Octave 3.8, jcobi/1

Time bar (total: 11.6s)

analyze0.0ms (0%)

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

Compiled 22 to 16 computations (27.3% saved)

sample1.3s (11.5%)

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

preprocess617.0ms (5.3%)

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
730-0-(+.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
73.6%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
73.7%
(-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))))
Compiler

Compiled 30 to 22 computations (26.7% saved)

localize120.0ms (1%)

Localize:

Found 5 expressions with local error:

NewAccuracyProgram
100.0%
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
73.6%
(+.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))))
73.6%
(-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))))
Compiler

Compiled 98 to 51 computations (48% saved)

series71.0ms (0.6%)

Counts
5 → 120
Calls

30 calls:

TimeVariablePointExpression
35.0ms
beta
@0
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
3.0ms
beta
@-inf
(-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))))
2.0ms
alpha
@-inf
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
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)))))

rewrite388.0ms (3.3%)

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)

simplify233.0ms (2%)

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))

eval374.0ms (3.2%)

Compiler

Compiled 15568 to 11090 computations (28.8% saved)

prune110.0ms (0.9%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New54010550
Fresh000
Picked112
Done000
Total54111552
Accuracy
99.9%
Counts
552 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
30.6%
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
44.5%
(/.f64 (-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2) (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) (/.f64 1 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))) 2)
74.5%
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
28.9%
(/.f64 (-.f64 (*.f64 (-.f64 -2 beta) (/.f64 (+.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 2)
31.5%
(/.f64 (-.f64 2 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta)) 2)
47.3%
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
73.6%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
71.1%
(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
34.4%
(-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 beta)))
3.8%
(-.f64 1/2 1/2)
38.8%
1
Compiler

Compiled 319 to 239 computations (25.1% saved)

localize339.0ms (2.9%)

Localize:

Found 10 expressions with local error:

NewAccuracyProgram
100.0%
(/.f64 (+.f64 2 (*.f64 alpha 2)) beta)
99.7%
(/.f64 (-.f64 2 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta)) 2)
100.0%
(/.f64 alpha (+.f64 alpha 2))
67.8%
(-.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 (/.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)))
100.0%
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
73.6%
(-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)
Compiler

Compiled 166 to 109 computations (34.3% saved)

series57.0ms (0.5%)

Counts
10 → 216
Calls

54 calls:

TimeVariablePointExpression
6.0ms
alpha
@0
(/.f64 (-.f64 2 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta)) 2)
4.0ms
beta
@-inf
(-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)
4.0ms
alpha
@-inf
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))
1.0ms
alpha
@-inf
(-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)
1.0ms
beta
@0
(/.f64 (-.f64 2 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta)) 2)

rewrite140.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
267×add0
258×log1p-expm1-u
258×expm1-log1p-u
252×add-cube-cbrt
250×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028325
1554293
Stop Event
node limit
Counts
10 → 347
Calls
Call 1
Inputs
(-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(/.f64 beta (+.f64 beta (+.f64 alpha 2)))
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))
(*.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 (-.f64 2 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta)) 2)
(/.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 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 alpha (+.f64 beta (+.f64 alpha 2))) 0)
(-.f64 (+.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 1)
(*.f64 alpha (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)
(*.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (neg.f64 alpha) (/.f64 1 (neg.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 alpha (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) 1) (/.f64 (cbrt.f64 alpha) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (cbrt.f64 alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (sqrt.f64 alpha) 1) (/.f64 (sqrt.f64 alpha) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (sqrt.f64 alpha) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (sqrt.f64 alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)
(pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 3)
(pow.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 2)
(pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) alpha) -1)
(sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2))
(log.f64 (exp.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))))
(cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3))
(expm1.f64 (log1p.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(log1p.f64 (expm1.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (log.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (*.f64 (log.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 1))
(fma.f64 alpha (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 0)
(fma.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 0)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 0)
(fma.f64 (sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 0)
(+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 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)
(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))) (neg.f64 (+.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 (neg.f64 (+.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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(*.f64 (-.f64 1/8 (pow.f64 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 beta)) 3)) (/.f64 1 (+.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 (+.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 beta)))))
(/.f64 1 (/.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 1/8 (pow.f64 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 beta)) 3))))
(/.f64 1 (/.f64 (+.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 beta))) (-.f64 1/4 (pow.f64 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 beta)) 2))))
(/.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 (neg.f64 (/.f64 alpha (+.f64 alpha 2))))
(+.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 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 (neg.f64 (/.f64 alpha (+.f64 alpha 2))) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (/.f64 alpha (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 alpha 2))))))
(/.f64 (-.f64 1 (*.f64 (neg.f64 (/.f64 alpha (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 alpha 2))))) (-.f64 1 (neg.f64 (/.f64 alpha (+.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 (neg.f64 (/.f64 alpha (+.f64 alpha 2)))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (/.f64 alpha (+.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 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)
(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 1 (neg.f64 (*.f64 (/.f64 (fma.f64 alpha 2 2) beta) 1/2)))
(+.f64 (-.f64 1 (*.f64 (/.f64 (fma.f64 alpha 2 2) beta) 1/2)) 0)
(-.f64 1 (*.f64 (/.f64 (fma.f64 alpha 2 2) beta) 1/2))
(-.f64 (exp.f64 (log1p.f64 (-.f64 1 (*.f64 (/.f64 (fma.f64 alpha 2 2) beta) 1/2)))) 1)
(*.f64 1 (-.f64 1 (*.f64 (/.f64 (fma.f64 alpha 2 2) beta) 1/2)))
(*.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) 1/2)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 (/.f64 (fma.f64 alpha 2 2) beta) 1/2))) 2) (cbrt.f64 (-.f64 1 (*.f64 (/.f64 (fma.f64 alpha 2 2) beta) 1/2))))
(*.f64 (sqrt.f64 (-.f64 1 (*.f64 (/.f64 (fma.f64 alpha 2 2) beta) 1/2))) (sqrt.f64 (-.f64 1 (*.f64 (/.f64 (fma.f64 alpha 2 2) beta) 1/2))))
(*.f64 (neg.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))) -1/2)
(pow.f64 (-.f64 1 (*.f64 (/.f64 (fma.f64 alpha 2 2) beta) 1/2)) 1)
(pow.f64 (cbrt.f64 (-.f64 1 (*.f64 (/.f64 (fma.f64 alpha 2 2) beta) 1/2))) 3)
(pow.f64 (pow.f64 (-.f64 1 (*.f64 (/.f64 (fma.f64 alpha 2 2) beta) 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 1 (*.f64 (/.f64 (fma.f64 alpha 2 2) beta) 1/2))) 2)
(pow.f64 (/.f64 2 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))) -1)
(sqrt.f64 (*.f64 (pow.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) 2) 1/4))
(log.f64 (sqrt.f64 (exp.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (*.f64 (/.f64 (fma.f64 alpha 2 2) beta) 1/2)))))
(cbrt.f64 (pow.f64 (-.f64 1 (*.f64 (/.f64 (fma.f64 alpha 2 2) beta) 1/2)) 3))
(expm1.f64 (log1p.f64 (-.f64 1 (*.f64 (/.f64 (fma.f64 alpha 2 2) beta) 1/2))))
(log1p.f64 (expm1.f64 (-.f64 1 (*.f64 (/.f64 (fma.f64 alpha 2 2) beta) 1/2))))
(exp.f64 (log.f64 (-.f64 1 (*.f64 (/.f64 (fma.f64 alpha 2 2) beta) 1/2))))
(exp.f64 (*.f64 (log.f64 (-.f64 1 (*.f64 (/.f64 (fma.f64 alpha 2 2) beta) 1/2))) 1))
(fma.f64 1 (-.f64 1 (*.f64 (/.f64 (fma.f64 alpha 2 2) beta) 1/2)) 0)
(fma.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) 1/2 0)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 (/.f64 (fma.f64 alpha 2 2) beta) 1/2))) 2) (cbrt.f64 (-.f64 1 (*.f64 (/.f64 (fma.f64 alpha 2 2) beta) 1/2))) 0)
(fma.f64 (sqrt.f64 (-.f64 1 (*.f64 (/.f64 (fma.f64 alpha 2 2) beta) 1/2))) (sqrt.f64 (-.f64 1 (*.f64 (/.f64 (fma.f64 alpha 2 2) beta) 1/2))) 0)
(+.f64 (/.f64 (fma.f64 alpha 2 2) beta) 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)
(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)

simplify263.0ms (2.3%)

