Octave 3.8, jcobi/2

Time bar (total: 23.0s)

analyze90.0ms (0.4%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%28.1%71.9%0%0%0%0
0%0%28.1%71.9%0%0%0%1
0%0%28.1%71.9%0%0%0%2
25%7%21.1%71.9%0%0%0%3
62.5%17.5%10.5%71.9%0%0%0%4
75%21.1%7%71.9%0%0%0%5
81.3%22.8%5.3%71.9%0%0%0%6
82.8%23.2%4.8%71.9%0%0%0%7
84.4%23.7%4.4%71.9%0%0%0%8
87.5%24.6%3.5%71.9%0%0%0%9
89.5%25.1%3%71.9%0%0%0%10
91.8%25.8%2.3%71.9%0%0%0%11
93.7%26.3%1.8%71.9%0%0%0%12
Compiler

Compiled 43 to 28 computations (34.9% saved)

sample1.9s (8.2%)

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

preprocess411.0ms (1.8%)

Algorithm
egg-herbie
Rules
1656×div-sub
976×distribute-rgt-in
964×distribute-lft-in
494×sub-neg
478×fma-def
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
890-4(4.179910305087234e-245 1.4705762867984029e-158 4.3059075890324395e-216)(/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 i)))
470-0-(+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1)
10-0-(/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2))
00-0-(-.f64 beta alpha)
00-0-(*.f64 2 i)
00-0-i
00-0-(+.f64 (+.f64 alpha beta) (*.f64 2 i))
00-0-(+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)
00-0-(*.f64 (+.f64 alpha beta) (-.f64 beta alpha))
00-0-alpha
00-0-2
00-0-(+.f64 alpha beta)
00-0-(/.f64 (+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
00-0-1
00-0-beta
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0821309
12091213
27551153
341271121
Stop Event
node limit
Calls
Call 1
Inputs
(/.f64 (+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (/.f64 (*.f64 (+.f64 (neg.f64 alpha) beta) (-.f64 beta (neg.f64 alpha))) (+.f64 (+.f64 (neg.f64 alpha) beta) (*.f64 2 i))) (+.f64 (+.f64 (+.f64 (neg.f64 alpha) beta) (*.f64 2 i)) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha (neg.f64 beta)) (-.f64 (neg.f64 beta) alpha)) (+.f64 (+.f64 alpha (neg.f64 beta)) (*.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha (neg.f64 beta)) (*.f64 2 i)) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 (neg.f64 i)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 (neg.f64 i))) 2)) 1) 2)
(neg.f64 (/.f64 (+.f64 (/.f64 (/.f64 (*.f64 (+.f64 (neg.f64 alpha) beta) (-.f64 beta (neg.f64 alpha))) (+.f64 (+.f64 (neg.f64 alpha) beta) (*.f64 2 i))) (+.f64 (+.f64 (+.f64 (neg.f64 alpha) beta) (*.f64 2 i)) 2)) 1) 2))
(neg.f64 (/.f64 (+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha (neg.f64 beta)) (-.f64 (neg.f64 beta) alpha)) (+.f64 (+.f64 alpha (neg.f64 beta)) (*.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha (neg.f64 beta)) (*.f64 2 i)) 2)) 1) 2))
(neg.f64 (/.f64 (+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 (neg.f64 i)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 (neg.f64 i))) 2)) 1) 2))
(/.f64 (+.f64 (/.f64 (/.f64 (*.f64 (+.f64 beta alpha) (-.f64 alpha beta)) (+.f64 (+.f64 beta alpha) (*.f64 2 i))) (+.f64 (+.f64 (+.f64 beta alpha) (*.f64 2 i)) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (/.f64 (*.f64 (+.f64 i beta) (-.f64 beta i)) (+.f64 (+.f64 i beta) (*.f64 2 alpha))) (+.f64 (+.f64 (+.f64 i beta) (*.f64 2 alpha)) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha i) (-.f64 i alpha)) (+.f64 (+.f64 alpha i) (*.f64 2 beta))) (+.f64 (+.f64 (+.f64 alpha i) (*.f64 2 beta)) 2)) 1) 2)
Outputs
(/.f64 (+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (+.f64 beta (*.f64 2 i))) (-.f64 beta alpha))) (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 2 i) 2))) 1) 2)
(/.f64 (+.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))) 1) 2)
(/.f64 (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) 1) 2)
(/.f64 (+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (+.f64 beta (*.f64 2 i))) (-.f64 beta alpha))) (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 2 i) 2))) 1) 2)
(/.f64 (+.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))) 1) 2)
(/.f64 (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) 1) 2)
(/.f64 (+.f64 (/.f64 (/.f64 (*.f64 (+.f64 (neg.f64 alpha) beta) (-.f64 beta (neg.f64 alpha))) (+.f64 (+.f64 (neg.f64 alpha) beta) (*.f64 2 i))) (+.f64 (+.f64 (+.f64 (neg.f64 alpha) beta) (*.f64 2 i)) 2)) 1) 2)
(/.f64 (+.f64 1 (/.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 (*.f64 2 i) (-.f64 beta alpha)) (-.f64 beta (neg.f64 alpha)))) (+.f64 2 (+.f64 (*.f64 2 i) (-.f64 beta alpha))))) 2)
(/.f64 (+.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (fma.f64 2 i (-.f64 beta alpha)))) (/.f64 (+.f64 alpha beta) (fma.f64 2 i (-.f64 beta alpha))))) 2)
(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (-.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 alpha beta) (-.f64 beta (fma.f64 i -2 alpha))) 1) 2)
(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (-.f64 2 (fma.f64 i -2 alpha)))) (/.f64 (+.f64 alpha beta) (-.f64 beta (fma.f64 i -2 alpha))) 1) 2)
(/.f64 (+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha (neg.f64 beta)) (-.f64 (neg.f64 beta) alpha)) (+.f64 (+.f64 alpha (neg.f64 beta)) (*.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha (neg.f64 beta)) (*.f64 2 i)) 2)) 1) 2)
(/.f64 (+.f64 1 (/.f64 (*.f64 (-.f64 alpha beta) (-.f64 (neg.f64 beta) alpha)) (*.f64 (+.f64 2 (+.f64 (*.f64 2 i) (-.f64 alpha beta))) (+.f64 (*.f64 2 i) (-.f64 alpha beta))))) 2)
(/.f64 (+.f64 1 (*.f64 (/.f64 (-.f64 (neg.f64 beta) alpha) (+.f64 2 (fma.f64 2 i (-.f64 alpha beta)))) (/.f64 (-.f64 alpha beta) (fma.f64 2 i (-.f64 alpha beta))))) 2)
(/.f64 (fma.f64 (/.f64 (-.f64 alpha beta) (+.f64 2 (-.f64 alpha (fma.f64 i -2 beta)))) (/.f64 (-.f64 (neg.f64 beta) alpha) (-.f64 alpha (fma.f64 i -2 beta))) 1) 2)
(/.f64 (-.f64 1 (*.f64 (/.f64 (-.f64 alpha beta) (*.f64 (-.f64 alpha (fma.f64 i -2 beta)) (+.f64 alpha (-.f64 2 (fma.f64 i -2 beta))))) (+.f64 alpha beta))) 2)
(/.f64 (+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 (neg.f64 i)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 (neg.f64 i))) 2)) 1) 2)
(/.f64 (+.f64 1 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (*.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 2 (neg.f64 i)) 2)) (+.f64 (+.f64 alpha beta) (*.f64 2 (neg.f64 i)))))) 2)
(/.f64 (+.f64 1 (/.f64 (+.f64 alpha beta) (/.f64 (*.f64 (+.f64 (+.f64 (*.f64 i -2) alpha) beta) (+.f64 (+.f64 alpha beta) (+.f64 2 (*.f64 i -2)))) (-.f64 beta alpha)))) 2)
(/.f64 (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 i -2 beta) (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 i -2 beta))) 1) 2)
(/.f64 (-.f64 1 (/.f64 (/.f64 (-.f64 alpha beta) (-.f64 1 (/.f64 (fma.f64 2 i -2) (+.f64 alpha beta)))) (+.f64 alpha (fma.f64 i -2 beta)))) 2)
(neg.f64 (/.f64 (+.f64 (/.f64 (/.f64 (*.f64 (+.f64 (neg.f64 alpha) beta) (-.f64 beta (neg.f64 alpha))) (+.f64 (+.f64 (neg.f64 alpha) beta) (*.f64 2 i))) (+.f64 (+.f64 (+.f64 (neg.f64 alpha) beta) (*.f64 2 i)) 2)) 1) 2))
(neg.f64 (/.f64 (+.f64 1 (/.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 (*.f64 2 i) (-.f64 beta alpha)) (-.f64 beta (neg.f64 alpha)))) (+.f64 2 (+.f64 (*.f64 2 i) (-.f64 beta alpha))))) 2))
(/.f64 (+.f64 -1 (neg.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (fma.f64 2 i (-.f64 beta alpha)))) (/.f64 (+.f64 alpha beta) (fma.f64 2 i (-.f64 beta alpha)))))) 2)
(/.f64 (+.f64 -1 (/.f64 (-.f64 alpha beta) (*.f64 (+.f64 (-.f64 beta alpha) (fma.f64 2 i 2)) (/.f64 (-.f64 beta (fma.f64 i -2 alpha)) (+.f64 alpha beta))))) 2)
(/.f64 (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (-.f64 2 (fma.f64 i -2 alpha)))) (/.f64 (-.f64 alpha beta) (-.f64 beta (fma.f64 i -2 alpha))) -1) 2)
(neg.f64 (/.f64 (+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha (neg.f64 beta)) (-.f64 (neg.f64 beta) alpha)) (+.f64 (+.f64 alpha (neg.f64 beta)) (*.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha (neg.f64 beta)) (*.f64 2 i)) 2)) 1) 2))
(/.f64 (neg.f64 (+.f64 1 (/.f64 (*.f64 (-.f64 alpha beta) (-.f64 (neg.f64 beta) alpha)) (*.f64 (+.f64 2 (+.f64 (*.f64 2 i) (-.f64 alpha beta))) (+.f64 (*.f64 2 i) (-.f64 alpha beta)))))) 2)
(/.f64 (+.f64 -1 (neg.f64 (*.f64 (/.f64 (-.f64 (neg.f64 beta) alpha) (+.f64 2 (fma.f64 2 i (-.f64 alpha beta)))) (/.f64 (-.f64 alpha beta) (fma.f64 2 i (-.f64 alpha beta)))))) 2)
(/.f64 (-.f64 -1 (*.f64 (/.f64 (-.f64 (neg.f64 beta) alpha) (+.f64 2 (-.f64 alpha (fma.f64 i -2 beta)))) (/.f64 (-.f64 alpha beta) (-.f64 alpha (fma.f64 i -2 beta))))) 2)
(/.f64 (fma.f64 (/.f64 (-.f64 alpha beta) (+.f64 alpha (-.f64 2 (fma.f64 i -2 beta)))) (/.f64 (+.f64 alpha beta) (-.f64 alpha (fma.f64 i -2 beta))) -1) 2)
(neg.f64 (/.f64 (+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 (neg.f64 i)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 (neg.f64 i))) 2)) 1) 2))
(/.f64 (neg.f64 (+.f64 1 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (*.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 2 (neg.f64 i)) 2)) (+.f64 (+.f64 alpha beta) (*.f64 2 (neg.f64 i))))))) 2)
(/.f64 (+.f64 -1 (neg.f64 (/.f64 (+.f64 alpha beta) (/.f64 (*.f64 (+.f64 (+.f64 (*.f64 i -2) alpha) beta) (+.f64 (+.f64 alpha beta) (+.f64 2 (*.f64 i -2)))) (-.f64 beta alpha))))) 2)
(/.f64 (+.f64 -1 (/.f64 (-.f64 alpha beta) (/.f64 (+.f64 alpha (fma.f64 i -2 beta)) (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 i -2 beta) (+.f64 alpha 2)))))) 2)
(-.f64 (/.f64 (/.f64 (/.f64 (-.f64 alpha beta) (-.f64 1 (/.f64 (fma.f64 2 i -2) (+.f64 alpha beta)))) (+.f64 alpha (fma.f64 i -2 beta))) 2) 1/2)
(/.f64 (+.f64 (/.f64 (/.f64 (*.f64 (+.f64 beta alpha) (-.f64 alpha beta)) (+.f64 (+.f64 beta alpha) (*.f64 2 i))) (+.f64 (+.f64 (+.f64 beta alpha) (*.f64 2 i)) 2)) 1) 2)
(/.f64 (+.f64 1 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 alpha beta)) (*.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 2 i) 2)) (+.f64 alpha (+.f64 beta (*.f64 2 i)))))) 2)
(/.f64 (+.f64 1 (*.f64 (/.f64 (-.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))))) 2)
(/.f64 (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) (/.f64 (-.f64 alpha beta) (+.f64 alpha (fma.f64 2 i beta))) 1) 2)
(/.f64 (+.f64 (/.f64 (/.f64 (*.f64 (+.f64 i beta) (-.f64 beta i)) (+.f64 (+.f64 i beta) (*.f64 2 alpha))) (+.f64 (+.f64 (+.f64 i beta) (*.f64 2 alpha)) 2)) 1) 2)
(/.f64 (+.f64 1 (/.f64 (/.f64 (+.f64 beta i) (/.f64 (+.f64 i (+.f64 beta (*.f64 alpha 2))) (-.f64 beta i))) (+.f64 2 (+.f64 i (+.f64 beta (*.f64 alpha 2)))))) 2)
(/.f64 (+.f64 1 (*.f64 (/.f64 (+.f64 beta i) (+.f64 beta (+.f64 i (fma.f64 alpha 2 2)))) (/.f64 (-.f64 beta i) (fma.f64 alpha 2 (+.f64 beta i))))) 2)
(/.f64 (fma.f64 (/.f64 (+.f64 beta i) (+.f64 beta (+.f64 i (fma.f64 alpha 2 2)))) (/.f64 (-.f64 beta i) (fma.f64 alpha 2 (+.f64 beta i))) 1) 2)
(/.f64 (fma.f64 (/.f64 (-.f64 beta i) (+.f64 2 (fma.f64 alpha 2 (+.f64 beta i)))) (/.f64 (+.f64 beta i) (fma.f64 alpha 2 (+.f64 beta i))) 1) 2)
(/.f64 (+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha i) (-.f64 i alpha)) (+.f64 (+.f64 alpha i) (*.f64 2 beta))) (+.f64 (+.f64 (+.f64 alpha i) (*.f64 2 beta)) 2)) 1) 2)
(/.f64 (+.f64 1 (/.f64 (/.f64 (+.f64 alpha i) (/.f64 (+.f64 alpha (+.f64 i (*.f64 beta 2))) (-.f64 i alpha))) (+.f64 2 (+.f64 alpha (+.f64 i (*.f64 beta 2)))))) 2)
(/.f64 (+.f64 1 (*.f64 (/.f64 (+.f64 alpha i) (+.f64 i (+.f64 alpha (fma.f64 beta 2 2)))) (/.f64 (-.f64 i alpha) (fma.f64 beta 2 (+.f64 alpha i))))) 2)
(/.f64 (fma.f64 (/.f64 (+.f64 alpha i) (+.f64 alpha (+.f64 2 (fma.f64 beta 2 i)))) (/.f64 (-.f64 i alpha) (+.f64 alpha (fma.f64 beta 2 i))) 1) 2)
Compiler

Compiled 306 to 138 computations (54.9% saved)

eval1.0ms (0%)

Compiler

Compiled 85 to 48 computations (43.5% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
83.4%
(/.f64 (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) 1) 2)
83.4%
(/.f64 (+.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (+.f64 beta (*.f64 2 i))) (-.f64 beta alpha))) (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 2 i) 2))) 1) 2)
83.4%
(/.f64 (+.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))) 1) 2)
Compiler

Compiled 91 to 58 computations (36.3% saved)

localize711.0ms (3.1%)

Localize:

Found 12 expressions with local error:

NewAccuracyProgram
100.0%
(+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))
99.6%
(/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))
99.5%
(/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))
83.4%
(fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) 1)
99.8%
(/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (+.f64 beta (*.f64 2 i))) (-.f64 beta alpha)))
99.6%
(/.f64 (+.f64 alpha (+.f64 beta (*.f64 2 i))) (-.f64 beta alpha))
99.5%
(/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (+.f64 beta (*.f64 2 i))) (-.f64 beta alpha))) (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 2 i) 2)))
83.4%
(+.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (+.f64 beta (*.f64 2 i))) (-.f64 beta alpha))) (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 2 i) 2))) 1)
99.8%
(*.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))))
99.6%
(/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))
99.5%
(/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2)))
83.4%
(+.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))) 1)
Compiler

Compiled 388 to 186 computations (52.1% saved)

series143.0ms (0.6%)

Counts
12 → 432
Calls

108 calls:

TimeVariablePointExpression
7.0ms
alpha
@inf
(fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) 1)
6.0ms
alpha
@0
(+.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))) 1)
6.0ms
alpha
@0
(*.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))))
5.0ms
i
@0
(+.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))) 1)
4.0ms
alpha
@-inf
(+.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))) 1)

rewrite293.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
392×frac-times
300×times-frac
299×log1p-expm1-u
299×expm1-log1p-u
294×add-cube-cbrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037797
1730797
Stop Event
node limit
Counts
12 → 356
Calls
Call 1
Inputs
(+.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))) 1)
(/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2)))
(/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))
(*.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))))
(+.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (+.f64 beta (*.f64 2 i))) (-.f64 beta alpha))) (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 2 i) 2))) 1)
(/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (+.f64 beta (*.f64 2 i))) (-.f64 beta alpha))) (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 2 i) 2)))
(/.f64 (+.f64 alpha (+.f64 beta (*.f64 2 i))) (-.f64 beta alpha))
(/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (+.f64 beta (*.f64 2 i))) (-.f64 beta alpha)))
(fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) 1)
(/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))
(+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) 1))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))) 2) (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) -1)) (/.f64 1 (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) -1)))
(*.f64 1 (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) 1))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) 1)) 2) (cbrt.f64 (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) 1)))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) 1)) (sqrt.f64 (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) 1)))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))) 3) 1) (+.f64 (pow.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))) 2) (-.f64 1 (*.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))) 1))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))) 2) 1) (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))) 3) 1)) (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))) 2) (-.f64 1 (*.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))) 1)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))) 2) 1)) (neg.f64 (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) -1)))
(/.f64 (+.f64 1 (pow.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))) 3)) (+.f64 1 (-.f64 (pow.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))) 2) (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))))))
(pow.f64 (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) 1) 1)
(pow.f64 (cbrt.f64 (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) 1)) 3)
(pow.f64 (pow.f64 (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) 1) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) 1)) 2)
(sqrt.f64 (pow.f64 (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) 1) 2))
(log.f64 (exp.f64 (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) 1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) 1))))
(cbrt.f64 (pow.f64 (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) 1) 3))
(expm1.f64 (log1p.f64 (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) 1)))
(exp.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))))))
(exp.f64 (*.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) 1)))
(fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) 1)
(fma.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) 1)
(fma.f64 1 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))))) 2) (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))))) 1)
(fma.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))))) (sqrt.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))))) 1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))))) 1)
(*.f64 (+.f64 alpha beta) (/.f64 1 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))))
(*.f64 1 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) 2) (cbrt.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) (sqrt.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) 2)) (/.f64 (+.f64 alpha beta) (cbrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) (/.f64 (+.f64 alpha beta) (sqrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha beta)) 2) 1) (/.f64 (cbrt.f64 (+.f64 alpha beta)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha beta)) 1) (/.f64 (sqrt.f64 (+.f64 alpha beta)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha beta)) 2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) 2)) (cbrt.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha beta)) 2) (sqrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) (/.f64 (cbrt.f64 (+.f64 alpha beta)) (sqrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha beta)) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) 2)) (/.f64 (sqrt.f64 (+.f64 alpha beta)) (cbrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))))
(pow.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) 2)
(pow.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 alpha beta)) -1)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha beta) 3) (pow.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))))
(exp.f64 (log.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))))
(-.f64 (/.f64 beta (fma.f64 2 i (+.f64 alpha beta))) (/.f64 alpha (fma.f64 2 i (+.f64 alpha beta))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))))) 1)
(*.f64 (-.f64 beta alpha) (/.f64 1 (fma.f64 2 i (+.f64 alpha beta))))
(*.f64 1 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))) 2) (cbrt.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 i (+.f64 alpha beta))) 2)) (/.f64 (-.f64 beta alpha) (cbrt.f64 (fma.f64 2 i (+.f64 alpha beta)))))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 2 i (+.f64 alpha beta)))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (fma.f64 2 i (+.f64 alpha beta)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) 1) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (fma.f64 2 i (+.f64 alpha beta))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) 1) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (fma.f64 2 i (+.f64 alpha beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (pow.f64 (cbrt.f64 (fma.f64 2 i (+.f64 alpha beta))) 2)) (cbrt.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (sqrt.f64 (fma.f64 2 i (+.f64 alpha beta)))) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (sqrt.f64 (fma.f64 2 i (+.f64 alpha beta)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (pow.f64 (cbrt.f64 (fma.f64 2 i (+.f64 alpha beta))) 2)) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (cbrt.f64 (fma.f64 2 i (+.f64 alpha beta)))))
(pow.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) 1)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))) 2)
(pow.f64 (/.f64 (fma.f64 2 i (+.f64 alpha beta)) (-.f64 beta alpha)) -1)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 beta alpha) 3) (pow.f64 (fma.f64 2 i (+.f64 alpha beta)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))))
(exp.f64 (log.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))))
(-.f64 (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) 1) 1)
(/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (fma.f64 2 i (+.f64 alpha beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))))
(/.f64 (-.f64 beta alpha) (*.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 alpha beta)) (fma.f64 2 i (+.f64 alpha beta))))
(/.f64 1 (*.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 alpha beta)) (/.f64 (fma.f64 2 i (+.f64 alpha beta)) (-.f64 beta alpha))))
(/.f64 1 (*.f64 (/.f64 (fma.f64 2 i (+.f64 alpha beta)) (-.f64 beta alpha)) (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 alpha beta))))
(/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (fma.f64 2 i (+.f64 alpha beta))))
(/.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) (-.f64 beta alpha)) (fma.f64 2 i (+.f64 alpha beta)))
(/.f64 (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))
(/.f64 (*.f64 (-.f64 beta alpha) 1) (*.f64 (fma.f64 2 i (+.f64 alpha beta)) (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 alpha beta))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 beta alpha))) (*.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 alpha beta)) (neg.f64 (fma.f64 2 i (+.f64 alpha beta)))))
(/.f64 (*.f64 (neg.f64 (-.f64 beta alpha)) 1) (*.f64 (neg.f64 (fma.f64 2 i (+.f64 alpha beta))) (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (+.f64 alpha beta))))
(/.f64 (*.f64 (+.f64 alpha beta) 1) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (/.f64 (fma.f64 2 i (+.f64 alpha beta)) (-.f64 beta alpha))))
(/.f64 (*.f64 1 (neg.f64 (+.f64 alpha beta))) (*.f64 (/.f64 (fma.f64 2 i (+.f64 alpha beta)) (-.f64 beta alpha)) (neg.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))))
(/.f64 (*.f64 (neg.f64 (+.f64 alpha beta)) 1) (*.f64 (neg.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) (/.f64 (fma.f64 2 i (+.f64 alpha beta)) (-.f64 beta alpha))))
(/.f64 (*.f64 (+.f64 alpha beta) (neg.f64 (-.f64 beta alpha))) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (neg.f64 (fma.f64 2 i (+.f64 alpha beta)))))
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(log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (/.f64 (pow.f64 (fma.f64 2 i 2) 2) (-.f64 (+.f64 alpha beta) (fma.f64 2 i 2))))
(-.f64 (/.f64 (pow.f64 alpha 2) (-.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) (/.f64 (pow.f64 (+.f64 beta (fma.f64 2 i 2)) 2) (-.f64 alpha (+.f64 beta (fma.f64 2 i 2)))))
(*.f64 1 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) 2) (cbrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))))
(*.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) (sqrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))))
(/.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 3) (pow.f64 (fma.f64 2 i 2) 3)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 (pow.f64 (fma.f64 2 i 2) 2) (*.f64 (+.f64 alpha beta) (fma.f64 2 i 2)))))
(/.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta (fma.f64 2 i 2)) 3)) (fma.f64 alpha alpha (-.f64 (pow.f64 (+.f64 beta (fma.f64 2 i 2)) 2) (*.f64 alpha (+.f64 beta (fma.f64 2 i 2))))))
(/.f64 (-.f64 (pow.f64 (+.f64 alpha beta) 2) (pow.f64 (fma.f64 2 i 2) 2)) (-.f64 (+.f64 alpha beta) (fma.f64 2 i 2)))
(/.f64 (-.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta (fma.f64 2 i 2)) 2)) (-.f64 alpha (+.f64 beta (fma.f64 2 i 2))))
(/.f64 (+.f64 (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 beta 3)) (+.f64 (pow.f64 (*.f64 2 i) 2) (-.f64 4 (*.f64 (*.f64 2 i) 2)))) (*.f64 (fma.f64 alpha alpha (-.f64 (pow.f64 beta 2) (*.f64 alpha beta))) (+.f64 (pow.f64 (*.f64 2 i) 3) 8))) (*.f64 (fma.f64 alpha alpha (-.f64 (pow.f64 beta 2) (*.f64 alpha beta))) (+.f64 (pow.f64 (*.f64 2 i) 2) (-.f64 4 (*.f64 (*.f64 2 i) 2)))))
(/.f64 (+.f64 (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 beta 3)) (fma.f64 2 i -2)) (*.f64 (fma.f64 alpha alpha (-.f64 (pow.f64 beta 2) (*.f64 alpha beta))) (-.f64 (pow.f64 (*.f64 2 i) 2) 4))) (*.f64 (fma.f64 alpha alpha (-.f64 (pow.f64 beta 2) (*.f64 alpha beta))) (fma.f64 2 i -2)))
(/.f64 (+.f64 (*.f64 (-.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (+.f64 (pow.f64 (*.f64 2 i) 2) (-.f64 4 (*.f64 (*.f64 2 i) 2)))) (*.f64 (-.f64 alpha beta) (+.f64 (pow.f64 (*.f64 2 i) 3) 8))) (*.f64 (-.f64 alpha beta) (+.f64 (pow.f64 (*.f64 2 i) 2) (-.f64 4 (*.f64 (*.f64 2 i) 2)))))
(/.f64 (+.f64 (*.f64 (-.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (fma.f64 2 i -2)) (*.f64 (-.f64 alpha beta) (-.f64 (pow.f64 (*.f64 2 i) 2) 4))) (*.f64 (-.f64 alpha beta) (fma.f64 2 i -2)))
(/.f64 (+.f64 (*.f64 (+.f64 (pow.f64 (*.f64 2 i) 3) 8) (fma.f64 alpha alpha (-.f64 (pow.f64 beta 2) (*.f64 alpha beta)))) (*.f64 (+.f64 (pow.f64 (*.f64 2 i) 2) (-.f64 4 (*.f64 (*.f64 2 i) 2))) (+.f64 (pow.f64 alpha 3) (pow.f64 beta 3)))) (*.f64 (+.f64 (pow.f64 (*.f64 2 i) 2) (-.f64 4 (*.f64 (*.f64 2 i) 2))) (fma.f64 alpha alpha (-.f64 (pow.f64 beta 2) (*.f64 alpha beta)))))
(/.f64 (+.f64 (*.f64 (+.f64 (pow.f64 (*.f64 2 i) 3) 8) (-.f64 alpha beta)) (*.f64 (+.f64 (pow.f64 (*.f64 2 i) 2) (-.f64 4 (*.f64 (*.f64 2 i) 2))) (-.f64 (pow.f64 alpha 2) (pow.f64 beta 2)))) (*.f64 (+.f64 (pow.f64 (*.f64 2 i) 2) (-.f64 4 (*.f64 (*.f64 2 i) 2))) (-.f64 alpha beta)))
(/.f64 (+.f64 (*.f64 (-.f64 (pow.f64 (*.f64 2 i) 2) 4) (fma.f64 alpha alpha (-.f64 (pow.f64 beta 2) (*.f64 alpha beta)))) (*.f64 (fma.f64 2 i -2) (+.f64 (pow.f64 alpha 3) (pow.f64 beta 3)))) (*.f64 (fma.f64 2 i -2) (fma.f64 alpha alpha (-.f64 (pow.f64 beta 2) (*.f64 alpha beta)))))
(/.f64 (+.f64 (*.f64 (-.f64 (pow.f64 (*.f64 2 i) 2) 4) (-.f64 alpha beta)) (*.f64 (fma.f64 2 i -2) (-.f64 (pow.f64 alpha 2) (pow.f64 beta 2)))) (*.f64 (fma.f64 2 i -2) (-.f64 alpha beta)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 3) (pow.f64 (fma.f64 2 i 2) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 (pow.f64 (fma.f64 2 i 2) 2) (*.f64 (+.f64 alpha beta) (fma.f64 2 i 2))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta (fma.f64 2 i 2)) 3))) (neg.f64 (fma.f64 alpha alpha (-.f64 (pow.f64 (+.f64 beta (fma.f64 2 i 2)) 2) (*.f64 alpha (+.f64 beta (fma.f64 2 i 2)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 alpha beta) 2) (pow.f64 (fma.f64 2 i 2) 2))) (neg.f64 (-.f64 (+.f64 alpha beta) (fma.f64 2 i 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta (fma.f64 2 i 2)) 2))) (neg.f64 (-.f64 alpha (+.f64 beta (fma.f64 2 i 2)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 2 i 2) 3) (pow.f64 (+.f64 alpha beta) 3)) (+.f64 (pow.f64 (fma.f64 2 i 2) 2) (-.f64 (pow.f64 (+.f64 alpha beta) 2) (*.f64 (fma.f64 2 i 2) (+.f64 alpha beta)))))
(/.f64 (+.f64 (pow.f64 (+.f64 alpha (fma.f64 2 i beta)) 3) 8) (+.f64 (pow.f64 (+.f64 alpha (fma.f64 2 i beta)) 2) (-.f64 4 (*.f64 (+.f64 alpha (fma.f64 2 i beta)) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 beta (fma.f64 2 i 2)) 3) (pow.f64 alpha 3)) (+.f64 (pow.f64 (+.f64 beta (fma.f64 2 i 2)) 2) (-.f64 (pow.f64 alpha 2) (*.f64 (+.f64 beta (fma.f64 2 i 2)) alpha))))
(pow.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) 1)
(pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) 3)
(pow.f64 (pow.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) 2)
(sqrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) 2))
(log.f64 (exp.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))))
(cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) 3))
(expm1.f64 (log1p.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))))
(exp.f64 (log.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))))
(exp.f64 (*.f64 (log.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) 1))
(log1p.f64 (expm1.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))))
(fma.f64 1 alpha (+.f64 beta (fma.f64 2 i 2)))
(fma.f64 1 (+.f64 alpha beta) (fma.f64 2 i 2))
(fma.f64 1 (fma.f64 2 i 2) (+.f64 alpha beta))
(fma.f64 1 (+.f64 alpha (fma.f64 2 i beta)) 2)
(fma.f64 1 (+.f64 beta (fma.f64 2 i 2)) alpha)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 2 i 2)) 2) (cbrt.f64 (fma.f64 2 i 2)) (+.f64 alpha beta))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 alpha beta)) 2) (cbrt.f64 (+.f64 alpha beta)) (fma.f64 2 i 2))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (fma.f64 2 i beta))) 2) (cbrt.f64 (+.f64 alpha (fma.f64 2 i beta))) 2)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 beta (fma.f64 2 i 2))) 2) (cbrt.f64 (+.f64 beta (fma.f64 2 i 2))) alpha)
(fma.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 alpha) (+.f64 beta (fma.f64 2 i 2)))
(fma.f64 (sqrt.f64 (fma.f64 2 i 2)) (sqrt.f64 (fma.f64 2 i 2)) (+.f64 alpha beta))
(fma.f64 (sqrt.f64 (+.f64 alpha beta)) (sqrt.f64 (+.f64 alpha beta)) (fma.f64 2 i 2))
(fma.f64 (sqrt.f64 (+.f64 alpha (fma.f64 2 i beta))) (sqrt.f64 (+.f64 alpha (fma.f64 2 i beta))) 2)
(fma.f64 (sqrt.f64 (+.f64 beta (fma.f64 2 i 2))) (sqrt.f64 (+.f64 beta (fma.f64 2 i 2))) alpha)
(fma.f64 (sqrt.f64 alpha) (sqrt.f64 alpha) (+.f64 beta (fma.f64 2 i 2)))

simplify869.0ms (3.8%)

