Octave 3.8, jcobi/1

Time bar (total: 8.2s)

analyze0.0ms (0%)

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

Compiled 22 to 16 computations (27.3% saved)

sample1.4s (17%)

Results
776.0ms6493×body256valid
480.0ms1021×body1024valid
101.0ms632×body512valid
29.0ms110×body2048valid
Bogosity

preprocess64.0ms (0.8%)

Algorithm
egg-herbie
Rules
1532×fma-neg
1190×div-sub
1020×sub-neg
840×distribute-rgt-in
668×distribute-lft-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
033156
177152
2172152
3465148
41355148
53852148
Stop Event
node limit
Calls
Call 1
Inputs
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta (neg.f64 alpha)) (+.f64 (+.f64 (neg.f64 alpha) beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 (neg.f64 beta) alpha) (+.f64 (+.f64 alpha (neg.f64 beta)) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 alpha beta) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
Outputs
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 2)
(-.f64 1/2 (/.f64 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))) 2))
(+.f64 1/2 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2))
(/.f64 (+.f64 (/.f64 (-.f64 beta (neg.f64 alpha)) (+.f64 (+.f64 (neg.f64 alpha) beta) 2)) 1) 2)
(/.f64 (+.f64 1 (/.f64 (-.f64 beta (neg.f64 alpha)) (+.f64 2 (-.f64 beta alpha)))) 2)
(/.f64 (+.f64 1 (/.f64 (+.f64 beta alpha) (+.f64 2 (-.f64 beta alpha)))) 2)
(/.f64 (+.f64 1 (/.f64 (+.f64 beta alpha) (+.f64 beta (-.f64 2 alpha)))) 2)
(-.f64 (/.f64 (/.f64 (+.f64 beta alpha) (-.f64 beta (+.f64 alpha -2))) 2) -1/2)
(+.f64 (/.f64 (/.f64 (+.f64 beta alpha) (-.f64 (+.f64 beta 2) alpha)) 2) 1/2)
(/.f64 (+.f64 (/.f64 (-.f64 (neg.f64 beta) alpha) (+.f64 (+.f64 alpha (neg.f64 beta)) 2)) 1) 2)
(/.f64 (+.f64 1 (/.f64 (-.f64 (neg.f64 beta) alpha) (+.f64 2 (-.f64 alpha beta)))) 2)
(/.f64 (+.f64 1 (/.f64 (neg.f64 (+.f64 beta alpha)) (+.f64 alpha (-.f64 2 beta)))) 2)
(/.f64 (-.f64 1 (/.f64 (+.f64 beta alpha) (+.f64 alpha (-.f64 2 beta)))) 2)
(-.f64 (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (-.f64 -2 alpha))) 2) -1/2)
(+.f64 1/2 (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (-.f64 -2 alpha))) 2))
(/.f64 (+.f64 (/.f64 (-.f64 alpha beta) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
(/.f64 (+.f64 1 (/.f64 (-.f64 alpha beta) (+.f64 (+.f64 beta alpha) 2))) 2)
(/.f64 (+.f64 1 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2)))) 2)
(/.f64 (+.f64 1 (/.f64 (-.f64 alpha beta) (+.f64 beta (+.f64 alpha 2)))) 2)
(-.f64 1/2 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2))
Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify71.0ms (0.9%)

Algorithm
egg-herbie
Rules
1100×sub-neg
934×fma-def
868×associate-/l*
754×div-sub
678×cancel-sign-sub-inv
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01237
12537
24237
37037
412237
524233
644933
775933
8161633
9379633
10762933
Stop Event
node limit
Counts
1 → 6
Calls
Call 1
Inputs
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
Outputs
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
(+.f64 1/2 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) 2 4)))
(-.f64 1/2 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) -2 -4)))

eval2.0ms (0%)

Compiler

Compiled 78 to 47 computations (39.7% saved)

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New516
Fresh101
Picked000
Done000
Total617
Accurracy
74.0%
Counts
7 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.0%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
74.0%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
Compiler

Compiled 30 to 22 computations (26.7% saved)

localize54.0ms (0.7%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
100.0%
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))
74.1%
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)
Compiler

Compiled 51 to 24 computations (52.9% saved)

series8.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite89.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
1232×log-prod
1174×fma-def
578×pow-exp
550×fma-neg
470×log1p-udef
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01156
125956
2390256
Stop Event
node limit
Counts
2 → 144
Calls
Call 1
Inputs
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))
Outputs
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 1)
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))
(-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))
(*.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))
(*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1)
(*.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(*.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))))
(/.f64 1 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)) (neg.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2)
(pow.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))) -1)
(pow.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)) -1)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1)
(fma.f64 (-.f64 beta alpha) (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) 1)
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1 1)
(fma.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)
(fma.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (*.f64 (cbrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) 1)
(fma.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 1)
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) 1)
(fma.f64 (sqrt.f64 (-.f64 beta alpha)) (*.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) 1)
(fma.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)
(fma.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) 1)
(fma.f64 (neg.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 -2 (neg.f64 (+.f64 beta alpha)))) 1)
(fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1)
(fma.f64 (*.f64 (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1)
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 beta (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1)
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 beta (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) 1) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))) 1)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1)
(fma.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) 1) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))) 1)
(fma.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (cbrt.f64 beta) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (-.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4) (*.f64 (+.f64 beta alpha) 2)) 1)
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2)) 1)
(fma.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (-.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4) (*.f64 (+.f64 beta alpha) 2)) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2)) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(+.f64 0 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
(+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (cbrt.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(-.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1)
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))
(*.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (-.f64 beta alpha) (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1))
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)
(*.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (*.f64 (cbrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1))
(*.f64 (sqrt.f64 (-.f64 beta alpha)) (*.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1))
(*.f64 (neg.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 -2 (neg.f64 (+.f64 beta alpha)))))
(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) 1) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) 1) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (-.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4) (*.f64 (+.f64 beta alpha) 2)))
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2)))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)
(pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -1)
(pow.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) 1) -1)
(neg.f64 (/.f64 (-.f64 beta alpha) (+.f64 -2 (neg.f64 (+.f64 beta alpha)))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(expm1.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1))
(exp.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) -1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) -1)
(fma.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1 -1)
(fma.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) -1)
(fma.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) -1)
(fma.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) -1)
(fma.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) -1)
(fma.f64 (*.f64 (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 beta (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 beta (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (cbrt.f64 beta) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (-.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4) (*.f64 (+.f64 beta alpha) 2)) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2)) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))

simplify128.0ms (1.6%)

