) 2)
48.0%
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
76.3%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
74.6%
(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
36.6%
(-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 beta)))
3.7%
(-.f64 1/2 1/2)
25.1%
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (+.f64 2 beta) 2) (-.f64 (*.f64 -1 beta) (+.f64 2 beta))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha)) (*.f64 1/2 (/.f64 (*.f64 (+.f64 2 beta) (-.f64 (*.f64 -1 beta) (+.f64 2 beta))) (pow.f64 alpha 2)))))
41.1%
1
Compiler

Compiled 381 to 295 computations (22.6% saved)

localize256.0ms (2.3%)

Localize:

Found 10 expressions with local error:

NewAccuracyProgram
100.0%
(/.f64 (+.f64 2 (*.f64 alpha 2)) beta)
100.0%
(-.f64 2 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta))
100.0%
(/.f64 alpha (+.f64 alpha 2))
68.9%
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
100.0%
(-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 beta)))
99.7%
(*.f64 (-.f64 beta alpha) (/.f64 -1/2 beta))
100.0%
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
100.0%
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))
100.0%
(/.f64 beta (+.f64 beta (+.f64 alpha 2)))
76.3%
(-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)
Compiler

Compiled 166 to 109 computations (34.3% saved)

series50.0ms (0.4%)

Counts
10 → 216
Calls

54 calls:

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

rewrite141.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
254×add0
246×log1p-expm1-u
246×expm1-log1p-u
240×add-cube-cbrt
238×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027319
1523287
Stop Event
node limit
Counts
10 → 379
Calls
Call 1
Inputs
(-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)
(/.f64 beta (+.f64 beta (+.f64 alpha 2)))
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(*.f64 (-.f64 beta alpha) (/.f64 -1/2 beta))
(-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 beta)))
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(/.f64 alpha (+.f64 alpha 2))
(-.f64 2 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta))
(/.f64 (+.f64 2 (*.f64 alpha 2)) beta)
Outputs
(+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)
(+.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1) 0)
(+.f64 (*.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1) 1) 0)
(*.f64 1 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)) 2) (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)) (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)))
(*.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) (+.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))))
(*.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) -1) (/.f64 1 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(*.f64 (+.f64 (sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 1) (-.f64 (sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) (+.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1) (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) -1)))
(/.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1) 3) (+.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1) 2) (-.f64 0 (*.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1) 0))))
(/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3) -1) (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) (+.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3) -1) (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (*.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1))))
(/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) -1) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))
(/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) -1) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) (+.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) -1)) (neg.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1) 2) 0) (-.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1) 0))
(pow.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)) 2)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1) 3))
(expm1.f64 (log.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)))
(exp.f64 (log.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)) 1))
(fma.f64 alpha (/.f64 1 (+.f64 beta (+.f64 alpha 2))) -1)
(fma.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)
(fma.f64 1 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1) 0)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)) 2) (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)) 0)
(fma.f64 (sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) -1)
(fma.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)) (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)) 0)
(+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 0)
(+.f64 (*.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1) 0)
(-.f64 (exp.f64 (log1p.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) 1)
(*.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(*.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (neg.f64 beta) (/.f64 1 (neg.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 beta (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 beta (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(*.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)))))
(*.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 beta (+.f64 alpha 2))))
(*.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)))))
(pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1)
(pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 3)
(pow.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2)
(pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) -1)
(neg.f64 (/.f64 beta (neg.f64 (+.f64 beta (+.f64 alpha 2)))))
(neg.f64 (/.f64 (neg.f64 beta) (+.f64 beta (+.f64 alpha 2))))
(sqrt.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2))
(log.f64 (exp.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))))
(cbrt.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3))
(expm1.f64 (log1p.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(log1p.f64 (expm1.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (log.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (*.f64 (log.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 1))
(fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 0)
(fma.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 0)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 0)
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 0)
(+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 1))
(+.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 0)
(+.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1))) (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)))
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)
(+.f64 (fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (*.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1) 1))) (fma.f64 (+.f64 (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 1) 1 (*.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1) 1)))
(+.f64 (fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)) 2) (*.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)) 2))))
(+.f64 (fma.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (neg.f64 (*.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1) 1))) (fma.f64 (+.f64 (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 1) 1 (*.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1) 1)))
(+.f64 (fma.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (neg.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)) 2) (*.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (*.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1) 1))) (fma.f64 (+.f64 (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 1) 1 (*.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)) 2) (*.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)) 2))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (*.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1) 1))) (fma.f64 (+.f64 (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 1) 1 (*.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1) 1)))
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(pow.f64 (/.f64 beta (fma.f64 alpha 2 2)) -1)
(neg.f64 (/.f64 (fma.f64 alpha 2 2) (neg.f64 beta)))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 alpha 2 2) beta)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 alpha 2 2) beta))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 3))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 alpha 2 2) beta)))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 alpha 2 2) beta)))
(exp.f64 (log.f64 (/.f64 (fma.f64 alpha 2 2) beta)))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 alpha 2 2) beta)) 1))
(fma.f64 1 (/.f64 (fma.f64 alpha 2 2) beta) 0)
(fma.f64 (fma.f64 alpha 2 2) (/.f64 1 beta) 0)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 alpha 2 2) beta)) 2) (cbrt.f64 (/.f64 (fma.f64 alpha 2 2) beta)) 0)
(fma.f64 (sqrt.f64 (/.f64 (fma.f64 alpha 2 2) beta)) (sqrt.f64 (/.f64 (fma.f64 alpha 2 2) beta)) 0)

simplify275.0ms (2.4%)