Algorithm
egg-herbie
Rules
1356×add0
778×times-frac
388×sub-neg
370×*-commutative
368×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0107229446
1408128693
Stop Event
node limit
Counts
563 → 696
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)
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1
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1
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(/.f64 beta (+.f64 2 alpha))
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1
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2
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2
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(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
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(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha))
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(*.f64 -1/2 (/.f64 alpha beta))
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1
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1
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(/.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 (neg.f64 (/.f64 alpha (+.f64 alpha 2))) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (/.f64 alpha (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 alpha 2))))))
(/.f64 (-.f64 1 (*.f64 (neg.f64 (/.f64 alpha (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 alpha 2))))) (-.f64 1 (neg.f64 (/.f64 alpha (+.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 (neg.f64 (/.f64 alpha (+.f64 alpha 2)))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (/.f64 alpha (+.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 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)
(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 1 (neg.f64 (*.f64 (/.f64 (fma.f64 alpha 2 2) beta) 1/2)))
(+.f64 (-.f64 1 (*.f64 (/.f64 (fma.f64 alpha 2 2) beta) 1/2)) 0)
(-.f64 1 (*.f64 (/.f64 (fma.f64 alpha 2 2) beta) 1/2))
(-.f64 (exp.f64 (log1p.f64 (-.f64 1 (*.f64 (/.f64 (fma.f64 alpha 2 2) beta) 1/2)))) 1)
(*.f64 1 (-.f64 1 (*.f64 (/.f64 (fma.f64 alpha 2 2) beta) 1/2)))
(*.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) 1/2)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 (/.f64 (fma.f64 alpha 2 2) beta) 1/2))) 2) (cbrt.f64 (-.f64 1 (*.f64 (/.f64 (fma.f64 alpha 2 2) beta) 1/2))))
(*.f64 (sqrt.f64 (-.f64 1 (*.f64 (/.f64 (fma.f64 alpha 2 2) beta) 1/2))) (sqrt.f64 (-.f64 1 (*.f64 (/.f64 (fma.f64 alpha 2 2) beta) 1/2))))
(*.f64 (neg.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))) -1/2)
(pow.f64 (-.f64 1 (*.f64 (/.f64 (fma.f64 alpha 2 2) beta) 1/2)) 1)
(pow.f64 (cbrt.f64 (-.f64 1 (*.f64 (/.f64 (fma.f64 alpha 2 2) beta) 1/2))) 3)
(pow.f64 (pow.f64 (-.f64 1 (*.f64 (/.f64 (fma.f64 alpha 2 2) beta) 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 1 (*.f64 (/.f64 (fma.f64 alpha 2 2) beta) 1/2))) 2)
(pow.f64 (/.f64 2 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))) -1)
(sqrt.f64 (*.f64 (pow.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) 2) 1/4))
(log.f64 (sqrt.f64 (exp.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (*.f64 (/.f64 (fma.f64 alpha 2 2) beta) 1/2)))))
(cbrt.f64 (pow.f64 (-.f64 1 (*.f64 (/.f64 (fma.f64 alpha 2 2) beta) 1/2)) 3))
(expm1.f64 (log1p.f64 (-.f64 1 (*.f64 (/.f64 (fma.f64 alpha 2 2) beta) 1/2))))
(log1p.f64 (expm1.f64 (-.f64 1 (*.f64 (/.f64 (fma.f64 alpha 2 2) beta) 1/2))))
(exp.f64 (log.f64 (-.f64 1 (*.f64 (/.f64 (fma.f64 alpha 2 2) beta) 1/2))))
(exp.f64 (*.f64 (log.f64 (-.f64 1 (*.f64 (/.f64 (fma.f64 alpha 2 2) beta) 1/2))) 1))
(fma.f64 1 (-.f64 1 (*.f64 (/.f64 (fma.f64 alpha 2 2) beta) 1/2)) 0)
(fma.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) 1/2 0)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 (/.f64 (fma.f64 alpha 2 2) beta) 1/2))) 2) (cbrt.f64 (-.f64 1 (*.f64 (/.f64 (fma.f64 alpha 2 2) beta) 1/2))) 0)
(fma.f64 (sqrt.f64 (-.f64 1 (*.f64 (/.f64 (fma.f64 alpha 2 2) beta) 1/2))) (sqrt.f64 (-.f64 1 (*.f64 (/.f64 (fma.f64 alpha 2 2) beta) 1/2))) 0)
(+.f64 (/.f64 (fma.f64 alpha 2 2) beta) 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)
(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)
(*.f64 -1 (/.f64 (+.f64 2 beta) alpha))
(neg.f64 (/.f64 (+.f64 2 beta) alpha))
(/.f64 (fma.f64 -1 beta -2) alpha)
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 beta) alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)))
(fma.f64 -1 (/.f64 (+.f64 2 beta) alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)))
(-.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)) (/.f64 (+.f64 2 beta) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 beta) alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3))) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))))
(fma.f64 -1 (/.f64 (+.f64 2 beta) alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))))
(-.f64 (-.f64 (/.f64 (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 (*.f64 -1 (/.f64 (+.f64 2 beta) alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3))) (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4)))))
(fma.f64 -1 (/.f64 (+.f64 2 beta) alpha) (+.f64 (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4))))
(-.f64 (+.f64 (-.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3))) (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4))) (/.f64 (+.f64 2 beta) alpha))
(*.f64 -1 (/.f64 (+.f64 2 beta) alpha))
(neg.f64 (/.f64 (+.f64 2 beta) alpha))
(/.f64 (fma.f64 -1 beta -2) alpha)
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 beta) alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)))
(fma.f64 -1 (/.f64 (+.f64 2 beta) alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)))
(-.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)) (/.f64 (+.f64 2 beta) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 beta) alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3))) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))))
(fma.f64 -1 (/.f64 (+.f64 2 beta) alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))))
(-.f64 (-.f64 (/.f64 (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 (*.f64 -1 (/.f64 (+.f64 2 beta) alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3))) (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4)))))
(fma.f64 -1 (/.f64 (+.f64 2 beta) alpha) (+.f64 (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4))))
(-.f64 (+.f64 (-.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3))) (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4))) (/.f64 (+.f64 2 beta) alpha))
(-.f64 (/.f64 alpha (+.f64 2 alpha)) 1)
(+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)
(+.f64 -1 (/.f64 alpha (+.f64 alpha 2)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 alpha (+.f64 2 alpha))) 1)
(+.f64 (fma.f64 -1 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 alpha (+.f64 alpha 2))) -1)
(+.f64 (-.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 alpha 2) 2))) -1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (/.f64 alpha (+.f64 2 alpha)) (/.f64 (*.f64 alpha (pow.f64 beta 2)) (pow.f64 (+.f64 2 alpha) 3)))) 1)
(+.f64 (+.f64 (fma.f64 -1 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 alpha (+.f64 alpha 2))) (*.f64 alpha (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 3)))) -1)
(+.f64 (+.f64 (-.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 alpha 2) 2))) (*.f64 alpha (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 3)))) -1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 alpha (pow.f64 beta 3)) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 (/.f64 alpha (+.f64 2 alpha)) (/.f64 (*.f64 alpha (pow.f64 beta 2)) (pow.f64 (+.f64 2 alpha) 3))))) 1)
(+.f64 (fma.f64 -1 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 alpha 2) 2)) (fma.f64 -1 (*.f64 alpha (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 4))) (+.f64 (*.f64 alpha (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 3))) (/.f64 alpha (+.f64 alpha 2))))) -1)
(+.f64 (-.f64 (-.f64 (+.f64 (*.f64 alpha (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 3))) (/.f64 alpha (+.f64 alpha 2))) (*.f64 alpha (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 4)))) (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 alpha 2) 2))) -1)
-1
(-.f64 (/.f64 alpha beta) 1)
(+.f64 (/.f64 alpha beta) -1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2))) (/.f64 alpha beta)) 1)
(+.f64 (fma.f64 -1 (*.f64 alpha (/.f64 (+.f64 alpha 2) (pow.f64 beta 2))) (/.f64 alpha beta)) -1)
(+.f64 (-.f64 (/.f64 alpha beta) (*.f64 alpha (/.f64 (+.f64 alpha 2) (pow.f64 beta 2)))) -1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (/.f64 alpha beta) (/.f64 (*.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3)))) 1)
(+.f64 (+.f64 (fma.f64 -1 (*.f64 alpha (/.f64 (+.f64 alpha 2) (pow.f64 beta 2))) (/.f64 alpha beta)) (*.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3)))) -1)
(+.f64 (+.f64 (-.f64 (/.f64 alpha beta) (*.f64 alpha (/.f64 (+.f64 alpha 2) (pow.f64 beta 2)))) (*.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3)))) -1)
-1
(-.f64 (/.f64 alpha beta) 1)
(+.f64 (/.f64 alpha beta) -1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2))) (/.f64 alpha beta)) 1)
(+.f64 (fma.f64 -1 (*.f64 alpha (/.f64 (+.f64 alpha 2) (pow.f64 beta 2))) (/.f64 alpha beta)) -1)
(+.f64 (-.f64 (/.f64 alpha beta) (*.f64 alpha (/.f64 (+.f64 alpha 2) (pow.f64 beta 2)))) -1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (/.f64 alpha beta) (/.f64 (*.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3)))) 1)
(+.f64 (+.f64 (fma.f64 -1 (*.f64 alpha (/.f64 (+.f64 alpha 2) (pow.f64 beta 2))) (/.f64 alpha beta)) (*.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3)))) -1)
(+.f64 (+.f64 (-.f64 (/.f64 alpha beta) (*.f64 alpha (/.f64 (+.f64 alpha 2) (pow.f64 beta 2)))) (*.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3)))) -1)
(/.f64 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)))))
(+.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)))
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 (*.f64 alpha beta) (pow.f64 (+.f64 alpha 2) 2)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (/.f64 alpha (+.f64 2 alpha)) (/.f64 (*.f64 alpha (pow.f64 beta 2)) (pow.f64 (+.f64 2 alpha) 3))))
(+.f64 (fma.f64 -1 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 alpha (+.f64 alpha 2))) (*.f64 alpha (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 3))))
(+.f64 (-.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 alpha 2) 2))) (*.f64 alpha (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 3))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 alpha (pow.f64 beta 3)) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 (/.f64 alpha (+.f64 2 alpha)) (/.f64 (*.f64 alpha (pow.f64 beta 2)) (pow.f64 (+.f64 2 alpha) 3)))))
(fma.f64 -1 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 alpha 2) 2)) (fma.f64 -1 (*.f64 alpha (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 4))) (+.f64 (*.f64 alpha (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 3))) (/.f64 alpha (+.f64 alpha 2)))))
(-.f64 (-.f64 (+.f64 (*.f64 alpha (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 3))) (/.f64 alpha (+.f64 alpha 2))) (*.f64 alpha (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 4)))) (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 alpha 2) 2)))
(/.f64 alpha beta)
(+.f64 (*.f64 -1 (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2))) (/.f64 alpha beta))
(fma.f64 -1 (*.f64 alpha (/.f64 (+.f64 alpha 2) (pow.f64 beta 2))) (/.f64 alpha beta))
(-.f64 (/.f64 alpha beta) (*.f64 alpha (/.f64 (+.f64 alpha 2) (pow.f64 beta 2))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (/.f64 alpha beta) (/.f64 (*.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3))))
(+.f64 (fma.f64 -1 (*.f64 alpha (/.f64 (+.f64 alpha 2) (pow.f64 beta 2))) (/.f64 alpha beta)) (*.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3))))
(+.f64 (-.f64 (/.f64 alpha beta) (*.f64 alpha (/.f64 (+.f64 alpha 2) (pow.f64 beta 2)))) (*.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 beta 4))) (+.f64 (/.f64 alpha beta) (/.f64 (*.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3)))))
(fma.f64 -1 (*.f64 alpha (/.f64 (+.f64 alpha 2) (pow.f64 beta 2))) (fma.f64 -1 (*.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 4))) (+.f64 (/.f64 alpha beta) (*.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3))))))
(-.f64 (-.f64 (+.f64 (/.f64 alpha beta) (*.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3)))) (/.f64 (*.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (pow.f64 beta 4))) (*.f64 alpha (/.f64 (+.f64 alpha 2) (pow.f64 beta 2))))
(/.f64 alpha beta)
(+.f64 (*.f64 -1 (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2))) (/.f64 alpha beta))
(fma.f64 -1 (*.f64 alpha (/.f64 (+.f64 alpha 2) (pow.f64 beta 2))) (/.f64 alpha beta))
(-.f64 (/.f64 alpha beta) (*.f64 alpha (/.f64 (+.f64 alpha 2) (pow.f64 beta 2))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (/.f64 alpha beta) (/.f64 (*.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3))))
(+.f64 (fma.f64 -1 (*.f64 alpha (/.f64 (+.f64 alpha 2) (pow.f64 beta 2))) (/.f64 alpha beta)) (*.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3))))
(+.f64 (-.f64 (/.f64 alpha beta) (*.f64 alpha (/.f64 (+.f64 alpha 2) (pow.f64 beta 2)))) (*.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 beta 4))) (+.f64 (/.f64 alpha beta) (/.f64 (*.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3)))))
(fma.f64 -1 (*.f64 alpha (/.f64 (+.f64 alpha 2) (pow.f64 beta 2))) (fma.f64 -1 (*.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 4))) (+.f64 (/.f64 alpha beta) (*.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3))))))
(-.f64 (-.f64 (+.f64 (/.f64 alpha beta) (*.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3)))) (/.f64 (*.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (pow.f64 beta 4))) (*.f64 alpha (/.f64 (+.f64 alpha 2) (pow.f64 beta 2))))
(/.f64 beta (+.f64 2 alpha))
(/.f64 beta (+.f64 alpha 2))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 beta (+.f64 2 alpha)))
(fma.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 beta (+.f64 alpha 2)))
(-.f64 (/.f64 beta (+.f64 alpha 2)) (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 2)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (/.f64 beta (+.f64 2 alpha)) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3))))
(fma.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 2)) (+.f64 (/.f64 beta (+.f64 alpha 2)) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))))
(+.f64 (-.f64 (/.f64 beta (+.f64 alpha 2)) (/.f64 (pow.f64 beta 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 (/.f64 (+.f64 (neg.f64 alpha) -2) beta))
(-.f64 1 (/.f64 (+.f64 alpha 2) beta))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(+.f64 1 (fma.f64 -1 (/.f64 (+.f64 alpha 2) beta) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2))))
(+.f64 1 (-.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 2) beta)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))
(+.f64 1 (fma.f64 -1 (/.f64 (+.f64 alpha 2) beta) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2)))))
(+.f64 (-.f64 1 (/.f64 (+.f64 alpha 2) beta)) (-.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))))
1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)))
(+.f64 1 (/.f64 (+.f64 (neg.f64 alpha) -2) beta))
(-.f64 1 (/.f64 (+.f64 alpha 2) beta))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(+.f64 1 (fma.f64 -1 (/.f64 (+.f64 alpha 2) beta) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2))))
(+.f64 1 (-.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2)) (/.f64 (+.f64 alpha 2) beta)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))
(+.f64 1 (fma.f64 -1 (/.f64 (+.f64 alpha 2) beta) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2)))))
(+.f64 (-.f64 1 (/.f64 (+.f64 alpha 2) beta)) (-.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))))
(/.f64 beta (+.f64 2 beta))
(+.f64 (*.f64 -1 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 2 beta) 2))) (/.f64 beta (+.f64 2 beta)))
(fma.f64 -1 (*.f64 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))))
(+.f64 (fma.f64 -1 (*.f64 alpha (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (/.f64 beta (+.f64 2 beta))) (*.f64 (pow.f64 alpha 2) (/.f64 beta (pow.f64 (+.f64 2 beta) 3))))
(+.f64 (-.f64 (/.f64 beta (+.f64 2 beta)) (*.f64 alpha (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (*.f64 (pow.f64 alpha 2) (/.f64 beta (pow.f64 (+.f64 2 beta) 3))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 2 beta) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 alpha 3) beta) (pow.f64 (+.f64 2 beta) 4))) (+.f64 (/.f64 beta (+.f64 2 beta)) (/.f64 (*.f64 (pow.f64 alpha 2) beta) (pow.f64 (+.f64 2 beta) 3)))))
(fma.f64 -1 (*.f64 alpha (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (fma.f64 -1 (*.f64 (pow.f64 alpha 3) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))) (+.f64 (/.f64 beta (+.f64 2 beta)) (*.f64 (pow.f64 alpha 2) (/.f64 beta (pow.f64 (+.f64 2 beta) 3))))))
(-.f64 (-.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) (*.f64 (pow.f64 alpha 2) (/.f64 beta (pow.f64 (+.f64 2 beta) 3)))) (*.f64 (pow.f64 alpha 3) (/.f64 beta (pow.f64 (+.f64 2 beta) 4)))) (*.f64 alpha (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))
(/.f64 beta alpha)
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))) (/.f64 beta alpha))
(fma.f64 -1 (*.f64 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))))
(+.f64 (fma.f64 -1 (*.f64 beta (/.f64 (+.f64 2 beta) (pow.f64 alpha 2))) (/.f64 beta alpha)) (*.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3))))
(+.f64 (-.f64 (/.f64 beta alpha) (*.f64 beta (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)))) (*.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 3)) (pow.f64 alpha 4))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3)))))
(fma.f64 -1 (*.f64 beta (/.f64 (+.f64 2 beta) (pow.f64 alpha 2))) (fma.f64 -1 (/.f64 (*.f64 beta (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)
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))) (/.f64 beta alpha))
(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))))
(+.f64 (fma.f64 -1 (*.f64 beta (/.f64 (+.f64 2 beta) (pow.f64 alpha 2))) (/.f64 beta alpha)) (*.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3))))
(+.f64 (-.f64 (/.f64 beta alpha) (*.f64 beta (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)))) (*.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3))))
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(fma.f64 -1 (*.f64 beta (/.f64 (+.f64 2 beta) (pow.f64 alpha 2))) (fma.f64 -1 (/.f64 (*.f64 beta (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))))))
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(/.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)
(/.f64 alpha (+.f64 alpha 2))
(pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 3)
(/.f64 alpha (+.f64 alpha 2))
(pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) 1/3)
(/.f64 alpha (+.f64 alpha 2))
(pow.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2)
(/.f64 alpha (+.f64 alpha 2))
(pow.f64 (/.f64 (+.f64 alpha 2) alpha) -1)
(/.f64 1 (/.f64 (+.f64 alpha 2) alpha))
(sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))
(fabs.f64 (/.f64 alpha (+.f64 alpha 2)))
(log.f64 (exp.f64 (/.f64 alpha (+.f64 alpha 2))))
(/.f64 alpha (+.f64 alpha 2))
(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)
(/.f64 alpha (+.f64 alpha 2))
(fma.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))) (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))) 0)
(/.f64 alpha (+.f64 alpha 2))
(+.f64 1 (neg.f64 (*.f64 (/.f64 (fma.f64 alpha 2 2) beta) 1/2)))
(+.f64 1 (*.f64 -1/2 (/.f64 (fma.f64 alpha 2 2) beta)))
(+.f64 (-.f64 1 (*.f64 (/.f64 (fma.f64 alpha 2 2) beta) 1/2)) 0)
(+.f64 1 (*.f64 -1/2 (/.f64 (fma.f64 alpha 2 2) beta)))
(-.f64 1 (*.f64 (/.f64 (fma.f64 alpha 2 2) beta) 1/2))
(+.f64 1 (*.f64 -1/2 (/.f64 (fma.f64 alpha 2 2) beta)))
(-.f64 (exp.f64 (log1p.f64 (-.f64 1 (*.f64 (/.f64 (fma.f64 alpha 2 2) beta) 1/2)))) 1)
(expm1.f64 (log1p.f64 (+.f64 1 (*.f64 -1/2 (/.f64 (fma.f64 alpha 2 2) beta)))))
(*.f64 1 (-.f64 1 (*.f64 (/.f64 (fma.f64 alpha 2 2) beta) 1/2)))
(+.f64 1 (*.f64 -1/2 (/.f64 (fma.f64 alpha 2 2) beta)))
(*.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) 1/2)
(*.f64 1/2 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 (/.f64 (fma.f64 alpha 2 2) beta) 1/2))) 2) (cbrt.f64 (-.f64 1 (*.f64 (/.f64 (fma.f64 alpha 2 2) beta) 1/2))))
(+.f64 1 (*.f64 -1/2 (/.f64 (fma.f64 alpha 2 2) beta)))
(*.f64 (sqrt.f64 (-.f64 1 (*.f64 (/.f64 (fma.f64 alpha 2 2) beta) 1/2))) (sqrt.f64 (-.f64 1 (*.f64 (/.f64 (fma.f64 alpha 2 2) beta) 1/2))))
(+.f64 1 (*.f64 -1/2 (/.f64 (fma.f64 alpha 2 2) beta)))
(*.f64 (neg.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))) -1/2)
(*.f64 1/2 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)))
(pow.f64 (-.f64 1 (*.f64 (/.f64 (fma.f64 alpha 2 2) beta) 1/2)) 1)
(+.f64 1 (*.f64 -1/2 (/.f64 (fma.f64 alpha 2 2) beta)))
(pow.f64 (cbrt.f64 (-.f64 1 (*.f64 (/.f64 (fma.f64 alpha 2 2) beta) 1/2))) 3)
(+.f64 1 (*.f64 -1/2 (/.f64 (fma.f64 alpha 2 2) beta)))
(pow.f64 (pow.f64 (-.f64 1 (*.f64 (/.f64 (fma.f64 alpha 2 2) beta) 1/2)) 3) 1/3)
(+.f64 1 (*.f64 -1/2 (/.f64 (fma.f64 alpha 2 2) beta)))
(pow.f64 (sqrt.f64 (-.f64 1 (*.f64 (/.f64 (fma.f64 alpha 2 2) beta) 1/2))) 2)
(+.f64 1 (*.f64 -1/2 (/.f64 (fma.f64 alpha 2 2) beta)))
(pow.f64 (/.f64 2 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))) -1)
(/.f64 1 (/.f64 2 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))))
(sqrt.f64 (*.f64 (pow.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) 2) 1/4))
(sqrt.f64 (*.f64 1/4 (pow.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) 2)))
(log.f64 (sqrt.f64 (exp.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (*.f64 (/.f64 (fma.f64 alpha 2 2) beta) 1/2)))))
(+.f64 1 (*.f64 -1/2 (/.f64 (fma.f64 alpha 2 2) beta)))
(cbrt.f64 (pow.f64 (-.f64 1 (*.f64 (/.f64 (fma.f64 alpha 2 2) beta) 1/2)) 3))
(+.f64 1 (*.f64 -1/2 (/.f64 (fma.f64 alpha 2 2) beta)))
(expm1.f64 (log1p.f64 (-.f64 1 (*.f64 (/.f64 (fma.f64 alpha 2 2) beta) 1/2))))
(expm1.f64 (log1p.f64 (+.f64 1 (*.f64 -1/2 (/.f64 (fma.f64 alpha 2 2) beta)))))
(log1p.f64 (expm1.f64 (-.f64 1 (*.f64 (/.f64 (fma.f64 alpha 2 2) beta) 1/2))))
(+.f64 1 (*.f64 -1/2 (/.f64 (fma.f64 alpha 2 2) beta)))
(exp.f64 (log.f64 (-.f64 1 (*.f64 (/.f64 (fma.f64 alpha 2 2) beta) 1/2))))
(+.f64 1 (*.f64 -1/2 (/.f64 (fma.f64 alpha 2 2) beta)))
(exp.f64 (*.f64 (log.f64 (-.f64 1 (*.f64 (/.f64 (fma.f64 alpha 2 2) beta) 1/2))) 1))
(+.f64 1 (*.f64 -1/2 (/.f64 (fma.f64 alpha 2 2) beta)))
(fma.f64 1 (-.f64 1 (*.f64 (/.f64 (fma.f64 alpha 2 2) beta) 1/2)) 0)
(+.f64 1 (*.f64 -1/2 (/.f64 (fma.f64 alpha 2 2) beta)))
(fma.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) 1/2 0)
(*.f64 1/2 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 (/.f64 (fma.f64 alpha 2 2) beta) 1/2))) 2) (cbrt.f64 (-.f64 1 (*.f64 (/.f64 (fma.f64 alpha 2 2) beta) 1/2))) 0)
(+.f64 1 (*.f64 -1/2 (/.f64 (fma.f64 alpha 2 2) beta)))
(fma.f64 (sqrt.f64 (-.f64 1 (*.f64 (/.f64 (fma.f64 alpha 2 2) beta) 1/2))) (sqrt.f64 (-.f64 1 (*.f64 (/.f64 (fma.f64 alpha 2 2) beta) 1/2))) 0)
(+.f64 1 (*.f64 -1/2 (/.f64 (fma.f64 alpha 2 2) beta)))
(+.f64 (/.f64 (fma.f64 alpha 2 2) beta) 0)
(/.f64 (fma.f64 alpha 2 2) beta)
(-.f64 (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 1 (/.f64 (fma.f64 alpha 2 2) (cbrt.f64 beta))) (pow.f64 (cbrt.f64 beta) 2))
(/.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 (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) (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)))
(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)

eval367.0ms (3.2%)

Compiler

Compiled 18062 to 13126 computations (27.3% saved)

prune135.0ms (1.2%)

Pruning

18 alts after pruning (14 fresh and 4 done)

PrunedKeptTotal
New6879696
Fresh055
Picked235
Done011
Total68918707
Accuracy
99.9%
Counts
707 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
30.6%
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
25.1%
(/.f64 (/.f64 2 alpha) 2)
44.5%
(/.f64 (-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2) (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) (/.f64 1 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))) 2)
73.2%
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (fma.f64 alpha (/.f64 1 (+.f64 beta (+.f64 alpha 2))) -1)) 2)
74.5%
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) -1) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1))) 2)
74.5%
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
30.6%
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 (+.f64 2 beta) alpha))) 2)
23.4%
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (pow.f64 alpha 2))) 2)
28.9%
(/.f64 (-.f64 (*.f64 (-.f64 -2 beta) (/.f64 (+.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 2)
31.8%
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
34.6%
(/.f64 (-.f64 2 (*.f64 2 (/.f64 alpha beta))) 2)
47.3%
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
44.9%
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
73.6%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
71.1%
(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
3.8%
(-.f64 1/2 1/2)
34.4%
(+.f64 1 (*.f64 (/.f64 alpha beta) -1/2))
38.8%
1
Compiler

Compiled 498 to 378 computations (24.1% saved)

localize309.0ms (2.7%)

Localize:

Found 8 expressions with local error:

NewAccuracyProgram
100.0%
(-.f64 (/.f64 2 alpha) (/.f64 4 (pow.f64 alpha 2)))
99.2%
(/.f64 4 (pow.f64 alpha 2))
100.0%
(*.f64 2 (/.f64 alpha beta))
99.7%
(/.f64 (-.f64 2 (*.f64 2 (/.f64 alpha beta))) 2)
100.0%
(/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) -1) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1))
100.0%
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
99.9%
(pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2)
73.7%
(+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) -1)
Compiler

Compiled 223 to 154 computations (30.9% saved)

series40.0ms (0.3%)

Counts
7 → 108
Calls

36 calls:

TimeVariablePointExpression
4.0ms
beta
@0
(/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) -1) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1))
4.0ms
alpha
@inf
(/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) -1) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1))
2.0ms
alpha
@-inf
(/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) -1) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1))
2.0ms
alpha
@-inf
(*.f64 2 (/.f64 alpha beta))
1.0ms
beta
@0
(+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) -1)