Algorithm
egg-herbie
Rules
1380×fma-neg
852×unswap-sqr
698×sub-neg
548×fma-def
448×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
051010982
1140910596
2497310328
Stop Event
node limit
Counts
192 → 390
Calls
Call 1
Inputs
(-.f64 1 (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) 1) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (*.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 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (+.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 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))))) (/.f64 alpha (+.f64 2 alpha)))
2
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)))))) (+.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 (*.f64 -1 (/.f64 alpha beta)) 2) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 2 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta))))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2)))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2))))))
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(-.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))) (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)))
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))))) (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 4) (*.f64 beta (pow.f64 (+.f64 beta 2) 3))) (pow.f64 alpha 4))) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))))
(*.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 -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 -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 3) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))))) (+.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 -1 (/.f64 alpha (+.f64 2 alpha))))))
1
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 1) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) 1)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta))))
1
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 1) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) 1)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta))))
(/.f64 beta (+.f64 beta 2))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)) (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)) (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2)))))
-1
(-.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1))
(-.f64 (+.f64 (/.f64 beta alpha) (*.f64 -1 (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1))
(-.f64 (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1))
-1
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) 1)
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(fma.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) -1)
(fma.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) -1)
(fma.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) -1)
(fma.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) -1)
(fma.f64 (*.f64 (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 beta (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 beta (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (cbrt.f64 beta) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (-.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4) (*.f64 (+.f64 beta alpha) 2)) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2)) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
Outputs
(-.f64 1 (/.f64 alpha (+.f64 2 alpha)))
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) 1) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (/.f64 alpha (+.f64 alpha 2)))
(+.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (fma.f64 beta (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 beta (+.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (*.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 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (*.f64 (*.f64 beta beta) (-.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 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (fma.f64 (*.f64 beta beta) (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))) 1)) (/.f64 alpha (+.f64 alpha 2)))
(+.f64 (fma.f64 beta (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 beta (+.f64 alpha 2))) (-.f64 (fma.f64 (*.f64 beta beta) (-.f64 (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3))) 1) (/.f64 alpha (+.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (+.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 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))))) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (fma.f64 (*.f64 beta beta) (-.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 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)))))) (/.f64 alpha (+.f64 alpha 2)))
(+.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (fma.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 (*.f64 beta beta) (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))))
(+.f64 (fma.f64 beta (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 beta (+.f64 alpha 2))) (+.f64 (fma.f64 (*.f64 beta beta) (-.f64 (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3))) 1) (fma.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3))) (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))))
2
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2)
(fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2)
(-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(-.f64 (+.f64 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2) (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha))) (neg.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))))
(+.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) (+.f64 (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))))
(+.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) (fma.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)))))) (+.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 (+.f64 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2) (+.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)) (neg.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) alpha))))) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))))
(+.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) (-.f64 (-.f64 (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta)) (*.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3)) alpha)) (-.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))))
(+.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) (+.f64 (fma.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta) (/.f64 (neg.f64 (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (pow.f64 beta 3) alpha))) (-.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (pow.f64 (/.f64 (+.f64 alpha 2) beta) 3))))
2
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(-.f64 (fma.f64 -1 (/.f64 alpha beta) 2) (+.f64 (/.f64 alpha beta) (/.f64 2 beta)))
(-.f64 (-.f64 2 (/.f64 alpha beta)) (+.f64 (/.f64 alpha beta) (/.f64 2 beta)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta))))
(-.f64 (fma.f64 -1 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (*.f64 beta beta) (+.f64 alpha 2))) (fma.f64 -1 (/.f64 alpha beta) 2)) (+.f64 (/.f64 alpha beta) (/.f64 2 beta)))
(-.f64 (-.f64 (-.f64 2 (/.f64 alpha beta)) (*.f64 (/.f64 (+.f64 alpha 2) beta) (/.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) beta))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta)))
(+.f64 (-.f64 2 (/.f64 alpha beta)) (-.f64 (/.f64 (*.f64 (+.f64 alpha (+.f64 alpha 2)) (+.f64 alpha 2)) (*.f64 beta beta)) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 2 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta))))
(-.f64 (fma.f64 -1 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (*.f64 beta beta) (+.f64 alpha 2))) (+.f64 (fma.f64 -1 (/.f64 alpha beta) 2) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) (-.f64 (neg.f64 alpha) (+.f64 alpha 2)))))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta)))
(-.f64 (+.f64 (-.f64 (-.f64 2 (/.f64 alpha beta)) (*.f64 (/.f64 (+.f64 alpha 2) beta) (/.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) beta))) (*.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3)) (-.f64 (fma.f64 alpha -1 -2) alpha))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta)))
(+.f64 (+.f64 (-.f64 2 (/.f64 alpha beta)) (/.f64 (-.f64 (-.f64 -2 alpha) alpha) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 2)))) (-.f64 (/.f64 (*.f64 (+.f64 alpha (+.f64 alpha 2)) (+.f64 alpha 2)) (*.f64 beta beta)) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(+.f64 1 (/.f64 beta (+.f64 2 beta)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2))))
(+.f64 1 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (/.f64 beta (+.f64 2 beta))))
(+.f64 1 (-.f64 (/.f64 beta (+.f64 2 beta)) (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2)))))
(+.f64 1 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3))) (*.f64 alpha alpha) (/.f64 beta (+.f64 2 beta)))))
(+.f64 1 (-.f64 (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 beta (pow.f64 (+.f64 2 beta) 3))) (*.f64 alpha alpha) (/.f64 beta (+.f64 2 beta))) (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))))
(+.f64 (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 beta (pow.f64 (+.f64 2 beta) 3))) (*.f64 alpha alpha) (/.f64 beta (+.f64 2 beta))) (-.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 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 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 1 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3))) (*.f64 alpha alpha) (/.f64 beta (+.f64 2 beta))))))
(+.f64 (-.f64 (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 beta (pow.f64 (+.f64 2 beta) 3))) (*.f64 alpha alpha) (/.f64 beta (+.f64 2 beta))) (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (fma.f64 (neg.f64 (pow.f64 alpha 3)) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))) 1))
(+.f64 (-.f64 1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (-.f64 (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 beta (pow.f64 (+.f64 2 beta) 3))) (*.f64 alpha alpha) (/.f64 beta (+.f64 2 beta))) (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))))
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (fma.f64 2 beta 2) alpha)
(-.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))) (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)))
(-.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 2 alpha))) (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))))
(-.f64 (fma.f64 2 (/.f64 beta alpha) (-.f64 (/.f64 2 alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)))) (/.f64 (+.f64 2 beta) (/.f64 (*.f64 alpha alpha) beta)))
(fma.f64 2 (/.f64 beta alpha) (-.f64 (-.f64 (/.f64 2 alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))) (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta)))))
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))
(+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (-.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 2 alpha))) (+.f64 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (neg.f64 (/.f64 beta (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2)))))))
(+.f64 (fma.f64 2 (/.f64 beta alpha) (-.f64 (/.f64 2 alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)))) (-.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (-.f64 (/.f64 (+.f64 2 beta) (/.f64 (*.f64 alpha alpha) beta)) (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)))))
(+.f64 (fma.f64 2 (/.f64 beta alpha) (-.f64 (/.f64 2 alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)))) (+.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3) (-.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))))))
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))))) (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))))
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4)) (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 2 alpha))))) (+.f64 (+.f64 (/.f64 beta (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 2 beta) 3))) (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta)))) (neg.f64 (/.f64 beta (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2))))))
(-.f64 (+.f64 (fma.f64 2 (/.f64 beta alpha) (-.f64 (/.f64 2 alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)))) (-.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4)))) (+.f64 (-.f64 (/.f64 (+.f64 2 beta) (/.f64 (*.f64 alpha alpha) beta)) (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2))) (*.f64 (/.f64 beta (pow.f64 alpha 4)) (pow.f64 (+.f64 2 beta) 3))))
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1
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(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) -1)
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(fma.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) -1)
(fma.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))) -1)
(+.f64 -1 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))))
(+.f64 -1 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))))
(fma.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) -1)
(fma.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (/.f64 1 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) -1)
(+.f64 -1 (/.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))))
(+.f64 -1 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 beta (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha 2) beta)) 2)) (/.f64 beta (cbrt.f64 (+.f64 (+.f64 alpha 2) beta))) (/.f64 (neg.f64 alpha) (+.f64 (+.f64 alpha 2) beta)))
(-.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (/.f64 beta (cbrt.f64 (+.f64 alpha (+.f64 2 beta))))) (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))
(-.f64 (/.f64 (/.f64 beta (cbrt.f64 (+.f64 (+.f64 alpha 2) beta))) (pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha 2) beta)) 2)) (/.f64 alpha (+.f64 (+.f64 alpha 2) beta)))
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 beta (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 (+.f64 alpha 2) beta))) (/.f64 beta (sqrt.f64 (+.f64 (+.f64 alpha 2) beta))) (/.f64 (neg.f64 alpha) (+.f64 (+.f64 alpha 2) beta)))
(-.f64 (*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 beta (sqrt.f64 (+.f64 alpha (+.f64 2 beta))))) (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))
(-.f64 (/.f64 (/.f64 beta (sqrt.f64 (+.f64 (+.f64 alpha 2) beta))) (sqrt.f64 (+.f64 (+.f64 alpha 2) beta))) (/.f64 alpha (+.f64 (+.f64 alpha 2) beta)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (cbrt.f64 beta) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha 2) beta)) 2)) (/.f64 (cbrt.f64 beta) (cbrt.f64 (+.f64 (+.f64 alpha 2) beta))) (/.f64 (neg.f64 alpha) (+.f64 (+.f64 alpha 2) beta)))
(-.f64 (/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (cbrt.f64 beta)) (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))
(-.f64 (pow.f64 (/.f64 (cbrt.f64 beta) (cbrt.f64 (+.f64 (+.f64 alpha 2) beta))) 3) (/.f64 alpha (+.f64 (+.f64 alpha 2) beta)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 (+.f64 alpha 2) beta))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 (+.f64 alpha 2) beta))) (/.f64 (neg.f64 alpha) (+.f64 (+.f64 alpha 2) beta)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 (neg.f64 alpha) (+.f64 alpha (+.f64 2 beta))))
(fma.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(fma.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha 2) beta)) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 (+.f64 alpha 2) beta))) (/.f64 (neg.f64 alpha) (+.f64 (+.f64 alpha 2) beta)))
(-.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (sqrt.f64 beta)) (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))
(fma.f64 (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 (+.f64 alpha 2) beta))) (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 (+.f64 alpha 2) beta))) (/.f64 (neg.f64 alpha) (+.f64 (+.f64 alpha 2) beta)))
(-.f64 (*.f64 (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 alpha (+.f64 2 beta))))) (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))
(-.f64 (*.f64 (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 (+.f64 alpha 2) beta))) (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 (+.f64 alpha 2) beta)))) (/.f64 alpha (+.f64 (+.f64 alpha 2) beta)))
(fma.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (-.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4) (*.f64 (+.f64 beta alpha) 2)) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 alpha beta) 3) 8)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 4 (*.f64 2 (+.f64 alpha beta)))) (/.f64 (neg.f64 alpha) (+.f64 (+.f64 alpha 2) beta)))
(fma.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 alpha beta) 3) 8)) (+.f64 (+.f64 4 (pow.f64 (+.f64 alpha beta) 2)) (*.f64 -2 (+.f64 alpha beta))) (/.f64 (neg.f64 alpha) (+.f64 alpha (+.f64 2 beta))))
(fma.f64 (+.f64 4 (-.f64 (pow.f64 (+.f64 alpha beta) 2) (*.f64 2 (+.f64 alpha beta)))) (/.f64 beta (+.f64 (pow.f64 (+.f64 alpha beta) 3) 8)) (/.f64 (neg.f64 alpha) (+.f64 (+.f64 alpha 2) beta)))
(fma.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2)) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (+.f64 beta (+.f64 alpha -2)) (/.f64 (neg.f64 alpha) (+.f64 (+.f64 alpha 2) beta)))
(-.f64 (*.f64 (+.f64 alpha (+.f64 -2 beta)) (/.f64 beta (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4))) (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))
(-.f64 (/.f64 (*.f64 beta (+.f64 alpha (+.f64 -2 beta))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (/.f64 alpha (+.f64 (+.f64 alpha 2) beta)))

eval272.0ms (3.3%)

Compiler

Compiled 11693 to 7965 computations (31.9% saved)

prune86.0ms (1.1%)

Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New37911390
Fresh000
Picked011
Done000
Total37912391
Accurracy
99.9%
Counts
391 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
28.6%
(/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) 2)
26.6%
(/.f64 (fma.f64 2 (/.f64 beta alpha) (-.f64 (-.f64 (/.f64 2 alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))) (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))))) 2)
29.6%
(/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2)
75.0%
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
52.1%
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
26.9%
(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3) (+.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)))) 2)
74.0%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
72.8%
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
26.9%
(/.f64 (+.f64 (-.f64 2 (/.f64 alpha beta)) (-.f64 (/.f64 (*.f64 (+.f64 alpha (+.f64 alpha 2)) (+.f64 alpha 2)) (*.f64 beta beta)) (+.f64 (/.f64 alpha beta) (/.f64 2 beta)))) 2)
74.0%
(/.f64 (+.f64 (log.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 1) 2)
3.7%
(/.f64 (+.f64 -1 1) 2)
34.6%
(/.f64 2 2)
28.6%
(/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) 2)
26.6%
(/.f64 (fma.f64 2 (/.f64 beta alpha) (-.f64 (-.f64 (/.f64 2 alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))) (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))))) 2)
29.6%
(/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2)
75.0%
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
52.1%
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
26.9%
(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3) (+.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)))) 2)
74.0%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
72.8%
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
26.9%
(/.f64 (+.f64 (-.f64 2 (/.f64 alpha beta)) (-.f64 (/.f64 (*.f64 (+.f64 alpha (+.f64 alpha 2)) (+.f64 alpha 2)) (*.f64 beta beta)) (+.f64 (/.f64 alpha beta) (/.f64 2 beta)))) 2)
74.0%
(/.f64 (+.f64 (log.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 1) 2)
3.7%
(/.f64 (+.f64 -1 1) 2)
34.6%
(/.f64 2 2)
Compiler

Compiled 886 to 638 computations (28% saved)

localize270.0ms (3.3%)

Local Accuracy

Found 12 expressions with local accuracy:

NewAccuracyProgram
100.0%
(+.f64 beta (+.f64 2 beta))
100.0%
(/.f64 (+.f64 2 beta) alpha)
100.0%
(-.f64 (-.f64 -2 beta) beta)
94.3%
(fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha))
100.0%
(/.f64 (+.f64 beta (+.f64 2 beta)) alpha)
100.0%
(+.f64 beta (+.f64 2 beta))
100.0%
(/.f64 beta (+.f64 beta 2))
100.0%
(+.f64 (/.f64 beta (+.f64 beta 2)) 1)
100.0%
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))
100.0%
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
100.0%
(/.f64 beta (+.f64 beta (+.f64 alpha 2)))
74.1%
(-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)
Compiler

Compiled 213 to 136 computations (36.2% saved)

series18.0ms (0.2%)

Counts
12 → 228
Calls

57 calls:

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

rewrite108.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
652×add-sqr-sqrt
638×pow1
638×*-un-lft-identity
608×add-exp-log
608×add-cbrt-cube
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025272
1629254
Stop Event
node limit
Counts
12 → 325
Calls
Call 1
Inputs
(-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)
(/.f64 beta (+.f64 beta (+.f64 alpha 2)))
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))
(+.f64 (/.f64 beta (+.f64 beta 2)) 1)
(/.f64 beta (+.f64 beta 2))
(+.f64 beta (+.f64 2 beta))
(/.f64 (+.f64 beta (+.f64 2 beta)) alpha)
(fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha))
(-.f64 (-.f64 -2 beta) beta)
(/.f64 (+.f64 2 beta) alpha)
(+.f64 beta (+.f64 2 beta))
Outputs
(+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)
(*.f64 1 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)) 2) (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)) (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)))
(/.f64 (-.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3) 1) (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) (+.f64 1 (*.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))))
(/.f64 (-.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) 1) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3) 1)) (neg.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) (+.f64 1 (*.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) 1)) (neg.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3) -1) (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (*.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1))))
(pow.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)) 2)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1) 3))
(expm1.f64 (log.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (log.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)))
(fma.f64 alpha (/.f64 1 (+.f64 beta (+.f64 alpha 2))) -1)
(fma.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) -1)
(fma.f64 (sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) -1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) 1)
(*.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(*.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (+.f64 beta (+.f64 alpha 2))))
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(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta 2))) (/.f64 beta (sqrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (+.f64 beta 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (cbrt.f64 (/.f64 beta (+.f64 beta 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 beta 2))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 beta 2)))
(*.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 beta 2))))
(pow.f64 (/.f64 beta (+.f64 beta 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 3)
(pow.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 2)
(pow.f64 (/.f64 (+.f64 beta 2) beta) -1)
(sqrt.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2))
(log.f64 (exp.f64 (/.f64 beta (+.f64 beta 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 beta (+.f64 beta 2)))))
(cbrt.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3))
(expm1.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))))
(exp.f64 (log.f64 (/.f64 beta (+.f64 beta 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 beta (+.f64 beta 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 beta (+.f64 beta 2))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 beta (+.f64 beta 2)))) 1)
(-.f64 (/.f64 (*.f64 beta beta) (-.f64 beta (+.f64 beta 2))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 beta (+.f64 beta 2))))
(*.f64 1 (+.f64 beta (+.f64 beta 2)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta 2))) 2) (cbrt.f64 (+.f64 beta (+.f64 beta 2))))
(*.f64 (sqrt.f64 (+.f64 beta (+.f64 beta 2))) (sqrt.f64 (+.f64 beta (+.f64 beta 2))))
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)) (fma.f64 beta beta (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2)))))
(/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2)) (-.f64 beta (+.f64 beta 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (neg.f64 (fma.f64 beta beta (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))))))
(/.f64 (neg.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2))) (neg.f64 (-.f64 beta (+.f64 beta 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 beta 3)) (+.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 beta 2) beta))))
(pow.f64 (+.f64 beta (+.f64 beta 2)) 1)
(pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta 2))) 3)
(pow.f64 (pow.f64 (+.f64 beta (+.f64 beta 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 beta (+.f64 beta 2))) 2)
(sqrt.f64 (pow.f64 (+.f64 beta (+.f64 beta 2)) 2))
(log.f64 (exp.f64 (+.f64 beta (+.f64 beta 2))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 beta (+.f64 beta 2)))))
(cbrt.f64 (pow.f64 (+.f64 beta (+.f64 beta 2)) 3))
(expm1.f64 (log1p.f64 (+.f64 beta (+.f64 beta 2))))
(exp.f64 (log.f64 (+.f64 beta (+.f64 beta 2))))
(exp.f64 (*.f64 (log.f64 (+.f64 beta (+.f64 beta 2))) 1))
(log1p.f64 (expm1.f64 (+.f64 beta (+.f64 beta 2))))
(fma.f64 1 beta (+.f64 beta 2))
(fma.f64 1 (+.f64 beta 2) beta)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (cbrt.f64 (+.f64 beta 2)) beta)
(fma.f64 (pow.f64 (cbrt.f64 beta) 2) (cbrt.f64 beta) (+.f64 beta 2))
(fma.f64 (sqrt.f64 (+.f64 beta 2)) (sqrt.f64 (+.f64 beta 2)) beta)
(fma.f64 (sqrt.f64 beta) (sqrt.f64 beta) (+.f64 beta 2))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha))) 1)
(*.f64 1 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha))
(*.f64 (+.f64 beta (+.f64 beta 2)) (/.f64 1 alpha))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha)) 2) (cbrt.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha)) (sqrt.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (+.f64 beta (+.f64 beta 2)) (cbrt.f64 alpha)))
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 beta (+.f64 beta 2)) (sqrt.f64 alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta 2))) 2) 1) (/.f64 (cbrt.f64 (+.f64 beta (+.f64 beta 2))) alpha))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta 2))) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta 2))) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (+.f64 beta (+.f64 beta 2))) (sqrt.f64 alpha)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta (+.f64 beta 2))) 1) (/.f64 (sqrt.f64 (+.f64 beta (+.f64 beta 2))) alpha))
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta (+.f64 beta 2))) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (+.f64 beta (+.f64 beta 2))) (cbrt.f64 alpha)))
(pow.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha)) 2)
(pow.f64 (/.f64 alpha (+.f64 beta (+.f64 beta 2))) -1)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 beta (+.f64 beta 2)) 3) (pow.f64 alpha 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha)))
(exp.f64 (log.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha)) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha)))
(+.f64 (*.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha) (/.f64 (+.f64 beta 2) alpha)) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha) (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha)))) 1)
(*.f64 1 (fma.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha) (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha) (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha))) 2) (cbrt.f64 (fma.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha) (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha))))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha) (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha))) (sqrt.f64 (fma.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha) (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha) (/.f64 (+.f64 beta 2) alpha)) 3) (pow.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha) 3)) (+.f64 (*.f64 (*.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha) (/.f64 (+.f64 beta 2) alpha)) (*.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha) (/.f64 (+.f64 beta 2) alpha))) (-.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha) 2) (*.f64 (*.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha) (/.f64 (+.f64 beta 2) alpha)) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha)))))
(pow.f64 (fma.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha) (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha)) 1)
(pow.f64 (cbrt.f64 (fma.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha) (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha))) 3)
(pow.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha) (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha) (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha) (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha)) 2))
(log.f64 (exp.f64 (fma.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha) (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha) (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha)))))
(cbrt.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha) (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha) (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha))))
(exp.f64 (log.f64 (fma.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha) (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha) (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha) (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha))))
(+.f64 (-.f64 -2 beta) (neg.f64 beta))
(+.f64 (-.f64 -2 (+.f64 beta beta)) (fma.f64 (neg.f64 (sqrt.f64 beta)) (sqrt.f64 beta) beta))
(+.f64 (fma.f64 1 (-.f64 -2 beta) (neg.f64 (*.f64 beta 1))) (fma.f64 (neg.f64 beta) 1 (*.f64 beta 1)))
(+.f64 (fma.f64 1 (-.f64 -2 beta) (neg.f64 (*.f64 (cbrt.f64 beta) (pow.f64 (cbrt.f64 beta) 2)))) (fma.f64 (neg.f64 (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2) (*.f64 (cbrt.f64 beta) (pow.f64 (cbrt.f64 beta) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) (cbrt.f64 (-.f64 -2 beta)) (neg.f64 (*.f64 beta 1))) (fma.f64 (neg.f64 beta) 1 (*.f64 beta 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) (cbrt.f64 (-.f64 -2 beta)) (neg.f64 (*.f64 (cbrt.f64 beta) (pow.f64 (cbrt.f64 beta) 2)))) (fma.f64 (neg.f64 (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2) (*.f64 (cbrt.f64 beta) (pow.f64 (cbrt.f64 beta) 2))))
(+.f64 (fma.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 (-.f64 -2 beta)) (neg.f64 (*.f64 beta 1))) (fma.f64 (neg.f64 beta) 1 (*.f64 beta 1)))
(+.f64 (fma.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 (-.f64 -2 beta)) (neg.f64 (*.f64 (cbrt.f64 beta) (pow.f64 (cbrt.f64 beta) 2)))) (fma.f64 (neg.f64 (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2) (*.f64 (cbrt.f64 beta) (pow.f64 (cbrt.f64 beta) 2))))
(*.f64 1 (-.f64 -2 (+.f64 beta beta)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 -2 (+.f64 beta beta))) 2) (cbrt.f64 (-.f64 -2 (+.f64 beta beta))))
(*.f64 (sqrt.f64 (-.f64 -2 (+.f64 beta beta))) (sqrt.f64 (-.f64 -2 (+.f64 beta beta))))
(/.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3)) (+.f64 (pow.f64 (-.f64 -2 beta) 2) (fma.f64 beta beta (*.f64 (-.f64 -2 beta) beta))))
(/.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta beta)) (+.f64 (-.f64 -2 beta) beta))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3))) (neg.f64 (+.f64 (pow.f64 (-.f64 -2 beta) 2) (fma.f64 beta beta (*.f64 (-.f64 -2 beta) beta)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta beta))) (neg.f64 (+.f64 (-.f64 -2 beta) beta)))
(/.f64 (+.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 (neg.f64 beta) 3)) (+.f64 (pow.f64 (-.f64 -2 beta) 2) (-.f64 (*.f64 (neg.f64 beta) (neg.f64 beta)) (*.f64 (-.f64 -2 beta) (neg.f64 beta)))))
(pow.f64 (-.f64 -2 (+.f64 beta beta)) 1)
(pow.f64 (cbrt.f64 (-.f64 -2 (+.f64 beta beta))) 3)
(pow.f64 (pow.f64 (-.f64 -2 (+.f64 beta beta)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 -2 (+.f64 beta beta))) 2)
(sqrt.f64 (pow.f64 (-.f64 -2 (+.f64 beta beta)) 2))
(log.f64 (exp.f64 (-.f64 -2 (+.f64 beta beta))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 -2 (+.f64 beta beta)))))
(cbrt.f64 (pow.f64 (-.f64 -2 (+.f64 beta beta)) 3))
(expm1.f64 (log1p.f64 (-.f64 -2 (+.f64 beta beta))))
(exp.f64 (log.f64 (-.f64 -2 (+.f64 beta beta))))
(exp.f64 (*.f64 (log.f64 (-.f64 -2 (+.f64 beta beta))) 1))
(log1p.f64 (expm1.f64 (-.f64 -2 (+.f64 beta beta))))
(fma.f64 1 (-.f64 -2 beta) (neg.f64 beta))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) (cbrt.f64 (-.f64 -2 beta)) (neg.f64 beta))
(fma.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 (-.f64 -2 beta)) (neg.f64 beta))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 beta 2) alpha))) 1)
(*.f64 1 (/.f64 (+.f64 beta 2) alpha))
(*.f64 (+.f64 beta 2) (/.f64 1 alpha))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) 2) (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 beta 2) alpha)) (sqrt.f64 (/.f64 (+.f64 beta 2) alpha)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (+.f64 beta 2) (cbrt.f64 alpha)))
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 beta 2) (sqrt.f64 alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) 1) (/.f64 (cbrt.f64 (+.f64 beta 2)) alpha))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (+.f64 beta 2)) (sqrt.f64 alpha)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta 2)) 1) (/.f64 (sqrt.f64 (+.f64 beta 2)) alpha))
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta 2)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (+.f64 beta 2)) (cbrt.f64 alpha)))
(pow.f64 (/.f64 (+.f64 beta 2) alpha) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 beta 2) alpha)) 2)
(pow.f64 (/.f64 alpha (+.f64 beta 2)) -1)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 beta 2) alpha)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 beta 2) alpha))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 beta 2) alpha)))
(exp.f64 (log.f64 (/.f64 (+.f64 beta 2) alpha)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 beta 2) alpha)) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 beta 2) alpha)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 beta (+.f64 beta 2)))) 1)
(-.f64 (/.f64 (*.f64 beta beta) (-.f64 beta (+.f64 beta 2))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 beta (+.f64 beta 2))))
(*.f64 1 (+.f64 beta (+.f64 beta 2)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta 2))) 2) (cbrt.f64 (+.f64 beta (+.f64 beta 2))))
(*.f64 (sqrt.f64 (+.f64 beta (+.f64 beta 2))) (sqrt.f64 (+.f64 beta (+.f64 beta 2))))
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)) (fma.f64 beta beta (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2)))))
(/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2)) (-.f64 beta (+.f64 beta 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (neg.f64 (fma.f64 beta beta (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))))))
(/.f64 (neg.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2))) (neg.f64 (-.f64 beta (+.f64 beta 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 beta 3)) (+.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 beta 2) beta))))
(pow.f64 (+.f64 beta (+.f64 beta 2)) 1)
(pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta 2))) 3)
(pow.f64 (pow.f64 (+.f64 beta (+.f64 beta 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 beta (+.f64 beta 2))) 2)
(sqrt.f64 (pow.f64 (+.f64 beta (+.f64 beta 2)) 2))
(log.f64 (exp.f64 (+.f64 beta (+.f64 beta 2))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 beta (+.f64 beta 2)))))
(cbrt.f64 (pow.f64 (+.f64 beta (+.f64 beta 2)) 3))
(expm1.f64 (log1p.f64 (+.f64 beta (+.f64 beta 2))))
(exp.f64 (log.f64 (+.f64 beta (+.f64 beta 2))))
(exp.f64 (*.f64 (log.f64 (+.f64 beta (+.f64 beta 2))) 1))
(log1p.f64 (expm1.f64 (+.f64 beta (+.f64 beta 2))))
(fma.f64 1 beta (+.f64 beta 2))
(fma.f64 1 (+.f64 beta 2) beta)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (cbrt.f64 (+.f64 beta 2)) beta)
(fma.f64 (pow.f64 (cbrt.f64 beta) 2) (cbrt.f64 beta) (+.f64 beta 2))
(fma.f64 (sqrt.f64 (+.f64 beta 2)) (sqrt.f64 (+.f64 beta 2)) beta)
(fma.f64 (sqrt.f64 beta) (sqrt.f64 beta) (+.f64 beta 2))

simplify232.0ms (2.8%)