Algorithm
egg-herbie
Rules
972×*-commutative
932×+-commutative
802×sub-neg
608×fma-def
566×unsub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01966122959
16446121001
Stop Event
node limit
Counts
788 → 966
Calls
Call 1
Inputs
(+.f64 1 (/.f64 (pow.f64 beta 2) (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i)))))
(+.f64 1 (+.f64 (*.f64 alpha (-.f64 (+.f64 (*.f64 -1 (/.f64 beta (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i))))) (/.f64 beta (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i))))) (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i)))) (*.f64 (pow.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) 2) (pow.f64 (+.f64 beta (*.f64 2 i)) 2))))) (/.f64 (pow.f64 beta 2) (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i))))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 2) (+.f64 (/.f64 1 (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i)))) (+.f64 (/.f64 (*.f64 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))) (-.f64 (+.f64 (*.f64 -1 (/.f64 beta (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i))))) (/.f64 beta (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i))))) (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i)))) (*.f64 (pow.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) 2) (pow.f64 (+.f64 beta (*.f64 2 i)) 2))))) (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i)))) (/.f64 (pow.f64 beta 2) (*.f64 (pow.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) 2) (pow.f64 (+.f64 beta (*.f64 2 i)) 2))))))) (+.f64 (*.f64 alpha (-.f64 (+.f64 (*.f64 -1 (/.f64 beta (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i))))) (/.f64 beta (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i))))) (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i)))) (*.f64 (pow.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) 2) (pow.f64 (+.f64 beta (*.f64 2 i)) 2))))) (/.f64 (pow.f64 beta 2) (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i)))))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 2) (+.f64 (/.f64 1 (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i)))) (+.f64 (/.f64 (*.f64 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))) (-.f64 (+.f64 (*.f64 -1 (/.f64 beta (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i))))) (/.f64 beta (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i))))) (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i)))) (*.f64 (pow.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) 2) (pow.f64 (+.f64 beta (*.f64 2 i)) 2))))) (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i)))) (/.f64 (pow.f64 beta 2) (*.f64 (pow.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) 2) (pow.f64 (+.f64 beta (*.f64 2 i)) 2))))))) (+.f64 (*.f64 alpha (-.f64 (+.f64 (*.f64 -1 (/.f64 beta (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i))))) (/.f64 beta (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i))))) (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i)))) (*.f64 (pow.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) 2) (pow.f64 (+.f64 beta (*.f64 2 i)) 2))))) (+.f64 (*.f64 (pow.f64 alpha 3) (-.f64 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i)))) (*.f64 (pow.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) 3) (pow.f64 (+.f64 beta (*.f64 2 i)) 3))) (+.f64 (*.f64 -1 (/.f64 beta (*.f64 (pow.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) 2) (pow.f64 (+.f64 beta (*.f64 2 i)) 2)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))) (+.f64 (/.f64 1 (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i)))) (+.f64 (/.f64 (*.f64 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))) (-.f64 (+.f64 (*.f64 -1 (/.f64 beta (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i))))) (/.f64 beta (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i))))) (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i)))) (*.f64 (pow.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) 2) (pow.f64 (+.f64 beta (*.f64 2 i)) 2))))) (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i)))) (/.f64 (pow.f64 beta 2) (*.f64 (pow.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) 2) (pow.f64 (+.f64 beta (*.f64 2 i)) 2)))))) (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i))))) (/.f64 beta (*.f64 (pow.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) 2) (pow.f64 (+.f64 beta (*.f64 2 i)) 2))))))) (/.f64 (pow.f64 beta 2) (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i))))))))
(/.f64 (-.f64 (+.f64 beta (*.f64 -1 beta)) (*.f64 -1 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))))) alpha)
(-.f64 (+.f64 (*.f64 -1 (/.f64 beta alpha)) (+.f64 (/.f64 beta alpha) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))) alpha)) (/.f64 (*.f64 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))) (-.f64 (+.f64 beta (*.f64 -1 beta)) (*.f64 -1 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i)))))) (pow.f64 alpha 2)))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (*.f64 (+.f64 beta (*.f64 2 i)) (-.f64 (+.f64 beta (*.f64 -1 beta)) (*.f64 -1 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))))))) (*.f64 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))) (-.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1 (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i)))) (*.f64 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))) (-.f64 (+.f64 beta (*.f64 -1 beta)) (*.f64 -1 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i)))))))))) (pow.f64 alpha 3))) (+.f64 (/.f64 beta alpha) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))) alpha)) (/.f64 (*.f64 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))) (-.f64 (+.f64 beta (*.f64 -1 beta)) (*.f64 -1 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i)))))) (pow.f64 alpha 2)))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))) (+.f64 (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (*.f64 (+.f64 beta (*.f64 2 i)) (-.f64 (+.f64 beta (*.f64 -1 beta)) (*.f64 -1 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))))))) (*.f64 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))) (-.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1 (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i)))) (*.f64 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))) (-.f64 (+.f64 beta (*.f64 -1 beta)) (*.f64 -1 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i)))))))))))) (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (*.f64 (+.f64 beta (*.f64 2 i)) (-.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1 (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i)))) (*.f64 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))) (-.f64 (+.f64 beta (*.f64 -1 beta)) (*.f64 -1 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))))))))))) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (*.f64 (+.f64 beta (*.f64 2 i)) (-.f64 (+.f64 beta (*.f64 -1 beta)) (*.f64 -1 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))))))) (*.f64 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))) (-.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1 (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i)))) (*.f64 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))) (-.f64 (+.f64 beta (*.f64 -1 beta)) (*.f64 -1 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i)))))))))) (pow.f64 alpha 3))) (+.f64 (/.f64 beta alpha) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))) alpha)) (/.f64 (*.f64 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))) (-.f64 (+.f64 beta (*.f64 -1 beta)) (*.f64 -1 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i)))))) (pow.f64 alpha 2)))))
(*.f64 -1 (/.f64 (-.f64 (+.f64 beta (*.f64 -1 beta)) (*.f64 -1 (+.f64 (*.f64 -1 (+.f64 2 (+.f64 beta (*.f64 2 i)))) (*.f64 -1 (+.f64 beta (*.f64 2 i)))))) alpha))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 beta (*.f64 -1 beta)) (*.f64 -1 (+.f64 (*.f64 -1 (+.f64 2 (+.f64 beta (*.f64 2 i)))) (*.f64 -1 (+.f64 beta (*.f64 2 i)))))) alpha)) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i))) (pow.f64 alpha 2))) (/.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 2 (+.f64 beta (*.f64 2 i)))) (*.f64 -1 (+.f64 beta (*.f64 2 i)))) (-.f64 (+.f64 beta (*.f64 -1 beta)) (*.f64 -1 (+.f64 (*.f64 -1 (+.f64 2 (+.f64 beta (*.f64 2 i)))) (*.f64 -1 (+.f64 beta (*.f64 2 i))))))) (pow.f64 alpha 2))))
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1
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1
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1
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1
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1
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1
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-1
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-1
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(/.f64 (-.f64 beta alpha) (+.f64 alpha beta))
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1
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1
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1
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(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
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(*.f64 1/4 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (pow.f64 i 2)))
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (+.f64 alpha beta) (*.f64 (+.f64 (*.f64 2 (+.f64 2 (+.f64 alpha beta))) (*.f64 2 (+.f64 alpha beta))) (-.f64 beta alpha))) (pow.f64 i 3))) (*.f64 1/4 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (pow.f64 i 2))))
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(*.f64 1/4 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (pow.f64 i 2)))
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (+.f64 alpha beta) (*.f64 (+.f64 (*.f64 -2 (+.f64 2 (+.f64 alpha beta))) (*.f64 -2 (+.f64 alpha beta))) (-.f64 beta alpha))) (pow.f64 i 3))) (*.f64 1/4 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (pow.f64 i 2))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (*.f64 (+.f64 alpha beta) (*.f64 (pow.f64 (+.f64 (*.f64 -2 (+.f64 2 (+.f64 alpha beta))) (*.f64 -2 (+.f64 alpha beta))) 2) (-.f64 beta alpha)))) (*.f64 1/16 (*.f64 (+.f64 2 (+.f64 alpha beta)) (*.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 beta alpha))))) (pow.f64 i 4))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (+.f64 alpha beta) (*.f64 (+.f64 (*.f64 -2 (+.f64 2 (+.f64 alpha beta))) (*.f64 -2 (+.f64 alpha beta))) (-.f64 beta alpha))) (pow.f64 i 3))) (*.f64 1/4 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (pow.f64 i 2)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (*.f64 (+.f64 alpha beta) (*.f64 (pow.f64 (+.f64 (*.f64 -2 (+.f64 2 (+.f64 alpha beta))) (*.f64 -2 (+.f64 alpha beta))) 2) (-.f64 beta alpha)))) (*.f64 1/16 (*.f64 (+.f64 2 (+.f64 alpha beta)) (*.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 beta alpha))))) (pow.f64 i 4))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (+.f64 (*.f64 -2 (+.f64 2 (+.f64 alpha beta))) (*.f64 -2 (+.f64 alpha beta))) (+.f64 (*.f64 -1/64 (*.f64 (+.f64 alpha beta) (*.f64 (pow.f64 (+.f64 (*.f64 -2 (+.f64 2 (+.f64 alpha beta))) (*.f64 -2 (+.f64 alpha beta))) 2) (-.f64 beta alpha)))) (*.f64 1/16 (*.f64 (+.f64 2 (+.f64 alpha beta)) (*.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 beta alpha)))))) (pow.f64 i 5))) (+.f64 (*.f64 -1/64 (/.f64 (*.f64 (+.f64 2 (+.f64 alpha beta)) (*.f64 (pow.f64 (+.f64 alpha beta) 2) (*.f64 (+.f64 (*.f64 -2 (+.f64 2 (+.f64 alpha beta))) (*.f64 -2 (+.f64 alpha beta))) (-.f64 beta alpha)))) (pow.f64 i 5))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (+.f64 alpha beta) (*.f64 (+.f64 (*.f64 -2 (+.f64 2 (+.f64 alpha beta))) (*.f64 -2 (+.f64 alpha beta))) (-.f64 beta alpha))) (pow.f64 i 3))) (*.f64 1/4 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (pow.f64 i 2)))))))
(/.f64 (+.f64 beta (*.f64 2 i)) beta)
(+.f64 1 (+.f64 (*.f64 2 (/.f64 i beta)) (*.f64 alpha (-.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (+.f64 beta (*.f64 2 i)) (pow.f64 beta 2)))))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 i beta)) (+.f64 (*.f64 alpha (-.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (+.f64 beta (*.f64 2 i)) (pow.f64 beta 2))))) (/.f64 (*.f64 (pow.f64 alpha 2) (-.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (+.f64 beta (*.f64 2 i)) (pow.f64 beta 2))))) beta))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 i beta)) (+.f64 (*.f64 alpha (-.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (+.f64 beta (*.f64 2 i)) (pow.f64 beta 2))))) (+.f64 (/.f64 (*.f64 (pow.f64 alpha 2) (-.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (+.f64 beta (*.f64 2 i)) (pow.f64 beta 2))))) beta) (/.f64 (*.f64 (pow.f64 alpha 3) (-.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (+.f64 beta (*.f64 2 i)) (pow.f64 beta 2))))) (pow.f64 beta 2))))))
-1
(-.f64 (*.f64 -1 (/.f64 (+.f64 beta (*.f64 2 i)) alpha)) (+.f64 1 (/.f64 beta alpha)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 beta (*.f64 2 i)) alpha)) (/.f64 (*.f64 beta (-.f64 (*.f64 -1 (+.f64 beta (*.f64 2 i))) beta)) (pow.f64 alpha 2))) (+.f64 1 (/.f64 beta alpha)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 beta (*.f64 2 i)) alpha)) (+.f64 (/.f64 (*.f64 beta (-.f64 (*.f64 -1 (+.f64 beta (*.f64 2 i))) beta)) (pow.f64 alpha 2)) (/.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (+.f64 beta (*.f64 2 i))) beta)) (pow.f64 alpha 3)))) (+.f64 1 (/.f64 beta alpha)))
-1
(-.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 beta (*.f64 2 i)) (*.f64 -1 beta)) alpha)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (-.f64 (+.f64 beta (*.f64 2 i)) (*.f64 -1 beta))) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (-.f64 (+.f64 beta (*.f64 2 i)) (*.f64 -1 beta)) alpha))) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (-.f64 (+.f64 beta (*.f64 2 i)) (*.f64 -1 beta))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 2) (-.f64 (+.f64 beta (*.f64 2 i)) (*.f64 -1 beta))) (pow.f64 alpha 3))) (*.f64 -1 (/.f64 (-.f64 (+.f64 beta (*.f64 2 i)) (*.f64 -1 beta)) alpha)))) 1)
(*.f64 -1 (/.f64 (+.f64 alpha (*.f64 2 i)) alpha))
(+.f64 (*.f64 -1 (*.f64 beta (+.f64 (*.f64 2 (/.f64 i (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))) (*.f64 -1 (/.f64 (+.f64 alpha (*.f64 2 i)) alpha)))
(+.f64 (*.f64 -1 (*.f64 beta (+.f64 (*.f64 2 (/.f64 i (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 2 (/.f64 i (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))))) (*.f64 -1 (/.f64 (+.f64 alpha (*.f64 2 i)) alpha))))
(+.f64 (*.f64 -1 (*.f64 beta (+.f64 (*.f64 2 (/.f64 i (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 2 (/.f64 i (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 2 (/.f64 i (pow.f64 alpha 4))) (*.f64 2 (/.f64 1 (pow.f64 alpha 3)))))) (*.f64 -1 (/.f64 (+.f64 alpha (*.f64 2 i)) alpha)))))
1
(-.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 i beta)) (/.f64 alpha beta))) (*.f64 -1 (/.f64 alpha beta)))
(-.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 i beta)) (+.f64 (/.f64 alpha beta) (/.f64 (*.f64 alpha (-.f64 (+.f64 alpha (*.f64 2 i)) (*.f64 -1 alpha))) (pow.f64 beta 2))))) (*.f64 -1 (/.f64 alpha beta)))
(-.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 i beta)) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 (*.f64 alpha (-.f64 (+.f64 alpha (*.f64 2 i)) (*.f64 -1 alpha))) (pow.f64 beta 2)) (/.f64 (*.f64 (pow.f64 alpha 2) (-.f64 (+.f64 alpha (*.f64 2 i)) (*.f64 -1 alpha))) (pow.f64 beta 3)))))) (*.f64 -1 (/.f64 alpha beta)))
1
(-.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 i beta)) (/.f64 alpha beta))) (*.f64 -1 (/.f64 alpha beta)))
(-.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 i beta)) (+.f64 (/.f64 alpha beta) (/.f64 (*.f64 alpha (-.f64 (+.f64 alpha (*.f64 2 i)) (*.f64 -1 alpha))) (pow.f64 beta 2))))) (*.f64 -1 (/.f64 alpha beta)))
(-.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 i beta)) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 (*.f64 alpha (-.f64 (+.f64 alpha (*.f64 2 i)) (*.f64 -1 alpha))) (pow.f64 beta 2)) (/.f64 (*.f64 (pow.f64 alpha 2) (-.f64 (+.f64 alpha (*.f64 2 i)) (*.f64 -1 alpha))) (pow.f64 beta 3)))))) (*.f64 -1 (/.f64 alpha beta)))
(/.f64 (+.f64 alpha beta) (-.f64 beta alpha))
(+.f64 (*.f64 2 (/.f64 i (-.f64 beta alpha))) (+.f64 (/.f64 alpha (-.f64 beta alpha)) (/.f64 beta (-.f64 beta alpha))))
(+.f64 (*.f64 2 (/.f64 i (-.f64 beta alpha))) (+.f64 (/.f64 alpha (-.f64 beta alpha)) (/.f64 beta (-.f64 beta alpha))))
(+.f64 (*.f64 2 (/.f64 i (-.f64 beta alpha))) (+.f64 (/.f64 alpha (-.f64 beta alpha)) (/.f64 beta (-.f64 beta alpha))))
(*.f64 2 (/.f64 i (-.f64 beta alpha)))
(+.f64 (*.f64 2 (/.f64 i (-.f64 beta alpha))) (+.f64 (/.f64 alpha (-.f64 beta alpha)) (/.f64 beta (-.f64 beta alpha))))
(+.f64 (*.f64 2 (/.f64 i (-.f64 beta alpha))) (+.f64 (/.f64 alpha (-.f64 beta alpha)) (/.f64 beta (-.f64 beta alpha))))
(+.f64 (*.f64 2 (/.f64 i (-.f64 beta alpha))) (+.f64 (/.f64 alpha (-.f64 beta alpha)) (/.f64 beta (-.f64 beta alpha))))
(*.f64 2 (/.f64 i (-.f64 beta alpha)))
(+.f64 (*.f64 2 (/.f64 i (-.f64 beta alpha))) (+.f64 (/.f64 alpha (-.f64 beta alpha)) (/.f64 beta (-.f64 beta alpha))))
(+.f64 (*.f64 2 (/.f64 i (-.f64 beta alpha))) (+.f64 (/.f64 alpha (-.f64 beta alpha)) (/.f64 beta (-.f64 beta alpha))))
(+.f64 (*.f64 2 (/.f64 i (-.f64 beta alpha))) (+.f64 (/.f64 alpha (-.f64 beta alpha)) (/.f64 beta (-.f64 beta alpha))))
(/.f64 (pow.f64 beta 2) (+.f64 beta (*.f64 2 i)))
(+.f64 (*.f64 alpha (-.f64 (+.f64 (*.f64 -1 (/.f64 beta (+.f64 beta (*.f64 2 i)))) (/.f64 beta (+.f64 beta (*.f64 2 i)))) (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta (*.f64 2 i)) 2)))) (/.f64 (pow.f64 beta 2) (+.f64 beta (*.f64 2 i))))
(+.f64 (*.f64 alpha (-.f64 (+.f64 (*.f64 -1 (/.f64 beta (+.f64 beta (*.f64 2 i)))) (/.f64 beta (+.f64 beta (*.f64 2 i)))) (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta (*.f64 2 i)) 2)))) (+.f64 (*.f64 (pow.f64 alpha 2) (-.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta (*.f64 2 i)) 3)) (+.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta (*.f64 2 i)) 2))) (+.f64 (/.f64 1 (+.f64 beta (*.f64 2 i))) (/.f64 beta (pow.f64 (+.f64 beta (*.f64 2 i)) 2)))))) (/.f64 (pow.f64 beta 2) (+.f64 beta (*.f64 2 i)))))
(+.f64 (*.f64 alpha (-.f64 (+.f64 (*.f64 -1 (/.f64 beta (+.f64 beta (*.f64 2 i)))) (/.f64 beta (+.f64 beta (*.f64 2 i)))) (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta (*.f64 2 i)) 2)))) (+.f64 (*.f64 (pow.f64 alpha 2) (-.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta (*.f64 2 i)) 3)) (+.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta (*.f64 2 i)) 2))) (+.f64 (/.f64 1 (+.f64 beta (*.f64 2 i))) (/.f64 beta (pow.f64 (+.f64 beta (*.f64 2 i)) 2)))))) (+.f64 (*.f64 (pow.f64 alpha 3) (-.f64 (+.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta (*.f64 2 i)) 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta (*.f64 2 i)) 2)) (/.f64 beta (pow.f64 (+.f64 beta (*.f64 2 i)) 3)))) (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta (*.f64 2 i)) 4)))) (/.f64 (pow.f64 beta 2) (+.f64 beta (*.f64 2 i))))))
(*.f64 -1 alpha)
(-.f64 (+.f64 beta (+.f64 (*.f64 -1 alpha) (*.f64 -1 beta))) (*.f64 -1 (+.f64 beta (*.f64 2 i))))
(-.f64 (+.f64 beta (+.f64 (*.f64 -1 alpha) (+.f64 (*.f64 -1 beta) (/.f64 (pow.f64 beta 2) alpha)))) (+.f64 (*.f64 -1 (+.f64 beta (*.f64 2 i))) (/.f64 (*.f64 (+.f64 beta (*.f64 2 i)) (-.f64 (+.f64 beta (*.f64 -1 beta)) (*.f64 -1 (+.f64 beta (*.f64 2 i))))) alpha)))
(-.f64 (+.f64 beta (+.f64 (*.f64 -1 alpha) (+.f64 (*.f64 -1 beta) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta (*.f64 2 i)) (-.f64 (pow.f64 beta 2) (*.f64 (+.f64 beta (*.f64 2 i)) (-.f64 (+.f64 beta (*.f64 -1 beta)) (*.f64 -1 (+.f64 beta (*.f64 2 i))))))) (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) alpha))))) (+.f64 (*.f64 -1 (+.f64 beta (*.f64 2 i))) (/.f64 (*.f64 (+.f64 beta (*.f64 2 i)) (-.f64 (+.f64 beta (*.f64 -1 beta)) (*.f64 -1 (+.f64 beta (*.f64 2 i))))) alpha)))
(*.f64 -1 alpha)
(-.f64 (+.f64 (*.f64 -1 alpha) (*.f64 -1 (+.f64 beta (*.f64 -1 beta)))) (*.f64 -1 (+.f64 beta (*.f64 2 i))))
(-.f64 (+.f64 (*.f64 -1 alpha) (+.f64 (*.f64 -1 (+.f64 beta (*.f64 -1 beta))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (pow.f64 beta 2)) (*.f64 -1 (*.f64 (+.f64 beta (*.f64 2 i)) (-.f64 (*.f64 -1 (+.f64 beta (*.f64 -1 beta))) (*.f64 -1 (+.f64 beta (*.f64 2 i))))))) alpha)))) (*.f64 -1 (+.f64 beta (*.f64 2 i))))
(-.f64 (+.f64 (*.f64 -1 alpha) (+.f64 (*.f64 -1 (+.f64 beta (*.f64 -1 beta))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (pow.f64 beta 2)) (*.f64 -1 (*.f64 (+.f64 beta (*.f64 2 i)) (-.f64 (*.f64 -1 (+.f64 beta (*.f64 -1 beta))) (*.f64 -1 (+.f64 beta (*.f64 2 i))))))) alpha)) (/.f64 (*.f64 (+.f64 beta (*.f64 2 i)) (-.f64 (*.f64 -1 (pow.f64 beta 2)) (*.f64 -1 (*.f64 (+.f64 beta (*.f64 2 i)) (-.f64 (*.f64 -1 (+.f64 beta (*.f64 -1 beta))) (*.f64 -1 (+.f64 beta (*.f64 2 i)))))))) (pow.f64 alpha 2))))) (*.f64 -1 (+.f64 beta (*.f64 2 i))))
(*.f64 -1 (/.f64 (pow.f64 alpha 2) (+.f64 alpha (*.f64 2 i))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (+.f64 alpha (*.f64 2 i)))) (*.f64 beta (-.f64 (+.f64 (*.f64 -1 (/.f64 alpha (+.f64 alpha (*.f64 2 i)))) (/.f64 alpha (+.f64 alpha (*.f64 2 i)))) (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 alpha (*.f64 2 i)) 2))))))
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(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (+.f64 alpha (*.f64 2 i)))) (+.f64 (*.f64 beta (-.f64 (+.f64 (*.f64 -1 (/.f64 alpha (+.f64 alpha (*.f64 2 i)))) (/.f64 alpha (+.f64 alpha (*.f64 2 i)))) (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 alpha (*.f64 2 i)) 2))))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 alpha (*.f64 2 i)) 3))) (/.f64 1 (+.f64 alpha (*.f64 2 i)))) (+.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha (*.f64 2 i)) 2))) (/.f64 alpha (pow.f64 (+.f64 alpha (*.f64 2 i)) 2))))) (*.f64 (pow.f64 beta 3) (-.f64 (+.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha (*.f64 2 i)) 3))) (/.f64 alpha (pow.f64 (+.f64 alpha (*.f64 2 i)) 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 alpha (*.f64 2 i)) 4))) (/.f64 1 (pow.f64 (+.f64 alpha (*.f64 2 i)) 2))))))))
beta
(-.f64 (+.f64 beta (*.f64 -1 alpha)) (*.f64 2 i))
(-.f64 (+.f64 beta (+.f64 (*.f64 -1 alpha) (*.f64 -1 (/.f64 (pow.f64 alpha 2) beta)))) (+.f64 (*.f64 2 i) (/.f64 (*.f64 (+.f64 alpha (*.f64 2 i)) (-.f64 (*.f64 -1 alpha) (*.f64 2 i))) beta)))
(-.f64 (+.f64 beta (+.f64 (*.f64 -1 alpha) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 alpha (*.f64 2 i)) (-.f64 (*.f64 -1 (pow.f64 alpha 2)) (*.f64 (+.f64 alpha (*.f64 2 i)) (-.f64 (*.f64 -1 alpha) (*.f64 2 i))))) (pow.f64 beta 2))) (*.f64 -1 (/.f64 (pow.f64 alpha 2) beta))))) (+.f64 (*.f64 2 i) (/.f64 (*.f64 (+.f64 alpha (*.f64 2 i)) (-.f64 (*.f64 -1 alpha) (*.f64 2 i))) beta)))
beta
(+.f64 beta (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 alpha (*.f64 -1 alpha))) (*.f64 -1 (+.f64 alpha (*.f64 2 i))))))
(-.f64 (+.f64 beta (+.f64 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 alpha (*.f64 -1 alpha))) (*.f64 -1 (+.f64 alpha (*.f64 2 i))))) (*.f64 -1 (/.f64 (pow.f64 alpha 2) beta)))) (*.f64 -1 (/.f64 (*.f64 (+.f64 alpha (*.f64 2 i)) (-.f64 (*.f64 -1 (+.f64 alpha (*.f64 -1 alpha))) (*.f64 -1 (+.f64 alpha (*.f64 2 i))))) beta)))
(-.f64 (+.f64 beta (+.f64 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 alpha (*.f64 -1 alpha))) (*.f64 -1 (+.f64 alpha (*.f64 2 i))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 alpha (*.f64 2 i)) (-.f64 (*.f64 -1 (pow.f64 alpha 2)) (*.f64 -1 (*.f64 (+.f64 alpha (*.f64 2 i)) (-.f64 (*.f64 -1 (+.f64 alpha (*.f64 -1 alpha))) (*.f64 -1 (+.f64 alpha (*.f64 2 i)))))))) (pow.f64 beta 2))) (*.f64 -1 (/.f64 (pow.f64 alpha 2) beta))))) (*.f64 -1 (/.f64 (*.f64 (+.f64 alpha (*.f64 2 i)) (-.f64 (*.f64 -1 (+.f64 alpha (*.f64 -1 alpha))) (*.f64 -1 (+.f64 alpha (*.f64 2 i))))) beta)))
(-.f64 beta alpha)
(-.f64 (+.f64 beta (*.f64 -2 (/.f64 (*.f64 i (-.f64 beta alpha)) (+.f64 alpha beta)))) alpha)
(-.f64 (+.f64 beta (+.f64 (*.f64 -2 (/.f64 (*.f64 i (-.f64 beta alpha)) (+.f64 alpha beta))) (*.f64 4 (/.f64 (*.f64 (pow.f64 i 2) (-.f64 beta alpha)) (pow.f64 (+.f64 alpha beta) 2))))) alpha)
(-.f64 (+.f64 beta (+.f64 (*.f64 -8 (/.f64 (*.f64 (pow.f64 i 3) (-.f64 beta alpha)) (pow.f64 (+.f64 alpha beta) 3))) (+.f64 (*.f64 -2 (/.f64 (*.f64 i (-.f64 beta alpha)) (+.f64 alpha beta))) (*.f64 4 (/.f64 (*.f64 (pow.f64 i 2) (-.f64 beta alpha)) (pow.f64 (+.f64 alpha beta) 2)))))) alpha)
(*.f64 1/2 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) i))
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(*.f64 1/2 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) i))
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(+.f64 1 (/.f64 (pow.f64 beta 2) (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i)))))
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(/.f64 (-.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (*.f64 -1 (+.f64 beta (*.f64 2 i)))) alpha)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 i)) (+.f64 2 (+.f64 beta (*.f64 2 i)))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 i)) (-.f64 beta (*.f64 -1 (+.f64 beta (*.f64 2 i))))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta (*.f64 2 i)) (-.f64 beta (*.f64 -1 (+.f64 beta (*.f64 2 i))))) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 i alpha)) (+.f64 (*.f64 2 (/.f64 1 alpha)) (/.f64 beta alpha)))))) (*.f64 -1 (/.f64 (+.f64 beta (*.f64 2 i)) alpha)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 i)) (+.f64 2 (+.f64 beta (*.f64 2 i)))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 i)) (-.f64 beta (*.f64 -1 (+.f64 beta (*.f64 2 i))))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta (*.f64 2 i)) (-.f64 beta (*.f64 -1 (+.f64 beta (*.f64 2 i))))) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 i alpha)) (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (*.f64 (+.f64 2 (*.f64 2 i)) (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (-.f64 beta (*.f64 -1 (+.f64 beta (*.f64 2 i)))))) (pow.f64 alpha 3)) (+.f64 (/.f64 (*.f64 (+.f64 2 (*.f64 2 i)) (*.f64 (+.f64 beta (*.f64 2 i)) (-.f64 beta (*.f64 -1 (+.f64 beta (*.f64 2 i)))))) (pow.f64 alpha 3)) (+.f64 (/.f64 (*.f64 (+.f64 2 (*.f64 2 i)) (pow.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) 2)) (pow.f64 alpha 3)) (/.f64 (*.f64 (pow.f64 (+.f64 beta (*.f64 2 i)) 2) (-.f64 beta (*.f64 -1 (+.f64 beta (*.f64 2 i))))) (pow.f64 alpha 3))))))))))) (*.f64 -1 (/.f64 (+.f64 beta (*.f64 2 i)) alpha)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 i)) (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (*.f64 (+.f64 beta (*.f64 2 i)) (-.f64 beta (*.f64 -1 (+.f64 beta (*.f64 2 i))))))) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 i)) (*.f64 (pow.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) 2) (-.f64 beta (*.f64 -1 (+.f64 beta (*.f64 2 i)))))) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 i)) (*.f64 (pow.f64 (+.f64 beta (*.f64 2 i)) 2) (-.f64 beta (*.f64 -1 (+.f64 beta (*.f64 2 i)))))) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 i)) (+.f64 2 (+.f64 beta (*.f64 2 i)))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 i)) (-.f64 beta (*.f64 -1 (+.f64 beta (*.f64 2 i))))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 i)) (pow.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) 3)) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta (*.f64 2 i)) (-.f64 beta (*.f64 -1 (+.f64 beta (*.f64 2 i))))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 beta (*.f64 2 i)) 3) (-.f64 beta (*.f64 -1 (+.f64 beta (*.f64 2 i))))) (pow.f64 alpha 4))) (+.f64 (*.f64 2 (/.f64 i alpha)) (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (*.f64 (+.f64 2 (*.f64 2 i)) (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (-.f64 beta (*.f64 -1 (+.f64 beta (*.f64 2 i)))))) (pow.f64 alpha 3)) (+.f64 (/.f64 (*.f64 (+.f64 2 (*.f64 2 i)) (*.f64 (+.f64 beta (*.f64 2 i)) (-.f64 beta (*.f64 -1 (+.f64 beta (*.f64 2 i)))))) (pow.f64 alpha 3)) (+.f64 (/.f64 (*.f64 (+.f64 2 (*.f64 2 i)) (pow.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) 2)) (pow.f64 alpha 3)) (/.f64 (*.f64 (pow.f64 (+.f64 beta (*.f64 2 i)) 2) (-.f64 beta (*.f64 -1 (+.f64 beta (*.f64 2 i))))) (pow.f64 alpha 3)))))))))))))))) (*.f64 -1 (/.f64 (+.f64 beta (*.f64 2 i)) alpha)))
(*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (-.f64 (*.f64 -1 beta) (*.f64 -1 (+.f64 2 (+.f64 beta (*.f64 2 i))))))) (+.f64 beta (*.f64 2 i))) alpha))
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2
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1
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1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 i)) alpha)))
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1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (*.f64 -1 (+.f64 2 (+.f64 beta (*.f64 2 i))))) alpha)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (*.f64 -1 (+.f64 2 (+.f64 beta (*.f64 2 i))))) alpha)) (/.f64 (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (-.f64 (*.f64 -1 beta) (*.f64 -1 (+.f64 2 (+.f64 beta (*.f64 2 i)))))) (pow.f64 alpha 2))))
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(/.f64 alpha (+.f64 2 (+.f64 alpha (*.f64 2 i))))
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1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 i)) beta)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 i)) beta)) (/.f64 (*.f64 (+.f64 2 (*.f64 2 i)) (+.f64 2 (+.f64 alpha (*.f64 2 i)))) (pow.f64 beta 2))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 i)) (pow.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) 2)) (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 i)) beta)) (/.f64 (*.f64 (+.f64 2 (*.f64 2 i)) (+.f64 2 (+.f64 alpha (*.f64 2 i)))) (pow.f64 beta 2)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 alpha) (*.f64 -1 (+.f64 2 (+.f64 alpha (*.f64 2 i))))) beta)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 alpha) (*.f64 -1 (+.f64 2 (+.f64 alpha (*.f64 2 i))))) beta)) (/.f64 (*.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) (-.f64 (*.f64 -1 alpha) (*.f64 -1 (+.f64 2 (+.f64 alpha (*.f64 2 i)))))) (pow.f64 beta 2))))
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(/.f64 (+.f64 alpha beta) (+.f64 2 (+.f64 alpha beta)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 i (+.f64 alpha beta)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2))) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) (/.f64 beta (+.f64 2 (+.f64 alpha beta)))))
(+.f64 (*.f64 -2 (/.f64 (*.f64 i (+.f64 alpha beta)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2))) (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 i 2) (+.f64 alpha beta)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 3))) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))))
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(*.f64 1/2 (/.f64 (+.f64 alpha beta) i))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 alpha beta)) (pow.f64 i 2))) (*.f64 1/2 (/.f64 (+.f64 alpha beta) i)))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 alpha beta)) (pow.f64 i 2))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 alpha beta)) (pow.f64 i 3))) (*.f64 1/2 (/.f64 (+.f64 alpha beta) i))))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 alpha beta)) (pow.f64 i 2))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 3) (+.f64 alpha beta)) (pow.f64 i 4))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 alpha beta)) (pow.f64 i 3))) (*.f64 1/2 (/.f64 (+.f64 alpha beta) i)))))
(*.f64 1/2 (/.f64 (+.f64 alpha beta) i))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 alpha beta)) (pow.f64 i 2))) (*.f64 1/2 (/.f64 (+.f64 alpha beta) i)))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 alpha beta)) (pow.f64 i 2))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 alpha beta)) (pow.f64 i 3))) (*.f64 1/2 (/.f64 (+.f64 alpha beta) i))))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 alpha beta)) (pow.f64 i 2))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 3) (+.f64 alpha beta)) (pow.f64 i 4))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 alpha beta)) (pow.f64 i 3))) (*.f64 1/2 (/.f64 (+.f64 alpha beta) i)))))
(*.f64 -1 (/.f64 alpha (+.f64 alpha (*.f64 2 i))))
(+.f64 (*.f64 -1 (/.f64 alpha (+.f64 alpha (*.f64 2 i)))) (*.f64 beta (-.f64 (/.f64 1 (+.f64 alpha (*.f64 2 i))) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha (*.f64 2 i)) 2))))))
(+.f64 (*.f64 -1 (/.f64 alpha (+.f64 alpha (*.f64 2 i)))) (+.f64 (*.f64 beta (-.f64 (/.f64 1 (+.f64 alpha (*.f64 2 i))) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha (*.f64 2 i)) 2))))) (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha (*.f64 2 i)) 3))) (/.f64 1 (pow.f64 (+.f64 alpha (*.f64 2 i)) 2))))))
(+.f64 (*.f64 -1 (/.f64 alpha (+.f64 alpha (*.f64 2 i)))) (+.f64 (*.f64 beta (-.f64 (/.f64 1 (+.f64 alpha (*.f64 2 i))) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha (*.f64 2 i)) 2))))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha (*.f64 2 i)) 3))) (/.f64 1 (pow.f64 (+.f64 alpha (*.f64 2 i)) 2)))) (*.f64 (pow.f64 beta 3) (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha (*.f64 2 i)) 3)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha (*.f64 2 i)) 4))))))))
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha beta))) (+.f64 (*.f64 2 (/.f64 i beta)) (/.f64 alpha beta)))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (*.f64 -1 (/.f64 (*.f64 (+.f64 alpha (*.f64 2 i)) (-.f64 (*.f64 -1 alpha) (+.f64 alpha (*.f64 2 i)))) (pow.f64 beta 2))))) (+.f64 (*.f64 2 (/.f64 i beta)) (/.f64 alpha beta)))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 alpha (*.f64 2 i)) (-.f64 (*.f64 -1 alpha) (+.f64 alpha (*.f64 2 i)))) (pow.f64 beta 2))) (/.f64 (*.f64 (pow.f64 (+.f64 alpha (*.f64 2 i)) 2) (-.f64 (*.f64 -1 alpha) (+.f64 alpha (*.f64 2 i)))) (pow.f64 beta 3))))) (+.f64 (*.f64 2 (/.f64 i beta)) (/.f64 alpha beta)))
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha beta))) (+.f64 (*.f64 2 (/.f64 i beta)) (/.f64 alpha beta)))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (*.f64 -1 (/.f64 (*.f64 (+.f64 alpha (*.f64 2 i)) (-.f64 (*.f64 -1 alpha) (+.f64 alpha (*.f64 2 i)))) (pow.f64 beta 2))))) (+.f64 (*.f64 2 (/.f64 i beta)) (/.f64 alpha beta)))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 alpha (*.f64 2 i)) (-.f64 (*.f64 -1 alpha) (+.f64 alpha (*.f64 2 i)))) (pow.f64 beta 2))) (/.f64 (*.f64 (pow.f64 (+.f64 alpha (*.f64 2 i)) 2) (-.f64 (*.f64 -1 alpha) (+.f64 alpha (*.f64 2 i)))) (pow.f64 beta 3))))) (+.f64 (*.f64 2 (/.f64 i beta)) (/.f64 alpha beta)))
(/.f64 beta (+.f64 beta (*.f64 2 i)))
(+.f64 (*.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 beta (*.f64 2 i))) (/.f64 beta (pow.f64 (+.f64 beta (*.f64 2 i)) 2))))) (/.f64 beta (+.f64 beta (*.f64 2 i))))
(+.f64 (*.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 beta (*.f64 2 i))) (/.f64 beta (pow.f64 (+.f64 beta (*.f64 2 i)) 2))))) (+.f64 (/.f64 beta (+.f64 beta (*.f64 2 i))) (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 (/.f64 1 (+.f64 beta (*.f64 2 i))) (/.f64 beta (pow.f64 (+.f64 beta (*.f64 2 i)) 2)))) (+.f64 beta (*.f64 2 i)))))
(+.f64 (*.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 beta (*.f64 2 i))) (/.f64 beta (pow.f64 (+.f64 beta (*.f64 2 i)) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta (*.f64 2 i)) 3)) (/.f64 beta (pow.f64 (+.f64 beta (*.f64 2 i)) 4))))) (+.f64 (/.f64 beta (+.f64 beta (*.f64 2 i))) (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 (/.f64 1 (+.f64 beta (*.f64 2 i))) (/.f64 beta (pow.f64 (+.f64 beta (*.f64 2 i)) 2)))) (+.f64 beta (*.f64 2 i))))))
-1
(-.f64 (/.f64 beta alpha) (+.f64 1 (*.f64 -1 (/.f64 (+.f64 beta (*.f64 2 i)) alpha))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta (*.f64 2 i)) (-.f64 beta (*.f64 -1 (+.f64 beta (*.f64 2 i))))) (pow.f64 alpha 2))) (/.f64 beta alpha)) (+.f64 1 (*.f64 -1 (/.f64 (+.f64 beta (*.f64 2 i)) alpha))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta (*.f64 2 i)) (-.f64 beta (*.f64 -1 (+.f64 beta (*.f64 2 i))))) (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 (pow.f64 (+.f64 beta (*.f64 2 i)) 2) (-.f64 beta (*.f64 -1 (+.f64 beta (*.f64 2 i))))) (pow.f64 alpha 3)))) (+.f64 1 (*.f64 -1 (/.f64 (+.f64 beta (*.f64 2 i)) alpha))))
-1
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta (*.f64 2 i))) alpha)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta (*.f64 2 i))) alpha)) (/.f64 (*.f64 (+.f64 beta (*.f64 2 i)) (-.f64 (*.f64 -1 beta) (+.f64 beta (*.f64 2 i)))) (pow.f64 alpha 2))) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 beta (*.f64 2 i)) 2) (-.f64 (*.f64 -1 beta) (+.f64 beta (*.f64 2 i)))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta (*.f64 2 i))) alpha)) (/.f64 (*.f64 (+.f64 beta (*.f64 2 i)) (-.f64 (*.f64 -1 beta) (+.f64 beta (*.f64 2 i)))) (pow.f64 alpha 2)))) 1)
(/.f64 (-.f64 beta alpha) (+.f64 alpha beta))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 i (-.f64 beta alpha)) (pow.f64 (+.f64 alpha beta) 2))) (/.f64 beta (+.f64 alpha beta))) (/.f64 alpha (+.f64 alpha beta)))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 i (-.f64 beta alpha)) (pow.f64 (+.f64 alpha beta) 2))) (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 i 2) (-.f64 beta alpha)) (pow.f64 (+.f64 alpha beta) 3))) (/.f64 beta (+.f64 alpha beta)))) (/.f64 alpha (+.f64 alpha beta)))
(-.f64 (+.f64 (*.f64 -8 (/.f64 (*.f64 (pow.f64 i 3) (-.f64 beta alpha)) (pow.f64 (+.f64 alpha beta) 4))) (+.f64 (*.f64 -2 (/.f64 (*.f64 i (-.f64 beta alpha)) (pow.f64 (+.f64 alpha beta) 2))) (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 i 2) (-.f64 beta alpha)) (pow.f64 (+.f64 alpha beta) 3))) (/.f64 beta (+.f64 alpha beta))))) (/.f64 alpha (+.f64 alpha beta)))
(*.f64 1/2 (/.f64 (-.f64 beta alpha) i))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (pow.f64 i 2))) (*.f64 1/2 (/.f64 (-.f64 beta alpha) i)))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (pow.f64 i 2))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 beta alpha)) (pow.f64 i 3))) (*.f64 1/2 (/.f64 (-.f64 beta alpha) i))))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (pow.f64 i 2))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 (+.f64 alpha beta) 3) (-.f64 beta alpha)) (pow.f64 i 4))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 beta alpha)) (pow.f64 i 3))) (*.f64 1/2 (/.f64 (-.f64 beta alpha) i)))))
(*.f64 1/2 (/.f64 (-.f64 beta alpha) i))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (pow.f64 i 2))) (*.f64 1/2 (/.f64 (-.f64 beta alpha) i)))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (pow.f64 i 2))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 beta alpha)) (pow.f64 i 3))) (*.f64 1/2 (/.f64 (-.f64 beta alpha) i))))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (pow.f64 i 2))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 (+.f64 alpha beta) 3) (-.f64 beta alpha)) (pow.f64 i 4))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 beta alpha)) (pow.f64 i 3))) (*.f64 1/2 (/.f64 (-.f64 beta alpha) i)))))
(+.f64 2 (+.f64 beta (*.f64 2 i)))
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
alpha
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
alpha
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
(+.f64 2 (+.f64 alpha (*.f64 2 i)))
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
beta
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
beta
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
(+.f64 2 (+.f64 alpha beta))
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
(*.f64 2 i)
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
(*.f64 2 i)
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) 1))) 1)
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(/.f64 (+.f64 (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 beta 3)) (fma.f64 2 i -2)) (*.f64 (fma.f64 alpha alpha (-.f64 (pow.f64 beta 2) (*.f64 alpha beta))) (-.f64 (pow.f64 (*.f64 2 i) 2) 4))) (*.f64 (fma.f64 alpha alpha (-.f64 (pow.f64 beta 2) (*.f64 alpha beta))) (fma.f64 2 i -2)))
(/.f64 (+.f64 (*.f64 (-.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (+.f64 (pow.f64 (*.f64 2 i) 2) (-.f64 4 (*.f64 (*.f64 2 i) 2)))) (*.f64 (-.f64 alpha beta) (+.f64 (pow.f64 (*.f64 2 i) 3) 8))) (*.f64 (-.f64 alpha beta) (+.f64 (pow.f64 (*.f64 2 i) 2) (-.f64 4 (*.f64 (*.f64 2 i) 2)))))
(/.f64 (+.f64 (*.f64 (-.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (fma.f64 2 i -2)) (*.f64 (-.f64 alpha beta) (-.f64 (pow.f64 (*.f64 2 i) 2) 4))) (*.f64 (-.f64 alpha beta) (fma.f64 2 i -2)))
(/.f64 (+.f64 (*.f64 (+.f64 (pow.f64 (*.f64 2 i) 3) 8) (fma.f64 alpha alpha (-.f64 (pow.f64 beta 2) (*.f64 alpha beta)))) (*.f64 (+.f64 (pow.f64 (*.f64 2 i) 2) (-.f64 4 (*.f64 (*.f64 2 i) 2))) (+.f64 (pow.f64 alpha 3) (pow.f64 beta 3)))) (*.f64 (+.f64 (pow.f64 (*.f64 2 i) 2) (-.f64 4 (*.f64 (*.f64 2 i) 2))) (fma.f64 alpha alpha (-.f64 (pow.f64 beta 2) (*.f64 alpha beta)))))
(/.f64 (+.f64 (*.f64 (+.f64 (pow.f64 (*.f64 2 i) 3) 8) (-.f64 alpha beta)) (*.f64 (+.f64 (pow.f64 (*.f64 2 i) 2) (-.f64 4 (*.f64 (*.f64 2 i) 2))) (-.f64 (pow.f64 alpha 2) (pow.f64 beta 2)))) (*.f64 (+.f64 (pow.f64 (*.f64 2 i) 2) (-.f64 4 (*.f64 (*.f64 2 i) 2))) (-.f64 alpha beta)))
(/.f64 (+.f64 (*.f64 (-.f64 (pow.f64 (*.f64 2 i) 2) 4) (fma.f64 alpha alpha (-.f64 (pow.f64 beta 2) (*.f64 alpha beta)))) (*.f64 (fma.f64 2 i -2) (+.f64 (pow.f64 alpha 3) (pow.f64 beta 3)))) (*.f64 (fma.f64 2 i -2) (fma.f64 alpha alpha (-.f64 (pow.f64 beta 2) (*.f64 alpha beta)))))
(/.f64 (+.f64 (*.f64 (-.f64 (pow.f64 (*.f64 2 i) 2) 4) (-.f64 alpha beta)) (*.f64 (fma.f64 2 i -2) (-.f64 (pow.f64 alpha 2) (pow.f64 beta 2)))) (*.f64 (fma.f64 2 i -2) (-.f64 alpha beta)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 3) (pow.f64 (fma.f64 2 i 2) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 (pow.f64 (fma.f64 2 i 2) 2) (*.f64 (+.f64 alpha beta) (fma.f64 2 i 2))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta (fma.f64 2 i 2)) 3))) (neg.f64 (fma.f64 alpha alpha (-.f64 (pow.f64 (+.f64 beta (fma.f64 2 i 2)) 2) (*.f64 alpha (+.f64 beta (fma.f64 2 i 2)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 alpha beta) 2) (pow.f64 (fma.f64 2 i 2) 2))) (neg.f64 (-.f64 (+.f64 alpha beta) (fma.f64 2 i 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta (fma.f64 2 i 2)) 2))) (neg.f64 (-.f64 alpha (+.f64 beta (fma.f64 2 i 2)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 2 i 2) 3) (pow.f64 (+.f64 alpha beta) 3)) (+.f64 (pow.f64 (fma.f64 2 i 2) 2) (-.f64 (pow.f64 (+.f64 alpha beta) 2) (*.f64 (fma.f64 2 i 2) (+.f64 alpha beta)))))
(/.f64 (+.f64 (pow.f64 (+.f64 alpha (fma.f64 2 i beta)) 3) 8) (+.f64 (pow.f64 (+.f64 alpha (fma.f64 2 i beta)) 2) (-.f64 4 (*.f64 (+.f64 alpha (fma.f64 2 i beta)) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 beta (fma.f64 2 i 2)) 3) (pow.f64 alpha 3)) (+.f64 (pow.f64 (+.f64 beta (fma.f64 2 i 2)) 2) (-.f64 (pow.f64 alpha 2) (*.f64 (+.f64 beta (fma.f64 2 i 2)) alpha))))
(pow.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) 1)
(pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) 3)
(pow.f64 (pow.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) 2)
(sqrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) 2))
(log.f64 (exp.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))))
(cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) 3))
(expm1.f64 (log1p.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))))
(exp.f64 (log.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))))
(exp.f64 (*.f64 (log.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) 1))
(log1p.f64 (expm1.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))))
(fma.f64 1 alpha (+.f64 beta (fma.f64 2 i 2)))
(fma.f64 1 (+.f64 alpha beta) (fma.f64 2 i 2))
(fma.f64 1 (fma.f64 2 i 2) (+.f64 alpha beta))
(fma.f64 1 (+.f64 alpha (fma.f64 2 i beta)) 2)
(fma.f64 1 (+.f64 beta (fma.f64 2 i 2)) alpha)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 2 i 2)) 2) (cbrt.f64 (fma.f64 2 i 2)) (+.f64 alpha beta))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 alpha beta)) 2) (cbrt.f64 (+.f64 alpha beta)) (fma.f64 2 i 2))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (fma.f64 2 i beta))) 2) (cbrt.f64 (+.f64 alpha (fma.f64 2 i beta))) 2)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 beta (fma.f64 2 i 2))) 2) (cbrt.f64 (+.f64 beta (fma.f64 2 i 2))) alpha)
(fma.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 alpha) (+.f64 beta (fma.f64 2 i 2)))
(fma.f64 (sqrt.f64 (fma.f64 2 i 2)) (sqrt.f64 (fma.f64 2 i 2)) (+.f64 alpha beta))
(fma.f64 (sqrt.f64 (+.f64 alpha beta)) (sqrt.f64 (+.f64 alpha beta)) (fma.f64 2 i 2))
(fma.f64 (sqrt.f64 (+.f64 alpha (fma.f64 2 i beta))) (sqrt.f64 (+.f64 alpha (fma.f64 2 i beta))) 2)
(fma.f64 (sqrt.f64 (+.f64 beta (fma.f64 2 i 2))) (sqrt.f64 (+.f64 beta (fma.f64 2 i 2))) alpha)
(fma.f64 (sqrt.f64 alpha) (sqrt.f64 alpha) (+.f64 beta (fma.f64 2 i 2)))
Outputs
(+.f64 1 (/.f64 (pow.f64 beta 2) (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i)))))
(+.f64 1 (/.f64 (pow.f64 beta 2) (*.f64 (fma.f64 2 i beta) (+.f64 2 (fma.f64 2 i beta)))))
(+.f64 1 (+.f64 (*.f64 alpha (-.f64 (+.f64 (*.f64 -1 (/.f64 beta (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i))))) (/.f64 beta (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i))))) (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i)))) (*.f64 (pow.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) 2) (pow.f64 (+.f64 beta (*.f64 2 i)) 2))))) (/.f64 (pow.f64 beta 2) (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i))))))
(+.f64 1 (fma.f64 alpha (-.f64 (*.f64 0 (/.f64 (/.f64 beta (+.f64 2 (fma.f64 2 i beta))) (fma.f64 2 i beta))) (*.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 (fma.f64 2 i beta)) 2)) (/.f64 (+.f64 2 (fma.f64 2 beta (*.f64 i 4))) (pow.f64 (fma.f64 2 i beta) 2)))) (/.f64 (pow.f64 beta 2) (*.f64 (fma.f64 2 i beta) (+.f64 2 (fma.f64 2 i beta))))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 2) (+.f64 (/.f64 1 (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i)))) (+.f64 (/.f64 (*.f64 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))) (-.f64 (+.f64 (*.f64 -1 (/.f64 beta (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i))))) (/.f64 beta (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i))))) (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i)))) (*.f64 (pow.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) 2) (pow.f64 (+.f64 beta (*.f64 2 i)) 2))))) (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i)))) (/.f64 (pow.f64 beta 2) (*.f64 (pow.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) 2) (pow.f64 (+.f64 beta (*.f64 2 i)) 2))))))) (+.f64 (*.f64 alpha (-.f64 (+.f64 (*.f64 -1 (/.f64 beta (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i))))) (/.f64 beta (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i))))) (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i)))) (*.f64 (pow.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) 2) (pow.f64 (+.f64 beta (*.f64 2 i)) 2))))) (/.f64 (pow.f64 beta 2) (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i)))))))
(+.f64 1 (fma.f64 -1 (*.f64 (pow.f64 alpha 2) (+.f64 (/.f64 1 (*.f64 (fma.f64 2 i beta) (+.f64 2 (fma.f64 2 i beta)))) (+.f64 (*.f64 (/.f64 (+.f64 2 (fma.f64 2 beta (*.f64 i 4))) (+.f64 2 (fma.f64 2 i beta))) (/.f64 (-.f64 (*.f64 0 (/.f64 (/.f64 beta (+.f64 2 (fma.f64 2 i beta))) (fma.f64 2 i beta))) (*.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 (fma.f64 2 i beta)) 2)) (/.f64 (+.f64 2 (fma.f64 2 beta (*.f64 i 4))) (pow.f64 (fma.f64 2 i beta) 2)))) (fma.f64 2 i beta))) (/.f64 (pow.f64 beta 2) (*.f64 (pow.f64 (+.f64 2 (fma.f64 2 i beta)) 2) (pow.f64 (fma.f64 2 i beta) 2)))))) (fma.f64 alpha (-.f64 (*.f64 0 (/.f64 (/.f64 beta (+.f64 2 (fma.f64 2 i beta))) (fma.f64 2 i beta))) (*.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 (fma.f64 2 i beta)) 2)) (/.f64 (+.f64 2 (fma.f64 2 beta (*.f64 i 4))) (pow.f64 (fma.f64 2 i beta) 2)))) (/.f64 (pow.f64 beta 2) (*.f64 (fma.f64 2 i beta) (+.f64 2 (fma.f64 2 i beta)))))))
(+.f64 1 (-.f64 (fma.f64 alpha (-.f64 (*.f64 0 (/.f64 (/.f64 beta (+.f64 2 (fma.f64 2 i beta))) (fma.f64 2 i beta))) (*.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 (fma.f64 2 i beta)) 2)) (/.f64 (+.f64 2 (fma.f64 2 beta (*.f64 i 4))) (pow.f64 (fma.f64 2 i beta) 2)))) (/.f64 (pow.f64 beta 2) (*.f64 (fma.f64 2 i beta) (+.f64 2 (fma.f64 2 i beta))))) (*.f64 (pow.f64 alpha 2) (+.f64 (/.f64 1 (*.f64 (fma.f64 2 i beta) (+.f64 2 (fma.f64 2 i beta)))) (+.f64 (*.f64 (/.f64 (+.f64 2 (fma.f64 2 beta (*.f64 i 4))) (+.f64 2 (fma.f64 2 i beta))) (/.f64 (-.f64 (*.f64 0 (/.f64 (/.f64 beta (+.f64 2 (fma.f64 2 i beta))) (fma.f64 2 i beta))) (*.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 (fma.f64 2 i beta)) 2)) (/.f64 (+.f64 2 (fma.f64 2 beta (*.f64 i 4))) (pow.f64 (fma.f64 2 i beta) 2)))) (fma.f64 2 i beta))) (/.f64 (pow.f64 beta 2) (*.f64 (pow.f64 (+.f64 2 (fma.f64 2 i beta)) 2) (pow.f64 (fma.f64 2 i beta) 2))))))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 2) (+.f64 (/.f64 1 (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i)))) (+.f64 (/.f64 (*.f64 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))) (-.f64 (+.f64 (*.f64 -1 (/.f64 beta (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i))))) (/.f64 beta (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i))))) (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i)))) (*.f64 (pow.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) 2) (pow.f64 (+.f64 beta (*.f64 2 i)) 2))))) (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i)))) (/.f64 (pow.f64 beta 2) (*.f64 (pow.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) 2) (pow.f64 (+.f64 beta (*.f64 2 i)) 2))))))) (+.f64 (*.f64 alpha (-.f64 (+.f64 (*.f64 -1 (/.f64 beta (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i))))) (/.f64 beta (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i))))) (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i)))) (*.f64 (pow.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) 2) (pow.f64 (+.f64 beta (*.f64 2 i)) 2))))) (+.f64 (*.f64 (pow.f64 alpha 3) (-.f64 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i)))) (*.f64 (pow.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) 3) (pow.f64 (+.f64 beta (*.f64 2 i)) 3))) (+.f64 (*.f64 -1 (/.f64 beta (*.f64 (pow.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) 2) (pow.f64 (+.f64 beta (*.f64 2 i)) 2)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))) (+.f64 (/.f64 1 (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i)))) (+.f64 (/.f64 (*.f64 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))) (-.f64 (+.f64 (*.f64 -1 (/.f64 beta (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i))))) (/.f64 beta (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i))))) (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i)))) (*.f64 (pow.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) 2) (pow.f64 (+.f64 beta (*.f64 2 i)) 2))))) (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i)))) (/.f64 (pow.f64 beta 2) (*.f64 (pow.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) 2) (pow.f64 (+.f64 beta (*.f64 2 i)) 2)))))) (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i))))) (/.f64 beta (*.f64 (pow.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) 2) (pow.f64 (+.f64 beta (*.f64 2 i)) 2))))))) (/.f64 (pow.f64 beta 2) (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i))))))))
(+.f64 1 (fma.f64 -1 (*.f64 (pow.f64 alpha 2) (+.f64 (/.f64 1 (*.f64 (fma.f64 2 i beta) (+.f64 2 (fma.f64 2 i beta)))) (+.f64 (*.f64 (/.f64 (+.f64 2 (fma.f64 2 beta (*.f64 i 4))) (+.f64 2 (fma.f64 2 i beta))) (/.f64 (-.f64 (*.f64 0 (/.f64 (/.f64 beta (+.f64 2 (fma.f64 2 i beta))) (fma.f64 2 i beta))) (*.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 (fma.f64 2 i beta)) 2)) (/.f64 (+.f64 2 (fma.f64 2 beta (*.f64 i 4))) (pow.f64 (fma.f64 2 i beta) 2)))) (fma.f64 2 i beta))) (/.f64 (pow.f64 beta 2) (*.f64 (pow.f64 (+.f64 2 (fma.f64 2 i beta)) 2) (pow.f64 (fma.f64 2 i beta) 2)))))) (fma.f64 alpha (-.f64 (*.f64 0 (/.f64 (/.f64 beta (+.f64 2 (fma.f64 2 i beta))) (fma.f64 2 i beta))) (*.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 (fma.f64 2 i beta)) 2)) (/.f64 (+.f64 2 (fma.f64 2 beta (*.f64 i 4))) (pow.f64 (fma.f64 2 i beta) 2)))) (fma.f64 (pow.f64 alpha 3) (-.f64 (/.f64 (pow.f64 beta 2) (/.f64 (*.f64 (pow.f64 (+.f64 2 (fma.f64 2 i beta)) 3) (pow.f64 (fma.f64 2 i beta) 3)) (+.f64 2 (fma.f64 2 beta (*.f64 i 4))))) (fma.f64 -1 (/.f64 beta (*.f64 (pow.f64 (+.f64 2 (fma.f64 2 i beta)) 2) (pow.f64 (fma.f64 2 i beta) 2))) (fma.f64 -1 (/.f64 (+.f64 2 (fma.f64 2 beta (*.f64 i 4))) (/.f64 (*.f64 (fma.f64 2 i beta) (+.f64 2 (fma.f64 2 i beta))) (+.f64 (/.f64 1 (*.f64 (fma.f64 2 i beta) (+.f64 2 (fma.f64 2 i beta)))) (+.f64 (*.f64 (/.f64 (+.f64 2 (fma.f64 2 beta (*.f64 i 4))) (+.f64 2 (fma.f64 2 i beta))) (/.f64 (-.f64 (*.f64 0 (/.f64 (/.f64 beta (+.f64 2 (fma.f64 2 i beta))) (fma.f64 2 i beta))) (*.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 (fma.f64 2 i beta)) 2)) (/.f64 (+.f64 2 (fma.f64 2 beta (*.f64 i 4))) (pow.f64 (fma.f64 2 i beta) 2)))) (fma.f64 2 i beta))) (/.f64 (pow.f64 beta 2) (*.f64 (pow.f64 (+.f64 2 (fma.f64 2 i beta)) 2) (pow.f64 (fma.f64 2 i beta) 2))))))) (/.f64 beta (*.f64 (pow.f64 (+.f64 2 (fma.f64 2 i beta)) 2) (pow.f64 (fma.f64 2 i beta) 2)))))) (/.f64 (pow.f64 beta 2) (*.f64 (fma.f64 2 i beta) (+.f64 2 (fma.f64 2 i beta))))))))
(+.f64 (-.f64 1 (*.f64 (pow.f64 alpha 2) (+.f64 (/.f64 1 (*.f64 (fma.f64 2 i beta) (+.f64 2 (fma.f64 2 i beta)))) (+.f64 (*.f64 (/.f64 (+.f64 2 (fma.f64 2 beta (*.f64 i 4))) (+.f64 2 (fma.f64 2 i beta))) (/.f64 (-.f64 (*.f64 0 (/.f64 (/.f64 beta (+.f64 2 (fma.f64 2 i beta))) (fma.f64 2 i beta))) (*.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 (fma.f64 2 i beta)) 2)) (/.f64 (+.f64 2 (fma.f64 2 beta (*.f64 i 4))) (pow.f64 (fma.f64 2 i beta) 2)))) (fma.f64 2 i beta))) (/.f64 (pow.f64 beta 2) (*.f64 (pow.f64 (+.f64 2 (fma.f64 2 i beta)) 2) (pow.f64 (fma.f64 2 i beta) 2))))))) (fma.f64 alpha (-.f64 (*.f64 0 (/.f64 (/.f64 beta (+.f64 2 (fma.f64 2 i beta))) (fma.f64 2 i beta))) (*.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 (fma.f64 2 i beta)) 2)) (/.f64 (+.f64 2 (fma.f64 2 beta (*.f64 i 4))) (pow.f64 (fma.f64 2 i beta) 2)))) (fma.f64 (pow.f64 alpha 3) (-.f64 (/.f64 (pow.f64 beta 2) (/.f64 (*.f64 (pow.f64 (+.f64 2 (fma.f64 2 i beta)) 3) (pow.f64 (fma.f64 2 i beta) 3)) (+.f64 2 (fma.f64 2 beta (*.f64 i 4))))) (-.f64 (-.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 2 (fma.f64 2 i beta)) 2) (pow.f64 (fma.f64 2 i beta) 2))) (/.f64 (+.f64 2 (fma.f64 2 beta (*.f64 i 4))) (/.f64 (*.f64 (fma.f64 2 i beta) (+.f64 2 (fma.f64 2 i beta))) (+.f64 (/.f64 1 (*.f64 (fma.f64 2 i beta) (+.f64 2 (fma.f64 2 i beta)))) (+.f64 (*.f64 (/.f64 (+.f64 2 (fma.f64 2 beta (*.f64 i 4))) (+.f64 2 (fma.f64 2 i beta))) (/.f64 (-.f64 (*.f64 0 (/.f64 (/.f64 beta (+.f64 2 (fma.f64 2 i beta))) (fma.f64 2 i beta))) (*.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 (fma.f64 2 i beta)) 2)) (/.f64 (+.f64 2 (fma.f64 2 beta (*.f64 i 4))) (pow.f64 (fma.f64 2 i beta) 2)))) (fma.f64 2 i beta))) (/.f64 (pow.f64 beta 2) (*.f64 (pow.f64 (+.f64 2 (fma.f64 2 i beta)) 2) (pow.f64 (fma.f64 2 i beta) 2)))))))) (/.f64 beta (*.f64 (pow.f64 (+.f64 2 (fma.f64 2 i beta)) 2) (pow.f64 (fma.f64 2 i beta) 2))))) (/.f64 (pow.f64 beta 2) (*.f64 (fma.f64 2 i beta) (+.f64 2 (fma.f64 2 i beta)))))))
(/.f64 (-.f64 (+.f64 beta (*.f64 -1 beta)) (*.f64 -1 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))))) alpha)
(/.f64 (-.f64 (*.f64 0 beta) (neg.f64 (+.f64 2 (fma.f64 2 beta (*.f64 i 4))))) alpha)
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1
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-1
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-1
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1
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-1
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-1
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(/.f64 (pow.f64 beta 2) (fma.f64 2 i beta))
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(fma.f64 alpha (-.f64 (*.f64 0 (/.f64 beta (fma.f64 2 i beta))) (/.f64 (pow.f64 beta 2) (pow.f64 (fma.f64 2 i beta) 2))) (/.f64 (pow.f64 beta 2) (fma.f64 2 i beta)))
(+.f64 (*.f64 alpha (-.f64 (+.f64 (*.f64 -1 (/.f64 beta (+.f64 beta (*.f64 2 i)))) (/.f64 beta (+.f64 beta (*.f64 2 i)))) (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta (*.f64 2 i)) 2)))) (+.f64 (*.f64 (pow.f64 alpha 2) (-.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta (*.f64 2 i)) 3)) (+.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta (*.f64 2 i)) 2))) (+.f64 (/.f64 1 (+.f64 beta (*.f64 2 i))) (/.f64 beta (pow.f64 (+.f64 beta (*.f64 2 i)) 2)))))) (/.f64 (pow.f64 beta 2) (+.f64 beta (*.f64 2 i)))))
(fma.f64 alpha (-.f64 (*.f64 0 (/.f64 beta (fma.f64 2 i beta))) (/.f64 (pow.f64 beta 2) (pow.f64 (fma.f64 2 i beta) 2))) (fma.f64 (pow.f64 alpha 2) (-.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (fma.f64 2 i beta) 3)) (fma.f64 -1 (/.f64 beta (pow.f64 (fma.f64 2 i beta) 2)) (+.f64 (/.f64 1 (fma.f64 2 i beta)) (/.f64 beta (pow.f64 (fma.f64 2 i beta) 2))))) (/.f64 (pow.f64 beta 2) (fma.f64 2 i beta))))
(fma.f64 alpha (-.f64 (*.f64 0 (/.f64 beta (fma.f64 2 i beta))) (/.f64 (pow.f64 beta 2) (pow.f64 (fma.f64 2 i beta) 2))) (fma.f64 (pow.f64 alpha 2) (-.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (fma.f64 2 i beta) 3)) (-.f64 (+.f64 (/.f64 1 (fma.f64 2 i beta)) (/.f64 beta (pow.f64 (fma.f64 2 i beta) 2))) (/.f64 beta (pow.f64 (fma.f64 2 i beta) 2)))) (/.f64 (pow.f64 beta 2) (fma.f64 2 i beta))))
(+.f64 (*.f64 alpha (-.f64 (+.f64 (*.f64 -1 (/.f64 beta (+.f64 beta (*.f64 2 i)))) (/.f64 beta (+.f64 beta (*.f64 2 i)))) (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta (*.f64 2 i)) 2)))) (+.f64 (*.f64 (pow.f64 alpha 2) (-.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta (*.f64 2 i)) 3)) (+.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta (*.f64 2 i)) 2))) (+.f64 (/.f64 1 (+.f64 beta (*.f64 2 i))) (/.f64 beta (pow.f64 (+.f64 beta (*.f64 2 i)) 2)))))) (+.f64 (*.f64 (pow.f64 alpha 3) (-.f64 (+.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta (*.f64 2 i)) 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta (*.f64 2 i)) 2)) (/.f64 beta (pow.f64 (+.f64 beta (*.f64 2 i)) 3)))) (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta (*.f64 2 i)) 4)))) (/.f64 (pow.f64 beta 2) (+.f64 beta (*.f64 2 i))))))
(fma.f64 alpha (-.f64 (*.f64 0 (/.f64 beta (fma.f64 2 i beta))) (/.f64 (pow.f64 beta 2) (pow.f64 (fma.f64 2 i beta) 2))) (fma.f64 (pow.f64 alpha 2) (-.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (fma.f64 2 i beta) 3)) (fma.f64 -1 (/.f64 beta (pow.f64 (fma.f64 2 i beta) 2)) (+.f64 (/.f64 1 (fma.f64 2 i beta)) (/.f64 beta (pow.f64 (fma.f64 2 i beta) 2))))) (fma.f64 (pow.f64 alpha 3) (-.f64 (fma.f64 -1 (/.f64 beta (pow.f64 (fma.f64 2 i beta) 3)) (+.f64 (/.f64 beta (pow.f64 (fma.f64 2 i beta) 3)) (/.f64 1 (pow.f64 (fma.f64 2 i beta) 2)))) (/.f64 (pow.f64 beta 2) (pow.f64 (fma.f64 2 i beta) 4))) (/.f64 (pow.f64 beta 2) (fma.f64 2 i beta)))))
(fma.f64 alpha (-.f64 (*.f64 0 (/.f64 beta (fma.f64 2 i beta))) (/.f64 (pow.f64 beta 2) (pow.f64 (fma.f64 2 i beta) 2))) (fma.f64 (pow.f64 alpha 2) (-.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (fma.f64 2 i beta) 3)) (-.f64 (+.f64 (/.f64 1 (fma.f64 2 i beta)) (/.f64 beta (pow.f64 (fma.f64 2 i beta) 2))) (/.f64 beta (pow.f64 (fma.f64 2 i beta) 2)))) (fma.f64 (pow.f64 alpha 3) (-.f64 (-.f64 (+.f64 (/.f64 beta (pow.f64 (fma.f64 2 i beta) 3)) (/.f64 1 (pow.f64 (fma.f64 2 i beta) 2))) (/.f64 beta (pow.f64 (fma.f64 2 i beta) 3))) (/.f64 (pow.f64 beta 2) (pow.f64 (fma.f64 2 i beta) 4))) (/.f64 (pow.f64 beta 2) (fma.f64 2 i beta)))))
(*.f64 -1 alpha)
(neg.f64 alpha)
(-.f64 (+.f64 beta (+.f64 (*.f64 -1 alpha) (*.f64 -1 beta))) (*.f64 -1 (+.f64 beta (*.f64 2 i))))
(-.f64 (+.f64 (-.f64 beta alpha) (neg.f64 beta)) (neg.f64 (fma.f64 2 i beta)))
(-.f64 (-.f64 beta (+.f64 beta alpha)) (neg.f64 (fma.f64 2 i beta)))
(-.f64 (+.f64 beta (+.f64 (*.f64 -1 alpha) (+.f64 (*.f64 -1 beta) (/.f64 (pow.f64 beta 2) alpha)))) (+.f64 (*.f64 -1 (+.f64 beta (*.f64 2 i))) (/.f64 (*.f64 (+.f64 beta (*.f64 2 i)) (-.f64 (+.f64 beta (*.f64 -1 beta)) (*.f64 -1 (+.f64 beta (*.f64 2 i))))) alpha)))
(-.f64 (+.f64 (-.f64 beta alpha) (fma.f64 -1 beta (/.f64 (pow.f64 beta 2) alpha))) (fma.f64 -1 (fma.f64 2 i beta) (/.f64 (fma.f64 2 i beta) (/.f64 alpha (-.f64 (*.f64 0 beta) (neg.f64 (fma.f64 2 i beta)))))))
(-.f64 (+.f64 (-.f64 beta alpha) (-.f64 (/.f64 (pow.f64 beta 2) alpha) beta)) (-.f64 (/.f64 (fma.f64 2 i beta) (/.f64 alpha (-.f64 (*.f64 0 beta) (neg.f64 (fma.f64 2 i beta))))) (fma.f64 2 i beta)))
(-.f64 (+.f64 beta (+.f64 (*.f64 -1 alpha) (+.f64 (*.f64 -1 beta) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta (*.f64 2 i)) (-.f64 (pow.f64 beta 2) (*.f64 (+.f64 beta (*.f64 2 i)) (-.f64 (+.f64 beta (*.f64 -1 beta)) (*.f64 -1 (+.f64 beta (*.f64 2 i))))))) (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) alpha))))) (+.f64 (*.f64 -1 (+.f64 beta (*.f64 2 i))) (/.f64 (*.f64 (+.f64 beta (*.f64 2 i)) (-.f64 (+.f64 beta (*.f64 -1 beta)) (*.f64 -1 (+.f64 beta (*.f64 2 i))))) alpha)))
(-.f64 (+.f64 (-.f64 beta alpha) (fma.f64 -1 beta (fma.f64 -1 (/.f64 (fma.f64 2 i beta) (/.f64 (pow.f64 alpha 2) (-.f64 (pow.f64 beta 2) (*.f64 (fma.f64 2 i beta) (-.f64 (*.f64 0 beta) (neg.f64 (fma.f64 2 i beta))))))) (/.f64 (pow.f64 beta 2) alpha)))) (fma.f64 -1 (fma.f64 2 i beta) (/.f64 (fma.f64 2 i beta) (/.f64 alpha (-.f64 (*.f64 0 beta) (neg.f64 (fma.f64 2 i beta)))))))
(-.f64 (+.f64 (-.f64 beta alpha) (-.f64 (-.f64 (/.f64 (pow.f64 beta 2) alpha) (/.f64 (fma.f64 2 i beta) (/.f64 (pow.f64 alpha 2) (-.f64 (pow.f64 beta 2) (*.f64 (fma.f64 2 i beta) (-.f64 (*.f64 0 beta) (neg.f64 (fma.f64 2 i beta)))))))) beta)) (-.f64 (/.f64 (fma.f64 2 i beta) (/.f64 alpha (-.f64 (*.f64 0 beta) (neg.f64 (fma.f64 2 i beta))))) (fma.f64 2 i beta)))
(*.f64 -1 alpha)
(neg.f64 alpha)
(-.f64 (+.f64 (*.f64 -1 alpha) (*.f64 -1 (+.f64 beta (*.f64 -1 beta)))) (*.f64 -1 (+.f64 beta (*.f64 2 i))))
(+.f64 (neg.f64 alpha) (*.f64 -1 (-.f64 (*.f64 0 beta) (fma.f64 2 i beta))))
(-.f64 (-.f64 (neg.f64 alpha) (*.f64 0 beta)) (neg.f64 (fma.f64 2 i beta)))
(-.f64 (+.f64 (*.f64 -1 alpha) (+.f64 (*.f64 -1 (+.f64 beta (*.f64 -1 beta))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (pow.f64 beta 2)) (*.f64 -1 (*.f64 (+.f64 beta (*.f64 2 i)) (-.f64 (*.f64 -1 (+.f64 beta (*.f64 -1 beta))) (*.f64 -1 (+.f64 beta (*.f64 2 i))))))) alpha)))) (*.f64 -1 (+.f64 beta (*.f64 2 i))))
(-.f64 (fma.f64 -1 alpha (*.f64 -1 (+.f64 (*.f64 0 beta) (/.f64 (*.f64 -1 (-.f64 (pow.f64 beta 2) (*.f64 (fma.f64 2 i beta) (*.f64 -1 (-.f64 (*.f64 0 beta) (fma.f64 2 i beta)))))) alpha)))) (neg.f64 (fma.f64 2 i beta)))
(-.f64 (-.f64 (-.f64 (neg.f64 alpha) (*.f64 0 beta)) (/.f64 (*.f64 -1 (-.f64 (pow.f64 beta 2) (*.f64 (fma.f64 2 i beta) (*.f64 -1 (-.f64 (*.f64 0 beta) (fma.f64 2 i beta)))))) alpha)) (neg.f64 (fma.f64 2 i beta)))
(-.f64 (+.f64 (*.f64 -1 alpha) (+.f64 (*.f64 -1 (+.f64 beta (*.f64 -1 beta))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (pow.f64 beta 2)) (*.f64 -1 (*.f64 (+.f64 beta (*.f64 2 i)) (-.f64 (*.f64 -1 (+.f64 beta (*.f64 -1 beta))) (*.f64 -1 (+.f64 beta (*.f64 2 i))))))) alpha)) (/.f64 (*.f64 (+.f64 beta (*.f64 2 i)) (-.f64 (*.f64 -1 (pow.f64 beta 2)) (*.f64 -1 (*.f64 (+.f64 beta (*.f64 2 i)) (-.f64 (*.f64 -1 (+.f64 beta (*.f64 -1 beta))) (*.f64 -1 (+.f64 beta (*.f64 2 i)))))))) (pow.f64 alpha 2))))) (*.f64 -1 (+.f64 beta (*.f64 2 i))))
(-.f64 (fma.f64 -1 alpha (fma.f64 -1 (*.f64 0 beta) (fma.f64 -1 (/.f64 (*.f64 -1 (-.f64 (pow.f64 beta 2) (*.f64 (fma.f64 2 i beta) (*.f64 -1 (-.f64 (*.f64 0 beta) (fma.f64 2 i beta)))))) alpha) (/.f64 (fma.f64 2 i beta) (/.f64 (pow.f64 alpha 2) (*.f64 -1 (-.f64 (pow.f64 beta 2) (*.f64 (fma.f64 2 i beta) (*.f64 -1 (-.f64 (*.f64 0 beta) (fma.f64 2 i beta))))))))))) (neg.f64 (fma.f64 2 i beta)))
(-.f64 (-.f64 (-.f64 (-.f64 (/.f64 (fma.f64 2 i beta) (/.f64 (pow.f64 alpha 2) (*.f64 -1 (-.f64 (pow.f64 beta 2) (*.f64 (fma.f64 2 i beta) (*.f64 -1 (-.f64 (*.f64 0 beta) (fma.f64 2 i beta)))))))) (/.f64 (*.f64 -1 (-.f64 (pow.f64 beta 2) (*.f64 (fma.f64 2 i beta) (*.f64 -1 (-.f64 (*.f64 0 beta) (fma.f64 2 i beta)))))) alpha)) (*.f64 0 beta)) alpha) (neg.f64 (fma.f64 2 i beta)))
(*.f64 -1 (/.f64 (pow.f64 alpha 2) (+.f64 alpha (*.f64 2 i))))
(/.f64 (neg.f64 (pow.f64 alpha 2)) (+.f64 (*.f64 2 i) alpha))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (+.f64 alpha (*.f64 2 i)))) (*.f64 beta (-.f64 (+.f64 (*.f64 -1 (/.f64 alpha (+.f64 alpha (*.f64 2 i)))) (/.f64 alpha (+.f64 alpha (*.f64 2 i)))) (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 alpha (*.f64 2 i)) 2))))))
(fma.f64 -1 (/.f64 (pow.f64 alpha 2) (+.f64 (*.f64 2 i) alpha)) (*.f64 beta (-.f64 (*.f64 0 (/.f64 alpha (+.f64 (*.f64 2 i) alpha))) (/.f64 (neg.f64 (pow.f64 alpha 2)) (pow.f64 (+.f64 (*.f64 2 i) alpha) 2)))))
(-.f64 (*.f64 beta (fma.f64 0 (/.f64 alpha (+.f64 (*.f64 2 i) alpha)) (neg.f64 (/.f64 (neg.f64 (pow.f64 alpha 2)) (pow.f64 (+.f64 (*.f64 2 i) alpha) 2))))) (/.f64 (pow.f64 alpha 2) (+.f64 (*.f64 2 i) alpha)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (+.f64 alpha (*.f64 2 i)))) (+.f64 (*.f64 beta (-.f64 (+.f64 (*.f64 -1 (/.f64 alpha (+.f64 alpha (*.f64 2 i)))) (/.f64 alpha (+.f64 alpha (*.f64 2 i)))) (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 alpha (*.f64 2 i)) 2))))) (*.f64 (pow.f64 beta 2) (-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 alpha (*.f64 2 i)) 3))) (/.f64 1 (+.f64 alpha (*.f64 2 i)))) (+.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha (*.f64 2 i)) 2))) (/.f64 alpha (pow.f64 (+.f64 alpha (*.f64 2 i)) 2)))))))
(fma.f64 -1 (/.f64 (pow.f64 alpha 2) (+.f64 (*.f64 2 i) alpha)) (fma.f64 beta (-.f64 (*.f64 0 (/.f64 alpha (+.f64 (*.f64 2 i) alpha))) (/.f64 (neg.f64 (pow.f64 alpha 2)) (pow.f64 (+.f64 (*.f64 2 i) alpha) 2))) (*.f64 (pow.f64 beta 2) (-.f64 (fma.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 (*.f64 2 i) alpha) 3)) (/.f64 1 (+.f64 (*.f64 2 i) alpha))) (*.f64 0 (/.f64 alpha (pow.f64 (+.f64 (*.f64 2 i) alpha) 2)))))))
(-.f64 (fma.f64 beta (fma.f64 0 (/.f64 alpha (+.f64 (*.f64 2 i) alpha)) (neg.f64 (/.f64 (neg.f64 (pow.f64 alpha 2)) (pow.f64 (+.f64 (*.f64 2 i) alpha) 2)))) (*.f64 (pow.f64 beta 2) (-.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 2 i) alpha)) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 (*.f64 2 i) alpha) 3))) (*.f64 0 (/.f64 alpha (pow.f64 (+.f64 (*.f64 2 i) alpha) 2)))))) (/.f64 (pow.f64 alpha 2) (+.f64 (*.f64 2 i) alpha)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (+.f64 alpha (*.f64 2 i)))) (+.f64 (*.f64 beta (-.f64 (+.f64 (*.f64 -1 (/.f64 alpha (+.f64 alpha (*.f64 2 i)))) (/.f64 alpha (+.f64 alpha (*.f64 2 i)))) (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 alpha (*.f64 2 i)) 2))))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 alpha (*.f64 2 i)) 3))) (/.f64 1 (+.f64 alpha (*.f64 2 i)))) (+.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha (*.f64 2 i)) 2))) (/.f64 alpha (pow.f64 (+.f64 alpha (*.f64 2 i)) 2))))) (*.f64 (pow.f64 beta 3) (-.f64 (+.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha (*.f64 2 i)) 3))) (/.f64 alpha (pow.f64 (+.f64 alpha (*.f64 2 i)) 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 alpha (*.f64 2 i)) 4))) (/.f64 1 (pow.f64 (+.f64 alpha (*.f64 2 i)) 2))))))))
(fma.f64 -1 (/.f64 (pow.f64 alpha 2) (+.f64 (*.f64 2 i) alpha)) (fma.f64 beta (-.f64 (*.f64 0 (/.f64 alpha (+.f64 (*.f64 2 i) alpha))) (/.f64 (neg.f64 (pow.f64 alpha 2)) (pow.f64 (+.f64 (*.f64 2 i) alpha) 2))) (fma.f64 (pow.f64 beta 2) (-.f64 (fma.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 (*.f64 2 i) alpha) 3)) (/.f64 1 (+.f64 (*.f64 2 i) alpha))) (*.f64 0 (/.f64 alpha (pow.f64 (+.f64 (*.f64 2 i) alpha) 2)))) (*.f64 (pow.f64 beta 3) (-.f64 (*.f64 0 (/.f64 alpha (pow.f64 (+.f64 (*.f64 2 i) alpha) 3))) (fma.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 (*.f64 2 i) alpha) 4)) (/.f64 1 (pow.f64 (+.f64 (*.f64 2 i) alpha) 2))))))))
(-.f64 (fma.f64 beta (fma.f64 0 (/.f64 alpha (+.f64 (*.f64 2 i) alpha)) (neg.f64 (/.f64 (neg.f64 (pow.f64 alpha 2)) (pow.f64 (+.f64 (*.f64 2 i) alpha) 2)))) (fma.f64 (pow.f64 beta 2) (-.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 2 i) alpha)) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 (*.f64 2 i) alpha) 3))) (*.f64 0 (/.f64 alpha (pow.f64 (+.f64 (*.f64 2 i) alpha) 2)))) (*.f64 (pow.f64 beta 3) (-.f64 (*.f64 0 (/.f64 alpha (pow.f64 (+.f64 (*.f64 2 i) alpha) 3))) (-.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 2 i) alpha) 2)) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 (*.f64 2 i) alpha) 4))))))) (/.f64 (pow.f64 alpha 2) (+.f64 (*.f64 2 i) alpha)))
beta
(-.f64 (+.f64 beta (*.f64 -1 alpha)) (*.f64 2 i))
(+.f64 (-.f64 beta alpha) (*.f64 -2 i))
(-.f64 (+.f64 beta (+.f64 (*.f64 -1 alpha) (*.f64 -1 (/.f64 (pow.f64 alpha 2) beta)))) (+.f64 (*.f64 2 i) (/.f64 (*.f64 (+.f64 alpha (*.f64 2 i)) (-.f64 (*.f64 -1 alpha) (*.f64 2 i))) beta)))
(-.f64 (+.f64 (-.f64 beta alpha) (/.f64 (neg.f64 (pow.f64 alpha 2)) beta)) (fma.f64 2 i (/.f64 (+.f64 (*.f64 2 i) alpha) (/.f64 beta (+.f64 (neg.f64 alpha) (*.f64 -2 i))))))
(-.f64 (-.f64 (-.f64 beta alpha) (/.f64 (pow.f64 alpha 2) beta)) (fma.f64 2 i (/.f64 (+.f64 (*.f64 2 i) alpha) (/.f64 beta (+.f64 (neg.f64 alpha) (*.f64 -2 i))))))
(-.f64 (+.f64 beta (+.f64 (*.f64 -1 alpha) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 alpha (*.f64 2 i)) (-.f64 (*.f64 -1 (pow.f64 alpha 2)) (*.f64 (+.f64 alpha (*.f64 2 i)) (-.f64 (*.f64 -1 alpha) (*.f64 2 i))))) (pow.f64 beta 2))) (*.f64 -1 (/.f64 (pow.f64 alpha 2) beta))))) (+.f64 (*.f64 2 i) (/.f64 (*.f64 (+.f64 alpha (*.f64 2 i)) (-.f64 (*.f64 -1 alpha) (*.f64 2 i))) beta)))
(-.f64 (+.f64 (-.f64 beta alpha) (fma.f64 -1 (/.f64 (+.f64 (*.f64 2 i) alpha) (/.f64 (pow.f64 beta 2) (-.f64 (neg.f64 (pow.f64 alpha 2)) (*.f64 (+.f64 (*.f64 2 i) alpha) (+.f64 (neg.f64 alpha) (*.f64 -2 i)))))) (/.f64 (neg.f64 (pow.f64 alpha 2)) beta))) (fma.f64 2 i (/.f64 (+.f64 (*.f64 2 i) alpha) (/.f64 beta (+.f64 (neg.f64 alpha) (*.f64 -2 i))))))
(-.f64 (+.f64 (-.f64 beta alpha) (-.f64 (/.f64 (neg.f64 (pow.f64 alpha 2)) beta) (/.f64 (+.f64 (*.f64 2 i) alpha) (/.f64 (pow.f64 beta 2) (-.f64 (neg.f64 (pow.f64 alpha 2)) (*.f64 (+.f64 (*.f64 2 i) alpha) (+.f64 (neg.f64 alpha) (*.f64 -2 i)))))))) (fma.f64 2 i (/.f64 (+.f64 (*.f64 2 i) alpha) (/.f64 beta (+.f64 (neg.f64 alpha) (*.f64 -2 i))))))
beta
(+.f64 beta (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 alpha (*.f64 -1 alpha))) (*.f64 -1 (+.f64 alpha (*.f64 2 i))))))
(+.f64 beta (neg.f64 (*.f64 -1 (-.f64 (*.f64 0 alpha) (+.f64 (*.f64 2 i) alpha)))))
(-.f64 beta (*.f64 -1 (-.f64 (*.f64 0 alpha) (+.f64 (*.f64 2 i) alpha))))
(-.f64 (+.f64 beta (+.f64 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 alpha (*.f64 -1 alpha))) (*.f64 -1 (+.f64 alpha (*.f64 2 i))))) (*.f64 -1 (/.f64 (pow.f64 alpha 2) beta)))) (*.f64 -1 (/.f64 (*.f64 (+.f64 alpha (*.f64 2 i)) (-.f64 (*.f64 -1 (+.f64 alpha (*.f64 -1 alpha))) (*.f64 -1 (+.f64 alpha (*.f64 2 i))))) beta)))
(+.f64 beta (-.f64 (*.f64 -1 (+.f64 (*.f64 -1 (-.f64 (*.f64 0 alpha) (+.f64 (*.f64 2 i) alpha))) (/.f64 (pow.f64 alpha 2) beta))) (/.f64 (*.f64 (neg.f64 (+.f64 (*.f64 2 i) alpha)) (*.f64 -1 (-.f64 (*.f64 0 alpha) (+.f64 (*.f64 2 i) alpha)))) beta)))
(-.f64 (-.f64 (-.f64 beta (*.f64 -1 (-.f64 (*.f64 0 alpha) (+.f64 (*.f64 2 i) alpha)))) (/.f64 (pow.f64 alpha 2) beta)) (/.f64 (*.f64 (neg.f64 (+.f64 (*.f64 2 i) alpha)) (*.f64 -1 (-.f64 (*.f64 0 alpha) (+.f64 (*.f64 2 i) alpha)))) beta))
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2
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2
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1
(+.f64 1 (*.f64 1/4 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (pow.f64 i 2))))
(+.f64 1 (*.f64 1/4 (/.f64 (+.f64 beta alpha) (/.f64 (pow.f64 i 2) (-.f64 beta alpha)))))
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1
(+.f64 1 (*.f64 1/4 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (pow.f64 i 2))))
(+.f64 1 (*.f64 1/4 (/.f64 (+.f64 beta alpha) (/.f64 (pow.f64 i 2) (-.f64 beta alpha)))))
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(/.f64 beta (+.f64 2 (+.f64 beta (*.f64 2 i))))
(/.f64 beta (+.f64 2 (fma.f64 2 i beta)))
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1
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(-.f64 1 (/.f64 (fma.f64 2 i 2) alpha))
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1
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1
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1
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1
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1
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(/.f64 beta (+.f64 beta (*.f64 2 i)))
(/.f64 beta (fma.f64 2 i beta))
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-1
(-.f64 (/.f64 beta alpha) (+.f64 1 (*.f64 -1 (/.f64 (+.f64 beta (*.f64 2 i)) alpha))))
(-.f64 (-.f64 (/.f64 beta alpha) 1) (/.f64 (neg.f64 (fma.f64 2 i beta)) alpha))
(-.f64 (/.f64 beta alpha) (-.f64 1 (/.f64 (fma.f64 2 i beta) alpha)))
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(-.f64 (+.f64 (-.f64 (/.f64 beta alpha) (/.f64 (fma.f64 2 i beta) (/.f64 (pow.f64 alpha 2) (-.f64 beta (neg.f64 (fma.f64 2 i beta)))))) (/.f64 (pow.f64 (fma.f64 2 i beta) 2) (/.f64 (pow.f64 alpha 3) (-.f64 beta (neg.f64 (fma.f64 2 i beta)))))) (-.f64 1 (/.f64 (fma.f64 2 i beta) alpha)))
-1
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta (*.f64 2 i))) alpha)) 1)
(fma.f64 -1 (/.f64 (-.f64 (neg.f64 beta) (fma.f64 2 i beta)) alpha) -1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta (*.f64 2 i))) alpha)) (/.f64 (*.f64 (+.f64 beta (*.f64 2 i)) (-.f64 (*.f64 -1 beta) (+.f64 beta (*.f64 2 i)))) (pow.f64 alpha 2))) 1)
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(/.f64 (-.f64 beta alpha) (+.f64 alpha beta))
(/.f64 (-.f64 beta alpha) (+.f64 beta alpha))
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(*.f64 1/2 (/.f64 (-.f64 beta alpha) i))
(/.f64 (*.f64 1/2 (-.f64 beta alpha)) i)
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(fma.f64 -1/4 (/.f64 (+.f64 beta alpha) (/.f64 (pow.f64 i 2) (-.f64 beta alpha))) (/.f64 (*.f64 1/2 (-.f64 beta alpha)) i))
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(fma.f64 -1/4 (/.f64 (+.f64 beta alpha) (/.f64 (pow.f64 i 2) (-.f64 beta alpha))) (fma.f64 -1/16 (/.f64 (pow.f64 (+.f64 beta alpha) 3) (/.f64 (pow.f64 i 4) (-.f64 beta alpha))) (fma.f64 1/8 (/.f64 (pow.f64 (+.f64 beta alpha) 2) (/.f64 (pow.f64 i 3) (-.f64 beta alpha))) (/.f64 (*.f64 1/2 (-.f64 beta alpha)) i))))
(*.f64 1/2 (/.f64 (-.f64 beta alpha) i))
(/.f64 (*.f64 1/2 (-.f64 beta alpha)) i)
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (pow.f64 i 2))) (*.f64 1/2 (/.f64 (-.f64 beta alpha) i)))
(fma.f64 -1/4 (/.f64 (+.f64 beta alpha) (/.f64 (pow.f64 i 2) (-.f64 beta alpha))) (/.f64 (*.f64 1/2 (-.f64 beta alpha)) i))
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(fma.f64 -1/4 (/.f64 (+.f64 beta alpha) (/.f64 (pow.f64 i 2) (-.f64 beta alpha))) (fma.f64 -1/16 (/.f64 (pow.f64 (+.f64 beta alpha) 3) (/.f64 (pow.f64 i 4) (-.f64 beta alpha))) (fma.f64 1/8 (/.f64 (pow.f64 (+.f64 beta alpha) 2) (/.f64 (pow.f64 i 3) (-.f64 beta alpha))) (/.f64 (*.f64 1/2 (-.f64 beta alpha)) i))))
(+.f64 2 (+.f64 beta (*.f64 2 i)))
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(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
(+.f64 (+.f64 2 alpha) (fma.f64 2 i beta))
alpha
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
(+.f64 (+.f64 2 alpha) (fma.f64 2 i beta))
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
(+.f64 (+.f64 2 alpha) (fma.f64 2 i beta))
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
(+.f64 (+.f64 2 alpha) (fma.f64 2 i beta))
alpha
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
(+.f64 (+.f64 2 alpha) (fma.f64 2 i beta))
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
(+.f64 (+.f64 2 alpha) (fma.f64 2 i beta))
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
(+.f64 (+.f64 2 alpha) (fma.f64 2 i beta))
(+.f64 2 (+.f64 alpha (*.f64 2 i)))
(+.f64 (+.f64 2 alpha) (*.f64 2 i))
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
(+.f64 (+.f64 2 alpha) (fma.f64 2 i beta))
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
(+.f64 (+.f64 2 alpha) (fma.f64 2 i beta))
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
(+.f64 (+.f64 2 alpha) (fma.f64 2 i beta))
beta
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
(+.f64 (+.f64 2 alpha) (fma.f64 2 i beta))
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
(+.f64 (+.f64 2 alpha) (fma.f64 2 i beta))
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
(+.f64 (+.f64 2 alpha) (fma.f64 2 i beta))
beta
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
(+.f64 (+.f64 2 alpha) (fma.f64 2 i beta))
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
(+.f64 (+.f64 2 alpha) (fma.f64 2 i beta))
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
(+.f64 (+.f64 2 alpha) (fma.f64 2 i beta))
(+.f64 2 (+.f64 alpha beta))
(+.f64 2 (+.f64 beta alpha))
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
(+.f64 (+.f64 2 alpha) (fma.f64 2 i beta))
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
(+.f64 (+.f64 2 alpha) (fma.f64 2 i beta))
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
(+.f64 (+.f64 2 alpha) (fma.f64 2 i beta))
(*.f64 2 i)
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
(+.f64 (+.f64 2 alpha) (fma.f64 2 i beta))
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
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(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 3) (pow.f64 (fma.f64 2 i 2) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 (pow.f64 (fma.f64 2 i 2) 2) (*.f64 (+.f64 alpha beta) (fma.f64 2 i 2))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 3) (pow.f64 (fma.f64 2 i 2) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 (pow.f64 (fma.f64 2 i 2) 2) (*.f64 (+.f64 beta alpha) (fma.f64 2 i 2))))))
(/.f64 (-.f64 (neg.f64 (pow.f64 (+.f64 beta alpha) 3)) (pow.f64 (fma.f64 2 i 2) 3)) (-.f64 (neg.f64 (pow.f64 (+.f64 beta alpha) 2)) (-.f64 (pow.f64 (fma.f64 2 i 2) 2) (*.f64 (+.f64 beta alpha) (fma.f64 2 i 2)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta (fma.f64 2 i 2)) 3))) (neg.f64 (fma.f64 alpha alpha (-.f64 (pow.f64 (+.f64 beta (fma.f64 2 i 2)) 2) (*.f64 alpha (+.f64 beta (fma.f64 2 i 2)))))))
(/.f64 (-.f64 (neg.f64 (pow.f64 alpha 3)) (pow.f64 (+.f64 beta (fma.f64 2 i 2)) 3)) (neg.f64 (fma.f64 alpha alpha (-.f64 (pow.f64 (+.f64 beta (fma.f64 2 i 2)) 2) (*.f64 alpha (+.f64 beta (fma.f64 2 i 2)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 alpha beta) 2) (pow.f64 (fma.f64 2 i 2) 2))) (neg.f64 (-.f64 (+.f64 alpha beta) (fma.f64 2 i 2))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 2 i 2) 2)) (neg.f64 (-.f64 (+.f64 beta alpha) (fma.f64 2 i 2)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta (fma.f64 2 i 2)) 2))) (neg.f64 (-.f64 alpha (+.f64 beta (fma.f64 2 i 2)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta (fma.f64 2 i 2)) 2))) (neg.f64 (-.f64 (-.f64 alpha beta) (fma.f64 2 i 2))))
(/.f64 (+.f64 (pow.f64 (fma.f64 2 i 2) 3) (pow.f64 (+.f64 alpha beta) 3)) (+.f64 (pow.f64 (fma.f64 2 i 2) 2) (-.f64 (pow.f64 (+.f64 alpha beta) 2) (*.f64 (fma.f64 2 i 2) (+.f64 alpha beta)))))
(/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 3) (pow.f64 (fma.f64 2 i 2) 3)) (-.f64 (+.f64 (pow.f64 (fma.f64 2 i 2) 2) (pow.f64 (+.f64 beta alpha) 2)) (*.f64 (+.f64 beta alpha) (fma.f64 2 i 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 alpha (fma.f64 2 i beta)) 3) 8) (+.f64 (pow.f64 (+.f64 alpha (fma.f64 2 i beta)) 2) (-.f64 4 (*.f64 (+.f64 alpha (fma.f64 2 i beta)) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 (fma.f64 2 i beta) alpha) 3) 8) (+.f64 (pow.f64 (+.f64 (fma.f64 2 i beta) alpha) 2) (-.f64 4 (*.f64 2 (+.f64 (fma.f64 2 i beta) alpha)))))
(/.f64 (+.f64 (pow.f64 (+.f64 beta (fma.f64 2 i 2)) 3) (pow.f64 alpha 3)) (+.f64 (pow.f64 (+.f64 beta (fma.f64 2 i 2)) 2) (-.f64 (pow.f64 alpha 2) (*.f64 (+.f64 beta (fma.f64 2 i 2)) alpha))))
(/.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta (fma.f64 2 i 2)) 3)) (+.f64 (pow.f64 (+.f64 beta (fma.f64 2 i 2)) 2) (-.f64 (pow.f64 alpha 2) (*.f64 alpha (+.f64 beta (fma.f64 2 i 2))))))
(pow.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) 1)
(+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))
(pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) 3)
(+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))
(pow.f64 (pow.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) 3) 1/3)
(+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))
(pow.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) 2)
(+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))
(sqrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) 2))
(sqrt.f64 (pow.f64 (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2)) 2))
(fabs.f64 (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2)))
(log.f64 (exp.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))))
(+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))))
(+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))
(cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) 3))
(+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))
(expm1.f64 (log1p.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))))
(+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))
(exp.f64 (log.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))))
(+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))
(exp.f64 (*.f64 (log.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) 1))
(+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))
(log1p.f64 (expm1.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))))
(+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))
(fma.f64 1 alpha (+.f64 beta (fma.f64 2 i 2)))
(fma.f64 1 (+.f64 alpha beta) (fma.f64 2 i 2))
(+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))
(fma.f64 1 (fma.f64 2 i 2) (+.f64 alpha beta))
(fma.f64 1 (fma.f64 2 i 2) (+.f64 beta alpha))
(fma.f64 1 (+.f64 alpha (fma.f64 2 i beta)) 2)
(fma.f64 1 (+.f64 (fma.f64 2 i beta) alpha) 2)
(fma.f64 1 (+.f64 beta (fma.f64 2 i 2)) alpha)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 2 i 2)) 2) (cbrt.f64 (fma.f64 2 i 2)) (+.f64 alpha beta))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 2 i 2)) 2) (cbrt.f64 (fma.f64 2 i 2)) (+.f64 beta alpha))
(+.f64 (fma.f64 2 i 2) (+.f64 beta alpha))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 alpha beta)) 2) (cbrt.f64 (+.f64 alpha beta)) (fma.f64 2 i 2))
(+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (fma.f64 2 i beta))) 2) (cbrt.f64 (+.f64 alpha (fma.f64 2 i beta))) 2)
(+.f64 (+.f64 2 alpha) (fma.f64 2 i beta))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 beta (fma.f64 2 i 2))) 2) (cbrt.f64 (+.f64 beta (fma.f64 2 i 2))) alpha)
(+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))
(fma.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 alpha) (+.f64 beta (fma.f64 2 i 2)))
(+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))
(fma.f64 (sqrt.f64 (fma.f64 2 i 2)) (sqrt.f64 (fma.f64 2 i 2)) (+.f64 alpha beta))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 2 i 2)) 2) (cbrt.f64 (fma.f64 2 i 2)) (+.f64 beta alpha))
(+.f64 (fma.f64 2 i 2) (+.f64 beta alpha))
(fma.f64 (sqrt.f64 (+.f64 alpha beta)) (sqrt.f64 (+.f64 alpha beta)) (fma.f64 2 i 2))
(+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))
(fma.f64 (sqrt.f64 (+.f64 alpha (fma.f64 2 i beta))) (sqrt.f64 (+.f64 alpha (fma.f64 2 i beta))) 2)
(+.f64 (+.f64 2 alpha) (fma.f64 2 i beta))
(fma.f64 (sqrt.f64 (+.f64 beta (fma.f64 2 i 2))) (sqrt.f64 (+.f64 beta (fma.f64 2 i 2))) alpha)
(+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))
(fma.f64 (sqrt.f64 alpha) (sqrt.f64 alpha) (+.f64 beta (fma.f64 2 i 2)))
(+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))