rewrite142.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
278×associate-*r*
226×add0
225×log1p-expm1-u
225×expm1-log1p-u
219×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025250
1483193
Stop Event
node limit
Counts
7 → 300
Calls
Call 1
Inputs
(+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) -1)
(pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2)
(/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) -1) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1))
(/.f64 (-.f64 2 (*.f64 2 (/.f64 alpha beta))) 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 alpha (+.f64 alpha (+.f64 2 beta))) 2) 1)
(-.f64 (/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 4) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) 1)) (/.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) 1)))
(*.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) -1) 1)
(*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1) (-.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1))
(*.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) -1))
(*.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) -1)) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) -1)) 2) (cbrt.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) -1)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) -1)) (sqrt.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) -1)))
(*.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6)) (/.f64 1 (-.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 4) 1) (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) -1))))
(*.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 4) -1) (/.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) 1)))
(/.f64 1 (/.f64 (-.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 4) 1) (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) -1)) (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) 1) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 4) -1)))
(/.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) -1) 3) (+.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) -1) 2) (-.f64 0 (*.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) -1) 0))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6)) (-.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 4) 1) (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) -1)))
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(neg.f64 (/.f64 (+.f64 2 (*.f64 (/.f64 alpha beta) -2)) -2))
(sqrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 2))
(log.f64 (exp.f64 (-.f64 1 (/.f64 alpha beta))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (/.f64 alpha beta)))))
(cbrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 3))
(expm1.f64 (log1p.f64 (-.f64 1 (/.f64 alpha beta))))
(log1p.f64 (expm1.f64 (-.f64 1 (/.f64 alpha beta))))
(exp.f64 (log.f64 (-.f64 1 (/.f64 alpha beta))))
(exp.f64 (*.f64 (log.f64 (-.f64 1 (/.f64 alpha beta))) 1))
(fma.f64 (+.f64 2 (*.f64 (/.f64 alpha beta) -2)) 1/2 0)
(fma.f64 1 (-.f64 1 (/.f64 alpha beta)) 0)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha beta))) 2) (cbrt.f64 (-.f64 1 (/.f64 alpha beta))) 0)
(fma.f64 (sqrt.f64 (-.f64 1 (/.f64 alpha beta))) (sqrt.f64 (-.f64 1 (/.f64 alpha beta))) 0)
(+.f64 (/.f64 (*.f64 alpha 2) beta) 0)
(+.f64 0 (/.f64 (*.f64 alpha 2) beta))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 alpha 2) beta))) 1)
(/.f64 2 (/.f64 beta alpha))
(/.f64 1 (/.f64 beta (*.f64 alpha 2)))
(/.f64 (pow.f64 (/.f64 (*.f64 alpha 2) beta) 3) (+.f64 (*.f64 4 (pow.f64 (/.f64 alpha beta) 2)) (-.f64 0 (*.f64 (/.f64 (*.f64 alpha 2) beta) 0))))
(/.f64 (*.f64 alpha 2) beta)
(/.f64 (neg.f64 (*.f64 alpha 2)) (neg.f64 beta))
(/.f64 (-.f64 (*.f64 4 (pow.f64 (/.f64 alpha beta) 2)) 0) (-.f64 (/.f64 (*.f64 alpha 2) beta) 0))
(/.f64 (*.f64 (neg.f64 alpha) 2) (neg.f64 beta))
(/.f64 (*.f64 2 (neg.f64 alpha)) (neg.f64 beta))
(/.f64 (/.f64 (*.f64 alpha 2) 1) beta)
(/.f64 (/.f64 (*.f64 alpha 2) (cbrt.f64 (pow.f64 beta 2))) (cbrt.f64 beta))
(/.f64 (/.f64 (*.f64 alpha 2) (sqrt.f64 beta)) (sqrt.f64 beta))
(pow.f64 (/.f64 (*.f64 alpha 2) beta) 1)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 alpha 2) beta)) 3)
(pow.f64 (pow.f64 (/.f64 (*.f64 alpha 2) beta) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (*.f64 alpha 2) beta)) 2)
(sqrt.f64 (*.f64 4 (pow.f64 (/.f64 alpha beta) 2)))
(log.f64 (pow.f64 (exp.f64 2) (/.f64 alpha beta)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 alpha 2) beta))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 alpha 2) beta) 3))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 alpha 2) beta)))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 alpha 2) beta)))
(exp.f64 (log.f64 (/.f64 (*.f64 alpha 2) beta)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 alpha 2) beta)) 1))
(fma.f64 2 (/.f64 alpha beta) 0)
(fma.f64 (/.f64 alpha beta) 2 0)
(fma.f64 1 (/.f64 (*.f64 alpha 2) beta) 0)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 alpha 2) beta)) 2) (cbrt.f64 (/.f64 (*.f64 alpha 2) beta)) 0)
(fma.f64 (sqrt.f64 (/.f64 (*.f64 alpha 2) beta)) (sqrt.f64 (/.f64 (*.f64 alpha 2) beta)) 0)
(+.f64 (*.f64 4 (pow.f64 alpha -2)) 0)
(+.f64 (*.f64 4 (pow.f64 alpha -2)) (*.f64 (/.f64 2 alpha) 0))
(+.f64 (*.f64 4 (pow.f64 alpha -2)) (*.f64 0 (/.f64 2 alpha)))
(+.f64 0 (*.f64 4 (pow.f64 alpha -2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 4 (pow.f64 alpha -2)))) 1)
(*.f64 2 (*.f64 (/.f64 1 alpha) (/.f64 2 alpha)))
(*.f64 4 (pow.f64 alpha -2))
(*.f64 4 (*.f64 (/.f64 1 alpha) (/.f64 1 alpha)))
(*.f64 (*.f64 4 (pow.f64 alpha -2)) 1)
(*.f64 (/.f64 2 alpha) (/.f64 2 alpha))
(*.f64 1 (*.f64 4 (pow.f64 alpha -2)))
(*.f64 (cbrt.f64 (*.f64 4 (pow.f64 alpha -2))) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))))
(*.f64 (cbrt.f64 (*.f64 4 (pow.f64 alpha -2))) (*.f64 (cbrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)))
(*.f64 (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))) (cbrt.f64 (*.f64 4 (pow.f64 alpha -2))))
(*.f64 (sqrt.f64 (/.f64 2 alpha)) (*.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)))
(*.f64 -4 (/.f64 1 (neg.f64 (pow.f64 alpha 2))))
(*.f64 (pow.f64 alpha -2) 4)
(*.f64 (*.f64 (/.f64 2 alpha) (sqrt.f64 (/.f64 2 alpha))) (sqrt.f64 (/.f64 2 alpha)))
(*.f64 (*.f64 (/.f64 2 alpha) 2) (/.f64 1 alpha))
(*.f64 (*.f64 (/.f64 2 alpha) (cbrt.f64 (*.f64 4 (pow.f64 alpha -2)))) (cbrt.f64 (/.f64 2 alpha)))
(pow.f64 (*.f64 4 (pow.f64 alpha -2)) 1)
(pow.f64 (/.f64 2 alpha) 2)
(pow.f64 (cbrt.f64 (*.f64 4 (pow.f64 alpha -2))) 3)
(pow.f64 (*.f64 64 (pow.f64 (pow.f64 alpha -2) 3)) 1/3)
(pow.f64 (*.f64 (pow.f64 alpha 2) 1/4) -1)
(neg.f64 (*.f64 -4 (pow.f64 alpha -2)))
(sqrt.f64 (/.f64 16 (pow.f64 alpha 4)))
(log.f64 (pow.f64 (exp.f64 4) (pow.f64 alpha -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 4 (pow.f64 alpha -2)))))
(cbrt.f64 (*.f64 64 (pow.f64 (pow.f64 alpha -2) 3)))
(expm1.f64 (log1p.f64 (*.f64 4 (pow.f64 alpha -2))))
(log1p.f64 (expm1.f64 (*.f64 4 (pow.f64 alpha -2))))
(exp.f64 (log.f64 (*.f64 4 (pow.f64 alpha -2))))
(exp.f64 (*.f64 (log.f64 (*.f64 4 (pow.f64 alpha -2))) 1))
(fma.f64 4 (pow.f64 alpha -2) 0)
(fma.f64 (/.f64 2 alpha) (/.f64 2 alpha) 0)
(fma.f64 1 (*.f64 4 (pow.f64 alpha -2)) 0)
(fma.f64 (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))) (cbrt.f64 (*.f64 4 (pow.f64 alpha -2))) 0)
(+.f64 (/.f64 2 alpha) (*.f64 -4 (pow.f64 alpha -2)))
(+.f64 (/.f64 2 alpha) (*.f64 (*.f64 -4 (pow.f64 alpha -2)) 1))
(+.f64 (/.f64 2 alpha) (+.f64 0 (*.f64 -4 (pow.f64 alpha -2))))
(+.f64 (+.f64 (/.f64 2 alpha) (*.f64 -4 (pow.f64 alpha -2))) 0)
(+.f64 (+.f64 (/.f64 2 alpha) (*.f64 -4 (pow.f64 alpha -2))) (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (*.f64 4 (pow.f64 alpha -2))))
(+.f64 (+.f64 (/.f64 2 alpha) (*.f64 -4 (pow.f64 alpha -2))) (fma.f64 (*.f64 -4 (pow.f64 alpha -2)) 1 (*.f64 4 (pow.f64 alpha -2))))
(+.f64 (+.f64 (/.f64 2 alpha) (*.f64 -4 (pow.f64 alpha -2))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 4 (pow.f64 alpha -2)))) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))) (*.f64 4 (pow.f64 alpha -2))))
(+.f64 (+.f64 (/.f64 2 alpha) (*.f64 -4 (pow.f64 alpha -2))) (fma.f64 (neg.f64 (/.f64 2 alpha)) (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2))))
(+.f64 (*.f64 -4 (pow.f64 alpha -2)) (/.f64 2 alpha))
(+.f64 0 (+.f64 (/.f64 2 alpha) (*.f64 -4 (pow.f64 alpha -2))))
(*.f64 (+.f64 (/.f64 2 alpha) (*.f64 -4 (pow.f64 alpha -2))) 1)
(*.f64 1 (+.f64 (/.f64 2 alpha) (*.f64 -4 (pow.f64 alpha -2))))
(*.f64 (cbrt.f64 (+.f64 (/.f64 2 alpha) (*.f64 -4 (pow.f64 alpha -2)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 alpha) (*.f64 -4 (pow.f64 alpha -2)))) 2))
(*.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)))))
(*.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)))))
(*.f64 (-.f64 (*.f64 2 (pow.f64 alpha 2)) (*.f64 alpha 4)) (/.f64 1 (pow.f64 alpha 3)))
(*.f64 (-.f64 (/.f64 8 (pow.f64 alpha 3)) (*.f64 64 (pow.f64 (pow.f64 alpha -2) 3))) (/.f64 1 (+.f64 (*.f64 4 (pow.f64 alpha -2)) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 16 (pow.f64 alpha 4))))))
(*.f64 (-.f64 (*.f64 4 (pow.f64 alpha -2)) (/.f64 16 (pow.f64 alpha 4))) (/.f64 1 (+.f64 (*.f64 4 (pow.f64 alpha -2)) (/.f64 2 alpha))))
(*.f64 (+.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)) (-.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)))
(/.f64 1 (/.f64 (pow.f64 alpha 3) (-.f64 (*.f64 2 (pow.f64 alpha 2)) (*.f64 alpha 4))))
(/.f64 1 (/.f64 (+.f64 (*.f64 4 (pow.f64 alpha -2)) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 16 (pow.f64 alpha 4)))) (-.f64 (/.f64 8 (pow.f64 alpha 3)) (*.f64 64 (pow.f64 (pow.f64 alpha -2) 3)))))
(/.f64 1 (/.f64 (+.f64 (*.f64 4 (pow.f64 alpha -2)) (/.f64 2 alpha)) (-.f64 (*.f64 4 (pow.f64 alpha -2)) (/.f64 16 (pow.f64 alpha 4)))))
(/.f64 (pow.f64 (+.f64 (/.f64 2 alpha) (*.f64 -4 (pow.f64 alpha -2))) 3) (+.f64 (pow.f64 (+.f64 (/.f64 2 alpha) (*.f64 -4 (pow.f64 alpha -2))) 2) (-.f64 0 (*.f64 (+.f64 (/.f64 2 alpha) (*.f64 -4 (pow.f64 alpha -2))) 0))))
(/.f64 (-.f64 (*.f64 2 (pow.f64 alpha 2)) (*.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 8 (pow.f64 alpha 3)) (/.f64 16 (pow.f64 alpha 4)))))
(/.f64 (-.f64 (*.f64 4 (pow.f64 alpha -2)) (/.f64 16 (pow.f64 alpha 4))) (+.f64 (*.f64 4 (pow.f64 alpha -2)) (/.f64 2 alpha)))
(/.f64 (-.f64 (*.f64 2 (*.f64 (pow.f64 alpha 2) 1/4)) alpha) (*.f64 alpha (*.f64 (pow.f64 alpha 2) 1/4)))
(/.f64 (-.f64 (*.f64 2 (neg.f64 (pow.f64 alpha 2))) (*.f64 alpha -4)) (*.f64 alpha (neg.f64 (pow.f64 alpha 2))))
(/.f64 (-.f64 (pow.f64 alpha 2) (*.f64 (*.f64 alpha 1/2) 4)) (*.f64 (*.f64 alpha 1/2) (pow.f64 alpha 2)))
(/.f64 (-.f64 (*.f64 (pow.f64 alpha 2) 1/4) (*.f64 (*.f64 alpha 1/2) 1)) (*.f64 (*.f64 alpha 1/2) (*.f64 (pow.f64 alpha 2) 1/4)))
(/.f64 (-.f64 (neg.f64 (pow.f64 alpha 2)) (*.f64 (*.f64 alpha 1/2) -4)) (*.f64 (*.f64 alpha 1/2) (neg.f64 (pow.f64 alpha 2))))
(/.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 (*.f64 (pow.f64 alpha 2) 1/4)) (*.f64 (neg.f64 alpha) 1)) (*.f64 (neg.f64 alpha) (*.f64 (pow.f64 alpha 2) 1/4)))
(/.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 (-.f64 (*.f64 2 (pow.f64 alpha 2)) (*.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 8 (pow.f64 alpha 3)) (/.f64 16 (pow.f64 alpha 4))))))
(/.f64 (neg.f64 (-.f64 (*.f64 4 (pow.f64 alpha -2)) (/.f64 16 (pow.f64 alpha 4)))) (neg.f64 (+.f64 (*.f64 4 (pow.f64 alpha -2)) (/.f64 2 alpha))))
(/.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (pow.f64 (*.f64 -4 (pow.f64 alpha -2)) 3)) (+.f64 (*.f64 4 (pow.f64 alpha -2)) (-.f64 (*.f64 (*.f64 -4 (pow.f64 alpha -2)) (*.f64 -4 (pow.f64 alpha -2))) (*.f64 (/.f64 2 alpha) (*.f64 -4 (pow.f64 alpha -2))))))
(/.f64 (-.f64 (*.f64 4 (pow.f64 alpha -2)) (*.f64 (*.f64 -4 (pow.f64 alpha -2)) (*.f64 -4 (pow.f64 alpha -2)))) (-.f64 (/.f64 2 alpha) (*.f64 -4 (pow.f64 alpha -2))))
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 2 alpha) (*.f64 -4 (pow.f64 alpha -2))) 2) 0) (+.f64 (/.f64 2 alpha) (*.f64 -4 (pow.f64 alpha -2))))
(/.f64 (/.f64 (-.f64 (*.f64 2 (pow.f64 alpha 2)) (*.f64 alpha 4)) alpha) (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 2 (/.f64 1 alpha) (*.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)
(fma.f64 (cbrt.f64 (*.f64 4 (pow.f64 alpha -2))) (cbrt.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)
(fma.f64 (sqrt.f64 (/.f64 2 alpha)) (sqrt.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)

simplify204.0ms (1.8%)