Algorithm
egg-herbie
Rules
1356×fma-def
552×times-frac
550×distribute-rgt-in
548×associate-+l+
546×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
098221225
1277618641
Stop Event
node limit
Counts
553 → 681
Calls
Call 1
Inputs
-1
(-.f64 (/.f64 alpha (+.f64 beta 2)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 alpha (+.f64 beta 2))) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) 1)
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))))
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))))
(-.f64 (/.f64 alpha (+.f64 2 alpha)) 1)
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2)))) 1)
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2))))) 1)
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 3) alpha) (pow.f64 (+.f64 2 alpha) 4))) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2)))))) 1)
-1
(-.f64 (/.f64 alpha beta) 1)
(-.f64 (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) 1)
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))) 1)
-1
(-.f64 (/.f64 alpha beta) 1)
(-.f64 (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) 1)
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))) 1)
(/.f64 beta (+.f64 2 alpha))
(+.f64 (/.f64 beta (+.f64 2 alpha)) (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))))
(+.f64 (/.f64 beta (+.f64 2 alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 4) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 (/.f64 beta (+.f64 2 alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (/.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 beta 2))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (+.f64 beta 2)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (+.f64 beta 2))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 beta 2) 3)) (+.f64 (/.f64 beta (+.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 4))))))
(/.f64 beta alpha)
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 beta alpha))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))
(/.f64 beta alpha)
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 beta alpha))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))
(/.f64 alpha (+.f64 beta 2))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 alpha (+.f64 beta 2)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 alpha (+.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))))
1
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1)
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))))
1
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1)
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))))
(/.f64 alpha (+.f64 2 alpha))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2))))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2)))))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 3) alpha) (pow.f64 (+.f64 2 alpha) 4))) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2))))))
(/.f64 alpha beta)
(+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))))
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 3) alpha) (pow.f64 beta 4))) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))))
(/.f64 alpha beta)
(+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))))
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 3) alpha) (pow.f64 beta 4))) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))))
(-.f64 1 (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) 1) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (*.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 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (+.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 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))))) (/.f64 alpha (+.f64 2 alpha)))
2
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)))))) (+.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 -1 (/.f64 (-.f64 (+.f64 2 alpha) (*.f64 -1 alpha)) beta)) 2)
(+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 2 alpha) (*.f64 -1 alpha)) beta)) (+.f64 2 (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 2 alpha) (*.f64 -1 alpha)) beta)) (+.f64 2 (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 beta 3))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2)))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2))))))
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(-.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))) (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)))
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))))) (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 4) (*.f64 beta (pow.f64 (+.f64 beta 2) 3))) (pow.f64 alpha 4))) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))))
1
(+.f64 1 (*.f64 1/2 beta))
(+.f64 1 (+.f64 (*.f64 1/2 beta) (*.f64 -1/4 (pow.f64 beta 2))))
(+.f64 1 (+.f64 (*.f64 1/2 beta) (+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/8 (pow.f64 beta 3)))))
2
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta))))
2
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta))))
(*.f64 1/2 beta)
(+.f64 (*.f64 1/2 beta) (*.f64 -1/4 (pow.f64 beta 2)))
(+.f64 (*.f64 1/2 beta) (+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/8 (pow.f64 beta 3))))
(+.f64 (*.f64 -1/16 (pow.f64 beta 4)) (+.f64 (*.f64 1/2 beta) (+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/8 (pow.f64 beta 3)))))
1
(-.f64 1 (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta))))
1
(-.f64 1 (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta))))
2
(+.f64 2 (*.f64 2 beta))
(+.f64 2 (*.f64 2 beta))
(+.f64 2 (*.f64 2 beta))
(*.f64 2 beta)
(+.f64 2 (*.f64 2 beta))
(+.f64 2 (*.f64 2 beta))
(+.f64 2 (*.f64 2 beta))
(*.f64 2 beta)
(+.f64 2 (*.f64 2 beta))
(+.f64 2 (*.f64 2 beta))
(+.f64 2 (*.f64 2 beta))
(/.f64 2 alpha)
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 beta alpha))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 beta alpha))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2)))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
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2
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(log.f64 (exp.f64 (fma.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha) (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha) (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha)))))
(cbrt.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha) (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha) (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha))))
(exp.f64 (log.f64 (fma.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha) (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha) (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha) (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha))))
(+.f64 (-.f64 -2 beta) (neg.f64 beta))
(+.f64 (-.f64 -2 (+.f64 beta beta)) (fma.f64 (neg.f64 (sqrt.f64 beta)) (sqrt.f64 beta) beta))
(+.f64 (fma.f64 1 (-.f64 -2 beta) (neg.f64 (*.f64 beta 1))) (fma.f64 (neg.f64 beta) 1 (*.f64 beta 1)))
(+.f64 (fma.f64 1 (-.f64 -2 beta) (neg.f64 (*.f64 (cbrt.f64 beta) (pow.f64 (cbrt.f64 beta) 2)))) (fma.f64 (neg.f64 (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2) (*.f64 (cbrt.f64 beta) (pow.f64 (cbrt.f64 beta) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) (cbrt.f64 (-.f64 -2 beta)) (neg.f64 (*.f64 beta 1))) (fma.f64 (neg.f64 beta) 1 (*.f64 beta 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) (cbrt.f64 (-.f64 -2 beta)) (neg.f64 (*.f64 (cbrt.f64 beta) (pow.f64 (cbrt.f64 beta) 2)))) (fma.f64 (neg.f64 (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2) (*.f64 (cbrt.f64 beta) (pow.f64 (cbrt.f64 beta) 2))))
(+.f64 (fma.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 (-.f64 -2 beta)) (neg.f64 (*.f64 beta 1))) (fma.f64 (neg.f64 beta) 1 (*.f64 beta 1)))
(+.f64 (fma.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 (-.f64 -2 beta)) (neg.f64 (*.f64 (cbrt.f64 beta) (pow.f64 (cbrt.f64 beta) 2)))) (fma.f64 (neg.f64 (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2) (*.f64 (cbrt.f64 beta) (pow.f64 (cbrt.f64 beta) 2))))
(*.f64 1 (-.f64 -2 (+.f64 beta beta)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 -2 (+.f64 beta beta))) 2) (cbrt.f64 (-.f64 -2 (+.f64 beta beta))))
(*.f64 (sqrt.f64 (-.f64 -2 (+.f64 beta beta))) (sqrt.f64 (-.f64 -2 (+.f64 beta beta))))
(/.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3)) (+.f64 (pow.f64 (-.f64 -2 beta) 2) (fma.f64 beta beta (*.f64 (-.f64 -2 beta) beta))))
(/.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta beta)) (+.f64 (-.f64 -2 beta) beta))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3))) (neg.f64 (+.f64 (pow.f64 (-.f64 -2 beta) 2) (fma.f64 beta beta (*.f64 (-.f64 -2 beta) beta)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta beta))) (neg.f64 (+.f64 (-.f64 -2 beta) beta)))
(/.f64 (+.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 (neg.f64 beta) 3)) (+.f64 (pow.f64 (-.f64 -2 beta) 2) (-.f64 (*.f64 (neg.f64 beta) (neg.f64 beta)) (*.f64 (-.f64 -2 beta) (neg.f64 beta)))))
(pow.f64 (-.f64 -2 (+.f64 beta beta)) 1)
(pow.f64 (cbrt.f64 (-.f64 -2 (+.f64 beta beta))) 3)
(pow.f64 (pow.f64 (-.f64 -2 (+.f64 beta beta)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 -2 (+.f64 beta beta))) 2)
(sqrt.f64 (pow.f64 (-.f64 -2 (+.f64 beta beta)) 2))
(log.f64 (exp.f64 (-.f64 -2 (+.f64 beta beta))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 -2 (+.f64 beta beta)))))
(cbrt.f64 (pow.f64 (-.f64 -2 (+.f64 beta beta)) 3))
(expm1.f64 (log1p.f64 (-.f64 -2 (+.f64 beta beta))))
(exp.f64 (log.f64 (-.f64 -2 (+.f64 beta beta))))
(exp.f64 (*.f64 (log.f64 (-.f64 -2 (+.f64 beta beta))) 1))
(log1p.f64 (expm1.f64 (-.f64 -2 (+.f64 beta beta))))
(fma.f64 1 (-.f64 -2 beta) (neg.f64 beta))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) (cbrt.f64 (-.f64 -2 beta)) (neg.f64 beta))
(fma.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 (-.f64 -2 beta)) (neg.f64 beta))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 beta 2) alpha))) 1)
(*.f64 1 (/.f64 (+.f64 beta 2) alpha))
(*.f64 (+.f64 beta 2) (/.f64 1 alpha))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) 2) (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 beta 2) alpha)) (sqrt.f64 (/.f64 (+.f64 beta 2) alpha)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (+.f64 beta 2) (cbrt.f64 alpha)))
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 beta 2) (sqrt.f64 alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) 1) (/.f64 (cbrt.f64 (+.f64 beta 2)) alpha))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (+.f64 beta 2)) (sqrt.f64 alpha)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta 2)) 1) (/.f64 (sqrt.f64 (+.f64 beta 2)) alpha))
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta 2)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (+.f64 beta 2)) (cbrt.f64 alpha)))
(pow.f64 (/.f64 (+.f64 beta 2) alpha) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 beta 2) alpha)) 2)
(pow.f64 (/.f64 alpha (+.f64 beta 2)) -1)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 beta 2) alpha)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 beta 2) alpha))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 beta 2) alpha)))
(exp.f64 (log.f64 (/.f64 (+.f64 beta 2) alpha)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 beta 2) alpha)) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 beta 2) alpha)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 beta (+.f64 beta 2)))) 1)
(-.f64 (/.f64 (*.f64 beta beta) (-.f64 beta (+.f64 beta 2))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 beta (+.f64 beta 2))))
(*.f64 1 (+.f64 beta (+.f64 beta 2)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta 2))) 2) (cbrt.f64 (+.f64 beta (+.f64 beta 2))))
(*.f64 (sqrt.f64 (+.f64 beta (+.f64 beta 2))) (sqrt.f64 (+.f64 beta (+.f64 beta 2))))
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)) (fma.f64 beta beta (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2)))))
(/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2)) (-.f64 beta (+.f64 beta 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (neg.f64 (fma.f64 beta beta (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))))))
(/.f64 (neg.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2))) (neg.f64 (-.f64 beta (+.f64 beta 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 beta 3)) (+.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 beta 2) beta))))
(pow.f64 (+.f64 beta (+.f64 beta 2)) 1)
(pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta 2))) 3)
(pow.f64 (pow.f64 (+.f64 beta (+.f64 beta 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 beta (+.f64 beta 2))) 2)
(sqrt.f64 (pow.f64 (+.f64 beta (+.f64 beta 2)) 2))
(log.f64 (exp.f64 (+.f64 beta (+.f64 beta 2))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 beta (+.f64 beta 2)))))
(cbrt.f64 (pow.f64 (+.f64 beta (+.f64 beta 2)) 3))
(expm1.f64 (log1p.f64 (+.f64 beta (+.f64 beta 2))))
(exp.f64 (log.f64 (+.f64 beta (+.f64 beta 2))))
(exp.f64 (*.f64 (log.f64 (+.f64 beta (+.f64 beta 2))) 1))
(log1p.f64 (expm1.f64 (+.f64 beta (+.f64 beta 2))))
(fma.f64 1 beta (+.f64 beta 2))
(fma.f64 1 (+.f64 beta 2) beta)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (cbrt.f64 (+.f64 beta 2)) beta)
(fma.f64 (pow.f64 (cbrt.f64 beta) 2) (cbrt.f64 beta) (+.f64 beta 2))
(fma.f64 (sqrt.f64 (+.f64 beta 2)) (sqrt.f64 (+.f64 beta 2)) beta)
(fma.f64 (sqrt.f64 beta) (sqrt.f64 beta) (+.f64 beta 2))
Outputs
-1
(-.f64 (/.f64 alpha (+.f64 beta 2)) 1)