Algorithm
egg-herbie
Rules
1476×add0
820×times-frac
432×sub-neg
408×cancel-sign-sub-inv
384×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0114831528
1437630060
Stop Event
node limit
Counts
595 → 755
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 1 (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 1 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 1 (+.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 1 (+.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))))))) (/.f64 alpha (+.f64 2 alpha)))
2
(+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)))
(-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (*.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))))
2
(+.f64 2 (*.f64 -1 (/.f64 (-.f64 (+.f64 2 alpha) (*.f64 -1 alpha)) beta)))
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 2 alpha) (*.f64 -1 alpha)) beta)) (+.f64 (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 2 alpha) (*.f64 -1 alpha)) beta)) (+.f64 (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))))
(+.f64 1 (/.f64 beta (+.f64 2 beta)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (+.f64 (*.f64 (pow.f64 alpha 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 3))))) (/.f64 beta (+.f64 2 beta)))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))) (+.f64 (*.f64 (pow.f64 alpha 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 3))))) (/.f64 beta (+.f64 2 beta))))))
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))) (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 2 (/.f64 1 alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3))) (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 2 (/.f64 1 alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3))) (+.f64 (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2)) (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 3)) (pow.f64 alpha 4)))))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 3)) (pow.f64 (+.f64 2 beta) 4)) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3))))))
(/.f64 alpha (+.f64 2 beta))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 beta) 2))) (/.f64 alpha (+.f64 2 beta)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 beta) 2))) (+.f64 (/.f64 alpha (+.f64 2 beta)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 beta) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 2 beta) 4))) (+.f64 (/.f64 alpha (+.f64 2 beta)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 beta) alpha)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 beta) alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 beta) alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3))) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 beta) alpha)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 beta) alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 beta) alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3))) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)))))
(/.f64 alpha (+.f64 2 alpha))
(+.f64 (*.f64 -1 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 alpha (+.f64 2 alpha)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (/.f64 alpha (+.f64 2 alpha)) (/.f64 (*.f64 alpha (pow.f64 beta 2)) (pow.f64 (+.f64 2 alpha) 3))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 alpha (pow.f64 beta 3)) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 (/.f64 alpha (+.f64 2 alpha)) (/.f64 (*.f64 alpha (pow.f64 beta 2)) (pow.f64 (+.f64 2 alpha) 3)))))
(/.f64 alpha beta)
(+.f64 (*.f64 -1 (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2))) (/.f64 alpha beta))
(+.f64 (*.f64 -1 (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (/.f64 alpha beta) (/.f64 (*.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 beta 4))) (+.f64 (/.f64 alpha beta) (/.f64 (*.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3)))))
(/.f64 alpha beta)
(+.f64 (*.f64 -1 (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2))) (/.f64 alpha beta))
(+.f64 (*.f64 -1 (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (/.f64 alpha beta) (/.f64 (*.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 beta 4))) (+.f64 (/.f64 alpha beta) (/.f64 (*.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3)))))
(*.f64 1/2 (/.f64 alpha beta))
(-.f64 (*.f64 1/2 (/.f64 alpha beta)) 1/2)
(-.f64 (*.f64 1/2 (/.f64 alpha beta)) 1/2)
(-.f64 (*.f64 1/2 (/.f64 alpha beta)) 1/2)
-1/2
(-.f64 (*.f64 1/2 (/.f64 alpha beta)) 1/2)
(-.f64 (*.f64 1/2 (/.f64 alpha beta)) 1/2)
(-.f64 (*.f64 1/2 (/.f64 alpha beta)) 1/2)
-1/2
(-.f64 (*.f64 1/2 (/.f64 alpha beta)) 1/2)
(-.f64 (*.f64 1/2 (/.f64 alpha beta)) 1/2)
(-.f64 (*.f64 1/2 (/.f64 alpha beta)) 1/2)
-1/2
(-.f64 (*.f64 1/2 (/.f64 alpha beta)) 1/2)
(-.f64 (*.f64 1/2 (/.f64 alpha beta)) 1/2)
(-.f64 (*.f64 1/2 (/.f64 alpha beta)) 1/2)
(*.f64 1/2 (/.f64 alpha beta))
(-.f64 (*.f64 1/2 (/.f64 alpha beta)) 1/2)
(-.f64 (*.f64 1/2 (/.f64 alpha beta)) 1/2)
(-.f64 (*.f64 1/2 (/.f64 alpha beta)) 1/2)
(*.f64 1/2 (/.f64 alpha beta))
(-.f64 (*.f64 1/2 (/.f64 alpha beta)) 1/2)
(-.f64 (*.f64 1/2 (/.f64 alpha beta)) 1/2)
(-.f64 (*.f64 1/2 (/.f64 alpha beta)) 1/2)
(*.f64 -1/2 (/.f64 alpha beta))
(+.f64 1 (*.f64 -1/2 (/.f64 alpha beta)))
(+.f64 1 (*.f64 -1/2 (/.f64 alpha beta)))
(+.f64 1 (*.f64 -1/2 (/.f64 alpha beta)))
1
(+.f64 1 (*.f64 -1/2 (/.f64 alpha beta)))
(+.f64 1 (*.f64 -1/2 (/.f64 alpha beta)))
(+.f64 1 (*.f64 -1/2 (/.f64 alpha beta)))
1
(+.f64 1 (*.f64 -1/2 (/.f64 alpha beta)))
(+.f64 1 (*.f64 -1/2 (/.f64 alpha beta)))
(+.f64 1 (*.f64 -1/2 (/.f64 alpha beta)))
1
(+.f64 1 (*.f64 -1/2 (/.f64 alpha beta)))
(+.f64 1 (*.f64 -1/2 (/.f64 alpha beta)))
(+.f64 1 (*.f64 -1/2 (/.f64 alpha beta)))
(*.f64 -1/2 (/.f64 alpha beta))
(+.f64 1 (*.f64 -1/2 (/.f64 alpha beta)))
(+.f64 1 (*.f64 -1/2 (/.f64 alpha beta)))
(+.f64 1 (*.f64 -1/2 (/.f64 alpha beta)))
(*.f64 -1/2 (/.f64 alpha beta))
(+.f64 1 (*.f64 -1/2 (/.f64 alpha beta)))
(+.f64 1 (*.f64 -1/2 (/.f64 alpha beta)))
(+.f64 1 (*.f64 -1/2 (/.f64 alpha beta)))
1
(+.f64 1 (*.f64 -1/2 alpha))
(+.f64 1 (+.f64 (*.f64 -1/2 alpha) (*.f64 1/4 (pow.f64 alpha 2))))
(+.f64 1 (+.f64 (*.f64 -1/2 alpha) (+.f64 (*.f64 -1/8 (pow.f64 alpha 3)) (*.f64 1/4 (pow.f64 alpha 2)))))
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1
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(/.f64 (pow.f64 (-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 beta))) 3) (+.f64 (pow.f64 (-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 beta))) 2) (-.f64 0 (*.f64 (-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 beta))) 0))))
(/.f64 (-.f64 1/8 (pow.f64 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 beta)) 3)) (+.f64 1/4 (+.f64 (pow.f64 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 beta)) 2) (*.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 beta))))))
(/.f64 (-.f64 1/4 (pow.f64 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 beta)) 2)) (+.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 beta))))
(/.f64 (neg.f64 (-.f64 1/8 (pow.f64 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 beta)) 3))) (neg.f64 (+.f64 1/4 (+.f64 (pow.f64 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 beta)) 2) (*.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 beta)))))))
(/.f64 (neg.f64 (-.f64 1/4 (pow.f64 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 beta)) 2))) (neg.f64 (+.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 beta)))))
(/.f64 (+.f64 1/8 (pow.f64 (*.f64 (-.f64 beta alpha) (neg.f64 (/.f64 -1/2 beta))) 3)) (+.f64 1/4 (-.f64 (*.f64 (*.f64 (-.f64 beta alpha) (neg.f64 (/.f64 -1/2 beta))) (*.f64 (-.f64 beta alpha) (neg.f64 (/.f64 -1/2 beta)))) (*.f64 1/2 (*.f64 (-.f64 beta alpha) (neg.f64 (/.f64 -1/2 beta)))))))
(/.f64 (-.f64 1/4 (*.f64 (*.f64 (-.f64 beta alpha) (neg.f64 (/.f64 -1/2 beta))) (*.f64 (-.f64 beta alpha) (neg.f64 (/.f64 -1/2 beta))))) (-.f64 1/2 (*.f64 (-.f64 beta alpha) (neg.f64 (/.f64 -1/2 beta)))))
(/.f64 (-.f64 (pow.f64 (-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 beta))) 2) 0) (-.f64 (-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 beta))) 0))
(pow.f64 (-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 beta))) 1)
(pow.f64 (cbrt.f64 (-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 beta)))) 3)
(pow.f64 (pow.f64 (-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 beta))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 beta)))) 2)
(sqrt.f64 (pow.f64 (-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 beta))) 2))
(log.f64 (exp.f64 (-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 beta)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 beta))))))
(cbrt.f64 (pow.f64 (-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 beta))) 3))
(expm1.f64 (log1p.f64 (-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 beta)))))
(log1p.f64 (expm1.f64 (-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 beta)))))
(exp.f64 (log.f64 (-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 beta)))))
(exp.f64 (*.f64 (log.f64 (-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 beta)))) 1))
(fma.f64 1 (-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 beta))) 0)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 beta)))) 2) (cbrt.f64 (-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 beta)))) 0)
(fma.f64 (sqrt.f64 (-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 beta)))) (sqrt.f64 (-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 beta)))) 0)
(+.f64 1 (/.f64 alpha (neg.f64 (+.f64 alpha 2))))
(+.f64 1 (*.f64 (/.f64 alpha (neg.f64 (+.f64 alpha 2))) 1))
(+.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 0)
(+.f64 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1) 0)
(*.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))))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) (/.f64 alpha (+.f64 alpha 2)))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))))
(/.f64 1 (/.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))
(/.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3) (+.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) (-.f64 0 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 0))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) (/.f64 alpha (+.f64 alpha 2)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (neg.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) (/.f64 alpha (+.f64 alpha 2))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (neg.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (neg.f64 (+.f64 alpha 2))) 3)) (+.f64 1 (-.f64 (*.f64 (/.f64 alpha (neg.f64 (+.f64 alpha 2))) (/.f64 alpha (neg.f64 (+.f64 alpha 2)))) (/.f64 alpha (neg.f64 (+.f64 alpha 2))))))
(/.f64 (-.f64 1 (*.f64 (/.f64 alpha (neg.f64 (+.f64 alpha 2))) (/.f64 alpha (neg.f64 (+.f64 alpha 2))))) (-.f64 1 (/.f64 alpha (neg.f64 (+.f64 alpha 2)))))
(/.f64 (-.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) 0) (-.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 0))
(pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1)
(pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 3)
(pow.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2)
(sqrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2))
(log.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))))
(cbrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3))
(expm1.f64 (log1p.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(log1p.f64 (expm1.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(exp.f64 (log1p.f64 (/.f64 alpha (neg.f64 (+.f64 alpha 2)))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 alpha (neg.f64 (+.f64 alpha 2)))) 1))
(fma.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 0)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2) (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 0)
(fma.f64 (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 0)
(+.f64 (/.f64 alpha (+.f64 alpha 2)) 0)
(+.f64 (*.f64 (/.f64 alpha (+.f64 alpha 2)) 1) 0)
(-.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1)
(*.f64 alpha (/.f64 1 (+.f64 alpha 2)))
(*.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2) (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))))
(*.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))) (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))))
(*.f64 (neg.f64 alpha) (/.f64 1 (neg.f64 (+.f64 alpha 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) 1) (/.f64 (cbrt.f64 alpha) (+.f64 alpha 2)))
(*.f64 (/.f64 (sqrt.f64 alpha) 1) (/.f64 (sqrt.f64 alpha) (+.f64 alpha 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (/.f64 alpha (cbrt.f64 (+.f64 alpha 2))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha 2))) (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (+.f64 alpha 2))) (/.f64 (cbrt.f64 alpha) (sqrt.f64 (+.f64 alpha 2))))
(*.f64 (/.f64 (sqrt.f64 alpha) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (/.f64 (sqrt.f64 alpha) (cbrt.f64 (+.f64 alpha 2))))
(pow.f64 (/.f64 alpha (+.f64 alpha 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 3)
(pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2)
(pow.f64 (/.f64 (+.f64 alpha 2) alpha) -1)
(neg.f64 (/.f64 alpha (neg.f64 (+.f64 alpha 2))))
(sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))
(log.f64 (exp.f64 (/.f64 alpha (+.f64 alpha 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 alpha (+.f64 alpha 2)))))
(cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))
(expm1.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha 2))))
(log1p.f64 (expm1.f64 (/.f64 alpha (+.f64 alpha 2))))
(exp.f64 (log.f64 (/.f64 alpha (+.f64 alpha 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 alpha (+.f64 alpha 2))) 1))
(fma.f64 alpha (/.f64 1 (+.f64 alpha 2)) 0)
(fma.f64 1 (/.f64 alpha (+.f64 alpha 2)) 0)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2) (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 0)
(fma.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))) (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))) 0)
(+.f64 2 (/.f64 (fma.f64 alpha 2 2) (neg.f64 beta)))
(+.f64 2 (*.f64 (/.f64 (fma.f64 alpha 2 2) (neg.f64 beta)) 1))
(+.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) 0)
(+.f64 (*.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) 1) 0)
(*.f64 1 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))) 2) (cbrt.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))))
(*.f64 (sqrt.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))) (sqrt.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))))
(*.f64 (-.f64 8 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 3)) (/.f64 1 (+.f64 4 (+.f64 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 2) (*.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))))))
(*.f64 (-.f64 4 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 2)) (/.f64 1 (+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))))
(/.f64 1 (/.f64 (+.f64 4 (+.f64 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 2) (*.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)))) (-.f64 8 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 3))))
(/.f64 1 (/.f64 (+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) (-.f64 4 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 2))))
(/.f64 (pow.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) 3) (+.f64 (pow.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) 2) (-.f64 0 (*.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) 0))))
(/.f64 (-.f64 8 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 3)) (+.f64 4 (+.f64 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 2) (*.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)))))
(/.f64 (-.f64 4 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 2)) (+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)))
(/.f64 (neg.f64 (-.f64 8 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 3))) (neg.f64 (+.f64 4 (+.f64 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 2) (*.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))))))
(/.f64 (neg.f64 (-.f64 4 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 2))) (neg.f64 (+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))))
(/.f64 (+.f64 8 (pow.f64 (/.f64 (fma.f64 alpha 2 2) (neg.f64 beta)) 3)) (+.f64 4 (-.f64 (*.f64 (/.f64 (fma.f64 alpha 2 2) (neg.f64 beta)) (/.f64 (fma.f64 alpha 2 2) (neg.f64 beta))) (*.f64 2 (/.f64 (fma.f64 alpha 2 2) (neg.f64 beta))))))
(/.f64 (-.f64 4 (*.f64 (/.f64 (fma.f64 alpha 2 2) (neg.f64 beta)) (/.f64 (fma.f64 alpha 2 2) (neg.f64 beta)))) (-.f64 2 (/.f64 (fma.f64 alpha 2 2) (neg.f64 beta))))
(/.f64 (-.f64 (pow.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) 2) 0) (-.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) 0))
(pow.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) 1)
(pow.f64 (cbrt.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))) 3)
(pow.f64 (pow.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))) 2)
(sqrt.f64 (pow.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) 2))
(log.f64 (exp.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)))))
(cbrt.f64 (pow.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) 3))
(expm1.f64 (log1p.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))))
(log1p.f64 (expm1.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))))
(exp.f64 (log.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))))
(exp.f64 (*.f64 (log.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))) 1))
(fma.f64 1 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) 0)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))) 2) (cbrt.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))) 0)
(fma.f64 (sqrt.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))) (sqrt.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))) 0)
(+.f64 (/.f64 (fma.f64 alpha 2 2) beta) 0)
(+.f64 (*.f64 (/.f64 (fma.f64 alpha 2 2) beta) 1) 0)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 alpha 2 2) beta))) 1)
(*.f64 1 (/.f64 (fma.f64 alpha 2 2) beta))
(*.f64 (fma.f64 alpha 2 2) (/.f64 1 beta))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 alpha 2 2) beta)) 2) (cbrt.f64 (/.f64 (fma.f64 alpha 2 2) beta)))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 alpha 2 2) beta)) (sqrt.f64 (/.f64 (fma.f64 alpha 2 2) beta)))
(*.f64 (*.f64 (+.f64 alpha 1) -2) (/.f64 1 (neg.f64 beta)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (fma.f64 alpha 2 2) (cbrt.f64 beta)))
(*.f64 (/.f64 1 (sqrt.f64 beta)) (/.f64 (fma.f64 alpha 2 2) (sqrt.f64 beta)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 alpha 2 2)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 alpha 2 2)) beta))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 alpha 2 2)) 2) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 (/.f64 (fma.f64 alpha 2 2) beta)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 alpha 2 2)) 2) (sqrt.f64 beta)) (/.f64 (cbrt.f64 (fma.f64 alpha 2 2)) (sqrt.f64 beta)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 alpha 2 2)) 1) (/.f64 (sqrt.f64 (fma.f64 alpha 2 2)) beta))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 alpha 2 2)) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (sqrt.f64 (fma.f64 alpha 2 2)) (cbrt.f64 beta)))
(*.f64 (/.f64 (+.f64 alpha 1) 1) (/.f64 2 beta))
(*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 2 (cbrt.f64 beta)))
(*.f64 (/.f64 (+.f64 alpha 1) (sqrt.f64 beta)) (/.f64 2 (sqrt.f64 beta)))
(pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 1)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 alpha 2 2) beta)) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 alpha 2 2) beta)) 2)
(pow.f64 (/.f64 beta (fma.f64 alpha 2 2)) -1)
(neg.f64 (/.f64 (fma.f64 alpha 2 2) (neg.f64 beta)))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 alpha 2 2) beta)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 alpha 2 2) beta))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 3))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 alpha 2 2) beta)))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 alpha 2 2) beta)))
(exp.f64 (log.f64 (/.f64 (fma.f64 alpha 2 2) beta)))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 alpha 2 2) beta)) 1))
(fma.f64 1 (/.f64 (fma.f64 alpha 2 2) beta) 0)
(fma.f64 (fma.f64 alpha 2 2) (/.f64 1 beta) 0)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 alpha 2 2) beta)) 2) (cbrt.f64 (/.f64 (fma.f64 alpha 2 2) beta)) 0)
(fma.f64 (sqrt.f64 (/.f64 (fma.f64 alpha 2 2) beta)) (sqrt.f64 (/.f64 (fma.f64 alpha 2 2) beta)) 0)
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)
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1
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(/.f64 beta alpha)
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(+.f64 1 (-.f64 (fma.f64 beta (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 (pow.f64 beta 2) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)))))) (/.f64 alpha (+.f64 alpha 2))))
2
(+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)))
(-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))
(-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(-.f64 (+.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 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 (fma.f64 alpha 2 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))))
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(+.f64 2 (-.f64 (-.f64 (-.f64 (*.f64 alpha (/.f64 (+.f64 alpha 2) (pow.f64 beta 2))) (/.f64 (fma.f64 alpha 2 2) beta)) (*.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3)))) (-.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2)))))
2
(+.f64 2 (*.f64 -1 (/.f64 (-.f64 (+.f64 2 alpha) (*.f64 -1 alpha)) beta)))
(+.f64 2 (neg.f64 (/.f64 (-.f64 (+.f64 alpha 2) (neg.f64 alpha)) beta)))
(-.f64 2 (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta))
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 2 alpha) (*.f64 -1 alpha)) beta)) (+.f64 (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))
(+.f64 2 (fma.f64 -1 (/.f64 (-.f64 (+.f64 alpha 2) (neg.f64 alpha)) beta) (+.f64 (*.f64 alpha (/.f64 (+.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))))))
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(+.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)))
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(+.f64 1 (-.f64 (/.f64 beta (+.f64 2 beta)) (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))))
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(+.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))))))
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(/.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 (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 (*.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 (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 (*.f64 beta (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 (neg.f64 (-.f64 (fma.f64 -1 beta -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 (neg.f64 (-.f64 (fma.f64 -1 beta -2) beta)) alpha) (/.f64 (fma.f64 beta (+.f64 2 beta) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)))))
(fma.f64 -1 (/.f64 (fma.f64 beta (+.f64 2 beta) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2)) (fma.f64 -1 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3)))))
(-.f64 (-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (*.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3)))) (/.f64 (-.f64 (fma.f64 -1 beta -2) beta) alpha)) (/.f64 (fma.f64 beta (+.f64 2 beta) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 3)) (pow.f64 (+.f64 2 beta) 4)) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3))))))
(fma.f64 -1 (/.f64 (fma.f64 beta (+.f64 2 beta) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2)) (fma.f64 -1 (/.f64 (fma.f64 beta (pow.f64 (+.f64 2 beta) 3) (pow.f64 (+.f64 2 beta) 4)) (pow.f64 alpha 4)) (fma.f64 -1 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3))))))
(-.f64 (-.f64 (-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (*.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3)))) (/.f64 (-.f64 (fma.f64 -1 beta -2) beta) alpha)) (/.f64 (fma.f64 beta (pow.f64 (+.f64 2 beta) 3) (pow.f64 (+.f64 2 beta) 4)) (pow.f64 alpha 4))) (/.f64 (fma.f64 beta (+.f64 2 beta) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2)))
(/.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 (neg.f64 (/.f64 (+.f64 2 beta) 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 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)) (/.f64 (+.f64 2 beta) alpha)))
(+.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)))))
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1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 beta) alpha)))
(+.f64 1 (neg.f64 (/.f64 (+.f64 2 beta) alpha)))
(-.f64 1 (/.f64 (+.f64 2 beta) alpha))
(+.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 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)) (/.f64 (+.f64 2 beta) alpha)))
(+.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 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3))) (/.f64 (+.f64 2 beta) alpha)))
(/.f64 alpha (+.f64 2 alpha))
(/.f64 alpha (+.f64 alpha 2))
(+.f64 (*.f64 -1 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 alpha (+.f64 2 alpha)))
(fma.f64 -1 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 alpha (+.f64 alpha 2)))
(-.f64 (/.f64 alpha (+.f64 alpha 2)) (*.f64 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))))
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(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (/.f64 alpha (cbrt.f64 (+.f64 alpha 2))))
(/.f64 (/.f64 alpha (cbrt.f64 (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha 2))) (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))))
(/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 alpha 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))))
(*.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (+.f64 alpha 2))) (/.f64 (cbrt.f64 alpha) (sqrt.f64 (+.f64 alpha 2))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 alpha) 2) (/.f64 (cbrt.f64 alpha) (sqrt.f64 (+.f64 alpha 2)))) (sqrt.f64 (+.f64 alpha 2)))
(*.f64 (/.f64 (sqrt.f64 alpha) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (/.f64 (sqrt.f64 alpha) (cbrt.f64 (+.f64 alpha 2))))
(pow.f64 (/.f64 alpha (+.f64 alpha 2)) 1)
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(log.f64 (+.f64 1 (expm1.f64 (/.f64 alpha (+.f64 alpha 2)))))
(/.f64 alpha (+.f64 alpha 2))
(cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))
(/.f64 alpha (+.f64 alpha 2))
(expm1.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha 2))))
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(log1p.f64 (expm1.f64 (/.f64 alpha (+.f64 alpha 2))))
(/.f64 alpha (+.f64 alpha 2))
(exp.f64 (log.f64 (/.f64 alpha (+.f64 alpha 2))))
(/.f64 alpha (+.f64 alpha 2))
(exp.f64 (*.f64 (log.f64 (/.f64 alpha (+.f64 alpha 2))) 1))
(/.f64 alpha (+.f64 alpha 2))
(fma.f64 alpha (/.f64 1 (+.f64 alpha 2)) 0)
(/.f64 alpha (+.f64 alpha 2))
(fma.f64 1 (/.f64 alpha (+.f64 alpha 2)) 0)
(/.f64 alpha (+.f64 alpha 2))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2) (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 0)
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(+.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) 0)
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(+.f64 (*.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) 1) 0)
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(*.f64 1 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)))
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(*.f64 (pow.f64 (cbrt.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))) 2) (cbrt.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))))
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(*.f64 (sqrt.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))) (sqrt.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))))
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(*.f64 (-.f64 8 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 3)) (/.f64 1 (+.f64 4 (+.f64 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 2) (*.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))))))
(/.f64 (-.f64 8 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 3)) (+.f64 4 (+.f64 (*.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 2))))
(*.f64 (-.f64 4 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 2)) (/.f64 1 (+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))))
(/.f64 (-.f64 4 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 2)) (+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)))
(/.f64 1 (/.f64 (+.f64 4 (+.f64 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 2) (*.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)))) (-.f64 8 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 3))))
(*.f64 (-.f64 8 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 3)) (/.f64 1 (+.f64 4 (+.f64 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 2) (*.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))))))
(/.f64 (-.f64 8 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 3)) (+.f64 4 (+.f64 (*.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 2))))
(/.f64 1 (/.f64 (+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) (-.f64 4 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 2))))
(*.f64 (-.f64 4 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 2)) (/.f64 1 (+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))))
(/.f64 (-.f64 4 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 2)) (+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)))
(/.f64 (pow.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) 3) (+.f64 (pow.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) 2) (-.f64 0 (*.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) 0))))
(/.f64 (pow.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) 3) (pow.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) 2))
(/.f64 (-.f64 8 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 3)) (+.f64 4 (+.f64 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 2) (*.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)))))
(*.f64 (-.f64 8 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 3)) (/.f64 1 (+.f64 4 (+.f64 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 2) (*.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))))))
(/.f64 (-.f64 8 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 3)) (+.f64 4 (+.f64 (*.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 2))))
(/.f64 (-.f64 4 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 2)) (+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)))
(*.f64 (-.f64 4 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 2)) (/.f64 1 (+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))))
(/.f64 (neg.f64 (-.f64 8 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 3))) (neg.f64 (+.f64 4 (+.f64 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 2) (*.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))))))
(/.f64 (neg.f64 (-.f64 8 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 3))) (+.f64 -4 (neg.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 2) (*.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))))))
(/.f64 (neg.f64 (-.f64 8 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 3))) (-.f64 -4 (+.f64 (*.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 2))))
(/.f64 (neg.f64 (-.f64 4 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 2))) (neg.f64 (+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))))
(/.f64 (neg.f64 (-.f64 4 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 2))) (+.f64 -2 (/.f64 (fma.f64 alpha 2 2) (neg.f64 beta))))
(/.f64 (neg.f64 (-.f64 4 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 2))) (-.f64 -2 (/.f64 (fma.f64 alpha 2 2) beta)))
(/.f64 (+.f64 8 (pow.f64 (/.f64 (fma.f64 alpha 2 2) (neg.f64 beta)) 3)) (+.f64 4 (-.f64 (*.f64 (/.f64 (fma.f64 alpha 2 2) (neg.f64 beta)) (/.f64 (fma.f64 alpha 2 2) (neg.f64 beta))) (*.f64 2 (/.f64 (fma.f64 alpha 2 2) (neg.f64 beta))))))
(*.f64 (-.f64 8 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 3)) (/.f64 1 (+.f64 4 (+.f64 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 2) (*.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))))))
(/.f64 (-.f64 8 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 3)) (+.f64 4 (+.f64 (*.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 2))))
(/.f64 (-.f64 4 (*.f64 (/.f64 (fma.f64 alpha 2 2) (neg.f64 beta)) (/.f64 (fma.f64 alpha 2 2) (neg.f64 beta)))) (-.f64 2 (/.f64 (fma.f64 alpha 2 2) (neg.f64 beta))))
(*.f64 (-.f64 4 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 2)) (/.f64 1 (+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))))
(/.f64 (-.f64 4 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 2)) (+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)))
(/.f64 (-.f64 (pow.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) 2) 0) (-.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) 0))
(/.f64 (pow.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) 2) (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)))
(pow.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) 1)
(-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))
(pow.f64 (cbrt.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))) 3)
(-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))
(pow.f64 (pow.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) 3) 1/3)
(-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))
(pow.f64 (sqrt.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))) 2)
(-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))
(sqrt.f64 (pow.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) 2))
(fabs.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)))
(log.f64 (exp.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))))
(-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)))))
(-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))
(cbrt.f64 (pow.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) 3))
(-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))
(expm1.f64 (log1p.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))))
(log1p.f64 (expm1.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))))
(-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))
(exp.f64 (log.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))))
(-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))
(exp.f64 (*.f64 (log.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))) 1))
(-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))
(fma.f64 1 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) 0)
(-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))) 2) (cbrt.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))) 0)
(-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))
(fma.f64 (sqrt.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))) (sqrt.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))) 0)
(-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))
(+.f64 (/.f64 (fma.f64 alpha 2 2) beta) 0)
(/.f64 (fma.f64 alpha 2 2) beta)
(+.f64 (*.f64 (/.f64 (fma.f64 alpha 2 2) beta) 1) 0)
(/.f64 (fma.f64 alpha 2 2) beta)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 alpha 2 2) beta))) 1)
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 alpha 2 2) beta)))
(*.f64 1 (/.f64 (fma.f64 alpha 2 2) beta))
(/.f64 (fma.f64 alpha 2 2) beta)
(*.f64 (fma.f64 alpha 2 2) (/.f64 1 beta))
(/.f64 (fma.f64 alpha 2 2) beta)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 alpha 2 2) beta)) 2) (cbrt.f64 (/.f64 (fma.f64 alpha 2 2) beta)))
(/.f64 (fma.f64 alpha 2 2) beta)
(*.f64 (sqrt.f64 (/.f64 (fma.f64 alpha 2 2) beta)) (sqrt.f64 (/.f64 (fma.f64 alpha 2 2) beta)))
(/.f64 (fma.f64 alpha 2 2) beta)
(*.f64 (*.f64 (+.f64 alpha 1) -2) (/.f64 1 (neg.f64 beta)))
(*.f64 (*.f64 -2 (+.f64 alpha 1)) (/.f64 1 (neg.f64 beta)))
(/.f64 (*.f64 -2 (+.f64 alpha 1)) (neg.f64 beta))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (fma.f64 alpha 2 2) (cbrt.f64 beta)))
(/.f64 (/.f64 (fma.f64 alpha 2 2) (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2))
(*.f64 (/.f64 1 (sqrt.f64 beta)) (/.f64 (fma.f64 alpha 2 2) (sqrt.f64 beta)))
(/.f64 (/.f64 (fma.f64 alpha 2 2) (sqrt.f64 beta)) (sqrt.f64 beta))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 alpha 2 2)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 alpha 2 2)) beta))
(/.f64 (fma.f64 alpha 2 2) beta)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 alpha 2 2)) 2) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 (/.f64 (fma.f64 alpha 2 2) beta)))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 alpha 2 2) beta)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 alpha 2 2)) 2) (pow.f64 (cbrt.f64 beta) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 alpha 2 2)) 2) (sqrt.f64 beta)) (/.f64 (cbrt.f64 (fma.f64 alpha 2 2)) (sqrt.f64 beta)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 alpha 2 2)) 2) (/.f64 (cbrt.f64 (fma.f64 alpha 2 2)) (sqrt.f64 beta))) (sqrt.f64 beta))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 alpha 2 2)) 1) (/.f64 (sqrt.f64 (fma.f64 alpha 2 2)) beta))
(/.f64 (fma.f64 alpha 2 2) beta)
(*.f64 (/.f64 (sqrt.f64 (fma.f64 alpha 2 2)) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (sqrt.f64 (fma.f64 alpha 2 2)) (cbrt.f64 beta)))
(*.f64 (/.f64 (+.f64 alpha 1) 1) (/.f64 2 beta))
(*.f64 (/.f64 2 beta) (+.f64 alpha 1))
(*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 2 (cbrt.f64 beta)))
(/.f64 (*.f64 (+.f64 alpha 1) (/.f64 2 (cbrt.f64 beta))) (pow.f64 (cbrt.f64 beta) 2))
(*.f64 (/.f64 (+.f64 alpha 1) (sqrt.f64 beta)) (/.f64 2 (sqrt.f64 beta)))
(pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 1)
(/.f64 (fma.f64 alpha 2 2) beta)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 alpha 2 2) beta)) 3)
(/.f64 (fma.f64 alpha 2 2) beta)
(pow.f64 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 3) 1/3)
(/.f64 (fma.f64 alpha 2 2) beta)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 alpha 2 2) beta)) 2)
(/.f64 (fma.f64 alpha 2 2) beta)
(pow.f64 (/.f64 beta (fma.f64 alpha 2 2)) -1)
(/.f64 1 (/.f64 beta (fma.f64 alpha 2 2)))
(neg.f64 (/.f64 (fma.f64 alpha 2 2) (neg.f64 beta)))
(/.f64 (fma.f64 alpha 2 2) beta)
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 2))
(fabs.f64 (/.f64 (fma.f64 alpha 2 2) beta))
(log.f64 (exp.f64 (/.f64 (fma.f64 alpha 2 2) beta)))
(/.f64 (fma.f64 alpha 2 2) beta)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 alpha 2 2) beta))))
(/.f64 (fma.f64 alpha 2 2) beta)
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 3))
(/.f64 (fma.f64 alpha 2 2) beta)
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 alpha 2 2) beta)))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 alpha 2 2) beta)))
(/.f64 (fma.f64 alpha 2 2) beta)
(exp.f64 (log.f64 (/.f64 (fma.f64 alpha 2 2) beta)))
(/.f64 (fma.f64 alpha 2 2) beta)
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 alpha 2 2) beta)) 1))
(/.f64 (fma.f64 alpha 2 2) beta)
(fma.f64 1 (/.f64 (fma.f64 alpha 2 2) beta) 0)
(/.f64 (fma.f64 alpha 2 2) beta)
(fma.f64 (fma.f64 alpha 2 2) (/.f64 1 beta) 0)
(/.f64 (fma.f64 alpha 2 2) beta)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 alpha 2 2) beta)) 2) (cbrt.f64 (/.f64 (fma.f64 alpha 2 2) beta)) 0)
(/.f64 (fma.f64 alpha 2 2) beta)
(fma.f64 (sqrt.f64 (/.f64 (fma.f64 alpha 2 2) beta)) (sqrt.f64 (/.f64 (fma.f64 alpha 2 2) beta)) 0)
(/.f64 (fma.f64 alpha 2 2) beta)

eval496.0ms (4.4%)

Compiler

Compiled 19949 to 14348 computations (28.1% saved)

prune166.0ms (1.5%)

Pruning

16 alts after pruning (12 fresh and 4 done)

PrunedKeptTotal
New7496755
Fresh066
Picked235
Done011
Total75116767
Accuracy
100.0%
Counts
767 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
27.7%
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
21.1%
(/.f64 (/.f64 2 alpha) 2)
25.4%
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)) (/.f64 (+.f64 2 beta) alpha))) 2)
77.4%
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
19.5%
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (pow.f64 alpha 2))) 2)
76.4%
(/.f64 (-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 2)
26.1%
(/.f64 (-.f64 (*.f64 (-.f64 -2 beta) (/.f64 (+.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 2)
36.7%
(/.f64 (-.f64 2 (*.f64 2 (/.f64 alpha beta))) 2)
48.0%
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
46.4%
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
76.3%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
74.6%
(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
3.7%
(-.f64 1/2 1/2)
25.1%
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (+.f64 2 beta) 2) (-.f64 (*.f64 -1 beta) (+.f64 2 beta))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha)) (*.f64 1/2 (/.f64 (*.f64 (+.f64 2 beta) (-.f64 (*.f64 -1 beta) (+.f64 2 beta))) (pow.f64 alpha 2)))))
36.6%
(+.f64 1 (*.f64 (/.f64 alpha beta) -1/2))
41.1%
1
Compiler