eval1.3s (5.6%)

Compiler

Compiled 63671 to 41010 computations (35.6% saved)

prune278.0ms (1.2%)

Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New95115966
Fresh000
Picked303
Done000
Total95415969
Accuracy
99.8%
Counts
969 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
83.3%
(/.f64 (fma.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (fma.f64 2 i beta))) (-.f64 beta alpha)) (/.f64 1 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) 1) 2)
83.4%
(/.f64 (pow.f64 (pow.f64 (+.f64 1 (/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))))) 3) 1/3) 2)
20.5%
(/.f64 (/.f64 (-.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (*.f64 -1 (+.f64 beta (*.f64 2 i)))) alpha) 2)
83.4%
(/.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 (fma.f64 2 i beta) alpha) (-.f64 beta alpha))) 3)) (+.f64 (pow.f64 (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 (fma.f64 2 i beta) alpha) (-.f64 beta alpha))) 2) (-.f64 1 (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 (fma.f64 2 i beta) alpha) (-.f64 beta alpha)))))) 2)
16.3%
(/.f64 (-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 i)) (+.f64 2 (+.f64 beta (*.f64 2 i)))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 i)) (-.f64 beta (*.f64 -1 (+.f64 beta (*.f64 2 i))))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta (*.f64 2 i)) (-.f64 beta (*.f64 -1 (+.f64 beta (*.f64 2 i))))) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 i alpha)) (+.f64 (*.f64 2 (/.f64 1 alpha)) (/.f64 beta alpha)))))) (*.f64 -1 (/.f64 (+.f64 beta (*.f64 2 i)) alpha))) 2)
15.1%
(/.f64 (-.f64 (+.f64 (*.f64 -1 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (*.f64 (+.f64 beta (*.f64 2 i)) (-.f64 (+.f64 beta (*.f64 -1 beta)) (*.f64 -1 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))))))) (*.f64 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))) (-.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1 (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i)))) (*.f64 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))) (-.f64 (+.f64 beta (*.f64 -1 beta)) (*.f64 -1 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i)))))))))) (pow.f64 alpha 3))) (+.f64 (/.f64 beta alpha) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))) alpha)) (/.f64 (*.f64 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))) (-.f64 (+.f64 beta (*.f64 -1 beta)) (*.f64 -1 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i)))))) (pow.f64 alpha 2))))) 2)
69.3%
(/.f64 (-.f64 (+.f64 1 (/.f64 beta (+.f64 2 (+.f64 alpha beta)))) (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) 2)
23.1%
(/.f64 (-.f64 2 (/.f64 (-.f64 (-.f64 (neg.f64 alpha) (-.f64 (neg.f64 alpha) (+.f64 (*.f64 2 i) alpha))) (-.f64 -2 (+.f64 (*.f64 2 i) alpha))) beta)) 2)
52.3%
(/.f64 (+.f64 (/.f64 (/.f64 (+.f64 alpha beta) (*.f64 2 (/.f64 i (-.f64 beta alpha)))) (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 2 i) 2))) 1) 2)
69.3%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1) 2)
48.4%
(/.f64 (+.f64 (/.f64 (+.f64 (-.f64 beta alpha) (*.f64 -2 i)) (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 2 i) 2))) 1) 2)
65.1%
(/.f64 (+.f64 (/.f64 (neg.f64 alpha) (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 2 i) 2))) 1) 2)
81.2%
(/.f64 (+.f64 (/.f64 beta (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 2 i) 2))) 1) 2)
33.3%
(/.f64 2 2)
64.2%
(/.f64 1 2)
Compiler

Compiled 1232 to 890 computations (27.8% saved)

localize765.0ms (3.3%)

Localize:

Found 13 expressions with local error:

NewAccuracyProgram
100.0%
(-.f64 (neg.f64 alpha) (+.f64 (*.f64 2 i) alpha))
100.0%
(-.f64 (-.f64 (neg.f64 alpha) (-.f64 (neg.f64 alpha) (+.f64 (*.f64 2 i) alpha))) (-.f64 -2 (+.f64 (*.f64 2 i) alpha)))
99.7%
(-.f64 (neg.f64 alpha) (-.f64 (neg.f64 alpha) (+.f64 (*.f64 2 i) alpha)))
99.6%
(/.f64 (-.f64 (-.f64 (neg.f64 alpha) (-.f64 (neg.f64 alpha) (+.f64 (*.f64 2 i) alpha))) (-.f64 -2 (+.f64 (*.f64 2 i) alpha))) beta)
100.0%
(/.f64 (-.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (*.f64 -1 (+.f64 beta (*.f64 2 i)))) alpha)
100.0%
(-.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (*.f64 -1 (+.f64 beta (*.f64 2 i))))
100.0%
(+.f64 (/.f64 beta (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 2 i) 2))) 1)
100.0%
(+.f64 (+.f64 alpha beta) (+.f64 (*.f64 2 i) 2))
99.6%
(/.f64 beta (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 2 i) 2)))
99.6%
(/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))
96.3%
(/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))))
89.2%
(pow.f64 (pow.f64 (+.f64 1 (/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))))) 3) 1/3)
83.4%
(+.f64 1 (/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)))))
Compiler

Compiled 485 to 287 computations (40.8% saved)

series240.0ms (1%)

Counts
13 → 408
Calls

105 calls:

TimeVariablePointExpression
34.0ms
alpha
@0
(pow.f64 (pow.f64 (+.f64 1 (/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))))) 3) 1/3)
34.0ms
alpha
@-inf
(pow.f64 (pow.f64 (+.f64 1 (/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))))) 3) 1/3)
31.0ms
beta
@0
(pow.f64 (pow.f64 (+.f64 1 (/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))))) 3) 1/3)
30.0ms
alpha
@inf
(pow.f64 (pow.f64 (+.f64 1 (/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))))) 3) 1/3)
15.0ms
i
@0
(pow.f64 (pow.f64 (+.f64 1 (/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))))) 3) 1/3)

rewrite181.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
422×log1p-expm1-u
422×expm1-log1p-u
415×add-cube-cbrt
414×prod-diff
408×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047756
1911756
Stop Event
node limit
Counts
13 → 324
Calls
Call 1
Inputs
(+.f64 1 (/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)))))
(pow.f64 (pow.f64 (+.f64 1 (/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))))) 3) 1/3)
(/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))))
(/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))
(/.f64 beta (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 2 i) 2)))
(+.f64 (+.f64 alpha beta) (+.f64 (*.f64 2 i) 2))
(+.f64 (/.f64 beta (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 2 i) 2))) 1)
(-.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (*.f64 -1 (+.f64 beta (*.f64 2 i))))
(/.f64 (-.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (*.f64 -1 (+.f64 beta (*.f64 2 i)))) alpha)
(/.f64 (-.f64 (-.f64 (neg.f64 alpha) (-.f64 (neg.f64 alpha) (+.f64 (*.f64 2 i) alpha))) (-.f64 -2 (+.f64 (*.f64 2 i) alpha))) beta)
(-.f64 (neg.f64 alpha) (-.f64 (neg.f64 alpha) (+.f64 (*.f64 2 i) alpha)))
(-.f64 (-.f64 (neg.f64 alpha) (-.f64 (neg.f64 alpha) (+.f64 (*.f64 2 i) alpha))) (-.f64 -2 (+.f64 (*.f64 2 i) alpha)))
(-.f64 (neg.f64 alpha) (+.f64 (*.f64 2 i) alpha))
Outputs
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))))))) 1)
(*.f64 1 (+.f64 1 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))))))
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))))) 2))
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))))) (pow.f64 (pow.f64 (+.f64 1 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))))) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))))) 2) (cbrt.f64 (+.f64 1 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))))))
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))))) (sqrt.f64 (+.f64 1 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))))))
(*.f64 (pow.f64 1 1/3) (+.f64 1 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))))))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))))) 2) 1/3) (cbrt.f64 (+.f64 1 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))))))
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(exp.f64 (log.f64 (-.f64 (neg.f64 alpha) (fma.f64 2 i alpha))))
(exp.f64 (*.f64 (log.f64 (-.f64 (neg.f64 alpha) (fma.f64 2 i alpha))) 1))
(log1p.f64 (expm1.f64 (-.f64 (neg.f64 alpha) (fma.f64 2 i alpha))))
(fma.f64 1 (neg.f64 alpha) (neg.f64 (fma.f64 2 i alpha)))
(fma.f64 -1 alpha (neg.f64 (fma.f64 2 i alpha)))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 alpha)) 2) (cbrt.f64 (neg.f64 alpha)) (neg.f64 (fma.f64 2 i alpha)))
(fma.f64 (sqrt.f64 (neg.f64 alpha)) (sqrt.f64 (neg.f64 alpha)) (neg.f64 (fma.f64 2 i alpha)))

simplify863.0ms (3.8%)