(+.f64 (/.f64 alpha (+.f64 beta 2)) -1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 alpha (+.f64 beta 2))) 1)
(+.f64 (fma.f64 -1 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (/.f64 alpha (+.f64 beta 2))) -1)
(+.f64 (-.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) -1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) 1)
(+.f64 (+.f64 (fma.f64 -1 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (/.f64 alpha (+.f64 beta 2))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) -1)
(+.f64 (-.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) -1))
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(neg.f64 (/.f64 (+.f64 beta 2) alpha))
(/.f64 (-.f64 -2 beta) alpha)
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))
(fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)))
(+.f64 (/.f64 (-.f64 -2 beta) alpha) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))) (neg.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)))
(+.f64 (/.f64 (-.f64 -2 beta) alpha) (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))) (+.f64 (neg.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)) (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))))
(+.f64 (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)) (+.f64 (/.f64 (-.f64 -2 beta) alpha) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)))
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(neg.f64 (/.f64 (+.f64 beta 2) alpha))
(/.f64 (-.f64 -2 beta) alpha)
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))
(fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)))
(+.f64 (/.f64 (-.f64 -2 beta) alpha) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))) (neg.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)))
(+.f64 (/.f64 (-.f64 -2 beta) alpha) (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))) (+.f64 (neg.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)) (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))))
(+.f64 (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)) (+.f64 (/.f64 (-.f64 -2 beta) alpha) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)))
(-.f64 (/.f64 alpha (+.f64 2 alpha)) 1)
(+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2)))) 1)
(+.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (neg.f64 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 alpha 2) 2)))) -1)
(+.f64 (-.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 beta (/.f64 (pow.f64 (+.f64 alpha 2) 2) alpha))) -1)
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2))))) 1)
(+.f64 (/.f64 alpha (+.f64 alpha 2)) (-.f64 (+.f64 (neg.f64 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (*.f64 alpha (*.f64 beta beta)) (pow.f64 (+.f64 alpha 2) 3))) 1))
(+.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 (-.f64 (/.f64 (*.f64 beta beta) (/.f64 (pow.f64 (+.f64 alpha 2) 3) alpha)) (/.f64 beta (/.f64 (pow.f64 (+.f64 alpha 2) 2) alpha))) -1))
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 3) alpha) (pow.f64 (+.f64 2 alpha) 4))) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2)))))) 1)
(+.f64 (/.f64 alpha (+.f64 alpha 2)) (-.f64 (+.f64 (/.f64 (*.f64 alpha (*.f64 beta beta)) (pow.f64 (+.f64 alpha 2) 3)) (*.f64 -1 (+.f64 (/.f64 (*.f64 alpha (pow.f64 beta 3)) (pow.f64 (+.f64 alpha 2) 4)) (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 alpha 2) 2))))) 1))
(+.f64 (-.f64 (-.f64 (/.f64 (*.f64 beta beta) (/.f64 (pow.f64 (+.f64 alpha 2) 3) alpha)) (/.f64 (pow.f64 beta 3) (/.f64 (pow.f64 (+.f64 alpha 2) 4) alpha))) (/.f64 beta (/.f64 (pow.f64 (+.f64 alpha 2) 2) alpha))) (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
-1
(-.f64 (/.f64 alpha beta) 1)
(+.f64 (/.f64 alpha beta) -1)
(-.f64 (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) 1)
(+.f64 (/.f64 alpha beta) (-.f64 (neg.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha))) 1))
(+.f64 (-.f64 (/.f64 alpha beta) (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta))) -1)
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))) 1)
(+.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) alpha)) (+.f64 (/.f64 alpha beta) (-.f64 (neg.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha))) 1)))
(+.f64 (-.f64 (/.f64 alpha beta) (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta))) (+.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) alpha)) -1))
-1
(-.f64 (/.f64 alpha beta) 1)
(+.f64 (/.f64 alpha beta) -1)
(-.f64 (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) 1)
(+.f64 (/.f64 alpha beta) (-.f64 (neg.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha))) 1))
(+.f64 (-.f64 (/.f64 alpha beta) (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta))) -1)
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))) 1)
(+.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) alpha)) (+.f64 (/.f64 alpha beta) (-.f64 (neg.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha))) 1)))
(+.f64 (-.f64 (/.f64 alpha beta) (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta))) (+.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) alpha)) -1))
(/.f64 beta (+.f64 2 alpha))
(/.f64 beta (+.f64 alpha 2))
(+.f64 (/.f64 beta (+.f64 2 alpha)) (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))))
(+.f64 (/.f64 beta (+.f64 alpha 2)) (neg.f64 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))))
(-.f64 (/.f64 beta (+.f64 alpha 2)) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))
(+.f64 (/.f64 beta (+.f64 2 alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3))))
(+.f64 (/.f64 beta (+.f64 alpha 2)) (fma.f64 -1 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))))
(+.f64 (/.f64 beta (+.f64 alpha 2)) (-.f64 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 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 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (+.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 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))))) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (fma.f64 (*.f64 beta beta) (-.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 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)))))) (/.f64 alpha (+.f64 alpha 2)))
(fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (-.f64 (+.f64 (fma.f64 (*.f64 beta beta) (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))) 1) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3))))) (/.f64 alpha (+.f64 alpha 2))))
2
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2)
(fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2)
(-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(-.f64 (+.f64 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2) (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha))) (neg.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))))
(+.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) (+.f64 (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)))))) (+.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 (+.f64 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2) (+.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)) (neg.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) alpha))))) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))))
(+.f64 (+.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) (-.f64 (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) alpha)))) (-.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))))
2
(+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 2 alpha) (*.f64 -1 alpha)) beta)) 2)
(fma.f64 -1 (/.f64 (+.f64 2 (-.f64 alpha (neg.f64 alpha))) beta) 2)
(-.f64 2 (/.f64 (+.f64 alpha (+.f64 alpha 2)) beta))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 2 alpha) (*.f64 -1 alpha)) beta)) (+.f64 2 (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 2 (-.f64 alpha (neg.f64 alpha))) beta) 2) (+.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))))
(+.f64 (-.f64 2 (/.f64 (+.f64 alpha (+.f64 alpha 2)) beta)) (+.f64 (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 2 alpha) (*.f64 -1 alpha)) beta)) (+.f64 2 (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 beta 3))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 2 (-.f64 alpha (neg.f64 alpha))) beta) 2) (+.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)) (fma.f64 -1 (/.f64 (fma.f64 (pow.f64 (+.f64 alpha 2) 2) alpha (pow.f64 (+.f64 alpha 2) 3)) (pow.f64 beta 3)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))))
(+.f64 (-.f64 2 (/.f64 (+.f64 alpha (+.f64 alpha 2)) beta)) (+.f64 (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta)) (-.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (/.f64 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha (+.f64 alpha 2))) (pow.f64 beta 3)))))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2))))
(+.f64 1 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (/.f64 beta (+.f64 beta 2))))
(+.f64 1 (-.f64 (/.f64 beta (+.f64 beta 2)) (*.f64 alpha (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2)))))
(+.f64 1 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (fma.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 beta 2) 3))) (*.f64 alpha alpha) (/.f64 beta (+.f64 beta 2)))))
(+.f64 (-.f64 1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))))) (fma.f64 (*.f64 alpha alpha) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (/.f64 beta (+.f64 beta 2))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2))))))
(fma.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))) (+.f64 1 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (fma.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 beta 2) 3))) (*.f64 alpha alpha) (/.f64 beta (+.f64 beta 2))))))
(+.f64 (fma.f64 (neg.f64 (pow.f64 alpha 3)) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))) 1) (-.f64 (fma.f64 (*.f64 alpha alpha) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (/.f64 beta (+.f64 beta 2))) (*.f64 alpha (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))))))
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 beta (+.f64 beta 2)) alpha)
(/.f64 (fma.f64 beta 2 2) alpha)
(-.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))) (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)))
(-.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 2 alpha))) (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 beta 2))))
(+.f64 (fma.f64 2 (/.f64 beta alpha) (-.f64 (/.f64 2 alpha) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2))) (/.f64 (*.f64 beta (-.f64 -2 beta)) (*.f64 alpha alpha)))
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))
(+.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3) (-.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 2 alpha))) (+.f64 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 beta 2))) (neg.f64 (/.f64 beta (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 2)))))))
(+.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3) (-.f64 (fma.f64 2 (/.f64 beta alpha) (-.f64 (/.f64 2 alpha) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2))) (-.f64 (*.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta alpha)) (*.f64 (/.f64 beta alpha) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)))))
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))))) (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))))
(+.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3) (-.f64 (fma.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 2 alpha)))) (+.f64 (/.f64 beta (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 beta 2))) (neg.f64 (/.f64 beta (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 2))))))))
(+.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3) (-.f64 (-.f64 (fma.f64 2 (/.f64 beta alpha) (-.f64 (/.f64 2 alpha) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2))) (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (/.f64 beta (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 3))) (-.f64 (*.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta alpha)) (*.f64 (/.f64 beta alpha) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2))))))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha))
(neg.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha))
(/.f64 (neg.f64 (fma.f64 beta -2 -2)) alpha)
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))))
(*.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (*.f64 alpha alpha))))
(-.f64 (/.f64 (fma.f64 beta -2 -2) (/.f64 (*.f64 alpha alpha) (+.f64 beta 2))) (/.f64 (fma.f64 beta -2 -2) alpha))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))
(+.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3) (fma.f64 -1 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha) (fma.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (*.f64 alpha alpha)) (/.f64 beta (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 2))))))
(+.f64 (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3) (/.f64 (fma.f64 beta -2 -2) alpha)) (-.f64 (*.f64 (/.f64 beta alpha) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)) (/.f64 (*.f64 (+.f64 beta 2) (fma.f64 beta 2 2)) (*.f64 alpha alpha))))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 4) (*.f64 beta (pow.f64 (+.f64 beta 2) 3))) (pow.f64 alpha 4))) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))))
(+.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3) (fma.f64 -1 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha) (fma.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (*.f64 alpha alpha)) (fma.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 4) (*.f64 beta (pow.f64 (+.f64 beta 2) 3))) (pow.f64 alpha 4)) (/.f64 beta (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 2)))))))