Compiled 450 to 352 computations (21.8% saved)

localize212.0ms (1.9%)

Localize:

Found 7 expressions with local error:

NewAccuracyProgram
100.0%
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
100.0%
(/.f64 beta (+.f64 2 beta))
100.0%
(+.f64 1 (*.f64 (/.f64 alpha beta) -1/2))
100.0%
(+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))
100.0%
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
100.0%
(/.f64 beta (+.f64 beta (+.f64 alpha 2)))
76.3%
(-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))
Compiler

Compiled 151 to 99 computations (34.4% saved)

series22.0ms (0.2%)

Counts
5 → 96
Calls

27 calls:

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

rewrite233.0ms (2.1%)

Algorithm
batch-egg-rewrite
Rules
394×log1p-expm1-u
260×associate-*r*
217×add0
209×expm1-log1p-u
205×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
024170
1449138
27806138
Stop Event
node limit
Counts
5 → 222
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))
(+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))
(+.f64 1 (*.f64 (/.f64 alpha beta) -1/2))
(/.f64 beta (+.f64 2 beta))
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
Outputs
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
(+.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))
(+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 alpha (+.f64 (neg.f64 (+.f64 beta alpha)) -2))))
(+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(+.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 (neg.f64 (+.f64 beta alpha)) -2)))
(+.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (*.f64 (/.f64 alpha (+.f64 (neg.f64 (+.f64 beta alpha)) -2)) 1))
(+.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (+.f64 0 (/.f64 alpha (+.f64 (neg.f64 (+.f64 beta alpha)) -2))))
(+.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 0)
(+.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (fma.f64 (/.f64 alpha (+.f64 (neg.f64 (+.f64 beta alpha)) -2)) 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(+.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (fma.f64 (neg.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) alpha (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(+.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 2) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(+.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) (sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(+.f64 0 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(+.f64 (/.f64 alpha (+.f64 (neg.f64 (+.f64 beta alpha)) -2)) (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)
(*.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(*.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 3) (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (*.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))))))
(*.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) (-.f64 (sqrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (*.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))))) (-.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 3) (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3))))
(/.f64 1 (/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) (-.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2))))
(/.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3) (+.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2) (-.f64 0 (*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 0))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 3) (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (*.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2)) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (-.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3)) (/.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) 1)) (*.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (/.f64 (+.f64 beta (+.f64 alpha 2)) alpha)))
(/.f64 (-.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) alpha)) (*.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (+.f64 beta (+.f64 alpha 2))))
(/.f64 (-.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 (neg.f64 (+.f64 beta alpha)) -2)) (*.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (neg.f64 alpha))) (*.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (+.f64 (neg.f64 (+.f64 beta alpha)) -2)))
(/.f64 (-.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (-.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 1)) (*.f64 (-.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 (+.f64 beta (+.f64 alpha 2)) alpha)))
(/.f64 (-.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2)) (+.f64 beta (+.f64 alpha 2))) (*.f64 (-.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) alpha)) (*.f64 (-.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (+.f64 alpha 2))))
(/.f64 (-.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2)) (+.f64 (neg.f64 (+.f64 beta alpha)) -2)) (*.f64 (-.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (neg.f64 alpha))) (*.f64 (-.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (+.f64 (neg.f64 (+.f64 beta alpha)) -2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 3) (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (*.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2))) (neg.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))))
(/.f64 (+.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))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 3) (pow.f64 (/.f64 alpha (+.f64 (neg.f64 (+.f64 beta alpha)) -2)) 3)) (+.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (-.f64 (*.f64 (/.f64 alpha (+.f64 (neg.f64 (+.f64 beta alpha)) -2)) (/.f64 alpha (+.f64 (neg.f64 (+.f64 beta alpha)) -2))) (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 (neg.f64 (+.f64 beta alpha)) -2))))))
(/.f64 (-.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (*.f64 (/.f64 alpha (+.f64 (neg.f64 (+.f64 beta alpha)) -2)) (/.f64 alpha (+.f64 (neg.f64 (+.f64 beta alpha)) -2)))) (-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 (neg.f64 (+.f64 beta alpha)) -2))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2) 0) (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 3)
(pow.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2))
(log.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(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 1 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 (neg.f64 (+.f64 beta alpha)) -2)))
(fma.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 0)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 0)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) 2) (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (/.f64 alpha (+.f64 (neg.f64 (+.f64 beta alpha)) -2)))
(fma.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 0)
(fma.f64 (sqrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (sqrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (/.f64 alpha (+.f64 (neg.f64 (+.f64 beta alpha)) -2)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))) 1)
(-.f64 (/.f64 1 (-.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (/.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))))
(*.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 1)
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) 2) (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))))
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (sqrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))))
(*.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 1 (-.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3))))
(/.f64 1 (/.f64 (-.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2))))
(/.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 3) (+.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (-.f64 0 (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 0))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2)) (-.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2))) (neg.f64 (-.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) 1) (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) 0) (-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 0))
(pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) 3)
(pow.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2))
(log.f64 (exp.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))))
(exp.f64 (log1p.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 1))
(fma.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1)
(fma.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 0)
(fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) 2) (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) 0)
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 1)
(fma.f64 (sqrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (sqrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) 0)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 alpha beta) -1/2 1))) 1)
(-.f64 (/.f64 1 (+.f64 1 (*.f64 1/2 (/.f64 alpha beta)))) (/.f64 (pow.f64 (*.f64 (/.f64 alpha beta) -1/2) 2) (+.f64 1 (*.f64 1/2 (/.f64 alpha beta)))))
(*.f64 1 (fma.f64 (/.f64 alpha beta) -1/2 1))
(*.f64 (fma.f64 (/.f64 alpha beta) -1/2 1) 1)
(*.f64 (cbrt.f64 (fma.f64 (/.f64 alpha beta) -1/2 1)) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 alpha beta) -1/2 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 alpha beta) -1/2 1)) 2) (cbrt.f64 (fma.f64 (/.f64 alpha beta) -1/2 1)))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 alpha beta) -1/2 1)) (sqrt.f64 (fma.f64 (/.f64 alpha beta) -1/2 1)))
(*.f64 (+.f64 1 (pow.f64 (*.f64 (/.f64 alpha beta) -1/2) 3)) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (*.f64 (/.f64 alpha beta) -1/2) 2) (*.f64 1/2 (/.f64 alpha beta))))))
(*.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 alpha beta) -1/2) 2)) (/.f64 1 (+.f64 1 (*.f64 1/2 (/.f64 alpha beta)))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (pow.f64 (*.f64 (/.f64 alpha beta) -1/2) 2) (*.f64 1/2 (/.f64 alpha beta)))) (+.f64 1 (pow.f64 (*.f64 (/.f64 alpha beta) -1/2) 3))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 1/2 (/.f64 alpha beta))) (-.f64 1 (pow.f64 (*.f64 (/.f64 alpha beta) -1/2) 2))))
(/.f64 (pow.f64 (fma.f64 (/.f64 alpha beta) -1/2 1) 3) (+.f64 (pow.f64 (fma.f64 (/.f64 alpha beta) -1/2 1) 2) (-.f64 0 (*.f64 (fma.f64 (/.f64 alpha beta) -1/2 1) 0))))
(/.f64 (+.f64 1 (pow.f64 (*.f64 (/.f64 alpha beta) -1/2) 3)) (+.f64 1 (+.f64 (pow.f64 (*.f64 (/.f64 alpha beta) -1/2) 2) (*.f64 1/2 (/.f64 alpha beta)))))
(/.f64 (+.f64 1 (pow.f64 (*.f64 (/.f64 alpha beta) -1/2) 3)) (+.f64 (pow.f64 (*.f64 (/.f64 alpha beta) -1/2) 2) (+.f64 1 (*.f64 1/2 (/.f64 alpha beta)))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 alpha beta) -1/2) 2)) (+.f64 1 (*.f64 1/2 (/.f64 alpha beta))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (*.f64 (/.f64 alpha beta) -1/2) 3))) (neg.f64 (+.f64 1 (+.f64 (pow.f64 (*.f64 (/.f64 alpha beta) -1/2) 2) (*.f64 1/2 (/.f64 alpha beta))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 alpha beta) -1/2) 2))) (neg.f64 (+.f64 1 (*.f64 1/2 (/.f64 alpha beta)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 alpha beta) -1/2) 2) 1) (-.f64 (*.f64 (/.f64 alpha beta) -1/2) 1))
(/.f64 (-.f64 (pow.f64 (fma.f64 (/.f64 alpha beta) -1/2 1) 2) 0) (-.f64 (fma.f64 (/.f64 alpha beta) -1/2 1) 0))
(pow.f64 (fma.f64 (/.f64 alpha beta) -1/2 1) 1)
(pow.f64 (cbrt.f64 (fma.f64 (/.f64 alpha beta) -1/2 1)) 3)
(pow.f64 (pow.f64 (fma.f64 (/.f64 alpha beta) -1/2 1) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (/.f64 alpha beta) -1/2 1)) 2)
(sqrt.f64 (pow.f64 (fma.f64 (/.f64 alpha beta) -1/2 1) 2))
(log.f64 (exp.f64 (fma.f64 (/.f64 alpha beta) -1/2 1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 alpha beta) -1/2 1))))
(cbrt.f64 (pow.f64 (fma.f64 (/.f64 alpha beta) -1/2 1) 3))
(expm1.f64 (log1p.f64 (fma.f64 (/.f64 alpha beta) -1/2 1)))
(log1p.f64 (expm1.f64 (fma.f64 (/.f64 alpha beta) -1/2 1)))
(exp.f64 (log1p.f64 (*.f64 (/.f64 alpha beta) -1/2)))
(exp.f64 (*.f64 (log1p.f64 (*.f64 (/.f64 alpha beta) -1/2)) 1))
(fma.f64 1 (*.f64 (/.f64 alpha beta) -1/2) 1)
(fma.f64 1 (fma.f64 (/.f64 alpha beta) -1/2 1) 0)
(fma.f64 (/.f64 alpha beta) -1/2 1)
(fma.f64 -1/2 (/.f64 alpha beta) 1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 alpha beta) -1/2 1)) 2) (cbrt.f64 (fma.f64 (/.f64 alpha beta) -1/2 1)) 0)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 alpha beta) -1/2)) 2) (cbrt.f64 (*.f64 (/.f64 alpha beta) -1/2)) 1)
(fma.f64 (sqrt.f64 (fma.f64 (/.f64 alpha beta) -1/2 1)) (sqrt.f64 (fma.f64 (/.f64 alpha beta) -1/2 1)) 0)
(fma.f64 (sqrt.f64 (*.f64 (/.f64 alpha beta) -1/2)) (sqrt.f64 (*.f64 (/.f64 alpha beta) -1/2)) 1)
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(+.f64 0 (/.f64 beta (+.f64 beta 2)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2)))) 1)
(*.f64 1 (/.f64 beta (+.f64 beta 2)))
(*.f64 beta (/.f64 1 (+.f64 beta 2)))
(*.f64 (/.f64 beta (+.f64 beta 2)) 1)
(*.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta 2))))
(*.f64 (pow.f64 (cbrt.f64 beta) 2) (/.f64 (cbrt.f64 beta) (+.f64 beta 2)))
(*.f64 (pow.f64 (cbrt.f64 beta) 2) (*.f64 (cbrt.f64 beta) (/.f64 1 (+.f64 beta 2))))
(*.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (sqrt.f64 (/.f64 beta (+.f64 beta 2))))
(*.f64 (sqrt.f64 beta) (/.f64 (sqrt.f64 beta) (+.f64 beta 2)))
(*.f64 (sqrt.f64 beta) (*.f64 (sqrt.f64 beta) (/.f64 1 (+.f64 beta 2))))
(*.f64 (neg.f64 beta) (/.f64 1 (neg.f64 (+.f64 beta 2))))
(*.f64 (/.f64 1 (+.f64 beta 2)) beta)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (+.f64 beta 2)))
(*.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 beta 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 beta (cbrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta 2))) (/.f64 beta (sqrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (cbrt.f64 (/.f64 beta (+.f64 beta 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 beta 2))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 beta (+.f64 (pow.f64 beta 3) 8)) (+.f64 4 (*.f64 beta (-.f64 beta 2))))
(*.f64 (/.f64 beta (-.f64 4 (pow.f64 beta 2))) (-.f64 2 beta))
(pow.f64 (/.f64 beta (+.f64 beta 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 3)
(pow.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 2)
(pow.f64 (/.f64 (+.f64 beta 2) beta) -1)
(neg.f64 (/.f64 beta (neg.f64 (+.f64 beta 2))))
(neg.f64 (/.f64 (neg.f64 beta) (+.f64 beta 2)))
(sqrt.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2))
(log.f64 (exp.f64 (/.f64 beta (+.f64 beta 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 beta (+.f64 beta 2)))))
(cbrt.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))))
(log1p.f64 (expm1.f64 (/.f64 beta (+.f64 beta 2))))
(exp.f64 (log.f64 (/.f64 beta (+.f64 beta 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 beta (+.f64 beta 2))) 1))
(fma.f64 1 (/.f64 beta (+.f64 beta 2)) 0)
(fma.f64 beta (/.f64 1 (+.f64 beta 2)) 0)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 0)
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 0)
(+.f64 (/.f64 (fma.f64 beta 2 2) alpha) 0)
(+.f64 0 (/.f64 (fma.f64 beta 2 2) alpha))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 beta 2 2) alpha))) 1)
(*.f64 1 (/.f64 (fma.f64 beta 2 2) alpha))
(*.f64 (fma.f64 beta 2 2) (/.f64 1 alpha))
(*.f64 (/.f64 (fma.f64 beta 2 2) alpha) 1)
(*.f64 (cbrt.f64 (/.f64 (fma.f64 beta 2 2) alpha)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 beta 2 2) alpha)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 beta 2 2) alpha)) 2) (cbrt.f64 (/.f64 (fma.f64 beta 2 2) alpha)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 beta 2 2)) 2) (/.f64 (cbrt.f64 (fma.f64 beta 2 2)) alpha))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 beta 2 2)) 2) (*.f64 (cbrt.f64 (fma.f64 beta 2 2)) (/.f64 1 alpha)))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 beta 2 2) alpha)) (sqrt.f64 (/.f64 (fma.f64 beta 2 2) alpha)))
(*.f64 (sqrt.f64 (fma.f64 beta 2 2)) (/.f64 (sqrt.f64 (fma.f64 beta 2 2)) alpha))
(*.f64 (sqrt.f64 (fma.f64 beta 2 2)) (*.f64 (sqrt.f64 (fma.f64 beta 2 2)) (/.f64 1 alpha)))
(*.f64 (neg.f64 (fma.f64 beta 2 2)) (/.f64 1 (neg.f64 alpha)))
(*.f64 (/.f64 1 alpha) (fma.f64 beta 2 2))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (fma.f64 beta 2 2) (cbrt.f64 alpha)))
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (fma.f64 beta 2 2) (sqrt.f64 alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 beta 2 2)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 beta 2 2)) alpha))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 beta 2 2)) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (fma.f64 beta 2 2) alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 beta 2 2)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (fma.f64 beta 2 2)) (sqrt.f64 alpha)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 beta 2 2)) 1) (/.f64 (sqrt.f64 (fma.f64 beta 2 2)) alpha))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 beta 2 2)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (fma.f64 beta 2 2)) (cbrt.f64 alpha)))
(pow.f64 (/.f64 (fma.f64 beta 2 2) alpha) 1)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 beta 2 2) alpha)) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 beta 2 2) alpha) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 beta 2 2) alpha)) 2)
(pow.f64 (/.f64 alpha (fma.f64 beta 2 2)) -1)
(neg.f64 (/.f64 (fma.f64 beta 2 2) (neg.f64 alpha)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 beta 2 2)) alpha))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 beta 2 2) alpha) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 beta 2 2) alpha)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 beta 2 2) alpha))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 beta 2 2) alpha) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 beta 2 2) 3) (pow.f64 alpha 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 beta 2 2) alpha)))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 beta 2 2) alpha)))
(exp.f64 (log.f64 (/.f64 (fma.f64 beta 2 2) alpha)))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 beta 2 2) alpha)) 1))
(fma.f64 1 (/.f64 (fma.f64 beta 2 2) alpha) 0)
(fma.f64 (fma.f64 beta 2 2) (/.f64 1 alpha) 0)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 beta 2 2) alpha)) 2) (cbrt.f64 (/.f64 (fma.f64 beta 2 2) alpha)) 0)
(fma.f64 (sqrt.f64 (/.f64 (fma.f64 beta 2 2) alpha)) (sqrt.f64 (/.f64 (fma.f64 beta 2 2) alpha)) 0)

simplify160.0ms (1.4%)