Algorithm
egg-herbie
Rules
1330×times-frac
922×*-commutative
876×+-commutative
500×fma-def
388×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01784121830
15866121198
Stop Event
node limit
Counts
732 → 778
Calls
Call 1
Inputs
(+.f64 1 (/.f64 (pow.f64 beta 2) (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i)))))
(+.f64 1 (+.f64 (*.f64 alpha (-.f64 (+.f64 (*.f64 -1 (/.f64 beta (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i))))) (/.f64 beta (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i))))) (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i)))) (*.f64 (pow.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) 2) (pow.f64 (+.f64 beta (*.f64 2 i)) 2))))) (/.f64 (pow.f64 beta 2) (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i))))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 2) (+.f64 (/.f64 1 (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i)))) (+.f64 (/.f64 (*.f64 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))) (-.f64 (+.f64 (*.f64 -1 (/.f64 beta (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i))))) (/.f64 beta (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i))))) (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i)))) (*.f64 (pow.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) 2) (pow.f64 (+.f64 beta (*.f64 2 i)) 2))))) (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i)))) (/.f64 (pow.f64 beta 2) (*.f64 (pow.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) 2) (pow.f64 (+.f64 beta (*.f64 2 i)) 2))))))) (+.f64 (*.f64 alpha (-.f64 (+.f64 (*.f64 -1 (/.f64 beta (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i))))) (/.f64 beta (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i))))) (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i)))) (*.f64 (pow.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) 2) (pow.f64 (+.f64 beta (*.f64 2 i)) 2))))) (/.f64 (pow.f64 beta 2) (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i)))))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 2) (+.f64 (/.f64 1 (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i)))) (+.f64 (/.f64 (*.f64 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))) (-.f64 (+.f64 (*.f64 -1 (/.f64 beta (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i))))) (/.f64 beta (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i))))) (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i)))) (*.f64 (pow.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) 2) (pow.f64 (+.f64 beta (*.f64 2 i)) 2))))) (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i)))) (/.f64 (pow.f64 beta 2) (*.f64 (pow.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) 2) (pow.f64 (+.f64 beta (*.f64 2 i)) 2))))))) (+.f64 (*.f64 alpha (-.f64 (+.f64 (*.f64 -1 (/.f64 beta (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i))))) (/.f64 beta (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i))))) (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i)))) (*.f64 (pow.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) 2) (pow.f64 (+.f64 beta (*.f64 2 i)) 2))))) (+.f64 (*.f64 (pow.f64 alpha 3) (-.f64 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i)))) (*.f64 (pow.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) 3) (pow.f64 (+.f64 beta (*.f64 2 i)) 3))) (+.f64 (*.f64 -1 (/.f64 beta (*.f64 (pow.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) 2) (pow.f64 (+.f64 beta (*.f64 2 i)) 2)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))) (+.f64 (/.f64 1 (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i)))) (+.f64 (/.f64 (*.f64 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))) (-.f64 (+.f64 (*.f64 -1 (/.f64 beta (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i))))) (/.f64 beta (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i))))) (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i)))) (*.f64 (pow.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) 2) (pow.f64 (+.f64 beta (*.f64 2 i)) 2))))) (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i)))) (/.f64 (pow.f64 beta 2) (*.f64 (pow.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) 2) (pow.f64 (+.f64 beta (*.f64 2 i)) 2)))))) (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i))))) (/.f64 beta (*.f64 (pow.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) 2) (pow.f64 (+.f64 beta (*.f64 2 i)) 2))))))) (/.f64 (pow.f64 beta 2) (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i))))))))
(/.f64 (-.f64 (+.f64 beta (*.f64 -1 beta)) (*.f64 -1 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))))) alpha)
(-.f64 (+.f64 (*.f64 -1 (/.f64 beta alpha)) (+.f64 (/.f64 beta alpha) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))) alpha)) (/.f64 (*.f64 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))) (-.f64 (+.f64 beta (*.f64 -1 beta)) (*.f64 -1 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i)))))) (pow.f64 alpha 2)))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (*.f64 (+.f64 beta (*.f64 2 i)) (-.f64 (+.f64 beta (*.f64 -1 beta)) (*.f64 -1 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))))))) (*.f64 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))) (-.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1 (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i)))) (*.f64 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))) (-.f64 (+.f64 beta (*.f64 -1 beta)) (*.f64 -1 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i)))))))))) (pow.f64 alpha 3))) (+.f64 (/.f64 beta alpha) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))) alpha)) (/.f64 (*.f64 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))) (-.f64 (+.f64 beta (*.f64 -1 beta)) (*.f64 -1 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i)))))) (pow.f64 alpha 2)))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))) (+.f64 (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (*.f64 (+.f64 beta (*.f64 2 i)) (-.f64 (+.f64 beta (*.f64 -1 beta)) (*.f64 -1 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))))))) (*.f64 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))) (-.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1 (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i)))) (*.f64 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))) (-.f64 (+.f64 beta (*.f64 -1 beta)) (*.f64 -1 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i)))))))))))) (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (*.f64 (+.f64 beta (*.f64 2 i)) (-.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1 (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i)))) (*.f64 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))) (-.f64 (+.f64 beta (*.f64 -1 beta)) (*.f64 -1 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))))))))))) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (*.f64 (+.f64 beta (*.f64 2 i)) (-.f64 (+.f64 beta (*.f64 -1 beta)) (*.f64 -1 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))))))) (*.f64 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))) (-.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1 (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i)))) (*.f64 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))) (-.f64 (+.f64 beta (*.f64 -1 beta)) (*.f64 -1 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i)))))))))) (pow.f64 alpha 3))) (+.f64 (/.f64 beta alpha) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))) alpha)) (/.f64 (*.f64 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))) (-.f64 (+.f64 beta (*.f64 -1 beta)) (*.f64 -1 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i)))))) (pow.f64 alpha 2)))))
(*.f64 -1 (/.f64 (-.f64 (+.f64 beta (*.f64 -1 beta)) (*.f64 -1 (+.f64 (*.f64 -1 (+.f64 2 (+.f64 beta (*.f64 2 i)))) (*.f64 -1 (+.f64 beta (*.f64 2 i)))))) alpha))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 beta (*.f64 -1 beta)) (*.f64 -1 (+.f64 (*.f64 -1 (+.f64 2 (+.f64 beta (*.f64 2 i)))) (*.f64 -1 (+.f64 beta (*.f64 2 i)))))) alpha)) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i))) (pow.f64 alpha 2))) (/.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 2 (+.f64 beta (*.f64 2 i)))) (*.f64 -1 (+.f64 beta (*.f64 2 i)))) (-.f64 (+.f64 beta (*.f64 -1 beta)) (*.f64 -1 (+.f64 (*.f64 -1 (+.f64 2 (+.f64 beta (*.f64 2 i)))) (*.f64 -1 (+.f64 beta (*.f64 2 i))))))) (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 beta (*.f64 -1 beta)) (*.f64 -1 (+.f64 (*.f64 -1 (+.f64 2 (+.f64 beta (*.f64 2 i)))) (*.f64 -1 (+.f64 beta (*.f64 2 i)))))) alpha)) (+.f64 (/.f64 (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (*.f64 (+.f64 beta (*.f64 2 i)) (-.f64 (+.f64 beta (*.f64 -1 beta)) (*.f64 -1 (+.f64 (*.f64 -1 (+.f64 2 (+.f64 beta (*.f64 2 i)))) (*.f64 -1 (+.f64 beta (*.f64 2 i)))))))) (pow.f64 alpha 3)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 2 (+.f64 beta (*.f64 2 i)))) (*.f64 -1 (+.f64 beta (*.f64 2 i)))) (-.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1 (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i)))) (*.f64 (+.f64 (*.f64 -1 (+.f64 2 (+.f64 beta (*.f64 2 i)))) (*.f64 -1 (+.f64 beta (*.f64 2 i)))) (-.f64 (+.f64 beta (*.f64 -1 beta)) (*.f64 -1 (+.f64 (*.f64 -1 (+.f64 2 (+.f64 beta (*.f64 2 i)))) (*.f64 -1 (+.f64 beta (*.f64 2 i)))))))))) (pow.f64 alpha 3)) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i))) (pow.f64 alpha 2))) (/.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 2 (+.f64 beta (*.f64 2 i)))) (*.f64 -1 (+.f64 beta (*.f64 2 i)))) (-.f64 (+.f64 beta (*.f64 -1 beta)) (*.f64 -1 (+.f64 (*.f64 -1 (+.f64 2 (+.f64 beta (*.f64 2 i)))) (*.f64 -1 (+.f64 beta (*.f64 2 i))))))) (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (+.f64 2 (+.f64 beta (*.f64 2 i)))) (*.f64 -1 (+.f64 beta (*.f64 2 i)))) (+.f64 (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (*.f64 (+.f64 beta (*.f64 2 i)) (-.f64 (+.f64 beta (*.f64 -1 beta)) (*.f64 -1 (+.f64 (*.f64 -1 (+.f64 2 (+.f64 beta (*.f64 2 i)))) (*.f64 -1 (+.f64 beta (*.f64 2 i)))))))) (*.f64 (+.f64 (*.f64 -1 (+.f64 2 (+.f64 beta (*.f64 2 i)))) (*.f64 -1 (+.f64 beta (*.f64 2 i)))) (-.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1 (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i)))) (*.f64 (+.f64 (*.f64 -1 (+.f64 2 (+.f64 beta (*.f64 2 i)))) (*.f64 -1 (+.f64 beta (*.f64 2 i)))) (-.f64 (+.f64 beta (*.f64 -1 beta)) (*.f64 -1 (+.f64 (*.f64 -1 (+.f64 2 (+.f64 beta (*.f64 2 i)))) (*.f64 -1 (+.f64 beta (*.f64 2 i))))))))))))) (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (*.f64 (+.f64 beta (*.f64 2 i)) (-.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1 (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i)))) (*.f64 (+.f64 (*.f64 -1 (+.f64 2 (+.f64 beta (*.f64 2 i)))) (*.f64 -1 (+.f64 beta (*.f64 2 i)))) (-.f64 (+.f64 beta (*.f64 -1 beta)) (*.f64 -1 (+.f64 (*.f64 -1 (+.f64 2 (+.f64 beta (*.f64 2 i)))) (*.f64 -1 (+.f64 beta (*.f64 2 i)))))))))))) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 beta (*.f64 -1 beta)) (*.f64 -1 (+.f64 (*.f64 -1 (+.f64 2 (+.f64 beta (*.f64 2 i)))) (*.f64 -1 (+.f64 beta (*.f64 2 i)))))) alpha)) (+.f64 (/.f64 (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (*.f64 (+.f64 beta (*.f64 2 i)) (-.f64 (+.f64 beta (*.f64 -1 beta)) (*.f64 -1 (+.f64 (*.f64 -1 (+.f64 2 (+.f64 beta (*.f64 2 i)))) (*.f64 -1 (+.f64 beta (*.f64 2 i)))))))) (pow.f64 alpha 3)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 2 (+.f64 beta (*.f64 2 i)))) (*.f64 -1 (+.f64 beta (*.f64 2 i)))) (-.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1 (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i)))) (*.f64 (+.f64 (*.f64 -1 (+.f64 2 (+.f64 beta (*.f64 2 i)))) (*.f64 -1 (+.f64 beta (*.f64 2 i)))) (-.f64 (+.f64 beta (*.f64 -1 beta)) (*.f64 -1 (+.f64 (*.f64 -1 (+.f64 2 (+.f64 beta (*.f64 2 i)))) (*.f64 -1 (+.f64 beta (*.f64 2 i)))))))))) (pow.f64 alpha 3)) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i))) (pow.f64 alpha 2))) (/.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 2 (+.f64 beta (*.f64 2 i)))) (*.f64 -1 (+.f64 beta (*.f64 2 i)))) (-.f64 (+.f64 beta (*.f64 -1 beta)) (*.f64 -1 (+.f64 (*.f64 -1 (+.f64 2 (+.f64 beta (*.f64 2 i)))) (*.f64 -1 (+.f64 beta (*.f64 2 i))))))) (pow.f64 alpha 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (*.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) (+.f64 alpha (*.f64 2 i))))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (*.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) (+.f64 alpha (*.f64 2 i))))) (*.f64 beta (-.f64 (+.f64 (*.f64 -1 (/.f64 alpha (*.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) (+.f64 alpha (*.f64 2 i))))) (/.f64 alpha (*.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) (+.f64 alpha (*.f64 2 i))))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 2 (+.f64 (*.f64 2 alpha) (*.f64 4 i)))) (*.f64 (pow.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) 2) (pow.f64 (+.f64 alpha (*.f64 2 i)) 2))))))))
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2
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1
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-1
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1
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1
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(/.f64 (+.f64 beta (*.f64 2 i)) beta)
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-1
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-1
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(/.f64 (+.f64 alpha beta) (-.f64 beta alpha))
(+.f64 (*.f64 2 (/.f64 i (-.f64 beta alpha))) (+.f64 (/.f64 alpha (-.f64 beta alpha)) (/.f64 beta (-.f64 beta alpha))))
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(+.f64 (*.f64 2 (/.f64 i (-.f64 beta alpha))) (+.f64 (/.f64 alpha (-.f64 beta alpha)) (/.f64 beta (-.f64 beta alpha))))
(*.f64 2 (/.f64 i (-.f64 beta alpha)))
(+.f64 (*.f64 2 (/.f64 i (-.f64 beta alpha))) (+.f64 (/.f64 alpha (-.f64 beta alpha)) (/.f64 beta (-.f64 beta alpha))))
(+.f64 (*.f64 2 (/.f64 i (-.f64 beta alpha))) (+.f64 (/.f64 alpha (-.f64 beta alpha)) (/.f64 beta (-.f64 beta alpha))))
(+.f64 (*.f64 2 (/.f64 i (-.f64 beta alpha))) (+.f64 (/.f64 alpha (-.f64 beta alpha)) (/.f64 beta (-.f64 beta alpha))))
(*.f64 2 (/.f64 i (-.f64 beta alpha)))
(+.f64 (*.f64 2 (/.f64 i (-.f64 beta alpha))) (+.f64 (/.f64 alpha (-.f64 beta alpha)) (/.f64 beta (-.f64 beta alpha))))
(+.f64 (*.f64 2 (/.f64 i (-.f64 beta alpha))) (+.f64 (/.f64 alpha (-.f64 beta alpha)) (/.f64 beta (-.f64 beta alpha))))
(+.f64 (*.f64 2 (/.f64 i (-.f64 beta alpha))) (+.f64 (/.f64 alpha (-.f64 beta alpha)) (/.f64 beta (-.f64 beta alpha))))
(*.f64 -1 (/.f64 (+.f64 alpha (*.f64 2 i)) alpha))
(+.f64 (*.f64 -1 (*.f64 beta (+.f64 (*.f64 2 (/.f64 i (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))) (*.f64 -1 (/.f64 (+.f64 alpha (*.f64 2 i)) alpha)))
(+.f64 (*.f64 -1 (*.f64 beta (+.f64 (*.f64 2 (/.f64 i (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 2 (/.f64 i (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))))) (*.f64 -1 (/.f64 (+.f64 alpha (*.f64 2 i)) alpha))))
(+.f64 (*.f64 -1 (*.f64 beta (+.f64 (*.f64 2 (/.f64 i (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 2 (/.f64 i (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 2 (/.f64 i (pow.f64 alpha 4))) (*.f64 2 (/.f64 1 (pow.f64 alpha 3)))))) (*.f64 -1 (/.f64 (+.f64 alpha (*.f64 2 i)) alpha)))))
1
(-.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 i beta)) (/.f64 alpha beta))) (*.f64 -1 (/.f64 alpha beta)))
(-.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 i beta)) (+.f64 (/.f64 alpha beta) (/.f64 (*.f64 alpha (-.f64 (+.f64 alpha (*.f64 2 i)) (*.f64 -1 alpha))) (pow.f64 beta 2))))) (*.f64 -1 (/.f64 alpha beta)))
(-.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 i beta)) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 (*.f64 alpha (-.f64 (+.f64 alpha (*.f64 2 i)) (*.f64 -1 alpha))) (pow.f64 beta 2)) (/.f64 (*.f64 (pow.f64 alpha 2) (-.f64 (+.f64 alpha (*.f64 2 i)) (*.f64 -1 alpha))) (pow.f64 beta 3)))))) (*.f64 -1 (/.f64 alpha beta)))
1
(-.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 i beta)) (/.f64 alpha beta))) (*.f64 -1 (/.f64 alpha beta)))
(-.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 i beta)) (+.f64 (/.f64 alpha beta) (/.f64 (*.f64 alpha (-.f64 (+.f64 alpha (*.f64 2 i)) (*.f64 -1 alpha))) (pow.f64 beta 2))))) (*.f64 -1 (/.f64 alpha beta)))
(-.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 i beta)) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 (*.f64 alpha (-.f64 (+.f64 alpha (*.f64 2 i)) (*.f64 -1 alpha))) (pow.f64 beta 2)) (/.f64 (*.f64 (pow.f64 alpha 2) (-.f64 (+.f64 alpha (*.f64 2 i)) (*.f64 -1 alpha))) (pow.f64 beta 3)))))) (*.f64 -1 (/.f64 alpha beta)))
(/.f64 beta (+.f64 2 (+.f64 alpha (*.f64 2 i))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) 2))) (/.f64 beta (+.f64 2 (+.f64 alpha (*.f64 2 i)))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) 2))) (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha (*.f64 2 i)))) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) 3))))
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1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) beta)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) beta)) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) 2) (pow.f64 beta 2))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) beta)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) 3) (pow.f64 beta 3))) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) 2) (pow.f64 beta 2)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) beta)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) beta)) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) 2) (pow.f64 beta 2))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) beta)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) 3) (pow.f64 beta 3))) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) 2) (pow.f64 beta 2)))))
(/.f64 beta (+.f64 2 (+.f64 beta (*.f64 2 i))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) 2))) (/.f64 beta (+.f64 2 (+.f64 beta (*.f64 2 i)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) 2))) (+.f64 (/.f64 beta (+.f64 2 (+.f64 beta (*.f64 2 i)))) (/.f64 (*.f64 (pow.f64 alpha 2) beta) (pow.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) 3))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 alpha 3) beta) (pow.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) 4))) (+.f64 (/.f64 beta (+.f64 2 (+.f64 beta (*.f64 2 i)))) (/.f64 (*.f64 (pow.f64 alpha 2) beta) (pow.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) 3)))))
(/.f64 beta alpha)
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 (+.f64 beta (*.f64 2 i)))) (pow.f64 alpha 2))) (/.f64 beta alpha))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 (+.f64 beta (*.f64 2 i)))) (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) 2)) (pow.f64 alpha 3))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 (+.f64 beta (*.f64 2 i)))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) 3)) (pow.f64 alpha 4))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) 2)) (pow.f64 alpha 3)))))
(/.f64 beta alpha)
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 (+.f64 beta (*.f64 2 i)))) (pow.f64 alpha 2))) (/.f64 beta alpha))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 (+.f64 beta (*.f64 2 i)))) (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) 2)) (pow.f64 alpha 3))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 (+.f64 beta (*.f64 2 i)))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) 3)) (pow.f64 alpha 4))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) 2)) (pow.f64 alpha 3)))))
(/.f64 beta (+.f64 2 (+.f64 alpha beta)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 beta i) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2))) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))
(+.f64 (*.f64 -2 (/.f64 (*.f64 beta i) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2))) (+.f64 (*.f64 4 (/.f64 (*.f64 beta (pow.f64 i 2)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 3))) (/.f64 beta (+.f64 2 (+.f64 alpha beta)))))
(+.f64 (*.f64 -8 (/.f64 (*.f64 beta (pow.f64 i 3)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 4))) (+.f64 (*.f64 -2 (/.f64 (*.f64 beta i) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2))) (+.f64 (*.f64 4 (/.f64 (*.f64 beta (pow.f64 i 2)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 3))) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))))
(*.f64 1/2 (/.f64 beta i))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 beta (+.f64 2 (+.f64 alpha beta))) (pow.f64 i 2))) (*.f64 1/2 (/.f64 beta i)))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 beta (+.f64 2 (+.f64 alpha beta))) (pow.f64 i 2))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (pow.f64 i 3))) (*.f64 1/2 (/.f64 beta i))))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 beta (+.f64 2 (+.f64 alpha beta))) (pow.f64 i 2))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 (+.f64 alpha beta)) 3)) (pow.f64 i 4))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (pow.f64 i 3))) (*.f64 1/2 (/.f64 beta i)))))
(*.f64 1/2 (/.f64 beta i))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 beta (+.f64 2 (+.f64 alpha beta))) (pow.f64 i 2))) (*.f64 1/2 (/.f64 beta i)))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 beta (+.f64 2 (+.f64 alpha beta))) (pow.f64 i 2))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (pow.f64 i 3))) (*.f64 1/2 (/.f64 beta i))))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 beta (+.f64 2 (+.f64 alpha beta))) (pow.f64 i 2))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 (+.f64 alpha beta)) 3)) (pow.f64 i 4))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (pow.f64 i 3))) (*.f64 1/2 (/.f64 beta i)))))
(+.f64 2 (+.f64 beta (*.f64 2 i)))
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
alpha
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
alpha
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
(+.f64 2 (+.f64 alpha (*.f64 2 i)))
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
beta
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
beta
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
(+.f64 2 (+.f64 alpha beta))
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
(*.f64 2 i)
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
(*.f64 2 i)
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
1
(+.f64 1 (/.f64 beta (+.f64 2 (+.f64 alpha (*.f64 2 i)))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) 2))) (/.f64 beta (+.f64 2 (+.f64 alpha (*.f64 2 i))))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) 2))) (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha (*.f64 2 i)))) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) 3)))))
2
(+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) beta)))
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) beta)) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) 2) (pow.f64 beta 2))))
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) beta)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) 3) (pow.f64 beta 3))) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) 2) (pow.f64 beta 2)))))
2
(+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) beta)))
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) beta)) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) 2) (pow.f64 beta 2))))
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) beta)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) 3) (pow.f64 beta 3))) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) 2) (pow.f64 beta 2)))))
(+.f64 1 (/.f64 beta (+.f64 2 (+.f64 beta (*.f64 2 i)))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) 2))) (/.f64 beta (+.f64 2 (+.f64 beta (*.f64 2 i))))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) 2))) (+.f64 (/.f64 beta (+.f64 2 (+.f64 beta (*.f64 2 i)))) (/.f64 (*.f64 (pow.f64 alpha 2) beta) (pow.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) 3)))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 alpha 3) beta) (pow.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) 4))) (+.f64 (/.f64 beta (+.f64 2 (+.f64 beta (*.f64 2 i)))) (/.f64 (*.f64 (pow.f64 alpha 2) beta) (pow.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) 3))))))
1
(+.f64 1 (/.f64 beta alpha))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 (+.f64 beta (*.f64 2 i)))) (pow.f64 alpha 2))) (/.f64 beta alpha)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 (+.f64 beta (*.f64 2 i)))) (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) 2)) (pow.f64 alpha 3)))))
1
(+.f64 1 (/.f64 beta alpha))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 (+.f64 beta (*.f64 2 i)))) (pow.f64 alpha 2))) (/.f64 beta alpha)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 (+.f64 beta (*.f64 2 i)))) (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) 2)) (pow.f64 alpha 3)))))
(+.f64 1 (/.f64 beta (+.f64 2 (+.f64 alpha beta))))
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 (*.f64 beta i) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2))) (/.f64 beta (+.f64 2 (+.f64 alpha beta)))))
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 (*.f64 beta i) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2))) (+.f64 (*.f64 4 (/.f64 (*.f64 beta (pow.f64 i 2)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 3))) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))))
(+.f64 1 (+.f64 (*.f64 -8 (/.f64 (*.f64 beta (pow.f64 i 3)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 4))) (+.f64 (*.f64 -2 (/.f64 (*.f64 beta i) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2))) (+.f64 (*.f64 4 (/.f64 (*.f64 beta (pow.f64 i 2)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 3))) (/.f64 beta (+.f64 2 (+.f64 alpha beta)))))))
1
(+.f64 1 (*.f64 1/2 (/.f64 beta i)))
(+.f64 1 (+.f64 (*.f64 -1/4 (/.f64 (*.f64 beta (+.f64 2 (+.f64 alpha beta))) (pow.f64 i 2))) (*.f64 1/2 (/.f64 beta i))))
(+.f64 1 (+.f64 (*.f64 -1/4 (/.f64 (*.f64 beta (+.f64 2 (+.f64 alpha beta))) (pow.f64 i 2))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (pow.f64 i 3))) (*.f64 1/2 (/.f64 beta i)))))
1
(+.f64 1 (*.f64 1/2 (/.f64 beta i)))
(+.f64 1 (+.f64 (*.f64 -1/4 (/.f64 (*.f64 beta (+.f64 2 (+.f64 alpha beta))) (pow.f64 i 2))) (*.f64 1/2 (/.f64 beta i))))
(+.f64 1 (+.f64 (*.f64 -1/4 (/.f64 (*.f64 beta (+.f64 2 (+.f64 alpha beta))) (pow.f64 i 2))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (pow.f64 i 3))) (*.f64 1/2 (/.f64 beta i)))))
(-.f64 (+.f64 2 (*.f64 2 i)) (*.f64 -2 i))
(-.f64 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 2 i))) (*.f64 -2 i))
(-.f64 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 2 i))) (*.f64 -2 i))
(-.f64 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 2 i))) (*.f64 -2 i))
(*.f64 2 beta)
(-.f64 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 2 i))) (*.f64 -2 i))
(-.f64 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 2 i))) (*.f64 -2 i))
(-.f64 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 2 i))) (*.f64 -2 i))
(*.f64 2 beta)
(-.f64 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 2 i))) (*.f64 -2 i))
(-.f64 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 2 i))) (*.f64 -2 i))
(-.f64 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 2 i))) (*.f64 -2 i))
(-.f64 (+.f64 2 beta) (*.f64 -1 beta))
(-.f64 (+.f64 2 (+.f64 beta (*.f64 4 i))) (*.f64 -1 beta))
(-.f64 (+.f64 2 (+.f64 beta (*.f64 4 i))) (*.f64 -1 beta))
(-.f64 (+.f64 2 (+.f64 beta (*.f64 4 i))) (*.f64 -1 beta))
(*.f64 4 i)
(-.f64 (+.f64 2 (+.f64 beta (*.f64 4 i))) (*.f64 -1 beta))
(-.f64 (+.f64 2 (+.f64 beta (*.f64 4 i))) (*.f64 -1 beta))
(-.f64 (+.f64 2 (+.f64 beta (*.f64 4 i))) (*.f64 -1 beta))
(*.f64 4 i)
(-.f64 (+.f64 2 (+.f64 beta (*.f64 4 i))) (*.f64 -1 beta))
(-.f64 (+.f64 2 (+.f64 beta (*.f64 4 i))) (*.f64 -1 beta))
(-.f64 (+.f64 2 (+.f64 beta (*.f64 4 i))) (*.f64 -1 beta))
(/.f64 (-.f64 (+.f64 2 (*.f64 2 i)) (*.f64 -2 i)) alpha)
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(+.f64 (+.f64 (-.f64 (+.f64 (-.f64 (neg.f64 alpha) (neg.f64 alpha)) (fma.f64 2 i alpha)) -2) (fma.f64 2 i alpha)) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 -2 (fma.f64 2 i alpha)))) (sqrt.f64 (-.f64 -2 (fma.f64 2 i alpha))) (-.f64 -2 (fma.f64 2 i alpha))))
(+.f64 (-.f64 (+.f64 (-.f64 (neg.f64 alpha) (neg.f64 alpha)) (fma.f64 2 i alpha)) -2) (fma.f64 2 i alpha))
(+.f64 (fma.f64 1 (+.f64 (-.f64 (neg.f64 alpha) (neg.f64 alpha)) (fma.f64 2 i alpha)) (neg.f64 (*.f64 (-.f64 -2 (fma.f64 2 i alpha)) 1))) (fma.f64 (neg.f64 (-.f64 -2 (fma.f64 2 i alpha))) 1 (*.f64 (-.f64 -2 (fma.f64 2 i alpha)) 1)))
(+.f64 (fma.f64 1 (+.f64 (-.f64 (neg.f64 alpha) (neg.f64 alpha)) (fma.f64 2 i alpha)) (neg.f64 (*.f64 (cbrt.f64 (-.f64 -2 (fma.f64 2 i alpha))) (cbrt.f64 (pow.f64 (-.f64 -2 (fma.f64 2 i alpha)) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 -2 (fma.f64 2 i alpha)))) (cbrt.f64 (pow.f64 (-.f64 -2 (fma.f64 2 i alpha)) 2)) (*.f64 (cbrt.f64 (-.f64 -2 (fma.f64 2 i alpha))) (cbrt.f64 (pow.f64 (-.f64 -2 (fma.f64 2 i alpha)) 2)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (+.f64 (-.f64 (neg.f64 alpha) (neg.f64 alpha)) (fma.f64 2 i alpha))) 2) (cbrt.f64 (+.f64 (-.f64 (neg.f64 alpha) (neg.f64 alpha)) (fma.f64 2 i alpha))) (neg.f64 (*.f64 (-.f64 -2 (fma.f64 2 i alpha)) 1))) (fma.f64 (neg.f64 (-.f64 -2 (fma.f64 2 i alpha))) 1 (*.f64 (-.f64 -2 (fma.f64 2 i alpha)) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (+.f64 (-.f64 (neg.f64 alpha) (neg.f64 alpha)) (fma.f64 2 i alpha))) 2) (cbrt.f64 (+.f64 (-.f64 (neg.f64 alpha) (neg.f64 alpha)) (fma.f64 2 i alpha))) (neg.f64 (*.f64 (cbrt.f64 (-.f64 -2 (fma.f64 2 i alpha))) (cbrt.f64 (pow.f64 (-.f64 -2 (fma.f64 2 i alpha)) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 -2 (fma.f64 2 i alpha)))) (cbrt.f64 (pow.f64 (-.f64 -2 (fma.f64 2 i alpha)) 2)) (*.f64 (cbrt.f64 (-.f64 -2 (fma.f64 2 i alpha))) (cbrt.f64 (pow.f64 (-.f64 -2 (fma.f64 2 i alpha)) 2)))))
(+.f64 (fma.f64 (sqrt.f64 (+.f64 (-.f64 (neg.f64 alpha) (neg.f64 alpha)) (fma.f64 2 i alpha))) (sqrt.f64 (+.f64 (-.f64 (neg.f64 alpha) (neg.f64 alpha)) (fma.f64 2 i alpha))) (neg.f64 (*.f64 (-.f64 -2 (fma.f64 2 i alpha)) 1))) (fma.f64 (neg.f64 (-.f64 -2 (fma.f64 2 i alpha))) 1 (*.f64 (-.f64 -2 (fma.f64 2 i alpha)) 1)))
(+.f64 (fma.f64 (sqrt.f64 (+.f64 (-.f64 (neg.f64 alpha) (neg.f64 alpha)) (fma.f64 2 i alpha))) (sqrt.f64 (+.f64 (-.f64 (neg.f64 alpha) (neg.f64 alpha)) (fma.f64 2 i alpha))) (neg.f64 (*.f64 (cbrt.f64 (-.f64 -2 (fma.f64 2 i alpha))) (cbrt.f64 (pow.f64 (-.f64 -2 (fma.f64 2 i alpha)) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 -2 (fma.f64 2 i alpha)))) (cbrt.f64 (pow.f64 (-.f64 -2 (fma.f64 2 i alpha)) 2)) (*.f64 (cbrt.f64 (-.f64 -2 (fma.f64 2 i alpha))) (cbrt.f64 (pow.f64 (-.f64 -2 (fma.f64 2 i alpha)) 2)))))
(*.f64 1 (+.f64 (-.f64 (+.f64 (-.f64 (neg.f64 alpha) (neg.f64 alpha)) (fma.f64 2 i alpha)) -2) (fma.f64 2 i alpha)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (-.f64 (+.f64 (-.f64 (neg.f64 alpha) (neg.f64 alpha)) (fma.f64 2 i alpha)) -2) (fma.f64 2 i alpha))) 2) (cbrt.f64 (+.f64 (-.f64 (+.f64 (-.f64 (neg.f64 alpha) (neg.f64 alpha)) (fma.f64 2 i alpha)) -2) (fma.f64 2 i alpha))))
(*.f64 (sqrt.f64 (+.f64 (-.f64 (+.f64 (-.f64 (neg.f64 alpha) (neg.f64 alpha)) (fma.f64 2 i alpha)) -2) (fma.f64 2 i alpha))) (sqrt.f64 (+.f64 (-.f64 (+.f64 (-.f64 (neg.f64 alpha) (neg.f64 alpha)) (fma.f64 2 i alpha)) -2) (fma.f64 2 i alpha))))
(/.f64 (-.f64 (pow.f64 (+.f64 (-.f64 (neg.f64 alpha) (neg.f64 alpha)) (fma.f64 2 i alpha)) 3) (pow.f64 (-.f64 -2 (fma.f64 2 i alpha)) 3)) (+.f64 (pow.f64 (+.f64 (-.f64 (neg.f64 alpha) (neg.f64 alpha)) (fma.f64 2 i alpha)) 2) (+.f64 (pow.f64 (-.f64 -2 (fma.f64 2 i alpha)) 2) (*.f64 (+.f64 (-.f64 (neg.f64 alpha) (neg.f64 alpha)) (fma.f64 2 i alpha)) (-.f64 -2 (fma.f64 2 i alpha))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (-.f64 (neg.f64 alpha) (neg.f64 alpha)) (fma.f64 2 i alpha)) 2) (pow.f64 (-.f64 -2 (fma.f64 2 i alpha)) 2)) (+.f64 (+.f64 (-.f64 (neg.f64 alpha) (neg.f64 alpha)) (fma.f64 2 i alpha)) (-.f64 -2 (fma.f64 2 i alpha))))
(pow.f64 (+.f64 (-.f64 (+.f64 (-.f64 (neg.f64 alpha) (neg.f64 alpha)) (fma.f64 2 i alpha)) -2) (fma.f64 2 i alpha)) 1)
(pow.f64 (cbrt.f64 (+.f64 (-.f64 (+.f64 (-.f64 (neg.f64 alpha) (neg.f64 alpha)) (fma.f64 2 i alpha)) -2) (fma.f64 2 i alpha))) 3)
(pow.f64 (pow.f64 (+.f64 (-.f64 (+.f64 (-.f64 (neg.f64 alpha) (neg.f64 alpha)) (fma.f64 2 i alpha)) -2) (fma.f64 2 i alpha)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (-.f64 (+.f64 (-.f64 (neg.f64 alpha) (neg.f64 alpha)) (fma.f64 2 i alpha)) -2) (fma.f64 2 i alpha))) 2)
(log.f64 (exp.f64 (+.f64 (-.f64 (+.f64 (-.f64 (neg.f64 alpha) (neg.f64 alpha)) (fma.f64 2 i alpha)) -2) (fma.f64 2 i alpha))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (-.f64 (+.f64 (-.f64 (neg.f64 alpha) (neg.f64 alpha)) (fma.f64 2 i alpha)) -2) (fma.f64 2 i alpha)))))
(cbrt.f64 (pow.f64 (+.f64 (-.f64 (+.f64 (-.f64 (neg.f64 alpha) (neg.f64 alpha)) (fma.f64 2 i alpha)) -2) (fma.f64 2 i alpha)) 3))
(expm1.f64 (log1p.f64 (+.f64 (-.f64 (+.f64 (-.f64 (neg.f64 alpha) (neg.f64 alpha)) (fma.f64 2 i alpha)) -2) (fma.f64 2 i alpha))))
(exp.f64 (log.f64 (+.f64 (-.f64 (+.f64 (-.f64 (neg.f64 alpha) (neg.f64 alpha)) (fma.f64 2 i alpha)) -2) (fma.f64 2 i alpha))))
(exp.f64 (*.f64 (log.f64 (+.f64 (-.f64 (+.f64 (-.f64 (neg.f64 alpha) (neg.f64 alpha)) (fma.f64 2 i alpha)) -2) (fma.f64 2 i alpha))) 1))
(log1p.f64 (expm1.f64 (+.f64 (-.f64 (+.f64 (-.f64 (neg.f64 alpha) (neg.f64 alpha)) (fma.f64 2 i alpha)) -2) (fma.f64 2 i alpha))))
(fma.f64 1 (neg.f64 alpha) (neg.f64 (+.f64 (-.f64 (neg.f64 alpha) (fma.f64 2 i alpha)) (-.f64 -2 (fma.f64 2 i alpha)))))
(fma.f64 1 (+.f64 (-.f64 (neg.f64 alpha) (neg.f64 alpha)) (fma.f64 2 i alpha)) (neg.f64 (-.f64 -2 (fma.f64 2 i alpha))))
(fma.f64 -1 alpha (neg.f64 (+.f64 (-.f64 (neg.f64 alpha) (fma.f64 2 i alpha)) (-.f64 -2 (fma.f64 2 i alpha)))))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 alpha)) 2) (cbrt.f64 (neg.f64 alpha)) (neg.f64 (+.f64 (-.f64 (neg.f64 alpha) (fma.f64 2 i alpha)) (-.f64 -2 (fma.f64 2 i alpha)))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (-.f64 (neg.f64 alpha) (neg.f64 alpha)) (fma.f64 2 i alpha))) 2) (cbrt.f64 (+.f64 (-.f64 (neg.f64 alpha) (neg.f64 alpha)) (fma.f64 2 i alpha))) (neg.f64 (-.f64 -2 (fma.f64 2 i alpha))))
(fma.f64 (sqrt.f64 (neg.f64 alpha)) (sqrt.f64 (neg.f64 alpha)) (neg.f64 (+.f64 (-.f64 (neg.f64 alpha) (fma.f64 2 i alpha)) (-.f64 -2 (fma.f64 2 i alpha)))))
(fma.f64 (sqrt.f64 (+.f64 (-.f64 (neg.f64 alpha) (neg.f64 alpha)) (fma.f64 2 i alpha))) (sqrt.f64 (+.f64 (-.f64 (neg.f64 alpha) (neg.f64 alpha)) (fma.f64 2 i alpha))) (neg.f64 (-.f64 -2 (fma.f64 2 i alpha))))
(+.f64 (neg.f64 alpha) (neg.f64 (fma.f64 2 i alpha)))
(+.f64 (-.f64 (neg.f64 alpha) (fma.f64 2 i alpha)) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 2 i alpha))) (sqrt.f64 (fma.f64 2 i alpha)) (fma.f64 2 i alpha)))
(+.f64 (fma.f64 1 (neg.f64 alpha) (neg.f64 (*.f64 (fma.f64 2 i alpha) 1))) (fma.f64 (neg.f64 (fma.f64 2 i alpha)) 1 (*.f64 (fma.f64 2 i alpha) 1)))
(+.f64 (fma.f64 1 (neg.f64 alpha) (neg.f64 (*.f64 (cbrt.f64 (fma.f64 2 i alpha)) (pow.f64 (cbrt.f64 (fma.f64 2 i alpha)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 2 i alpha))) (pow.f64 (cbrt.f64 (fma.f64 2 i alpha)) 2) (*.f64 (cbrt.f64 (fma.f64 2 i alpha)) (pow.f64 (cbrt.f64 (fma.f64 2 i alpha)) 2))))
(+.f64 (fma.f64 -1 alpha (neg.f64 (*.f64 (fma.f64 2 i alpha) 1))) (fma.f64 (neg.f64 (fma.f64 2 i alpha)) 1 (*.f64 (fma.f64 2 i alpha) 1)))
(+.f64 (fma.f64 -1 alpha (neg.f64 (*.f64 (cbrt.f64 (fma.f64 2 i alpha)) (pow.f64 (cbrt.f64 (fma.f64 2 i alpha)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 2 i alpha))) (pow.f64 (cbrt.f64 (fma.f64 2 i alpha)) 2) (*.f64 (cbrt.f64 (fma.f64 2 i alpha)) (pow.f64 (cbrt.f64 (fma.f64 2 i alpha)) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (neg.f64 alpha)) 2) (cbrt.f64 (neg.f64 alpha)) (neg.f64 (*.f64 (fma.f64 2 i alpha) 1))) (fma.f64 (neg.f64 (fma.f64 2 i alpha)) 1 (*.f64 (fma.f64 2 i alpha) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (neg.f64 alpha)) 2) (cbrt.f64 (neg.f64 alpha)) (neg.f64 (*.f64 (cbrt.f64 (fma.f64 2 i alpha)) (pow.f64 (cbrt.f64 (fma.f64 2 i alpha)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 2 i alpha))) (pow.f64 (cbrt.f64 (fma.f64 2 i alpha)) 2) (*.f64 (cbrt.f64 (fma.f64 2 i alpha)) (pow.f64 (cbrt.f64 (fma.f64 2 i alpha)) 2))))
(+.f64 (fma.f64 (sqrt.f64 (neg.f64 alpha)) (sqrt.f64 (neg.f64 alpha)) (neg.f64 (*.f64 (fma.f64 2 i alpha) 1))) (fma.f64 (neg.f64 (fma.f64 2 i alpha)) 1 (*.f64 (fma.f64 2 i alpha) 1)))
(+.f64 (fma.f64 (sqrt.f64 (neg.f64 alpha)) (sqrt.f64 (neg.f64 alpha)) (neg.f64 (*.f64 (cbrt.f64 (fma.f64 2 i alpha)) (pow.f64 (cbrt.f64 (fma.f64 2 i alpha)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 2 i alpha))) (pow.f64 (cbrt.f64 (fma.f64 2 i alpha)) 2) (*.f64 (cbrt.f64 (fma.f64 2 i alpha)) (pow.f64 (cbrt.f64 (fma.f64 2 i alpha)) 2))))
(*.f64 1 (-.f64 (neg.f64 alpha) (fma.f64 2 i alpha)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (neg.f64 alpha) (fma.f64 2 i alpha)) 2)) (cbrt.f64 (-.f64 (neg.f64 alpha) (fma.f64 2 i alpha))))
(*.f64 (sqrt.f64 (-.f64 (neg.f64 alpha) (fma.f64 2 i alpha))) (sqrt.f64 (-.f64 (neg.f64 alpha) (fma.f64 2 i alpha))))
(/.f64 (-.f64 (pow.f64 (neg.f64 alpha) 3) (pow.f64 (fma.f64 2 i alpha) 3)) (+.f64 (pow.f64 (neg.f64 alpha) 2) (+.f64 (pow.f64 (fma.f64 2 i alpha) 2) (*.f64 (neg.f64 alpha) (fma.f64 2 i alpha)))))
(/.f64 (-.f64 (pow.f64 (neg.f64 alpha) 2) (pow.f64 (fma.f64 2 i alpha) 2)) (fma.f64 -1 alpha (fma.f64 2 i alpha)))
(pow.f64 (-.f64 (neg.f64 alpha) (fma.f64 2 i alpha)) 1)
(pow.f64 (cbrt.f64 (-.f64 (neg.f64 alpha) (fma.f64 2 i alpha))) 3)
(pow.f64 (pow.f64 (-.f64 (neg.f64 alpha) (fma.f64 2 i alpha)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (neg.f64 alpha) (fma.f64 2 i alpha))) 2)
(log.f64 (exp.f64 (-.f64 (neg.f64 alpha) (fma.f64 2 i alpha))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (neg.f64 alpha) (fma.f64 2 i alpha)))))
(cbrt.f64 (pow.f64 (-.f64 (neg.f64 alpha) (fma.f64 2 i alpha)) 3))
(expm1.f64 (log1p.f64 (-.f64 (neg.f64 alpha) (fma.f64 2 i alpha))))
(exp.f64 (log.f64 (-.f64 (neg.f64 alpha) (fma.f64 2 i alpha))))
(exp.f64 (*.f64 (log.f64 (-.f64 (neg.f64 alpha) (fma.f64 2 i alpha))) 1))
(log1p.f64 (expm1.f64 (-.f64 (neg.f64 alpha) (fma.f64 2 i alpha))))
(fma.f64 1 (neg.f64 alpha) (neg.f64 (fma.f64 2 i alpha)))
(fma.f64 -1 alpha (neg.f64 (fma.f64 2 i alpha)))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 alpha)) 2) (cbrt.f64 (neg.f64 alpha)) (neg.f64 (fma.f64 2 i alpha)))
(fma.f64 (sqrt.f64 (neg.f64 alpha)) (sqrt.f64 (neg.f64 alpha)) (neg.f64 (fma.f64 2 i alpha)))
Outputs
(+.f64 1 (/.f64 (pow.f64 beta 2) (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i)))))
(+.f64 1 (/.f64 (pow.f64 beta 2) (*.f64 (+.f64 2 (fma.f64 2 i beta)) (fma.f64 2 i beta))))
(+.f64 1 (+.f64 (*.f64 alpha (-.f64 (+.f64 (*.f64 -1 (/.f64 beta (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i))))) (/.f64 beta (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i))))) (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i)))) (*.f64 (pow.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) 2) (pow.f64 (+.f64 beta (*.f64 2 i)) 2))))) (/.f64 (pow.f64 beta 2) (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i))))))
(+.f64 1 (fma.f64 alpha (-.f64 (*.f64 0 (/.f64 beta (*.f64 (+.f64 2 (fma.f64 2 i beta)) (fma.f64 2 i beta)))) (*.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 (fma.f64 2 i beta)) 2)) (/.f64 (+.f64 2 (fma.f64 2 beta (*.f64 i 4))) (pow.f64 (fma.f64 2 i beta) 2)))) (/.f64 (pow.f64 beta 2) (*.f64 (+.f64 2 (fma.f64 2 i beta)) (fma.f64 2 i beta)))))
(+.f64 1 (fma.f64 alpha (-.f64 (*.f64 0 (/.f64 beta (*.f64 (+.f64 2 (fma.f64 2 i beta)) (fma.f64 2 i beta)))) (*.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (fma.f64 2 i beta) 2)) (/.f64 (+.f64 2 (fma.f64 2 beta (*.f64 i 4))) (pow.f64 (+.f64 2 (fma.f64 2 i beta)) 2)))) (/.f64 (pow.f64 beta 2) (*.f64 (+.f64 2 (fma.f64 2 i beta)) (fma.f64 2 i beta)))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 2) (+.f64 (/.f64 1 (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i)))) (+.f64 (/.f64 (*.f64 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))) (-.f64 (+.f64 (*.f64 -1 (/.f64 beta (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i))))) (/.f64 beta (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i))))) (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i)))) (*.f64 (pow.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) 2) (pow.f64 (+.f64 beta (*.f64 2 i)) 2))))) (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i)))) (/.f64 (pow.f64 beta 2) (*.f64 (pow.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) 2) (pow.f64 (+.f64 beta (*.f64 2 i)) 2))))))) (+.f64 (*.f64 alpha (-.f64 (+.f64 (*.f64 -1 (/.f64 beta (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i))))) (/.f64 beta (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i))))) (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i)))) (*.f64 (pow.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) 2) (pow.f64 (+.f64 beta (*.f64 2 i)) 2))))) (/.f64 (pow.f64 beta 2) (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i)))))))
(+.f64 1 (fma.f64 -1 (*.f64 (pow.f64 alpha 2) (+.f64 (/.f64 1 (*.f64 (+.f64 2 (fma.f64 2 i beta)) (fma.f64 2 i beta))) (+.f64 (/.f64 (+.f64 2 (fma.f64 2 beta (*.f64 i 4))) (/.f64 (*.f64 (+.f64 2 (fma.f64 2 i beta)) (fma.f64 2 i beta)) (-.f64 (*.f64 0 (/.f64 beta (*.f64 (+.f64 2 (fma.f64 2 i beta)) (fma.f64 2 i beta)))) (*.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 (fma.f64 2 i beta)) 2)) (/.f64 (+.f64 2 (fma.f64 2 beta (*.f64 i 4))) (pow.f64 (fma.f64 2 i beta) 2)))))) (/.f64 (pow.f64 beta 2) (*.f64 (pow.f64 (+.f64 2 (fma.f64 2 i beta)) 2) (pow.f64 (fma.f64 2 i beta) 2)))))) (fma.f64 alpha (-.f64 (*.f64 0 (/.f64 beta (*.f64 (+.f64 2 (fma.f64 2 i beta)) (fma.f64 2 i beta)))) (*.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 (fma.f64 2 i beta)) 2)) (/.f64 (+.f64 2 (fma.f64 2 beta (*.f64 i 4))) (pow.f64 (fma.f64 2 i beta) 2)))) (/.f64 (pow.f64 beta 2) (*.f64 (+.f64 2 (fma.f64 2 i beta)) (fma.f64 2 i beta))))))
(+.f64 1 (fma.f64 -1 (*.f64 (pow.f64 alpha 2) (+.f64 (/.f64 1 (*.f64 (+.f64 2 (fma.f64 2 i beta)) (fma.f64 2 i beta))) (+.f64 (*.f64 (/.f64 (+.f64 2 (fma.f64 2 beta (*.f64 i 4))) (fma.f64 2 i beta)) (/.f64 (-.f64 (*.f64 0 (/.f64 beta (*.f64 (+.f64 2 (fma.f64 2 i beta)) (fma.f64 2 i beta)))) (*.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (fma.f64 2 i beta) 2)) (/.f64 (+.f64 2 (fma.f64 2 beta (*.f64 i 4))) (pow.f64 (+.f64 2 (fma.f64 2 i beta)) 2)))) (+.f64 2 (fma.f64 2 i beta)))) (/.f64 (pow.f64 beta 2) (*.f64 (pow.f64 (+.f64 2 (fma.f64 2 i beta)) 2) (pow.f64 (fma.f64 2 i beta) 2)))))) (fma.f64 alpha (-.f64 (*.f64 0 (/.f64 beta (*.f64 (+.f64 2 (fma.f64 2 i beta)) (fma.f64 2 i beta)))) (*.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (fma.f64 2 i beta) 2)) (/.f64 (+.f64 2 (fma.f64 2 beta (*.f64 i 4))) (pow.f64 (+.f64 2 (fma.f64 2 i beta)) 2)))) (/.f64 (pow.f64 beta 2) (*.f64 (+.f64 2 (fma.f64 2 i beta)) (fma.f64 2 i beta))))))
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2
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2
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1
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1
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(/.f64 (pow.f64 beta 2) (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i))))
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-1
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-1
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(+.f64 1 (-.f64 (+.f64 (fma.f64 2 (/.f64 i beta) (/.f64 alpha beta)) (+.f64 (/.f64 alpha (/.f64 (pow.f64 beta 2) (-.f64 (fma.f64 2 i alpha) (neg.f64 alpha)))) (/.f64 (pow.f64 alpha 2) (/.f64 (pow.f64 beta 3) (-.f64 (fma.f64 2 i alpha) (neg.f64 alpha)))))) (/.f64 (neg.f64 alpha) beta)))
(/.f64 beta (+.f64 2 (+.f64 alpha (*.f64 2 i))))
(/.f64 beta (+.f64 2 (fma.f64 2 i alpha)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) 2))) (/.f64 beta (+.f64 2 (+.f64 alpha (*.f64 2 i)))))
(fma.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 (fma.f64 2 i alpha)) 2)) (/.f64 beta (+.f64 2 (fma.f64 2 i alpha))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) 2))) (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha (*.f64 2 i)))) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) 3))))
(+.f64 (fma.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 (fma.f64 2 i alpha)) 2)) (/.f64 beta (+.f64 2 (fma.f64 2 i alpha)))) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 (fma.f64 2 i alpha)) 3)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 4) (pow.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) 4))) (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha (*.f64 2 i)))) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) 3)))))
(fma.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 (fma.f64 2 i alpha)) 2)) (fma.f64 -1 (/.f64 (pow.f64 beta 4) (pow.f64 (+.f64 2 (fma.f64 2 i alpha)) 4)) (+.f64 (/.f64 beta (+.f64 2 (fma.f64 2 i alpha))) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 (fma.f64 2 i alpha)) 3)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) beta)))
(+.f64 1 (/.f64 (-.f64 -2 (fma.f64 2 i alpha)) beta))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) beta)) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) 2) (pow.f64 beta 2))))
(+.f64 1 (+.f64 (/.f64 (-.f64 -2 (fma.f64 2 i alpha)) beta) (/.f64 (pow.f64 (+.f64 2 (fma.f64 2 i alpha)) 2) (pow.f64 beta 2))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) beta)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) 3) (pow.f64 beta 3))) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) 2) (pow.f64 beta 2)))))
(+.f64 (+.f64 1 (/.f64 (-.f64 -2 (fma.f64 2 i alpha)) beta)) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 (fma.f64 2 i alpha)) 3) (pow.f64 beta 3)) (/.f64 (pow.f64 (+.f64 2 (fma.f64 2 i alpha)) 2) (pow.f64 beta 2))))
(+.f64 (+.f64 1 (/.f64 (-.f64 -2 (fma.f64 2 i alpha)) beta)) (+.f64 (/.f64 (pow.f64 (+.f64 2 (fma.f64 2 i alpha)) 2) (pow.f64 beta 2)) (/.f64 (pow.f64 (-.f64 -2 (fma.f64 2 i alpha)) 3) (pow.f64 beta 3))))
1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) beta)))
(+.f64 1 (/.f64 (-.f64 -2 (fma.f64 2 i alpha)) beta))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) beta)) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) 2) (pow.f64 beta 2))))
(+.f64 1 (+.f64 (/.f64 (-.f64 -2 (fma.f64 2 i alpha)) beta) (/.f64 (pow.f64 (+.f64 2 (fma.f64 2 i alpha)) 2) (pow.f64 beta 2))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) beta)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) 3) (pow.f64 beta 3))) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) 2) (pow.f64 beta 2)))))
(+.f64 (+.f64 1 (/.f64 (-.f64 -2 (fma.f64 2 i alpha)) beta)) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 (fma.f64 2 i alpha)) 3) (pow.f64 beta 3)) (/.f64 (pow.f64 (+.f64 2 (fma.f64 2 i alpha)) 2) (pow.f64 beta 2))))
(+.f64 (+.f64 1 (/.f64 (-.f64 -2 (fma.f64 2 i alpha)) beta)) (+.f64 (/.f64 (pow.f64 (+.f64 2 (fma.f64 2 i alpha)) 2) (pow.f64 beta 2)) (/.f64 (pow.f64 (-.f64 -2 (fma.f64 2 i alpha)) 3) (pow.f64 beta 3))))
(/.f64 beta (+.f64 2 (+.f64 beta (*.f64 2 i))))
(/.f64 beta (+.f64 2 (fma.f64 2 i beta)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) 2))) (/.f64 beta (+.f64 2 (+.f64 beta (*.f64 2 i)))))
(fma.f64 -1 (/.f64 alpha (/.f64 (pow.f64 (+.f64 2 (fma.f64 2 i beta)) 2) beta)) (/.f64 beta (+.f64 2 (fma.f64 2 i beta))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) 2))) (+.f64 (/.f64 beta (+.f64 2 (+.f64 beta (*.f64 2 i)))) (/.f64 (*.f64 (pow.f64 alpha 2) beta) (pow.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) 3))))
(+.f64 (fma.f64 -1 (/.f64 alpha (/.f64 (pow.f64 (+.f64 2 (fma.f64 2 i beta)) 2) beta)) (/.f64 beta (+.f64 2 (fma.f64 2 i beta)))) (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 2 (fma.f64 2 i beta)) 3)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 alpha 3) beta) (pow.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) 4))) (+.f64 (/.f64 beta (+.f64 2 (+.f64 beta (*.f64 2 i)))) (/.f64 (*.f64 (pow.f64 alpha 2) beta) (pow.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) 3)))))
(fma.f64 -1 (/.f64 alpha (/.f64 (pow.f64 (+.f64 2 (fma.f64 2 i beta)) 2) beta)) (fma.f64 -1 (/.f64 (*.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 (fma.f64 2 i beta)) 4)) (+.f64 (/.f64 beta (+.f64 2 (fma.f64 2 i beta))) (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 2 (fma.f64 2 i beta)) 3)))))
(/.f64 beta alpha)
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 (+.f64 beta (*.f64 2 i)))) (pow.f64 alpha 2))) (/.f64 beta alpha))
(fma.f64 -1 (/.f64 beta (/.f64 (pow.f64 alpha 2) (+.f64 2 (fma.f64 2 i beta)))) (/.f64 beta alpha))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 (+.f64 beta (*.f64 2 i)))) (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) 2)) (pow.f64 alpha 3))))
(+.f64 (fma.f64 -1 (/.f64 beta (/.f64 (pow.f64 alpha 2) (+.f64 2 (fma.f64 2 i beta)))) (/.f64 beta alpha)) (/.f64 beta (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 (fma.f64 2 i beta)) 2))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 (+.f64 beta (*.f64 2 i)))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) 3)) (pow.f64 alpha 4))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) 2)) (pow.f64 alpha 3)))))
(fma.f64 -1 (/.f64 beta (/.f64 (pow.f64 alpha 2) (+.f64 2 (fma.f64 2 i beta)))) (fma.f64 -1 (/.f64 beta (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 2 (fma.f64 2 i beta)) 3))) (+.f64 (/.f64 beta alpha) (/.f64 beta (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 (fma.f64 2 i beta)) 2))))))
(/.f64 beta alpha)
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 (+.f64 beta (*.f64 2 i)))) (pow.f64 alpha 2))) (/.f64 beta alpha))
(fma.f64 -1 (/.f64 beta (/.f64 (pow.f64 alpha 2) (+.f64 2 (fma.f64 2 i beta)))) (/.f64 beta alpha))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 (+.f64 beta (*.f64 2 i)))) (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) 2)) (pow.f64 alpha 3))))
(+.f64 (fma.f64 -1 (/.f64 beta (/.f64 (pow.f64 alpha 2) (+.f64 2 (fma.f64 2 i beta)))) (/.f64 beta alpha)) (/.f64 beta (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 (fma.f64 2 i beta)) 2))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 (+.f64 beta (*.f64 2 i)))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) 3)) (pow.f64 alpha 4))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) 2)) (pow.f64 alpha 3)))))
(fma.f64 -1 (/.f64 beta (/.f64 (pow.f64 alpha 2) (+.f64 2 (fma.f64 2 i beta)))) (fma.f64 -1 (/.f64 beta (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 2 (fma.f64 2 i beta)) 3))) (+.f64 (/.f64 beta alpha) (/.f64 beta (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 (fma.f64 2 i beta)) 2))))))
(/.f64 beta (+.f64 2 (+.f64 alpha beta)))
(/.f64 beta (+.f64 2 (+.f64 beta alpha)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 beta i) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2))) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))
(fma.f64 -2 (/.f64 (*.f64 beta i) (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2)) (/.f64 beta (+.f64 2 (+.f64 beta alpha))))
(+.f64 (*.f64 -2 (/.f64 (*.f64 beta i) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2))) (+.f64 (*.f64 4 (/.f64 (*.f64 beta (pow.f64 i 2)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 3))) (/.f64 beta (+.f64 2 (+.f64 alpha beta)))))
(fma.f64 -2 (/.f64 (*.f64 beta i) (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2)) (fma.f64 4 (/.f64 (*.f64 beta (pow.f64 i 2)) (pow.f64 (+.f64 2 (+.f64 beta alpha)) 3)) (/.f64 beta (+.f64 2 (+.f64 beta alpha)))))
(+.f64 (*.f64 -8 (/.f64 (*.f64 beta (pow.f64 i 3)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 4))) (+.f64 (*.f64 -2 (/.f64 (*.f64 beta i) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2))) (+.f64 (*.f64 4 (/.f64 (*.f64 beta (pow.f64 i 2)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 3))) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))))
(fma.f64 -8 (/.f64 beta (/.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 4) (pow.f64 i 3))) (fma.f64 -2 (/.f64 (*.f64 beta i) (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2)) (fma.f64 4 (/.f64 (*.f64 beta (pow.f64 i 2)) (pow.f64 (+.f64 2 (+.f64 beta alpha)) 3)) (/.f64 beta (+.f64 2 (+.f64 beta alpha))))))
(*.f64 1/2 (/.f64 beta i))
(/.f64 (*.f64 1/2 beta) i)
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 beta (+.f64 2 (+.f64 alpha beta))) (pow.f64 i 2))) (*.f64 1/2 (/.f64 beta i)))
(fma.f64 -1/4 (/.f64 beta (/.f64 (pow.f64 i 2) (+.f64 2 (+.f64 beta alpha)))) (/.f64 (*.f64 1/2 beta) i))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 beta (+.f64 2 (+.f64 alpha beta))) (pow.f64 i 2))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (pow.f64 i 3))) (*.f64 1/2 (/.f64 beta i))))
(fma.f64 -1/4 (/.f64 beta (/.f64 (pow.f64 i 2) (+.f64 2 (+.f64 beta alpha)))) (fma.f64 1/8 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2)) (pow.f64 i 3)) (/.f64 (*.f64 1/2 beta) i)))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 beta (+.f64 2 (+.f64 alpha beta))) (pow.f64 i 2))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 (+.f64 alpha beta)) 3)) (pow.f64 i 4))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (pow.f64 i 3))) (*.f64 1/2 (/.f64 beta i)))))
(fma.f64 -1/4 (/.f64 beta (/.f64 (pow.f64 i 2) (+.f64 2 (+.f64 beta alpha)))) (fma.f64 -1/16 (/.f64 beta (/.f64 (pow.f64 i 4) (pow.f64 (+.f64 2 (+.f64 beta alpha)) 3))) (fma.f64 1/8 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2)) (pow.f64 i 3)) (/.f64 (*.f64 1/2 beta) i))))
(*.f64 1/2 (/.f64 beta i))
(/.f64 (*.f64 1/2 beta) i)
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 beta (+.f64 2 (+.f64 alpha beta))) (pow.f64 i 2))) (*.f64 1/2 (/.f64 beta i)))
(fma.f64 -1/4 (/.f64 beta (/.f64 (pow.f64 i 2) (+.f64 2 (+.f64 beta alpha)))) (/.f64 (*.f64 1/2 beta) i))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 beta (+.f64 2 (+.f64 alpha beta))) (pow.f64 i 2))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (pow.f64 i 3))) (*.f64 1/2 (/.f64 beta i))))
(fma.f64 -1/4 (/.f64 beta (/.f64 (pow.f64 i 2) (+.f64 2 (+.f64 beta alpha)))) (fma.f64 1/8 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2)) (pow.f64 i 3)) (/.f64 (*.f64 1/2 beta) i)))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 beta (+.f64 2 (+.f64 alpha beta))) (pow.f64 i 2))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 (+.f64 alpha beta)) 3)) (pow.f64 i 4))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (pow.f64 i 3))) (*.f64 1/2 (/.f64 beta i)))))
(fma.f64 -1/4 (/.f64 beta (/.f64 (pow.f64 i 2) (+.f64 2 (+.f64 beta alpha)))) (fma.f64 -1/16 (/.f64 beta (/.f64 (pow.f64 i 4) (pow.f64 (+.f64 2 (+.f64 beta alpha)) 3))) (fma.f64 1/8 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2)) (pow.f64 i 3)) (/.f64 (*.f64 1/2 beta) i))))
(+.f64 2 (+.f64 beta (*.f64 2 i)))
(+.f64 2 (fma.f64 2 i beta))
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
(+.f64 2 (+.f64 alpha (fma.f64 2 i beta)))
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
(+.f64 2 (+.f64 alpha (fma.f64 2 i beta)))
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
(+.f64 2 (+.f64 alpha (fma.f64 2 i beta)))
alpha
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
(+.f64 2 (+.f64 alpha (fma.f64 2 i beta)))
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
(+.f64 2 (+.f64 alpha (fma.f64 2 i beta)))
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
(+.f64 2 (+.f64 alpha (fma.f64 2 i beta)))
alpha
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
(+.f64 2 (+.f64 alpha (fma.f64 2 i beta)))
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
(+.f64 2 (+.f64 alpha (fma.f64 2 i beta)))
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
(+.f64 2 (+.f64 alpha (fma.f64 2 i beta)))
(+.f64 2 (+.f64 alpha (*.f64 2 i)))
(+.f64 2 (fma.f64 2 i alpha))
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
(+.f64 2 (+.f64 alpha (fma.f64 2 i beta)))
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
(+.f64 2 (+.f64 alpha (fma.f64 2 i beta)))
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
(+.f64 2 (+.f64 alpha (fma.f64 2 i beta)))
beta
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
(+.f64 2 (+.f64 alpha (fma.f64 2 i beta)))
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
(+.f64 2 (+.f64 alpha (fma.f64 2 i beta)))
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
(+.f64 2 (+.f64 alpha (fma.f64 2 i beta)))
beta
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
(+.f64 2 (+.f64 alpha (fma.f64 2 i beta)))
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
(+.f64 2 (+.f64 alpha (fma.f64 2 i beta)))
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
(+.f64 2 (+.f64 alpha (fma.f64 2 i beta)))
(+.f64 2 (+.f64 alpha beta))
(+.f64 2 (+.f64 beta alpha))
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
(+.f64 2 (+.f64 alpha (fma.f64 2 i beta)))
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
(+.f64 2 (+.f64 alpha (fma.f64 2 i beta)))
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
(+.f64 2 (+.f64 alpha (fma.f64 2 i beta)))
(*.f64 2 i)
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
(+.f64 2 (+.f64 alpha (fma.f64 2 i beta)))
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
(+.f64 2 (+.f64 alpha (fma.f64 2 i beta)))
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
(+.f64 2 (+.f64 alpha (fma.f64 2 i beta)))
(*.f64 2 i)
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
(+.f64 2 (+.f64 alpha (fma.f64 2 i beta)))
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
(+.f64 2 (+.f64 alpha (fma.f64 2 i beta)))
(+.f64 2 (+.f64 alpha (+.f64 beta (*.f64 2 i))))
(+.f64 2 (+.f64 alpha (fma.f64 2 i beta)))
1
(+.f64 1 (/.f64 beta (+.f64 2 (+.f64 alpha (*.f64 2 i)))))
(+.f64 1 (/.f64 beta (+.f64 2 (fma.f64 2 i alpha))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) 2))) (/.f64 beta (+.f64 2 (+.f64 alpha (*.f64 2 i))))))
(+.f64 1 (fma.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 (fma.f64 2 i alpha)) 2)) (/.f64 beta (+.f64 2 (fma.f64 2 i alpha)))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) 2))) (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha (*.f64 2 i)))) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) 3)))))
(+.f64 1 (+.f64 (fma.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 (fma.f64 2 i alpha)) 2)) (/.f64 beta (+.f64 2 (fma.f64 2 i alpha)))) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 (fma.f64 2 i alpha)) 3))))
2
(+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) beta)))
(+.f64 2 (/.f64 (-.f64 -2 (fma.f64 2 i alpha)) beta))
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) beta)) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) 2) (pow.f64 beta 2))))
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(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) beta)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) 3) (pow.f64 beta 3))) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) 2) (pow.f64 beta 2)))))
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2
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(+.f64 (-.f64 (neg.f64 alpha) (fma.f64 2 i alpha)) (+.f64 (neg.f64 (fma.f64 2 i alpha)) (fma.f64 2 i alpha)))
(+.f64 (fma.f64 (sqrt.f64 (neg.f64 alpha)) (sqrt.f64 (neg.f64 alpha)) (neg.f64 (*.f64 (cbrt.f64 (fma.f64 2 i alpha)) (pow.f64 (cbrt.f64 (fma.f64 2 i alpha)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 2 i alpha))) (pow.f64 (cbrt.f64 (fma.f64 2 i alpha)) 2) (*.f64 (cbrt.f64 (fma.f64 2 i alpha)) (pow.f64 (cbrt.f64 (fma.f64 2 i alpha)) 2))))
(+.f64 (-.f64 (neg.f64 alpha) (fma.f64 2 i alpha)) (+.f64 (neg.f64 (fma.f64 2 i alpha)) (fma.f64 2 i alpha)))
(*.f64 1 (-.f64 (neg.f64 alpha) (fma.f64 2 i alpha)))
(-.f64 (neg.f64 alpha) (fma.f64 2 i alpha))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (neg.f64 alpha) (fma.f64 2 i alpha)) 2)) (cbrt.f64 (-.f64 (neg.f64 alpha) (fma.f64 2 i alpha))))
(*.f64 (cbrt.f64 (-.f64 (neg.f64 alpha) (fma.f64 2 i alpha))) (cbrt.f64 (pow.f64 (-.f64 (neg.f64 alpha) (fma.f64 2 i alpha)) 2)))
(*.f64 (sqrt.f64 (-.f64 (neg.f64 alpha) (fma.f64 2 i alpha))) (sqrt.f64 (-.f64 (neg.f64 alpha) (fma.f64 2 i alpha))))
(-.f64 (neg.f64 alpha) (fma.f64 2 i alpha))
(/.f64 (-.f64 (pow.f64 (neg.f64 alpha) 3) (pow.f64 (fma.f64 2 i alpha) 3)) (+.f64 (pow.f64 (neg.f64 alpha) 2) (+.f64 (pow.f64 (fma.f64 2 i alpha) 2) (*.f64 (neg.f64 alpha) (fma.f64 2 i alpha)))))
(/.f64 (-.f64 (neg.f64 (pow.f64 alpha 3)) (pow.f64 (fma.f64 2 i alpha) 3)) (+.f64 (pow.f64 (neg.f64 alpha) 2) (+.f64 (pow.f64 (fma.f64 2 i alpha) 2) (*.f64 (neg.f64 alpha) (fma.f64 2 i alpha)))))
(/.f64 (-.f64 (neg.f64 (pow.f64 alpha 3)) (pow.f64 (fma.f64 2 i alpha) 3)) (+.f64 (pow.f64 alpha 2) (+.f64 (pow.f64 (fma.f64 2 i alpha) 2) (*.f64 (neg.f64 alpha) (fma.f64 2 i alpha)))))
(/.f64 (-.f64 (pow.f64 (neg.f64 alpha) 2) (pow.f64 (fma.f64 2 i alpha) 2)) (fma.f64 -1 alpha (fma.f64 2 i alpha)))
(/.f64 (-.f64 (pow.f64 alpha 2) (pow.f64 (fma.f64 2 i alpha) 2)) (fma.f64 -1 alpha (fma.f64 2 i alpha)))
(pow.f64 (-.f64 (neg.f64 alpha) (fma.f64 2 i alpha)) 1)
(-.f64 (neg.f64 alpha) (fma.f64 2 i alpha))
(pow.f64 (cbrt.f64 (-.f64 (neg.f64 alpha) (fma.f64 2 i alpha))) 3)
(-.f64 (neg.f64 alpha) (fma.f64 2 i alpha))
(pow.f64 (pow.f64 (-.f64 (neg.f64 alpha) (fma.f64 2 i alpha)) 3) 1/3)
(-.f64 (neg.f64 alpha) (fma.f64 2 i alpha))
(pow.f64 (sqrt.f64 (-.f64 (neg.f64 alpha) (fma.f64 2 i alpha))) 2)
(-.f64 (neg.f64 alpha) (fma.f64 2 i alpha))
(log.f64 (exp.f64 (-.f64 (neg.f64 alpha) (fma.f64 2 i alpha))))
(-.f64 (neg.f64 alpha) (fma.f64 2 i alpha))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (neg.f64 alpha) (fma.f64 2 i alpha)))))
(-.f64 (neg.f64 alpha) (fma.f64 2 i alpha))
(cbrt.f64 (pow.f64 (-.f64 (neg.f64 alpha) (fma.f64 2 i alpha)) 3))
(-.f64 (neg.f64 alpha) (fma.f64 2 i alpha))
(expm1.f64 (log1p.f64 (-.f64 (neg.f64 alpha) (fma.f64 2 i alpha))))
(-.f64 (neg.f64 alpha) (fma.f64 2 i alpha))
(exp.f64 (log.f64 (-.f64 (neg.f64 alpha) (fma.f64 2 i alpha))))
(-.f64 (neg.f64 alpha) (fma.f64 2 i alpha))
(exp.f64 (*.f64 (log.f64 (-.f64 (neg.f64 alpha) (fma.f64 2 i alpha))) 1))
(-.f64 (neg.f64 alpha) (fma.f64 2 i alpha))
(log1p.f64 (expm1.f64 (-.f64 (neg.f64 alpha) (fma.f64 2 i alpha))))
(-.f64 (neg.f64 alpha) (fma.f64 2 i alpha))
(fma.f64 1 (neg.f64 alpha) (neg.f64 (fma.f64 2 i alpha)))
(fma.f64 -1 alpha (neg.f64 (fma.f64 2 i alpha)))
(-.f64 (neg.f64 alpha) (fma.f64 2 i alpha))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 alpha)) 2) (cbrt.f64 (neg.f64 alpha)) (neg.f64 (fma.f64 2 i alpha)))
(-.f64 (neg.f64 alpha) (fma.f64 2 i alpha))
(fma.f64 (sqrt.f64 (neg.f64 alpha)) (sqrt.f64 (neg.f64 alpha)) (neg.f64 (fma.f64 2 i alpha)))
(-.f64 (neg.f64 alpha) (fma.f64 2 i alpha))