Algorithm
egg-herbie
Rules
1196×distribute-rgt-in
1180×add0
1020×distribute-lft-in
1008×times-frac
374×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
089923790
1338623083
Stop Event
node limit
Counts
408 → 560
Calls
Call 1
Inputs
-1
(-.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 beta) 2)) 1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 beta) 2))) 1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3))) (+.f64 (*.f64 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 -2 (/.f64 (+.f64 2 beta) alpha))
(+.f64 (*.f64 -2 (/.f64 (+.f64 2 beta) alpha)) (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 2 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) 3) (pow.f64 alpha 3))) (+.f64 (*.f64 -2 (/.f64 (+.f64 2 beta) alpha)) (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 2 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) 3) (pow.f64 alpha 3))) (+.f64 (*.f64 -2 (/.f64 (+.f64 2 beta) alpha)) (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 4 (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4))) (+.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 4 (*.f64 2 beta)) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) alpha)) (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 2 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) 3) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) alpha)) (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 2 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) 3) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) alpha)) (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 4 (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4))) (+.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 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) 1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 alpha 2) beta) (pow.f64 (+.f64 2 alpha) 3))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2))) 1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 alpha 2) beta) (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)))) 1)
(-.f64 (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 alpha 2) (pow.f64 beta 3)) (pow.f64 (+.f64 2 alpha) 5))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 alpha 2) beta) (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2))))) 1)
-1
(-.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) 1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 2 alpha)) (pow.f64 beta 3))) (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))) 1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 2 alpha)) (pow.f64 beta 3))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 4))) (+.f64 (/.f64 (*.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 4)) (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))))) 1)
-1
(-.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) 1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 2 alpha)) (pow.f64 beta 3))) (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))) 1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 2 alpha)) (pow.f64 beta 3))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 4))) (+.f64 (/.f64 (*.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 4)) (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))))) 1)
(/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 beta) 2))
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(fma.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 2) (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)) 2) (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)) 0)
(fma.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) -1)
(fma.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)) (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)) 0)
(+.f64 (-.f64 1 (/.f64 alpha beta)) 0)
(+.f64 1 (neg.f64 (/.f64 alpha beta)))
(+.f64 0 (-.f64 1 (/.f64 alpha beta)))
(-.f64 1 (/.f64 alpha beta))
(-.f64 1 (-.f64 (/.f64 alpha beta) 0))
(-.f64 (exp.f64 (log1p.f64 (-.f64 1 (/.f64 alpha beta)))) 1)
(*.f64 (+.f64 2 (*.f64 (/.f64 alpha beta) -2)) 1/2)
(*.f64 (-.f64 1 (/.f64 alpha beta)) 1)
(*.f64 1 (-.f64 1 (/.f64 alpha beta)))
(*.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha beta))) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha beta))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha beta))) 2) (cbrt.f64 (-.f64 1 (/.f64 alpha beta))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 2 (*.f64 (/.f64 alpha beta) -2)) 2)) (*.f64 (cbrt.f64 (+.f64 2 (*.f64 (/.f64 alpha beta) -2))) 1/2))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 2 (*.f64 (/.f64 alpha beta) -2)) 2)) (/.f64 (cbrt.f64 (+.f64 2 (*.f64 (/.f64 alpha beta) -2))) 2))
(*.f64 (sqrt.f64 (-.f64 1 (/.f64 alpha beta))) (sqrt.f64 (-.f64 1 (/.f64 alpha beta))))
(*.f64 (sqrt.f64 (+.f64 2 (*.f64 (/.f64 alpha beta) -2))) (*.f64 (sqrt.f64 (+.f64 2 (*.f64 (/.f64 alpha beta) -2))) 1/2))
(*.f64 (sqrt.f64 (+.f64 2 (*.f64 (/.f64 alpha beta) -2))) (/.f64 (sqrt.f64 (+.f64 2 (*.f64 (/.f64 alpha beta) -2))) 2))
(*.f64 (+.f64 -2 (neg.f64 (*.f64 (/.f64 alpha beta) -2))) -1/2)
(*.f64 1/2 (+.f64 2 (*.f64 (/.f64 alpha beta) -2)))
(pow.f64 (-.f64 1 (/.f64 alpha beta)) 1)
(pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha beta))) 3)
(pow.f64 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 1 (/.f64 alpha beta))) 2)
(pow.f64 (/.f64 1 (-.f64 1 (/.f64 alpha beta))) -1)
(neg.f64 (/.f64 (+.f64 2 (*.f64 (/.f64 alpha beta) -2)) -2))
(sqrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 2))
(log.f64 (exp.f64 (-.f64 1 (/.f64 alpha beta))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (/.f64 alpha beta)))))
(cbrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 3))
(expm1.f64 (log1p.f64 (-.f64 1 (/.f64 alpha beta))))
(log1p.f64 (expm1.f64 (-.f64 1 (/.f64 alpha beta))))
(exp.f64 (log.f64 (-.f64 1 (/.f64 alpha beta))))
(exp.f64 (*.f64 (log.f64 (-.f64 1 (/.f64 alpha beta))) 1))
(fma.f64 (+.f64 2 (*.f64 (/.f64 alpha beta) -2)) 1/2 0)
(fma.f64 1 (-.f64 1 (/.f64 alpha beta)) 0)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha beta))) 2) (cbrt.f64 (-.f64 1 (/.f64 alpha beta))) 0)
(fma.f64 (sqrt.f64 (-.f64 1 (/.f64 alpha beta))) (sqrt.f64 (-.f64 1 (/.f64 alpha beta))) 0)
(+.f64 (/.f64 (*.f64 alpha 2) beta) 0)
(+.f64 0 (/.f64 (*.f64 alpha 2) beta))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 alpha 2) beta))) 1)
(/.f64 2 (/.f64 beta alpha))
(/.f64 1 (/.f64 beta (*.f64 alpha 2)))
(/.f64 (pow.f64 (/.f64 (*.f64 alpha 2) beta) 3) (+.f64 (*.f64 4 (pow.f64 (/.f64 alpha beta) 2)) (-.f64 0 (*.f64 (/.f64 (*.f64 alpha 2) beta) 0))))
(/.f64 (*.f64 alpha 2) beta)
(/.f64 (neg.f64 (*.f64 alpha 2)) (neg.f64 beta))
(/.f64 (-.f64 (*.f64 4 (pow.f64 (/.f64 alpha beta) 2)) 0) (-.f64 (/.f64 (*.f64 alpha 2) beta) 0))
(/.f64 (*.f64 (neg.f64 alpha) 2) (neg.f64 beta))
(/.f64 (*.f64 2 (neg.f64 alpha)) (neg.f64 beta))
(/.f64 (/.f64 (*.f64 alpha 2) 1) beta)
(/.f64 (/.f64 (*.f64 alpha 2) (cbrt.f64 (pow.f64 beta 2))) (cbrt.f64 beta))
(/.f64 (/.f64 (*.f64 alpha 2) (sqrt.f64 beta)) (sqrt.f64 beta))
(pow.f64 (/.f64 (*.f64 alpha 2) beta) 1)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 alpha 2) beta)) 3)
(pow.f64 (pow.f64 (/.f64 (*.f64 alpha 2) beta) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (*.f64 alpha 2) beta)) 2)
(sqrt.f64 (*.f64 4 (pow.f64 (/.f64 alpha beta) 2)))
(log.f64 (pow.f64 (exp.f64 2) (/.f64 alpha beta)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 alpha 2) beta))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 alpha 2) beta) 3))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 alpha 2) beta)))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 alpha 2) beta)))
(exp.f64 (log.f64 (/.f64 (*.f64 alpha 2) beta)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 alpha 2) beta)) 1))
(fma.f64 2 (/.f64 alpha beta) 0)
(fma.f64 (/.f64 alpha beta) 2 0)
(fma.f64 1 (/.f64 (*.f64 alpha 2) beta) 0)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 alpha 2) beta)) 2) (cbrt.f64 (/.f64 (*.f64 alpha 2) beta)) 0)
(fma.f64 (sqrt.f64 (/.f64 (*.f64 alpha 2) beta)) (sqrt.f64 (/.f64 (*.f64 alpha 2) beta)) 0)
(+.f64 (*.f64 4 (pow.f64 alpha -2)) 0)
(+.f64 (*.f64 4 (pow.f64 alpha -2)) (*.f64 (/.f64 2 alpha) 0))
(+.f64 (*.f64 4 (pow.f64 alpha -2)) (*.f64 0 (/.f64 2 alpha)))
(+.f64 0 (*.f64 4 (pow.f64 alpha -2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 4 (pow.f64 alpha -2)))) 1)
(*.f64 2 (*.f64 (/.f64 1 alpha) (/.f64 2 alpha)))
(*.f64 4 (pow.f64 alpha -2))
(*.f64 4 (*.f64 (/.f64 1 alpha) (/.f64 1 alpha)))
(*.f64 (*.f64 4 (pow.f64 alpha -2)) 1)
(*.f64 (/.f64 2 alpha) (/.f64 2 alpha))
(*.f64 1 (*.f64 4 (pow.f64 alpha -2)))
(*.f64 (cbrt.f64 (*.f64 4 (pow.f64 alpha -2))) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))))
(*.f64 (cbrt.f64 (*.f64 4 (pow.f64 alpha -2))) (*.f64 (cbrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)))
(*.f64 (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))) (cbrt.f64 (*.f64 4 (pow.f64 alpha -2))))
(*.f64 (sqrt.f64 (/.f64 2 alpha)) (*.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)))
(*.f64 -4 (/.f64 1 (neg.f64 (pow.f64 alpha 2))))
(*.f64 (pow.f64 alpha -2) 4)
(*.f64 (*.f64 (/.f64 2 alpha) (sqrt.f64 (/.f64 2 alpha))) (sqrt.f64 (/.f64 2 alpha)))
(*.f64 (*.f64 (/.f64 2 alpha) 2) (/.f64 1 alpha))
(*.f64 (*.f64 (/.f64 2 alpha) (cbrt.f64 (*.f64 4 (pow.f64 alpha -2)))) (cbrt.f64 (/.f64 2 alpha)))
(pow.f64 (*.f64 4 (pow.f64 alpha -2)) 1)
(pow.f64 (/.f64 2 alpha) 2)
(pow.f64 (cbrt.f64 (*.f64 4 (pow.f64 alpha -2))) 3)
(pow.f64 (*.f64 64 (pow.f64 (pow.f64 alpha -2) 3)) 1/3)
(pow.f64 (*.f64 (pow.f64 alpha 2) 1/4) -1)
(neg.f64 (*.f64 -4 (pow.f64 alpha -2)))
(sqrt.f64 (/.f64 16 (pow.f64 alpha 4)))
(log.f64 (pow.f64 (exp.f64 4) (pow.f64 alpha -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 4 (pow.f64 alpha -2)))))
(cbrt.f64 (*.f64 64 (pow.f64 (pow.f64 alpha -2) 3)))
(expm1.f64 (log1p.f64 (*.f64 4 (pow.f64 alpha -2))))
(log1p.f64 (expm1.f64 (*.f64 4 (pow.f64 alpha -2))))
(exp.f64 (log.f64 (*.f64 4 (pow.f64 alpha -2))))
(exp.f64 (*.f64 (log.f64 (*.f64 4 (pow.f64 alpha -2))) 1))
(fma.f64 4 (pow.f64 alpha -2) 0)
(fma.f64 (/.f64 2 alpha) (/.f64 2 alpha) 0)
(fma.f64 1 (*.f64 4 (pow.f64 alpha -2)) 0)
(fma.f64 (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))) (cbrt.f64 (*.f64 4 (pow.f64 alpha -2))) 0)
(+.f64 (/.f64 2 alpha) (*.f64 -4 (pow.f64 alpha -2)))
(+.f64 (/.f64 2 alpha) (*.f64 (*.f64 -4 (pow.f64 alpha -2)) 1))
(+.f64 (/.f64 2 alpha) (+.f64 0 (*.f64 -4 (pow.f64 alpha -2))))
(+.f64 (+.f64 (/.f64 2 alpha) (*.f64 -4 (pow.f64 alpha -2))) 0)
(+.f64 (+.f64 (/.f64 2 alpha) (*.f64 -4 (pow.f64 alpha -2))) (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (*.f64 4 (pow.f64 alpha -2))))
(+.f64 (+.f64 (/.f64 2 alpha) (*.f64 -4 (pow.f64 alpha -2))) (fma.f64 (*.f64 -4 (pow.f64 alpha -2)) 1 (*.f64 4 (pow.f64 alpha -2))))
(+.f64 (+.f64 (/.f64 2 alpha) (*.f64 -4 (pow.f64 alpha -2))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 4 (pow.f64 alpha -2)))) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))) (*.f64 4 (pow.f64 alpha -2))))
(+.f64 (+.f64 (/.f64 2 alpha) (*.f64 -4 (pow.f64 alpha -2))) (fma.f64 (neg.f64 (/.f64 2 alpha)) (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2))))
(+.f64 (*.f64 -4 (pow.f64 alpha -2)) (/.f64 2 alpha))
(+.f64 0 (+.f64 (/.f64 2 alpha) (*.f64 -4 (pow.f64 alpha -2))))
(*.f64 (+.f64 (/.f64 2 alpha) (*.f64 -4 (pow.f64 alpha -2))) 1)
(*.f64 1 (+.f64 (/.f64 2 alpha) (*.f64 -4 (pow.f64 alpha -2))))
(*.f64 (cbrt.f64 (+.f64 (/.f64 2 alpha) (*.f64 -4 (pow.f64 alpha -2)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 alpha) (*.f64 -4 (pow.f64 alpha -2)))) 2))
(*.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)))))
(*.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)))))
(*.f64 (-.f64 (*.f64 2 (pow.f64 alpha 2)) (*.f64 alpha 4)) (/.f64 1 (pow.f64 alpha 3)))
(*.f64 (-.f64 (/.f64 8 (pow.f64 alpha 3)) (*.f64 64 (pow.f64 (pow.f64 alpha -2) 3))) (/.f64 1 (+.f64 (*.f64 4 (pow.f64 alpha -2)) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 16 (pow.f64 alpha 4))))))
(*.f64 (-.f64 (*.f64 4 (pow.f64 alpha -2)) (/.f64 16 (pow.f64 alpha 4))) (/.f64 1 (+.f64 (*.f64 4 (pow.f64 alpha -2)) (/.f64 2 alpha))))
(*.f64 (+.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)) (-.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)))
(/.f64 1 (/.f64 (pow.f64 alpha 3) (-.f64 (*.f64 2 (pow.f64 alpha 2)) (*.f64 alpha 4))))
(/.f64 1 (/.f64 (+.f64 (*.f64 4 (pow.f64 alpha -2)) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 16 (pow.f64 alpha 4)))) (-.f64 (/.f64 8 (pow.f64 alpha 3)) (*.f64 64 (pow.f64 (pow.f64 alpha -2) 3)))))
(/.f64 1 (/.f64 (+.f64 (*.f64 4 (pow.f64 alpha -2)) (/.f64 2 alpha)) (-.f64 (*.f64 4 (pow.f64 alpha -2)) (/.f64 16 (pow.f64 alpha 4)))))
(/.f64 (pow.f64 (+.f64 (/.f64 2 alpha) (*.f64 -4 (pow.f64 alpha -2))) 3) (+.f64 (pow.f64 (+.f64 (/.f64 2 alpha) (*.f64 -4 (pow.f64 alpha -2))) 2) (-.f64 0 (*.f64 (+.f64 (/.f64 2 alpha) (*.f64 -4 (pow.f64 alpha -2))) 0))))
(/.f64 (-.f64 (*.f64 2 (pow.f64 alpha 2)) (*.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 8 (pow.f64 alpha 3)) (/.f64 16 (pow.f64 alpha 4)))))
(/.f64 (-.f64 (*.f64 4 (pow.f64 alpha -2)) (/.f64 16 (pow.f64 alpha 4))) (+.f64 (*.f64 4 (pow.f64 alpha -2)) (/.f64 2 alpha)))
(/.f64 (-.f64 (*.f64 2 (*.f64 (pow.f64 alpha 2) 1/4)) alpha) (*.f64 alpha (*.f64 (pow.f64 alpha 2) 1/4)))
(/.f64 (-.f64 (*.f64 2 (neg.f64 (pow.f64 alpha 2))) (*.f64 alpha -4)) (*.f64 alpha (neg.f64 (pow.f64 alpha 2))))
(/.f64 (-.f64 (pow.f64 alpha 2) (*.f64 (*.f64 alpha 1/2) 4)) (*.f64 (*.f64 alpha 1/2) (pow.f64 alpha 2)))
(/.f64 (-.f64 (*.f64 (pow.f64 alpha 2) 1/4) (*.f64 (*.f64 alpha 1/2) 1)) (*.f64 (*.f64 alpha 1/2) (*.f64 (pow.f64 alpha 2) 1/4)))
(/.f64 (-.f64 (neg.f64 (pow.f64 alpha 2)) (*.f64 (*.f64 alpha 1/2) -4)) (*.f64 (*.f64 alpha 1/2) (neg.f64 (pow.f64 alpha 2))))
(/.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 (*.f64 (pow.f64 alpha 2) 1/4)) (*.f64 (neg.f64 alpha) 1)) (*.f64 (neg.f64 alpha) (*.f64 (pow.f64 alpha 2) 1/4)))
(/.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 (-.f64 (*.f64 2 (pow.f64 alpha 2)) (*.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 8 (pow.f64 alpha 3)) (/.f64 16 (pow.f64 alpha 4))))))
(/.f64 (neg.f64 (-.f64 (*.f64 4 (pow.f64 alpha -2)) (/.f64 16 (pow.f64 alpha 4)))) (neg.f64 (+.f64 (*.f64 4 (pow.f64 alpha -2)) (/.f64 2 alpha))))
(/.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (pow.f64 (*.f64 -4 (pow.f64 alpha -2)) 3)) (+.f64 (*.f64 4 (pow.f64 alpha -2)) (-.f64 (*.f64 (*.f64 -4 (pow.f64 alpha -2)) (*.f64 -4 (pow.f64 alpha -2))) (*.f64 (/.f64 2 alpha) (*.f64 -4 (pow.f64 alpha -2))))))
(/.f64 (-.f64 (*.f64 4 (pow.f64 alpha -2)) (*.f64 (*.f64 -4 (pow.f64 alpha -2)) (*.f64 -4 (pow.f64 alpha -2)))) (-.f64 (/.f64 2 alpha) (*.f64 -4 (pow.f64 alpha -2))))
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 2 alpha) (*.f64 -4 (pow.f64 alpha -2))) 2) 0) (+.f64 (/.f64 2 alpha) (*.f64 -4 (pow.f64 alpha -2))))
(/.f64 (/.f64 (-.f64 (*.f64 2 (pow.f64 alpha 2)) (*.f64 alpha 4)) alpha) (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 2 (/.f64 1 alpha) (*.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)
(fma.f64 (cbrt.f64 (*.f64 4 (pow.f64 alpha -2))) (cbrt.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)
(fma.f64 (sqrt.f64 (/.f64 2 alpha)) (sqrt.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)
Outputs
-1
(-.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 beta) 2)) 1)
(+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 beta) 2)) -1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 beta) 2))) 1)
(+.f64 (fma.f64 -2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3)) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 beta) 2))) -1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3))) (+.f64 (*.f64 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 (fma.f64 -2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3)) (fma.f64 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 -2 (/.f64 (+.f64 2 beta) alpha))
(/.f64 (+.f64 -4 (*.f64 -2 beta)) alpha)
(+.f64 (*.f64 -2 (/.f64 (+.f64 2 beta) alpha)) (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))))
(fma.f64 -2 (/.f64 (+.f64 2 beta) alpha) (*.f64 3 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))))
(+.f64 (*.f64 -4 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3))) (+.f64 (*.f64 -2 (/.f64 (+.f64 2 beta) alpha)) (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)))))
(fma.f64 -4 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (fma.f64 -2 (/.f64 (+.f64 2 beta) alpha) (*.f64 3 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)))))
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-1
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1
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1
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(/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))
(pow.f64 (/.f64 alpha beta) 2)
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 2 alpha)) (pow.f64 beta 3))) (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)))
(fma.f64 -2 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 alpha 2)) (pow.f64 beta 3)) (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)))
(fma.f64 -2 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 alpha 2)) (pow.f64 beta 3)) (pow.f64 (/.f64 alpha beta) 2))
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-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)
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(-.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)
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(*.f64 -1 (/.f64 (+.f64 2 beta) alpha))
(neg.f64 (/.f64 (+.f64 2 beta) alpha))
(/.f64 (+.f64 2 beta) (neg.f64 alpha))
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(-.f64 (fma.f64 -2 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (-.f64 (*.f64 1/2 (+.f64 (/.f64 (*.f64 3 (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2)) (/.f64 (*.f64 5 (pow.f64 (+.f64 2 beta) 4)) (pow.f64 alpha 4)))) (/.f64 (+.f64 2 beta) alpha))) (fma.f64 -1/2 (*.f64 (+.f64 2 beta) (/.f64 (fma.f64 -2 (pow.f64 (+.f64 2 beta) 3) (*.f64 1/2 (+.f64 (*.f64 (+.f64 2 beta) (*.f64 1/2 (-.f64 (*.f64 3 (pow.f64 (+.f64 2 beta) 2)) (pow.f64 (+.f64 2 beta) 2)))) (pow.f64 (+.f64 2 beta) 3)))) (pow.f64 alpha 4))) (fma.f64 -1/2 (*.f64 (+.f64 2 beta) (/.f64 (*.f64 1/2 (-.f64 (*.f64 3 (pow.f64 (+.f64 2 beta) 2)) (pow.f64 (+.f64 2 beta) 2))) (pow.f64 alpha 3))) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (fma.f64 1/2 (/.f64 (*.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 1/2 (-.f64 (*.f64 3 (pow.f64 (+.f64 2 beta) 2)) (pow.f64 (+.f64 2 beta) 2)))) (pow.f64 alpha 4)) (*.f64 1/2 (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4)))))))))
(*.f64 -1/2 (/.f64 (+.f64 4 (*.f64 2 beta)) alpha))
(*.f64 (/.f64 (+.f64 4 (*.f64 2 beta)) alpha) -1/2)
(/.f64 (+.f64 -2 (*.f64 -1/2 (*.f64 2 beta))) alpha)
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 4 (*.f64 2 beta)) alpha)) (*.f64 1/2 (/.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 2 beta) 2)) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2)))) (*.f64 1/4 (/.f64 (*.f64 (+.f64 2 beta) (+.f64 4 (*.f64 2 beta))) (pow.f64 alpha 2))))
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(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 (pow.f64 (+.f64 2 beta) 3)) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 4 (*.f64 2 beta)))) (*.f64 1/2 (*.f64 (+.f64 2 beta) (-.f64 (*.f64 1/2 (+.f64 (*.f64 2 (pow.f64 (+.f64 2 beta) 2)) (pow.f64 (+.f64 2 beta) 2))) (*.f64 1/4 (*.f64 (+.f64 2 beta) (+.f64 4 (*.f64 2 beta))))))))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 4 (*.f64 2 beta)) alpha)) (*.f64 1/2 (/.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 2 beta) 2)) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))))) (*.f64 1/4 (/.f64 (*.f64 (+.f64 2 beta) (+.f64 4 (*.f64 2 beta))) (pow.f64 alpha 2))))
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(/.f64 1 (/.f64 (+.f64 (*.f64 4 (pow.f64 alpha -2)) (/.f64 2 alpha)) (-.f64 (*.f64 4 (pow.f64 alpha -2)) (/.f64 16 (pow.f64 alpha 4)))))
(*.f64 (-.f64 (*.f64 4 (pow.f64 alpha -2)) (/.f64 16 (pow.f64 alpha 4))) (/.f64 1 (fma.f64 4 (pow.f64 alpha -2) (/.f64 2 alpha))))
(/.f64 (fma.f64 4 (pow.f64 alpha -2) (/.f64 -16 (pow.f64 alpha 4))) (fma.f64 4 (pow.f64 alpha -2) (/.f64 2 alpha)))
(/.f64 (pow.f64 (+.f64 (/.f64 2 alpha) (*.f64 -4 (pow.f64 alpha -2))) 3) (+.f64 (pow.f64 (+.f64 (/.f64 2 alpha) (*.f64 -4 (pow.f64 alpha -2))) 2) (-.f64 0 (*.f64 (+.f64 (/.f64 2 alpha) (*.f64 -4 (pow.f64 alpha -2))) 0))))
(/.f64 (pow.f64 (fma.f64 -4 (pow.f64 alpha -2) (/.f64 2 alpha)) 3) (pow.f64 (fma.f64 -4 (pow.f64 alpha -2) (/.f64 2 alpha)) 2))
(/.f64 (-.f64 (*.f64 2 (pow.f64 alpha 2)) (*.f64 alpha 4)) (pow.f64 alpha 3))
(*.f64 (fma.f64 2 (pow.f64 alpha 2) (*.f64 4 (neg.f64 alpha))) (/.f64 1 (pow.f64 alpha 3)))
(/.f64 (fma.f64 2 (pow.f64 alpha 2) (*.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 8 (pow.f64 alpha 3)) (/.f64 16 (pow.f64 alpha 4)))))
(*.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (*.f64 -64 (pow.f64 (pow.f64 alpha -2) 3))) (/.f64 1 (fma.f64 4 (pow.f64 alpha -2) (+.f64 (/.f64 16 (pow.f64 alpha 4)) (/.f64 8 (pow.f64 alpha 3))))))
(/.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (*.f64 (pow.f64 (pow.f64 alpha -2) 3) -64)) (fma.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 4 (pow.f64 alpha -2)) (/.f64 2 alpha)))
(*.f64 (-.f64 (*.f64 4 (pow.f64 alpha -2)) (/.f64 16 (pow.f64 alpha 4))) (/.f64 1 (fma.f64 4 (pow.f64 alpha -2) (/.f64 2 alpha))))
(/.f64 (fma.f64 4 (pow.f64 alpha -2) (/.f64 -16 (pow.f64 alpha 4))) (fma.f64 4 (pow.f64 alpha -2) (/.f64 2 alpha)))
(/.f64 (-.f64 (*.f64 2 (*.f64 (pow.f64 alpha 2) 1/4)) alpha) (*.f64 alpha (*.f64 (pow.f64 alpha 2) 1/4)))
(/.f64 (fma.f64 2 (*.f64 (pow.f64 alpha 2) 1/4) (neg.f64 alpha)) (*.f64 (pow.f64 alpha 3) 1/4))
(/.f64 (-.f64 (*.f64 2 (neg.f64 (pow.f64 alpha 2))) (*.f64 alpha -4)) (*.f64 alpha (neg.f64 (pow.f64 alpha 2))))
(*.f64 (fma.f64 2 (pow.f64 alpha 2) (*.f64 4 (neg.f64 alpha))) (/.f64 1 (pow.f64 alpha 3)))
(/.f64 (fma.f64 2 (pow.f64 alpha 2) (*.f64 alpha -4)) (pow.f64 alpha 3))
(/.f64 (-.f64 (pow.f64 alpha 2) (*.f64 (*.f64 alpha 1/2) 4)) (*.f64 (*.f64 alpha 1/2) (pow.f64 alpha 2)))
(/.f64 (+.f64 (pow.f64 alpha 2) (*.f64 alpha -2)) (*.f64 (pow.f64 alpha 2) (*.f64 alpha 1/2)))
(/.f64 (/.f64 (fma.f64 alpha alpha (*.f64 alpha -2)) (*.f64 alpha 1/2)) (pow.f64 alpha 2))
(/.f64 (-.f64 (*.f64 (pow.f64 alpha 2) 1/4) (*.f64 (*.f64 alpha 1/2) 1)) (*.f64 (*.f64 alpha 1/2) (*.f64 (pow.f64 alpha 2) 1/4)))
(/.f64 (fma.f64 (pow.f64 alpha 2) 1/4 (neg.f64 (*.f64 alpha 1/2))) (*.f64 (*.f64 (pow.f64 alpha 2) (*.f64 alpha 1/2)) 1/4))
(/.f64 (fma.f64 (pow.f64 alpha 2) 1/4 (*.f64 alpha -1/2)) (*.f64 alpha (*.f64 1/2 (*.f64 (pow.f64 alpha 2) 1/4))))
(/.f64 (-.f64 (neg.f64 (pow.f64 alpha 2)) (*.f64 (*.f64 alpha 1/2) -4)) (*.f64 (*.f64 alpha 1/2) (neg.f64 (pow.f64 alpha 2))))
(/.f64 (+.f64 (pow.f64 alpha 2) (*.f64 alpha -2)) (*.f64 (pow.f64 alpha 2) (*.f64 alpha 1/2)))
(/.f64 (/.f64 (fma.f64 alpha alpha (*.f64 alpha -2)) (*.f64 alpha 1/2)) (pow.f64 alpha 2))
(/.f64 (-.f64 (*.f64 -2 (pow.f64 alpha 2)) (*.f64 (neg.f64 alpha) 4)) (*.f64 (neg.f64 alpha) (pow.f64 alpha 2)))
(*.f64 (fma.f64 2 (pow.f64 alpha 2) (*.f64 4 (neg.f64 alpha))) (/.f64 1 (pow.f64 alpha 3)))
(/.f64 (fma.f64 2 (pow.f64 alpha 2) (*.f64 alpha -4)) (pow.f64 alpha 3))
(/.f64 (-.f64 (*.f64 -2 (*.f64 (pow.f64 alpha 2) 1/4)) (*.f64 (neg.f64 alpha) 1)) (*.f64 (neg.f64 alpha) (*.f64 (pow.f64 alpha 2) 1/4)))
(/.f64 (-.f64 (*.f64 -2 (*.f64 (pow.f64 alpha 2) 1/4)) (neg.f64 alpha)) (*.f64 (neg.f64 (pow.f64 alpha 3)) 1/4))
(/.f64 (fma.f64 -2 (*.f64 (pow.f64 alpha 2) 1/4) alpha) (*.f64 (pow.f64 alpha 3) -1/4))
(/.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 (fma.f64 2 (pow.f64 alpha 2) (*.f64 4 (neg.f64 alpha))) (/.f64 1 (pow.f64 alpha 3)))
(/.f64 (fma.f64 2 (pow.f64 alpha 2) (*.f64 alpha -4)) (pow.f64 alpha 3))
(/.f64 (neg.f64 (-.f64 (*.f64 2 (pow.f64 alpha 2)) (*.f64 alpha 4))) (neg.f64 (pow.f64 alpha 3)))
(*.f64 (fma.f64 2 (pow.f64 alpha 2) (*.f64 4 (neg.f64 alpha))) (/.f64 1 (pow.f64 alpha 3)))
(/.f64 (fma.f64 2 (pow.f64 alpha 2) (*.f64 alpha -4)) (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 8 (pow.f64 alpha 3)) (/.f64 16 (pow.f64 alpha 4))))))
(/.f64 (neg.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (*.f64 -64 (pow.f64 (pow.f64 alpha -2) 3)))) (neg.f64 (fma.f64 4 (pow.f64 alpha -2) (+.f64 (/.f64 16 (pow.f64 alpha 4)) (/.f64 8 (pow.f64 alpha 3))))))
(*.f64 1 (/.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (*.f64 (pow.f64 (pow.f64 alpha -2) 3) -64)) (fma.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 4 (pow.f64 alpha -2)) (/.f64 2 alpha))))
(/.f64 (neg.f64 (-.f64 (*.f64 4 (pow.f64 alpha -2)) (/.f64 16 (pow.f64 alpha 4)))) (neg.f64 (fma.f64 4 (pow.f64 alpha -2) (/.f64 2 alpha))))
(/.f64 (fma.f64 4 (pow.f64 alpha -2) (/.f64 -16 (pow.f64 alpha 4))) (neg.f64 (fma.f64 -4 (pow.f64 alpha -2) (/.f64 -2 alpha))))
(/.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (pow.f64 (*.f64 -4 (pow.f64 alpha -2)) 3)) (+.f64 (*.f64 4 (pow.f64 alpha -2)) (-.f64 (*.f64 (*.f64 -4 (pow.f64 alpha -2)) (*.f64 -4 (pow.f64 alpha -2))) (*.f64 (/.f64 2 alpha) (*.f64 -4 (pow.f64 alpha -2))))))
(/.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (*.f64 -64 (pow.f64 (pow.f64 alpha -2) 3))) (fma.f64 4 (pow.f64 alpha -2) (*.f64 (*.f64 -4 (pow.f64 alpha -2)) (-.f64 (*.f64 -4 (pow.f64 alpha -2)) (/.f64 2 alpha)))))
(/.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (*.f64 (pow.f64 (pow.f64 alpha -2) 3) -64)) (fma.f64 4 (pow.f64 alpha -2) (*.f64 (*.f64 -4 (pow.f64 alpha -2)) (fma.f64 -4 (pow.f64 alpha -2) (/.f64 -2 alpha)))))
(/.f64 (-.f64 (*.f64 4 (pow.f64 alpha -2)) (*.f64 (*.f64 -4 (pow.f64 alpha -2)) (*.f64 -4 (pow.f64 alpha -2)))) (-.f64 (/.f64 2 alpha) (*.f64 -4 (pow.f64 alpha -2))))
(/.f64 (-.f64 (*.f64 4 (pow.f64 alpha -2)) (*.f64 16 (*.f64 (pow.f64 alpha -2) (pow.f64 alpha -2)))) (fma.f64 4 (pow.f64 alpha -2) (/.f64 2 alpha)))
(/.f64 (fma.f64 4 (pow.f64 alpha -2) (*.f64 -16 (pow.f64 alpha -4))) (fma.f64 4 (pow.f64 alpha -2) (/.f64 2 alpha)))
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 2 alpha) (*.f64 -4 (pow.f64 alpha -2))) 2) 0) (+.f64 (/.f64 2 alpha) (*.f64 -4 (pow.f64 alpha -2))))
(/.f64 (pow.f64 (fma.f64 -4 (pow.f64 alpha -2) (/.f64 2 alpha)) 2) (fma.f64 -4 (pow.f64 alpha -2) (/.f64 2 alpha)))
(/.f64 (/.f64 (-.f64 (*.f64 2 (pow.f64 alpha 2)) (*.f64 alpha 4)) alpha) (pow.f64 alpha 2))
(*.f64 (fma.f64 2 (pow.f64 alpha 2) (*.f64 4 (neg.f64 alpha))) (/.f64 1 (pow.f64 alpha 3)))
(/.f64 (fma.f64 2 (pow.f64 alpha 2) (*.f64 alpha -4)) (pow.f64 alpha 3))
(pow.f64 (+.f64 (/.f64 2 alpha) (*.f64 -4 (pow.f64 alpha -2))) 1)
(fma.f64 -4 (pow.f64 alpha -2) (/.f64 2 alpha))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 2 alpha) (*.f64 -4 (pow.f64 alpha -2)))) 3)
(fma.f64 -4 (pow.f64 alpha -2) (/.f64 2 alpha))
(pow.f64 (pow.f64 (+.f64 (/.f64 2 alpha) (*.f64 -4 (pow.f64 alpha -2))) 3) 1/3)
(fma.f64 -4 (pow.f64 alpha -2) (/.f64 2 alpha))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 2 alpha) (*.f64 -4 (pow.f64 alpha -2)))) 2)
(fma.f64 -4 (pow.f64 alpha -2) (/.f64 2 alpha))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 2 alpha) (*.f64 -4 (pow.f64 alpha -2))) 2))
(sqrt.f64 (pow.f64 (fma.f64 -4 (pow.f64 alpha -2) (/.f64 2 alpha)) 2))
(fabs.f64 (fma.f64 -4 (pow.f64 alpha -2) (/.f64 2 alpha)))
(log.f64 (exp.f64 (+.f64 (/.f64 2 alpha) (*.f64 -4 (pow.f64 alpha -2)))))
(fma.f64 -4 (pow.f64 alpha -2) (/.f64 2 alpha))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 2 alpha) (*.f64 -4 (pow.f64 alpha -2))))))
(fma.f64 -4 (pow.f64 alpha -2) (/.f64 2 alpha))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 2 alpha) (*.f64 -4 (pow.f64 alpha -2))) 3))
(fma.f64 -4 (pow.f64 alpha -2) (/.f64 2 alpha))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 2 alpha) (*.f64 -4 (pow.f64 alpha -2)))))
(expm1.f64 (log1p.f64 (fma.f64 -4 (pow.f64 alpha -2) (/.f64 2 alpha))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 2 alpha) (*.f64 -4 (pow.f64 alpha -2)))))
(fma.f64 -4 (pow.f64 alpha -2) (/.f64 2 alpha))
(exp.f64 (log.f64 (+.f64 (/.f64 2 alpha) (*.f64 -4 (pow.f64 alpha -2)))))
(fma.f64 -4 (pow.f64 alpha -2) (/.f64 2 alpha))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 2 alpha) (*.f64 -4 (pow.f64 alpha -2)))) 1))
(fma.f64 -4 (pow.f64 alpha -2) (/.f64 2 alpha))
(fma.f64 2 (/.f64 1 alpha) (*.f64 -4 (pow.f64 alpha -2)))
(fma.f64 -4 (pow.f64 alpha -2) (/.f64 2 alpha))
(fma.f64 1 (/.f64 2 alpha) (*.f64 -4 (pow.f64 alpha -2)))
(fma.f64 -4 (pow.f64 alpha -2) (/.f64 2 alpha))
(fma.f64 1 (+.f64 (/.f64 2 alpha) (*.f64 -4 (pow.f64 alpha -2))) 0)
(fma.f64 -4 (pow.f64 alpha -2) (/.f64 2 alpha))
(fma.f64 (cbrt.f64 (*.f64 4 (pow.f64 alpha -2))) (cbrt.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)
(fma.f64 -4 (pow.f64 alpha -2) (/.f64 2 alpha))
(fma.f64 (sqrt.f64 (/.f64 2 alpha)) (sqrt.f64 (/.f64 2 alpha)) (*.f64 -4 (pow.f64 alpha -2)))
(fma.f64 -4 (pow.f64 alpha -2) (/.f64 2 alpha))
(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)
(fma.f64 -4 (pow.f64 alpha -2) (/.f64 2 alpha))