Algorithm
egg-herbie
Rules
1552×fma-define
1116×distribute-rgt-in
998×distribute-lft-in
942×add0
476×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
073017163
1273416592
Stop Event
node limit
Counts
318 → 445
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 2 (*.f64 -1 (/.f64 (-.f64 (+.f64 2 alpha) (*.f64 -1 alpha)) beta)))
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 2 alpha) (*.f64 -1 alpha)) beta)) (+.f64 (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 2 alpha) (*.f64 -1 alpha)) beta)) (+.f64 (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))))
(+.f64 1 (/.f64 beta (+.f64 2 beta)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (+.f64 (*.f64 (pow.f64 alpha 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 3))))) (/.f64 beta (+.f64 2 beta)))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))) (+.f64 (*.f64 (pow.f64 alpha 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 3))))) (/.f64 beta (+.f64 2 beta))))))
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))) (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 2 (/.f64 1 alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3))) (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 2 (/.f64 1 alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3))) (+.f64 (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2)) (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 3)) (pow.f64 alpha 4)))))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 3)) (pow.f64 (+.f64 2 beta) 4)) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3))))))
1
(+.f64 1 (/.f64 beta (+.f64 2 alpha)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 beta (+.f64 2 alpha))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (/.f64 beta (+.f64 2 alpha)) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3)))))
2
(+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)))
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))
2
(+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)))
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))
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(/.f64 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2)) (-.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2))) (neg.f64 (-.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) 1) (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) 0) (-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 0))
(pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) 3)
(pow.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2))
(log.f64 (exp.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))))
(exp.f64 (log1p.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 1))
(fma.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1)
(fma.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 0)
(fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) 2) (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) 0)
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 1)
(fma.f64 (sqrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (sqrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) 0)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 alpha beta) -1/2 1))) 1)
(-.f64 (/.f64 1 (+.f64 1 (*.f64 1/2 (/.f64 alpha beta)))) (/.f64 (pow.f64 (*.f64 (/.f64 alpha beta) -1/2) 2) (+.f64 1 (*.f64 1/2 (/.f64 alpha beta)))))
(*.f64 1 (fma.f64 (/.f64 alpha beta) -1/2 1))
(*.f64 (fma.f64 (/.f64 alpha beta) -1/2 1) 1)
(*.f64 (cbrt.f64 (fma.f64 (/.f64 alpha beta) -1/2 1)) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 alpha beta) -1/2 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 alpha beta) -1/2 1)) 2) (cbrt.f64 (fma.f64 (/.f64 alpha beta) -1/2 1)))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 alpha beta) -1/2 1)) (sqrt.f64 (fma.f64 (/.f64 alpha beta) -1/2 1)))
(*.f64 (+.f64 1 (pow.f64 (*.f64 (/.f64 alpha beta) -1/2) 3)) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (*.f64 (/.f64 alpha beta) -1/2) 2) (*.f64 1/2 (/.f64 alpha beta))))))
(*.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 alpha beta) -1/2) 2)) (/.f64 1 (+.f64 1 (*.f64 1/2 (/.f64 alpha beta)))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (pow.f64 (*.f64 (/.f64 alpha beta) -1/2) 2) (*.f64 1/2 (/.f64 alpha beta)))) (+.f64 1 (pow.f64 (*.f64 (/.f64 alpha beta) -1/2) 3))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 1/2 (/.f64 alpha beta))) (-.f64 1 (pow.f64 (*.f64 (/.f64 alpha beta) -1/2) 2))))
(/.f64 (pow.f64 (fma.f64 (/.f64 alpha beta) -1/2 1) 3) (+.f64 (pow.f64 (fma.f64 (/.f64 alpha beta) -1/2 1) 2) (-.f64 0 (*.f64 (fma.f64 (/.f64 alpha beta) -1/2 1) 0))))
(/.f64 (+.f64 1 (pow.f64 (*.f64 (/.f64 alpha beta) -1/2) 3)) (+.f64 1 (+.f64 (pow.f64 (*.f64 (/.f64 alpha beta) -1/2) 2) (*.f64 1/2 (/.f64 alpha beta)))))
(/.f64 (+.f64 1 (pow.f64 (*.f64 (/.f64 alpha beta) -1/2) 3)) (+.f64 (pow.f64 (*.f64 (/.f64 alpha beta) -1/2) 2) (+.f64 1 (*.f64 1/2 (/.f64 alpha beta)))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 alpha beta) -1/2) 2)) (+.f64 1 (*.f64 1/2 (/.f64 alpha beta))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (*.f64 (/.f64 alpha beta) -1/2) 3))) (neg.f64 (+.f64 1 (+.f64 (pow.f64 (*.f64 (/.f64 alpha beta) -1/2) 2) (*.f64 1/2 (/.f64 alpha beta))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 alpha beta) -1/2) 2))) (neg.f64 (+.f64 1 (*.f64 1/2 (/.f64 alpha beta)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 alpha beta) -1/2) 2) 1) (-.f64 (*.f64 (/.f64 alpha beta) -1/2) 1))
(/.f64 (-.f64 (pow.f64 (fma.f64 (/.f64 alpha beta) -1/2 1) 2) 0) (-.f64 (fma.f64 (/.f64 alpha beta) -1/2 1) 0))
(pow.f64 (fma.f64 (/.f64 alpha beta) -1/2 1) 1)
(pow.f64 (cbrt.f64 (fma.f64 (/.f64 alpha beta) -1/2 1)) 3)
(pow.f64 (pow.f64 (fma.f64 (/.f64 alpha beta) -1/2 1) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (/.f64 alpha beta) -1/2 1)) 2)
(sqrt.f64 (pow.f64 (fma.f64 (/.f64 alpha beta) -1/2 1) 2))
(log.f64 (exp.f64 (fma.f64 (/.f64 alpha beta) -1/2 1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 alpha beta) -1/2 1))))
(cbrt.f64 (pow.f64 (fma.f64 (/.f64 alpha beta) -1/2 1) 3))
(expm1.f64 (log1p.f64 (fma.f64 (/.f64 alpha beta) -1/2 1)))
(log1p.f64 (expm1.f64 (fma.f64 (/.f64 alpha beta) -1/2 1)))
(exp.f64 (log1p.f64 (*.f64 (/.f64 alpha beta) -1/2)))
(exp.f64 (*.f64 (log1p.f64 (*.f64 (/.f64 alpha beta) -1/2)) 1))
(fma.f64 1 (*.f64 (/.f64 alpha beta) -1/2) 1)
(fma.f64 1 (fma.f64 (/.f64 alpha beta) -1/2 1) 0)
(fma.f64 (/.f64 alpha beta) -1/2 1)
(fma.f64 -1/2 (/.f64 alpha beta) 1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 alpha beta) -1/2 1)) 2) (cbrt.f64 (fma.f64 (/.f64 alpha beta) -1/2 1)) 0)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 alpha beta) -1/2)) 2) (cbrt.f64 (*.f64 (/.f64 alpha beta) -1/2)) 1)
(fma.f64 (sqrt.f64 (fma.f64 (/.f64 alpha beta) -1/2 1)) (sqrt.f64 (fma.f64 (/.f64 alpha beta) -1/2 1)) 0)
(fma.f64 (sqrt.f64 (*.f64 (/.f64 alpha beta) -1/2)) (sqrt.f64 (*.f64 (/.f64 alpha beta) -1/2)) 1)
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(+.f64 0 (/.f64 beta (+.f64 beta 2)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2)))) 1)
(*.f64 1 (/.f64 beta (+.f64 beta 2)))
(*.f64 beta (/.f64 1 (+.f64 beta 2)))
(*.f64 (/.f64 beta (+.f64 beta 2)) 1)
(*.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta 2))))
(*.f64 (pow.f64 (cbrt.f64 beta) 2) (/.f64 (cbrt.f64 beta) (+.f64 beta 2)))
(*.f64 (pow.f64 (cbrt.f64 beta) 2) (*.f64 (cbrt.f64 beta) (/.f64 1 (+.f64 beta 2))))
(*.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (sqrt.f64 (/.f64 beta (+.f64 beta 2))))
(*.f64 (sqrt.f64 beta) (/.f64 (sqrt.f64 beta) (+.f64 beta 2)))
(*.f64 (sqrt.f64 beta) (*.f64 (sqrt.f64 beta) (/.f64 1 (+.f64 beta 2))))
(*.f64 (neg.f64 beta) (/.f64 1 (neg.f64 (+.f64 beta 2))))
(*.f64 (/.f64 1 (+.f64 beta 2)) beta)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (+.f64 beta 2)))
(*.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 beta 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 beta (cbrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta 2))) (/.f64 beta (sqrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (cbrt.f64 (/.f64 beta (+.f64 beta 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 beta 2))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 beta (+.f64 (pow.f64 beta 3) 8)) (+.f64 4 (*.f64 beta (-.f64 beta 2))))
(*.f64 (/.f64 beta (-.f64 4 (pow.f64 beta 2))) (-.f64 2 beta))
(pow.f64 (/.f64 beta (+.f64 beta 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 3)
(pow.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 2)
(pow.f64 (/.f64 (+.f64 beta 2) beta) -1)
(neg.f64 (/.f64 beta (neg.f64 (+.f64 beta 2))))
(neg.f64 (/.f64 (neg.f64 beta) (+.f64 beta 2)))
(sqrt.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2))
(log.f64 (exp.f64 (/.f64 beta (+.f64 beta 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 beta (+.f64 beta 2)))))
(cbrt.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))))
(log1p.f64 (expm1.f64 (/.f64 beta (+.f64 beta 2))))
(exp.f64 (log.f64 (/.f64 beta (+.f64 beta 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 beta (+.f64 beta 2))) 1))
(fma.f64 1 (/.f64 beta (+.f64 beta 2)) 0)
(fma.f64 beta (/.f64 1 (+.f64 beta 2)) 0)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 0)
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 0)
(+.f64 (/.f64 (fma.f64 beta 2 2) alpha) 0)
(+.f64 0 (/.f64 (fma.f64 beta 2 2) alpha))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 beta 2 2) alpha))) 1)
(*.f64 1 (/.f64 (fma.f64 beta 2 2) alpha))
(*.f64 (fma.f64 beta 2 2) (/.f64 1 alpha))
(*.f64 (/.f64 (fma.f64 beta 2 2) alpha) 1)
(*.f64 (cbrt.f64 (/.f64 (fma.f64 beta 2 2) alpha)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 beta 2 2) alpha)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 beta 2 2) alpha)) 2) (cbrt.f64 (/.f64 (fma.f64 beta 2 2) alpha)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 beta 2 2)) 2) (/.f64 (cbrt.f64 (fma.f64 beta 2 2)) alpha))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 beta 2 2)) 2) (*.f64 (cbrt.f64 (fma.f64 beta 2 2)) (/.f64 1 alpha)))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 beta 2 2) alpha)) (sqrt.f64 (/.f64 (fma.f64 beta 2 2) alpha)))
(*.f64 (sqrt.f64 (fma.f64 beta 2 2)) (/.f64 (sqrt.f64 (fma.f64 beta 2 2)) alpha))
(*.f64 (sqrt.f64 (fma.f64 beta 2 2)) (*.f64 (sqrt.f64 (fma.f64 beta 2 2)) (/.f64 1 alpha)))
(*.f64 (neg.f64 (fma.f64 beta 2 2)) (/.f64 1 (neg.f64 alpha)))
(*.f64 (/.f64 1 alpha) (fma.f64 beta 2 2))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (fma.f64 beta 2 2) (cbrt.f64 alpha)))
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (fma.f64 beta 2 2) (sqrt.f64 alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 beta 2 2)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 beta 2 2)) alpha))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 beta 2 2)) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (fma.f64 beta 2 2) alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 beta 2 2)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (fma.f64 beta 2 2)) (sqrt.f64 alpha)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 beta 2 2)) 1) (/.f64 (sqrt.f64 (fma.f64 beta 2 2)) alpha))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 beta 2 2)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (fma.f64 beta 2 2)) (cbrt.f64 alpha)))
(pow.f64 (/.f64 (fma.f64 beta 2 2) alpha) 1)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 beta 2 2) alpha)) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 beta 2 2) alpha) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 beta 2 2) alpha)) 2)
(pow.f64 (/.f64 alpha (fma.f64 beta 2 2)) -1)
(neg.f64 (/.f64 (fma.f64 beta 2 2) (neg.f64 alpha)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 beta 2 2)) alpha))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 beta 2 2) alpha) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 beta 2 2) alpha)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 beta 2 2) alpha))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 beta 2 2) alpha) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 beta 2 2) 3) (pow.f64 alpha 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 beta 2 2) alpha)))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 beta 2 2) alpha)))
(exp.f64 (log.f64 (/.f64 (fma.f64 beta 2 2) alpha)))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 beta 2 2) alpha)) 1))
(fma.f64 1 (/.f64 (fma.f64 beta 2 2) alpha) 0)
(fma.f64 (fma.f64 beta 2 2) (/.f64 1 alpha) 0)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 beta 2 2) alpha)) 2) (cbrt.f64 (/.f64 (fma.f64 beta 2 2) alpha)) 0)
(fma.f64 (sqrt.f64 (/.f64 (fma.f64 beta 2 2) alpha)) (sqrt.f64 (/.f64 (fma.f64 beta 2 2) alpha)) 0)
Outputs
(-.f64 1 (/.f64 alpha (+.f64 2 alpha)))
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(-.f64 (+.f64 1 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 alpha (+.f64 2 alpha)))
(+.f64 1 (-.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)))) (/.f64 alpha (+.f64 alpha 2))))
(-.f64 (fma.f64 beta (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) 1) (/.f64 alpha (+.f64 alpha 2)))
(-.f64 (+.f64 1 (+.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha)))
(+.f64 1 (-.f64 (fma.f64 beta (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (pow.f64 beta 2) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))))) (/.f64 alpha (+.f64 alpha 2))))
(+.f64 1 (-.f64 (fma.f64 beta (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (pow.f64 beta 2) (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))))) (/.f64 alpha (+.f64 alpha 2))))
(-.f64 (+.f64 1 (+.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))))))) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 1 (fma.f64 beta (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 (pow.f64 beta 2) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4))))))) (/.f64 alpha (+.f64 alpha 2)))
(-.f64 (+.f64 (fma.f64 beta (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) 1) (fma.f64 (pow.f64 beta 2) (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)))))) (/.f64 alpha (+.f64 alpha 2)))
2
(+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)))
(+.f64 2 (neg.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta)))
(-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))
(-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(+.f64 2 (-.f64 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) (*.f64 alpha (/.f64 (+.f64 alpha 2) (pow.f64 beta 2)))) (neg.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2)))))
(+.f64 2 (+.f64 (-.f64 (*.f64 alpha (/.f64 (+.f64 alpha 2) (pow.f64 beta 2))) (/.f64 (fma.f64 alpha 2 2) beta)) (/.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 (*.f64 alpha (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 (fma.f64 alpha 2 2) beta)) (/.f64 (*.f64 alpha (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 (+.f64 alpha 2) (neg.f64 alpha)) beta)))
(-.f64 2 (/.f64 (+.f64 (+.f64 alpha 2) alpha) beta))
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 2 alpha) (*.f64 -1 alpha)) beta)) (+.f64 (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))
(+.f64 2 (fma.f64 -1 (/.f64 (-.f64 (+.f64 alpha 2) (neg.f64 alpha)) beta) (+.f64 (*.f64 alpha (/.f64 (+.f64 alpha 2) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2)))))
(+.f64 (-.f64 2 (/.f64 (+.f64 (+.f64 alpha 2) alpha) beta)) (fma.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 (+.f64 alpha 2) (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 (fma.f64 alpha (/.f64 (+.f64 alpha 2) (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2))) (/.f64 (+.f64 (+.f64 alpha 2) alpha) beta)) (/.f64 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 (+.f64 alpha 2) alpha)) (pow.f64 beta 3))))
(+.f64 1 (/.f64 beta (+.f64 2 beta)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta))))
(+.f64 1 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (+.f64 2 beta)))) (/.f64 beta (+.f64 2 beta))))
(+.f64 1 (-.f64 (/.f64 beta (+.f64 2 beta)) (*.f64 alpha (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (+.f64 2 beta))))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (+.f64 (*.f64 (pow.f64 alpha 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 3))))) (/.f64 beta (+.f64 2 beta)))))
(+.f64 1 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (+.f64 2 beta)))) (fma.f64 (pow.f64 alpha 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3))) (/.f64 beta (+.f64 2 beta)))))
(+.f64 1 (fma.f64 (neg.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 beta (pow.f64 (+.f64 2 beta) 3))) (/.f64 beta (+.f64 2 beta)))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))) (+.f64 (*.f64 (pow.f64 alpha 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 3))))) (/.f64 beta (+.f64 2 beta))))))
(+.f64 1 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (+.f64 2 beta)))) (fma.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4)))) (fma.f64 (pow.f64 alpha 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3))) (/.f64 beta (+.f64 2 beta))))))
(+.f64 (-.f64 1 (*.f64 alpha (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (+.f64 2 beta))))) (-.f64 (fma.f64 (pow.f64 alpha 2) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 beta (pow.f64 (+.f64 2 beta) 3))) (/.f64 beta (+.f64 2 beta))) (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))))
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (fma.f64 beta 2 2) alpha)
(/.f64 (fma.f64 2 beta 2) alpha)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))) (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2)))
(-.f64 (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) (/.f64 (*.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))))) (+.f64 (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 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 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)))))
(*.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 (+.f64 2 beta) (+.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 (+.f64 beta (+.f64 2 beta)) alpha) (/.f64 (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2))) (fma.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 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) (fma.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 (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)))
1
(+.f64 1 (/.f64 beta (+.f64 2 alpha)))
(+.f64 1 (/.f64 beta (+.f64 alpha 2)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 beta (+.f64 2 alpha))))
(+.f64 1 (fma.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 beta (+.f64 alpha 2))))
(+.f64 1 (-.f64 (/.f64 beta (+.f64 alpha 2)) (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 2))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (/.f64 beta (+.f64 2 alpha)) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3)))))
(+.f64 1 (+.f64 (fma.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 beta (+.f64 alpha 2))) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))))
(+.f64 1 (+.f64 (-.f64 (/.f64 beta (+.f64 alpha 2)) (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))))
2
(+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)))
(+.f64 2 (neg.f64 (/.f64 (+.f64 alpha 2) beta)))
(-.f64 2 (/.f64 (+.f64 alpha 2) beta))
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(+.f64 2 (fma.f64 -1 (/.f64 (+.f64 alpha 2) beta) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2))))
(+.f64 (-.f64 2 (/.f64 (+.f64 alpha 2) beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2)))
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))
(+.f64 2 (fma.f64 -1 (/.f64 (+.f64 alpha 2) beta) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2)))))
(+.f64 (-.f64 2 (/.f64 (+.f64 alpha 2) beta)) (-.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))))
2
(+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)))
(+.f64 2 (neg.f64 (/.f64 (+.f64 alpha 2) beta)))
(-.f64 2 (/.f64 (+.f64 alpha 2) beta))
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(+.f64 2 (fma.f64 -1 (/.f64 (+.f64 alpha 2) beta) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2))))
(+.f64 (-.f64 2 (/.f64 (+.f64 alpha 2) beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2)))
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))
(+.f64 2 (fma.f64 -1 (/.f64 (+.f64 alpha 2) beta) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2)))))
(+.f64 (-.f64 2 (/.f64 (+.f64 alpha 2) beta)) (-.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))))
(+.f64 1 (/.f64 beta (+.f64 2 beta)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 2 beta) 2))) (/.f64 beta (+.f64 2 beta))))
(+.f64 1 (fma.f64 -1 (*.f64 alpha (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (/.f64 beta (+.f64 2 beta))))
(+.f64 1 (-.f64 (/.f64 beta (+.f64 2 beta)) (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 2 beta) 2))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 2 beta) 2))) (+.f64 (/.f64 beta (+.f64 2 beta)) (/.f64 (*.f64 (pow.f64 alpha 2) beta) (pow.f64 (+.f64 2 beta) 3)))))
(+.f64 1 (fma.f64 -1 (*.f64 alpha (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (+.f64 (*.f64 (pow.f64 alpha 2) (/.f64 beta (pow.f64 (+.f64 2 beta) 3))) (/.f64 beta (+.f64 2 beta)))))
(+.f64 (-.f64 1 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 2 beta) 2))) (fma.f64 (pow.f64 alpha 2) (/.f64 beta (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (+.f64 2 beta))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 2 beta) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 alpha 3) beta) (pow.f64 (+.f64 2 beta) 4))) (+.f64 (/.f64 beta (+.f64 2 beta)) (/.f64 (*.f64 (pow.f64 alpha 2) beta) (pow.f64 (+.f64 2 beta) 3))))))
(+.f64 1 (fma.f64 -1 (*.f64 alpha (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (fma.f64 -1 (/.f64 (*.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 4)) (+.f64 (*.f64 (pow.f64 alpha 2) (/.f64 beta (pow.f64 (+.f64 2 beta) 3))) (/.f64 beta (+.f64 2 beta))))))
(+.f64 (-.f64 1 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 2 beta) 2))) (-.f64 (fma.f64 (pow.f64 alpha 2) (/.f64 beta (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (+.f64 2 beta))) (/.f64 (*.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 4))))
1
(+.f64 1 (/.f64 beta alpha))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))) (/.f64 beta alpha)))
(+.f64 1 (fma.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2)) (/.f64 beta alpha)))
(+.f64 (-.f64 1 (*.f64 beta (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)))) (/.f64 beta alpha))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3)))))
(+.f64 1 (+.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 1 (*.f64 beta (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)))) (fma.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3)) (/.f64 beta alpha)))
1
(+.f64 1 (/.f64 beta alpha))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))) (/.f64 beta alpha)))
(+.f64 1 (fma.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2)) (/.f64 beta alpha)))
(+.f64 (-.f64 1 (*.f64 beta (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)))) (/.f64 beta alpha))
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(*.f64 (/.f64 beta (+.f64 beta 2)) 1)
(/.f64 beta (+.f64 2 beta))
(*.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2))
(/.f64 beta (+.f64 2 beta))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta 2))))
(/.f64 beta (+.f64 2 beta))
(*.f64 (pow.f64 (cbrt.f64 beta) 2) (/.f64 (cbrt.f64 beta) (+.f64 beta 2)))
(/.f64 beta (+.f64 2 beta))
(*.f64 (pow.f64 (cbrt.f64 beta) 2) (*.f64 (cbrt.f64 beta) (/.f64 1 (+.f64 beta 2))))
(/.f64 beta (+.f64 2 beta))
(*.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (sqrt.f64 (/.f64 beta (+.f64 beta 2))))
(/.f64 beta (+.f64 2 beta))
(*.f64 (sqrt.f64 beta) (/.f64 (sqrt.f64 beta) (+.f64 beta 2)))
(/.f64 beta (+.f64 2 beta))
(*.f64 (sqrt.f64 beta) (*.f64 (sqrt.f64 beta) (/.f64 1 (+.f64 beta 2))))
(/.f64 beta (+.f64 2 beta))
(*.f64 (neg.f64 beta) (/.f64 1 (neg.f64 (+.f64 beta 2))))
(/.f64 beta (+.f64 2 beta))
(*.f64 (/.f64 1 (+.f64 beta 2)) beta)
(/.f64 beta (+.f64 2 beta))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (+.f64 beta 2)))
(/.f64 beta (+.f64 2 beta))
(*.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 beta 2)))
(/.f64 beta (+.f64 2 beta))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 beta (cbrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2)) (/.f64 beta (cbrt.f64 (+.f64 2 beta))))
(/.f64 (/.f64 beta (cbrt.f64 (+.f64 2 beta))) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta 2))) (/.f64 beta (sqrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 2 beta))) (/.f64 beta (sqrt.f64 (+.f64 2 beta))))
(/.f64 (/.f64 beta (sqrt.f64 (+.f64 2 beta))) (sqrt.f64 (+.f64 2 beta)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (cbrt.f64 (/.f64 beta (+.f64 beta 2))))
(*.f64 (cbrt.f64 (/.f64 beta (+.f64 2 beta))) (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 beta 2))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 beta 2))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 beta) 2) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 2 beta)))) (sqrt.f64 (+.f64 2 beta)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 2 beta))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 2 beta))))
(*.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 2 beta))))
(*.f64 (/.f64 beta (+.f64 (pow.f64 beta 3) 8)) (+.f64 4 (*.f64 beta (-.f64 beta 2))))
(*.f64 (/.f64 beta (+.f64 (pow.f64 beta 3) 8)) (+.f64 4 (*.f64 beta (+.f64 beta -2))))
(/.f64 (*.f64 beta (fma.f64 beta (+.f64 beta -2) 4)) (+.f64 (pow.f64 beta 3) 8))
(*.f64 (/.f64 beta (-.f64 4 (pow.f64 beta 2))) (-.f64 2 beta))
(pow.f64 (/.f64 beta (+.f64 beta 2)) 1)
(/.f64 beta (+.f64 2 beta))
(pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 3)
(/.f64 beta (+.f64 2 beta))
(pow.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3) 1/3)
(/.f64 beta (+.f64 2 beta))
(pow.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 2)
(/.f64 beta (+.f64 2 beta))
(pow.f64 (/.f64 (+.f64 beta 2) beta) -1)
(/.f64 1 (/.f64 (+.f64 2 beta) beta))
(neg.f64 (/.f64 beta (neg.f64 (+.f64 beta 2))))
(/.f64 beta (+.f64 2 beta))
(neg.f64 (/.f64 (neg.f64 beta) (+.f64 beta 2)))
(/.f64 beta (+.f64 2 beta))
(sqrt.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2))
(sqrt.f64 (pow.f64 (/.f64 beta (+.f64 2 beta)) 2))
(fabs.f64 (/.f64 beta (+.f64 2 beta)))
(log.f64 (exp.f64 (/.f64 beta (+.f64 beta 2))))
(/.f64 beta (+.f64 2 beta))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 beta (+.f64 beta 2)))))
(/.f64 beta (+.f64 2 beta))
(cbrt.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3))
(/.f64 beta (+.f64 2 beta))
(cbrt.f64 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)))
(/.f64 beta (+.f64 2 beta))
(expm1.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))))
(expm1.f64 (log1p.f64 (/.f64 beta (+.f64 2 beta))))
(log1p.f64 (expm1.f64 (/.f64 beta (+.f64 beta 2))))
(/.f64 beta (+.f64 2 beta))
(exp.f64 (log.f64 (/.f64 beta (+.f64 beta 2))))
(/.f64 beta (+.f64 2 beta))
(exp.f64 (*.f64 (log.f64 (/.f64 beta (+.f64 beta 2))) 1))
(/.f64 beta (+.f64 2 beta))
(fma.f64 1 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 2 beta))
(fma.f64 beta (/.f64 1 (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 2 beta))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 0)
(/.f64 beta (+.f64 2 beta))
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 0)
(/.f64 beta (+.f64 2 beta))
(+.f64 (/.f64 (fma.f64 beta 2 2) alpha) 0)
(/.f64 (fma.f64 beta 2 2) alpha)
(/.f64 (fma.f64 2 beta 2) alpha)
(+.f64 0 (/.f64 (fma.f64 beta 2 2) alpha))
(/.f64 (fma.f64 beta 2 2) alpha)
(/.f64 (fma.f64 2 beta 2) alpha)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 beta 2 2) alpha))) 1)
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 beta 2 2) alpha)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 2 beta 2) alpha)))
(*.f64 1 (/.f64 (fma.f64 beta 2 2) alpha))
(/.f64 (fma.f64 beta 2 2) alpha)
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (fma.f64 beta 2 2) (/.f64 1 alpha))
(/.f64 (fma.f64 beta 2 2) alpha)
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (/.f64 (fma.f64 beta 2 2) alpha) 1)
(/.f64 (fma.f64 beta 2 2) alpha)
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (cbrt.f64 (/.f64 (fma.f64 beta 2 2) alpha)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 beta 2 2) alpha)) 2))
(/.f64 (fma.f64 beta 2 2) alpha)
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 beta 2 2) alpha)) 2) (cbrt.f64 (/.f64 (fma.f64 beta 2 2) alpha)))
(/.f64 (fma.f64 beta 2 2) alpha)
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 beta 2 2)) 2) (/.f64 (cbrt.f64 (fma.f64 beta 2 2)) alpha))
(/.f64 (fma.f64 beta 2 2) alpha)
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 beta 2 2)) 2) (*.f64 (cbrt.f64 (fma.f64 beta 2 2)) (/.f64 1 alpha)))
(/.f64 (fma.f64 beta 2 2) alpha)
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (sqrt.f64 (/.f64 (fma.f64 beta 2 2) alpha)) (sqrt.f64 (/.f64 (fma.f64 beta 2 2) alpha)))
(/.f64 (fma.f64 beta 2 2) alpha)
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (sqrt.f64 (fma.f64 beta 2 2)) (/.f64 (sqrt.f64 (fma.f64 beta 2 2)) alpha))
(/.f64 (fma.f64 beta 2 2) alpha)
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (sqrt.f64 (fma.f64 beta 2 2)) (*.f64 (sqrt.f64 (fma.f64 beta 2 2)) (/.f64 1 alpha)))
(/.f64 (fma.f64 beta 2 2) alpha)
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (neg.f64 (fma.f64 beta 2 2)) (/.f64 1 (neg.f64 alpha)))
(/.f64 (fma.f64 beta 2 2) alpha)
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (/.f64 1 alpha) (fma.f64 beta 2 2))
(/.f64 (fma.f64 beta 2 2) alpha)
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (fma.f64 beta 2 2) (cbrt.f64 alpha)))
(/.f64 (/.f64 (fma.f64 2 beta 2) (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2))
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (fma.f64 beta 2 2) (sqrt.f64 alpha)))
(/.f64 (/.f64 (fma.f64 2 beta 2) (sqrt.f64 alpha)) (sqrt.f64 alpha))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 beta 2 2)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 beta 2 2)) alpha))
(/.f64 (fma.f64 beta 2 2) alpha)
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 beta 2 2)) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (fma.f64 beta 2 2) alpha)))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 beta 2 2) alpha)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 beta 2 2)) 2) (pow.f64 (cbrt.f64 alpha) 2)))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (pow.f64 (cbrt.f64 alpha) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 beta 2 2)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (fma.f64 beta 2 2)) (sqrt.f64 alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (fma.f64 2 beta 2)) (sqrt.f64 alpha)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 beta 2 2)) 1) (/.f64 (sqrt.f64 (fma.f64 beta 2 2)) alpha))
(/.f64 (fma.f64 beta 2 2) alpha)
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (/.f64 (sqrt.f64 (fma.f64 beta 2 2)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (fma.f64 beta 2 2)) (cbrt.f64 alpha)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) (cbrt.f64 alpha)))
(pow.f64 (/.f64 (fma.f64 beta 2 2) alpha) 1)
(/.f64 (fma.f64 beta 2 2) alpha)
(/.f64 (fma.f64 2 beta 2) alpha)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 beta 2 2) alpha)) 3)
(/.f64 (fma.f64 beta 2 2) alpha)
(/.f64 (fma.f64 2 beta 2) alpha)
(pow.f64 (pow.f64 (/.f64 (fma.f64 beta 2 2) alpha) 3) 1/3)
(/.f64 (fma.f64 beta 2 2) alpha)
(/.f64 (fma.f64 2 beta 2) alpha)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 beta 2 2) alpha)) 2)
(/.f64 (fma.f64 beta 2 2) alpha)
(/.f64 (fma.f64 2 beta 2) alpha)
(pow.f64 (/.f64 alpha (fma.f64 beta 2 2)) -1)
(/.f64 1 (/.f64 alpha (fma.f64 beta 2 2)))
(/.f64 1 (/.f64 alpha (fma.f64 2 beta 2)))
(neg.f64 (/.f64 (fma.f64 beta 2 2) (neg.f64 alpha)))
(/.f64 (fma.f64 beta 2 2) alpha)
(/.f64 (fma.f64 2 beta 2) alpha)
(neg.f64 (/.f64 (neg.f64 (fma.f64 beta 2 2)) alpha))
(/.f64 (fma.f64 beta 2 2) alpha)
(/.f64 (fma.f64 2 beta 2) alpha)
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 beta 2 2) alpha) 2))
(fabs.f64 (/.f64 (fma.f64 2 beta 2) alpha))
(log.f64 (exp.f64 (/.f64 (fma.f64 beta 2 2) alpha)))
(/.f64 (fma.f64 beta 2 2) alpha)
(/.f64 (fma.f64 2 beta 2) alpha)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 beta 2 2) alpha))))
(/.f64 (fma.f64 beta 2 2) alpha)
(/.f64 (fma.f64 2 beta 2) alpha)
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 beta 2 2) alpha) 3))
(/.f64 (fma.f64 beta 2 2) alpha)
(/.f64 (fma.f64 2 beta 2) alpha)
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 beta 2 2) 3) (pow.f64 alpha 3)))
(/.f64 (fma.f64 beta 2 2) alpha)
(/.f64 (fma.f64 2 beta 2) alpha)
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 beta 2 2) alpha)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 2 beta 2) alpha)))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 beta 2 2) alpha)))
(/.f64 (fma.f64 beta 2 2) alpha)
(/.f64 (fma.f64 2 beta 2) alpha)
(exp.f64 (log.f64 (/.f64 (fma.f64 beta 2 2) alpha)))
(/.f64 (fma.f64 beta 2 2) alpha)
(/.f64 (fma.f64 2 beta 2) alpha)
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 beta 2 2) alpha)) 1))
(/.f64 (fma.f64 beta 2 2) alpha)
(/.f64 (fma.f64 2 beta 2) alpha)
(fma.f64 1 (/.f64 (fma.f64 beta 2 2) alpha) 0)
(/.f64 (fma.f64 beta 2 2) alpha)
(/.f64 (fma.f64 2 beta 2) alpha)
(fma.f64 (fma.f64 beta 2 2) (/.f64 1 alpha) 0)
(/.f64 (fma.f64 beta 2 2) alpha)
(/.f64 (fma.f64 2 beta 2) alpha)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 beta 2 2) alpha)) 2) (cbrt.f64 (/.f64 (fma.f64 beta 2 2) alpha)) 0)
(/.f64 (fma.f64 beta 2 2) alpha)
(/.f64 (fma.f64 2 beta 2) alpha)
(fma.f64 (sqrt.f64 (/.f64 (fma.f64 beta 2 2) alpha)) (sqrt.f64 (/.f64 (fma.f64 beta 2 2) alpha)) 0)
(/.f64 (fma.f64 beta 2 2) alpha)
(/.f64 (fma.f64 2 beta 2) alpha)