eval1.6s (7.1%)

Compiler

Compiled 88522 to 62939 computations (28.9% saved)

prune282.0ms (1.2%)

Pruning

21 alts after pruning (20 fresh and 1 done)

PrunedKeptTotal
New76612778
Fresh2810
Picked415
Done000
Total77221793
Accuracy
99.8%
Counts
793 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
83.3%
(/.f64 (fma.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (fma.f64 2 i beta))) (-.f64 beta alpha)) (/.f64 1 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) 1) 2)
70.7%
(/.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 1 (/.f64 (+.f64 beta alpha) (/.f64 (*.f64 (+.f64 alpha (fma.f64 2 i beta)) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (-.f64 beta alpha)))) 6) 1/6) 3) 1/3) 2)
70.7%
(/.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (+.f64 beta alpha) (/.f64 (*.f64 (+.f64 alpha (fma.f64 2 i beta)) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (-.f64 beta alpha))) 3)) (-.f64 (+.f64 1 (pow.f64 (/.f64 (+.f64 beta alpha) (/.f64 (*.f64 (+.f64 alpha (fma.f64 2 i beta)) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (-.f64 beta alpha))) 2)) (/.f64 (+.f64 beta alpha) (/.f64 (*.f64 (+.f64 alpha (fma.f64 2 i beta)) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (-.f64 beta alpha))))) 3) 1/3) 2)
69.3%
(/.f64 (pow.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))) 3) 1/3) 2)
16.1%
(/.f64 (/.f64 (-.f64 (+.f64 beta 2) (neg.f64 beta)) alpha) 2)
17.4%
(/.f64 (/.f64 (-.f64 (+.f64 2 (*.f64 2 i)) (*.f64 -2 i)) alpha) 2)
83.4%
(/.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 (fma.f64 2 i beta) alpha) (-.f64 beta alpha))) 3)) (+.f64 (pow.f64 (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 (fma.f64 2 i beta) alpha) (-.f64 beta alpha))) 2) (-.f64 1 (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 (fma.f64 2 i beta) alpha) (-.f64 beta alpha)))))) 2)
8.5%
(/.f64 (/.f64 (*.f64 i 4) alpha) 2)
7.1%
(/.f64 (/.f64 (*.f64 beta 2) alpha) 2)
16.3%
(/.f64 (-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 i)) (+.f64 2 (+.f64 beta (*.f64 2 i)))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 i)) (-.f64 beta (*.f64 -1 (+.f64 beta (*.f64 2 i))))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta (*.f64 2 i)) (-.f64 beta (*.f64 -1 (+.f64 beta (*.f64 2 i))))) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 i alpha)) (+.f64 (*.f64 2 (/.f64 1 alpha)) (/.f64 beta alpha)))))) (*.f64 -1 (/.f64 (+.f64 beta (*.f64 2 i)) alpha))) 2)
15.1%
(/.f64 (-.f64 (+.f64 (*.f64 -1 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (*.f64 (+.f64 beta (*.f64 2 i)) (-.f64 (+.f64 beta (*.f64 -1 beta)) (*.f64 -1 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))))))) (*.f64 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))) (-.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1 (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i)))) (*.f64 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))) (-.f64 (+.f64 beta (*.f64 -1 beta)) (*.f64 -1 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i)))))))))) (pow.f64 alpha 3))) (+.f64 (/.f64 beta alpha) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))) alpha)) (/.f64 (*.f64 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))) (-.f64 (+.f64 beta (*.f64 -1 beta)) (*.f64 -1 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i)))))) (pow.f64 alpha 2))))) 2)
69.3%
(/.f64 (-.f64 (+.f64 1 (/.f64 beta (+.f64 2 (+.f64 alpha beta)))) (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) 2)
28.1%
(/.f64 (-.f64 2 (/.f64 (*.f64 2 alpha) beta)) 2)
25.3%
(/.f64 (-.f64 2 (*.f64 4 (/.f64 i beta))) 2)
52.3%
(/.f64 (+.f64 (/.f64 (/.f64 (+.f64 alpha beta) (*.f64 2 (/.f64 i (-.f64 beta alpha)))) (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 2 i) 2))) 1) 2)
69.3%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1) 2)
49.6%
(/.f64 (+.f64 (/.f64 (*.f64 1/2 beta) i) 1) 2)
74.7%
(/.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) 1) 2)
18.6%
(/.f64 (exp.f64 (log.f64 (/.f64 (+.f64 (+.f64 2 (fma.f64 2 i beta)) (fma.f64 2 i beta)) alpha))) 2)
33.3%
(/.f64 2 2)
64.2%
(/.f64 1 2)
Compiler

Compiled 1466 to 1046 computations (28.6% saved)

localize946.0ms (4.1%)

Localize:

Found 12 expressions with local error:

NewAccuracyProgram
100.0%
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))
99.8%
(pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))) 3)
84.7%
(pow.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))) 3) 1/3)
77.1%
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))))
100.0%
(+.f64 2 (+.f64 beta alpha))
100.0%
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))
77.1%
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1)
100.0%
(*.f64 4 (/.f64 i beta))
99.6%
(/.f64 (+.f64 (fma.f64 2 i beta) alpha) (-.f64 beta alpha))
99.5%
(/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2)))
83.6%
(+.f64 1 (pow.f64 (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 (fma.f64 2 i beta) alpha) (-.f64 beta alpha))) 3))
80.5%
(-.f64 1 (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 (fma.f64 2 i beta) alpha) (-.f64 beta alpha))))
Compiler

Compiled 558 to 276 computations (50.5% saved)

series197.0ms (0.9%)

Counts
12 → 312
Calls

84 calls:

TimeVariablePointExpression
23.0ms
alpha
@-inf
(pow.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))) 3) 1/3)
16.0ms
alpha
@-inf
(+.f64 1 (pow.f64 (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 (fma.f64 2 i beta) alpha) (-.f64 beta alpha))) 3))
14.0ms
alpha
@0
(+.f64 1 (pow.f64 (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 (fma.f64 2 i beta) alpha) (-.f64 beta alpha))) 3))
13.0ms
beta
@0
(+.f64 1 (pow.f64 (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 (fma.f64 2 i beta) alpha) (-.f64 beta alpha))) 3))
12.0ms
alpha
@inf
(+.f64 1 (pow.f64 (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 (fma.f64 2 i beta) alpha) (-.f64 beta alpha))) 3))

rewrite165.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
276×log1p-expm1-u
275×expm1-log1p-u
273×add-cube-cbrt
268×pow1
267×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035588
1602588
Stop Event
node limit
Counts
12 → 364
Calls
Call 1
Inputs
(-.f64 1 (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 (fma.f64 2 i beta) alpha) (-.f64 beta alpha))))
(+.f64 1 (pow.f64 (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 (fma.f64 2 i beta) alpha) (-.f64 beta alpha))) 3))
(/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2)))
(/.f64 (+.f64 (fma.f64 2 i beta) alpha) (-.f64 beta alpha))
(*.f64 4 (/.f64 i beta))
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1)
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))
(+.f64 2 (+.f64 beta alpha))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))))
(pow.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))) 3) 1/3)
(pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))) 3)
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))
Outputs
(+.f64 1 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (neg.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))))
(*.f64 1 (-.f64 1 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))) 2)) (cbrt.f64 (-.f64 1 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))))))
(*.f64 (sqrt.f64 (-.f64 1 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))))) (sqrt.f64 (-.f64 1 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))))))
(*.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 3)) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 2) (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))))))
(*.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 2)) (/.f64 1 (+.f64 1 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (pow.f64 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 2) (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))))) (-.f64 1 (pow.f64 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 3))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))) (-.f64 1 (pow.f64 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 2))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 3)) (+.f64 1 (+.f64 (pow.f64 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 2) (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 2)) (+.f64 1 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 3))) (neg.f64 (+.f64 1 (+.f64 (pow.f64 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 2) (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 2))) (neg.f64 (+.f64 1 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))))))
(/.f64 (+.f64 1 (pow.f64 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (neg.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))) 3)) (+.f64 1 (-.f64 (*.f64 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (neg.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))) (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (neg.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))))) (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (neg.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))))))
(/.f64 (-.f64 1 (*.f64 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (neg.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))) (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (neg.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))))) (-.f64 1 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (neg.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))))))
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(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) 2) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)))) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) 3))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)))) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) 3) 1)))
(/.f64 1 (/.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) 2))))
(/.f64 1 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) -1) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) 2) -1)))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) 2) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) 3) 1) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) 2) -1) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) -1))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) 2) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) 3) 1)) (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) 2))) (neg.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) 2) -1)) (neg.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) -1)))
(pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))) 1)
(pow.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))) 6) 1/6)
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)))) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))) 2))
(log.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))))))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)))))
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)))))
(fma.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) 1)
(fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 (+.f64 2 beta) alpha)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))) 2) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))) 1)
(fma.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))) 1)
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)))
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) 1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))))) 1)
(-.f64 (/.f64 1 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)))) (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)))))
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) 2) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) -1)) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) -1)))
(*.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))))
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)))) 2))
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)))) (pow.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)))) 2) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)))))
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)))) (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)))))
(*.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) 2) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))))))
(*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) 3) 1) (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) 2)) (/.f64 1 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)))))
(*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) 2) -1) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) -1)))
(*.f64 (pow.f64 1 1/3) (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))) 2) 1/3) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)))))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))) 3/2) 1/3) (pow.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))) 3/2) 1/3))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) 2) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)))) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) 3))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)))) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) 3) 1)))
(/.f64 1 (/.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) 2))))
(/.f64 1 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) -1) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) 2) -1)))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) 2) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) 3) 1) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) 2) -1) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) -1))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) 2) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) 3) 1)) (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) 2))) (neg.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) 2) -1)) (neg.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) -1)))
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))) 2))
(log.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))))))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)))))
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)))))
(fma.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) 1)
(fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 (+.f64 2 beta) alpha)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))) 2) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))) 1)
(fma.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))) 1)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))) 3))) 1)
(*.f64 1 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))) 3))
(*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))) (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))) 2))
(*.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))) 2) (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))))
(*.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))) 3/2) (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)))) 2) 3) (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)))) 3) (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)))) 3))
(/.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) 3)) 3) (pow.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) 2) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)))) 3))
(/.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) 3) 1) 3) (pow.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)))) 3))
(/.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) 2)) 3) (pow.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))) 3))
(/.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) 2) -1) 3) (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) -1) 3))
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))) 6))
(log.f64 (exp.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))) 3)))
(exp.f64 (*.f64 3 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)))))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))) 3)))
(+.f64 (/.f64 beta (+.f64 (+.f64 2 beta) alpha)) (neg.f64 (/.f64 alpha (+.f64 (+.f64 2 beta) alpha))))
(-.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))) 1)
(-.f64 (/.f64 beta (+.f64 (+.f64 2 beta) alpha)) (/.f64 alpha (+.f64 (+.f64 2 beta) alpha)))
(*.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)))
(*.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 (+.f64 2 beta) alpha)))
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) 1)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))) 2) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))))
(*.f64 (neg.f64 (-.f64 beta alpha)) (/.f64 1 (neg.f64 (+.f64 (+.f64 2 beta) alpha))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (+.f64 2 beta) alpha)) 2)) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 (+.f64 2 beta) alpha))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (+.f64 2 beta) alpha))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 (+.f64 2 beta) alpha))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 beta alpha) 2)) 1) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 (+.f64 2 beta) alpha)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 beta alpha) 2)) (pow.f64 (cbrt.f64 (+.f64 (+.f64 2 beta) alpha)) 2)) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 beta alpha) 2)) (sqrt.f64 (+.f64 (+.f64 2 beta) alpha))) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (sqrt.f64 (+.f64 (+.f64 2 beta) alpha))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) 1) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (+.f64 (+.f64 2 beta) alpha)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (pow.f64 (cbrt.f64 (+.f64 (+.f64 2 beta) alpha)) 2)) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (cbrt.f64 (+.f64 (+.f64 2 beta) alpha))))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) 1)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))) 3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))) 2)
(pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) 3) 1/3)
(pow.f64 (/.f64 (+.f64 (+.f64 2 beta) alpha) (-.f64 beta alpha)) -1)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) 3))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))))
(exp.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))))

simplify647.0ms (2.8%)