eval553.0ms (4.8%)

Compiler

Compiled 27369 to 20595 computations (24.8% saved)

prune203.0ms (1.7%)

Pruning

16 alts after pruning (10 fresh and 6 done)

PrunedKeptTotal
New7184722
Fresh369
Picked325
Done044
Total72416740
Accuracy
99.9%
Counts
740 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
30.6%
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
25.1%
(/.f64 (/.f64 2 alpha) 2)
44.5%
(/.f64 (-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2) (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) (/.f64 1 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))) 2)
74.5%
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 (/.f64 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) alpha) (+.f64 alpha (+.f64 2 beta))) -1) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1))) 2)
30.6%
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 2 beta) (neg.f64 alpha))) 2)
74.5%
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
23.4%
(/.f64 (-.f64 (/.f64 2 alpha) (*.f64 (/.f64 2 alpha) (/.f64 2 alpha))) 2)
28.9%
(/.f64 (-.f64 (*.f64 (-.f64 -2 beta) (/.f64 (+.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 2)
31.8%
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
47.3%
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
44.9%
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
73.6%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
71.1%
(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
34.6%
(-.f64 1 (/.f64 alpha beta))
3.8%
(-.f64 1/2 1/2)
38.8%
1
Compiler

Compiled 430 to 319 computations (25.8% saved)

localize490.0ms (4.2%)

Localize:

Found 7 expressions with local error:

NewAccuracyProgram
100.0%
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 2 beta) (neg.f64 alpha)))
100.0%
(/.f64 beta (+.f64 beta (+.f64 alpha 2)))
100.0%
(/.f64 (+.f64 2 beta) (neg.f64 alpha))
100.0%
(/.f64 alpha (+.f64 alpha (+.f64 2 beta)))
99.9%
(/.f64 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) alpha) (+.f64 alpha (+.f64 2 beta)))
99.9%
(*.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) alpha)
73.7%
(+.f64 (/.f64 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) alpha) (+.f64 alpha (+.f64 2 beta))) -1)
Compiler

Compiled 307 to 194 computations (36.8% saved)

series49.0ms (0.4%)

Counts
6 → 144
Calls

36 calls:

TimeVariablePointExpression
5.0ms
alpha
@inf
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 2 beta) (neg.f64 alpha)))
5.0ms
alpha
@-inf
(/.f64 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) alpha) (+.f64 alpha (+.f64 2 beta)))
3.0ms
beta
@0
(/.f64 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) alpha) (+.f64 alpha (+.f64 2 beta)))
3.0ms
alpha
@0
(+.f64 (/.f64 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) alpha) (+.f64 alpha (+.f64 2 beta))) -1)
2.0ms
beta
@inf
(+.f64 (/.f64 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) alpha) (+.f64 alpha (+.f64 2 beta))) -1)

rewrite223.0ms (1.9%)