(+.f64 (-.f64 (/.f64 (fma.f64 beta -2 -2) (/.f64 (*.f64 alpha alpha) (+.f64 beta 2))) (/.f64 (fma.f64 beta -2 -2) alpha)) (+.f64 (-.f64 (*.f64 (/.f64 beta alpha) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)) (/.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) 3) (pow.f64 (+.f64 beta 2) 4)) (pow.f64 alpha 4))) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)))
1
(+.f64 1 (*.f64 1/2 beta))
(+.f64 1 (*.f64 beta 1/2))
(fma.f64 beta 1/2 1)
(+.f64 1 (+.f64 (*.f64 1/2 beta) (*.f64 -1/4 (pow.f64 beta 2))))
(+.f64 1 (fma.f64 1/2 beta (*.f64 (*.f64 beta beta) -1/4)))
(+.f64 (fma.f64 beta 1/2 1) (*.f64 (*.f64 beta beta) -1/4))
(+.f64 1 (+.f64 (*.f64 1/2 beta) (+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/8 (pow.f64 beta 3)))))
(+.f64 1 (fma.f64 1/2 beta (fma.f64 -1/4 (*.f64 beta beta) (*.f64 (pow.f64 beta 3) 1/8))))
(+.f64 (fma.f64 beta 1/2 1) (fma.f64 (*.f64 beta beta) -1/4 (*.f64 (pow.f64 beta 3) 1/8)))
2
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(-.f64 2 (/.f64 2 beta))
(+.f64 2 (/.f64 -2 beta))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 2 (/.f64 4 (*.f64 beta beta))) (/.f64 2 beta))
(+.f64 2 (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 -2 beta)))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta))))
(-.f64 (+.f64 2 (/.f64 4 (*.f64 beta beta))) (+.f64 (/.f64 2 beta) (/.f64 8 (pow.f64 beta 3))))
(+.f64 (-.f64 (+.f64 2 (/.f64 4 (*.f64 beta beta))) (/.f64 8 (pow.f64 beta 3))) (/.f64 -2 beta))
2
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(-.f64 2 (/.f64 2 beta))
(+.f64 2 (/.f64 -2 beta))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 2 (/.f64 4 (*.f64 beta beta))) (/.f64 2 beta))
(+.f64 2 (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 -2 beta)))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta))))
(-.f64 (+.f64 2 (/.f64 4 (*.f64 beta beta))) (+.f64 (/.f64 2 beta) (/.f64 8 (pow.f64 beta 3))))
(+.f64 (-.f64 (+.f64 2 (/.f64 4 (*.f64 beta beta))) (/.f64 8 (pow.f64 beta 3))) (/.f64 -2 beta))
(*.f64 1/2 beta)
(*.f64 beta 1/2)
(+.f64 (*.f64 1/2 beta) (*.f64 -1/4 (pow.f64 beta 2)))
(fma.f64 1/2 beta (*.f64 (*.f64 beta beta) -1/4))
(fma.f64 beta 1/2 (*.f64 (*.f64 beta beta) -1/4))
(+.f64 (*.f64 1/2 beta) (+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/8 (pow.f64 beta 3))))
(fma.f64 1/2 beta (fma.f64 -1/4 (*.f64 beta beta) (*.f64 (pow.f64 beta 3) 1/8)))
(fma.f64 beta 1/2 (fma.f64 (*.f64 beta beta) -1/4 (*.f64 (pow.f64 beta 3) 1/8)))
(+.f64 (*.f64 -1/16 (pow.f64 beta 4)) (+.f64 (*.f64 1/2 beta) (+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/8 (pow.f64 beta 3)))))
(fma.f64 -1/16 (pow.f64 beta 4) (fma.f64 1/2 beta (fma.f64 -1/4 (*.f64 beta beta) (*.f64 (pow.f64 beta 3) 1/8))))
(fma.f64 (pow.f64 beta 4) -1/16 (fma.f64 beta 1/2 (fma.f64 (*.f64 beta beta) -1/4 (*.f64 (pow.f64 beta 3) 1/8))))
1
(-.f64 1 (*.f64 2 (/.f64 1 beta)))
(-.f64 1 (/.f64 2 beta))
(+.f64 1 (/.f64 -2 beta))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta)))
(+.f64 1 (-.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 2 beta)))
(+.f64 1 (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 -2 beta)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta))))
(+.f64 1 (-.f64 (/.f64 4 (*.f64 beta beta)) (+.f64 (/.f64 2 beta) (/.f64 8 (pow.f64 beta 3)))))
(-.f64 (+.f64 1 (/.f64 4 (*.f64 beta beta))) (+.f64 (/.f64 2 beta) (/.f64 8 (pow.f64 beta 3))))
1
(-.f64 1 (*.f64 2 (/.f64 1 beta)))
(-.f64 1 (/.f64 2 beta))
(+.f64 1 (/.f64 -2 beta))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta)))
(+.f64 1 (-.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 2 beta)))
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(/.f64 (*.f64 -2 (fma.f64 beta -2 -2)) -2)
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3))) (neg.f64 (+.f64 (pow.f64 (-.f64 -2 beta) 2) (fma.f64 beta beta (*.f64 (-.f64 -2 beta) beta)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3))) (neg.f64 (+.f64 (pow.f64 (-.f64 -2 beta) 2) (fma.f64 beta beta (*.f64 beta (-.f64 -2 beta))))))
(*.f64 1 (/.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3)) (+.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta -2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta beta))) (neg.f64 (+.f64 (-.f64 -2 beta) beta)))
(neg.f64 (/.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta beta)) (neg.f64 (+.f64 beta (-.f64 -2 beta)))))
(neg.f64 (/.f64 (*.f64 -2 (fma.f64 beta -2 -2)) 2))
(/.f64 (+.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 (neg.f64 beta) 3)) (+.f64 (pow.f64 (-.f64 -2 beta) 2) (-.f64 (*.f64 (neg.f64 beta) (neg.f64 beta)) (*.f64 (-.f64 -2 beta) (neg.f64 beta)))))
(/.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3)) (+.f64 (pow.f64 (-.f64 -2 beta) 2) (fma.f64 beta beta (*.f64 beta (-.f64 -2 beta)))))
(/.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3)) (+.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta -2)))
(pow.f64 (-.f64 -2 (+.f64 beta beta)) 1)
(fma.f64 -2 beta -2)
(fma.f64 beta -2 -2)
(pow.f64 (cbrt.f64 (-.f64 -2 (+.f64 beta beta))) 3)
(fma.f64 -2 beta -2)
(fma.f64 beta -2 -2)
(pow.f64 (pow.f64 (-.f64 -2 (+.f64 beta beta)) 3) 1/3)
(fma.f64 -2 beta -2)
(fma.f64 beta -2 -2)
(pow.f64 (sqrt.f64 (-.f64 -2 (+.f64 beta beta))) 2)
(fma.f64 -2 beta -2)
(fma.f64 beta -2 -2)
(sqrt.f64 (pow.f64 (-.f64 -2 (+.f64 beta beta)) 2))
(fabs.f64 (fma.f64 beta -2 -2))
(log.f64 (exp.f64 (-.f64 -2 (+.f64 beta beta))))
(fma.f64 -2 beta -2)
(fma.f64 beta -2 -2)
(log.f64 (+.f64 1 (expm1.f64 (-.f64 -2 (+.f64 beta beta)))))
(fma.f64 -2 beta -2)
(fma.f64 beta -2 -2)
(cbrt.f64 (pow.f64 (-.f64 -2 (+.f64 beta beta)) 3))
(fma.f64 -2 beta -2)
(fma.f64 beta -2 -2)
(expm1.f64 (log1p.f64 (-.f64 -2 (+.f64 beta beta))))
(fma.f64 -2 beta -2)
(fma.f64 beta -2 -2)
(exp.f64 (log.f64 (-.f64 -2 (+.f64 beta beta))))
(fma.f64 -2 beta -2)
(fma.f64 beta -2 -2)
(exp.f64 (*.f64 (log.f64 (-.f64 -2 (+.f64 beta beta))) 1))
(fma.f64 -2 beta -2)
(fma.f64 beta -2 -2)
(log1p.f64 (expm1.f64 (-.f64 -2 (+.f64 beta beta))))
(fma.f64 -2 beta -2)
(fma.f64 beta -2 -2)
(fma.f64 1 (-.f64 -2 beta) (neg.f64 beta))
(fma.f64 -2 beta -2)
(fma.f64 beta -2 -2)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) (cbrt.f64 (-.f64 -2 beta)) (neg.f64 beta))
(fma.f64 -2 beta -2)
(fma.f64 beta -2 -2)
(fma.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 (-.f64 -2 beta)) (neg.f64 beta))
(fma.f64 -2 beta -2)
(fma.f64 beta -2 -2)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 beta 2) alpha))) 1)
(/.f64 (+.f64 beta 2) alpha)
(*.f64 1 (/.f64 (+.f64 beta 2) alpha))
(/.f64 (+.f64 beta 2) alpha)
(*.f64 (+.f64 beta 2) (/.f64 1 alpha))
(/.f64 (+.f64 beta 2) alpha)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) 2) (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)))
(/.f64 (+.f64 beta 2) alpha)
(*.f64 (sqrt.f64 (/.f64 (+.f64 beta 2) alpha)) (sqrt.f64 (/.f64 (+.f64 beta 2) alpha)))
(/.f64 (+.f64 beta 2) alpha)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (+.f64 beta 2) (cbrt.f64 alpha)))
(/.f64 (*.f64 1 (/.f64 (+.f64 beta 2) (cbrt.f64 alpha))) (pow.f64 (cbrt.f64 alpha) 2))
(/.f64 (/.f64 (+.f64 beta 2) (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2))
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 beta 2) (sqrt.f64 alpha)))
(/.f64 (/.f64 (+.f64 beta 2) (sqrt.f64 alpha)) (sqrt.f64 alpha))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) 1) (/.f64 (cbrt.f64 (+.f64 beta 2)) alpha))
(/.f64 (+.f64 beta 2) alpha)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (pow.f64 (cbrt.f64 alpha) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (+.f64 beta 2)) (sqrt.f64 alpha)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta 2)) 1) (/.f64 (sqrt.f64 (+.f64 beta 2)) alpha))
(/.f64 (+.f64 beta 2) alpha)
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta 2)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (+.f64 beta 2)) (cbrt.f64 alpha)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 beta 2)) (/.f64 (sqrt.f64 (+.f64 beta 2)) (cbrt.f64 alpha))) (pow.f64 (cbrt.f64 alpha) 2))
(pow.f64 (/.f64 (+.f64 beta 2) alpha) 1)
(/.f64 (+.f64 beta 2) alpha)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) 3)
(/.f64 (+.f64 beta 2) alpha)
(pow.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3) 1/3)
(/.f64 (+.f64 beta 2) alpha)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 beta 2) alpha)) 2)
(/.f64 (+.f64 beta 2) alpha)
(pow.f64 (/.f64 alpha (+.f64 beta 2)) -1)
(/.f64 1 (/.f64 alpha (+.f64 beta 2)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2))
(fabs.f64 (/.f64 (+.f64 beta 2) alpha))
(log.f64 (exp.f64 (/.f64 (+.f64 beta 2) alpha)))
(/.f64 (+.f64 beta 2) alpha)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 beta 2) alpha))))
(/.f64 (+.f64 beta 2) alpha)
(cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3))
(/.f64 (+.f64 beta 2) alpha)
(cbrt.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))
(/.f64 (+.f64 beta 2) alpha)
(expm1.f64 (log1p.f64 (/.f64 (+.f64 beta 2) alpha)))
(/.f64 (+.f64 beta 2) alpha)
(exp.f64 (log.f64 (/.f64 (+.f64 beta 2) alpha)))
(/.f64 (+.f64 beta 2) alpha)
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 beta 2) alpha)) 1))
(/.f64 (+.f64 beta 2) alpha)
(log1p.f64 (expm1.f64 (/.f64 (+.f64 beta 2) alpha)))
(/.f64 (+.f64 beta 2) alpha)
(-.f64 (exp.f64 (log1p.f64 (+.f64 beta (+.f64 beta 2)))) 1)
(+.f64 beta (+.f64 beta 2))
(fma.f64 beta 2 2)
(-.f64 (/.f64 (*.f64 beta beta) (-.f64 beta (+.f64 beta 2))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 beta (+.f64 beta 2))))
(/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2)) (-.f64 beta (+.f64 beta 2)))
(/.f64 (*.f64 (fma.f64 beta 2 2) -2) -2)
(*.f64 1 (+.f64 beta (+.f64 beta 2)))
(+.f64 beta (+.f64 beta 2))
(fma.f64 beta 2 2)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta 2))) 2) (cbrt.f64 (+.f64 beta (+.f64 beta 2))))
(+.f64 beta (+.f64 beta 2))
(fma.f64 beta 2 2)
(*.f64 (sqrt.f64 (+.f64 beta (+.f64 beta 2))) (sqrt.f64 (+.f64 beta (+.f64 beta 2))))
(+.f64 beta (+.f64 beta 2))
(fma.f64 beta 2 2)
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)) (fma.f64 beta beta (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2)))))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 beta 3)) (fma.f64 beta beta (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2)))))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 beta 3)) (fma.f64 beta beta (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) beta))))
(/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2)) (-.f64 beta (+.f64 beta 2)))
(/.f64 (*.f64 (fma.f64 beta 2 2) -2) -2)
(/.f64 (neg.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (neg.f64 (fma.f64 beta beta (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 beta 3))) (neg.f64 (fma.f64 beta beta (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))))))
(*.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 beta 3)) (fma.f64 beta beta (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) beta)))))
(/.f64 (neg.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2))) (neg.f64 (-.f64 beta (+.f64 beta 2))))
(/.f64 (neg.f64 (*.f64 (fma.f64 beta 2 2) -2)) 2)
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 beta 3)) (+.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 beta 2) beta))))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 beta 3)) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (-.f64 beta (+.f64 beta 2)))))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 beta 3)) (fma.f64 beta -2 (pow.f64 (+.f64 beta 2) 2)))
(pow.f64 (+.f64 beta (+.f64 beta 2)) 1)
(+.f64 beta (+.f64 beta 2))
(fma.f64 beta 2 2)
(pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta 2))) 3)
(+.f64 beta (+.f64 beta 2))
(fma.f64 beta 2 2)
(pow.f64 (pow.f64 (+.f64 beta (+.f64 beta 2)) 3) 1/3)
(+.f64 beta (+.f64 beta 2))
(fma.f64 beta 2 2)
(pow.f64 (sqrt.f64 (+.f64 beta (+.f64 beta 2))) 2)
(+.f64 beta (+.f64 beta 2))
(fma.f64 beta 2 2)
(sqrt.f64 (pow.f64 (+.f64 beta (+.f64 beta 2)) 2))
(fabs.f64 (fma.f64 beta 2 2))
(log.f64 (exp.f64 (+.f64 beta (+.f64 beta 2))))
(+.f64 beta (+.f64 beta 2))
(fma.f64 beta 2 2)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 beta (+.f64 beta 2)))))
(+.f64 beta (+.f64 beta 2))
(fma.f64 beta 2 2)
(cbrt.f64 (pow.f64 (+.f64 beta (+.f64 beta 2)) 3))
(+.f64 beta (+.f64 beta 2))
(fma.f64 beta 2 2)
(expm1.f64 (log1p.f64 (+.f64 beta (+.f64 beta 2))))
(+.f64 beta (+.f64 beta 2))
(fma.f64 beta 2 2)
(exp.f64 (log.f64 (+.f64 beta (+.f64 beta 2))))
(+.f64 beta (+.f64 beta 2))
(fma.f64 beta 2 2)
(exp.f64 (*.f64 (log.f64 (+.f64 beta (+.f64 beta 2))) 1))
(+.f64 beta (+.f64 beta 2))
(fma.f64 beta 2 2)
(log1p.f64 (expm1.f64 (+.f64 beta (+.f64 beta 2))))
(+.f64 beta (+.f64 beta 2))
(fma.f64 beta 2 2)
(fma.f64 1 beta (+.f64 beta 2))
(+.f64 beta (+.f64 beta 2))
(fma.f64 beta 2 2)
(fma.f64 1 (+.f64 beta 2) beta)
(+.f64 beta (+.f64 beta 2))
(fma.f64 beta 2 2)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (cbrt.f64 (+.f64 beta 2)) beta)
(+.f64 beta (+.f64 beta 2))
(fma.f64 beta 2 2)
(fma.f64 (pow.f64 (cbrt.f64 beta) 2) (cbrt.f64 beta) (+.f64 beta 2))
(+.f64 beta (+.f64 beta 2))
(fma.f64 beta 2 2)
(fma.f64 (sqrt.f64 (+.f64 beta 2)) (sqrt.f64 (+.f64 beta 2)) beta)
(+.f64 beta (+.f64 beta 2))
(fma.f64 beta 2 2)
(fma.f64 (sqrt.f64 beta) (sqrt.f64 beta) (+.f64 beta 2))
(+.f64 beta (+.f64 beta 2))
(fma.f64 beta 2 2)