eval309.0ms (2.8%)

Compiler

Compiled 16810 to 12027 computations (28.5% saved)

prune121.0ms (1.1%)

Pruning

21 alts after pruning (12 fresh and 9 done)

PrunedKeptTotal
New6137620
Fresh257
Picked055
Done044
Total61521636
Accuracy
100.0%
Counts
636 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.3%
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 (+.f64 alpha 2) beta))) 2) (*.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))) (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))))) (+.f64 (/.f64 beta (+.f64 (+.f64 alpha 2) beta)) (+.f64 1 (/.f64 alpha (+.f64 (+.f64 alpha 2) beta))))) 2)
44.9%
(/.f64 (/.f64 (-.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2)) (+.f64 beta (+.f64 alpha 2))) (*.f64 (-.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) alpha)) (*.f64 (-.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (+.f64 alpha 2)))) 2)
27.7%
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
21.1%
(/.f64 (/.f64 2 alpha) 2)
25.4%
(/.f64 (-.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) (/.f64 (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2))) 2)
77.4%
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
19.5%
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (pow.f64 alpha 2))) 2)
76.4%
(/.f64 (-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 2)
36.7%
(/.f64 (-.f64 2 (*.f64 2 (/.f64 alpha beta))) 2)
48.0%
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
46.4%
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
76.3%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
74.6%
(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
76.3%
(/.f64 (+.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) -1) 2)
43.7%
(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
10.8%
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
10.6%
(/.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 beta 2 2) alpha) 3)) 2)
3.7%
(-.f64 1/2 1/2)
25.1%
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (+.f64 2 beta) 2) (-.f64 (*.f64 -1 beta) (+.f64 2 beta))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha)) (*.f64 1/2 (/.f64 (*.f64 (+.f64 2 beta) (-.f64 (*.f64 -1 beta) (+.f64 2 beta))) (pow.f64 alpha 2)))))
36.6%
(+.f64 1 (*.f64 (/.f64 alpha beta) -1/2))
41.1%
1
Compiler

Compiled 631 to 481 computations (23.8% saved)

localize386.0ms (3.4%)

Localize:

Found 7 expressions with local error:

NewAccuracyProgram
100.0%
(-.f64 (/.f64 2 alpha) (/.f64 4 (pow.f64 alpha 2)))
99.7%
(/.f64 4 (pow.f64 alpha 2))
100.0%
(-.f64 2 (*.f64 2 (/.f64 alpha beta)))
100.0%
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 (+.f64 alpha 2) beta))) 2) (*.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))) (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))))) (+.f64 (/.f64 beta (+.f64 (+.f64 alpha 2) beta)) (+.f64 1 (/.f64 alpha (+.f64 (+.f64 alpha 2) beta)))))
100.0%
(/.f64 beta (+.f64 (+.f64 alpha 2) beta))
99.9%
(*.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))) (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))))
76.4%
(-.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 (+.f64 alpha 2) beta))) 2) (*.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))) (/.f64 alpha (-.f64 -2 (+.f64 alpha beta)))))
Compiler

Compiled 315 to 199 computations (36.8% saved)

series66.0ms (0.6%)

Counts
7 → 132
Calls

36 calls:

TimeVariablePointExpression
7.0ms
beta
@0
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 (+.f64 alpha 2) beta))) 2) (*.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))) (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))))) (+.f64 (/.f64 beta (+.f64 (+.f64 alpha 2) beta)) (+.f64 1 (/.f64 alpha (+.f64 (+.f64 alpha 2) beta)))))
5.0ms
alpha
@0
(/.f64 4 (pow.f64 alpha 2))
5.0ms
alpha
@0
(*.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))) (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))))
4.0ms
alpha
@-inf
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 (+.f64 alpha 2) beta))) 2) (*.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))) (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))))) (+.f64 (/.f64 beta (+.f64 (+.f64 alpha 2) beta)) (+.f64 1 (/.f64 alpha (+.f64 (+.f64 alpha 2) beta)))))
4.0ms
alpha
@inf
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 (+.f64 alpha 2) beta))) 2) (*.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))) (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))))) (+.f64 (/.f64 beta (+.f64 (+.f64 alpha 2) beta)) (+.f64 1 (/.f64 alpha (+.f64 (+.f64 alpha 2) beta)))))