Algorithm
batch-egg-rewrite
Rules
590×log1p-expm1-u
244×associate-*r*
206×frac-times
188×times-frac
182×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022272
1406207
27308207
Stop Event
node limit
Counts
6 → 304
Calls
Call 1
Inputs
(+.f64 (/.f64 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) alpha) (+.f64 alpha (+.f64 2 beta))) -1)
(*.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) alpha)
(/.f64 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) alpha) (+.f64 alpha (+.f64 2 beta)))
(/.f64 alpha (+.f64 alpha (+.f64 2 beta)))
(/.f64 (+.f64 2 beta) (neg.f64 alpha))
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 2 beta) (neg.f64 alpha)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) -1))) 1)
(-.f64 (/.f64 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) 2) (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) 1)) (/.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) 1)))
(*.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) -1) 1)
(*.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) -1))
(*.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) -1)) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) -1)) 2) (cbrt.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) -1)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) -1)) (sqrt.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) -1)))
(*.f64 (+.f64 -1 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) 3)) (/.f64 1 (+.f64 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) 2) (+.f64 1 (*.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) -1)))))
(*.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) 2) -1) (/.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) 1)))
(*.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) 2) (+.f64 1 (*.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) -1))) (+.f64 -1 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) 3))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) 1) (+.f64 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) 2) -1)))
(/.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) -1) 3) (+.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) -1) 2) (-.f64 0 (*.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) -1) 0))))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) 3)) (+.f64 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) 2) (+.f64 1 (*.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) -1))))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) 3)) (+.f64 1 (-.f64 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) 2) (*.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) -1))))
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(*.f64 (/.f64 (sqrt.f64 alpha) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (sqrt.f64 alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 alpha (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3))) (fma.f64 alpha alpha (*.f64 (+.f64 2 beta) (-.f64 (+.f64 2 beta) alpha))))
(*.f64 (/.f64 alpha (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta))))
(*.f64 (/.f64 alpha (-.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 beta) 2))) (-.f64 alpha (+.f64 2 beta)))
(*.f64 (/.f64 alpha (-.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)))
(pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)
(pow.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) 1/2)
(pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 3)
(pow.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 2)
(pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) alpha) -1)
(neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))
(sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2))
(fabs.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))
(log.f64 (exp.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))))
(cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3))
(cbrt.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(log1p.f64 (expm1.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (log.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (*.f64 (log.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 1))
(fma.f64 alpha (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 0)
(fma.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 0)
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 0)
(fma.f64 (sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 0)
(+.f64 (/.f64 (+.f64 2 beta) alpha) 0)
(+.f64 0 (/.f64 (+.f64 2 beta) alpha))
(-.f64 0 (/.f64 (+.f64 2 beta) alpha))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 2 beta) alpha))) 1)
(*.f64 (+.f64 2 beta) (/.f64 -1 alpha))
(*.f64 -1 (/.f64 (+.f64 2 beta) alpha))
(*.f64 (/.f64 (+.f64 2 beta) alpha) 1)
(*.f64 1 (/.f64 (+.f64 2 beta) alpha))
(*.f64 (cbrt.f64 (/.f64 (+.f64 2 beta) alpha)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 beta) alpha)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 beta) alpha)) 2) (cbrt.f64 (/.f64 (+.f64 2 beta) alpha)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 beta) alpha)) 2) (neg.f64 (cbrt.f64 (/.f64 (+.f64 2 beta) alpha))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (/.f64 (cbrt.f64 (+.f64 2 beta)) alpha))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (*.f64 (cbrt.f64 (+.f64 2 beta)) (/.f64 -1 alpha)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 2 beta) alpha)) (sqrt.f64 (/.f64 (+.f64 2 beta) alpha)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 2 beta) alpha)) (neg.f64 (sqrt.f64 (/.f64 (+.f64 2 beta) alpha))))
(*.f64 (sqrt.f64 (+.f64 2 beta)) (/.f64 (sqrt.f64 (+.f64 2 beta)) alpha))
(*.f64 (sqrt.f64 (+.f64 2 beta)) (*.f64 (sqrt.f64 (+.f64 2 beta)) (/.f64 -1 alpha)))
(*.f64 (+.f64 (neg.f64 beta) -2) (/.f64 -1 alpha))
(*.f64 (/.f64 -1 alpha) (+.f64 2 beta))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 2 beta) alpha))) (sqrt.f64 (/.f64 (+.f64 2 beta) alpha)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (+.f64 2 beta) (cbrt.f64 alpha)))
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 2 beta) (sqrt.f64 alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) 1) (/.f64 (cbrt.f64 (+.f64 2 beta)) alpha))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (+.f64 2 beta) alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (+.f64 2 beta)) (sqrt.f64 alpha)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 2 beta)) 1) (/.f64 (sqrt.f64 (+.f64 2 beta)) alpha))
(*.f64 (/.f64 (sqrt.f64 (+.f64 2 beta)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (+.f64 2 beta)) (cbrt.f64 alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) -1) (/.f64 (cbrt.f64 (+.f64 2 beta)) alpha))
(*.f64 (/.f64 (sqrt.f64 (+.f64 2 beta)) -1) (/.f64 (sqrt.f64 (+.f64 2 beta)) alpha))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 beta) alpha)) 2)) (cbrt.f64 (/.f64 (+.f64 2 beta) alpha)))
(pow.f64 (/.f64 (+.f64 2 beta) alpha) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 2 beta) alpha)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 2 beta) alpha)) 2)
(pow.f64 (/.f64 alpha (+.f64 2 beta)) -1)
(neg.f64 (/.f64 (+.f64 2 beta) alpha))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 2 beta) alpha)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 2 beta) alpha))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 2 beta) alpha)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 2 beta) alpha)))
(exp.f64 (log.f64 (/.f64 (+.f64 2 beta) alpha)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 2 beta) alpha)) 1))
(fma.f64 (+.f64 2 beta) (/.f64 -1 alpha) 0)
(fma.f64 1 (/.f64 (+.f64 2 beta) alpha) 0)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 beta) alpha)) 2) (cbrt.f64 (/.f64 (+.f64 2 beta) alpha)) 0)
(fma.f64 (sqrt.f64 (/.f64 (+.f64 2 beta) alpha)) (sqrt.f64 (/.f64 (+.f64 2 beta) alpha)) 0)
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))
(+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 2 beta) alpha))
(+.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 0)
(+.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (fma.f64 (/.f64 -1 alpha) (+.f64 2 beta) (/.f64 (+.f64 2 beta) alpha)))
(+.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (fma.f64 (/.f64 (+.f64 2 beta) alpha) 1 (/.f64 (+.f64 2 beta) alpha)))
(+.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (+.f64 2 beta) alpha))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 beta) alpha)) 2) (/.f64 (+.f64 2 beta) alpha)))
(+.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 2 beta) alpha))) (sqrt.f64 (/.f64 (+.f64 2 beta) alpha)) (/.f64 (+.f64 2 beta) alpha)))
(+.f64 0 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 1)
(*.f64 1 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) 2) (cbrt.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))))
(*.f64 (pow.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (/.f64 1 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (sqrt.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))))
(*.f64 (+.f64 (*.f64 alpha beta) (*.f64 (-.f64 alpha (+.f64 2 beta)) (+.f64 2 beta))) (/.f64 1 (*.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (/.f64 (+.f64 2 beta) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) alpha)))))
(*.f64 (+.f64 (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 (+.f64 2 beta) alpha))) (-.f64 (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 (+.f64 2 beta) alpha))))
(/.f64 1 (/.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 (*.f64 alpha beta) (*.f64 (-.f64 alpha (+.f64 2 beta)) (+.f64 2 beta)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (/.f64 (+.f64 2 beta) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) alpha))) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3))))
(/.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (pow.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2)))
(/.f64 (pow.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (pow.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 3) (+.f64 (pow.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (-.f64 0 (*.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 0))))
(/.f64 (+.f64 (*.f64 alpha beta) (*.f64 (-.f64 alpha (+.f64 2 beta)) (+.f64 2 beta))) (*.f64 alpha (+.f64 beta (+.f64 alpha 2))))
(/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3)) (+.f64 (pow.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (/.f64 (+.f64 2 beta) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) alpha))))
(/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3)) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 2) (/.f64 (+.f64 2 beta) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) alpha)))))
(/.f64 (+.f64 (*.f64 alpha beta) (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 alpha 2)))) (*.f64 alpha (+.f64 beta (+.f64 alpha 2))))
(/.f64 (+.f64 (*.f64 beta (/.f64 alpha (+.f64 2 beta))) (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 alpha (+.f64 2 beta))))
(/.f64 (+.f64 (*.f64 alpha beta) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (neg.f64 beta) -2))) (*.f64 alpha (+.f64 beta (+.f64 alpha 2))))
(/.f64 (+.f64 alpha (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) (+.f64 2 beta))) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) alpha))
(/.f64 (+.f64 (/.f64 alpha (+.f64 2 beta)) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) 1)) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) (/.f64 alpha (+.f64 2 beta))))
(/.f64 (+.f64 alpha (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) (+.f64 (neg.f64 beta) -2))) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) alpha))
(/.f64 (+.f64 (*.f64 (neg.f64 beta) alpha) (*.f64 (-.f64 alpha (+.f64 2 beta)) (+.f64 2 beta))) (*.f64 (-.f64 alpha (+.f64 2 beta)) alpha))
(/.f64 (+.f64 (*.f64 (neg.f64 beta) (/.f64 alpha (+.f64 2 beta))) (*.f64 (-.f64 alpha (+.f64 2 beta)) 1)) (*.f64 (-.f64 alpha (+.f64 2 beta)) (/.f64 alpha (+.f64 2 beta))))
(/.f64 (+.f64 (*.f64 (neg.f64 beta) alpha) (*.f64 (-.f64 alpha (+.f64 2 beta)) (+.f64 (neg.f64 beta) -2))) (*.f64 (-.f64 alpha (+.f64 2 beta)) alpha))
(/.f64 (-.f64 (*.f64 beta (/.f64 alpha (+.f64 2 beta))) (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 alpha (+.f64 2 beta))))
(/.f64 (-.f64 (*.f64 alpha beta) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (neg.f64 beta) -2))) (*.f64 alpha (+.f64 beta (+.f64 alpha 2))))
(/.f64 (-.f64 alpha (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) (+.f64 2 beta))) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) alpha))
(/.f64 (-.f64 (/.f64 alpha (+.f64 2 beta)) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) 1)) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) (/.f64 alpha (+.f64 2 beta))))
(/.f64 (-.f64 alpha (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) (+.f64 (neg.f64 beta) -2))) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) alpha))
(/.f64 (-.f64 (*.f64 (neg.f64 beta) alpha) (*.f64 (-.f64 alpha (+.f64 2 beta)) (+.f64 2 beta))) (*.f64 (-.f64 alpha (+.f64 2 beta)) alpha))
(/.f64 (-.f64 (*.f64 (neg.f64 beta) (/.f64 alpha (+.f64 2 beta))) (*.f64 (-.f64 alpha (+.f64 2 beta)) 1)) (*.f64 (-.f64 alpha (+.f64 2 beta)) (/.f64 alpha (+.f64 2 beta))))
(/.f64 (-.f64 (*.f64 (neg.f64 beta) alpha) (*.f64 (-.f64 alpha (+.f64 2 beta)) (+.f64 (neg.f64 beta) -2))) (*.f64 (-.f64 alpha (+.f64 2 beta)) alpha))
(/.f64 (neg.f64 (+.f64 (*.f64 alpha beta) (*.f64 (-.f64 alpha (+.f64 2 beta)) (+.f64 2 beta)))) (*.f64 alpha (+.f64 beta (+.f64 alpha 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (/.f64 (+.f64 2 beta) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) alpha)))))
(/.f64 (neg.f64 (pow.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2)) (neg.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) 0) (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (/.f64 (+.f64 (*.f64 alpha beta) (*.f64 (-.f64 alpha (+.f64 2 beta)) (+.f64 2 beta))) (+.f64 beta (+.f64 alpha 2))) alpha)
(pow.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) 2)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))))
(exp.f64 (log.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) 1))
(fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 2 beta) alpha))
(fma.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 2 beta) alpha))
(fma.f64 1 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.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)))) (/.f64 (+.f64 2 beta) alpha))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) 2) (cbrt.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.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)))) (/.f64 (+.f64 2 beta) alpha))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (sqrt.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) 0)

simplify566.0ms (4.9%)