Algorithm
egg-herbie
Rules
1356×*-commutative
1290×+-commutative
882×fma-def
706×associate-+r+
464×associate-*r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02335130578
Stop Event
node limit
Counts
676 → 733
Calls
Call 1
Inputs
(-.f64 1 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (*.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) (+.f64 alpha (*.f64 2 i))))))
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(/.f64 (-.f64 (+.f64 2 (+.f64 (*.f64 2 alpha) (*.f64 4 i))) (+.f64 alpha (*.f64 -1 alpha))) beta)
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2
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2
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1
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1
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1
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1
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1
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1
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(/.f64 (+.f64 alpha beta) (-.f64 beta alpha))
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1
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1
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(/.f64 (+.f64 beta (*.f64 2 i)) beta)
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-1
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-1
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2
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2
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(-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(+.f64 1 (/.f64 beta (+.f64 2 beta)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (+.f64 (*.f64 (pow.f64 alpha 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 3))))) (/.f64 beta (+.f64 2 beta)))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))) (+.f64 (*.f64 (pow.f64 alpha 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 3))))) (/.f64 beta (+.f64 2 beta))))))
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))) (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 2 (/.f64 1 alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3))) (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 2 (/.f64 1 alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3))) (+.f64 (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2)) (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 3)) (pow.f64 alpha 4)))))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 3)) (pow.f64 (+.f64 2 beta) 4)) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3))))))
(*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))
(+.f64 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))))
(+.f64 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (+.f64 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))))
(+.f64 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (+.f64 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 3) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))))))))
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha beta))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha beta))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(/.f64 beta (+.f64 2 beta))
(+.f64 (*.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta)))
(+.f64 (*.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (+.f64 (/.f64 beta (+.f64 2 beta)) (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (+.f64 2 beta))))
(+.f64 (*.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))) (+.f64 (/.f64 beta (+.f64 2 beta)) (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (+.f64 2 beta)))))
-1
(-.f64 (/.f64 beta alpha) (+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 beta) alpha))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 beta) (-.f64 beta (*.f64 -1 (+.f64 2 beta)))) (pow.f64 alpha 2))) (/.f64 beta alpha)) (+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 beta) alpha))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 beta) (-.f64 beta (*.f64 -1 (+.f64 2 beta)))) (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 (pow.f64 (+.f64 2 beta) 2) (-.f64 beta (*.f64 -1 (+.f64 2 beta)))) (pow.f64 alpha 3)))) (+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 beta) alpha))))
-1
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha)) (/.f64 (*.f64 (+.f64 2 beta) (-.f64 (*.f64 -1 beta) (+.f64 2 beta))) (pow.f64 alpha 2))) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 beta) 2) (-.f64 (*.f64 -1 beta) (+.f64 2 beta))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha)) (/.f64 (*.f64 (+.f64 2 beta) (-.f64 (*.f64 -1 beta) (+.f64 2 beta))) (pow.f64 alpha 2)))) 1)
(+.f64 2 alpha)
(+.f64 2 (+.f64 alpha beta))
(+.f64 2 (+.f64 alpha beta))
(+.f64 2 (+.f64 alpha beta))
beta
(+.f64 2 (+.f64 alpha beta))
(+.f64 2 (+.f64 alpha beta))
(+.f64 2 (+.f64 alpha beta))
beta
(+.f64 2 (+.f64 alpha beta))
(+.f64 2 (+.f64 alpha beta))
(+.f64 2 (+.f64 alpha beta))
(+.f64 2 beta)
(+.f64 2 (+.f64 alpha beta))
(+.f64 2 (+.f64 alpha beta))
(+.f64 2 (+.f64 alpha beta))
alpha
(+.f64 2 (+.f64 alpha beta))
(+.f64 2 (+.f64 alpha beta))
(+.f64 2 (+.f64 alpha beta))
alpha
(+.f64 2 (+.f64 alpha beta))
(+.f64 2 (+.f64 alpha beta))
(+.f64 2 (+.f64 alpha beta))
(-.f64 1 (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 1 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 1 (+.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 1 (+.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))))))) (/.f64 alpha (+.f64 2 alpha)))
2
(+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)))
(-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (*.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))))
2
(-.f64 (+.f64 2 (*.f64 -1 (/.f64 alpha beta))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(+.f64 1 (/.f64 beta (+.f64 2 beta)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (+.f64 (*.f64 (pow.f64 alpha 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 3))))) (/.f64 beta (+.f64 2 beta)))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))) (+.f64 (*.f64 (pow.f64 alpha 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 3))))) (/.f64 beta (+.f64 2 beta))))))
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))) (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 2 (/.f64 1 alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3))) (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 2 (/.f64 1 alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3))) (+.f64 (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2)) (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 3)) (pow.f64 alpha 4)))))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 3)) (pow.f64 (+.f64 2 beta) 4)) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3))))))
(-.f64 1 (/.f64 alpha (+.f64 2 alpha)))
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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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(pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 3)
(+.f64 (*.f64 beta (+.f64 (*.f64 2 (*.f64 (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2))) (*.f64 (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2)))) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 3))
(+.f64 (*.f64 beta (+.f64 (*.f64 2 (*.f64 (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2))) (*.f64 (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2)))) (+.f64 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 2 (*.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) 2) (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) (+.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))) (pow.f64 (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) 2)) (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))))) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 3)))
(+.f64 (*.f64 beta (+.f64 (*.f64 2 (*.f64 (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2))) (*.f64 (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2)))) (+.f64 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 2 (*.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) 2) (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) (+.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))) (pow.f64 (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) 2)) (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))))) (+.f64 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 2 (*.f64 (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (*.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))) (+.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 2 (*.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))) (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))))) (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))) (pow.f64 (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) 2)) (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2)))))) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 3))))
8
(+.f64 8 (+.f64 (*.f64 -8 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (*.f64 -4 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta))))
(+.f64 8 (+.f64 (*.f64 -8 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 (*.f64 -4 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 4 (-.f64 (*.f64 alpha (+.f64 2 alpha)) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2)) (pow.f64 beta 2))) (+.f64 (*.f64 4 (/.f64 (-.f64 (*.f64 alpha (+.f64 2 alpha)) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 beta 2))) (*.f64 4 (/.f64 (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2) (pow.f64 beta 2))))))))
(+.f64 8 (+.f64 (*.f64 -8 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 (*.f64 -4 (/.f64 (*.f64 (+.f64 2 (*.f64 2 alpha)) (-.f64 (*.f64 alpha (+.f64 2 alpha)) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 beta 3))) (+.f64 (*.f64 -4 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 alpha)) (+.f64 (*.f64 4 (-.f64 (*.f64 alpha (+.f64 2 alpha)) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2))) (pow.f64 beta 3))) (+.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 2 (*.f64 2 alpha)) (-.f64 (*.f64 alpha (+.f64 2 alpha)) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 4 (-.f64 (*.f64 -1 (*.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 (+.f64 2 alpha) 3)))) (pow.f64 beta 3))) (+.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 4 (-.f64 (*.f64 alpha (+.f64 2 alpha)) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2)) (pow.f64 beta 2))) (+.f64 (*.f64 4 (/.f64 (-.f64 (*.f64 -1 (*.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 beta 3))) (+.f64 (*.f64 4 (/.f64 (-.f64 (*.f64 alpha (+.f64 2 alpha)) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 beta 2))) (*.f64 4 (/.f64 (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2) (pow.f64 beta 2))))))))))))
8
(+.f64 8 (*.f64 -1 (/.f64 (+.f64 (*.f64 -8 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (*.f64 -4 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) beta)))
(+.f64 8 (+.f64 (*.f64 -4 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -8 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (*.f64 -4 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) beta)) (+.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -4 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)) (pow.f64 beta 2))) (*.f64 4 (/.f64 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2) (pow.f64 beta 2)))))))
(+.f64 8 (+.f64 (*.f64 -4 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -8 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (*.f64 -4 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) beta)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -4 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -4 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) (+.f64 (*.f64 2 (+.f64 (*.f64 -4 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) (*.f64 2 (*.f64 (+.f64 2 alpha) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2))))) (*.f64 4 (*.f64 (+.f64 2 alpha) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)))))) (pow.f64 beta 3))) (+.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -4 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)) (pow.f64 beta 2))) (*.f64 4 (/.f64 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2) (pow.f64 beta 2))))))))
(pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 3)
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1
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1
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(/.f64 beta (+.f64 2 beta))
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-1
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-1
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha)) 1)
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(*.f64 (neg.f64 (-.f64 beta alpha)) (/.f64 1 (neg.f64 (+.f64 (+.f64 2 beta) alpha))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (+.f64 2 beta) alpha)) 2)) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 (+.f64 2 beta) alpha))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (+.f64 2 beta) alpha))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 (+.f64 2 beta) alpha))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 beta alpha) 2)) 1) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 (+.f64 2 beta) alpha)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 beta alpha) 2)) (pow.f64 (cbrt.f64 (+.f64 (+.f64 2 beta) alpha)) 2)) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 beta alpha) 2)) (sqrt.f64 (+.f64 (+.f64 2 beta) alpha))) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (sqrt.f64 (+.f64 (+.f64 2 beta) alpha))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) 1) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (+.f64 (+.f64 2 beta) alpha)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (pow.f64 (cbrt.f64 (+.f64 (+.f64 2 beta) alpha)) 2)) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (cbrt.f64 (+.f64 (+.f64 2 beta) alpha))))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) 1)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))) 3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))) 2)
(pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) 3) 1/3)
(pow.f64 (/.f64 (+.f64 (+.f64 2 beta) alpha) (-.f64 beta alpha)) -1)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) 3))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))))
(exp.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))))
Outputs
(-.f64 1 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (*.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) (+.f64 alpha (*.f64 2 i))))))
(-.f64 1 (/.f64 (neg.f64 (pow.f64 alpha 2)) (*.f64 (+.f64 alpha (*.f64 2 i)) (+.f64 2 (+.f64 alpha (*.f64 2 i))))))
(-.f64 (+.f64 1 (*.f64 beta (-.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 2 (+.f64 (*.f64 2 alpha) (*.f64 4 i)))) (*.f64 (pow.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) 2) (pow.f64 (+.f64 alpha (*.f64 2 i)) 2)))) (+.f64 (*.f64 -1 (/.f64 alpha (*.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) (+.f64 alpha (*.f64 2 i))))) (/.f64 alpha (*.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) (+.f64 alpha (*.f64 2 i)))))))) (*.f64 -1 (/.f64 (pow.f64 alpha 2) (*.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) (+.f64 alpha (*.f64 2 i))))))
(+.f64 1 (-.f64 (*.f64 beta (-.f64 (neg.f64 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 2 (fma.f64 2 alpha (*.f64 i 4)))) (*.f64 (pow.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) 2) (pow.f64 (+.f64 alpha (*.f64 2 i)) 2)))) (*.f64 0 (/.f64 alpha (*.f64 (+.f64 alpha (*.f64 2 i)) (+.f64 2 (+.f64 alpha (*.f64 2 i)))))))) (/.f64 (neg.f64 (pow.f64 alpha 2)) (*.f64 (+.f64 alpha (*.f64 2 i)) (+.f64 2 (+.f64 alpha (*.f64 2 i)))))))
(-.f64 (+.f64 1 (+.f64 (*.f64 beta (-.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 2 (+.f64 (*.f64 2 alpha) (*.f64 4 i)))) (*.f64 (pow.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) 2) (pow.f64 (+.f64 alpha (*.f64 2 i)) 2)))) (+.f64 (*.f64 -1 (/.f64 alpha (*.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) (+.f64 alpha (*.f64 2 i))))) (/.f64 alpha (*.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) (+.f64 alpha (*.f64 2 i))))))) (*.f64 (pow.f64 beta 2) (-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (*.f64 (pow.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) 2) (pow.f64 (+.f64 alpha (*.f64 2 i)) 2)))) (/.f64 (*.f64 (+.f64 2 (+.f64 (*.f64 2 alpha) (*.f64 4 i))) (-.f64 (+.f64 (*.f64 -1 (/.f64 alpha (*.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) (+.f64 alpha (*.f64 2 i))))) (/.f64 alpha (*.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) (+.f64 alpha (*.f64 2 i))))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 2 (+.f64 (*.f64 2 alpha) (*.f64 4 i)))) (*.f64 (pow.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) 2) (pow.f64 (+.f64 alpha (*.f64 2 i)) 2)))))) (*.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) (+.f64 alpha (*.f64 2 i))))) (/.f64 1 (*.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) (+.f64 alpha (*.f64 2 i)))))))) (*.f64 -1 (/.f64 (pow.f64 alpha 2) (*.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) (+.f64 alpha (*.f64 2 i))))))
(+.f64 1 (-.f64 (fma.f64 beta (-.f64 (neg.f64 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 2 (fma.f64 2 alpha (*.f64 i 4)))) (*.f64 (pow.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) 2) (pow.f64 (+.f64 alpha (*.f64 2 i)) 2)))) (*.f64 0 (/.f64 alpha (*.f64 (+.f64 alpha (*.f64 2 i)) (+.f64 2 (+.f64 alpha (*.f64 2 i))))))) (*.f64 (pow.f64 beta 2) (-.f64 (fma.f64 -1 (/.f64 (pow.f64 alpha 2) (*.f64 (pow.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) 2) (pow.f64 (+.f64 alpha (*.f64 2 i)) 2))) (/.f64 (+.f64 2 (fma.f64 2 alpha (*.f64 i 4))) (/.f64 (*.f64 (+.f64 alpha (*.f64 2 i)) (+.f64 2 (+.f64 alpha (*.f64 2 i)))) (-.f64 (*.f64 0 (/.f64 alpha (*.f64 (+.f64 alpha (*.f64 2 i)) (+.f64 2 (+.f64 alpha (*.f64 2 i)))))) (neg.f64 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 2 (fma.f64 2 alpha (*.f64 i 4)))) (*.f64 (pow.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) 2) (pow.f64 (+.f64 alpha (*.f64 2 i)) 2)))))))) (/.f64 1 (*.f64 (+.f64 alpha (*.f64 2 i)) (+.f64 2 (+.f64 alpha (*.f64 2 i)))))))) (/.f64 (neg.f64 (pow.f64 alpha 2)) (*.f64 (+.f64 alpha (*.f64 2 i)) (+.f64 2 (+.f64 alpha (*.f64 2 i)))))))
(-.f64 (+.f64 1 (+.f64 (*.f64 beta (-.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 2 (+.f64 (*.f64 2 alpha) (*.f64 4 i)))) (*.f64 (pow.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) 2) (pow.f64 (+.f64 alpha (*.f64 2 i)) 2)))) (+.f64 (*.f64 -1 (/.f64 alpha (*.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) (+.f64 alpha (*.f64 2 i))))) (/.f64 alpha (*.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) (+.f64 alpha (*.f64 2 i))))))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (*.f64 (pow.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) 2) (pow.f64 (+.f64 alpha (*.f64 2 i)) 2)))) (/.f64 (*.f64 (+.f64 2 (+.f64 (*.f64 2 alpha) (*.f64 4 i))) (-.f64 (+.f64 (*.f64 -1 (/.f64 alpha (*.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) (+.f64 alpha (*.f64 2 i))))) (/.f64 alpha (*.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) (+.f64 alpha (*.f64 2 i))))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 2 (+.f64 (*.f64 2 alpha) (*.f64 4 i)))) (*.f64 (pow.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) 2) (pow.f64 (+.f64 alpha (*.f64 2 i)) 2)))))) (*.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) (+.f64 alpha (*.f64 2 i))))) (/.f64 1 (*.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) (+.f64 alpha (*.f64 2 i)))))) (*.f64 (pow.f64 beta 3) (-.f64 (+.f64 (*.f64 -1 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) 2) (pow.f64 (+.f64 alpha (*.f64 2 i)) 2)))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) 2) (pow.f64 (+.f64 alpha (*.f64 2 i)) 2))) (/.f64 (*.f64 (+.f64 2 (+.f64 (*.f64 2 alpha) (*.f64 4 i))) (-.f64 (/.f64 1 (*.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) (+.f64 alpha (*.f64 2 i)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (*.f64 (pow.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) 2) (pow.f64 (+.f64 alpha (*.f64 2 i)) 2)))) (/.f64 (*.f64 (+.f64 2 (+.f64 (*.f64 2 alpha) (*.f64 4 i))) (-.f64 (+.f64 (*.f64 -1 (/.f64 alpha (*.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) (+.f64 alpha (*.f64 2 i))))) (/.f64 alpha (*.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) (+.f64 alpha (*.f64 2 i))))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 2 (+.f64 (*.f64 2 alpha) (*.f64 4 i)))) (*.f64 (pow.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) 2) (pow.f64 (+.f64 alpha (*.f64 2 i)) 2)))))) (*.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) (+.f64 alpha (*.f64 2 i))))))) (*.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) (+.f64 alpha (*.f64 2 i)))))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 2 (+.f64 (*.f64 2 alpha) (*.f64 4 i)))) (*.f64 (pow.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) 3) (pow.f64 (+.f64 alpha (*.f64 2 i)) 3))))))))) (*.f64 -1 (/.f64 (pow.f64 alpha 2) (*.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) (+.f64 alpha (*.f64 2 i))))))
(+.f64 1 (-.f64 (fma.f64 beta (-.f64 (neg.f64 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 2 (fma.f64 2 alpha (*.f64 i 4)))) (*.f64 (pow.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) 2) (pow.f64 (+.f64 alpha (*.f64 2 i)) 2)))) (*.f64 0 (/.f64 alpha (*.f64 (+.f64 alpha (*.f64 2 i)) (+.f64 2 (+.f64 alpha (*.f64 2 i))))))) (fma.f64 (pow.f64 beta 2) (-.f64 (fma.f64 -1 (/.f64 (pow.f64 alpha 2) (*.f64 (pow.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) 2) (pow.f64 (+.f64 alpha (*.f64 2 i)) 2))) (/.f64 (+.f64 2 (fma.f64 2 alpha (*.f64 i 4))) (/.f64 (*.f64 (+.f64 alpha (*.f64 2 i)) (+.f64 2 (+.f64 alpha (*.f64 2 i)))) (-.f64 (*.f64 0 (/.f64 alpha (*.f64 (+.f64 alpha (*.f64 2 i)) (+.f64 2 (+.f64 alpha (*.f64 2 i)))))) (neg.f64 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 2 (fma.f64 2 alpha (*.f64 i 4)))) (*.f64 (pow.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) 2) (pow.f64 (+.f64 alpha (*.f64 2 i)) 2)))))))) (/.f64 1 (*.f64 (+.f64 alpha (*.f64 2 i)) (+.f64 2 (+.f64 alpha (*.f64 2 i)))))) (*.f64 (pow.f64 beta 3) (-.f64 (fma.f64 -1 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) 2) (pow.f64 (+.f64 alpha (*.f64 2 i)) 2))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) 2) (pow.f64 (+.f64 alpha (*.f64 2 i)) 2))) (/.f64 (+.f64 2 (fma.f64 2 alpha (*.f64 i 4))) (/.f64 (*.f64 (+.f64 alpha (*.f64 2 i)) (+.f64 2 (+.f64 alpha (*.f64 2 i)))) (-.f64 (/.f64 1 (*.f64 (+.f64 alpha (*.f64 2 i)) (+.f64 2 (+.f64 alpha (*.f64 2 i))))) (fma.f64 -1 (/.f64 (pow.f64 alpha 2) (*.f64 (pow.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) 2) (pow.f64 (+.f64 alpha (*.f64 2 i)) 2))) (/.f64 (+.f64 2 (fma.f64 2 alpha (*.f64 i 4))) (/.f64 (*.f64 (+.f64 alpha (*.f64 2 i)) (+.f64 2 (+.f64 alpha (*.f64 2 i)))) (-.f64 (*.f64 0 (/.f64 alpha (*.f64 (+.f64 alpha (*.f64 2 i)) (+.f64 2 (+.f64 alpha (*.f64 2 i)))))) (neg.f64 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 2 (fma.f64 2 alpha (*.f64 i 4)))) (*.f64 (pow.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) 2) (pow.f64 (+.f64 alpha (*.f64 2 i)) 2))))))))))))) (neg.f64 (*.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) 3)) (/.f64 (+.f64 2 (fma.f64 2 alpha (*.f64 i 4))) (pow.f64 (+.f64 alpha (*.f64 2 i)) 3)))))))) (/.f64 (neg.f64 (pow.f64 alpha 2)) (*.f64 (+.f64 alpha (*.f64 2 i)) (+.f64 2 (+.f64 alpha (*.f64 2 i)))))))
(/.f64 (-.f64 (+.f64 2 (+.f64 (*.f64 2 alpha) (*.f64 4 i))) (+.f64 alpha (*.f64 -1 alpha))) beta)
(/.f64 (-.f64 (+.f64 2 (fma.f64 2 alpha (*.f64 i 4))) (*.f64 0 alpha)) beta)
(-.f64 (+.f64 (*.f64 2 (/.f64 alpha beta)) (+.f64 (*.f64 4 (/.f64 i beta)) (+.f64 (*.f64 2 (/.f64 1 beta)) (+.f64 (/.f64 (*.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) (+.f64 alpha (*.f64 2 i))) (pow.f64 beta 2)) (/.f64 (*.f64 (+.f64 2 (+.f64 (*.f64 2 alpha) (*.f64 4 i))) (-.f64 (+.f64 alpha (*.f64 -1 alpha)) (+.f64 2 (+.f64 (*.f64 2 alpha) (*.f64 4 i))))) (pow.f64 beta 2)))))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))) (/.f64 alpha beta))))
(-.f64 (fma.f64 2 (/.f64 alpha beta) (fma.f64 4 (/.f64 i beta) (+.f64 (/.f64 2 beta) (+.f64 (/.f64 (*.f64 (+.f64 alpha (*.f64 2 i)) (+.f64 2 (+.f64 alpha (*.f64 2 i)))) (pow.f64 beta 2)) (/.f64 (+.f64 2 (fma.f64 2 alpha (*.f64 i 4))) (/.f64 (pow.f64 beta 2) (-.f64 (*.f64 0 alpha) (+.f64 2 (fma.f64 2 alpha (*.f64 i 4)))))))))) (fma.f64 -1 (/.f64 alpha beta) (fma.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (/.f64 alpha beta))))
(-.f64 (+.f64 (*.f64 2 (/.f64 alpha beta)) (+.f64 (*.f64 4 (/.f64 i beta)) (+.f64 (*.f64 2 (/.f64 1 beta)) (+.f64 (/.f64 (*.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) (*.f64 (+.f64 alpha (*.f64 2 i)) (-.f64 (+.f64 alpha (*.f64 -1 alpha)) (+.f64 2 (+.f64 (*.f64 2 alpha) (*.f64 4 i)))))) (pow.f64 beta 3)) (+.f64 (/.f64 (*.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) (+.f64 alpha (*.f64 2 i))) (pow.f64 beta 2)) (+.f64 (/.f64 (*.f64 (+.f64 2 (+.f64 (*.f64 2 alpha) (*.f64 4 i))) (-.f64 (*.f64 -1 (pow.f64 alpha 2)) (+.f64 (*.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) (+.f64 alpha (*.f64 2 i))) (*.f64 (+.f64 2 (+.f64 (*.f64 2 alpha) (*.f64 4 i))) (-.f64 (+.f64 alpha (*.f64 -1 alpha)) (+.f64 2 (+.f64 (*.f64 2 alpha) (*.f64 4 i)))))))) (pow.f64 beta 3)) (/.f64 (*.f64 (+.f64 2 (+.f64 (*.f64 2 alpha) (*.f64 4 i))) (-.f64 (+.f64 alpha (*.f64 -1 alpha)) (+.f64 2 (+.f64 (*.f64 2 alpha) (*.f64 4 i))))) (pow.f64 beta 2)))))))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))) (/.f64 alpha beta))))
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2
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2
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1
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1
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1
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1
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1
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1
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1
(-.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 i beta)) (/.f64 alpha beta))) (*.f64 -1 (/.f64 alpha beta)))
(-.f64 (+.f64 1 (fma.f64 2 (/.f64 i beta) (/.f64 alpha beta))) (/.f64 (neg.f64 alpha) beta))
(-.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 i beta)) (+.f64 (/.f64 alpha beta) (/.f64 (*.f64 alpha (-.f64 (+.f64 alpha (*.f64 2 i)) (*.f64 -1 alpha))) (pow.f64 beta 2))))) (*.f64 -1 (/.f64 alpha beta)))
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(/.f64 (+.f64 beta (*.f64 2 i)) beta)
(/.f64 (fma.f64 2 i beta) beta)
(+.f64 1 (+.f64 (*.f64 2 (/.f64 i beta)) (*.f64 alpha (-.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (+.f64 beta (*.f64 2 i)) (pow.f64 beta 2)))))))
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-1
(-.f64 (*.f64 -1 (/.f64 (+.f64 beta (*.f64 2 i)) alpha)) (+.f64 1 (/.f64 beta alpha)))
(-.f64 (/.f64 (neg.f64 (fma.f64 2 i beta)) alpha) (+.f64 1 (/.f64 beta alpha)))
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(-.f64 (+.f64 (fma.f64 -1 (/.f64 (fma.f64 2 i beta) alpha) (/.f64 beta (/.f64 (pow.f64 alpha 2) (-.f64 (neg.f64 (fma.f64 2 i beta)) beta)))) (/.f64 (pow.f64 beta 2) (/.f64 (pow.f64 alpha 3) (-.f64 (neg.f64 (fma.f64 2 i beta)) beta)))) (+.f64 1 (/.f64 beta alpha)))
-1
(-.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 beta (*.f64 2 i)) (*.f64 -1 beta)) alpha)) 1)
(fma.f64 -1 (/.f64 (-.f64 (fma.f64 2 i beta) (neg.f64 beta)) alpha) -1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (-.f64 (+.f64 beta (*.f64 2 i)) (*.f64 -1 beta))) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (-.f64 (+.f64 beta (*.f64 2 i)) (*.f64 -1 beta)) alpha))) 1)
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(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (-.f64 (+.f64 beta (*.f64 2 i)) (*.f64 -1 beta))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 2) (-.f64 (+.f64 beta (*.f64 2 i)) (*.f64 -1 beta))) (pow.f64 alpha 3))) (*.f64 -1 (/.f64 (-.f64 (+.f64 beta (*.f64 2 i)) (*.f64 -1 beta)) alpha)))) 1)
(+.f64 (fma.f64 -1 (/.f64 beta (/.f64 (pow.f64 alpha 2) (-.f64 (fma.f64 2 i beta) (neg.f64 beta)))) (fma.f64 -1 (/.f64 (pow.f64 beta 2) (/.f64 (pow.f64 alpha 3) (-.f64 (fma.f64 2 i beta) (neg.f64 beta)))) (neg.f64 (/.f64 (-.f64 (fma.f64 2 i beta) (neg.f64 beta)) alpha)))) -1)
(-.f64 1 (/.f64 alpha (+.f64 2 alpha)))
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(-.f64 (+.f64 1 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 alpha (+.f64 2 alpha)))
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(-.f64 (+.f64 1 (fma.f64 beta (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 (pow.f64 beta 2) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4))))))) (/.f64 alpha (+.f64 alpha 2)))
2
(+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)))
(+.f64 2 (neg.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta)))
(-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
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(-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (*.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))))
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2
(-.f64 (+.f64 2 (*.f64 -1 (/.f64 alpha beta))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(+.f64 2 (-.f64 (/.f64 (neg.f64 alpha) beta) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))))
(-.f64 (+.f64 2 (+.f64 (*.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 2 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(-.f64 (+.f64 2 (fma.f64 -1 (/.f64 alpha beta) (fma.f64 -1 (/.f64 (+.f64 alpha 2) (/.f64 (pow.f64 beta 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (/.f64 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta)))
(+.f64 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 1 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4)))) (fma.f64 (pow.f64 alpha 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3))) (/.f64 beta (+.f64 2 beta))))))
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))) (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2)))
(-.f64 (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) (/.f64 beta (/.f64 (pow.f64 alpha 2) (+.f64 2 beta))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 2 (/.f64 1 alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3))) (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))))
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(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 2 (/.f64 1 alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3))) (+.f64 (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2)) (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 3)) (pow.f64 alpha 4)))))
(-.f64 (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4)) (+.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3))))) (fma.f64 -1 (/.f64 beta (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2))) (+.f64 (/.f64 beta (/.f64 (pow.f64 alpha 2) (+.f64 2 beta))) (/.f64 beta (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 2 beta) 3))))))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha))
(neg.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha)))
(fma.f64 -1 (/.f64 (fma.f64 beta (+.f64 2 beta) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2)) (neg.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)))))
(fma.f64 -1 (/.f64 (fma.f64 beta (+.f64 2 beta) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2)) (fma.f64 -1 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (/.f64 beta (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2))))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 3)) (pow.f64 (+.f64 2 beta) 4)) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3))))))
(fma.f64 -1 (/.f64 (fma.f64 beta (+.f64 2 beta) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2)) (fma.f64 -1 (/.f64 (fma.f64 beta (pow.f64 (+.f64 2 beta) 3) (pow.f64 (+.f64 2 beta) 4)) (pow.f64 alpha 4)) (fma.f64 -1 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (/.f64 beta (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2)))))))
(*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))
(/.f64 (neg.f64 alpha) (+.f64 alpha 2))
(+.f64 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))))
(fma.f64 -1 (/.f64 alpha (+.f64 alpha 2)) (*.f64 beta (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2)))))
(+.f64 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (+.f64 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))))
(fma.f64 -1 (/.f64 alpha (+.f64 alpha 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 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (+.f64 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 3) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))))))))
(fma.f64 -1 (/.f64 alpha (+.f64 alpha 2)) (fma.f64 beta (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 (pow.f64 beta 2) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (pow.f64 beta 3) (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 4)))))))
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha beta))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(+.f64 1 (-.f64 (/.f64 (neg.f64 alpha) beta) (+.f64 (/.f64 alpha beta) (/.f64 2 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 1 (-.f64 (*.f64 -1 (+.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) (/.f64 (pow.f64 beta 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2)))))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))))
(-.f64 (+.f64 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 (+.f64 1 (fma.f64 -1 (/.f64 alpha beta) (fma.f64 -1 (/.f64 (+.f64 alpha 2) (/.f64 (pow.f64 beta 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (/.f64 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta)))
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha beta))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(+.f64 1 (-.f64 (/.f64 (neg.f64 alpha) beta) (+.f64 (/.f64 alpha beta) (/.f64 2 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 1 (-.f64 (*.f64 -1 (+.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) (/.f64 (pow.f64 beta 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2)))))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))))
(-.f64 (+.f64 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 (+.f64 1 (fma.f64 -1 (/.f64 alpha beta) (fma.f64 -1 (/.f64 (+.f64 alpha 2) (/.f64 (pow.f64 beta 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (/.f64 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta)))
(/.f64 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)))
(fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (/.f64 beta (+.f64 2 beta)))
(+.f64 (*.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 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (/.f64 beta (+.f64 2 beta))) (/.f64 (*.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)))))
(fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4)))) (+.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 beta alpha) (+.f64 1 (/.f64 (+.f64 -2 (neg.f64 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 (fma.f64 -1 (/.f64 (+.f64 2 beta) (/.f64 (pow.f64 alpha 2) (-.f64 beta (+.f64 -2 (neg.f64 beta))))) (/.f64 beta alpha)) (+.f64 1 (/.f64 (+.f64 -2 (neg.f64 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))))
(-.f64 (+.f64 (fma.f64 -1 (/.f64 (+.f64 2 beta) (/.f64 (pow.f64 alpha 2) (-.f64 beta (+.f64 -2 (neg.f64 beta))))) (/.f64 beta alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 (pow.f64 alpha 3) (-.f64 beta (+.f64 -2 (neg.f64 beta)))))) (+.f64 1 (/.f64 (+.f64 -2 (neg.f64 beta)) alpha)))
-1
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha)) 1)
(fma.f64 -1 (/.f64 (-.f64 (neg.f64 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 (fma.f64 -1 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 2 beta) (/.f64 (pow.f64 alpha 2) (-.f64 (neg.f64 beta) (+.f64 2 beta))))) -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 (fma.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 beta) 2) (-.f64 (neg.f64 beta) (+.f64 2 beta))) (pow.f64 alpha 3)) (fma.f64 -1 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 2 beta) (/.f64 (pow.f64 alpha 2) (-.f64 (neg.f64 beta) (+.f64 2 beta)))))) -1)
(+.f64 2 alpha)
(+.f64 alpha 2)
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
beta
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
beta
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(+.f64 2 beta)
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
alpha
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
alpha
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(-.f64 1 (/.f64 alpha (+.f64 2 alpha)))
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(-.f64 (+.f64 1 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 alpha (+.f64 2 alpha)))
(+.f64 1 (-.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)))) (/.f64 alpha (+.f64 alpha 2))))
(-.f64 (+.f64 1 (+.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha)))
(+.f64 1 (-.f64 (fma.f64 beta (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (pow.f64 beta 2) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))))) (/.f64 alpha (+.f64 alpha 2))))
(-.f64 (+.f64 1 (+.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))))))) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 1 (fma.f64 beta (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 (pow.f64 beta 2) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4))))))) (/.f64 alpha (+.f64 alpha 2)))
2
(+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)))
(+.f64 2 (neg.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta)))
(-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(+.f64 2 (-.f64 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) (/.f64 (*.f64 alpha (+.f64 alpha 2)) (pow.f64 beta 2))) (/.f64 (neg.f64 (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 beta 2))))
(-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (*.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))))
(+.f64 2 (-.f64 (fma.f64 -1 (/.f64 (*.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 beta 3)) (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) (/.f64 (*.f64 alpha (+.f64 alpha 2)) (pow.f64 beta 2)))) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)))))
2
(-.f64 (+.f64 2 (*.f64 -1 (/.f64 alpha beta))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(+.f64 2 (-.f64 (/.f64 (neg.f64 alpha) beta) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))))
(-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(+.f64 2 (-.f64 (*.f64 -1 (+.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) (/.f64 (pow.f64 beta 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2)))))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))))
(-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(-.f64 (+.f64 2 (fma.f64 -1 (/.f64 alpha beta) (fma.f64 -1 (/.f64 (+.f64 alpha 2) (/.f64 (pow.f64 beta 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (/.f64 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta)))
(+.f64 1 (/.f64 beta (+.f64 2 beta)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta))))
(+.f64 1 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (/.f64 beta (+.f64 2 beta))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (+.f64 (*.f64 (pow.f64 alpha 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 3))))) (/.f64 beta (+.f64 2 beta)))))
(+.f64 1 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 (pow.f64 alpha 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3))) (/.f64 beta (+.f64 2 beta)))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))) (+.f64 (*.f64 (pow.f64 alpha 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 3))))) (/.f64 beta (+.f64 2 beta))))))
(+.f64 1 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4)))) (fma.f64 (pow.f64 alpha 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3))) (/.f64 beta (+.f64 2 beta))))))
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))) (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2)))
(-.f64 (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) (/.f64 beta (/.f64 (pow.f64 alpha 2) (+.f64 2 beta))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 2 (/.f64 1 alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3))) (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))))
(-.f64 (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)) (+.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)))) (fma.f64 -1 (/.f64 beta (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2))) (/.f64 beta (/.f64 (pow.f64 alpha 2) (+.f64 2 beta)))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 2 (/.f64 1 alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3))) (+.f64 (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2)) (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 3)) (pow.f64 alpha 4)))))
(-.f64 (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4)) (+.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3))))) (fma.f64 -1 (/.f64 beta (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2))) (+.f64 (/.f64 beta (/.f64 (pow.f64 alpha 2) (+.f64 2 beta))) (/.f64 beta (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 2 beta) 3))))))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha))
(neg.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha)))
(fma.f64 -1 (/.f64 (fma.f64 beta (+.f64 2 beta) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2)) (neg.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha)))
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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))
(neg.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) 2)) 1/3) (/.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) 2))) (*.f64 -1 (*.f64 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) 2)))) (pow.f64 alpha 2)))))
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(pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 3)
(pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3)
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(fma.f64 beta (*.f64 3 (*.f64 (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2))) (fma.f64 (pow.f64 beta 2) (fma.f64 2 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) 2)) (fma.f64 (fma.f64 2 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)))) (pow.f64 (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) 2)) (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (*.f64 (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)))) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3)))
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(fma.f64 beta (*.f64 3 (*.f64 (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2))) (fma.f64 (pow.f64 beta 2) (fma.f64 2 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) 2)) (fma.f64 (fma.f64 2 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)))) (pow.f64 (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) 2)) (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (*.f64 (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)))) (fma.f64 (pow.f64 beta 3) (fma.f64 2 (*.f64 (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))))) (fma.f64 (*.f64 2 (+.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)))) (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)))))) (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (fma.f64 (fma.f64 2 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)))) (pow.f64 (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) 2)) (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4))) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2))))) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3))))
8
(+.f64 8 (+.f64 (*.f64 -8 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (*.f64 -4 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta))))
(+.f64 8 (*.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) -12))
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(+.f64 8 (+.f64 (*.f64 -8 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 (*.f64 -4 (/.f64 (*.f64 (+.f64 2 (*.f64 2 alpha)) (-.f64 (*.f64 alpha (+.f64 2 alpha)) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 beta 3))) (+.f64 (*.f64 -4 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 alpha)) (+.f64 (*.f64 4 (-.f64 (*.f64 alpha (+.f64 2 alpha)) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2))) (pow.f64 beta 3))) (+.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 2 (*.f64 2 alpha)) (-.f64 (*.f64 alpha (+.f64 2 alpha)) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 4 (-.f64 (*.f64 -1 (*.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 (+.f64 2 alpha) 3)))) (pow.f64 beta 3))) (+.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 4 (-.f64 (*.f64 alpha (+.f64 2 alpha)) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2)) (pow.f64 beta 2))) (+.f64 (*.f64 4 (/.f64 (-.f64 (*.f64 -1 (*.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 beta 3))) (+.f64 (*.f64 4 (/.f64 (-.f64 (*.f64 alpha (+.f64 2 alpha)) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 beta 2))) (*.f64 4 (/.f64 (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2) (pow.f64 beta 2))))))))))))
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8
(+.f64 8 (*.f64 -1 (/.f64 (+.f64 (*.f64 -8 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (*.f64 -4 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) beta)))
(+.f64 8 (neg.f64 (/.f64 (*.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) -12) beta)))
(+.f64 8 (+.f64 (*.f64 -4 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -8 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (*.f64 -4 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) beta)) (+.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -4 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)) (pow.f64 beta 2))) (*.f64 4 (/.f64 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2) (pow.f64 beta 2)))))))
(+.f64 8 (fma.f64 -4 (/.f64 (+.f64 alpha 2) (/.f64 (pow.f64 beta 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (fma.f64 -1 (/.f64 (*.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) -12) beta) (fma.f64 2 (/.f64 (fma.f64 -4 (*.f64 (+.f64 alpha 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))) (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2)) (pow.f64 beta 2)) (*.f64 4 (/.f64 (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2) (pow.f64 beta 2)))))))
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(pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 3)
(+.f64 (*.f64 alpha (+.f64 (*.f64 -2 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (*.f64 -1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 3))
(fma.f64 alpha (*.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2)) -3) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 3))
(+.f64 (*.f64 alpha (+.f64 (*.f64 -2 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (*.f64 -1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))))) (+.f64 (*.f64 (pow.f64 alpha 2) (+.f64 (*.f64 2 (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2))) (+.f64 (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 (*.f64 2 (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 3)))))) (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2))) (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 3)))))))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 3)))
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1
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1
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-1
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-1
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(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) 2))) (neg.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2))) (neg.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) 2) -1)) (neg.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) -1)))
(/.f64 (+.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) 1) (+.f64 (neg.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) 1))
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))) 2))
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) 2))
(log.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))) 3))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))))
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))) 1))
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
(fma.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) 1)
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
(fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 (+.f64 2 beta) alpha)) 1)
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))) 2) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))) 1)
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
(fma.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))) 1)
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))) 3))) 1)
(pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) 3)
(*.f64 1 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))) 3))
(pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) 3)
(*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))) (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))) 2))
(pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) 3)
(*.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))) 2) (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))))
(pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) 3)
(*.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))) 3/2) (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))) 3/2))
(pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) 3)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)))) 2) 3) (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))))
(*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) 2) 3))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)))) 3) (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)))) 3))
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) 6)
(/.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) 3)) 3) (pow.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) 2) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)))) 3))
(/.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)) 3) (pow.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) 3))
(/.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) 3) 1) 3) (pow.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)))) 3))
(/.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)) 3) (pow.f64 (+.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) 3))
(/.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) 2)) 3) (pow.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))) 3))
(/.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) 3) (pow.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) 3))
(/.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) 2) -1) 3) (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) -1) 3))
(/.f64 (pow.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) 3) (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) 3))
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))) 6))
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) 6))
(log.f64 (exp.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))) 3)))
(pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))) 3))))
(pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) 3)
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))) 3) 3))
(pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) 3)
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))) 3)))
(pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) 3)
(exp.f64 (*.f64 3 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)))))
(pow.f64 (exp.f64 3) (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)))) 1))
(pow.f64 (exp.f64 3) (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))) 3)))
(pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) 3)
(+.f64 (/.f64 beta (+.f64 (+.f64 2 beta) alpha)) (neg.f64 (/.f64 alpha (+.f64 (+.f64 2 beta) alpha))))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(-.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))) 1)
(+.f64 1 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 1))
(-.f64 (/.f64 beta (+.f64 (+.f64 2 beta) alpha)) (/.f64 alpha (+.f64 (+.f64 2 beta) alpha)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(*.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(*.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 (+.f64 2 beta) alpha)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) 1)
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))) 2) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(*.f64 (neg.f64 (-.f64 beta alpha)) (/.f64 1 (neg.f64 (+.f64 (+.f64 2 beta) alpha))))
(*.f64 (neg.f64 (-.f64 beta alpha)) (/.f64 1 (neg.f64 (+.f64 alpha (+.f64 2 beta)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (+.f64 2 beta) alpha)) 2)) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 (+.f64 2 beta) alpha))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (+.f64 2 beta) alpha))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 (+.f64 2 beta) alpha))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 beta alpha) 2)) 1) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 (+.f64 2 beta) alpha)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 beta alpha) 2)) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 alpha (+.f64 2 beta))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 beta alpha) 2)) (pow.f64 (cbrt.f64 (+.f64 (+.f64 2 beta) alpha)) 2)) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) (/.f64 (cbrt.f64 (pow.f64 (-.f64 beta alpha) 2)) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 beta alpha) 2)) (sqrt.f64 (+.f64 (+.f64 2 beta) alpha))) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (sqrt.f64 (+.f64 (+.f64 2 beta) alpha))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 beta alpha) 2)) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (sqrt.f64 (+.f64 alpha (+.f64 2 beta))))) (sqrt.f64 (+.f64 alpha (+.f64 2 beta))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) 1) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (+.f64 (+.f64 2 beta) alpha)))
(*.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (+.f64 alpha (+.f64 2 beta))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (pow.f64 (cbrt.f64 (+.f64 (+.f64 2 beta) alpha)) 2)) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (cbrt.f64 (+.f64 (+.f64 2 beta) alpha))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) 1)
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))) 3)
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))) 2)
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) 3) 1/3)
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (/.f64 (+.f64 (+.f64 2 beta) alpha) (-.f64 beta alpha)) -1)
(/.f64 1 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) 2))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)))))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) 3))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(exp.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))) 1))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))

eval3.0s (13.2%)

Compiler

Compiled 125438 to 81393 computations (35.1% saved)

prune347.0ms (1.5%)

Pruning

24 alts after pruning (20 fresh and 4 done)

PrunedKeptTotal
New1174121186
Fresh7815
Picked235
Done011
Total1183241207
Accuracy
99.8%
Counts
1207 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
69.2%
(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 (+.f64 2 beta) alpha)) 1) 2)
55.4%
(/.f64 (pow.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3) 1/3) 2)
69.3%
(/.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) 3) 1) 3) (pow.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)))) 3)) 1/3) 2)
16.0%
(/.f64 (/.f64 (-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 (-.f64 (+.f64 beta (*.f64 -1 beta)) (*.f64 -1 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))))) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (-.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1 (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i)))) (*.f64 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))) (-.f64 (+.f64 beta (*.f64 -1 beta)) (*.f64 -1 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))))))))) (pow.f64 (-.f64 (+.f64 beta (*.f64 -1 beta)) (*.f64 -1 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))))) 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 (-.f64 (+.f64 beta (*.f64 -1 beta)) (*.f64 -1 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))))) alpha)) (+.f64 (/.f64 beta alpha) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))) alpha)) (/.f64 (*.f64 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))) (-.f64 (+.f64 beta (*.f64 -1 beta)) (*.f64 -1 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i)))))) (pow.f64 alpha 2))))) (+.f64 (pow.f64 (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 (fma.f64 2 i beta) alpha) (-.f64 beta alpha))) 2) (-.f64 1 (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 (fma.f64 2 i beta) alpha) (-.f64 beta alpha)))))) 2)
16.1%
(/.f64 (/.f64 (-.f64 (+.f64 beta 2) (neg.f64 beta)) alpha) 2)
17.4%
(/.f64 (/.f64 (-.f64 (+.f64 2 (*.f64 2 i)) (*.f64 -2 i)) alpha) 2)
47.4%
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)))) 2)
69.3%
(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) 3) 1) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))))) 2)
16.1%
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
82.5%
(/.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 (fma.f64 2 i beta) alpha) (-.f64 beta alpha))) 3)) (+.f64 (pow.f64 (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 (fma.f64 2 i beta) alpha) (-.f64 beta alpha))) 2) (/.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 2)) (+.f64 1 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))))))) 2)
8.5%
(/.f64 (/.f64 (*.f64 i 4) alpha) 2)
7.1%
(/.f64 (/.f64 (*.f64 beta 2) alpha) 2)
69.3%
(/.f64 (-.f64 (+.f64 1 (/.f64 beta (+.f64 2 (+.f64 alpha beta)))) (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) 2)
28.1%
(/.f64 (-.f64 2 (/.f64 (*.f64 2 alpha) beta)) 2)
25.3%
(/.f64 (-.f64 2 (*.f64 4 (/.f64 i beta))) 2)
55.4%
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
52.3%
(/.f64 (+.f64 (/.f64 (/.f64 (+.f64 alpha beta) (*.f64 2 (/.f64 i (-.f64 beta alpha)))) (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 2 i) 2))) 1) 2)
69.3%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1) 2)
74.1%
(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
13.2%
(/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3))))) 2)
12.8%
(/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha))) 2)
18.6%
(/.f64 (exp.f64 (log.f64 (/.f64 (+.f64 (+.f64 2 (fma.f64 2 i beta)) (fma.f64 2 i beta)) alpha))) 2)
33.3%
(/.f64 2 2)
64.2%
(/.f64 1 2)
Compiler

Compiled 1612 to 1164 computations (27.8% saved)

localize1.6s (7%)

Localize:

Found 13 expressions with local error:

NewAccuracyProgram
100.0%
(/.f64 alpha (+.f64 alpha 2))
99.8%
(pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3)
78.9%
(pow.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3) 1/3)
69.7%
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
100.0%
(+.f64 2 (+.f64 alpha beta))
100.0%
(/.f64 alpha (+.f64 2 (+.f64 alpha beta)))
100.0%
(/.f64 beta (+.f64 2 (+.f64 alpha beta)))
77.1%
(-.f64 (+.f64 1 (/.f64 beta (+.f64 2 (+.f64 alpha beta)))) (/.f64 alpha (+.f64 2 (+.f64 alpha beta))))
100.0%
(-.f64 2 (/.f64 (*.f64 2 alpha) beta))
99.5%
(/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))
83.6%
(+.f64 1 (pow.f64 (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 (fma.f64 2 i beta) alpha) (-.f64 beta alpha))) 3))
83.4%
(+.f64 1 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))))
64.1%
(-.f64 1 (pow.f64 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 2))
Compiler

Compiled 819 to 445 computations (45.7% saved)

series113.0ms (0.5%)

Counts
12 → 258
Calls

69 calls:

TimeVariablePointExpression
54.0ms
beta
@-inf
(-.f64 1 (pow.f64 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 2))
6.0ms
alpha
@-inf
(-.f64 1 (pow.f64 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 2))
4.0ms
beta
@0
(-.f64 1 (pow.f64 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 2))
4.0ms
alpha
@0
(-.f64 1 (pow.f64 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 2))
4.0ms
beta
@inf
(-.f64 1 (pow.f64 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 2))

rewrite128.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
377×log1p-expm1-u
377×expm1-log1p-u
360×add-cube-cbrt
357×add-exp-log
354×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
041523
1800519
Stop Event
node limit
Counts
12 → 240
Calls
Call 1
Inputs
(-.f64 1 (pow.f64 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 2))
(+.f64 1 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))))
(/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))
(-.f64 2 (/.f64 (*.f64 2 alpha) beta))
(-.f64 (+.f64 1 (/.f64 beta (+.f64 2 (+.f64 alpha beta)))) (/.f64 alpha (+.f64 2 (+.f64 alpha beta))))
(/.f64 beta (+.f64 2 (+.f64 alpha beta)))
(/.f64 alpha (+.f64 2 (+.f64 alpha beta)))
(+.f64 2 (+.f64 alpha beta))
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(pow.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3) 1/3)
(pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3)
(/.f64 alpha (+.f64 alpha 2))
Outputs
(+.f64 1 (neg.f64 (pow.f64 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 2)))
(*.f64 1 (-.f64 1 (pow.f64 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 2))) 2) (cbrt.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 2))))
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 2))) (sqrt.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 2))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 4)) (+.f64 1 (pow.f64 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 2)))
(/.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 6)) (+.f64 1 (+.f64 (pow.f64 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 4) (pow.f64 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 2))))
(pow.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 2)) 1)
(pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 2))) 3)
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 2))) 2)
(log.f64 (exp.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 2))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 2)))))
(cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 2)) 3))
(expm1.f64 (log1p.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 2))))
(exp.f64 (log1p.f64 (neg.f64 (pow.f64 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 2))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 2))) 1))
(log1p.f64 (expm1.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 2))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) 1))) 1)
(*.f64 1 (fma.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) 1))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) 1)) 2) (cbrt.f64 (fma.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) 1)))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) 1)) (sqrt.f64 (fma.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) 1)))
(/.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 2)) (-.f64 1 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))))
(/.f64 (+.f64 1 (pow.f64 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 3)) (+.f64 1 (-.f64 (pow.f64 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 2) (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))))))
(pow.f64 (fma.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) 1) 1)
(pow.f64 (cbrt.f64 (fma.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) 1)) 3)
(pow.f64 (pow.f64 (fma.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) 1) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) 1)) 2)
(log.f64 (exp.f64 (fma.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) 1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) 1))))
(cbrt.f64 (pow.f64 (fma.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) 1) 3))
(expm1.f64 (log1p.f64 (fma.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) 1)))
(exp.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))))
(exp.f64 (*.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) 1)))
(fma.f64 1 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 1)
(fma.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) 1)
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))) 2) (cbrt.f64 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))) 1)
(fma.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))) (sqrt.f64 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))) 1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))))) 1)
(*.f64 1 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))))
(*.f64 (+.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) 2) (cbrt.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) (sqrt.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))))
(pow.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) 3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) 2)
(pow.f64 (/.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))) (+.f64 beta alpha)) -1)
(pow.f64 (pow.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) 3) 1/3)
(log.f64 (exp.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 beta alpha) 3) (pow.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))))
(exp.f64 (log.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))))
(+.f64 2 (neg.f64 (/.f64 2 (/.f64 beta alpha))))
(*.f64 1 (-.f64 2 (/.f64 2 (/.f64 beta alpha))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 2 (/.f64 2 (/.f64 beta alpha)))) 2) (cbrt.f64 (-.f64 2 (/.f64 2 (/.f64 beta alpha)))))
(*.f64 (sqrt.f64 (-.f64 2 (/.f64 2 (/.f64 beta alpha)))) (sqrt.f64 (-.f64 2 (/.f64 2 (/.f64 beta alpha)))))
(/.f64 (-.f64 4 (pow.f64 (/.f64 2 (/.f64 beta alpha)) 2)) (+.f64 2 (/.f64 2 (/.f64 beta alpha))))
(/.f64 (-.f64 8 (/.f64 8 (pow.f64 (/.f64 beta alpha) 3))) (+.f64 4 (+.f64 (pow.f64 (/.f64 2 (/.f64 beta alpha)) 2) (*.f64 2 (/.f64 2 (/.f64 beta alpha))))))
(pow.f64 (-.f64 2 (/.f64 2 (/.f64 beta alpha))) 1)
(pow.f64 (cbrt.f64 (-.f64 2 (/.f64 2 (/.f64 beta alpha)))) 3)
(pow.f64 (pow.f64 (-.f64 2 (/.f64 2 (/.f64 beta alpha))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 2 (/.f64 2 (/.f64 beta alpha)))) 2)
(log.f64 (exp.f64 (-.f64 2 (/.f64 2 (/.f64 beta alpha)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 2 (/.f64 2 (/.f64 beta alpha))))))
(cbrt.f64 (pow.f64 (-.f64 2 (/.f64 2 (/.f64 beta alpha))) 3))
(expm1.f64 (log1p.f64 (-.f64 2 (/.f64 2 (/.f64 beta alpha)))))
(exp.f64 (log.f64 (-.f64 2 (/.f64 2 (/.f64 beta alpha)))))
(exp.f64 (*.f64 (log.f64 (-.f64 2 (/.f64 2 (/.f64 beta alpha)))) 1))
(log1p.f64 (expm1.f64 (-.f64 2 (/.f64 2 (/.f64 beta alpha)))))
(+.f64 1 (-.f64 (/.f64 beta (+.f64 (+.f64 alpha 2) beta)) (/.f64 alpha (+.f64 (+.f64 alpha 2) beta))))
(+.f64 (+.f64 1 (/.f64 beta (+.f64 (+.f64 alpha 2) beta))) (neg.f64 (/.f64 alpha (+.f64 (+.f64 alpha 2) beta))))
(+.f64 (+.f64 1 (-.f64 (/.f64 beta (+.f64 (+.f64 alpha 2) beta)) (/.f64 alpha (+.f64 (+.f64 alpha 2) beta)))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 alpha (+.f64 (+.f64 alpha 2) beta)))) (sqrt.f64 (/.f64 alpha (+.f64 (+.f64 alpha 2) beta))) (/.f64 alpha (+.f64 (+.f64 alpha 2) beta))))
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(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)
(log.f64 (exp.f64 (/.f64 alpha (+.f64 alpha 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 alpha (+.f64 alpha 2)))))
(cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))
(expm1.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha 2))))
(exp.f64 (log.f64 (/.f64 alpha (+.f64 alpha 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 alpha (+.f64 alpha 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 alpha (+.f64 alpha 2))))

simplify859.0ms (3.7%)