rewrite125.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
314×log1p-expm1-u
314×expm1-log1p-u
306×add-cube-cbrt
304×add-exp-log
303×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032364
1666364
Stop Event
node limit
Counts
7 → 231
Calls
Call 1
Inputs
(-.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 (+.f64 alpha 2) beta))) 2) (*.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))) (/.f64 alpha (-.f64 -2 (+.f64 alpha beta)))))
(*.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))) (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))))
(/.f64 beta (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 (+.f64 alpha 2) beta))) 2) (*.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))) (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))))) (+.f64 (/.f64 beta (+.f64 (+.f64 alpha 2) beta)) (+.f64 1 (/.f64 alpha (+.f64 (+.f64 alpha 2) beta)))))
(-.f64 2 (*.f64 2 (/.f64 alpha beta)))
(/.f64 4 (pow.f64 alpha 2))
(-.f64 (/.f64 2 alpha) (/.f64 4 (pow.f64 alpha 2)))
Outputs
(+.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (neg.f64 (pow.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))) 2)))
(+.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (*.f64 (neg.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha)))) (/.f64 alpha (-.f64 -2 (+.f64 beta alpha)))))
(+.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (pow.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))) 2)) 0)
(+.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (pow.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))) 2)) (fma.f64 (neg.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha)))) (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))) (pow.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))) 2)))
(+.f64 (fma.f64 1 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (neg.f64 (*.f64 (pow.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))) 2) 1))) (fma.f64 (neg.f64 (pow.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))) 2)) 1 (*.f64 (pow.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))) 2) 1)))
(+.f64 (fma.f64 1 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (neg.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))) 2)) (cbrt.f64 (pow.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))) 4))))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))) 2))) (cbrt.f64 (pow.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))) 4)) (*.f64 (cbrt.f64 (pow.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))) 2)) (cbrt.f64 (pow.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))) 4)))))
(+.f64 (fma.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (*.f64 (pow.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))) 2) 1))) (fma.f64 (neg.f64 (pow.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))) 2)) 1 (*.f64 (pow.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))) 2) 1)))
(+.f64 (fma.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))) 2)) (cbrt.f64 (pow.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))) 4))))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))) 2))) (cbrt.f64 (pow.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))) 4)) (*.f64 (cbrt.f64 (pow.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))) 2)) (cbrt.f64 (pow.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))) 4)))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 4)) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) 2) (neg.f64 (*.f64 (pow.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))) 2) 1))) (fma.f64 (neg.f64 (pow.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))) 2)) 1 (*.f64 (pow.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))) 2) 1)))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 4)) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) 2) (neg.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))) 2)) (cbrt.f64 (pow.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))) 4))))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))) 2))) (cbrt.f64 (pow.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))) 4)) (*.f64 (cbrt.f64 (pow.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))) 2)) (cbrt.f64 (pow.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))) 4)))))
(*.f64 1 (-.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (pow.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (pow.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))) 2))) 2) (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (pow.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))) 2))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (pow.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))) 2))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (pow.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))) 2))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 6) (pow.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))) 6)) (+.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 4) (+.f64 (pow.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))) 4) (pow.f64 (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (-.f64 -2 (+.f64 beta alpha)))) 2))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 4) (pow.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))) 4)) (+.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (pow.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 6) (pow.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))) 6))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 4) (+.f64 (pow.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))) 4) (pow.f64 (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (-.f64 -2 (+.f64 beta alpha)))) 2)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 4) (pow.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))) 4))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (pow.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))) 2))))
(pow.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (pow.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))) 2)) 1)
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (pow.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))) 2))) 3)
(pow.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (pow.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))) 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (pow.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))) 2))) 2)
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (pow.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))) 2)) 2))
(log.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (pow.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))) 2))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (pow.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))) 2)))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (pow.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))) 2)) 3))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (pow.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))) 2))))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (pow.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))) 2))))
(exp.f64 (log.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (pow.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))) 2))))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (pow.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))) 2))) 1))
(fma.f64 1 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (neg.f64 (pow.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))) 2)))
(fma.f64 1 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (*.f64 (neg.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha)))) (/.f64 alpha (-.f64 -2 (+.f64 beta alpha)))))
(fma.f64 1 (-.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (pow.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))) 2)) 0)
(fma.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (pow.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))) 2)))
(fma.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (*.f64 (neg.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha)))) (/.f64 alpha (-.f64 -2 (+.f64 beta alpha)))))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 4)) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) 2) (neg.f64 (pow.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))) 2)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 4)) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) 2) (*.f64 (neg.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha)))) (/.f64 alpha (-.f64 -2 (+.f64 beta alpha)))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (pow.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))) 2))) 2) (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (pow.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))) 2))) 0)
(fma.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (pow.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))) 2))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (pow.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))) 2))) 0)
(+.f64 (pow.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))) 2) 0)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))) 2))) 1)
(/.f64 1 (*.f64 (/.f64 (-.f64 -2 (+.f64 beta alpha)) alpha) (/.f64 (-.f64 -2 (+.f64 beta alpha)) alpha)))
(/.f64 alpha (*.f64 (/.f64 (-.f64 -2 (+.f64 beta alpha)) alpha) (-.f64 -2 (+.f64 beta alpha))))
(/.f64 (pow.f64 alpha 2) (pow.f64 (-.f64 -2 (+.f64 beta alpha)) 2))
(/.f64 (neg.f64 (pow.f64 alpha 2)) (neg.f64 (pow.f64 (-.f64 -2 (+.f64 beta alpha)) 2)))
(/.f64 (*.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))) alpha) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (*.f64 alpha (/.f64 alpha (-.f64 -2 (+.f64 beta alpha)))) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (*.f64 (neg.f64 alpha) (neg.f64 alpha)) (*.f64 (neg.f64 (-.f64 -2 (+.f64 beta alpha))) (neg.f64 (-.f64 -2 (+.f64 beta alpha)))))
(/.f64 (*.f64 alpha 1) (*.f64 (-.f64 -2 (+.f64 beta alpha)) (/.f64 (-.f64 -2 (+.f64 beta alpha)) alpha)))
(/.f64 (*.f64 (neg.f64 alpha) 1) (*.f64 (neg.f64 (-.f64 -2 (+.f64 beta alpha))) (/.f64 (-.f64 -2 (+.f64 beta alpha)) alpha)))
(/.f64 (*.f64 1 (neg.f64 alpha)) (*.f64 (/.f64 (-.f64 -2 (+.f64 beta alpha)) alpha) (neg.f64 (-.f64 -2 (+.f64 beta alpha)))))
(/.f64 (*.f64 alpha (neg.f64 alpha)) (*.f64 (-.f64 -2 (+.f64 beta alpha)) (neg.f64 (-.f64 -2 (+.f64 beta alpha)))))
(/.f64 (*.f64 (neg.f64 alpha) alpha) (*.f64 (neg.f64 (-.f64 -2 (+.f64 beta alpha))) (-.f64 -2 (+.f64 beta alpha))))
(/.f64 (neg.f64 (*.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))) alpha)) (neg.f64 (-.f64 -2 (+.f64 beta alpha))))
(/.f64 (neg.f64 (*.f64 alpha (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))))) (neg.f64 (-.f64 -2 (+.f64 beta alpha))))
(pow.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))) 2)
(pow.f64 (pow.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))) 2) 1)
(pow.f64 (cbrt.f64 (pow.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))) 2)) 3)
(pow.f64 (pow.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))) 6) 1/3)
(sqrt.f64 (pow.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))) 4))
(log.f64 (exp.f64 (pow.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))) 2))))
(cbrt.f64 (pow.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))) 6))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))) 2)))
(exp.f64 (log.f64 (pow.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))) 2)))
(exp.f64 (*.f64 (log.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha)))) 2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))) 2)) 1))
(fma.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))) 2) 0)
(fma.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))) (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))) 0)
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))) 4)) (cbrt.f64 (pow.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))) 2)) 0)
(+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 0)
(-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 1)
(*.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))
(*.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 beta (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 beta (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(*.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)))))
(*.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 beta (+.f64 alpha 2))))
(*.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)))))
(pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1)
(pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 3)
(pow.f64 (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2)
(pow.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) 1/3)
(pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) -1)
(sqrt.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2))
(log.f64 (exp.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))))
(cbrt.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3))
(expm1.f64 (log1p.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(log1p.f64 (expm1.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (log.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (*.f64 (log.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 1))
(fma.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 0)
(fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 0)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 0)
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 0)
(+.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (pow.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))) 2)) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))) 0)
(-.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))) (/.f64 (pow.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))) 2) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (pow.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))) 2)) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))))) 1)
(*.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (pow.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))) 2)) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))))
(*.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (pow.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))) 2)) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))))
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(/.f64 (fma.f64 2 (pow.f64 alpha 2) (neg.f64 (*.f64 alpha 4))) (pow.f64 alpha 3))
(/.f64 (-.f64 (/.f64 8 (pow.f64 alpha 3)) (*.f64 64 (pow.f64 (pow.f64 alpha -2) 3))) (+.f64 (*.f64 4 (pow.f64 alpha -2)) (+.f64 (/.f64 16 (pow.f64 alpha 4)) (/.f64 8 (pow.f64 alpha 3)))))
(/.f64 (-.f64 (*.f64 4 (pow.f64 alpha -2)) (/.f64 16 (pow.f64 alpha 4))) (+.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2))))
(/.f64 (-.f64 (*.f64 1 (/.f64 (pow.f64 alpha 2) 4)) (*.f64 (/.f64 alpha 2) 1)) (*.f64 (/.f64 alpha 2) (/.f64 (pow.f64 alpha 2) 4)))
(/.f64 (-.f64 (pow.f64 alpha 2) (*.f64 (/.f64 alpha 2) 4)) (*.f64 (/.f64 alpha 2) (pow.f64 alpha 2)))
(/.f64 (-.f64 (*.f64 1 (neg.f64 (pow.f64 alpha 2))) (*.f64 (/.f64 alpha 2) -4)) (*.f64 (/.f64 alpha 2) (neg.f64 (pow.f64 alpha 2))))
(/.f64 (-.f64 (*.f64 2 (/.f64 (pow.f64 alpha 2) 4)) (*.f64 alpha 1)) (*.f64 alpha (/.f64 (pow.f64 alpha 2) 4)))
(/.f64 (-.f64 (*.f64 2 (neg.f64 (pow.f64 alpha 2))) (*.f64 alpha -4)) (*.f64 alpha (neg.f64 (pow.f64 alpha 2))))
(/.f64 (-.f64 (*.f64 -2 (/.f64 (pow.f64 alpha 2) 4)) (*.f64 (neg.f64 alpha) 1)) (*.f64 (neg.f64 alpha) (/.f64 (pow.f64 alpha 2) 4)))
(/.f64 (-.f64 (*.f64 -2 (pow.f64 alpha 2)) (*.f64 (neg.f64 alpha) 4)) (*.f64 (neg.f64 alpha) (pow.f64 alpha 2)))
(/.f64 (-.f64 (*.f64 -2 (neg.f64 (pow.f64 alpha 2))) (*.f64 (neg.f64 alpha) -4)) (*.f64 (neg.f64 alpha) (neg.f64 (pow.f64 alpha 2))))
(/.f64 (neg.f64 (fma.f64 2 (pow.f64 alpha 2) (neg.f64 (*.f64 alpha 4)))) (neg.f64 (pow.f64 alpha 3)))
(/.f64 (neg.f64 (-.f64 (/.f64 8 (pow.f64 alpha 3)) (*.f64 64 (pow.f64 (pow.f64 alpha -2) 3)))) (neg.f64 (+.f64 (*.f64 4 (pow.f64 alpha -2)) (+.f64 (/.f64 16 (pow.f64 alpha 4)) (/.f64 8 (pow.f64 alpha 3))))))
(/.f64 (neg.f64 (-.f64 (*.f64 4 (pow.f64 alpha -2)) (/.f64 16 (pow.f64 alpha 4)))) (neg.f64 (+.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2)))))
(pow.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2))) 1)
(pow.f64 (cbrt.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2)))) 3)
(pow.f64 (pow.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2)))) 2)
(sqrt.f64 (pow.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2))) 2))
(log.f64 (exp.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2))))))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2))) 3))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2)))))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2)))))
(exp.f64 (log.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2)))) 1))
(fma.f64 1 (/.f64 2 alpha) (neg.f64 (*.f64 4 (pow.f64 alpha -2))))
(fma.f64 1 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2))) 0)
(fma.f64 2 (/.f64 1 alpha) (neg.f64 (*.f64 4 (pow.f64 alpha -2))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2) (cbrt.f64 (/.f64 2 alpha)) (neg.f64 (*.f64 4 (pow.f64 alpha -2))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2)))) 2) (cbrt.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2)))) 0)
(fma.f64 (sqrt.f64 (/.f64 2 alpha)) (sqrt.f64 (/.f64 2 alpha)) (neg.f64 (*.f64 4 (pow.f64 alpha -2))))
(fma.f64 (sqrt.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2)))) (sqrt.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2)))) 0)

simplify400.0ms (3.6%)