Algorithm
egg-herbie
Rules
1264×add0
1134×associate-*r*
804×times-frac
700×associate-+r+
426×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
096228914
1371227591
Stop Event
node limit
Counts
448 → 663
Calls
Call 1
Inputs
-1
(-.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 beta) 2)) 1)
(-.f64 (+.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))) 1)
(-.f64 (+.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)))) 1)
(*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) alpha))
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(*.f64 -2 (/.f64 (+.f64 2 beta) alpha))
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(-.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) 1)
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-1
(-.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) 1)
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(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 4 (*.f64 2 alpha))) (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2))) (*.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 beta 4))) (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)))) 1)
-1
(-.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) 1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 2 alpha)) (pow.f64 beta 3))) (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))) 1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 2 alpha)) (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -4 (*.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 beta 4))) (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)))) 1)
(/.f64 (pow.f64 alpha 2) (+.f64 2 beta))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2))) (/.f64 (pow.f64 alpha 2) (+.f64 2 beta)))
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alpha
(+.f64 alpha (*.f64 -1 (+.f64 2 beta)))
(+.f64 alpha (+.f64 (*.f64 -1 (+.f64 2 beta)) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)))
(+.f64 alpha (+.f64 (*.f64 -1 (+.f64 2 beta)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha))))
alpha
(+.f64 alpha (*.f64 -1 (+.f64 2 beta)))
(+.f64 alpha (+.f64 (*.f64 -1 (+.f64 2 beta)) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)))
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(/.f64 (pow.f64 alpha 2) (+.f64 2 alpha))
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(/.f64 (pow.f64 alpha 2) beta)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 2 alpha)) (pow.f64 beta 2))) (/.f64 (pow.f64 alpha 2) beta))
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(/.f64 (pow.f64 alpha 2) beta)
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(/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 beta) 2))
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1
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1
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(/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2))
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(/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 4 (*.f64 2 alpha))) (pow.f64 beta 3))) (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 4 (*.f64 2 alpha))) (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2))) (*.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 beta 4))) (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))))
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(/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 2 alpha)) (pow.f64 beta 3))) (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 2 alpha)) (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -4 (*.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 beta 4))) (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 2 alpha)) (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -4 (*.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 beta 4))) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 2 alpha) (+.f64 (*.f64 -4 (*.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 beta 5))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 beta 5))) (/.f64 (pow.f64 alpha 2) (pow.f64 beta 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)))
(+.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)))
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1
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(*.f64 (+.f64 (*.f64 alpha beta) (*.f64 (-.f64 alpha (+.f64 2 beta)) (+.f64 2 beta))) (/.f64 1 (*.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (/.f64 (+.f64 2 beta) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) alpha)))))
(*.f64 (+.f64 (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 (+.f64 2 beta) alpha))) (-.f64 (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 (+.f64 2 beta) alpha))))
(/.f64 1 (/.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 (*.f64 alpha beta) (*.f64 (-.f64 alpha (+.f64 2 beta)) (+.f64 2 beta)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (/.f64 (+.f64 2 beta) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) alpha))) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3))))
(/.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (pow.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2)))
(/.f64 (pow.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (pow.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 3) (+.f64 (pow.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (-.f64 0 (*.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 0))))
(/.f64 (+.f64 (*.f64 alpha beta) (*.f64 (-.f64 alpha (+.f64 2 beta)) (+.f64 2 beta))) (*.f64 alpha (+.f64 beta (+.f64 alpha 2))))
(/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3)) (+.f64 (pow.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (/.f64 (+.f64 2 beta) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) alpha))))
(/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3)) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 2) (/.f64 (+.f64 2 beta) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) alpha)))))
(/.f64 (+.f64 (*.f64 alpha beta) (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 alpha 2)))) (*.f64 alpha (+.f64 beta (+.f64 alpha 2))))
(/.f64 (+.f64 (*.f64 beta (/.f64 alpha (+.f64 2 beta))) (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 alpha (+.f64 2 beta))))
(/.f64 (+.f64 (*.f64 alpha beta) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (neg.f64 beta) -2))) (*.f64 alpha (+.f64 beta (+.f64 alpha 2))))
(/.f64 (+.f64 alpha (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) (+.f64 2 beta))) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) alpha))
(/.f64 (+.f64 (/.f64 alpha (+.f64 2 beta)) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) 1)) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) (/.f64 alpha (+.f64 2 beta))))
(/.f64 (+.f64 alpha (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) (+.f64 (neg.f64 beta) -2))) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) alpha))
(/.f64 (+.f64 (*.f64 (neg.f64 beta) alpha) (*.f64 (-.f64 alpha (+.f64 2 beta)) (+.f64 2 beta))) (*.f64 (-.f64 alpha (+.f64 2 beta)) alpha))
(/.f64 (+.f64 (*.f64 (neg.f64 beta) (/.f64 alpha (+.f64 2 beta))) (*.f64 (-.f64 alpha (+.f64 2 beta)) 1)) (*.f64 (-.f64 alpha (+.f64 2 beta)) (/.f64 alpha (+.f64 2 beta))))
(/.f64 (+.f64 (*.f64 (neg.f64 beta) alpha) (*.f64 (-.f64 alpha (+.f64 2 beta)) (+.f64 (neg.f64 beta) -2))) (*.f64 (-.f64 alpha (+.f64 2 beta)) alpha))
(/.f64 (-.f64 (*.f64 beta (/.f64 alpha (+.f64 2 beta))) (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 alpha (+.f64 2 beta))))
(/.f64 (-.f64 (*.f64 alpha beta) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (neg.f64 beta) -2))) (*.f64 alpha (+.f64 beta (+.f64 alpha 2))))
(/.f64 (-.f64 alpha (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) (+.f64 2 beta))) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) alpha))
(/.f64 (-.f64 (/.f64 alpha (+.f64 2 beta)) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) 1)) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) (/.f64 alpha (+.f64 2 beta))))
(/.f64 (-.f64 alpha (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) (+.f64 (neg.f64 beta) -2))) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) alpha))
(/.f64 (-.f64 (*.f64 (neg.f64 beta) alpha) (*.f64 (-.f64 alpha (+.f64 2 beta)) (+.f64 2 beta))) (*.f64 (-.f64 alpha (+.f64 2 beta)) alpha))
(/.f64 (-.f64 (*.f64 (neg.f64 beta) (/.f64 alpha (+.f64 2 beta))) (*.f64 (-.f64 alpha (+.f64 2 beta)) 1)) (*.f64 (-.f64 alpha (+.f64 2 beta)) (/.f64 alpha (+.f64 2 beta))))
(/.f64 (-.f64 (*.f64 (neg.f64 beta) alpha) (*.f64 (-.f64 alpha (+.f64 2 beta)) (+.f64 (neg.f64 beta) -2))) (*.f64 (-.f64 alpha (+.f64 2 beta)) alpha))
(/.f64 (neg.f64 (+.f64 (*.f64 alpha beta) (*.f64 (-.f64 alpha (+.f64 2 beta)) (+.f64 2 beta)))) (*.f64 alpha (+.f64 beta (+.f64 alpha 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (/.f64 (+.f64 2 beta) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) alpha)))))
(/.f64 (neg.f64 (pow.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2)) (neg.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) 0) (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (/.f64 (+.f64 (*.f64 alpha beta) (*.f64 (-.f64 alpha (+.f64 2 beta)) (+.f64 2 beta))) (+.f64 beta (+.f64 alpha 2))) alpha)
(pow.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) 2)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))))
(exp.f64 (log.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) 1))
(fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 2 beta) alpha))
(fma.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 2 beta) alpha))
(fma.f64 1 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.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)))) (/.f64 (+.f64 2 beta) alpha))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) 2) (cbrt.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.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)))) (/.f64 (+.f64 2 beta) alpha))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (sqrt.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) 0)
Outputs
-1
(-.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 beta) 2)) 1)
(+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 beta) 2)) -1)
(-.f64 (+.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))) 1)
(+.f64 (fma.f64 -1 (*.f64 (pow.f64 alpha 3) (fma.f64 2 (/.f64 beta (pow.f64 (+.f64 2 beta) 4)) (/.f64 4 (pow.f64 (+.f64 2 beta) 4)))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 beta) 2))) -1)
(+.f64 (-.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 beta) 2)) (*.f64 (pow.f64 alpha 3) (fma.f64 2 (/.f64 beta (pow.f64 (+.f64 2 beta) 4)) (/.f64 4 (pow.f64 (+.f64 2 beta) 4))))) -1)
(-.f64 (+.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)))) 1)
(+.f64 (fma.f64 -1 (*.f64 (pow.f64 alpha 3) (fma.f64 2 (/.f64 beta (pow.f64 (+.f64 2 beta) 4)) (/.f64 4 (pow.f64 (+.f64 2 beta) 4)))) (fma.f64 -1 (*.f64 (pow.f64 alpha 4) (fma.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (/.f64 (fma.f64 2 (/.f64 beta (pow.f64 (+.f64 2 beta) 4)) (/.f64 4 (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)))) -1)
(+.f64 (-.f64 (-.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 beta) 2)) (*.f64 (pow.f64 alpha 4) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 4)) (*.f64 (+.f64 4 (*.f64 2 beta)) (/.f64 (fma.f64 2 (/.f64 beta (pow.f64 (+.f64 2 beta) 4)) (/.f64 4 (pow.f64 (+.f64 2 beta) 4))) (pow.f64 (+.f64 2 beta) 2)))))) (*.f64 (pow.f64 alpha 3) (fma.f64 2 (/.f64 beta (pow.f64 (+.f64 2 beta) 4)) (/.f64 4 (pow.f64 (+.f64 2 beta) 4))))) -1)
(*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) alpha))
(neg.f64 (/.f64 (+.f64 4 (*.f64 2 beta)) alpha))
(/.f64 (+.f64 4 (*.f64 2 beta)) (neg.f64 alpha))
(+.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 (+.f64 4 (*.f64 2 beta)) alpha) (/.f64 (fma.f64 -1 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))))
(-.f64 (/.f64 (+.f64 4 (*.f64 2 beta)) (neg.f64 alpha)) (/.f64 (-.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 (+.f64 4 (*.f64 2 beta)) 2)) (pow.f64 alpha 2)))
(+.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)))))
(fma.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) alpha) (*.f64 -1 (+.f64 (/.f64 (fma.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (fma.f64 -1 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2) (pow.f64 (+.f64 2 beta) 2))) (neg.f64 (*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 4 (*.f64 2 beta))))) (pow.f64 alpha 3)) (/.f64 (fma.f64 -1 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2)))))
(-.f64 (-.f64 (/.f64 (*.f64 1 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 (-.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 (+.f64 4 (*.f64 2 beta)) 2)) (pow.f64 (+.f64 2 beta) 2)))) (pow.f64 alpha 3)) (/.f64 (-.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 (+.f64 4 (*.f64 2 beta)) 2)) (pow.f64 alpha 2))) (/.f64 (+.f64 4 (*.f64 2 beta)) alpha))
(+.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 (*.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))))))) (*.f64 -1 (*.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 (+.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))))))
(fma.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) alpha) (fma.f64 -1 (/.f64 (*.f64 -1 (+.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (fma.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (fma.f64 -1 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2) (pow.f64 (+.f64 2 beta) 2))) (neg.f64 (*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 4 (*.f64 2 beta)))))) (*.f64 (pow.f64 (+.f64 2 beta) 2) (fma.f64 -1 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2) (pow.f64 (+.f64 2 beta) 2))))) (pow.f64 alpha 4)) (*.f64 -1 (+.f64 (/.f64 (fma.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (fma.f64 -1 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2) (pow.f64 (+.f64 2 beta) 2))) (neg.f64 (*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 4 (*.f64 2 beta))))) (pow.f64 alpha 3)) (/.f64 (fma.f64 -1 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))))))
(-.f64 (-.f64 (-.f64 (/.f64 (*.f64 1 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 (-.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 (+.f64 4 (*.f64 2 beta)) 2)) (pow.f64 (+.f64 2 beta) 2)))) (pow.f64 alpha 3)) (/.f64 (-.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 (+.f64 4 (*.f64 2 beta)) 2)) (pow.f64 alpha 2))) (/.f64 (-.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (*.f64 1 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 (-.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 (+.f64 4 (*.f64 2 beta)) 2)) (pow.f64 (+.f64 2 beta) 2))))) (*.f64 (pow.f64 (+.f64 2 beta) 2) (-.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 (+.f64 4 (*.f64 2 beta)) 2)))) (pow.f64 alpha 4))) (/.f64 (+.f64 4 (*.f64 2 beta)) alpha))
(*.f64 -2 (/.f64 (+.f64 2 beta) alpha))
(+.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))))
(fma.f64 -2 (/.f64 (+.f64 2 beta) alpha) (neg.f64 (/.f64 (*.f64 -3 (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))))
(fma.f64 -2 (/.f64 (+.f64 2 beta) alpha) (/.f64 (*.f64 3 (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2)))
(+.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))))))
(fma.f64 -2 (/.f64 (+.f64 2 beta) alpha) (fma.f64 -1 (/.f64 (*.f64 -3 (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2)) (*.f64 2 (+.f64 (*.f64 (+.f64 2 beta) (/.f64 (*.f64 -3 (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3))) (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3)))))
(+.f64 (fma.f64 -2 (/.f64 (+.f64 2 beta) alpha) (/.f64 (*.f64 3 (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))) (*.f64 2 (+.f64 (/.f64 (*.f64 (*.f64 (+.f64 2 beta) -3) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3)) (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3))))
(+.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 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 (*.f64 -4 (pow.f64 (+.f64 2 beta) 2)) (pow.f64 (+.f64 2 beta) 2)))) (*.f64 2 (*.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 (+.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)))))))
(fma.f64 -2 (/.f64 (+.f64 2 beta) alpha) (fma.f64 -1 (/.f64 (*.f64 -3 (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2)) (fma.f64 -1 (/.f64 (fma.f64 -1 (*.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 -3 (pow.f64 (+.f64 2 beta) 2))) (*.f64 2 (*.f64 (+.f64 2 beta) (*.f64 2 (+.f64 (*.f64 (+.f64 2 beta) (*.f64 -3 (pow.f64 (+.f64 2 beta) 2))) (pow.f64 (+.f64 2 beta) 3)))))) (pow.f64 alpha 4)) (*.f64 2 (+.f64 (*.f64 (+.f64 2 beta) (/.f64 (*.f64 -3 (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3))) (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3))))))
(+.f64 (fma.f64 -2 (/.f64 (+.f64 2 beta) alpha) (/.f64 (*.f64 3 (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))) (-.f64 (*.f64 2 (+.f64 (/.f64 (*.f64 (*.f64 (+.f64 2 beta) -3) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3)) (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3))) (/.f64 (+.f64 (*.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 3 (pow.f64 (+.f64 2 beta) 2))) (*.f64 (*.f64 2 (+.f64 2 beta)) (*.f64 2 (+.f64 (*.f64 (*.f64 (+.f64 2 beta) -3) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 (+.f64 2 beta) 3))))) (pow.f64 alpha 4))))
(-.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) 1)
(+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2)) -1)
(-.f64 (+.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))) 1)
(+.f64 (fma.f64 -1 (*.f64 (pow.f64 alpha 2) (/.f64 (*.f64 beta (+.f64 4 (*.f64 alpha 2))) (pow.f64 (+.f64 alpha 2) 4))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2))) -1)
(+.f64 (-.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (*.f64 (*.f64 (pow.f64 alpha 2) beta) (+.f64 4 (*.f64 alpha 2))) (pow.f64 (+.f64 alpha 2) 4))) -1)
(-.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.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 (*.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)))) 1)
(+.f64 (fma.f64 -1 (*.f64 (pow.f64 beta 2) (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)))) (fma.f64 -1 (*.f64 (pow.f64 alpha 2) (/.f64 (*.f64 beta (+.f64 4 (*.f64 alpha 2))) (pow.f64 (+.f64 alpha 2) 4))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2)))) -1)
(+.f64 (-.f64 (-.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (*.f64 (*.f64 (pow.f64 alpha 2) beta) (+.f64 4 (*.f64 alpha 2))) (pow.f64 (+.f64 alpha 2) 4))) (*.f64 (pow.f64 beta 2) (-.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)))))) -1)
(-.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.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 (*.f64 -1 (*.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 (*.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))))) 1)
(+.f64 (fma.f64 -1 (*.f64 (pow.f64 beta 2) (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)))) (fma.f64 -1 (*.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)))))) (fma.f64 -1 (*.f64 (pow.f64 alpha 2) (/.f64 (*.f64 beta (+.f64 4 (*.f64 alpha 2))) (pow.f64 (+.f64 alpha 2) 4))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2))))) -1)
(+.f64 (-.f64 (-.f64 (-.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (*.f64 (*.f64 (pow.f64 alpha 2) beta) (+.f64 4 (*.f64 alpha 2))) (pow.f64 (+.f64 alpha 2) 4))) (*.f64 (pow.f64 beta 3) (-.f64 (*.f64 (neg.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) (/.f64 (+.f64 4 (*.f64 alpha 2)) (pow.f64 (+.f64 alpha 2) 6)))))) (*.f64 (pow.f64 beta 2) (-.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)))))) -1)
-1
(-.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) 1)
(+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) -1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 4 (*.f64 2 alpha))) (pow.f64 beta 3))) (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))) 1)
(+.f64 (fma.f64 -1 (*.f64 (pow.f64 alpha 2) (/.f64 (+.f64 4 (*.f64 alpha 2)) (pow.f64 beta 3))) (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))) -1)
(+.f64 (-.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (*.f64 (pow.f64 alpha 2) (/.f64 (+.f64 4 (*.f64 alpha 2)) (pow.f64 beta 3)))) -1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 4 (*.f64 2 alpha))) (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2))) (*.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 beta 4))) (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)))) 1)
(+.f64 (fma.f64 -1 (*.f64 (pow.f64 alpha 2) (/.f64 (+.f64 4 (*.f64 alpha 2)) (pow.f64 beta 3))) (fma.f64 -1 (/.f64 (fma.f64 -1 (*.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 4 (*.f64 alpha 2)) 2)) (*.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2))) (pow.f64 beta 4)) (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)))) -1)
(+.f64 (-.f64 (-.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (/.f64 (-.f64 (*.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2)) (*.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 4 (*.f64 alpha 2)) 2))) (pow.f64 beta 4))) (*.f64 (pow.f64 alpha 2) (/.f64 (+.f64 4 (*.f64 alpha 2)) (pow.f64 beta 3)))) -1)
-1
(-.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) 1)
(+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) -1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 2 alpha)) (pow.f64 beta 3))) (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))) 1)
(+.f64 (fma.f64 -2 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 alpha 2)) (pow.f64 beta 3)) (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))) -1)
(+.f64 (fma.f64 -2 (*.f64 (pow.f64 alpha 2) (/.f64 (+.f64 alpha 2) (pow.f64 beta 3))) (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))) -1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 2 alpha)) (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -4 (*.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 beta 4))) (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)))) 1)
(+.f64 (fma.f64 -2 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 alpha 2)) (pow.f64 beta 3)) (fma.f64 -1 (/.f64 (*.f64 -3 (*.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2))) (pow.f64 beta 4)) (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)))) -1)
(+.f64 (+.f64 (fma.f64 -2 (*.f64 (pow.f64 alpha 2) (/.f64 (+.f64 alpha 2) (pow.f64 beta 3))) (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))) (/.f64 (*.f64 3 (*.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2))) (pow.f64 beta 4))) -1)
(/.f64 (pow.f64 alpha 2) (+.f64 2 beta))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2))) (/.f64 (pow.f64 alpha 2) (+.f64 2 beta)))
(fma.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2)) (/.f64 (pow.f64 alpha 2) (+.f64 2 beta)))
(-.f64 (/.f64 (pow.f64 alpha 2) (+.f64 2 beta)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2))) (+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 2 beta)) (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 2 beta) 3))))
(+.f64 (fma.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2)) (/.f64 (pow.f64 alpha 2) (+.f64 2 beta))) (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 2 beta) 3)))
(+.f64 (-.f64 (/.f64 (pow.f64 alpha 2) (+.f64 2 beta)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2))) (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 2 beta) 3)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 5) (pow.f64 (+.f64 2 beta) 4))) (+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 2 beta)) (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 2 beta) 3)))))
(fma.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2)) (fma.f64 -1 (/.f64 (pow.f64 alpha 5) (pow.f64 (+.f64 2 beta) 4)) (+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 2 beta)) (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 2 beta) 3)))))
(-.f64 (-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 2 beta)) (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 2 beta) 3))) (/.f64 (pow.f64 alpha 5) (pow.f64 (+.f64 2 beta) 4))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2)))
alpha
(+.f64 alpha (*.f64 -1 (+.f64 2 beta)))
(-.f64 alpha (+.f64 2 beta))
(+.f64 alpha (-.f64 -2 beta))
(+.f64 alpha (+.f64 (*.f64 -1 (+.f64 2 beta)) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)))
(+.f64 (-.f64 alpha (+.f64 2 beta)) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha))
(+.f64 (+.f64 alpha (-.f64 -2 beta)) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha))
(+.f64 alpha (+.f64 (*.f64 -1 (+.f64 2 beta)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha))))
(+.f64 (-.f64 alpha (+.f64 2 beta)) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)))
(+.f64 (+.f64 alpha (-.f64 -2 beta)) (-.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 2))))
alpha
(+.f64 alpha (*.f64 -1 (+.f64 2 beta)))
(-.f64 alpha (+.f64 2 beta))
(+.f64 alpha (-.f64 -2 beta))
(+.f64 alpha (+.f64 (*.f64 -1 (+.f64 2 beta)) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)))
(+.f64 (-.f64 alpha (+.f64 2 beta)) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha))
(+.f64 (+.f64 alpha (-.f64 -2 beta)) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha))
(+.f64 alpha (+.f64 (*.f64 -1 (+.f64 2 beta)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha))))
(+.f64 (-.f64 alpha (+.f64 2 beta)) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)))
(+.f64 (+.f64 alpha (-.f64 -2 beta)) (-.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 2))))
(/.f64 (pow.f64 alpha 2) (+.f64 2 alpha))
(/.f64 (pow.f64 alpha 2) (+.f64 alpha 2))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 alpha 2) beta) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (pow.f64 alpha 2) (+.f64 2 alpha)))
(fma.f64 -1 (/.f64 (*.f64 (pow.f64 alpha 2) beta) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (pow.f64 alpha 2) (+.f64 alpha 2)))
(-.f64 (/.f64 (pow.f64 alpha 2) (+.f64 alpha 2)) (*.f64 (pow.f64 alpha 2) (/.f64 beta (pow.f64 (+.f64 alpha 2) 2))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 alpha 2) beta) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (/.f64 (*.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (pow.f64 (+.f64 2 alpha) 3)) (/.f64 (pow.f64 alpha 2) (+.f64 2 alpha))))
(fma.f64 -1 (/.f64 (*.f64 (pow.f64 alpha 2) beta) (pow.f64 (+.f64 alpha 2) 2)) (+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 alpha 2)) (/.f64 (*.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (pow.f64 (+.f64 alpha 2) 3))))
(+.f64 (-.f64 (/.f64 (pow.f64 alpha 2) (+.f64 alpha 2)) (*.f64 (pow.f64 alpha 2) (/.f64 beta (pow.f64 (+.f64 alpha 2) 2)))) (/.f64 (*.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (pow.f64 (+.f64 alpha 2) 3)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 alpha 2) beta) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 alpha 2) (pow.f64 beta 3)) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 (/.f64 (*.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (pow.f64 (+.f64 2 alpha) 3)) (/.f64 (pow.f64 alpha 2) (+.f64 2 alpha)))))
(fma.f64 -1 (/.f64 (*.f64 (pow.f64 alpha 2) beta) (pow.f64 (+.f64 alpha 2) 2)) (fma.f64 -1 (*.f64 (pow.f64 alpha 2) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 4))) (+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 alpha 2)) (/.f64 (*.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (pow.f64 (+.f64 alpha 2) 3)))))
(-.f64 (-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 alpha 2)) (/.f64 (*.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (pow.f64 (+.f64 alpha 2) 3))) (*.f64 (pow.f64 alpha 2) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 4)))) (*.f64 (pow.f64 alpha 2) (/.f64 beta (pow.f64 (+.f64 alpha 2) 2))))
(/.f64 (pow.f64 alpha 2) beta)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 2 alpha)) (pow.f64 beta 2))) (/.f64 (pow.f64 alpha 2) beta))
(fma.f64 -1 (*.f64 (pow.f64 alpha 2) (/.f64 (+.f64 alpha 2) (pow.f64 beta 2))) (/.f64 (pow.f64 alpha 2) beta))
(-.f64 (/.f64 (pow.f64 alpha 2) beta) (*.f64 (pow.f64 alpha 2) (/.f64 (+.f64 alpha 2) (pow.f64 beta 2))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (/.f64 (*.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3)) (/.f64 (pow.f64 alpha 2) beta)))
(fma.f64 -1 (*.f64 (pow.f64 alpha 2) (/.f64 (+.f64 alpha 2) (pow.f64 beta 2))) (+.f64 (/.f64 (pow.f64 alpha 2) beta) (/.f64 (*.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 beta 3))))
(+.f64 (-.f64 (/.f64 (pow.f64 alpha 2) beta) (*.f64 (pow.f64 alpha 2) (/.f64 (+.f64 alpha 2) (pow.f64 beta 2)))) (*.f64 (pow.f64 alpha 2) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 beta 4))) (+.f64 (/.f64 (*.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3)) (/.f64 (pow.f64 alpha 2) beta))))
(fma.f64 -1 (*.f64 (pow.f64 alpha 2) (/.f64 (+.f64 alpha 2) (pow.f64 beta 2))) (fma.f64 -1 (/.f64 (*.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 3)) (pow.f64 beta 4)) (+.f64 (/.f64 (pow.f64 alpha 2) beta) (/.f64 (*.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 beta 3)))))
(-.f64 (-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) beta) (*.f64 (pow.f64 alpha 2) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3)))) (*.f64 (pow.f64 alpha 2) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 4)))) (*.f64 (pow.f64 alpha 2) (/.f64 (+.f64 alpha 2) (pow.f64 beta 2))))
(/.f64 (pow.f64 alpha 2) beta)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 2 alpha)) (pow.f64 beta 2))) (/.f64 (pow.f64 alpha 2) beta))
(fma.f64 -1 (*.f64 (pow.f64 alpha 2) (/.f64 (+.f64 alpha 2) (pow.f64 beta 2))) (/.f64 (pow.f64 alpha 2) beta))
(-.f64 (/.f64 (pow.f64 alpha 2) beta) (*.f64 (pow.f64 alpha 2) (/.f64 (+.f64 alpha 2) (pow.f64 beta 2))))
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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))
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(/.f64 (+.f64 (*.f64 (neg.f64 beta) alpha) (*.f64 (-.f64 alpha (+.f64 2 beta)) (+.f64 2 beta))) (*.f64 (-.f64 alpha (+.f64 2 beta)) alpha))
(/.f64 (fma.f64 (neg.f64 beta) alpha (*.f64 (+.f64 2 beta) (-.f64 alpha (+.f64 2 beta)))) (*.f64 alpha (-.f64 alpha (+.f64 2 beta))))
(/.f64 (-.f64 (*.f64 (+.f64 2 beta) (+.f64 alpha (-.f64 -2 beta))) (*.f64 alpha beta)) (*.f64 alpha (+.f64 alpha (-.f64 -2 beta))))
(/.f64 (+.f64 (*.f64 (neg.f64 beta) (/.f64 alpha (+.f64 2 beta))) (*.f64 (-.f64 alpha (+.f64 2 beta)) 1)) (*.f64 (-.f64 alpha (+.f64 2 beta)) (/.f64 alpha (+.f64 2 beta))))
(/.f64 (fma.f64 (neg.f64 beta) (/.f64 alpha (+.f64 2 beta)) (-.f64 alpha (+.f64 2 beta))) (*.f64 (/.f64 alpha (+.f64 2 beta)) (-.f64 alpha (+.f64 2 beta))))
(/.f64 (+.f64 (+.f64 alpha (-.f64 -2 beta)) (/.f64 (*.f64 alpha beta) (-.f64 -2 beta))) (*.f64 (/.f64 alpha (+.f64 2 beta)) (+.f64 alpha (-.f64 -2 beta))))
(/.f64 (+.f64 (*.f64 (neg.f64 beta) alpha) (*.f64 (-.f64 alpha (+.f64 2 beta)) (+.f64 (neg.f64 beta) -2))) (*.f64 (-.f64 alpha (+.f64 2 beta)) alpha))
(/.f64 (fma.f64 (neg.f64 beta) alpha (*.f64 (+.f64 -2 (neg.f64 beta)) (-.f64 alpha (+.f64 2 beta)))) (*.f64 alpha (-.f64 alpha (+.f64 2 beta))))
(/.f64 (-.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (-.f64 beta alpha))) (*.f64 alpha beta)) (*.f64 alpha (+.f64 alpha (-.f64 -2 beta))))
(/.f64 (-.f64 (*.f64 beta (/.f64 alpha (+.f64 2 beta))) (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 alpha (+.f64 2 beta))))
(/.f64 (-.f64 (-.f64 (/.f64 (*.f64 alpha beta) (+.f64 2 beta)) beta) (+.f64 alpha 2)) (*.f64 (/.f64 alpha (+.f64 2 beta)) (+.f64 beta (+.f64 alpha 2))))
(/.f64 (/.f64 (-.f64 (-.f64 (/.f64 (*.f64 alpha beta) (+.f64 2 beta)) beta) (+.f64 alpha 2)) (+.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 2 beta)))
(/.f64 (-.f64 (*.f64 alpha beta) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (neg.f64 beta) -2))) (*.f64 alpha (+.f64 beta (+.f64 alpha 2))))
(/.f64 (fma.f64 alpha beta (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 alpha 2)))) (*.f64 alpha (+.f64 beta (+.f64 alpha 2))))
(/.f64 (-.f64 alpha (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) (+.f64 2 beta))) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) alpha))
(/.f64 (+.f64 alpha (*.f64 (+.f64 -2 (neg.f64 beta)) (/.f64 (+.f64 beta (+.f64 alpha 2)) beta))) (*.f64 alpha (/.f64 (+.f64 beta (+.f64 alpha 2)) beta)))
(/.f64 (-.f64 alpha (*.f64 (+.f64 2 beta) (/.f64 (+.f64 beta (+.f64 alpha 2)) beta))) (*.f64 alpha (/.f64 (+.f64 beta (+.f64 alpha 2)) beta)))
(/.f64 (-.f64 (/.f64 alpha (+.f64 2 beta)) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) 1)) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) (/.f64 alpha (+.f64 2 beta))))
(/.f64 (/.f64 (-.f64 (/.f64 alpha (+.f64 2 beta)) (/.f64 (+.f64 beta (+.f64 alpha 2)) beta)) (/.f64 (+.f64 beta (+.f64 alpha 2)) beta)) (/.f64 alpha (+.f64 2 beta)))
(/.f64 (-.f64 (/.f64 alpha (+.f64 2 beta)) (/.f64 (+.f64 beta (+.f64 alpha 2)) beta)) (*.f64 (/.f64 alpha (+.f64 2 beta)) (/.f64 (+.f64 beta (+.f64 alpha 2)) beta)))
(/.f64 (-.f64 alpha (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) (+.f64 (neg.f64 beta) -2))) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) alpha))
(/.f64 (+.f64 alpha (*.f64 (+.f64 2 beta) (/.f64 (+.f64 beta (+.f64 alpha 2)) beta))) (*.f64 alpha (/.f64 (+.f64 beta (+.f64 alpha 2)) beta)))
(/.f64 (-.f64 (*.f64 (neg.f64 beta) alpha) (*.f64 (-.f64 alpha (+.f64 2 beta)) (+.f64 2 beta))) (*.f64 (-.f64 alpha (+.f64 2 beta)) alpha))
(/.f64 (fma.f64 (neg.f64 beta) alpha (*.f64 (+.f64 -2 (neg.f64 beta)) (-.f64 alpha (+.f64 2 beta)))) (*.f64 alpha (-.f64 alpha (+.f64 2 beta))))
(/.f64 (-.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (-.f64 beta alpha))) (*.f64 alpha beta)) (*.f64 alpha (+.f64 alpha (-.f64 -2 beta))))
(/.f64 (-.f64 (*.f64 (neg.f64 beta) (/.f64 alpha (+.f64 2 beta))) (*.f64 (-.f64 alpha (+.f64 2 beta)) 1)) (*.f64 (-.f64 alpha (+.f64 2 beta)) (/.f64 alpha (+.f64 2 beta))))
(/.f64 (-.f64 (*.f64 (/.f64 alpha (+.f64 2 beta)) (neg.f64 beta)) (-.f64 alpha (+.f64 2 beta))) (*.f64 (/.f64 alpha (+.f64 2 beta)) (-.f64 alpha (+.f64 2 beta))))
(/.f64 (+.f64 (/.f64 (*.f64 alpha beta) (-.f64 -2 beta)) (+.f64 2 (-.f64 beta alpha))) (*.f64 (/.f64 alpha (+.f64 2 beta)) (+.f64 alpha (-.f64 -2 beta))))
(/.f64 (-.f64 (*.f64 (neg.f64 beta) alpha) (*.f64 (-.f64 alpha (+.f64 2 beta)) (+.f64 (neg.f64 beta) -2))) (*.f64 (-.f64 alpha (+.f64 2 beta)) alpha))
(/.f64 (fma.f64 (neg.f64 beta) alpha (*.f64 (+.f64 2 beta) (-.f64 alpha (+.f64 2 beta)))) (*.f64 alpha (-.f64 alpha (+.f64 2 beta))))
(/.f64 (-.f64 (*.f64 (+.f64 2 beta) (+.f64 alpha (-.f64 -2 beta))) (*.f64 alpha beta)) (*.f64 alpha (+.f64 alpha (-.f64 -2 beta))))
(/.f64 (neg.f64 (+.f64 (*.f64 alpha beta) (*.f64 (-.f64 alpha (+.f64 2 beta)) (+.f64 2 beta)))) (*.f64 alpha (+.f64 beta (+.f64 alpha 2))))
(/.f64 (neg.f64 (fma.f64 alpha beta (*.f64 (+.f64 2 beta) (-.f64 alpha (+.f64 2 beta))))) (*.f64 alpha (+.f64 beta (+.f64 alpha 2))))
(/.f64 (-.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (-.f64 beta alpha))) (*.f64 alpha beta)) (*.f64 alpha (+.f64 beta (+.f64 alpha 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (/.f64 (+.f64 2 beta) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) alpha)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3) (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (/.f64 (+.f64 2 beta) (*.f64 alpha (/.f64 (+.f64 beta (+.f64 alpha 2)) beta))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3) (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3)) (neg.f64 (-.f64 (/.f64 (-.f64 -2 beta) (*.f64 alpha (/.f64 (+.f64 beta (+.f64 alpha 2)) beta))) (pow.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2))))
(/.f64 (neg.f64 (pow.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2)) (neg.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (pow.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (neg.f64 (-.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) 0) (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (pow.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (/.f64 1 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (pow.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (/.f64 (+.f64 (*.f64 alpha beta) (*.f64 (-.f64 alpha (+.f64 2 beta)) (+.f64 2 beta))) (+.f64 beta (+.f64 alpha 2))) alpha)
(*.f64 (fma.f64 alpha beta (*.f64 (+.f64 2 beta) (-.f64 alpha (+.f64 2 beta)))) (/.f64 1 (*.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (fma.f64 alpha beta (*.f64 (+.f64 2 beta) (+.f64 alpha (-.f64 -2 beta)))) (*.f64 alpha (+.f64 beta (+.f64 alpha 2))))
(pow.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 1)
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) 3)
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))
(pow.f64 (pow.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 3) 1/3)
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) 2)
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2))
(fabs.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(log.f64 (exp.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))))
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))))
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 3))
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))))
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))
(exp.f64 (log.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))))
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) 1))
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))
(fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 2 beta) alpha))
(fma.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 2 beta) alpha))
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))
(fma.f64 1 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 0)
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 (+.f64 2 beta) alpha))
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) 2) (cbrt.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) 0)
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 (+.f64 2 beta) alpha))
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (sqrt.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) 0)
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))