Algorithm
egg-herbie
Rules
824×+-commutative
778×*-commutative
556×sqr-pow
552×cancel-sign-sub-inv
504×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0155865934
1509057690
Stop Event
node limit
Counts
498 → 712
Calls
Call 1
Inputs
(-.f64 1 (/.f64 (pow.f64 alpha 4) (*.f64 (pow.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) 2) (pow.f64 (+.f64 alpha (*.f64 2 i)) 2))))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 (*.f64 (pow.f64 alpha 2) (*.f64 beta (-.f64 (+.f64 (*.f64 -1 (/.f64 alpha (*.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) (+.f64 alpha (*.f64 2 i))))) (/.f64 alpha (*.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) (+.f64 alpha (*.f64 2 i))))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 2 (+.f64 (*.f64 2 alpha) (*.f64 4 i)))) (*.f64 (pow.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) 2) (pow.f64 (+.f64 alpha (*.f64 2 i)) 2))))))) (*.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) (+.f64 alpha (*.f64 2 i)))))) (/.f64 (pow.f64 alpha 4) (*.f64 (pow.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) 2) (pow.f64 (+.f64 alpha (*.f64 2 i)) 2))))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 alpha 2) (-.f64 (/.f64 1 (*.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) (+.f64 alpha (*.f64 2 i)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (*.f64 (pow.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) 2) (pow.f64 (+.f64 alpha (*.f64 2 i)) 2)))) (/.f64 (*.f64 (+.f64 2 (+.f64 (*.f64 2 alpha) (*.f64 4 i))) (-.f64 (+.f64 (*.f64 -1 (/.f64 alpha (*.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) (+.f64 alpha (*.f64 2 i))))) (/.f64 alpha (*.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) (+.f64 alpha (*.f64 2 i))))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 2 (+.f64 (*.f64 2 alpha) (*.f64 4 i)))) (*.f64 (pow.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) 2) (pow.f64 (+.f64 alpha (*.f64 2 i)) 2)))))) (*.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) (+.f64 alpha (*.f64 2 i))))))) (*.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) (+.f64 alpha (*.f64 2 i))))) (pow.f64 (-.f64 (+.f64 (*.f64 -1 (/.f64 alpha (*.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) (+.f64 alpha (*.f64 2 i))))) (/.f64 alpha (*.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) (+.f64 alpha (*.f64 2 i))))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 2 (+.f64 (*.f64 2 alpha) (*.f64 4 i)))) (*.f64 (pow.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) 2) (pow.f64 (+.f64 alpha (*.f64 2 i)) 2))))) 2)))) (*.f64 2 (/.f64 (*.f64 (pow.f64 alpha 2) (*.f64 beta (-.f64 (+.f64 (*.f64 -1 (/.f64 alpha (*.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) (+.f64 alpha (*.f64 2 i))))) (/.f64 alpha (*.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) (+.f64 alpha (*.f64 2 i))))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 2 (+.f64 (*.f64 2 alpha) (*.f64 4 i)))) (*.f64 (pow.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) 2) (pow.f64 (+.f64 alpha (*.f64 2 i)) 2))))))) (*.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) (+.f64 alpha (*.f64 2 i))))))) (/.f64 (pow.f64 alpha 4) (*.f64 (pow.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) 2) (pow.f64 (+.f64 alpha (*.f64 2 i)) 2))))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 alpha 2) (-.f64 (/.f64 1 (*.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) (+.f64 alpha (*.f64 2 i)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (*.f64 (pow.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) 2) (pow.f64 (+.f64 alpha (*.f64 2 i)) 2)))) (/.f64 (*.f64 (+.f64 2 (+.f64 (*.f64 2 alpha) (*.f64 4 i))) (-.f64 (+.f64 (*.f64 -1 (/.f64 alpha (*.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) (+.f64 alpha (*.f64 2 i))))) (/.f64 alpha (*.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) (+.f64 alpha (*.f64 2 i))))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 2 (+.f64 (*.f64 2 alpha) (*.f64 4 i)))) (*.f64 (pow.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) 2) (pow.f64 (+.f64 alpha (*.f64 2 i)) 2)))))) (*.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) (+.f64 alpha (*.f64 2 i))))))) (*.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) (+.f64 alpha (*.f64 2 i))))) (pow.f64 (-.f64 (+.f64 (*.f64 -1 (/.f64 alpha (*.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) (+.f64 alpha (*.f64 2 i))))) (/.f64 alpha (*.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) (+.f64 alpha (*.f64 2 i))))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 2 (+.f64 (*.f64 2 alpha) (*.f64 4 i)))) (*.f64 (pow.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) 2) (pow.f64 (+.f64 alpha (*.f64 2 i)) 2))))) 2)))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 alpha 2) (-.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 2 (+.f64 (*.f64 2 alpha) (*.f64 4 i)))) (*.f64 (pow.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) 3) (pow.f64 (+.f64 alpha (*.f64 2 i)) 3)))) (+.f64 (*.f64 -1 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) 2) (pow.f64 (+.f64 alpha (*.f64 2 i)) 2)))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) 2) (pow.f64 (+.f64 alpha (*.f64 2 i)) 2))) (/.f64 (*.f64 (+.f64 2 (+.f64 (*.f64 2 alpha) (*.f64 4 i))) (-.f64 (/.f64 1 (*.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) (+.f64 alpha (*.f64 2 i)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (*.f64 (pow.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) 2) (pow.f64 (+.f64 alpha (*.f64 2 i)) 2)))) (/.f64 (*.f64 (+.f64 2 (+.f64 (*.f64 2 alpha) (*.f64 4 i))) (-.f64 (+.f64 (*.f64 -1 (/.f64 alpha (*.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) (+.f64 alpha (*.f64 2 i))))) (/.f64 alpha (*.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) (+.f64 alpha (*.f64 2 i))))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 2 (+.f64 (*.f64 2 alpha) (*.f64 4 i)))) (*.f64 (pow.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) 2) (pow.f64 (+.f64 alpha (*.f64 2 i)) 2)))))) (*.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) (+.f64 alpha (*.f64 2 i))))))) (*.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) (+.f64 alpha (*.f64 2 i)))))))) (*.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) (+.f64 alpha (*.f64 2 i))))) (*.f64 2 (*.f64 (-.f64 (+.f64 (*.f64 -1 (/.f64 alpha (*.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) (+.f64 alpha (*.f64 2 i))))) (/.f64 alpha (*.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) (+.f64 alpha (*.f64 2 i))))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 2 (+.f64 (*.f64 2 alpha) (*.f64 4 i)))) (*.f64 (pow.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) 2) (pow.f64 (+.f64 alpha (*.f64 2 i)) 2))))) (-.f64 (/.f64 1 (*.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) (+.f64 alpha (*.f64 2 i)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (*.f64 (pow.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) 2) (pow.f64 (+.f64 alpha (*.f64 2 i)) 2)))) (/.f64 (*.f64 (+.f64 2 (+.f64 (*.f64 2 alpha) (*.f64 4 i))) (-.f64 (+.f64 (*.f64 -1 (/.f64 alpha (*.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) (+.f64 alpha (*.f64 2 i))))) (/.f64 alpha (*.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) (+.f64 alpha (*.f64 2 i))))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 2 (+.f64 (*.f64 2 alpha) (*.f64 4 i)))) (*.f64 (pow.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) 2) (pow.f64 (+.f64 alpha (*.f64 2 i)) 2)))))) (*.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) (+.f64 alpha (*.f64 2 i))))))))))) (*.f64 2 (/.f64 (*.f64 (pow.f64 alpha 2) (*.f64 beta (-.f64 (+.f64 (*.f64 -1 (/.f64 alpha (*.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) (+.f64 alpha (*.f64 2 i))))) (/.f64 alpha (*.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) (+.f64 alpha (*.f64 2 i))))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 2 (+.f64 (*.f64 2 alpha) (*.f64 4 i)))) (*.f64 (pow.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) 2) (pow.f64 (+.f64 alpha (*.f64 2 i)) 2))))))) (*.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) (+.f64 alpha (*.f64 2 i)))))))) (/.f64 (pow.f64 alpha 4) (*.f64 (pow.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) 2) (pow.f64 (+.f64 alpha (*.f64 2 i)) 2))))
(/.f64 (-.f64 (+.f64 4 (+.f64 (*.f64 4 alpha) (*.f64 8 i))) (+.f64 (*.f64 -2 alpha) (*.f64 2 alpha))) beta)
(-.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) (+.f64 alpha (*.f64 2 i))) (pow.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 2 (+.f64 (*.f64 2 alpha) (*.f64 4 i))) (-.f64 (+.f64 alpha (*.f64 -1 alpha)) (+.f64 2 (+.f64 (*.f64 2 alpha) (*.f64 4 i))))) (pow.f64 beta 2))) (+.f64 (*.f64 4 (/.f64 alpha beta)) (+.f64 (*.f64 8 (/.f64 i beta)) (*.f64 4 (/.f64 1 beta)))))) (+.f64 (*.f64 -2 (/.f64 alpha beta)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (/.f64 (pow.f64 (-.f64 (+.f64 alpha (*.f64 -1 alpha)) (+.f64 2 (+.f64 (*.f64 2 alpha) (*.f64 4 i)))) 2) (pow.f64 beta 2))))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (+.f64 (*.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) (*.f64 (+.f64 alpha (*.f64 2 i)) (-.f64 (+.f64 alpha (*.f64 -1 alpha)) (+.f64 2 (+.f64 (*.f64 2 alpha) (*.f64 4 i)))))) (*.f64 (+.f64 2 (+.f64 (*.f64 2 alpha) (*.f64 4 i))) (-.f64 (*.f64 -1 (pow.f64 alpha 2)) (+.f64 (*.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) (+.f64 alpha (*.f64 2 i))) (*.f64 (+.f64 2 (+.f64 (*.f64 2 alpha) (*.f64 4 i))) (-.f64 (+.f64 alpha (*.f64 -1 alpha)) (+.f64 2 (+.f64 (*.f64 2 alpha) (*.f64 4 i)))))))))) (*.f64 2 (*.f64 (-.f64 (*.f64 -1 (pow.f64 alpha 2)) (+.f64 (*.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) (+.f64 alpha (*.f64 2 i))) (*.f64 (+.f64 2 (+.f64 (*.f64 2 alpha) (*.f64 4 i))) (-.f64 (+.f64 alpha (*.f64 -1 alpha)) (+.f64 2 (+.f64 (*.f64 2 alpha) (*.f64 4 i))))))) (-.f64 (+.f64 alpha (*.f64 -1 alpha)) (+.f64 2 (+.f64 (*.f64 2 alpha) (*.f64 4 i))))))) (pow.f64 beta 3))) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) (+.f64 alpha (*.f64 2 i))) (pow.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 2 (+.f64 (*.f64 2 alpha) (*.f64 4 i))) (-.f64 (+.f64 alpha (*.f64 -1 alpha)) (+.f64 2 (+.f64 (*.f64 2 alpha) (*.f64 4 i))))) (pow.f64 beta 2))) (+.f64 (*.f64 4 (/.f64 alpha beta)) (+.f64 (*.f64 8 (/.f64 i beta)) (*.f64 4 (/.f64 1 beta))))))) (+.f64 (*.f64 -2 (/.f64 alpha beta)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (/.f64 (pow.f64 (-.f64 (+.f64 alpha (*.f64 -1 alpha)) (+.f64 2 (+.f64 (*.f64 2 alpha) (*.f64 4 i)))) 2) (pow.f64 beta 2))))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 (*.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) (*.f64 (+.f64 alpha (*.f64 2 i)) (-.f64 (+.f64 alpha (*.f64 -1 alpha)) (+.f64 2 (+.f64 (*.f64 2 alpha) (*.f64 4 i)))))) (*.f64 (+.f64 2 (+.f64 (*.f64 2 alpha) (*.f64 4 i))) (-.f64 (*.f64 -1 (pow.f64 alpha 2)) (+.f64 (*.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) (+.f64 alpha (*.f64 2 i))) (*.f64 (+.f64 2 (+.f64 (*.f64 2 alpha) (*.f64 4 i))) (-.f64 (+.f64 alpha (*.f64 -1 alpha)) (+.f64 2 (+.f64 (*.f64 2 alpha) (*.f64 4 i))))))))) (-.f64 (+.f64 alpha (*.f64 -1 alpha)) (+.f64 2 (+.f64 (*.f64 2 alpha) (*.f64 4 i)))))) (+.f64 (*.f64 -2 (+.f64 (*.f64 -1 (*.f64 (+.f64 2 (+.f64 (*.f64 2 alpha) (*.f64 4 i))) (+.f64 (*.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) (*.f64 (+.f64 alpha (*.f64 2 i)) (-.f64 (+.f64 alpha (*.f64 -1 alpha)) (+.f64 2 (+.f64 (*.f64 2 alpha) (*.f64 4 i)))))) (*.f64 (+.f64 2 (+.f64 (*.f64 2 alpha) (*.f64 4 i))) (-.f64 (*.f64 -1 (pow.f64 alpha 2)) (+.f64 (*.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) (+.f64 alpha (*.f64 2 i))) (*.f64 (+.f64 2 (+.f64 (*.f64 2 alpha) (*.f64 4 i))) (-.f64 (+.f64 alpha (*.f64 -1 alpha)) (+.f64 2 (+.f64 (*.f64 2 alpha) (*.f64 4 i))))))))))) (*.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) (*.f64 (+.f64 alpha (*.f64 2 i)) (-.f64 (*.f64 -1 (pow.f64 alpha 2)) (+.f64 (*.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) (+.f64 alpha (*.f64 2 i))) (*.f64 (+.f64 2 (+.f64 (*.f64 2 alpha) (*.f64 4 i))) (-.f64 (+.f64 alpha (*.f64 -1 alpha)) (+.f64 2 (+.f64 (*.f64 2 alpha) (*.f64 4 i))))))))))) (pow.f64 (-.f64 (*.f64 -1 (pow.f64 alpha 2)) (+.f64 (*.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) (+.f64 alpha (*.f64 2 i))) (*.f64 (+.f64 2 (+.f64 (*.f64 2 alpha) (*.f64 4 i))) (-.f64 (+.f64 alpha (*.f64 -1 alpha)) (+.f64 2 (+.f64 (*.f64 2 alpha) (*.f64 4 i))))))) 2))) (pow.f64 beta 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (+.f64 (*.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) (*.f64 (+.f64 alpha (*.f64 2 i)) (-.f64 (+.f64 alpha (*.f64 -1 alpha)) (+.f64 2 (+.f64 (*.f64 2 alpha) (*.f64 4 i)))))) (*.f64 (+.f64 2 (+.f64 (*.f64 2 alpha) (*.f64 4 i))) (-.f64 (*.f64 -1 (pow.f64 alpha 2)) (+.f64 (*.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) (+.f64 alpha (*.f64 2 i))) (*.f64 (+.f64 2 (+.f64 (*.f64 2 alpha) (*.f64 4 i))) (-.f64 (+.f64 alpha (*.f64 -1 alpha)) (+.f64 2 (+.f64 (*.f64 2 alpha) (*.f64 4 i)))))))))) (*.f64 2 (*.f64 (-.f64 (*.f64 -1 (pow.f64 alpha 2)) (+.f64 (*.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) (+.f64 alpha (*.f64 2 i))) (*.f64 (+.f64 2 (+.f64 (*.f64 2 alpha) (*.f64 4 i))) (-.f64 (+.f64 alpha (*.f64 -1 alpha)) (+.f64 2 (+.f64 (*.f64 2 alpha) (*.f64 4 i))))))) (-.f64 (+.f64 alpha (*.f64 -1 alpha)) (+.f64 2 (+.f64 (*.f64 2 alpha) (*.f64 4 i))))))) (pow.f64 beta 3))) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) (+.f64 alpha (*.f64 2 i))) (pow.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 2 (+.f64 (*.f64 2 alpha) (*.f64 4 i))) (-.f64 (+.f64 alpha (*.f64 -1 alpha)) (+.f64 2 (+.f64 (*.f64 2 alpha) (*.f64 4 i))))) (pow.f64 beta 2))) (+.f64 (*.f64 4 (/.f64 alpha beta)) (+.f64 (*.f64 8 (/.f64 i beta)) (*.f64 4 (/.f64 1 beta)))))))) (+.f64 (*.f64 -2 (/.f64 alpha beta)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (/.f64 (pow.f64 (-.f64 (+.f64 alpha (*.f64 -1 alpha)) (+.f64 2 (+.f64 (*.f64 2 alpha) (*.f64 4 i)))) 2) (pow.f64 beta 2))))))
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1
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1
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2
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2
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1
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1
(+.f64 1 (*.f64 1/4 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (pow.f64 i 2))))
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(/.f64 alpha (+.f64 2 (+.f64 alpha (*.f64 2 i))))
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1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 i)) beta)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 i)) beta)) (/.f64 (*.f64 (+.f64 2 (*.f64 2 i)) (+.f64 2 (+.f64 alpha (*.f64 2 i)))) (pow.f64 beta 2))))
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1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 alpha) (*.f64 -1 (+.f64 2 (+.f64 alpha (*.f64 2 i))))) beta)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 alpha) (*.f64 -1 (+.f64 2 (+.f64 alpha (*.f64 2 i))))) beta)) (/.f64 (*.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) (-.f64 (*.f64 -1 alpha) (*.f64 -1 (+.f64 2 (+.f64 alpha (*.f64 2 i)))))) (pow.f64 beta 2))))
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(/.f64 beta (+.f64 2 (+.f64 beta (*.f64 2 i))))
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1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 i)) alpha)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 i)) alpha)) (/.f64 (*.f64 (+.f64 2 (*.f64 2 i)) (+.f64 2 (+.f64 beta (*.f64 2 i)))) (pow.f64 alpha 2))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 i)) (pow.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) 2)) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 i)) alpha)) (/.f64 (*.f64 (+.f64 2 (*.f64 2 i)) (+.f64 2 (+.f64 beta (*.f64 2 i)))) (pow.f64 alpha 2)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (*.f64 -1 (+.f64 2 (+.f64 beta (*.f64 2 i))))) alpha)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (*.f64 -1 (+.f64 2 (+.f64 beta (*.f64 2 i))))) alpha)) (/.f64 (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (-.f64 (*.f64 -1 beta) (*.f64 -1 (+.f64 2 (+.f64 beta (*.f64 2 i)))))) (pow.f64 alpha 2))))
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(/.f64 (+.f64 alpha beta) (+.f64 2 (+.f64 alpha beta)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 i (+.f64 alpha beta)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2))) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) (/.f64 beta (+.f64 2 (+.f64 alpha beta)))))
(+.f64 (*.f64 -2 (/.f64 (*.f64 i (+.f64 alpha beta)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2))) (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 i 2) (+.f64 alpha beta)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 3))) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))))
(+.f64 (*.f64 -8 (/.f64 (*.f64 (pow.f64 i 3) (+.f64 alpha beta)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 4))) (+.f64 (*.f64 -2 (/.f64 (*.f64 i (+.f64 alpha beta)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2))) (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 i 2) (+.f64 alpha beta)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 3))) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) (/.f64 beta (+.f64 2 (+.f64 alpha beta)))))))
(*.f64 1/2 (/.f64 (+.f64 alpha beta) i))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 alpha beta)) (pow.f64 i 2))) (*.f64 1/2 (/.f64 (+.f64 alpha beta) i)))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 alpha beta)) (pow.f64 i 2))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 alpha beta)) (pow.f64 i 3))) (*.f64 1/2 (/.f64 (+.f64 alpha beta) i))))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 alpha beta)) (pow.f64 i 2))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 3) (+.f64 alpha beta)) (pow.f64 i 4))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 alpha beta)) (pow.f64 i 3))) (*.f64 1/2 (/.f64 (+.f64 alpha beta) i)))))
(*.f64 1/2 (/.f64 (+.f64 alpha beta) i))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 alpha beta)) (pow.f64 i 2))) (*.f64 1/2 (/.f64 (+.f64 alpha beta) i)))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 alpha beta)) (pow.f64 i 2))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 alpha beta)) (pow.f64 i 3))) (*.f64 1/2 (/.f64 (+.f64 alpha beta) i))))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 alpha beta)) (pow.f64 i 2))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 3) (+.f64 alpha beta)) (pow.f64 i 4))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 alpha beta)) (pow.f64 i 3))) (*.f64 1/2 (/.f64 (+.f64 alpha beta) i)))))
2
(+.f64 2 (*.f64 -2 (/.f64 alpha beta)))
(+.f64 2 (*.f64 -2 (/.f64 alpha beta)))
(+.f64 2 (*.f64 -2 (/.f64 alpha beta)))
(*.f64 -2 (/.f64 alpha beta))
(+.f64 2 (*.f64 -2 (/.f64 alpha beta)))
(+.f64 2 (*.f64 -2 (/.f64 alpha beta)))
(+.f64 2 (*.f64 -2 (/.f64 alpha beta)))
(*.f64 -2 (/.f64 alpha beta))
(+.f64 2 (*.f64 -2 (/.f64 alpha beta)))
(+.f64 2 (*.f64 -2 (/.f64 alpha beta)))
(+.f64 2 (*.f64 -2 (/.f64 alpha beta)))
(*.f64 -2 (/.f64 alpha beta))
(+.f64 2 (*.f64 -2 (/.f64 alpha beta)))
(+.f64 2 (*.f64 -2 (/.f64 alpha beta)))
(+.f64 2 (*.f64 -2 (/.f64 alpha beta)))
2
(+.f64 2 (*.f64 -2 (/.f64 alpha beta)))
(+.f64 2 (*.f64 -2 (/.f64 alpha beta)))
(+.f64 2 (*.f64 -2 (/.f64 alpha beta)))
2
(+.f64 2 (*.f64 -2 (/.f64 alpha beta)))
(+.f64 2 (*.f64 -2 (/.f64 alpha beta)))
(+.f64 2 (*.f64 -2 (/.f64 alpha beta)))
(-.f64 1 (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 1 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 1 (+.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 1 (+.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))))))) (/.f64 alpha (+.f64 2 alpha)))
2
(+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)))
(-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (*.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))))
2
(+.f64 2 (*.f64 -1 (/.f64 (-.f64 (+.f64 2 alpha) (*.f64 -1 alpha)) beta)))
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 2 alpha) (*.f64 -1 alpha)) beta)) (+.f64 (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 2 alpha) (*.f64 -1 alpha)) beta)) (+.f64 (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))))
(+.f64 1 (/.f64 beta (+.f64 2 beta)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (+.f64 (*.f64 (pow.f64 alpha 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 3))))) (/.f64 beta (+.f64 2 beta)))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))) (+.f64 (*.f64 (pow.f64 alpha 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 3))))) (/.f64 beta (+.f64 2 beta))))))
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))) (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 2 (/.f64 1 alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3))) (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 2 (/.f64 1 alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3))) (+.f64 (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2)) (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 3)) (pow.f64 alpha 4)))))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha))
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(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 3)) (pow.f64 (+.f64 2 beta) 4)) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3))))))
(/.f64 beta (+.f64 2 alpha))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 beta (+.f64 2 alpha)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (/.f64 beta (+.f64 2 alpha)) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 4) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 (/.f64 beta (+.f64 2 alpha)) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))
(/.f64 beta (+.f64 2 beta))
(+.f64 (*.f64 -1 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 2 beta) 2))) (/.f64 beta (+.f64 2 beta)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 2 beta) 2))) (+.f64 (/.f64 beta (+.f64 2 beta)) (/.f64 (*.f64 (pow.f64 alpha 2) beta) (pow.f64 (+.f64 2 beta) 3))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 2 beta) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 alpha 3) beta) (pow.f64 (+.f64 2 beta) 4))) (+.f64 (/.f64 beta (+.f64 2 beta)) (/.f64 (*.f64 (pow.f64 alpha 2) beta) (pow.f64 (+.f64 2 beta) 3)))))
(/.f64 beta alpha)
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))) (/.f64 beta alpha))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 3)) (pow.f64 alpha 4))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3)))))
(/.f64 beta alpha)
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))) (/.f64 beta alpha))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 3)) (pow.f64 alpha 4))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3)))))
(/.f64 alpha (+.f64 2 beta))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 beta) 2))) (/.f64 alpha (+.f64 2 beta)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 beta) 2))) (+.f64 (/.f64 alpha (+.f64 2 beta)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 beta) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 2 beta) 4))) (+.f64 (/.f64 alpha (+.f64 2 beta)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 beta) alpha)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 beta) alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 beta) alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3))) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 beta) alpha)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 beta) alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 beta) alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3))) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)))))
(/.f64 alpha (+.f64 2 alpha))
(+.f64 (*.f64 -1 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 alpha (+.f64 2 alpha)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (/.f64 alpha (+.f64 2 alpha)) (/.f64 (*.f64 alpha (pow.f64 beta 2)) (pow.f64 (+.f64 2 alpha) 3))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 alpha (pow.f64 beta 3)) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 (/.f64 alpha (+.f64 2 alpha)) (/.f64 (*.f64 alpha (pow.f64 beta 2)) (pow.f64 (+.f64 2 alpha) 3)))))
(/.f64 alpha beta)
(+.f64 (*.f64 -1 (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2))) (/.f64 alpha beta))
(+.f64 (*.f64 -1 (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (/.f64 alpha beta) (/.f64 (*.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 beta 4))) (+.f64 (/.f64 alpha beta) (/.f64 (*.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3)))))
(/.f64 alpha beta)
(+.f64 (*.f64 -1 (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2))) (/.f64 alpha beta))
(+.f64 (*.f64 -1 (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (/.f64 alpha beta) (/.f64 (*.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 beta 4))) (+.f64 (/.f64 alpha beta) (/.f64 (*.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3)))))
(+.f64 2 beta)
alpha
alpha
(+.f64 2 alpha)
beta
beta
1
(+.f64 1 (*.f64 -1/2 alpha))
(+.f64 1 (+.f64 (*.f64 -1/2 alpha) (*.f64 1/4 (pow.f64 alpha 2))))
(+.f64 1 (+.f64 (*.f64 -1/2 alpha) (+.f64 (*.f64 -1/8 (pow.f64 alpha 3)) (*.f64 1/4 (pow.f64 alpha 2)))))
(/.f64 2 alpha)
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (*.f64 16 (/.f64 1 (pow.f64 alpha 4)))))
(/.f64 2 alpha)
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (*.f64 16 (/.f64 1 (pow.f64 alpha 4)))))
1
(+.f64 1 (*.f64 -1/2 alpha))
(+.f64 1 (+.f64 (*.f64 -1/2 alpha) (*.f64 1/4 (pow.f64 alpha 2))))
(+.f64 1 (+.f64 (*.f64 -1/2 alpha) (+.f64 (*.f64 -1/8 (pow.f64 alpha 3)) (*.f64 1/4 (pow.f64 alpha 2)))))
(/.f64 2 alpha)
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 16 (/.f64 1 (*.f64 (pow.f64 alpha 2) (cbrt.f64 4)))))
(-.f64 (+.f64 (*.f64 1/12 (/.f64 (-.f64 192 (*.f64 1536 (/.f64 1 (pow.f64 (cbrt.f64 4) 2)))) (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 16 (/.f64 1 (*.f64 (pow.f64 alpha 2) (cbrt.f64 4)))))
(-.f64 (+.f64 (*.f64 1/12 (/.f64 (-.f64 192 (*.f64 1536 (/.f64 1 (pow.f64 (cbrt.f64 4) 2)))) (pow.f64 alpha 3))) (+.f64 (*.f64 1/12 (/.f64 (-.f64 384 (*.f64 -16 (/.f64 (-.f64 192 (*.f64 1536 (/.f64 1 (pow.f64 (cbrt.f64 4) 2)))) (cbrt.f64 4)))) (pow.f64 alpha 4))) (*.f64 2 (/.f64 1 alpha)))) (*.f64 16 (/.f64 1 (*.f64 (pow.f64 alpha 2) (cbrt.f64 4)))))
(*.f64 -1 (/.f64 (cbrt.f64 -8) alpha))
(+.f64 (*.f64 -16 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -8) 2)) 1/3) (/.f64 1 (pow.f64 alpha 2)))) (*.f64 -1 (/.f64 (cbrt.f64 -8) alpha)))
(+.f64 (*.f64 -16 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -8) 2)) 1/3) (/.f64 1 (pow.f64 alpha 2)))) (+.f64 (*.f64 -1 (/.f64 (cbrt.f64 -8) alpha)) (*.f64 1/3 (/.f64 (+.f64 192 (*.f64 768 (pow.f64 (/.f64 1 (cbrt.f64 -8)) 1/3))) (*.f64 (pow.f64 alpha 3) (pow.f64 (cbrt.f64 -8) 2))))))
(+.f64 (*.f64 -16 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -8) 2)) 1/3) (/.f64 1 (pow.f64 alpha 2)))) (+.f64 (*.f64 -1 (/.f64 (cbrt.f64 -8) alpha)) (+.f64 (*.f64 1/3 (/.f64 (+.f64 192 (*.f64 768 (pow.f64 (/.f64 1 (cbrt.f64 -8)) 1/3))) (*.f64 (pow.f64 alpha 3) (pow.f64 (cbrt.f64 -8) 2)))) (*.f64 1/3 (/.f64 (-.f64 (*.f64 4096 (/.f64 1 (pow.f64 (cbrt.f64 -8) 2))) (+.f64 640 (*.f64 32 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -8) 5)) 1/3) (+.f64 192 (*.f64 768 (pow.f64 (/.f64 1 (cbrt.f64 -8)) 1/3))))))) (*.f64 (pow.f64 alpha 4) (pow.f64 (cbrt.f64 -8) 2)))))))
1
(+.f64 1 (*.f64 -3/2 alpha))
(+.f64 1 (+.f64 (*.f64 -3/2 alpha) (*.f64 3/2 (pow.f64 alpha 2))))
(+.f64 1 (+.f64 (*.f64 -3/2 alpha) (+.f64 (*.f64 -5/4 (pow.f64 alpha 3)) (*.f64 3/2 (pow.f64 alpha 2)))))
(/.f64 8 (pow.f64 alpha 3))
(-.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 48 (/.f64 1 (pow.f64 alpha 4))))
(-.f64 (+.f64 (*.f64 192 (/.f64 1 (pow.f64 alpha 5))) (*.f64 8 (/.f64 1 (pow.f64 alpha 3)))) (*.f64 48 (/.f64 1 (pow.f64 alpha 4))))
(-.f64 (+.f64 (*.f64 192 (/.f64 1 (pow.f64 alpha 5))) (*.f64 8 (/.f64 1 (pow.f64 alpha 3)))) (+.f64 (*.f64 48 (/.f64 1 (pow.f64 alpha 4))) (*.f64 640 (/.f64 1 (pow.f64 alpha 6)))))
(/.f64 8 (pow.f64 alpha 3))
(-.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 48 (/.f64 1 (pow.f64 alpha 4))))
(-.f64 (+.f64 (*.f64 192 (/.f64 1 (pow.f64 alpha 5))) (*.f64 8 (/.f64 1 (pow.f64 alpha 3)))) (*.f64 48 (/.f64 1 (pow.f64 alpha 4))))
(-.f64 (+.f64 (*.f64 192 (/.f64 1 (pow.f64 alpha 5))) (*.f64 8 (/.f64 1 (pow.f64 alpha 3)))) (+.f64 (*.f64 48 (/.f64 1 (pow.f64 alpha 4))) (*.f64 640 (/.f64 1 (pow.f64 alpha 6)))))
(*.f64 1/2 alpha)
(+.f64 (*.f64 -1/4 (pow.f64 alpha 2)) (*.f64 1/2 alpha))
(+.f64 (*.f64 -1/4 (pow.f64 alpha 2)) (+.f64 (*.f64 1/8 (pow.f64 alpha 3)) (*.f64 1/2 alpha)))
(+.f64 (*.f64 -1/4 (pow.f64 alpha 2)) (+.f64 (*.f64 -1/16 (pow.f64 alpha 4)) (+.f64 (*.f64 1/8 (pow.f64 alpha 3)) (*.f64 1/2 alpha))))
1
(-.f64 1 (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 8 (/.f64 1 (pow.f64 alpha 3)))))
1
(-.f64 1 (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 8 (/.f64 1 (pow.f64 alpha 3)))))
(+.f64 1 (neg.f64 (pow.f64 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 2)))
(*.f64 1 (-.f64 1 (pow.f64 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 2))) 2) (cbrt.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 2))))
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 2))) (sqrt.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 2))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 4)) (+.f64 1 (pow.f64 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 2)))
(/.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 6)) (+.f64 1 (+.f64 (pow.f64 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 4) (pow.f64 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 2))))
(pow.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 2)) 1)
(pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 2))) 3)
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 2))) 2)
(log.f64 (exp.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 2))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 2)))))
(cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 2)) 3))
(expm1.f64 (log1p.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 2))))
(exp.f64 (log1p.f64 (neg.f64 (pow.f64 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 2))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 2))) 1))
(log1p.f64 (expm1.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 2))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) 1))) 1)
(*.f64 1 (fma.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) 1))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) 1)) 2) (cbrt.f64 (fma.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) 1)))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) 1)) (sqrt.f64 (fma.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) 1)))
(/.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 2)) (-.f64 1 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))))
(/.f64 (+.f64 1 (pow.f64 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 3)) (+.f64 1 (-.f64 (pow.f64 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 2) (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))))))
(pow.f64 (fma.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) 1) 1)
(pow.f64 (cbrt.f64 (fma.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) 1)) 3)
(pow.f64 (pow.f64 (fma.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) 1) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) 1)) 2)
(log.f64 (exp.f64 (fma.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) 1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) 1))))
(cbrt.f64 (pow.f64 (fma.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) 1) 3))
(expm1.f64 (log1p.f64 (fma.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) 1)))
(exp.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))))
(exp.f64 (*.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) 1)))
(fma.f64 1 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 1)
(fma.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) 1)
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) 1)
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(log1p.f64 (expm1.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(+.f64 1 (neg.f64 (/.f64 alpha (+.f64 alpha 2))))
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(-.f64 (exp.f64 (log1p.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) 1)
(*.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(*.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2))
(*.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (pow.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) 1/3))
(*.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 (pow.f64 1 1/3) (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(*.f64 (pow.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) 1/3) (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(*.f64 (pow.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3/2) 1/3) (pow.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3/2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3/2)) (cbrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3/2)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) (/.f64 alpha (+.f64 alpha 2)))))
(log.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))))
(cbrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3))
(expm1.f64 (log1p.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(exp.f64 (log1p.f64 (neg.f64 (/.f64 alpha (+.f64 alpha 2)))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (/.f64 alpha (+.f64 alpha 2)))) 1))
(log1p.f64 (expm1.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3))) 1)
(*.f64 1 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3))
(*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2))
(*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3/2) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2) 3) (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 3) (pow.f64 (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 3))
(/.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) 3) (pow.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) (/.f64 alpha (+.f64 alpha 2)))) 3))
(/.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) 3) (pow.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3))
(log.f64 (exp.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3)))
(exp.f64 (*.f64 3 (log1p.f64 (neg.f64 (/.f64 alpha (+.f64 alpha 2))))))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (neg.f64 (/.f64 alpha (+.f64 alpha 2))))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3)))
(-.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1)
(*.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(*.f64 alpha (/.f64 1 (+.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))))
(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)
(log.f64 (exp.f64 (/.f64 alpha (+.f64 alpha 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 alpha (+.f64 alpha 2)))))
(cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))
(expm1.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha 2))))
(exp.f64 (log.f64 (/.f64 alpha (+.f64 alpha 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 alpha (+.f64 alpha 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 alpha (+.f64 alpha 2))))
Outputs
(-.f64 1 (/.f64 (pow.f64 alpha 4) (*.f64 (pow.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) 2) (pow.f64 (+.f64 alpha (*.f64 2 i)) 2))))
(-.f64 1 (/.f64 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 (+.f64 alpha 2) (*.f64 2 i)) 2)) (pow.f64 (+.f64 alpha (*.f64 2 i)) 2)))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 (*.f64 (pow.f64 alpha 2) (*.f64 beta (-.f64 (+.f64 (*.f64 -1 (/.f64 alpha (*.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) (+.f64 alpha (*.f64 2 i))))) (/.f64 alpha (*.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) (+.f64 alpha (*.f64 2 i))))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 2 (+.f64 (*.f64 2 alpha) (*.f64 4 i)))) (*.f64 (pow.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) 2) (pow.f64 (+.f64 alpha (*.f64 2 i)) 2))))))) (*.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) (+.f64 alpha (*.f64 2 i)))))) (/.f64 (pow.f64 alpha 4) (*.f64 (pow.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) 2) (pow.f64 (+.f64 alpha (*.f64 2 i)) 2))))
(+.f64 1 (-.f64 (*.f64 2 (/.f64 (pow.f64 alpha 2) (/.f64 (*.f64 (+.f64 alpha (*.f64 2 i)) (+.f64 (+.f64 alpha 2) (*.f64 2 i))) (*.f64 beta (-.f64 (*.f64 0 (/.f64 alpha (*.f64 (+.f64 alpha (*.f64 2 i)) (+.f64 (+.f64 alpha 2) (*.f64 2 i))))) (neg.f64 (*.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 (+.f64 alpha 2) (*.f64 2 i)) 2)) (/.f64 (+.f64 2 (fma.f64 2 alpha (*.f64 4 i))) (pow.f64 (+.f64 alpha (*.f64 2 i)) 2))))))))) (/.f64 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 (+.f64 alpha 2) (*.f64 2 i)) 2)) (pow.f64 (+.f64 alpha (*.f64 2 i)) 2))))
(+.f64 1 (fma.f64 2 (/.f64 (pow.f64 alpha 2) (/.f64 (*.f64 (+.f64 alpha (*.f64 2 i)) (+.f64 (+.f64 alpha 2) (*.f64 2 i))) (*.f64 beta (*.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 (+.f64 alpha 2) (*.f64 2 i)) 2)) (/.f64 (+.f64 2 (fma.f64 2 alpha (*.f64 4 i))) (pow.f64 (+.f64 alpha (*.f64 2 i)) 2)))))) (neg.f64 (/.f64 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 (+.f64 alpha 2) (*.f64 2 i)) 2)) (pow.f64 (+.f64 alpha (*.f64 2 i)) 2)))))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 alpha 2) (-.f64 (/.f64 1 (*.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) (+.f64 alpha (*.f64 2 i)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (*.f64 (pow.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) 2) (pow.f64 (+.f64 alpha (*.f64 2 i)) 2)))) (/.f64 (*.f64 (+.f64 2 (+.f64 (*.f64 2 alpha) (*.f64 4 i))) (-.f64 (+.f64 (*.f64 -1 (/.f64 alpha (*.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) (+.f64 alpha (*.f64 2 i))))) (/.f64 alpha (*.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) (+.f64 alpha (*.f64 2 i))))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 2 (+.f64 (*.f64 2 alpha) (*.f64 4 i)))) (*.f64 (pow.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) 2) (pow.f64 (+.f64 alpha (*.f64 2 i)) 2)))))) (*.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) (+.f64 alpha (*.f64 2 i))))))) (*.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) (+.f64 alpha (*.f64 2 i))))) (pow.f64 (-.f64 (+.f64 (*.f64 -1 (/.f64 alpha (*.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) (+.f64 alpha (*.f64 2 i))))) (/.f64 alpha (*.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) (+.f64 alpha (*.f64 2 i))))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 2 (+.f64 (*.f64 2 alpha) (*.f64 4 i)))) (*.f64 (pow.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) 2) (pow.f64 (+.f64 alpha (*.f64 2 i)) 2))))) 2)))) (*.f64 2 (/.f64 (*.f64 (pow.f64 alpha 2) (*.f64 beta (-.f64 (+.f64 (*.f64 -1 (/.f64 alpha (*.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) (+.f64 alpha (*.f64 2 i))))) (/.f64 alpha (*.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) (+.f64 alpha (*.f64 2 i))))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 2 (+.f64 (*.f64 2 alpha) (*.f64 4 i)))) (*.f64 (pow.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) 2) (pow.f64 (+.f64 alpha (*.f64 2 i)) 2))))))) (*.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) (+.f64 alpha (*.f64 2 i))))))) (/.f64 (pow.f64 alpha 4) (*.f64 (pow.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) 2) (pow.f64 (+.f64 alpha (*.f64 2 i)) 2))))
(+.f64 1 (-.f64 (fma.f64 -1 (*.f64 (pow.f64 beta 2) (fma.f64 -2 (*.f64 (/.f64 (pow.f64 alpha 2) (+.f64 (+.f64 alpha 2) (*.f64 2 i))) (/.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 alpha (*.f64 2 i)) (+.f64 (+.f64 alpha 2) (*.f64 2 i)))) (fma.f64 -1 (/.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 (+.f64 alpha 2) (*.f64 2 i)) 2)) (pow.f64 (+.f64 alpha (*.f64 2 i)) 2)) (/.f64 (+.f64 2 (fma.f64 2 alpha (*.f64 4 i))) (/.f64 (*.f64 (+.f64 alpha (*.f64 2 i)) (+.f64 (+.f64 alpha 2) (*.f64 2 i))) (-.f64 (*.f64 0 (/.f64 alpha (*.f64 (+.f64 alpha (*.f64 2 i)) (+.f64 (+.f64 alpha 2) (*.f64 2 i))))) (neg.f64 (*.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 (+.f64 alpha 2) (*.f64 2 i)) 2)) (/.f64 (+.f64 2 (fma.f64 2 alpha (*.f64 4 i))) (pow.f64 (+.f64 alpha (*.f64 2 i)) 2))))))))) (+.f64 alpha (*.f64 2 i)))) (pow.f64 (-.f64 (*.f64 0 (/.f64 alpha (*.f64 (+.f64 alpha (*.f64 2 i)) (+.f64 (+.f64 alpha 2) (*.f64 2 i))))) (neg.f64 (*.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 (+.f64 alpha 2) (*.f64 2 i)) 2)) (/.f64 (+.f64 2 (fma.f64 2 alpha (*.f64 4 i))) (pow.f64 (+.f64 alpha (*.f64 2 i)) 2))))) 2))) (*.f64 2 (/.f64 (pow.f64 alpha 2) (/.f64 (*.f64 (+.f64 alpha (*.f64 2 i)) (+.f64 (+.f64 alpha 2) (*.f64 2 i))) (*.f64 beta (-.f64 (*.f64 0 (/.f64 alpha (*.f64 (+.f64 alpha (*.f64 2 i)) (+.f64 (+.f64 alpha 2) (*.f64 2 i))))) (neg.f64 (*.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 (+.f64 alpha 2) (*.f64 2 i)) 2)) (/.f64 (+.f64 2 (fma.f64 2 alpha (*.f64 4 i))) (pow.f64 (+.f64 alpha (*.f64 2 i)) 2)))))))))) (/.f64 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 (+.f64 alpha 2) (*.f64 2 i)) 2)) (pow.f64 (+.f64 alpha (*.f64 2 i)) 2))))
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(*.f64 2 (/.f64 (+.f64 2 (fma.f64 2 beta (*.f64 4 i))) alpha))
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(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (-.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1 (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i)))) (*.f64 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))) (-.f64 (+.f64 beta (*.f64 -1 beta)) (*.f64 -1 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))))))))) (pow.f64 (-.f64 (+.f64 beta (*.f64 -1 beta)) (*.f64 -1 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))))) 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (*.f64 (+.f64 beta (*.f64 2 i)) (-.f64 (+.f64 beta (*.f64 -1 beta)) (*.f64 -1 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i)))))))) (+.f64 (*.f64 2 (*.f64 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))) (-.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1 (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i)))) (*.f64 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))) (-.f64 (+.f64 beta (*.f64 -1 beta)) (*.f64 -1 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i)))))))))) (*.f64 2 (*.f64 (-.f64 (+.f64 beta (*.f64 -1 beta)) (*.f64 -1 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))))) (-.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1 (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i)))) (*.f64 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))) (-.f64 (+.f64 beta (*.f64 -1 beta)) (*.f64 -1 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i)))))))))))) (pow.f64 alpha 3))) (*.f64 2 (/.f64 (-.f64 (+.f64 beta (*.f64 -1 beta)) (*.f64 -1 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))))) alpha))))
(fma.f64 -1 (/.f64 (fma.f64 -2 (-.f64 (pow.f64 beta 2) (fma.f64 -1 (*.f64 (fma.f64 2 i beta) (+.f64 2 (fma.f64 2 i beta))) (*.f64 (+.f64 2 (fma.f64 2 beta (*.f64 4 i))) (-.f64 (*.f64 0 beta) (neg.f64 (+.f64 2 (fma.f64 2 beta (*.f64 4 i)))))))) (pow.f64 (-.f64 (*.f64 0 beta) (neg.f64 (+.f64 2 (fma.f64 2 beta (*.f64 4 i))))) 2)) (pow.f64 alpha 2)) (fma.f64 -1 (/.f64 (fma.f64 2 (*.f64 (*.f64 (fma.f64 2 i beta) (+.f64 2 (fma.f64 2 i beta))) (-.f64 (*.f64 0 beta) (neg.f64 (+.f64 2 (fma.f64 2 beta (*.f64 4 i)))))) (*.f64 2 (+.f64 (*.f64 (+.f64 2 (fma.f64 2 beta (*.f64 4 i))) (-.f64 (pow.f64 beta 2) (fma.f64 -1 (*.f64 (fma.f64 2 i beta) (+.f64 2 (fma.f64 2 i beta))) (*.f64 (+.f64 2 (fma.f64 2 beta (*.f64 4 i))) (-.f64 (*.f64 0 beta) (neg.f64 (+.f64 2 (fma.f64 2 beta (*.f64 4 i))))))))) (*.f64 (-.f64 (*.f64 0 beta) (neg.f64 (+.f64 2 (fma.f64 2 beta (*.f64 4 i))))) (-.f64 (pow.f64 beta 2) (fma.f64 -1 (*.f64 (fma.f64 2 i beta) (+.f64 2 (fma.f64 2 i beta))) (*.f64 (+.f64 2 (fma.f64 2 beta (*.f64 4 i))) (-.f64 (*.f64 0 beta) (neg.f64 (+.f64 2 (fma.f64 2 beta (*.f64 4 i)))))))))))) (pow.f64 alpha 3)) (*.f64 2 (/.f64 (-.f64 (*.f64 0 beta) (neg.f64 (+.f64 2 (fma.f64 2 beta (*.f64 4 i))))) alpha))))
(-.f64 (-.f64 (*.f64 2 (/.f64 (+.f64 2 (fma.f64 2 beta (*.f64 4 i))) alpha)) (/.f64 (fma.f64 2 (*.f64 (+.f64 2 (fma.f64 2 i beta)) (*.f64 (fma.f64 2 i beta) (+.f64 2 (fma.f64 2 beta (*.f64 4 i))))) (*.f64 2 (+.f64 (*.f64 (+.f64 2 (fma.f64 2 beta (*.f64 4 i))) (-.f64 (+.f64 (pow.f64 beta 2) (*.f64 (fma.f64 2 i beta) (+.f64 2 (fma.f64 2 i beta)))) (pow.f64 (+.f64 2 (fma.f64 2 beta (*.f64 4 i))) 2))) (*.f64 (+.f64 2 (fma.f64 2 beta (*.f64 4 i))) (-.f64 (+.f64 (pow.f64 beta 2) (*.f64 (fma.f64 2 i beta) (+.f64 2 (fma.f64 2 i beta)))) (pow.f64 (+.f64 2 (fma.f64 2 beta (*.f64 4 i))) 2)))))) (pow.f64 alpha 3))) (/.f64 (fma.f64 -2 (-.f64 (+.f64 (pow.f64 beta 2) (*.f64 (fma.f64 2 i beta) (+.f64 2 (fma.f64 2 i beta)))) (pow.f64 (+.f64 2 (fma.f64 2 beta (*.f64 4 i))) 2)) (pow.f64 (+.f64 2 (fma.f64 2 beta (*.f64 4 i))) 2)) (pow.f64 alpha 2)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))) (+.f64 (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (*.f64 (+.f64 beta (*.f64 2 i)) (-.f64 (+.f64 beta (*.f64 -1 beta)) (*.f64 -1 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))))))) (*.f64 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))) (-.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1 (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i)))) (*.f64 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))) (-.f64 (+.f64 beta (*.f64 -1 beta)) (*.f64 -1 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i)))))))))))) (+.f64 (*.f64 -2 (*.f64 (+.f64 (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (*.f64 (+.f64 beta (*.f64 2 i)) (-.f64 (+.f64 beta (*.f64 -1 beta)) (*.f64 -1 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))))))) (*.f64 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))) (-.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1 (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i)))) (*.f64 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))) (-.f64 (+.f64 beta (*.f64 -1 beta)) (*.f64 -1 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i)))))))))) (-.f64 (+.f64 beta (*.f64 -1 beta)) (*.f64 -1 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))))))) (+.f64 (*.f64 2 (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (*.f64 (+.f64 beta (*.f64 2 i)) (-.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1 (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i)))) (*.f64 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))) (-.f64 (+.f64 beta (*.f64 -1 beta)) (*.f64 -1 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))))))))))) (pow.f64 (-.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1 (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i)))) (*.f64 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))) (-.f64 (+.f64 beta (*.f64 -1 beta)) (*.f64 -1 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i)))))))) 2)))) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (-.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1 (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i)))) (*.f64 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))) (-.f64 (+.f64 beta (*.f64 -1 beta)) (*.f64 -1 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))))))))) (pow.f64 (-.f64 (+.f64 beta (*.f64 -1 beta)) (*.f64 -1 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))))) 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (*.f64 (+.f64 beta (*.f64 2 i)) (-.f64 (+.f64 beta (*.f64 -1 beta)) (*.f64 -1 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i)))))))) (+.f64 (*.f64 2 (*.f64 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))) (-.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1 (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i)))) (*.f64 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))) (-.f64 (+.f64 beta (*.f64 -1 beta)) (*.f64 -1 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i)))))))))) (*.f64 2 (*.f64 (-.f64 (+.f64 beta (*.f64 -1 beta)) (*.f64 -1 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))))) (-.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1 (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i)))) (*.f64 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))) (-.f64 (+.f64 beta (*.f64 -1 beta)) (*.f64 -1 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i)))))))))))) (pow.f64 alpha 3))) (*.f64 2 (/.f64 (-.f64 (+.f64 beta (*.f64 -1 beta)) (*.f64 -1 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))))) alpha)))))
(fma.f64 -1 (/.f64 (fma.f64 -2 (*.f64 (+.f64 2 (fma.f64 2 beta (*.f64 4 i))) (fma.f64 (+.f64 2 (fma.f64 2 i beta)) (*.f64 (fma.f64 2 i beta) (-.f64 (*.f64 0 beta) (neg.f64 (+.f64 2 (fma.f64 2 beta (*.f64 4 i)))))) (*.f64 (+.f64 2 (fma.f64 2 beta (*.f64 4 i))) (-.f64 (pow.f64 beta 2) (fma.f64 -1 (*.f64 (fma.f64 2 i beta) (+.f64 2 (fma.f64 2 i beta))) (*.f64 (+.f64 2 (fma.f64 2 beta (*.f64 4 i))) (-.f64 (*.f64 0 beta) (neg.f64 (+.f64 2 (fma.f64 2 beta (*.f64 4 i))))))))))) (fma.f64 -2 (*.f64 (-.f64 (*.f64 0 beta) (neg.f64 (+.f64 2 (fma.f64 2 beta (*.f64 4 i))))) (fma.f64 (+.f64 2 (fma.f64 2 i beta)) (*.f64 (fma.f64 2 i beta) (-.f64 (*.f64 0 beta) (neg.f64 (+.f64 2 (fma.f64 2 beta (*.f64 4 i)))))) (*.f64 (+.f64 2 (fma.f64 2 beta (*.f64 4 i))) (-.f64 (pow.f64 beta 2) (fma.f64 -1 (*.f64 (fma.f64 2 i beta) (+.f64 2 (fma.f64 2 i beta))) (*.f64 (+.f64 2 (fma.f64 2 beta (*.f64 4 i))) (-.f64 (*.f64 0 beta) (neg.f64 (+.f64 2 (fma.f64 2 beta (*.f64 4 i))))))))))) (fma.f64 2 (*.f64 (*.f64 (fma.f64 2 i beta) (+.f64 2 (fma.f64 2 i beta))) (-.f64 (pow.f64 beta 2) (fma.f64 -1 (*.f64 (fma.f64 2 i beta) (+.f64 2 (fma.f64 2 i beta))) (*.f64 (+.f64 2 (fma.f64 2 beta (*.f64 4 i))) (-.f64 (*.f64 0 beta) (neg.f64 (+.f64 2 (fma.f64 2 beta (*.f64 4 i))))))))) (pow.f64 (-.f64 (pow.f64 beta 2) (fma.f64 -1 (*.f64 (fma.f64 2 i beta) (+.f64 2 (fma.f64 2 i beta))) (*.f64 (+.f64 2 (fma.f64 2 beta (*.f64 4 i))) (-.f64 (*.f64 0 beta) (neg.f64 (+.f64 2 (fma.f64 2 beta (*.f64 4 i)))))))) 2)))) (pow.f64 alpha 4)) (fma.f64 -1 (/.f64 (fma.f64 -2 (-.f64 (pow.f64 beta 2) (fma.f64 -1 (*.f64 (fma.f64 2 i beta) (+.f64 2 (fma.f64 2 i beta))) (*.f64 (+.f64 2 (fma.f64 2 beta (*.f64 4 i))) (-.f64 (*.f64 0 beta) (neg.f64 (+.f64 2 (fma.f64 2 beta (*.f64 4 i)))))))) (pow.f64 (-.f64 (*.f64 0 beta) (neg.f64 (+.f64 2 (fma.f64 2 beta (*.f64 4 i))))) 2)) (pow.f64 alpha 2)) (fma.f64 -1 (/.f64 (fma.f64 2 (*.f64 (*.f64 (fma.f64 2 i beta) (+.f64 2 (fma.f64 2 i beta))) (-.f64 (*.f64 0 beta) (neg.f64 (+.f64 2 (fma.f64 2 beta (*.f64 4 i)))))) (*.f64 2 (+.f64 (*.f64 (+.f64 2 (fma.f64 2 beta (*.f64 4 i))) (-.f64 (pow.f64 beta 2) (fma.f64 -1 (*.f64 (fma.f64 2 i beta) (+.f64 2 (fma.f64 2 i beta))) (*.f64 (+.f64 2 (fma.f64 2 beta (*.f64 4 i))) (-.f64 (*.f64 0 beta) (neg.f64 (+.f64 2 (fma.f64 2 beta (*.f64 4 i))))))))) (*.f64 (-.f64 (*.f64 0 beta) (neg.f64 (+.f64 2 (fma.f64 2 beta (*.f64 4 i))))) (-.f64 (pow.f64 beta 2) (fma.f64 -1 (*.f64 (fma.f64 2 i beta) (+.f64 2 (fma.f64 2 i beta))) (*.f64 (+.f64 2 (fma.f64 2 beta (*.f64 4 i))) (-.f64 (*.f64 0 beta) (neg.f64 (+.f64 2 (fma.f64 2 beta (*.f64 4 i)))))))))))) (pow.f64 alpha 3)) (*.f64 2 (/.f64 (-.f64 (*.f64 0 beta) (neg.f64 (+.f64 2 (fma.f64 2 beta (*.f64 4 i))))) alpha)))))
(-.f64 (-.f64 (-.f64 (*.f64 2 (/.f64 (+.f64 2 (fma.f64 2 beta (*.f64 4 i))) alpha)) (/.f64 (fma.f64 2 (*.f64 (+.f64 2 (fma.f64 2 i beta)) (*.f64 (fma.f64 2 i beta) (+.f64 2 (fma.f64 2 beta (*.f64 4 i))))) (*.f64 2 (+.f64 (*.f64 (+.f64 2 (fma.f64 2 beta (*.f64 4 i))) (-.f64 (+.f64 (pow.f64 beta 2) (*.f64 (fma.f64 2 i beta) (+.f64 2 (fma.f64 2 i beta)))) (pow.f64 (+.f64 2 (fma.f64 2 beta (*.f64 4 i))) 2))) (*.f64 (+.f64 2 (fma.f64 2 beta (*.f64 4 i))) (-.f64 (+.f64 (pow.f64 beta 2) (*.f64 (fma.f64 2 i beta) (+.f64 2 (fma.f64 2 i beta)))) (pow.f64 (+.f64 2 (fma.f64 2 beta (*.f64 4 i))) 2)))))) (pow.f64 alpha 3))) (/.f64 (fma.f64 -2 (-.f64 (+.f64 (pow.f64 beta 2) (*.f64 (fma.f64 2 i beta) (+.f64 2 (fma.f64 2 i beta)))) (pow.f64 (+.f64 2 (fma.f64 2 beta (*.f64 4 i))) 2)) (pow.f64 (+.f64 2 (fma.f64 2 beta (*.f64 4 i))) 2)) (pow.f64 alpha 2))) (/.f64 (fma.f64 -2 (*.f64 (+.f64 2 (fma.f64 2 beta (*.f64 4 i))) (fma.f64 (+.f64 2 (fma.f64 2 i beta)) (*.f64 (fma.f64 2 i beta) (+.f64 2 (fma.f64 2 beta (*.f64 4 i)))) (*.f64 (+.f64 2 (fma.f64 2 beta (*.f64 4 i))) (-.f64 (+.f64 (pow.f64 beta 2) (*.f64 (fma.f64 2 i beta) (+.f64 2 (fma.f64 2 i beta)))) (pow.f64 (+.f64 2 (fma.f64 2 beta (*.f64 4 i))) 2))))) (fma.f64 -2 (*.f64 (+.f64 2 (fma.f64 2 beta (*.f64 4 i))) (fma.f64 (+.f64 2 (fma.f64 2 i beta)) (*.f64 (fma.f64 2 i beta) (+.f64 2 (fma.f64 2 beta (*.f64 4 i)))) (*.f64 (+.f64 2 (fma.f64 2 beta (*.f64 4 i))) (-.f64 (+.f64 (pow.f64 beta 2) (*.f64 (fma.f64 2 i beta) (+.f64 2 (fma.f64 2 i beta)))) (pow.f64 (+.f64 2 (fma.f64 2 beta (*.f64 4 i))) 2))))) (fma.f64 2 (*.f64 (*.f64 (fma.f64 2 i beta) (+.f64 2 (fma.f64 2 i beta))) (-.f64 (+.f64 (pow.f64 beta 2) (*.f64 (fma.f64 2 i beta) (+.f64 2 (fma.f64 2 i beta)))) (pow.f64 (+.f64 2 (fma.f64 2 beta (*.f64 4 i))) 2))) (pow.f64 (-.f64 (+.f64 (pow.f64 beta 2) (*.f64 (fma.f64 2 i beta) (+.f64 2 (fma.f64 2 i beta)))) (pow.f64 (+.f64 2 (fma.f64 2 beta (*.f64 4 i))) 2)) 2)))) (pow.f64 alpha 4)))
(*.f64 -2 (/.f64 (-.f64 (+.f64 beta (*.f64 -1 beta)) (*.f64 -1 (+.f64 (*.f64 -1 (+.f64 2 (+.f64 beta (*.f64 2 i)))) (*.f64 -1 (+.f64 beta (*.f64 2 i)))))) alpha))
(*.f64 -2 (/.f64 (-.f64 (*.f64 0 beta) (neg.f64 (fma.f64 -1 (+.f64 2 (fma.f64 2 i beta)) (neg.f64 (fma.f64 2 i beta))))) alpha))
(/.f64 (*.f64 -2 (-.f64 (-.f64 -2 (fma.f64 2 i beta)) (fma.f64 2 i beta))) alpha)
(+.f64 (*.f64 -2 (/.f64 (-.f64 (+.f64 beta (*.f64 -1 beta)) (*.f64 -1 (+.f64 (*.f64 -1 (+.f64 2 (+.f64 beta (*.f64 2 i)))) (*.f64 -1 (+.f64 beta (*.f64 2 i)))))) alpha)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (-.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1 (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i)))) (*.f64 (+.f64 (*.f64 -1 (+.f64 2 (+.f64 beta (*.f64 2 i)))) (*.f64 -1 (+.f64 beta (*.f64 2 i)))) (-.f64 (+.f64 beta (*.f64 -1 beta)) (*.f64 -1 (+.f64 (*.f64 -1 (+.f64 2 (+.f64 beta (*.f64 2 i)))) (*.f64 -1 (+.f64 beta (*.f64 2 i)))))))))) (pow.f64 (-.f64 (+.f64 beta (*.f64 -1 beta)) (*.f64 -1 (+.f64 (*.f64 -1 (+.f64 2 (+.f64 beta (*.f64 2 i)))) (*.f64 -1 (+.f64 beta (*.f64 2 i)))))) 2)) (pow.f64 alpha 2))))
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2
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1
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1
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1
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1
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(*.f64 1/2 (/.f64 (+.f64 alpha beta) i))
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2
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(*.f64 -2 (/.f64 alpha beta))
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2
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2
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2
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(-.f64 2 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta))
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2
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(/.f64 beta (+.f64 2 alpha))
(/.f64 beta (+.f64 alpha 2))
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(-.f64 (/.f64 beta (+.f64 alpha 2)) (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 2)))
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1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)))
(+.f64 1 (neg.f64 (/.f64 (+.f64 alpha 2) beta)))
(-.f64 1 (/.f64 (+.f64 alpha 2) beta))
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1
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(+.f64 1 (neg.f64 (/.f64 (+.f64 alpha 2) beta)))
(-.f64 1 (/.f64 (+.f64 alpha 2) beta))
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(/.f64 beta (+.f64 2 beta))
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(fma.f64 -1 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 2 beta) 2)) (/.f64 beta (+.f64 2 beta)))
(-.f64 (/.f64 beta (+.f64 2 beta)) (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 2 beta) 2)))
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(fma.f64 -1 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 2 beta) 2)) (fma.f64 -1 (/.f64 (*.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 4)) (+.f64 (/.f64 beta (+.f64 2 beta)) (/.f64 (pow.f64 alpha 2) (/.f64 (pow.f64 (+.f64 2 beta) 3) beta)))))
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(/.f64 beta alpha)
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))) (/.f64 beta alpha))
(fma.f64 -1 (/.f64 beta (/.f64 (pow.f64 alpha 2) (+.f64 2 beta))) (/.f64 beta alpha))
(-.f64 (/.f64 beta alpha) (/.f64 beta (/.f64 (pow.f64 alpha 2) (+.f64 2 beta))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3))))
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(/.f64 beta alpha)
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(fma.f64 -1 (/.f64 beta (/.f64 (pow.f64 alpha 2) (+.f64 2 beta))) (/.f64 beta alpha))
(-.f64 (/.f64 beta alpha) (/.f64 beta (/.f64 (pow.f64 alpha 2) (+.f64 2 beta))))
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(fma.f64 -1 (/.f64 beta (/.f64 (pow.f64 alpha 2) (+.f64 2 beta))) (fma.f64 -1 (/.f64 beta (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 2 beta) 3))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3)))))
(-.f64 (-.f64 (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3))) (/.f64 beta (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 2 beta) 3)))) (/.f64 beta (/.f64 (pow.f64 alpha 2) (+.f64 2 beta))))
(/.f64 alpha (+.f64 2 beta))
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(fma.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 beta) 2)) (/.f64 alpha (+.f64 2 beta)))
(-.f64 (/.f64 alpha (+.f64 2 beta)) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 beta) 2)))
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(fma.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 beta) 2)) (fma.f64 -1 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 2 beta) 4)) (+.f64 (/.f64 alpha (+.f64 2 beta)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3)))))
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1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 beta) alpha)))
(+.f64 1 (neg.f64 (/.f64 (+.f64 2 beta) alpha)))
(-.f64 1 (/.f64 (+.f64 2 beta) alpha))
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(+.f64 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)))
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1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 beta) alpha)))
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(-.f64 1 (/.f64 (+.f64 2 beta) alpha))
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(/.f64 alpha (+.f64 2 alpha))
(/.f64 alpha (+.f64 alpha 2))
(+.f64 (*.f64 -1 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 alpha (+.f64 2 alpha)))
(fma.f64 -1 (/.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 2) beta)) (/.f64 alpha (+.f64 alpha 2)))
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(fma.f64 -1 (/.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 2) beta)) (fma.f64 -1 (/.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 4) (pow.f64 beta 3))) (+.f64 (/.f64 (*.f64 alpha (pow.f64 beta 2)) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 alpha (+.f64 alpha 2)))))
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(/.f64 alpha beta)
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(fma.f64 -1 (/.f64 alpha (/.f64 (pow.f64 beta 2) (+.f64 alpha 2))) (/.f64 alpha beta))
(-.f64 (/.f64 alpha beta) (/.f64 alpha (/.f64 (pow.f64 beta 2) (+.f64 alpha 2))))
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(/.f64 alpha beta)
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(fma.f64 -1 (/.f64 alpha (/.f64 (pow.f64 beta 2) (+.f64 alpha 2))) (/.f64 alpha beta))
(-.f64 (/.f64 alpha beta) (/.f64 alpha (/.f64 (pow.f64 beta 2) (+.f64 alpha 2))))
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(+.f64 2 beta)
alpha
alpha
(+.f64 2 alpha)
(+.f64 alpha 2)
beta
beta
1
(+.f64 1 (*.f64 -1/2 alpha))
(+.f64 1 (*.f64 alpha -1/2))
(+.f64 1 (+.f64 (*.f64 -1/2 alpha) (*.f64 1/4 (pow.f64 alpha 2))))
(+.f64 1 (fma.f64 -1/2 alpha (*.f64 (pow.f64 alpha 2) 1/4)))
(+.f64 1 (+.f64 (*.f64 -1/2 alpha) (+.f64 (*.f64 -1/8 (pow.f64 alpha 3)) (*.f64 1/4 (pow.f64 alpha 2)))))
(+.f64 1 (fma.f64 -1/2 alpha (fma.f64 -1/8 (pow.f64 alpha 3) (*.f64 (pow.f64 alpha 2) 1/4))))
(/.f64 2 alpha)
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (/.f64 2 alpha) (/.f64 4 (pow.f64 alpha 2)))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (pow.f64 alpha 2))))
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(/.f64 2 alpha)
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (/.f64 2 alpha) (/.f64 4 (pow.f64 alpha 2)))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (pow.f64 alpha 2))))
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1
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(/.f64 2 alpha)
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(-.f64 (/.f64 2 alpha) (/.f64 16 (*.f64 (pow.f64 alpha 2) (cbrt.f64 4))))
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1
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(-.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 48 (pow.f64 alpha 4)))
(-.f64 (+.f64 (*.f64 192 (/.f64 1 (pow.f64 alpha 5))) (*.f64 8 (/.f64 1 (pow.f64 alpha 3)))) (*.f64 48 (/.f64 1 (pow.f64 alpha 4))))
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(/.f64 8 (pow.f64 alpha 3))
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(-.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 48 (pow.f64 alpha 4)))
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(*.f64 1/2 alpha)
(*.f64 alpha 1/2)
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(fma.f64 -1/4 (pow.f64 alpha 2) (*.f64 alpha 1/2))
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(fma.f64 -1/4 (pow.f64 alpha 2) (fma.f64 1/8 (pow.f64 alpha 3) (*.f64 alpha 1/2)))
(+.f64 (*.f64 -1/4 (pow.f64 alpha 2)) (+.f64 (*.f64 -1/16 (pow.f64 alpha 4)) (+.f64 (*.f64 1/8 (pow.f64 alpha 3)) (*.f64 1/2 alpha))))
(fma.f64 -1/4 (pow.f64 alpha 2) (fma.f64 -1/16 (pow.f64 alpha 4) (fma.f64 1/8 (pow.f64 alpha 3) (*.f64 alpha 1/2))))
1
(-.f64 1 (*.f64 2 (/.f64 1 alpha)))
(-.f64 1 (/.f64 2 alpha))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 2 (/.f64 1 alpha)))
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(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 8 (/.f64 1 (pow.f64 alpha 3)))))
(-.f64 (+.f64 1 (/.f64 4 (pow.f64 alpha 2))) (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3))))
1
(-.f64 1 (*.f64 2 (/.f64 1 alpha)))
(-.f64 1 (/.f64 2 alpha))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 2 (/.f64 1 alpha)))
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(-.f64 (+.f64 1 (/.f64 4 (pow.f64 alpha 2))) (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3))))
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(-.f64 1 (pow.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 2))
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(log.f64 (+.f64 1 (expm1.f64 (+.f64 (+.f64 alpha 2) beta))))
(+.f64 alpha (+.f64 2 beta))
(cbrt.f64 (pow.f64 (+.f64 (+.f64 alpha 2) beta) 3))
(+.f64 alpha (+.f64 2 beta))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 alpha 2) beta)))
(+.f64 alpha (+.f64 2 beta))
(exp.f64 (log.f64 (+.f64 (+.f64 alpha 2) beta)))
(+.f64 alpha (+.f64 2 beta))
(exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 alpha 2) beta)) 1))
(+.f64 alpha (+.f64 2 beta))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 alpha 2) beta)))
(+.f64 alpha (+.f64 2 beta))
(fma.f64 1 (+.f64 beta alpha) 2)
(+.f64 alpha (+.f64 2 beta))
(fma.f64 1 (+.f64 alpha 2) beta)
(+.f64 alpha (+.f64 2 beta))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 beta alpha)) 2) (cbrt.f64 (+.f64 beta alpha)) 2)
(+.f64 alpha (+.f64 2 beta))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2) (cbrt.f64 (+.f64 alpha 2)) beta)
(+.f64 alpha (+.f64 2 beta))
(fma.f64 (sqrt.f64 (+.f64 beta alpha)) (sqrt.f64 (+.f64 beta alpha)) 2)
(+.f64 alpha (+.f64 2 beta))
(fma.f64 (sqrt.f64 (+.f64 alpha 2)) (sqrt.f64 (+.f64 alpha 2)) beta)
(+.f64 alpha (+.f64 2 beta))
(+.f64 1 (neg.f64 (/.f64 alpha (+.f64 alpha 2))))
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(*.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(*.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2))
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(*.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (pow.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) 1/3))
(*.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (cbrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2) (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(-.f64 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 1 (/.f64 alpha (+.f64 alpha 2)))
(*.f64 (pow.f64 1 1/3) (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(*.f64 (pow.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) 1/3) (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(*.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (cbrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)))
(*.f64 (pow.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3/2) 1/3) (pow.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3/2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3/2)) (cbrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3/2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3/2)) (cbrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3/2)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) (/.f64 alpha (+.f64 alpha 2)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))
(pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1)
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(pow.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3) 1/3)
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 3)
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(pow.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 6) 1/6)
(pow.f64 (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2)
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(log.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))))
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(cbrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3))
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(expm1.f64 (log1p.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(exp.f64 (log1p.f64 (neg.f64 (/.f64 alpha (+.f64 alpha 2)))))
(exp.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (/.f64 alpha (+.f64 alpha 2)))) 1))
(exp.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))
(log1p.f64 (expm1.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(+.f64 1 (neg.f64 (/.f64 alpha (+.f64 alpha 2))))
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(-.f64 (exp.f64 (log1p.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) 1)
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(*.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(*.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2))
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(*.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (pow.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) 1/3))
(*.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (cbrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2) (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(-.f64 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 1 (/.f64 alpha (+.f64 alpha 2)))
(*.f64 (pow.f64 1 1/3) (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(*.f64 (pow.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) 1/3) (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(*.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (cbrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)))
(*.f64 (pow.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3/2) 1/3) (pow.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3/2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3/2)) (cbrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3/2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3/2)) (cbrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3/2)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) (/.f64 alpha (+.f64 alpha 2)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))
(log.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))))
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(cbrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3))
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(expm1.f64 (log1p.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(exp.f64 (log1p.f64 (neg.f64 (/.f64 alpha (+.f64 alpha 2)))))
(exp.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (/.f64 alpha (+.f64 alpha 2)))) 1))
(exp.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))
(log1p.f64 (expm1.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3))) 1)
(pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3)
(*.f64 1 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3))
(pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3)
(*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2))
(pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3)
(*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3)
(*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3/2) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3/2))
(pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2) 3) (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3)
(*.f64 (pow.f64 (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 3) (pow.f64 (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 3))
(pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3)
(/.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) 3) (pow.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) (/.f64 alpha (+.f64 alpha 2)))) 3))
(/.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) 3) (pow.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) 3))
(/.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) 3) (pow.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3))
(log.f64 (exp.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3)))
(pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3))))
(pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3)
(cbrt.f64 (pow.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3) 3))
(pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3)
(expm1.f64 (log1p.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3)))
(pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3)
(exp.f64 (*.f64 3 (log1p.f64 (neg.f64 (/.f64 alpha (+.f64 alpha 2))))))
(pow.f64 (exp.f64 3) (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))
(pow.f64 (exp.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) 3)
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (neg.f64 (/.f64 alpha (+.f64 alpha 2))))) 1))
(pow.f64 (exp.f64 3) (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))
(pow.f64 (exp.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) 3)
(log1p.f64 (expm1.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3)))
(pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3)
(-.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1)
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 alpha 2)) 1))
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(*.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(/.f64 alpha (+.f64 alpha 2))
(*.f64 alpha (/.f64 1 (+.f64 alpha 2)))
(/.f64 alpha (+.f64 alpha 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2) (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))))
(/.f64 alpha (+.f64 alpha 2))
(*.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))) (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))))
(/.f64 alpha (+.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))
(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 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))
(log1p.f64 (expm1.f64 (/.f64 alpha (+.f64 alpha 2))))
(/.f64 alpha (+.f64 alpha 2))