Algorithm
egg-herbie
Rules
1646×times-frac
1381×add0
620×+-commutative
614×*-commutative
426×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0124540768
1520740331
Stop Event
node limit
Counts
363 → 537
Calls
Call 1
Inputs
(-.f64 1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)))
(-.f64 (+.f64 1 (*.f64 beta (+.f64 (*.f64 2 (/.f64 1 (+.f64 2 alpha))) (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4))))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)))
(-.f64 (+.f64 1 (+.f64 (*.f64 beta (+.f64 (*.f64 2 (/.f64 1 (+.f64 2 alpha))) (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4)))) (*.f64 (pow.f64 beta 2) (-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2)) (pow.f64 (+.f64 2 alpha) 6))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)))
(-.f64 (+.f64 1 (+.f64 (*.f64 beta (+.f64 (*.f64 2 (/.f64 1 (+.f64 2 alpha))) (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4)))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2)) (pow.f64 (+.f64 2 alpha) 6))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 4 (*.f64 2 alpha)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2)) (pow.f64 (+.f64 2 alpha) 6))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)))) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 6)))))))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)))
4
(+.f64 4 (*.f64 -4 (/.f64 (+.f64 2 alpha) beta)))
(-.f64 (+.f64 4 (+.f64 (*.f64 -4 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (*.f64 4 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))) (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)))
(-.f64 (+.f64 4 (+.f64 (*.f64 -4 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (*.f64 -4 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))) (+.f64 (*.f64 4 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (+.f64 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 4 (*.f64 2 alpha))) (pow.f64 beta 3)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))))) (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)))
4
(+.f64 4 (*.f64 -4 (/.f64 (+.f64 2 alpha) beta)))
(-.f64 (+.f64 4 (+.f64 (*.f64 -4 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (*.f64 4 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))) (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)))
(-.f64 (+.f64 4 (+.f64 (*.f64 -4 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (*.f64 (pow.f64 alpha 2) (+.f64 2 alpha))) (*.f64 6 (pow.f64 (+.f64 2 alpha) 3))) (pow.f64 beta 3))) (+.f64 (*.f64 4 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))) (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)))
(pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2)
(+.f64 (*.f64 -2 (/.f64 (*.f64 alpha (*.f64 beta (+.f64 1 (/.f64 beta (+.f64 2 beta))))) (pow.f64 (+.f64 2 beta) 2))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2))
(+.f64 (*.f64 -2 (/.f64 (*.f64 alpha (*.f64 beta (+.f64 1 (/.f64 beta (+.f64 2 beta))))) (pow.f64 (+.f64 2 beta) 2))) (+.f64 (*.f64 (pow.f64 alpha 2) (-.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 beta (+.f64 1 (/.f64 beta (+.f64 2 beta)))) (pow.f64 (+.f64 2 beta) 3))) (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 beta) 4))) (/.f64 1 (pow.f64 (+.f64 2 beta) 2)))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 alpha (*.f64 beta (+.f64 1 (/.f64 beta (+.f64 2 beta))))) (pow.f64 (+.f64 2 beta) 2))) (+.f64 (*.f64 (pow.f64 alpha 2) (-.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 beta (+.f64 1 (/.f64 beta (+.f64 2 beta)))) (pow.f64 (+.f64 2 beta) 3))) (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 beta) 4))) (/.f64 1 (pow.f64 (+.f64 2 beta) 2)))) (+.f64 (*.f64 (pow.f64 alpha 3) (+.f64 (*.f64 -2 (/.f64 (*.f64 beta (+.f64 1 (/.f64 beta (+.f64 2 beta)))) (pow.f64 (+.f64 2 beta) 4))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 beta) 5))) (+.f64 (*.f64 2 (/.f64 beta (pow.f64 (+.f64 2 beta) 4))) (*.f64 4 (/.f64 1 (pow.f64 (+.f64 2 beta) 4))))))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2))))
(/.f64 (+.f64 4 (*.f64 4 beta)) alpha)
(+.f64 (*.f64 -2 (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 4 (/.f64 beta alpha)) (+.f64 (*.f64 4 (/.f64 1 alpha)) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)))))))
(+.f64 (*.f64 -2 (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 2 beta)) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 (*.f64 -1 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2)) (pow.f64 (+.f64 2 beta) 2))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 4 (*.f64 2 beta))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3))) (+.f64 (*.f64 4 (/.f64 beta alpha)) (+.f64 (*.f64 4 (/.f64 1 alpha)) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)))))))))))
(+.f64 (*.f64 -2 (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (*.f64 -2 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 3)) (pow.f64 alpha 4))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 2 beta)) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 (*.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 (*.f64 -1 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2)) (pow.f64 (+.f64 2 beta) 2)))) (*.f64 -1 (*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 4 (*.f64 2 beta)))))) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 (*.f64 -1 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2)) (pow.f64 (+.f64 2 beta) 2))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 4 (*.f64 2 beta))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 (*.f64 -1 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2)) (pow.f64 (+.f64 2 beta) 2))) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 4))) (+.f64 (*.f64 4 (/.f64 beta alpha)) (+.f64 (*.f64 4 (/.f64 1 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 4)) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))))))))))))))))
(*.f64 -1 (/.f64 (+.f64 (*.f64 -2 beta) (*.f64 -2 (+.f64 2 beta))) alpha))
(+.f64 (*.f64 -4 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 -2 (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 beta) (*.f64 -2 (+.f64 2 beta))) alpha)) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))))))
(+.f64 (*.f64 -4 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 -2 (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 beta) (*.f64 -2 (+.f64 2 beta))) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (*.f64 beta (pow.f64 (+.f64 2 beta) 2))) (+.f64 (*.f64 2 (*.f64 (+.f64 2 beta) (+.f64 (*.f64 -4 (pow.f64 (+.f64 2 beta) 2)) (pow.f64 (+.f64 2 beta) 2)))) (+.f64 (*.f64 2 (*.f64 (pow.f64 beta 2) (+.f64 2 beta))) (*.f64 2 (pow.f64 (+.f64 2 beta) 3))))) (pow.f64 alpha 3))) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)))))))
(+.f64 (*.f64 -4 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 -2 (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (*.f64 -2 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 3)) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 (*.f64 -4 (pow.f64 (+.f64 2 beta) 2)) (pow.f64 (+.f64 2 beta) 2))) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 beta) (*.f64 -2 (+.f64 2 beta))) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (*.f64 beta (pow.f64 (+.f64 2 beta) 2))) (+.f64 (*.f64 2 (*.f64 (+.f64 2 beta) (+.f64 (*.f64 -4 (pow.f64 (+.f64 2 beta) 2)) (pow.f64 (+.f64 2 beta) 2)))) (+.f64 (*.f64 2 (*.f64 (pow.f64 beta 2) (+.f64 2 beta))) (*.f64 2 (pow.f64 (+.f64 2 beta) 3))))) (pow.f64 alpha 3))) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 2 beta) (+.f64 (*.f64 2 (*.f64 (+.f64 2 beta) (+.f64 (*.f64 -4 (pow.f64 (+.f64 2 beta) 2)) (pow.f64 (+.f64 2 beta) 2)))) (*.f64 2 (pow.f64 (+.f64 2 beta) 3)))) (pow.f64 alpha 4))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 4))) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 4)) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))))))))))))
(/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 beta) 2))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (*.f64 2 (/.f64 beta (pow.f64 (+.f64 2 beta) 4))) (*.f64 4 (/.f64 1 (pow.f64 (+.f64 2 beta) 4)))))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 beta) 2)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (*.f64 2 (/.f64 beta (pow.f64 (+.f64 2 beta) 4))) (*.f64 4 (/.f64 1 (pow.f64 (+.f64 2 beta) 4)))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 4) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 (*.f64 2 (/.f64 beta (pow.f64 (+.f64 2 beta) 4))) (*.f64 4 (/.f64 1 (pow.f64 (+.f64 2 beta) 4))))) (pow.f64 (+.f64 2 beta) 2))) (/.f64 1 (pow.f64 (+.f64 2 beta) 4))))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 beta) 2))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (*.f64 2 (/.f64 beta (pow.f64 (+.f64 2 beta) 4))) (*.f64 4 (/.f64 1 (pow.f64 (+.f64 2 beta) 4)))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 4) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 (*.f64 2 (/.f64 beta (pow.f64 (+.f64 2 beta) 4))) (*.f64 4 (/.f64 1 (pow.f64 (+.f64 2 beta) 4))))) (pow.f64 (+.f64 2 beta) 2))) (/.f64 1 (pow.f64 (+.f64 2 beta) 4))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 5) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 (*.f64 2 (/.f64 beta (pow.f64 (+.f64 2 beta) 4))) (*.f64 4 (/.f64 1 (pow.f64 (+.f64 2 beta) 4))))) (pow.f64 (+.f64 2 beta) 2))) (/.f64 1 (pow.f64 (+.f64 2 beta) 4)))) (pow.f64 (+.f64 2 beta) 2))) (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (/.f64 beta (pow.f64 (+.f64 2 beta) 4))) (*.f64 4 (/.f64 1 (pow.f64 (+.f64 2 beta) 4)))) (pow.f64 (+.f64 2 beta) 2)))))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 beta) 2)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) alpha)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) alpha)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2)) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2)))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 (*.f64 -1 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2)) (pow.f64 (+.f64 2 beta) 2)))) (*.f64 -1 (*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 4 (*.f64 2 beta))))) (pow.f64 alpha 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2)) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))))))
1
(+.f64 1 (*.f64 -2 (/.f64 (+.f64 2 beta) alpha)))
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 (+.f64 2 beta) alpha)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -4 (pow.f64 (+.f64 2 beta) 2)) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2)))))
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 (+.f64 2 beta) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -4 (pow.f64 (+.f64 2 beta) 2)) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 2 beta) (+.f64 (*.f64 -4 (pow.f64 (+.f64 2 beta) 2)) (pow.f64 (+.f64 2 beta) 2))) (pow.f64 alpha 3))) (*.f64 2 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)))))))
(/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 alpha 2) (*.f64 beta (+.f64 4 (*.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 4))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)))
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1
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1
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(/.f64 beta (+.f64 2 beta))
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(/.f64 beta alpha)
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(/.f64 beta alpha)
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2
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2
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2
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(/.f64 (-.f64 (/.f64 8 (pow.f64 alpha 3)) (*.f64 64 (pow.f64 (pow.f64 alpha -2) 3))) (+.f64 (*.f64 4 (pow.f64 alpha -2)) (+.f64 (/.f64 16 (pow.f64 alpha 4)) (/.f64 8 (pow.f64 alpha 3)))))
(/.f64 (-.f64 (*.f64 4 (pow.f64 alpha -2)) (/.f64 16 (pow.f64 alpha 4))) (+.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2))))
(/.f64 (-.f64 (*.f64 1 (/.f64 (pow.f64 alpha 2) 4)) (*.f64 (/.f64 alpha 2) 1)) (*.f64 (/.f64 alpha 2) (/.f64 (pow.f64 alpha 2) 4)))
(/.f64 (-.f64 (pow.f64 alpha 2) (*.f64 (/.f64 alpha 2) 4)) (*.f64 (/.f64 alpha 2) (pow.f64 alpha 2)))
(/.f64 (-.f64 (*.f64 1 (neg.f64 (pow.f64 alpha 2))) (*.f64 (/.f64 alpha 2) -4)) (*.f64 (/.f64 alpha 2) (neg.f64 (pow.f64 alpha 2))))
(/.f64 (-.f64 (*.f64 2 (/.f64 (pow.f64 alpha 2) 4)) (*.f64 alpha 1)) (*.f64 alpha (/.f64 (pow.f64 alpha 2) 4)))
(/.f64 (-.f64 (*.f64 2 (neg.f64 (pow.f64 alpha 2))) (*.f64 alpha -4)) (*.f64 alpha (neg.f64 (pow.f64 alpha 2))))
(/.f64 (-.f64 (*.f64 -2 (/.f64 (pow.f64 alpha 2) 4)) (*.f64 (neg.f64 alpha) 1)) (*.f64 (neg.f64 alpha) (/.f64 (pow.f64 alpha 2) 4)))
(/.f64 (-.f64 (*.f64 -2 (pow.f64 alpha 2)) (*.f64 (neg.f64 alpha) 4)) (*.f64 (neg.f64 alpha) (pow.f64 alpha 2)))
(/.f64 (-.f64 (*.f64 -2 (neg.f64 (pow.f64 alpha 2))) (*.f64 (neg.f64 alpha) -4)) (*.f64 (neg.f64 alpha) (neg.f64 (pow.f64 alpha 2))))
(/.f64 (neg.f64 (fma.f64 2 (pow.f64 alpha 2) (neg.f64 (*.f64 alpha 4)))) (neg.f64 (pow.f64 alpha 3)))
(/.f64 (neg.f64 (-.f64 (/.f64 8 (pow.f64 alpha 3)) (*.f64 64 (pow.f64 (pow.f64 alpha -2) 3)))) (neg.f64 (+.f64 (*.f64 4 (pow.f64 alpha -2)) (+.f64 (/.f64 16 (pow.f64 alpha 4)) (/.f64 8 (pow.f64 alpha 3))))))
(/.f64 (neg.f64 (-.f64 (*.f64 4 (pow.f64 alpha -2)) (/.f64 16 (pow.f64 alpha 4)))) (neg.f64 (+.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2)))))
(pow.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2))) 1)
(pow.f64 (cbrt.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2)))) 3)
(pow.f64 (pow.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2)))) 2)
(sqrt.f64 (pow.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2))) 2))
(log.f64 (exp.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2))))))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2))) 3))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2)))))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2)))))
(exp.f64 (log.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2)))) 1))
(fma.f64 1 (/.f64 2 alpha) (neg.f64 (*.f64 4 (pow.f64 alpha -2))))
(fma.f64 1 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2))) 0)
(fma.f64 2 (/.f64 1 alpha) (neg.f64 (*.f64 4 (pow.f64 alpha -2))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2) (cbrt.f64 (/.f64 2 alpha)) (neg.f64 (*.f64 4 (pow.f64 alpha -2))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2)))) 2) (cbrt.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2)))) 0)
(fma.f64 (sqrt.f64 (/.f64 2 alpha)) (sqrt.f64 (/.f64 2 alpha)) (neg.f64 (*.f64 4 (pow.f64 alpha -2))))
(fma.f64 (sqrt.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2)))) (sqrt.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2)))) 0)
Outputs
(-.f64 1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)))
(-.f64 1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2)))
(-.f64 (+.f64 1 (*.f64 beta (+.f64 (*.f64 2 (/.f64 1 (+.f64 2 alpha))) (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4))))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)))
(+.f64 1 (-.f64 (*.f64 beta (+.f64 (/.f64 2 (+.f64 alpha 2)) (*.f64 (pow.f64 alpha 2) (/.f64 (+.f64 4 (*.f64 alpha 2)) (pow.f64 (+.f64 alpha 2) 4))))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2))))
(-.f64 (+.f64 1 (+.f64 (*.f64 beta (+.f64 (*.f64 2 (/.f64 1 (+.f64 2 alpha))) (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4)))) (*.f64 (pow.f64 beta 2) (-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2)) (pow.f64 (+.f64 2 alpha) 6))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)))
(+.f64 1 (-.f64 (fma.f64 beta (+.f64 (/.f64 2 (+.f64 alpha 2)) (*.f64 (pow.f64 alpha 2) (/.f64 (+.f64 4 (*.f64 alpha 2)) (pow.f64 (+.f64 alpha 2) 4)))) (*.f64 (pow.f64 beta 2) (-.f64 (fma.f64 -1 (*.f64 (pow.f64 alpha 2) (/.f64 (pow.f64 (+.f64 4 (*.f64 alpha 2)) 2) (pow.f64 (+.f64 alpha 2) 6))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 4))) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2))))
(+.f64 1 (-.f64 (fma.f64 beta (+.f64 (/.f64 2 (+.f64 alpha 2)) (*.f64 (pow.f64 alpha 2) (/.f64 (+.f64 4 (*.f64 alpha 2)) (pow.f64 (+.f64 alpha 2) 4)))) (*.f64 (pow.f64 beta 2) (-.f64 (-.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 4)) (*.f64 (pow.f64 alpha 2) (/.f64 (pow.f64 (+.f64 4 (*.f64 alpha 2)) 2) (pow.f64 (+.f64 alpha 2) 6)))) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2))))
(-.f64 (+.f64 1 (+.f64 (*.f64 beta (+.f64 (*.f64 2 (/.f64 1 (+.f64 2 alpha))) (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4)))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2)) (pow.f64 (+.f64 2 alpha) 6))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 4 (*.f64 2 alpha)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2)) (pow.f64 (+.f64 2 alpha) 6))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)))) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 6)))))))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)))
(+.f64 1 (-.f64 (fma.f64 beta (+.f64 (/.f64 2 (+.f64 alpha 2)) (*.f64 (pow.f64 alpha 2) (/.f64 (+.f64 4 (*.f64 alpha 2)) (pow.f64 (+.f64 alpha 2) 4)))) (fma.f64 (pow.f64 beta 2) (-.f64 (fma.f64 -1 (*.f64 (pow.f64 alpha 2) (/.f64 (pow.f64 (+.f64 4 (*.f64 alpha 2)) 2) (pow.f64 (+.f64 alpha 2) 6))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 4))) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (pow.f64 beta 3) (fma.f64 -1 (*.f64 (+.f64 4 (*.f64 alpha 2)) (/.f64 (fma.f64 -1 (*.f64 (pow.f64 alpha 2) (/.f64 (pow.f64 (+.f64 4 (*.f64 alpha 2)) 2) (pow.f64 (+.f64 alpha 2) 6))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 4))) (pow.f64 (+.f64 alpha 2) 2))) (neg.f64 (*.f64 (pow.f64 alpha 2) (/.f64 (+.f64 4 (*.f64 alpha 2)) (pow.f64 (+.f64 alpha 2) 6)))))))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2))))
(+.f64 1 (-.f64 (fma.f64 beta (+.f64 (/.f64 2 (+.f64 alpha 2)) (*.f64 (pow.f64 alpha 2) (/.f64 (+.f64 4 (*.f64 alpha 2)) (pow.f64 (+.f64 alpha 2) 4)))) (fma.f64 (pow.f64 beta 2) (-.f64 (-.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 4)) (*.f64 (pow.f64 alpha 2) (/.f64 (pow.f64 (+.f64 4 (*.f64 alpha 2)) 2) (pow.f64 (+.f64 alpha 2) 6)))) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (pow.f64 beta 3) (-.f64 (neg.f64 (*.f64 (pow.f64 alpha 2) (/.f64 (+.f64 4 (*.f64 alpha 2)) (pow.f64 (+.f64 alpha 2) 6)))) (*.f64 (+.f64 4 (*.f64 alpha 2)) (/.f64 (-.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 4)) (*.f64 (pow.f64 alpha 2) (/.f64 (pow.f64 (+.f64 4 (*.f64 alpha 2)) 2) (pow.f64 (+.f64 alpha 2) 6)))) (pow.f64 (+.f64 alpha 2) 2))))))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2))))
4
(+.f64 4 (*.f64 -4 (/.f64 (+.f64 2 alpha) beta)))
(+.f64 4 (*.f64 -4 (/.f64 (+.f64 alpha 2) beta)))
(-.f64 (+.f64 4 (+.f64 (*.f64 -4 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (*.f64 4 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))) (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)))
(+.f64 4 (-.f64 (fma.f64 -4 (/.f64 (+.f64 alpha 2) beta) (*.f64 5 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2)))) (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))))
(-.f64 (+.f64 4 (+.f64 (*.f64 -4 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (*.f64 -4 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))) (+.f64 (*.f64 4 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (+.f64 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 4 (*.f64 2 alpha))) (pow.f64 beta 3)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))))) (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)))
(+.f64 4 (-.f64 (fma.f64 -4 (/.f64 (+.f64 alpha 2) beta) (fma.f64 -4 (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)) (fma.f64 -2 (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)) (fma.f64 4 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2)) (+.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2)) (*.f64 (pow.f64 alpha 2) (/.f64 (+.f64 4 (*.f64 alpha 2)) (pow.f64 beta 3)))))))) (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))))
4
(+.f64 4 (*.f64 -4 (/.f64 (+.f64 2 alpha) beta)))
(+.f64 4 (*.f64 -4 (/.f64 (+.f64 alpha 2) beta)))
(-.f64 (+.f64 4 (+.f64 (*.f64 -4 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (*.f64 4 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))) (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)))
(+.f64 4 (-.f64 (fma.f64 -4 (/.f64 (+.f64 alpha 2) beta) (*.f64 5 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2)))) (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))))
(-.f64 (+.f64 4 (+.f64 (*.f64 -4 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (*.f64 (pow.f64 alpha 2) (+.f64 2 alpha))) (*.f64 6 (pow.f64 (+.f64 2 alpha) 3))) (pow.f64 beta 3))) (+.f64 (*.f64 4 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))) (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)))
(+.f64 4 (-.f64 (fma.f64 -4 (/.f64 (+.f64 alpha 2) beta) (fma.f64 -1 (/.f64 (fma.f64 -2 (*.f64 (pow.f64 alpha 2) (+.f64 alpha 2)) (*.f64 6 (pow.f64 (+.f64 alpha 2) 3))) (pow.f64 beta 3)) (*.f64 5 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2))))) (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))))
(+.f64 4 (-.f64 (fma.f64 -4 (/.f64 (+.f64 alpha 2) beta) (-.f64 (*.f64 5 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2))) (/.f64 (fma.f64 -2 (*.f64 (pow.f64 alpha 2) (+.f64 alpha 2)) (*.f64 6 (pow.f64 (+.f64 alpha 2) 3))) (pow.f64 beta 3)))) (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))))
(pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2)
(+.f64 (*.f64 -2 (/.f64 (*.f64 alpha (*.f64 beta (+.f64 1 (/.f64 beta (+.f64 2 beta))))) (pow.f64 (+.f64 2 beta) 2))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2))
(fma.f64 -2 (*.f64 alpha (/.f64 (*.f64 beta (+.f64 1 (/.f64 beta (+.f64 2 beta)))) (pow.f64 (+.f64 2 beta) 2))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2))
(+.f64 (*.f64 -2 (/.f64 (*.f64 alpha (*.f64 beta (+.f64 1 (/.f64 beta (+.f64 2 beta))))) (pow.f64 (+.f64 2 beta) 2))) (+.f64 (*.f64 (pow.f64 alpha 2) (-.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 beta (+.f64 1 (/.f64 beta (+.f64 2 beta)))) (pow.f64 (+.f64 2 beta) 3))) (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 beta) 4))) (/.f64 1 (pow.f64 (+.f64 2 beta) 2)))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2)))
(fma.f64 -2 (*.f64 alpha (/.f64 (*.f64 beta (+.f64 1 (/.f64 beta (+.f64 2 beta)))) (pow.f64 (+.f64 2 beta) 2))) (fma.f64 (pow.f64 alpha 2) (-.f64 (fma.f64 2 (*.f64 beta (/.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (pow.f64 (+.f64 2 beta) 3))) (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 beta) 4))) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 alpha (*.f64 beta (+.f64 1 (/.f64 beta (+.f64 2 beta))))) (pow.f64 (+.f64 2 beta) 2))) (+.f64 (*.f64 (pow.f64 alpha 2) (-.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 beta (+.f64 1 (/.f64 beta (+.f64 2 beta)))) (pow.f64 (+.f64 2 beta) 3))) (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 beta) 4))) (/.f64 1 (pow.f64 (+.f64 2 beta) 2)))) (+.f64 (*.f64 (pow.f64 alpha 3) (+.f64 (*.f64 -2 (/.f64 (*.f64 beta (+.f64 1 (/.f64 beta (+.f64 2 beta)))) (pow.f64 (+.f64 2 beta) 4))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 beta) 5))) (+.f64 (*.f64 2 (/.f64 beta (pow.f64 (+.f64 2 beta) 4))) (*.f64 4 (/.f64 1 (pow.f64 (+.f64 2 beta) 4))))))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2))))
(fma.f64 -2 (*.f64 alpha (/.f64 (*.f64 beta (+.f64 1 (/.f64 beta (+.f64 2 beta)))) (pow.f64 (+.f64 2 beta) 2))) (fma.f64 (pow.f64 alpha 2) (-.f64 (fma.f64 2 (*.f64 beta (/.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (pow.f64 (+.f64 2 beta) 3))) (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 beta) 4))) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))) (fma.f64 (pow.f64 alpha 3) (fma.f64 -2 (*.f64 beta (/.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (pow.f64 (+.f64 2 beta) 4))) (fma.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 beta) 5)) (fma.f64 2 (/.f64 beta (pow.f64 (+.f64 2 beta) 4)) (/.f64 4 (pow.f64 (+.f64 2 beta) 4))))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2))))
(/.f64 (+.f64 4 (*.f64 4 beta)) alpha)
(/.f64 (+.f64 4 (*.f64 beta 4)) alpha)
(+.f64 (*.f64 -2 (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 4 (/.f64 beta alpha)) (+.f64 (*.f64 4 (/.f64 1 alpha)) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)))))))
(fma.f64 -2 (*.f64 beta (/.f64 (+.f64 2 beta) (pow.f64 alpha 2))) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2) (pow.f64 alpha 2)) (fma.f64 4 (/.f64 beta alpha) (+.f64 (+.f64 (/.f64 4 alpha) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))))))
(fma.f64 -2 (*.f64 beta (/.f64 (+.f64 2 beta) (pow.f64 alpha 2))) (-.f64 (fma.f64 4 (/.f64 beta alpha) (+.f64 (+.f64 (/.f64 4 alpha) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)))) (/.f64 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2) (pow.f64 alpha 2))))
(+.f64 (*.f64 -2 (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 2 beta)) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 (*.f64 -1 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2)) (pow.f64 (+.f64 2 beta) 2))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 4 (*.f64 2 beta))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3))) (+.f64 (*.f64 4 (/.f64 beta alpha)) (+.f64 (*.f64 4 (/.f64 1 alpha)) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)))))))))))
(fma.f64 -2 (*.f64 beta (/.f64 (+.f64 2 beta) (pow.f64 alpha 2))) (fma.f64 -2 (*.f64 (pow.f64 beta 2) (/.f64 (+.f64 2 beta) (pow.f64 alpha 3))) (fma.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (/.f64 (fma.f64 -1 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3))) (fma.f64 -1 (*.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 alpha 3))) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2) (pow.f64 alpha 2)) (fma.f64 2 (*.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3))) (fma.f64 4 (/.f64 beta alpha) (+.f64 (+.f64 (/.f64 4 alpha) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))))))))))
(fma.f64 -2 (*.f64 beta (/.f64 (+.f64 2 beta) (pow.f64 alpha 2))) (fma.f64 -2 (*.f64 (pow.f64 beta 2) (/.f64 (+.f64 2 beta) (pow.f64 alpha 3))) (-.f64 (-.f64 (-.f64 (fma.f64 2 (*.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3))) (fma.f64 4 (/.f64 beta alpha) (+.f64 (+.f64 (/.f64 4 alpha) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))))) (/.f64 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2) (pow.f64 alpha 2))) (*.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 alpha 3)))) (*.f64 (+.f64 4 (*.f64 2 beta)) (/.f64 (-.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 (+.f64 4 (*.f64 2 beta)) 2)) (pow.f64 alpha 3))))))
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1
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(-.f64 1 (/.f64 (+.f64 4 (*.f64 2 beta)) alpha))
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1
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(/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2))
(/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2))
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(/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))
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(/.f64 beta (+.f64 2 alpha))
(/.f64 beta (+.f64 alpha 2))
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(-.f64 (/.f64 beta (+.f64 alpha 2)) (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 2)))
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(+.f64 (fma.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 beta (+.f64 alpha 2))) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))
(+.f64 (-.f64 (/.f64 beta (+.f64 alpha 2)) (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 4) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 (/.f64 beta (+.f64 2 alpha)) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3)))))
(fma.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 2)) (fma.f64 -1 (/.f64 (pow.f64 beta 4) (pow.f64 (+.f64 alpha 2) 4)) (+.f64 (/.f64 beta (+.f64 alpha 2)) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))))
(-.f64 (-.f64 (+.f64 (/.f64 beta (+.f64 alpha 2)) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (/.f64 (pow.f64 beta 4) (pow.f64 (+.f64 alpha 2) 4))) (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 2)))
1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)))
(+.f64 1 (neg.f64 (/.f64 (+.f64 alpha 2) beta)))
(-.f64 1 (/.f64 (+.f64 alpha 2) beta))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(+.f64 1 (fma.f64 -1 (/.f64 (+.f64 alpha 2) beta) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2))))
(+.f64 1 (-.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 2) beta)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))
(+.f64 1 (fma.f64 -1 (/.f64 (+.f64 alpha 2) beta) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2)))))
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1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)))
(+.f64 1 (neg.f64 (/.f64 (+.f64 alpha 2) beta)))
(-.f64 1 (/.f64 (+.f64 alpha 2) beta))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(+.f64 1 (fma.f64 -1 (/.f64 (+.f64 alpha 2) beta) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2))))
(+.f64 1 (-.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 2) beta)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))
(+.f64 1 (fma.f64 -1 (/.f64 (+.f64 alpha 2) beta) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2)))))
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(/.f64 beta (+.f64 2 beta))
(+.f64 (*.f64 -1 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 2 beta) 2))) (/.f64 beta (+.f64 2 beta)))
(fma.f64 -1 (*.f64 alpha (/.f64 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))))
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(+.f64 (*.f64 -1 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 2 beta) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 alpha 3) beta) (pow.f64 (+.f64 2 beta) 4))) (+.f64 (/.f64 beta (+.f64 2 beta)) (/.f64 (*.f64 (pow.f64 alpha 2) beta) (pow.f64 (+.f64 2 beta) 3)))))
(fma.f64 -1 (*.f64 alpha (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (fma.f64 -1 (/.f64 (*.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 4)) (+.f64 (/.f64 beta (+.f64 2 beta)) (/.f64 (*.f64 (pow.f64 alpha 2) beta) (pow.f64 (+.f64 2 beta) 3)))))
(-.f64 (-.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) (/.f64 (*.f64 (pow.f64 alpha 2) beta) (pow.f64 (+.f64 2 beta) 3))) (/.f64 (*.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 4))) (*.f64 alpha (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))
(/.f64 beta alpha)
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(fma.f64 -1 (*.f64 beta (/.f64 (+.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))))
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(fma.f64 -1 (*.f64 beta (/.f64 (+.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 (+.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 (/.f64 (+.f64 2 beta) (pow.f64 alpha 2))))
(/.f64 beta alpha)
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(fma.f64 -1 (*.f64 beta (/.f64 (+.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))))
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(fma.f64 -1 (*.f64 beta (/.f64 (+.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 (+.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 (/.f64 (+.f64 2 beta) (pow.f64 alpha 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 1 (/.f64 alpha (+.f64 2 alpha))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 beta (-.f64 (+.f64 (*.f64 2 (/.f64 1 (*.f64 (+.f64 1 (/.f64 alpha (+.f64 2 alpha))) (+.f64 2 alpha)))) (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 4 (*.f64 2 alpha))) (*.f64 (+.f64 1 (/.f64 alpha (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4)))) (/.f64 (*.f64 (-.f64 1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2))) (-.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 (+.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2)))) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 2 alpha))))) (/.f64 (pow.f64 alpha 2) (*.f64 (+.f64 1 (/.f64 alpha (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))))
(-.f64 (fma.f64 beta (+.f64 (/.f64 2 (*.f64 (+.f64 alpha 2) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (-.f64 (*.f64 (pow.f64 alpha 2) (/.f64 (+.f64 4 (*.f64 alpha 2)) (*.f64 (pow.f64 (+.f64 alpha 2) 4) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))) (*.f64 (-.f64 1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) (pow.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2))))) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (/.f64 (pow.f64 alpha 2) (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))))
(-.f64 (+.f64 (*.f64 beta (-.f64 (+.f64 (*.f64 2 (/.f64 1 (*.f64 (+.f64 1 (/.f64 alpha (+.f64 2 alpha))) (+.f64 2 alpha)))) (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 4 (*.f64 2 alpha))) (*.f64 (+.f64 1 (/.f64 alpha (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4)))) (/.f64 (*.f64 (-.f64 1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2))) (-.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 (+.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2)))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2)) (*.f64 (+.f64 1 (/.f64 alpha (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 6)))) (/.f64 (pow.f64 alpha 2) (*.f64 (+.f64 1 (/.f64 alpha (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (-.f64 1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 (+.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 1 (/.f64 alpha (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 2 (/.f64 1 (*.f64 (+.f64 1 (/.f64 alpha (+.f64 2 alpha))) (+.f64 2 alpha)))) (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 4 (*.f64 2 alpha))) (*.f64 (+.f64 1 (/.f64 alpha (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4)))) (/.f64 (*.f64 (-.f64 1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2))) (-.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 (+.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2))) (-.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 1 (/.f64 alpha (+.f64 2 alpha)))))))) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 2 alpha)))))) (/.f64 (pow.f64 alpha 2) (*.f64 (+.f64 1 (/.f64 alpha (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))))
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2
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(/.f64 (*.f64 1/2 (+.f64 4 (*.f64 beta 4))) alpha)
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(*.f64 -1/2 (/.f64 (+.f64 (*.f64 -2 beta) (*.f64 -2 (+.f64 2 beta))) alpha))
(*.f64 (/.f64 (*.f64 -2 (+.f64 beta (+.f64 2 beta))) alpha) -1/2)
(*.f64 (*.f64 -2 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) -1/2)
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -2 beta) (*.f64 -2 (+.f64 2 beta))) alpha)) (*.f64 1/2 (/.f64 (+.f64 (*.f64 -4 (pow.f64 (+.f64 2 beta) 2)) (+.f64 (*.f64 -2 (*.f64 beta (+.f64 2 beta))) (+.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 beta) 2)))) (pow.f64 alpha 2)))) (*.f64 1/4 (/.f64 (*.f64 (+.f64 2 (+.f64 beta (*.f64 -1 beta))) (+.f64 (*.f64 -2 beta) (*.f64 -2 (+.f64 2 beta)))) (pow.f64 alpha 2))))
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(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (+.f64 (*.f64 -2 (*.f64 beta (pow.f64 (+.f64 2 beta) 2))) (+.f64 (*.f64 2 (*.f64 (+.f64 2 beta) (+.f64 (*.f64 -4 (pow.f64 (+.f64 2 beta) 2)) (pow.f64 (+.f64 2 beta) 2)))) (+.f64 (*.f64 2 (*.f64 (pow.f64 beta 2) (+.f64 2 beta))) (*.f64 2 (pow.f64 (+.f64 2 beta) 3)))))) (+.f64 (*.f64 1/4 (*.f64 (+.f64 (*.f64 -2 beta) (*.f64 -2 (+.f64 2 beta))) (-.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))))) (*.f64 1/2 (*.f64 (+.f64 2 (+.f64 beta (*.f64 -1 beta))) (-.f64 (*.f64 1/2 (+.f64 (*.f64 -4 (pow.f64 (+.f64 2 beta) 2)) (+.f64 (*.f64 -2 (*.f64 beta (+.f64 2 beta))) (+.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 beta) 2))))) (*.f64 1/4 (*.f64 (+.f64 2 (+.f64 beta (*.f64 -1 beta))) (+.f64 (*.f64 -2 beta) (*.f64 -2 (+.f64 2 beta)))))))))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -2 beta) (*.f64 -2 (+.f64 2 beta))) alpha)) (*.f64 1/2 (/.f64 (+.f64 (*.f64 -4 (pow.f64 (+.f64 2 beta) 2)) (+.f64 (*.f64 -2 (*.f64 beta (+.f64 2 beta))) (+.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 beta) 2)))) (pow.f64 alpha 2))))) (*.f64 1/4 (/.f64 (*.f64 (+.f64 2 (+.f64 beta (*.f64 -1 beta))) (+.f64 (*.f64 -2 beta) (*.f64 -2 (+.f64 2 beta)))) (pow.f64 alpha 2))))
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2
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(exp.f64 (log.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2)))))
(+.f64 (/.f64 2 alpha) (*.f64 -4 (pow.f64 alpha -2)))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2)))) 1))
(+.f64 (/.f64 2 alpha) (*.f64 -4 (pow.f64 alpha -2)))
(fma.f64 1 (/.f64 2 alpha) (neg.f64 (*.f64 4 (pow.f64 alpha -2))))
(fma.f64 1 (/.f64 2 alpha) (*.f64 -4 (pow.f64 alpha -2)))
(fma.f64 1 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2))) 0)
(+.f64 (/.f64 2 alpha) (*.f64 -4 (pow.f64 alpha -2)))
(fma.f64 2 (/.f64 1 alpha) (neg.f64 (*.f64 4 (pow.f64 alpha -2))))
(+.f64 (/.f64 2 alpha) (*.f64 -4 (pow.f64 alpha -2)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2) (cbrt.f64 (/.f64 2 alpha)) (neg.f64 (*.f64 4 (pow.f64 alpha -2))))
(+.f64 (/.f64 2 alpha) (*.f64 -4 (pow.f64 alpha -2)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2)))) 2) (cbrt.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2)))) 0)
(+.f64 (/.f64 2 alpha) (*.f64 -4 (pow.f64 alpha -2)))
(fma.f64 (sqrt.f64 (/.f64 2 alpha)) (sqrt.f64 (/.f64 2 alpha)) (neg.f64 (*.f64 4 (pow.f64 alpha -2))))
(+.f64 (/.f64 2 alpha) (*.f64 -4 (pow.f64 alpha -2)))
(fma.f64 (sqrt.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2)))) (sqrt.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2)))) 0)
(+.f64 (/.f64 2 alpha) (*.f64 -4 (pow.f64 alpha -2)))