eval436.0ms (5.3%)

Compiler

Compiled 21176 to 14820 computations (30% saved)

prune192.0ms (2.3%)

Pruning

20 alts after pruning (15 fresh and 5 done)

PrunedKeptTotal
New74814762
Fresh516
Picked145
Done011
Total75420774
Accurracy
100.0%
Counts
774 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.0%
(/.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) 1))) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) 2)
29.6%
(/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2)
9.8%
(/.f64 (/.f64 (+.f64 beta beta) alpha) 2)
23.7%
(/.f64 (/.f64 2 alpha) 2)
75.0%
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
28.6%
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 (-.f64 -2 beta) alpha) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2))) 2)
29.0%
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 (-.f64 -2 beta) alpha) (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)))) 2)
72.8%
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) -1) 2)
22.6%
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
8.8%
(/.f64 (-.f64 (*.f64 -2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))) (*.f64 beta (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha)))) 2)
26.5%
(/.f64 (-.f64 2 (/.f64 (+.f64 alpha (+.f64 alpha 2)) beta)) 2)
26.9%
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
52.1%
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
74.0%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
72.8%
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
72.8%
(/.f64 (+.f64 (/.f64 1 (/.f64 (+.f64 beta 2) beta)) 1) 2)
48.6%
(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
29.6%
(/.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) 2)
29.6%
(/.f64 (*.f64 (+.f64 beta (+.f64 beta 2)) (/.f64 1 alpha)) 2)
34.6%
(/.f64 2 2)
75.0%
(/.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) 1))) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) 2)
29.6%
(/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2)
9.8%
(/.f64 (/.f64 (+.f64 beta beta) alpha) 2)
23.7%
(/.f64 (/.f64 2 alpha) 2)
75.0%
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
28.6%
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 (-.f64 -2 beta) alpha) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2))) 2)
29.0%
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 (-.f64 -2 beta) alpha) (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)))) 2)
72.8%
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) -1) 2)
22.6%
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
8.8%
(/.f64 (-.f64 (*.f64 -2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))) (*.f64 beta (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha)))) 2)
26.5%
(/.f64 (-.f64 2 (/.f64 (+.f64 alpha (+.f64 alpha 2)) beta)) 2)
26.9%
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
52.1%
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
74.0%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
72.8%
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
72.8%
(/.f64 (+.f64 (/.f64 1 (/.f64 (+.f64 beta 2) beta)) 1) 2)
48.6%
(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
29.6%
(/.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) 2)
29.6%
(/.f64 (*.f64 (+.f64 beta (+.f64 beta 2)) (/.f64 1 alpha)) 2)
34.6%
(/.f64 2 2)
Compiler

Compiled 1154 to 868 computations (24.8% saved)

localize402.0ms (4.9%)

Local Accuracy

Found 9 expressions with local accuracy:

NewAccuracyProgram
100.0%
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) -1)
100.0%
(/.f64 beta (+.f64 beta (+.f64 alpha 2)))
100.0%
(/.f64 (+.f64 beta 2) beta)
100.0%
(+.f64 (/.f64 1 (/.f64 (+.f64 beta 2) beta)) 1)
99.8%
(/.f64 1 (/.f64 (+.f64 beta 2) beta))
100.0%
(*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))
99.9%
(pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2)
99.9%
(*.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) 1))
74.1%
(-.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) 1)
Compiler

Compiled 320 to 212 computations (33.8% saved)

series15.0ms (0.2%)

Counts
8 → 156
Calls

39 calls:

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

rewrite157.0ms (1.9%)

Algorithm
batch-egg-rewrite
Rules
870×expm1-udef
528×add-sqr-sqrt
520×pow1
518×*-un-lft-identity
492×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
021230
1509218
27765218
Stop Event
node limit
Counts
8 → 298
Calls
Call 1
Inputs
(-.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) 1)
(*.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) 1))
(pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2)
(*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))
(/.f64 1 (/.f64 (+.f64 beta 2) beta))
(+.f64 (/.f64 1 (/.f64 (+.f64 beta 2) beta)) 1)
(/.f64 (+.f64 beta 2) beta)
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) -1)
Outputs
(+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)
(+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2))
(*.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1))
(*.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1) 1)
(*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1))
(*.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)) 2) (cbrt.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)) (sqrt.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)))
(*.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) -1) (/.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) 1))))
(*.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4) -1) (/.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) 1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) 1)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) 1) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4) -1)))
(/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) -1) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) 1)))
(/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) -1) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4) (-.f64 1 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1))))
(/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4) -1) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) 1))
(/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4) -1) (-.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) -1)) (neg.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) 1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4) -1)) (neg.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) 1)))
(pow.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1) 1)
(pow.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)) 2)
(sqrt.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1) 2))
(log.f64 (exp.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1))))
(cbrt.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1) 3))
(expm1.f64 (*.f64 2 (log.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))))
(exp.f64 (log.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)) 1))
(log1p.f64 (expm1.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)))
(fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)
(fma.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4)) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 2) -1)
(+.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)) (*.f64 (+.f64 alpha (+.f64 beta 2)) -1))
(+.f64 (*.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1) beta) (*.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1) (+.f64 alpha 2)))
(+.f64 (*.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1) (+.f64 alpha 2)) (*.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1) beta))
(+.f64 (*.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1) (+.f64 alpha beta)) (*.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1) 2))
(+.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (+.f64 alpha (+.f64 beta 2))) (+.f64 (neg.f64 (+.f64 alpha beta)) -2))
(+.f64 (*.f64 beta (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)) (*.f64 (+.f64 alpha 2) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)))
(+.f64 (*.f64 (+.f64 alpha 2) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)) (*.f64 beta (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)))
(+.f64 (*.f64 (+.f64 alpha beta) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)) (*.f64 2 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)))) 1)
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta))))
(/.f64 (*.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)) (-.f64 beta (+.f64 alpha 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1) (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta))))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) -1)) (*.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta))) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) 1))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4) -1)) (*.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta))) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) 1)))
(/.f64 (*.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) -1)) (*.f64 (-.f64 beta (+.f64 alpha 2)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) 1))))
(/.f64 (*.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4) -1)) (*.f64 (-.f64 beta (+.f64 alpha 2)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) 1)))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) -1) (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))) (*.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) 1)) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) -1) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) 1)) (-.f64 beta (+.f64 alpha 2))))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4) -1) (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))) (*.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) 1) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4) -1) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) 1) (-.f64 beta (+.f64 alpha 2))))
(/.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) -1)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) 1)))
(/.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4) -1)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) 1))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) -1) (+.f64 alpha (+.f64 beta 2))) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) 1)))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4) -1) (+.f64 alpha (+.f64 beta 2))) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) 1))
(pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)) 1)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1))) 2)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 alpha (+.f64 beta 2))) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3) (pow.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1) 3) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1))))
(exp.f64 (log.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1))))
(-.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) 1) 1)
(*.f64 alpha (*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))
(*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) 1)
(*.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 2) (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 2) (*.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4)) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 2))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4)) (*.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 2) 1))
(*.f64 (*.f64 alpha alpha) (*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (*.f64 alpha alpha) (pow.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) 2))
(*.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (*.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) alpha) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
(*.f64 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 2)) (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(/.f64 alpha (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha)))
(/.f64 alpha (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha))
(/.f64 1 (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha)))
(/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))
(/.f64 (neg.f64 alpha) (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) (+.f64 (neg.f64 (+.f64 alpha beta)) -2)))
(/.f64 (*.f64 (neg.f64 alpha) (neg.f64 alpha)) (*.f64 (+.f64 (neg.f64 (+.f64 alpha beta)) -2) (+.f64 (neg.f64 (+.f64 alpha beta)) -2)))
(/.f64 (*.f64 alpha (neg.f64 alpha)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (neg.f64 (+.f64 alpha beta)) -2)))
(/.f64 (*.f64 (neg.f64 alpha) alpha) (*.f64 (+.f64 (neg.f64 (+.f64 alpha beta)) -2) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (*.f64 (neg.f64 alpha) 1) (*.f64 (+.f64 (neg.f64 (+.f64 alpha beta)) -2) (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha)))
(/.f64 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) alpha) (+.f64 alpha (+.f64 beta 2)))
(/.f64 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (neg.f64 alpha)) (+.f64 (neg.f64 (+.f64 alpha beta)) -2))
(/.f64 (*.f64 alpha (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (+.f64 alpha (+.f64 beta 2)))
(/.f64 (*.f64 (neg.f64 alpha) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (+.f64 (neg.f64 (+.f64 alpha beta)) -2))
(sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4))
(log.f64 (exp.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2))))
(cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)))
(exp.f64 (*.f64 2 (log.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)))
(+.f64 (+.f64 alpha (+.f64 beta 2)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(+.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (+.f64 alpha (+.f64 beta 2)))
(+.f64 (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1) beta) (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1) (+.f64 alpha 2)))
(+.f64 (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1) (+.f64 alpha 2)) (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1) beta))
(+.f64 (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1) (+.f64 alpha beta)) (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1) 2))
(+.f64 (*.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1) (+.f64 alpha (+.f64 beta 2)))
(+.f64 (*.f64 beta (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1)) (*.f64 (+.f64 alpha 2) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1)))
(+.f64 (*.f64 (+.f64 alpha 2) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1)) (*.f64 beta (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1)))
(+.f64 (*.f64 (+.f64 alpha beta) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1)) (*.f64 2 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1)))
(+.f64 (+.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) beta) (+.f64 alpha 2))
(+.f64 (+.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (+.f64 alpha 2)) beta)
(+.f64 (+.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (+.f64 alpha beta)) 2)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1)))) 1)
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(/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 3) 1) (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (-.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))))
(/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) -1) (+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) -1))
(/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) -1) (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 3) 1)) (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (+.f64 1 (/.f64 (*.f64 beta -1) (+.f64 alpha (+.f64 beta 2)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) -1)) (neg.f64 (+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) -1)))
(pow.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) 3)
(pow.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 2))
(log.f64 (exp.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))))
(exp.f64 (log1p.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))))
(fma.f64 beta (/.f64 1 (+.f64 alpha (+.f64 beta 2))) 1)
(fma.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 2) (cbrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 1)
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 1)

simplify172.0ms (2.1%)