eval657.0ms (5.7%)

Compiler

Compiled 34638 to 25089 computations (27.6% saved)

prune256.0ms (2.2%)

Pruning

18 alts after pruning (8 fresh and 10 done)

PrunedKeptTotal
New8203823
Fresh055
Picked145
Done066
Total82118839
Accuracy
99.9%
Counts
839 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
30.6%
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
25.4%
(/.f64 (/.f64 (+.f64 2 beta) alpha) 2)
5.0%
(/.f64 (/.f64 beta alpha) 2)
25.1%
(/.f64 (/.f64 2 alpha) 2)
44.5%
(/.f64 (-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2) (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) (/.f64 1 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))) 2)
74.5%
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 (/.f64 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) alpha) (+.f64 alpha (+.f64 2 beta))) -1) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1))) 2)
9.1%
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (neg.f64 beta) alpha)) 2)
74.5%
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
23.4%
(/.f64 (-.f64 (/.f64 2 alpha) (*.f64 (/.f64 2 alpha) (/.f64 2 alpha))) 2)
28.9%
(/.f64 (-.f64 (*.f64 (-.f64 -2 beta) (/.f64 (+.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 2)
31.8%
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
47.3%
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
44.9%
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
73.6%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
71.1%
(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
34.6%
(-.f64 1 (/.f64 alpha beta))
3.8%
(-.f64 1/2 1/2)
38.8%
1
Compiler

Compiled 631 to 454 computations (28.1% saved)

regimes144.0ms (1.2%)

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

5 calls:

69.0ms
beta
41.0ms
alpha
18.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
7.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
6.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
Results
AccuracySegmentsBranch
94.3%2alpha
78.2%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)

regimes44.0ms (0.4%)

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

3 calls:

21.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
14.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
6.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
Results
AccuracySegmentsBranch
99.8%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
99.8%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
99.8%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
Compiler

Compiled 39 to 27 computations (30.8% saved)

regimes31.0ms (0.3%)

Counts
24 → 2
Calls
Call 1
Inputs
1
(-.f64 1/2 1/2)
(-.f64 1 (/.f64 alpha beta))
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (/.f64 beta alpha) 2)
(+.f64 1 (*.f64 (/.f64 alpha beta) -1/2))
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
(/.f64 (/.f64 (+.f64 2 beta) alpha) 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 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (neg.f64 beta) alpha)) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 (+.f64 2 beta) alpha))) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 2 beta) (neg.f64 alpha))) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 (/.f64 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) alpha) (+.f64 alpha (+.f64 2 beta))) -1) (-.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 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
Calls

3 calls:

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

Compiled 39 to 27 computations (30.8% saved)

regimes33.0ms (0.3%)

Counts
21 → 2
Calls
Call 1
Inputs
1
(-.f64 1/2 1/2)
(-.f64 1 (/.f64 alpha beta))
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (/.f64 beta alpha) 2)
(+.f64 1 (*.f64 (/.f64 alpha beta) -1/2))
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
(/.f64 (/.f64 (+.f64 2 beta) alpha) 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 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (neg.f64 beta) alpha)) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 (+.f64 2 beta) alpha))) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 2 beta) (neg.f64 alpha))) 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:

17.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
8.0ms
(/.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
99.8%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
99.8%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
99.8%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
Compiler

Compiled 39 to 27 computations (30.8% saved)

regimes29.0ms (0.2%)

Counts
15 → 2
Calls
Call 1
Inputs
1
(-.f64 1/2 1/2)
(-.f64 1 (/.f64 alpha beta))
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (/.f64 beta alpha) 2)
(+.f64 1 (*.f64 (/.f64 alpha beta) -1/2))
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
(/.f64 (/.f64 (+.f64 2 beta) alpha) 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:

28.0ms
alpha
Results
AccuracySegmentsBranch
92.6%2alpha
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes22.0ms (0.2%)

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

1 calls:

22.0ms
alpha
Results
AccuracySegmentsBranch
87.4%2alpha
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes76.0ms (0.7%)

Counts
10 → 6
Calls
Call 1
Inputs
1
(-.f64 1/2 1/2)
(-.f64 1 (/.f64 alpha beta))
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (/.f64 beta alpha) 2)
(+.f64 1 (*.f64 (/.f64 alpha beta) -1/2))
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
(/.f64 (/.f64 (+.f64 2 beta) alpha) 2)
(-.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 -1/2 beta)))
Outputs
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
Calls

2 calls:

40.0ms
beta
36.0ms
alpha
Results
AccuracySegmentsBranch
74.0%6beta
71.0%5alpha
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes37.0ms (0.3%)

Counts
7 → 6
Calls
Call 1
Inputs
1
(-.f64 1/2 1/2)
(-.f64 1 (/.f64 alpha beta))
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (/.f64 beta alpha) 2)
(+.f64 1 (*.f64 (/.f64 alpha beta) -1/2))
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
Outputs
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
1
Calls

1 calls:

37.0ms
beta
Results
AccuracySegmentsBranch
73.9%6beta
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes21.0ms (0.2%)

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

2 calls:

10.0ms
beta
10.0ms
alpha
Results
AccuracySegmentsBranch
54.5%2alpha
53.6%2beta
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes8.0ms (0.1%)

Accuracy

Total -23.2b remaining (-59.2%)

Threshold costs -23.2b (-59.2%)

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

2 calls:

4.0ms
beta
4.0ms
alpha
Results
AccuracySegmentsBranch
38.8%1beta
38.8%1alpha
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999999999994136
-0.9999909833750502
Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999999999994136
-0.9999909833750502
Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999999999994136
-0.9999909833750502
Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999999999994136
-0.9999909833750502
Compiler

Compiled 20 to 15 computations (25% saved)

bsearch15.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
15.0ms
67981701877152.88
12192454546942076.0
Results
10.0ms96×256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
Compiler

Compiled 188 to 155 computations (17.6% saved)

bsearch14.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
13.0ms
67981701877152.88
12192454546942076.0
Results
10.0ms96×256valid
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 174 to 141 computations (19% saved)

bsearch107.0ms (0.9%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
25.0ms
2.3503701063796407e-5
16.570077461794362
18.0ms
3.878345763484152e-50
1.575867316692002e-48
16.0ms
5.108245397708734e-75
2.0774112810089616e-74
22.0ms
4.1166809349403595e-156
5.38233917661308e-151
26.0ms
3.7006624717601035e-177
6.644575257743766e-167
Results
55.0ms454×256valid
27.0ms119×1024valid
12.0ms65×512valid
1.0ms2048valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
Compiler

Compiled 776 to 689 computations (11.2% saved)

bsearch107.0ms (0.9%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
22.0ms
2.3503701063796407e-5
16.570077461794362
18.0ms
3.878345763484152e-50
1.575867316692002e-48
17.0ms
5.108245397708734e-75
2.0774112810089616e-74
23.0ms
4.1166809349403595e-156
5.38233917661308e-151
26.0ms
3.7006624717601035e-177
6.644575257743766e-167
Results
56.0ms461×256valid
25.0ms107×1024valid
11.0ms66×512valid
2.0ms2048valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
Compiler

Compiled 722 to 644 computations (10.8% saved)

bsearch15.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
14.0ms
67981701877152.88
12192454546942076.0
Results
11.0ms96×256valid
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 104 to 92 computations (11.5% saved)

simplify107.0ms (0.9%)

Algorithm
egg-herbie
Rules
518×unsub-neg
318×distribute-lft-neg-in
222×neg-mul-1
156×cancel-sign-sub
144×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01071144
11961144
23161144
34231144
45141144
56991144
69091144
711091144
812591144
913561144
1014141144
1114571144
1214831144
1314951144
1414991144
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -4503577109372359/4503599627370496) (/.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 beta (+.f64 beta (+.f64 alpha 2))) (fma.f64 alpha (/.f64 1 (+.f64 beta (+.f64 alpha 2))) -1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -4503577109372359/4503599627370496) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (fma.f64 alpha (/.f64 1 (+.f64 beta (+.f64 alpha 2))) -1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -4503577109372359/4503599627370496) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -4503577109372359/4503599627370496) (/.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 950000000000000) (/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 260000000000000) (/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2) (/.f64 (/.f64 (+.f64 2 beta) alpha) 2))
(if (<=.f64 beta 7860842293688153/531137992816767098689588206552468627329593117727031923199444138200403559860852242739162502265229285668889329486246501015346579337652707239409519978766587351943831270835393219031728128) (/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) (if (<=.f64 beta 8695209426788831/1932268761508629172347675945465993672149463664853217499328617625725759571144780212268096883290961288981231808015751088588682539330521493827871454336733540374348490407411712) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 5092589940836215/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672) (/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) (if (<=.f64 beta 5265614583427859/52656145834278593348959013841835216159447547700274555627155488768) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 3039929748475085/2251799813685248) (/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) (/.f64 (-.f64 2 (/.f64 2 beta)) 2))))))
(if (<=.f64 beta 4249103942534137/66392249102095887336198525819058578416199139715878990399930517275050444982606530342395312783153660708611166185780812626918322417206588404926189997345823418992978908854424152378966016) (/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) (if (<=.f64 beta 4444218151469847/966134380754314586173837972732996836074731832426608749664308812862879785572390106134048441645480644490615904007875544294341269665260746913935727168366770187174245203705856) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 4277775550302421/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672) (/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) (if (<=.f64 beta 8214358750147461/210624583337114373395836055367340864637790190801098222508621955072) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 3152519739159347/2251799813685248) (/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) 1)))))
(if (<=.f64 alpha 190000000000000) 1 (/.f64 (/.f64 2 alpha) 2))
1
Outputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -4503577109372359/4503599627370496) (/.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 beta (+.f64 beta (+.f64 alpha 2))) (fma.f64 alpha (/.f64 1 (+.f64 beta (+.f64 alpha 2))) -1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -4503577109372359/4503599627370496) (/.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 beta (+.f64 beta (+.f64 alpha 2))) (fma.f64 alpha (/.f64 1 (+.f64 beta (+.f64 alpha 2))) -1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -4503577109372359/4503599627370496) (/.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 beta (+.f64 beta (+.f64 alpha 2))) (fma.f64 alpha (/.f64 1 (+.f64 beta (+.f64 alpha 2))) -1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -4503577109372359/4503599627370496) (/.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 beta (+.f64 beta (+.f64 alpha 2))) (fma.f64 alpha (/.f64 1 (+.f64 beta (+.f64 alpha 2))) -1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -4503577109372359/4503599627370496) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (fma.f64 alpha (/.f64 1 (+.f64 beta (+.f64 alpha 2))) -1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -4503577109372359/4503599627370496) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (fma.f64 alpha (/.f64 1 (+.f64 beta (+.f64 alpha 2))) -1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -4503577109372359/4503599627370496) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -4503577109372359/4503599627370496) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -4503577109372359/4503599627370496) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 -1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -4503577109372359/4503599627370496) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2) (/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -4503577109372359/4503599627370496) (/.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)) -4503577109372359/4503599627370496) (/.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)) -4503577109372359/4503599627370496) (/.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 alpha 950000000000000) (/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 950000000000000) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2))
(if (<=.f64 alpha 260000000000000) (/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2) (/.f64 (/.f64 (+.f64 2 beta) alpha) 2))
(if (<=.f64 alpha 260000000000000) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 (+.f64 beta 2) alpha) 2))
(if (<=.f64 beta 7860842293688153/531137992816767098689588206552468627329593117727031923199444138200403559860852242739162502265229285668889329486246501015346579337652707239409519978766587351943831270835393219031728128) (/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) (if (<=.f64 beta 8695209426788831/1932268761508629172347675945465993672149463664853217499328617625725759571144780212268096883290961288981231808015751088588682539330521493827871454336733540374348490407411712) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 5092589940836215/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672) (/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) (if (<=.f64 beta 5265614583427859/52656145834278593348959013841835216159447547700274555627155488768) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 3039929748475085/2251799813685248) (/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) (/.f64 (-.f64 2 (/.f64 2 beta)) 2))))))
(if (<=.f64 beta 4249103942534137/66392249102095887336198525819058578416199139715878990399930517275050444982606530342395312783153660708611166185780812626918322417206588404926189997345823418992978908854424152378966016) (/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) (if (<=.f64 beta 4444218151469847/966134380754314586173837972732996836074731832426608749664308812862879785572390106134048441645480644490615904007875544294341269665260746913935727168366770187174245203705856) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 4277775550302421/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672) (/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) (if (<=.f64 beta 8214358750147461/210624583337114373395836055367340864637790190801098222508621955072) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 3152519739159347/2251799813685248) (/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) 1)))))
(if (<=.f64 alpha 190000000000000) 1 (/.f64 (/.f64 2 alpha) 2))
1
Compiler

Compiled 353 to 269 computations (23.8% saved)

soundness2.4s (20.5%)

Rules
6118×fma-neg
1356×add0
1287×log1p-expm1-u
1218×distribute-rgt-in
1218×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083423958
1328423271
021197
1369197
25985197
028325
1554293
038359
1126351
2317351
3783343
41780343
53986343
66208343
77039343
87195343
97233343
107284343
117288343
127440343
137559343
147561343
157561315
083423958
1328423271
0107229446
1408128693
083423958
1328423271
028325
1554293
089923790
1338623083
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 1049 to 718 computations (31.6% saved)

end1.0ms (0%)

preprocess178.0ms (1.5%)

Compiler

Compiled 700 to 512 computations (26.9% saved)

Profiling

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