eval965.0ms (8.6%)

Compiler

Compiled 41174 to 30649 computations (25.6% saved)

prune495.0ms (4.4%)

Pruning

22 alts after pruning (9 fresh and 13 done)

PrunedKeptTotal
New6172619
Fresh077
Picked145
Done099
Total61822640
Accuracy
100.0%
Counts
640 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.3%
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 (+.f64 alpha 2) beta))) 2) (*.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))) (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))))) (+.f64 (/.f64 beta (+.f64 (+.f64 alpha 2) beta)) (+.f64 1 (/.f64 alpha (+.f64 (+.f64 alpha 2) beta))))) 2)
26.2%
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 (+.f64 alpha 2) beta))) 2) (*.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))) (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))))) (+.f64 (/.f64 beta alpha) (+.f64 1 (/.f64 alpha (+.f64 (+.f64 alpha 2) beta))))) 2)
44.9%
(/.f64 (/.f64 (-.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2)) (+.f64 beta (+.f64 alpha 2))) (*.f64 (-.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) alpha)) (*.f64 (-.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (+.f64 alpha 2)))) 2)
27.7%
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
21.1%
(/.f64 (/.f64 2 alpha) 2)
25.4%
(/.f64 (-.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) (/.f64 (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2))) 2)
77.4%
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
19.5%
(/.f64 (-.f64 (/.f64 2 alpha) (*.f64 (/.f64 2 alpha) (/.f64 2 alpha))) 2)
76.4%
(/.f64 (-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 2)
36.7%
(/.f64 (-.f64 2 (*.f64 2 (/.f64 alpha beta))) 2)
48.0%
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
46.4%
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
76.3%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
74.6%
(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
76.3%
(/.f64 (+.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) -1) 2)
43.7%
(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
10.8%
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
10.6%
(/.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 beta 2 2) alpha) 3)) 2)
3.7%
(-.f64 1/2 1/2)
25.1%
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (+.f64 2 beta) 2) (-.f64 (*.f64 -1 beta) (+.f64 2 beta))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha)) (*.f64 1/2 (/.f64 (*.f64 (+.f64 2 beta) (-.f64 (*.f64 -1 beta) (+.f64 2 beta))) (pow.f64 alpha 2)))))
36.6%
(+.f64 1 (*.f64 (/.f64 alpha beta) -1/2))
41.1%
1
Compiler

Compiled 882 to 644 computations (27% saved)

regimes116.0ms (1%)

Counts
28 → 2
Calls
Call 1
Inputs
1
(-.f64 1/2 1/2)
(/.f64 (/.f64 2 alpha) 2)
(+.f64 1 (*.f64 (/.f64 alpha beta) -1/2))
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 beta)))
(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
(/.f64 (-.f64 2 (*.f64 2 (/.f64 alpha beta))) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(/.f64 (-.f64 2 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta)) 2)
(-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (-.f64 (/.f64 2 alpha) (*.f64 (/.f64 2 alpha) (/.f64 2 alpha))) 2)
(/.f64 (+.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) -1) 2)
(/.f64 (-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (pow.f64 alpha 2))) 2)
(/.f64 (-.f64 (*.f64 (-.f64 -2 beta) (/.f64 (+.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 2)
(/.f64 (-.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) (/.f64 (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2))) 2)
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 (+.f64 alpha 2) beta))) 2) (*.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))) (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))))) (+.f64 (/.f64 beta alpha) (+.f64 1 (/.f64 alpha (+.f64 (+.f64 alpha 2) beta))))) 2)
(/.f64 (/.f64 (-.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2)) (+.f64 beta (+.f64 alpha 2))) (*.f64 (-.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) alpha)) (*.f64 (-.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (+.f64 alpha 2)))) 2)
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 (+.f64 alpha 2) beta))) 2) (*.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))) (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))))) (+.f64 (/.f64 beta (+.f64 (+.f64 alpha 2) beta)) (+.f64 1 (/.f64 alpha (+.f64 (+.f64 alpha 2) beta))))) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)) (/.f64 (+.f64 2 beta) alpha))) 2)
(/.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 beta 2 2) alpha) 3)) 2)
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (+.f64 2 beta) 2) (-.f64 (*.f64 -1 beta) (+.f64 2 beta))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha)) (*.f64 1/2 (/.f64 (*.f64 (+.f64 2 beta) (-.f64 (*.f64 -1 beta) (+.f64 2 beta))) (pow.f64 alpha 2)))))
Outputs
(/.f64 (-.f64 (*.f64 (-.f64 -2 beta) (/.f64 (+.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 2)
(/.f64 (-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 2)
Calls

5 calls:

60.0ms
beta
25.0ms
alpha
15.0ms
(/.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
92.9%2alpha
81.6%5beta
99.9%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
99.9%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
99.9%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
Compiler

Compiled 45 to 31 computations (31.1% saved)

regimes24.0ms (0.2%)

Counts
20 → 2
Calls
Call 1
Inputs
1
(-.f64 1/2 1/2)
(/.f64 (/.f64 2 alpha) 2)
(+.f64 1 (*.f64 (/.f64 alpha beta) -1/2))
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 beta)))
(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
(/.f64 (-.f64 2 (*.f64 2 (/.f64 alpha beta))) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(/.f64 (-.f64 2 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta)) 2)
(-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (-.f64 (/.f64 2 alpha) (*.f64 (/.f64 2 alpha) (/.f64 2 alpha))) 2)
(/.f64 (+.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) -1) 2)
(/.f64 (-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (pow.f64 alpha 2))) 2)
Outputs
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(/.f64 (-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 2)
Calls

3 calls:

12.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
5.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
5.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
Results
AccuracySegmentsBranch
99.9%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
99.9%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
99.9%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
Compiler

Compiled 39 to 27 computations (30.8% saved)

regimes22.0ms (0.2%)

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

regimes92.0ms (0.8%)

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

91.0ms
alpha
Results
AccuracySegmentsBranch
92.1%2alpha
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes23.0ms (0.2%)

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

1 calls:

22.0ms
alpha
Results
AccuracySegmentsBranch
85.3%2alpha
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes48.0ms (0.4%)

Counts
8 → 5
Calls
Call 1
Inputs
1
(-.f64 1/2 1/2)
(/.f64 (/.f64 2 alpha) 2)
(+.f64 1 (*.f64 (/.f64 alpha beta) -1/2))
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 beta)))
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 (/.f64 beta alpha)) 2)
1
Calls

2 calls:

26.0ms
beta
21.0ms
alpha
Results
AccuracySegmentsBranch
78.6%5beta
67.3%4alpha
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes22.0ms (0.2%)

Counts
6 → 5
Calls
Call 1
Inputs
1
(-.f64 1/2 1/2)
(/.f64 (/.f64 2 alpha) 2)
(+.f64 1 (*.f64 (/.f64 alpha beta) -1/2))
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
Outputs
(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
1
Calls

1 calls:

22.0ms
beta
Results
AccuracySegmentsBranch
78.6%5beta
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes26.0ms (0.2%)

Counts
5 → 3
Calls
Call 1
Inputs
1
(-.f64 1/2 1/2)
(/.f64 (/.f64 2 alpha) 2)
(+.f64 1 (*.f64 (/.f64 alpha beta) -1/2))
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
Outputs
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
1
Calls

2 calls:

13.0ms
alpha
13.0ms
beta
Results
AccuracySegmentsBranch
51.8%2alpha
54.2%3beta
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes9.0ms (0.1%)

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

1 calls:

8.0ms
beta
Results
AccuracySegmentsBranch
51.9%2beta
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes10.0ms (0.1%)

Accuracy

Total -24.2b remaining (-64.1%)

Threshold costs -24.2b (-64.1%)

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

2 calls:

7.0ms
beta
3.0ms
alpha
Results
AccuracySegmentsBranch
41.1%1alpha
41.1%1beta
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999957842018682
-0.4365882329993
Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999999999999997
-0.9999957842018682
Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999999999999997
-0.9999957842018682
Compiler

Compiled 20 to 15 computations (25% saved)

bsearch16.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
16.0ms
999478143947.6426
5417494852672721.0
Results
13.0ms112×256valid
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 212 to 175 computations (17.5% saved)

bsearch24.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
24.0ms
999478143947.6426
5417494852672721.0
Results
20.0ms112×256valid
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 180 to 151 computations (16.1% saved)

bsearch149.0ms (1.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
28.0ms
7.104592962983848e+47
9.602991321771864e+48
30.0ms
0.4914938981956313
644152804867.4188
30.0ms
-8.409491357698851e-176
-2.9641868880713745e-182
61.0ms
-5.5612887843551696e-126
-4.48402904542346e-141
Results
63.0ms393×256valid
25.0ms110×1024valid
7.0ms40×512valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms2048valid
Compiler

Compiled 646 to 561 computations (13.2% saved)

bsearch121.0ms (1.1%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
26.0ms
7.104592962983848e+47
9.602991321771864e+48
28.0ms
0.4914938981956313
644152804867.4188
27.0ms
-8.409491357698851e-176
-2.9641868880713745e-182
39.0ms
-5.5612887843551696e-126
-4.48402904542346e-141
Results
48.0ms399×256valid
54.0ms92×1024valid
8.0ms49×512valid
1.0ms2048valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms512valid
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
Compiler

Compiled 646 to 561 computations (13.2% saved)

bsearch98.0ms (0.9%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
19.0ms
7.104592962983848e+47
9.602991321771864e+48
79.0ms
3.1414194402318996e-24
8.841880405332198e-23
Results
80.0ms132×256valid
9.0ms39×1024valid
3.0ms20×512valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms2048valid
Compiler

Compiled 230 to 192 computations (16.5% saved)

bsearch21.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
20.0ms
3.1414194402318996e-24
8.841880405332198e-23
Results
13.0ms76×256valid
3.0ms12×1024valid
1.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
Compiler

Compiled 104 to 92 computations (11.5% saved)

simplify119.0ms (1.1%)

Algorithm
egg-herbie
Rules
534×unsub-neg
318×distribute-lft-neg-in
226×neg-mul-1
214×cancel-sign-sub
133×add0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
096977
1180977
2281977
3351977
4446977
5633977
6855977
71118977
81237977
91306977
101365977
111406977
121438977
131454977
141458977
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1/2) (/.f64 (-.f64 (*.f64 (-.f64 -2 beta) (/.f64 (+.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 2) (/.f64 (-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007163225943973/9007199254740992) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007163225943973/9007199254740992) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2))))))
(if (<=.f64 alpha 4100000000000000) (/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 1600000000000) (/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 beta -965362170955867/214524926879081553593184399971293538039669853129478294043576983099548224481176751628829988770670454843040509730983776813660062124991145119142938384097345536) (/.f64 (+.f64 (*.f64 beta 1/2) 1) 2) (if (<=.f64 beta -2919961995278205/145998099763910246996517491382409322396583312231953917778534160572776805350677676368189209962155884792916553906355021033942038551084014015944085162231110854024063829579528478402651974151891320832) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 240000) (/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) (if (<=.f64 beta 720000000000000015343079309533525756178713280512) (/.f64 (*.f64 2 (/.f64 beta alpha)) 2) 1))))
(if (<=.f64 beta -2059439298039183/429049853758163107186368799942587076079339706258956588087153966199096448962353503257659977541340909686081019461967553627320124249982290238285876768194691072) (/.f64 (+.f64 (*.f64 beta 1/2) 1) 2) (if (<=.f64 beta -2566372847412485/35644067325173400145634153169533525975728347712879374457649941546088087243817792082077443838416964060770643043543706307114755505635745609361348916560329798345718708393439569922522454626926592) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 17500) (/.f64 (+.f64 (*.f64 beta 1/2) 1) 2) (if (<=.f64 beta 720000000000000015343079309533525756178713280512) (/.f64 (*.f64 2 (/.f64 beta alpha)) 2) 1))))
(if (<=.f64 beta 3743106036130323/42535295865117307932921825928971026432) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 720000000000000015343079309533525756178713280512) (/.f64 (*.f64 2 (/.f64 beta alpha)) 2) 1))
(if (<=.f64 beta 1786482426334927/21267647932558653966460912964485513216) (/.f64 (/.f64 2 alpha) 2) 1)
1
Outputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1/2) (/.f64 (-.f64 (*.f64 (-.f64 -2 beta) (/.f64 (+.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 2) (/.f64 (-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1/2) (/.f64 (-.f64 (*.f64 (-.f64 -2 beta) (/.f64 (+.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 2) (/.f64 (-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1/2) (/.f64 (+.f64 (*.f64 (-.f64 -2 beta) (/.f64 (+.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 (-.f64 beta (-.f64 -2 beta)) alpha)) 2) (/.f64 (-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1/2) (/.f64 (+.f64 (*.f64 (-.f64 -2 beta) (/.f64 (+.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 (+.f64 beta (-.f64 beta -2)) alpha)) 2) (/.f64 (-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007163225943973/9007199254740992) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -9007163225943973/9007199254740992) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2) (/.f64 (-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007163225943973/9007199254740992) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2))))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -9007163225943973/9007199254740992) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2) (-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2))))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -9007163225943973/9007199254740992) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2) (+.f64 1/2 (*.f64 (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2))) (-.f64 alpha beta))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -9007163225943973/9007199254740992) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2) (+.f64 1/2 (*.f64 (-.f64 alpha beta) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2))))))
(if (<=.f64 alpha 4100000000000000) (/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 4100000000000000) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2))
(if (<=.f64 alpha 1600000000000) (/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 alpha 1600000000000) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 beta -965362170955867/214524926879081553593184399971293538039669853129478294043576983099548224481176751628829988770670454843040509730983776813660062124991145119142938384097345536) (/.f64 (+.f64 (*.f64 beta 1/2) 1) 2) (if (<=.f64 beta -2919961995278205/145998099763910246996517491382409322396583312231953917778534160572776805350677676368189209962155884792916553906355021033942038551084014015944085162231110854024063829579528478402651974151891320832) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 240000) (/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) (if (<=.f64 beta 720000000000000015343079309533525756178713280512) (/.f64 (*.f64 2 (/.f64 beta alpha)) 2) 1))))
(if (<=.f64 beta -965362170955867/214524926879081553593184399971293538039669853129478294043576983099548224481176751628829988770670454843040509730983776813660062124991145119142938384097345536) (/.f64 (+.f64 1 (*.f64 beta 1/2)) 2) (if (<=.f64 beta -2919961995278205/145998099763910246996517491382409322396583312231953917778534160572776805350677676368189209962155884792916553906355021033942038551084014015944085162231110854024063829579528478402651974151891320832) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 240000) (/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) (if (<=.f64 beta 720000000000000015343079309533525756178713280512) (/.f64 (*.f64 2 (/.f64 beta alpha)) 2) 1))))
(if (<=.f64 beta -2059439298039183/429049853758163107186368799942587076079339706258956588087153966199096448962353503257659977541340909686081019461967553627320124249982290238285876768194691072) (/.f64 (+.f64 (*.f64 beta 1/2) 1) 2) (if (<=.f64 beta -2566372847412485/35644067325173400145634153169533525975728347712879374457649941546088087243817792082077443838416964060770643043543706307114755505635745609361348916560329798345718708393439569922522454626926592) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 17500) (/.f64 (+.f64 (*.f64 beta 1/2) 1) 2) (if (<=.f64 beta 720000000000000015343079309533525756178713280512) (/.f64 (*.f64 2 (/.f64 beta alpha)) 2) 1))))
(if (<=.f64 beta -2059439298039183/429049853758163107186368799942587076079339706258956588087153966199096448962353503257659977541340909686081019461967553627320124249982290238285876768194691072) (/.f64 (+.f64 1 (*.f64 beta 1/2)) 2) (if (<=.f64 beta -2566372847412485/35644067325173400145634153169533525975728347712879374457649941546088087243817792082077443838416964060770643043543706307114755505635745609361348916560329798345718708393439569922522454626926592) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 17500) (/.f64 (+.f64 1 (*.f64 beta 1/2)) 2) (if (<=.f64 beta 720000000000000015343079309533525756178713280512) (/.f64 (*.f64 2 (/.f64 beta alpha)) 2) 1))))
(if (<=.f64 beta 3743106036130323/42535295865117307932921825928971026432) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 720000000000000015343079309533525756178713280512) (/.f64 (*.f64 2 (/.f64 beta alpha)) 2) 1))
(if (<=.f64 beta 1786482426334927/21267647932558653966460912964485513216) (/.f64 (/.f64 2 alpha) 2) 1)
1
Compiler

Compiled 306 to 233 computations (23.9% saved)

soundness2.0s (17.6%)

Rules
6118×fma-neg
1552×fma-define
1476×add0
1287×log1p-expm1-u
1218×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083423958
1328423271
021197
1369197
25985197
038359
1126351
2317351
3783343
41780343
53986343
66208343
77039343
87195343
97233343
107284343
117288343
127440343
137559343
147561343
157561315
083423958
1328423271
073017163
1273416592
0114831528
1437630060
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 558 to 365 computations (34.6% saved)

end0.0ms (0%)

preprocess213.0ms (1.9%)

Compiler

Compiled 606 to 440 computations (27.4% saved)

Profiling

Loading profile data...