eval2.3s (10.1%)

Compiler

Compiled 124531 to 81658 computations (34.4% saved)

prune302.0ms (1.3%)

Pruning

27 alts after pruning (19 fresh and 8 done)

PrunedKeptTotal
New9315936
Fresh11415
Picked145
Done044
Total93327960
Accuracy
99.9%
Counts
960 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
69.2%
(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 (+.f64 2 beta) alpha)) 1) 2)
55.4%
(/.f64 (pow.f64 (pow.f64 (/.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))))) 3) 1/3) 2)
55.4%
(/.f64 (pow.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3) 1/3) 2)
16.0%
(/.f64 (/.f64 (-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 (-.f64 (+.f64 beta (*.f64 -1 beta)) (*.f64 -1 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))))) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (-.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1 (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i)))) (*.f64 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))) (-.f64 (+.f64 beta (*.f64 -1 beta)) (*.f64 -1 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))))))))) (pow.f64 (-.f64 (+.f64 beta (*.f64 -1 beta)) (*.f64 -1 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))))) 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 (-.f64 (+.f64 beta (*.f64 -1 beta)) (*.f64 -1 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))))) alpha)) (+.f64 (/.f64 beta alpha) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))) alpha)) (/.f64 (*.f64 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))) (-.f64 (+.f64 beta (*.f64 -1 beta)) (*.f64 -1 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i)))))) (pow.f64 alpha 2))))) (+.f64 (pow.f64 (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 (fma.f64 2 i beta) alpha) (-.f64 beta alpha))) 2) (-.f64 1 (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 (fma.f64 2 i beta) alpha) (-.f64 beta alpha)))))) 2)
16.1%
(/.f64 (/.f64 (-.f64 (+.f64 beta 2) (neg.f64 beta)) alpha) 2)
17.4%
(/.f64 (/.f64 (-.f64 (+.f64 2 (*.f64 2 i)) (*.f64 -2 i)) alpha) 2)
47.4%
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)))) 2)
69.3%
(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) 3) 1) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))))) 2)
16.1%
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
82.5%
(/.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 (fma.f64 2 i beta) alpha) (-.f64 beta alpha))) 3)) (+.f64 (pow.f64 (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 (fma.f64 2 i beta) alpha) (-.f64 beta alpha))) 2) (/.f64 (/.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 4)) (+.f64 1 (pow.f64 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 2))) (+.f64 1 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))))))) 2)
82.5%
(/.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 (fma.f64 2 i beta) alpha) (-.f64 beta alpha))) 3)) (+.f64 (pow.f64 (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 (fma.f64 2 i beta) alpha) (-.f64 beta alpha))) 2) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 2)) 3)) (+.f64 1 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))))))) 2)
68.9%
(/.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)) (+.f64 (pow.f64 (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 (fma.f64 2 i beta) alpha) (-.f64 beta alpha))) 2) (/.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 2)) (+.f64 1 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))))))) 2)
8.5%
(/.f64 (/.f64 (*.f64 i 4) alpha) 2)
7.1%
(/.f64 (/.f64 (*.f64 beta 2) alpha) 2)
82.5%
(/.f64 (/.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 3))) (+.f64 (pow.f64 (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 (fma.f64 2 i beta) alpha) (-.f64 beta alpha))) 2) (/.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 2)) (+.f64 1 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))))))) 2)
69.3%
(/.f64 (-.f64 (+.f64 1 (/.f64 beta (+.f64 2 (+.f64 alpha beta)))) (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) 2)
28.1%
(/.f64 (-.f64 2 (/.f64 (*.f64 2 alpha) beta)) 2)
25.3%
(/.f64 (-.f64 2 (*.f64 4 (/.f64 i beta))) 2)
55.4%
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
52.3%
(/.f64 (+.f64 (/.f64 (/.f64 (+.f64 alpha beta) (*.f64 2 (/.f64 i (-.f64 beta alpha)))) (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 2 i) 2))) 1) 2)
69.3%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1) 2)
74.1%
(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
13.2%
(/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3))))) 2)
12.8%
(/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha))) 2)
18.6%
(/.f64 (exp.f64 (log.f64 (/.f64 (+.f64 (+.f64 2 (fma.f64 2 i beta)) (fma.f64 2 i beta)) alpha))) 2)
33.3%
(/.f64 2 2)
64.2%
(/.f64 1 2)
Compiler

Compiled 3182 to 2089 computations (34.3% saved)

regimes166.0ms (0.7%)

Counts
48 → 2
Calls
Call 1
Inputs
(/.f64 1 2)
(/.f64 2 2)
(/.f64 (/.f64 (*.f64 beta 2) alpha) 2)
(/.f64 (/.f64 (*.f64 i 4) alpha) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
(/.f64 (+.f64 (/.f64 (*.f64 1/2 beta) i) 1) 2)
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
(/.f64 (-.f64 2 (*.f64 4 (/.f64 i beta))) 2)
(/.f64 (-.f64 2 (/.f64 (*.f64 2 alpha) beta)) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(/.f64 (/.f64 (-.f64 (+.f64 beta 2) (neg.f64 beta)) alpha) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1) 2)
(/.f64 (/.f64 (-.f64 (+.f64 2 (*.f64 2 i)) (*.f64 -2 i)) alpha) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 2 i) 2))) 1) 2)
(/.f64 (+.f64 (/.f64 (neg.f64 alpha) (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 2 i) 2))) 1) 2)
(/.f64 (-.f64 (+.f64 1 (/.f64 beta (+.f64 2 (+.f64 alpha beta)))) (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) 2)
(/.f64 (/.f64 (-.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (*.f64 -1 (+.f64 beta (*.f64 2 i)))) alpha) 2)
(/.f64 (+.f64 (/.f64 (+.f64 (-.f64 beta alpha) (*.f64 -2 i)) (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 2 i) 2))) 1) 2)
(/.f64 (+.f64 (/.f64 (/.f64 (+.f64 alpha beta) (*.f64 2 (/.f64 i (-.f64 beta alpha)))) (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 2 i) 2))) 1) 2)
(/.f64 (-.f64 2 (/.f64 (-.f64 (-.f64 (neg.f64 alpha) (-.f64 (neg.f64 alpha) (+.f64 (*.f64 2 i) alpha))) (-.f64 -2 (+.f64 (*.f64 2 i) alpha))) beta)) 2)
(/.f64 (+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (+.f64 beta (*.f64 2 i))) (-.f64 beta alpha))) (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 2 i) 2))) 1) 2)
(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 (+.f64 2 beta) alpha)) 1) 2)
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)))) 2)
(/.f64 (pow.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3) 1/3) 2)
(/.f64 (pow.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))) 3) 1/3) 2)
(/.f64 (+.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))) 1) 2)
(/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha))) 2)
(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) 3) 1) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))))) 2)
(/.f64 (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) 1) 2)
(/.f64 (fma.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (fma.f64 2 i beta))) (-.f64 beta alpha)) (/.f64 1 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) 1) 2)
(/.f64 (-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 i)) (+.f64 2 (+.f64 beta (*.f64 2 i)))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 i)) (-.f64 beta (*.f64 -1 (+.f64 beta (*.f64 2 i))))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta (*.f64 2 i)) (-.f64 beta (*.f64 -1 (+.f64 beta (*.f64 2 i))))) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 i alpha)) (+.f64 (*.f64 2 (/.f64 1 alpha)) (/.f64 beta alpha)))))) (*.f64 -1 (/.f64 (+.f64 beta (*.f64 2 i)) alpha))) 2)
(/.f64 (exp.f64 (log.f64 (/.f64 (+.f64 (+.f64 2 (fma.f64 2 i beta)) (fma.f64 2 i beta)) alpha))) 2)
(/.f64 (pow.f64 (pow.f64 (+.f64 1 (/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))))) 3) 1/3) 2)
(/.f64 (pow.f64 (pow.f64 (/.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))))) 3) 1/3) 2)
(/.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) 3) 1) 3) (pow.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)))) 3)) 1/3) 2)
(/.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 1 (/.f64 (+.f64 beta alpha) (/.f64 (*.f64 (+.f64 alpha (fma.f64 2 i beta)) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (-.f64 beta alpha)))) 6) 1/6) 3) 1/3) 2)
(/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3))))) 2)
(/.f64 (-.f64 (+.f64 (*.f64 -1 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (*.f64 (+.f64 beta (*.f64 2 i)) (-.f64 (+.f64 beta (*.f64 -1 beta)) (*.f64 -1 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))))))) (*.f64 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))) (-.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1 (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i)))) (*.f64 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))) (-.f64 (+.f64 beta (*.f64 -1 beta)) (*.f64 -1 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i)))))))))) (pow.f64 alpha 3))) (+.f64 (/.f64 beta alpha) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))) alpha)) (/.f64 (*.f64 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))) (-.f64 (+.f64 beta (*.f64 -1 beta)) (*.f64 -1 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i)))))) (pow.f64 alpha 2))))) 2)
(/.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 (fma.f64 2 i beta) alpha) (-.f64 beta alpha))) 3)) (+.f64 (pow.f64 (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 (fma.f64 2 i beta) alpha) (-.f64 beta alpha))) 2) (-.f64 1 (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 (fma.f64 2 i beta) alpha) (-.f64 beta alpha)))))) 2)
(/.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)) (+.f64 (pow.f64 (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 (fma.f64 2 i beta) alpha) (-.f64 beta alpha))) 2) (/.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 2)) (+.f64 1 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))))))) 2)
(/.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (+.f64 beta alpha) (/.f64 (*.f64 (+.f64 alpha (fma.f64 2 i beta)) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (-.f64 beta alpha))) 3)) (-.f64 (+.f64 1 (pow.f64 (/.f64 (+.f64 beta alpha) (/.f64 (*.f64 (+.f64 alpha (fma.f64 2 i beta)) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (-.f64 beta alpha))) 2)) (/.f64 (+.f64 beta alpha) (/.f64 (*.f64 (+.f64 alpha (fma.f64 2 i beta)) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (-.f64 beta alpha))))) 3) 1/3) 2)
(/.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 (fma.f64 2 i beta) alpha) (-.f64 beta alpha))) 3)) (+.f64 (pow.f64 (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 (fma.f64 2 i beta) alpha) (-.f64 beta alpha))) 2) (/.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 2)) (+.f64 1 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))))))) 2)
(/.f64 (/.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 3))) (+.f64 (pow.f64 (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 (fma.f64 2 i beta) alpha) (-.f64 beta alpha))) 2) (/.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 2)) (+.f64 1 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))))))) 2)
(/.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 (fma.f64 2 i beta) alpha) (-.f64 beta alpha))) 3)) (+.f64 (pow.f64 (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 (fma.f64 2 i beta) alpha) (-.f64 beta alpha))) 2) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 2)) 3)) (+.f64 1 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))))))) 2)
(/.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 (fma.f64 2 i beta) alpha) (-.f64 beta alpha))) 3)) (+.f64 (pow.f64 (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 (fma.f64 2 i beta) alpha) (-.f64 beta alpha))) 2) (/.f64 (/.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 4)) (+.f64 1 (pow.f64 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 2))) (+.f64 1 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))))))) 2)
(/.f64 (/.f64 (-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 (-.f64 (+.f64 beta (*.f64 -1 beta)) (*.f64 -1 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))))) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (-.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1 (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i)))) (*.f64 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))) (-.f64 (+.f64 beta (*.f64 -1 beta)) (*.f64 -1 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))))))))) (pow.f64 (-.f64 (+.f64 beta (*.f64 -1 beta)) (*.f64 -1 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))))) 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 (-.f64 (+.f64 beta (*.f64 -1 beta)) (*.f64 -1 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))))) alpha)) (+.f64 (/.f64 beta alpha) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))) alpha)) (/.f64 (*.f64 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i))) (-.f64 (+.f64 beta (*.f64 -1 beta)) (*.f64 -1 (+.f64 2 (+.f64 (*.f64 2 beta) (*.f64 4 i)))))) (pow.f64 alpha 2))))) (+.f64 (pow.f64 (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 (fma.f64 2 i beta) alpha) (-.f64 beta alpha))) 2) (-.f64 1 (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) (fma.f64 2 i 2))) (/.f64 (+.f64 (fma.f64 2 i beta) alpha) (-.f64 beta alpha)))))) 2)
Outputs
(/.f64 (/.f64 (-.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (*.f64 -1 (+.f64 beta (*.f64 2 i)))) alpha) 2)
(/.f64 (+.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))) 1) 2)
Calls

7 calls:

45.0ms
alpha
26.0ms
beta
26.0ms
(*.f64 2 i)
24.0ms
i
23.0ms
(/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2))
Results
AccuracySegmentsBranch
92.6%2alpha
83.4%1beta
83.4%1i
97.9%2(/.f64 (+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
97.9%2(+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1)
97.9%2(/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2))
83.4%1(*.f64 2 i)
Compiler

Compiled 108 to 68 computations (37% saved)

regimes30.0ms (0.1%)

Counts
27 → 2
Calls
Call 1
Inputs
(/.f64 1 2)
(/.f64 2 2)
(/.f64 (/.f64 (*.f64 beta 2) alpha) 2)
(/.f64 (/.f64 (*.f64 i 4) alpha) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
(/.f64 (+.f64 (/.f64 (*.f64 1/2 beta) i) 1) 2)
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
(/.f64 (-.f64 2 (*.f64 4 (/.f64 i beta))) 2)
(/.f64 (-.f64 2 (/.f64 (*.f64 2 alpha) beta)) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(/.f64 (/.f64 (-.f64 (+.f64 beta 2) (neg.f64 beta)) alpha) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1) 2)
(/.f64 (/.f64 (-.f64 (+.f64 2 (*.f64 2 i)) (*.f64 -2 i)) alpha) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 2 i) 2))) 1) 2)
(/.f64 (+.f64 (/.f64 (neg.f64 alpha) (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 2 i) 2))) 1) 2)
(/.f64 (-.f64 (+.f64 1 (/.f64 beta (+.f64 2 (+.f64 alpha beta)))) (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) 2)
(/.f64 (/.f64 (-.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (*.f64 -1 (+.f64 beta (*.f64 2 i)))) alpha) 2)
(/.f64 (+.f64 (/.f64 (+.f64 (-.f64 beta alpha) (*.f64 -2 i)) (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 2 i) 2))) 1) 2)
(/.f64 (+.f64 (/.f64 (/.f64 (+.f64 alpha beta) (*.f64 2 (/.f64 i (-.f64 beta alpha)))) (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 2 i) 2))) 1) 2)
(/.f64 (-.f64 2 (/.f64 (-.f64 (-.f64 (neg.f64 alpha) (-.f64 (neg.f64 alpha) (+.f64 (*.f64 2 i) alpha))) (-.f64 -2 (+.f64 (*.f64 2 i) alpha))) beta)) 2)
(/.f64 (+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (+.f64 beta (*.f64 2 i))) (-.f64 beta alpha))) (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 2 i) 2))) 1) 2)
(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 (+.f64 2 beta) alpha)) 1) 2)
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)))) 2)
(/.f64 (pow.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3) 1/3) 2)
(/.f64 (pow.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))) 3) 1/3) 2)
Outputs
(/.f64 (/.f64 (-.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (*.f64 -1 (+.f64 beta (*.f64 2 i)))) alpha) 2)
(/.f64 (+.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (+.f64 beta (*.f64 2 i))) (-.f64 beta alpha))) (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 2 i) 2))) 1) 2)
Calls

3 calls:

14.0ms
(/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2))
7.0ms
(+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1)
6.0ms
(/.f64 (+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
Results
AccuracySegmentsBranch
97.9%2(/.f64 (+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
97.9%2(+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1)
97.9%2(/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2))
Compiler

Compiled 90 to 54 computations (40% saved)

regimes26.0ms (0.1%)

Counts
22 → 2
Calls
Call 1
Inputs
(/.f64 1 2)
(/.f64 2 2)
(/.f64 (/.f64 (*.f64 beta 2) alpha) 2)
(/.f64 (/.f64 (*.f64 i 4) alpha) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
(/.f64 (+.f64 (/.f64 (*.f64 1/2 beta) i) 1) 2)
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
(/.f64 (-.f64 2 (*.f64 4 (/.f64 i beta))) 2)
(/.f64 (-.f64 2 (/.f64 (*.f64 2 alpha) beta)) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(/.f64 (/.f64 (-.f64 (+.f64 beta 2) (neg.f64 beta)) alpha) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1) 2)
(/.f64 (/.f64 (-.f64 (+.f64 2 (*.f64 2 i)) (*.f64 -2 i)) alpha) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 2 i) 2))) 1) 2)
(/.f64 (+.f64 (/.f64 (neg.f64 alpha) (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 2 i) 2))) 1) 2)
(/.f64 (-.f64 (+.f64 1 (/.f64 beta (+.f64 2 (+.f64 alpha beta)))) (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) 2)
(/.f64 (/.f64 (-.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (*.f64 -1 (+.f64 beta (*.f64 2 i)))) alpha) 2)
(/.f64 (+.f64 (/.f64 (+.f64 (-.f64 beta alpha) (*.f64 -2 i)) (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 2 i) 2))) 1) 2)
(/.f64 (+.f64 (/.f64 (/.f64 (+.f64 alpha beta) (*.f64 2 (/.f64 i (-.f64 beta alpha)))) (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 2 i) 2))) 1) 2)
(/.f64 (-.f64 2 (/.f64 (-.f64 (-.f64 (neg.f64 alpha) (-.f64 (neg.f64 alpha) (+.f64 (*.f64 2 i) alpha))) (-.f64 -2 (+.f64 (*.f64 2 i) alpha))) beta)) 2)
(/.f64 (+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
Outputs
(/.f64 (/.f64 (-.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (*.f64 -1 (+.f64 beta (*.f64 2 i)))) alpha) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 2 i) 2))) 1) 2)
Calls

3 calls:

12.0ms
(/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2))
7.0ms
(+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1)
6.0ms
(/.f64 (+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
Results
AccuracySegmentsBranch
96.3%2(/.f64 (+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
96.3%2(+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1)
96.3%2(/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2))
Compiler

Compiled 90 to 54 computations (40% saved)

regimes21.0ms (0.1%)

Counts
17 → 2
Calls
Call 1
Inputs
(/.f64 1 2)
(/.f64 2 2)
(/.f64 (/.f64 (*.f64 beta 2) alpha) 2)
(/.f64 (/.f64 (*.f64 i 4) alpha) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
(/.f64 (+.f64 (/.f64 (*.f64 1/2 beta) i) 1) 2)
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
(/.f64 (-.f64 2 (*.f64 4 (/.f64 i beta))) 2)
(/.f64 (-.f64 2 (/.f64 (*.f64 2 alpha) beta)) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(/.f64 (/.f64 (-.f64 (+.f64 beta 2) (neg.f64 beta)) alpha) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1) 2)
(/.f64 (/.f64 (-.f64 (+.f64 2 (*.f64 2 i)) (*.f64 -2 i)) alpha) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 2 i) 2))) 1) 2)
(/.f64 (+.f64 (/.f64 (neg.f64 alpha) (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 2 i) 2))) 1) 2)
(/.f64 (-.f64 (+.f64 1 (/.f64 beta (+.f64 2 (+.f64 alpha beta)))) (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) 2)
Outputs
(/.f64 (+.f64 (/.f64 beta (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 2 i) 2))) 1) 2)
(/.f64 (/.f64 (-.f64 (+.f64 2 (*.f64 2 i)) (*.f64 -2 i)) alpha) 2)
Calls

1 calls:

20.0ms
alpha
Results
AccuracySegmentsBranch
88.5%2alpha
Compiler

Compiled 4 to 3 computations (25% saved)

regimes49.0ms (0.2%)

Counts
14 → 2
Calls
Call 1
Inputs
(/.f64 1 2)
(/.f64 2 2)
(/.f64 (/.f64 (*.f64 beta 2) alpha) 2)
(/.f64 (/.f64 (*.f64 i 4) alpha) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
(/.f64 (+.f64 (/.f64 (*.f64 1/2 beta) i) 1) 2)
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
(/.f64 (-.f64 2 (*.f64 4 (/.f64 i beta))) 2)
(/.f64 (-.f64 2 (/.f64 (*.f64 2 alpha) beta)) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(/.f64 (/.f64 (-.f64 (+.f64 beta 2) (neg.f64 beta)) alpha) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1) 2)
(/.f64 (/.f64 (-.f64 (+.f64 2 (*.f64 2 i)) (*.f64 -2 i)) alpha) 2)
Outputs
(/.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) 1) 2)
(/.f64 (/.f64 (-.f64 (+.f64 2 (*.f64 2 i)) (*.f64 -2 i)) alpha) 2)
Calls

3 calls:

16.0ms
alpha
16.0ms
beta
16.0ms
i
Results
AccuracySegmentsBranch
79.3%2i
77.5%2beta
82.0%2alpha
Compiler

Compiled 12 to 9 computations (25% saved)

regimes18.0ms (0.1%)

Counts
13 → 2
Calls
Call 1
Inputs
(/.f64 1 2)
(/.f64 2 2)
(/.f64 (/.f64 (*.f64 beta 2) alpha) 2)
(/.f64 (/.f64 (*.f64 i 4) alpha) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
(/.f64 (+.f64 (/.f64 (*.f64 1/2 beta) i) 1) 2)
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
(/.f64 (-.f64 2 (*.f64 4 (/.f64 i beta))) 2)
(/.f64 (-.f64 2 (/.f64 (*.f64 2 alpha) beta)) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(/.f64 (/.f64 (-.f64 (+.f64 beta 2) (neg.f64 beta)) alpha) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1) 2)
Outputs
(/.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) 1) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
Calls

1 calls:

15.0ms
alpha
Results
AccuracySegmentsBranch
80.3%2alpha
Compiler

Compiled 4 to 3 computations (25% saved)

regimes14.0ms (0.1%)

Counts
11 → 2
Calls
Call 1
Inputs
(/.f64 1 2)
(/.f64 2 2)
(/.f64 (/.f64 (*.f64 beta 2) alpha) 2)
(/.f64 (/.f64 (*.f64 i 4) alpha) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
(/.f64 (+.f64 (/.f64 (*.f64 1/2 beta) i) 1) 2)
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
(/.f64 (-.f64 2 (*.f64 4 (/.f64 i beta))) 2)
(/.f64 (-.f64 2 (/.f64 (*.f64 2 alpha) beta)) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(/.f64 (/.f64 (-.f64 (+.f64 beta 2) (neg.f64 beta)) alpha) 2)
Outputs
(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
Calls

1 calls:

14.0ms
alpha
Results
AccuracySegmentsBranch
79.9%2alpha
Compiler

Compiled 4 to 3 computations (25% saved)

regimes23.0ms (0.1%)

Counts
9 → 2
Calls
Call 1
Inputs
(/.f64 1 2)
(/.f64 2 2)
(/.f64 (/.f64 (*.f64 beta 2) alpha) 2)
(/.f64 (/.f64 (*.f64 i 4) alpha) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
(/.f64 (+.f64 (/.f64 (*.f64 1/2 beta) i) 1) 2)
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
(/.f64 (-.f64 2 (*.f64 4 (/.f64 i beta))) 2)
(/.f64 (-.f64 2 (/.f64 (*.f64 2 alpha) beta)) 2)
Outputs
(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
(/.f64 1 2)
Calls

2 calls:

12.0ms
alpha
11.0ms
i
Results
AccuracySegmentsBranch
79.0%2i
77.7%2alpha
Compiler

Compiled 8 to 6 computations (25% saved)

regimes22.0ms (0.1%)

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

3 calls:

10.0ms
beta
7.0ms
alpha
4.0ms
i
Results
AccuracySegmentsBranch
77.1%2beta
67.8%2alpha
64.2%1i
Compiler

Compiled 12 to 9 computations (25% saved)

regimes8.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

3.0ms
beta
3.0ms
alpha
3.0ms
i
Results
AccuracySegmentsBranch
64.2%1i
64.2%1alpha
64.2%1beta
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch3.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999999999999996
-0.9999999849343397
Compiler

Compiled 38 to 25 computations (34.2% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999999999999996
-0.9999999849343397
Compiler

Compiled 38 to 25 computations (34.2% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9976777316536269
-0.002994160246004905
Compiler

Compiled 38 to 25 computations (34.2% saved)

bsearch30.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
30.0ms
1.9855834388011313e+142
6.603587306828429e+146
Results
11.0ms66×256valid
8.0ms29×512valid
6.0ms17×1024valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms512valid
0.0ms256valid
0.0ms512valid
0.0ms512valid
0.0ms512valid
0.0ms512valid
0.0ms512valid
0.0ms256valid
Compiler

Compiled 326 to 257 computations (21.2% saved)

bsearch33.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
32.0ms
1.9855834388011313e+142
6.603587306828429e+146
Results
8.0ms52×256valid
10.0ms37×512valid
8.0ms23×1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms512valid
Compiler

Compiled 294 to 233 computations (20.7% saved)

bsearch35.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
35.0ms
2.3314339928539055e+185
9.801010939802186e+186
Results
20.0ms48×1024valid
6.0ms39×256valid
2.0ms512valid
1.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
Compiler

Compiled 234 to 186 computations (20.5% saved)

bsearch33.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
32.0ms
2.3314339928539055e+185
9.801010939802186e+186
Results
7.0ms44×256valid
16.0ms39×1024valid
3.0ms13×512valid
0.0ms512valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
Compiler

Compiled 220 to 179 computations (18.6% saved)

bsearch16.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
16.0ms
2.26734585907366e+127
4.862649159814312e+127
Results
9.0ms59×256valid
2.0ms1024valid
1.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
Compiler

Compiled 138 to 115 computations (16.7% saved)

bsearch27.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
27.0ms
2.4320437635491257e+102
4.235291381620249e+109
Results
17.0ms110×256valid
4.0ms12×512valid
2.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
Compiler

Compiled 164 to 151 computations (7.9% saved)

simplify61.0ms (0.3%)

Algorithm
egg-herbie
Rules
184×unsub-neg
114×distribute-lft-neg-in
110×neg-mul-1
102×+-commutative
78×neg-sub0
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0961241
11381229
21651229
32011229
42401229
53001229
63721229
74571229
85451229
95891229
106171229
116411229
126541229
136561229
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) -9007199164668999/9007199254740992) (/.f64 (/.f64 (-.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (*.f64 -1 (+.f64 beta (*.f64 2 i)))) alpha) 2) (/.f64 (+.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))) 1) 2))
(if (<=.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) -9007199164668999/9007199254740992) (/.f64 (/.f64 (-.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (*.f64 -1 (+.f64 beta (*.f64 2 i)))) alpha) 2) (/.f64 (+.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (+.f64 beta (*.f64 2 i))) (-.f64 beta alpha))) (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 2 i) 2))) 1) 2))
(if (<=.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) -1/2) (/.f64 (/.f64 (-.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (*.f64 -1 (+.f64 beta (*.f64 2 i)))) alpha) 2) (/.f64 (+.f64 (/.f64 beta (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 2 i) 2))) 1) 2))
(if (<=.f64 alpha 129999999999999994422313412497097260280581205170592111132684587977704068432713985013171504775510756236894956911963033535505609457699548639002624) (/.f64 (+.f64 (/.f64 beta (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 2 i) 2))) 1) 2) (/.f64 (/.f64 (-.f64 (+.f64 2 (*.f64 2 i)) (*.f64 -2 i)) alpha) 2))
(if (<=.f64 alpha 144999999999999990446198500813090622550438911364454057325353632533044231171969948891348375752461969648875136911252544499468743528054818879832064) (/.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) 1) 2) (/.f64 (/.f64 (-.f64 (+.f64 2 (*.f64 2 i)) (*.f64 -2 i)) alpha) 2))
(if (<=.f64 alpha 289999999999999988050602929224111236034580211460153853632539361831355366485882641517491059544576672334991968019318547848126817780811398436207544078297154714896954765640859725677167902720) (/.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 234999999999999986152495560085423819830444426816862450035282618955543358771711740269002300094785811486767449750651907348413524719469821602007537161461716260624570377472894143332165353472) (/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2))
(if (<=.f64 i 37499999999999998009228049848622372812522327688653075940211231174177126988058660476956207856447834114904424621950665927847575552) (/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2) (/.f64 1 2))
(if (<=.f64 beta 5999999999999999613635461386578698692989932246134479986551900449718101992852751021239819260622381514752) (/.f64 1 2) (/.f64 2 2))
(/.f64 1 2)
Outputs
(if (<=.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) -9007199164668999/9007199254740992) (/.f64 (/.f64 (-.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (*.f64 -1 (+.f64 beta (*.f64 2 i)))) alpha) 2) (/.f64 (+.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))) 1) 2))
(if (<=.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) (+.f64 2 (+.f64 (+.f64 alpha beta) (*.f64 2 i)))) -9007199164668999/9007199254740992) (/.f64 (/.f64 (-.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (neg.f64 (+.f64 beta (*.f64 2 i)))) alpha) 2) (/.f64 (+.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))) 1) 2))
(if (<=.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) (+.f64 2 (+.f64 (+.f64 alpha beta) (*.f64 2 i)))) -9007199164668999/9007199254740992) (/.f64 (/.f64 (+.f64 (+.f64 beta (*.f64 2 i)) (+.f64 2 (+.f64 beta (*.f64 2 i)))) alpha) 2) (/.f64 (+.f64 (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))) 1) 2))
(if (<=.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) -9007199164668999/9007199254740992) (/.f64 (/.f64 (-.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (*.f64 -1 (+.f64 beta (*.f64 2 i)))) alpha) 2) (/.f64 (+.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (+.f64 beta (*.f64 2 i))) (-.f64 beta alpha))) (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 2 i) 2))) 1) 2))
(if (<=.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) (+.f64 2 (+.f64 (+.f64 alpha beta) (*.f64 2 i)))) -9007199164668999/9007199254740992) (/.f64 (/.f64 (-.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (neg.f64 (+.f64 beta (*.f64 2 i)))) alpha) 2) (/.f64 (+.f64 1 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (+.f64 beta (*.f64 2 i))) (-.f64 beta alpha))) (+.f64 (+.f64 alpha beta) (+.f64 2 (*.f64 2 i))))) 2))
(if (<=.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) (+.f64 2 (+.f64 (+.f64 alpha beta) (*.f64 2 i)))) -9007199164668999/9007199254740992) (/.f64 (/.f64 (+.f64 (+.f64 beta (*.f64 2 i)) (+.f64 2 (+.f64 beta (*.f64 2 i)))) alpha) 2) (/.f64 (+.f64 1 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (+.f64 beta (*.f64 2 i))) (-.f64 beta alpha))) (+.f64 (+.f64 alpha beta) (+.f64 2 (*.f64 2 i))))) 2))
(if (<=.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) -1/2) (/.f64 (/.f64 (-.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (*.f64 -1 (+.f64 beta (*.f64 2 i)))) alpha) 2) (/.f64 (+.f64 (/.f64 beta (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 2 i) 2))) 1) 2))
(if (<=.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) (+.f64 2 (+.f64 (+.f64 alpha beta) (*.f64 2 i)))) -1/2) (/.f64 (/.f64 (-.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (neg.f64 (+.f64 beta (*.f64 2 i)))) alpha) 2) (/.f64 (+.f64 1 (/.f64 beta (+.f64 (+.f64 alpha beta) (+.f64 2 (*.f64 2 i))))) 2))
(if (<=.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) (+.f64 2 (+.f64 (+.f64 alpha beta) (*.f64 2 i)))) -1/2) (/.f64 (/.f64 (+.f64 (+.f64 beta (*.f64 2 i)) (+.f64 2 (+.f64 beta (*.f64 2 i)))) alpha) 2) (/.f64 (+.f64 1 (/.f64 beta (+.f64 (+.f64 alpha beta) (+.f64 2 (*.f64 2 i))))) 2))
(if (<=.f64 alpha 129999999999999994422313412497097260280581205170592111132684587977704068432713985013171504775510756236894956911963033535505609457699548639002624) (/.f64 (+.f64 (/.f64 beta (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 2 i) 2))) 1) 2) (/.f64 (/.f64 (-.f64 (+.f64 2 (*.f64 2 i)) (*.f64 -2 i)) alpha) 2))
(if (<=.f64 alpha 129999999999999994422313412497097260280581205170592111132684587977704068432713985013171504775510756236894956911963033535505609457699548639002624) (/.f64 (+.f64 1 (/.f64 beta (+.f64 (+.f64 alpha beta) (+.f64 2 (*.f64 2 i))))) 2) (/.f64 (/.f64 (-.f64 (+.f64 2 (*.f64 2 i)) (*.f64 i -2)) alpha) 2))
(if (<=.f64 alpha 144999999999999990446198500813090622550438911364454057325353632533044231171969948891348375752461969648875136911252544499468743528054818879832064) (/.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) 1) 2) (/.f64 (/.f64 (-.f64 (+.f64 2 (*.f64 2 i)) (*.f64 -2 i)) alpha) 2))
(if (<=.f64 alpha 144999999999999990446198500813090622550438911364454057325353632533044231171969948891348375752461969648875136911252544499468743528054818879832064) (/.f64 (+.f64 1 (/.f64 beta (+.f64 (+.f64 alpha beta) 2))) 2) (/.f64 (/.f64 (-.f64 (+.f64 2 (*.f64 2 i)) (*.f64 i -2)) alpha) 2))
(if (<=.f64 alpha 289999999999999988050602929224111236034580211460153853632539361831355366485882641517491059544576672334991968019318547848126817780811398436207544078297154714896954765640859725677167902720) (/.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 289999999999999988050602929224111236034580211460153853632539361831355366485882641517491059544576672334991968019318547848126817780811398436207544078297154714896954765640859725677167902720) (/.f64 (+.f64 1 (/.f64 beta (+.f64 (+.f64 alpha beta) 2))) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2))
(if (<=.f64 alpha 234999999999999986152495560085423819830444426816862450035282618955543358771711740269002300094785811486767449750651907348413524719469821602007537161461716260624570377472894143332165353472) (/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 234999999999999986152495560085423819830444426816862450035282618955543358771711740269002300094785811486767449750651907348413524719469821602007537161461716260624570377472894143332165353472) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2))
(if (<=.f64 i 37499999999999998009228049848622372812522327688653075940211231174177126988058660476956207856447834114904424621950665927847575552) (/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2) (/.f64 1 2))
(if (<=.f64 i 37499999999999998009228049848622372812522327688653075940211231174177126988058660476956207856447834114904424621950665927847575552) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) 1/2)
(if (<=.f64 beta 5999999999999999613635461386578698692989932246134479986551900449718101992852751021239819260622381514752) (/.f64 1 2) (/.f64 2 2))
(if (<=.f64 beta 5999999999999999613635461386578698692989932246134479986551900449718101992852751021239819260622381514752) 1/2 1)
(/.f64 1 2)
1/2
Compiler

Compiled 363 to 250 computations (31.1% saved)

soundness1.6s (6.9%)

Rules
1656×div-sub
1656×div-sub
1656×div-sub
1330×times-frac
976×distribute-rgt-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0821309
12091213
27551153
341271121
0821309
12091213
27551153
341271121
01966122959
16446121001
0821309
12091213
27551153
341271121
01784121830
15866121198
Stop Event
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 237 to 146 computations (38.4% saved)

end0.0ms (0%)

preprocess159.0ms (0.7%)

Compiler

Compiled 736 to 468 computations (36.4% saved)

Profiling

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