Algorithm
egg-herbie
Rules
1516×fma-def
1232×associate-+r+
906×distribute-rgt-in
896×distribute-lft-in
682×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0101822656
1312620860
Stop Event
node limit
Counts
454 → 698
Calls
Call 1
Inputs
-1
(-.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2)) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2)) (*.f64 -2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 3 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4))) (*.f64 -2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))) 1)
(*.f64 -2 (/.f64 (+.f64 beta 2) alpha))
(+.f64 (*.f64 -2 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(+.f64 (*.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (*.f64 -2 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))))
(+.f64 (*.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (*.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 -2 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)))))))
(*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) alpha))
(+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(+.f64 (*.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))))
(+.f64 (*.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (*.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)))))))
(-.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -2 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 3)))) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (*.f64 -2 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 3))) (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)) (*.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4))))))) 1)
(-.f64 (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 beta 3) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 5))) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (*.f64 -2 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 3))) (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)) (*.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)))))))) 1)
-1
(-.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 3)))) 1)
(-.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (pow.f64 beta 4))) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (pow.f64 beta 4)) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 3)))))) 1)
-1
(-.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 3)))) 1)
(-.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (pow.f64 beta 4))) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (pow.f64 beta 4)) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 3)))))) 1)
(*.f64 (+.f64 2 alpha) (-.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) 1))
(+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)))) 1)) (*.f64 (+.f64 2 alpha) (-.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) 1)))
(+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)))) 1)) (+.f64 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 -2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 3))) (*.f64 (+.f64 2 alpha) (+.f64 (*.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)))))) (*.f64 (+.f64 2 alpha) (-.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) 1))))
(+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)))) 1)) (+.f64 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)) (*.f64 -4 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)))))) (+.f64 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 -2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 3))) (*.f64 (+.f64 2 alpha) (+.f64 (*.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)))))) (*.f64 (+.f64 2 alpha) (-.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) 1)))))
(*.f64 -1 beta)
(+.f64 (*.f64 -1 beta) (*.f64 -1 (+.f64 2 alpha)))
(+.f64 (*.f64 -1 beta) (+.f64 (/.f64 (pow.f64 alpha 2) beta) (*.f64 -1 (+.f64 2 alpha))))
(+.f64 (*.f64 -1 beta) (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 2)) (+.f64 (/.f64 (pow.f64 alpha 2) beta) (+.f64 (*.f64 -1 (+.f64 2 alpha)) (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 2)))))))
(*.f64 -1 beta)
(+.f64 (*.f64 -1 beta) (*.f64 -1 (+.f64 2 alpha)))
(+.f64 (*.f64 -1 beta) (+.f64 (/.f64 (pow.f64 alpha 2) beta) (*.f64 -1 (+.f64 2 alpha))))
(+.f64 (*.f64 -1 beta) (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 2)) (+.f64 (/.f64 (pow.f64 alpha 2) beta) (+.f64 (*.f64 -1 (+.f64 2 alpha)) (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 2)))))))
(*.f64 -1 (+.f64 beta 2))
(+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 alpha))
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 2)) (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 alpha)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 2)) (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 alpha))))
(*.f64 -2 (+.f64 beta 2))
(+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (*.f64 -2 (+.f64 beta 2)))))
(+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha) (+.f64 (*.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -2 (+.f64 beta 2)))))))
(+.f64 (*.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 3))) (+.f64 (*.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 2))) (+.f64 (*.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 3))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 3)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (+.f64 (*.f64 -2 (+.f64 beta 2)) (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha) (/.f64 (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 2)) (pow.f64 alpha 2))))))))))
(*.f64 -1 (+.f64 4 (*.f64 2 beta)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2))) alpha)) (*.f64 -1 (+.f64 4 (*.f64 2 beta))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2))) alpha)) (+.f64 (*.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 2))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (+.f64 4 (*.f64 2 beta))))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2))) alpha)) (+.f64 (*.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (+.f64 (pow.f64 (+.f64 beta 2) 4) (*.f64 4 (pow.f64 (+.f64 beta 2) 4)))) (*.f64 4 (pow.f64 (+.f64 beta 2) 4))) (pow.f64 alpha 3))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (+.f64 4 (*.f64 2 beta)))))))
(/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))
(+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2)) (*.f64 -2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))
(+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 3 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4))) (*.f64 -2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))))
(+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 -4 (/.f64 (pow.f64 alpha 5) (pow.f64 (+.f64 beta 2) 5))) (+.f64 (*.f64 3 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4))) (*.f64 -2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))))
1
(+.f64 1 (*.f64 -2 (/.f64 (+.f64 beta 2) alpha)))
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))))
(+.f64 (*.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 1 (+.f64 (*.f64 -2 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))))
1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) alpha)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) alpha)) (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))))
(+.f64 (*.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) alpha)) (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))))
(/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2))
(+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -2 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 3))))
(+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (*.f64 -2 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 3))) (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)) (*.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)))))))
(+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 beta 3) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 5))) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (*.f64 -2 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 3))) (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)) (*.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4))))))))
(/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 3))) (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)))
(+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (pow.f64 beta 4))) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (pow.f64 beta 4)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 3))) (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)))))
(+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (pow.f64 beta 4))) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (pow.f64 beta 4)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 3))) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (*.f64 -4 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 alpha 2)) (pow.f64 beta 5)))))))
(/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 3))) (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)))
(+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (pow.f64 beta 4))) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (pow.f64 beta 4)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 3))) (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)))))
(+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (pow.f64 beta 4))) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (pow.f64 beta 4)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 3))) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (*.f64 -4 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 alpha 2)) (pow.f64 beta 5)))))))
(*.f64 (+.f64 2 alpha) (+.f64 1 (/.f64 alpha (+.f64 2 alpha))))
(+.f64 (*.f64 beta (+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))))) (*.f64 (+.f64 2 alpha) (+.f64 1 (/.f64 alpha (+.f64 2 alpha)))))
(+.f64 (*.f64 beta (+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))))) (+.f64 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (+.f64 2 alpha) (+.f64 1 (/.f64 alpha (+.f64 2 alpha))))))
(+.f64 (*.f64 beta (+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))))) (+.f64 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)))) (+.f64 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (+.f64 2 alpha) (+.f64 1 (/.f64 alpha (+.f64 2 alpha)))))))
beta
(+.f64 beta (+.f64 2 (*.f64 2 alpha)))
(+.f64 beta (+.f64 2 (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) beta) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) beta)) (*.f64 2 alpha)))))
(+.f64 beta (+.f64 2 (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) beta) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) beta)) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 2))) (*.f64 2 alpha)))))))
beta
(+.f64 beta (+.f64 2 (*.f64 2 alpha)))
(+.f64 beta (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 2 alpha) alpha)) (*.f64 (+.f64 2 alpha) alpha)) beta)) (*.f64 2 alpha))))
(+.f64 beta (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 2 alpha) alpha)) (*.f64 (+.f64 2 alpha) alpha)) beta)) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 2))) (*.f64 2 alpha))))))
(+.f64 beta 2)
(+.f64 beta (+.f64 2 (*.f64 2 alpha)))
(+.f64 beta (+.f64 2 (*.f64 2 alpha)))
(+.f64 beta (+.f64 2 (*.f64 2 alpha)))
(*.f64 2 alpha)
(+.f64 (*.f64 2 (+.f64 beta 2)) (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 2 alpha)))
(+.f64 (*.f64 -1 (+.f64 beta 2)) (+.f64 (*.f64 2 (+.f64 beta 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (*.f64 2 alpha)))))
(+.f64 (*.f64 -1 (+.f64 beta 2)) (+.f64 (*.f64 2 (+.f64 beta 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (*.f64 2 alpha)))))))
(*.f64 2 alpha)
(+.f64 (*.f64 2 (+.f64 beta 2)) (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 2 alpha)))
(+.f64 (*.f64 -1 (+.f64 beta 2)) (+.f64 (*.f64 2 (+.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 -1 (pow.f64 (+.f64 beta 2) 2))) alpha)) (*.f64 2 alpha))))
(+.f64 (*.f64 -1 (+.f64 beta 2)) (+.f64 (*.f64 2 (+.f64 beta 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 -1 (pow.f64 (+.f64 beta 2) 2))) alpha)) (*.f64 2 alpha))))))
(*.f64 1/2 beta)
(+.f64 (*.f64 1/2 beta) (*.f64 -1/4 (pow.f64 beta 2)))
(+.f64 (*.f64 1/2 beta) (+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/8 (pow.f64 beta 3))))
(+.f64 (*.f64 -1/16 (pow.f64 beta 4)) (+.f64 (*.f64 1/2 beta) (+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/8 (pow.f64 beta 3)))))
1
(-.f64 1 (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta))))
1
(-.f64 1 (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta))))
1
(+.f64 1 (*.f64 1/2 beta))
(+.f64 1 (+.f64 (*.f64 1/2 beta) (*.f64 -1/4 (pow.f64 beta 2))))
(+.f64 1 (+.f64 (*.f64 1/2 beta) (+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/8 (pow.f64 beta 3)))))
2
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta))))
2
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta))))
(/.f64 2 beta)
(+.f64 (*.f64 2 (/.f64 1 beta)) 1)
(+.f64 (*.f64 2 (/.f64 1 beta)) 1)
(+.f64 (*.f64 2 (/.f64 1 beta)) 1)
1
(+.f64 (*.f64 2 (/.f64 1 beta)) 1)
(+.f64 (*.f64 2 (/.f64 1 beta)) 1)
(+.f64 (*.f64 2 (/.f64 1 beta)) 1)
1
(+.f64 (*.f64 2 (/.f64 1 beta)) 1)
(+.f64 (*.f64 2 (/.f64 1 beta)) 1)
(+.f64 (*.f64 2 (/.f64 1 beta)) 1)
1
(+.f64 1 (/.f64 beta (+.f64 2 alpha)))
(+.f64 1 (+.f64 (/.f64 beta (+.f64 2 alpha)) (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2)))))
(+.f64 1 (+.f64 (/.f64 beta (+.f64 2 alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3)))))
2
(+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)))
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))
2
(+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)))
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))) (+.f64 1 (/.f64 beta (+.f64 beta 2))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))) (+.f64 1 (+.f64 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (+.f64 beta 2)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))) (+.f64 1 (+.f64 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 beta 2) 3)) (+.f64 (/.f64 beta (+.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 4)))))))
1
(+.f64 1 (/.f64 beta alpha))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 1 (/.f64 beta alpha)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 1 (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))
1
(+.f64 1 (/.f64 beta alpha))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 1 (/.f64 beta alpha)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 1 (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))
(+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)
(+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2))
(*.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1))
(*.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1) 1)
(*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1))
(*.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)) 2) (cbrt.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)) (sqrt.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)))
(*.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) -1) (/.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) 1))))
(*.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4) -1) (/.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) 1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) 1)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) 1) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4) -1)))
(/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) -1) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) 1)))
(/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) -1) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4) (-.f64 1 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1))))
(/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4) -1) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) 1))
(/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4) -1) (-.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) -1)) (neg.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) 1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4) -1)) (neg.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) 1)))
(pow.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1) 1)
(pow.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)) 2)
(sqrt.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1) 2))
(log.f64 (exp.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1))))
(cbrt.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1) 3))
(expm1.f64 (*.f64 2 (log.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))))
(exp.f64 (log.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)) 1))
(log1p.f64 (expm1.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)))
(fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)
(fma.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4)) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 2) -1)
(+.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)) (*.f64 (+.f64 alpha (+.f64 beta 2)) -1))
(+.f64 (*.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1) beta) (*.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1) (+.f64 alpha 2)))
(+.f64 (*.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1) (+.f64 alpha 2)) (*.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1) beta))
(+.f64 (*.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1) (+.f64 alpha beta)) (*.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1) 2))
(+.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (+.f64 alpha (+.f64 beta 2))) (+.f64 (neg.f64 (+.f64 alpha beta)) -2))
(+.f64 (*.f64 beta (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)) (*.f64 (+.f64 alpha 2) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)))
(+.f64 (*.f64 (+.f64 alpha 2) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)) (*.f64 beta (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)))
(+.f64 (*.f64 (+.f64 alpha beta) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)) (*.f64 2 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)))) 1)
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta))))
(/.f64 (*.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)) (-.f64 beta (+.f64 alpha 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1) (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta))))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) -1)) (*.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta))) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) 1))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4) -1)) (*.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta))) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) 1)))
(/.f64 (*.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) -1)) (*.f64 (-.f64 beta (+.f64 alpha 2)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) 1))))
(/.f64 (*.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4) -1)) (*.f64 (-.f64 beta (+.f64 alpha 2)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) 1)))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) -1) (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))) (*.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) 1)) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) -1) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) 1)) (-.f64 beta (+.f64 alpha 2))))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4) -1) (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))) (*.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) 1) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4) -1) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) 1) (-.f64 beta (+.f64 alpha 2))))
(/.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) -1)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) 1)))
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(exp.f64 (log.f64 (/.f64 beta (+.f64 beta 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 beta 2) beta)) -1))
(exp.f64 (*.f64 (log.f64 (/.f64 beta (+.f64 beta 2))) 1))
(exp.f64 (-.f64 (log.f64 beta) (log.f64 (+.f64 beta 2))))
(log1p.f64 (expm1.f64 (/.f64 beta (+.f64 beta 2))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))))) 1)
(-.f64 (/.f64 (pow.f64 (/.f64 (+.f64 beta 2) beta) -2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1)))
(*.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2))))
(*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 1)
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)) (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (sqrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))
(*.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (+.f64 beta 2) beta) -2) (-.f64 1 (/.f64 beta (+.f64 beta 2))))))
(*.f64 (+.f64 (pow.f64 (/.f64 (+.f64 beta 2) beta) -2) -1) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 beta 2) beta) -2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))) (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3))))
(/.f64 1 (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) -1) (+.f64 (pow.f64 (/.f64 (+.f64 beta 2) beta) -2) -1)))
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (+.f64 (pow.f64 (/.f64 (+.f64 beta 2) beta) -2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) beta) -2) (/.f64 beta (+.f64 beta 2)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 beta 2) beta) -2) -1) (+.f64 (/.f64 beta (+.f64 beta 2)) -1))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 (+.f64 beta 2) beta) -2) (-.f64 1 (/.f64 beta (+.f64 beta 2))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (+.f64 beta 2) beta) -2) -1)) (neg.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) -1)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 beta 2) beta) -2)) (-.f64 1 (/.f64 beta (+.f64 beta 2))))
(pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2))
(log.f64 (exp.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))))))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))
(exp.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))
(fma.f64 1 (/.f64 beta (+.f64 beta 2)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 1)
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 1)
(fma.f64 (/.f64 1 (+.f64 beta 2)) beta 1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 beta 2) beta))) 1)
(*.f64 1 (/.f64 (+.f64 beta 2) beta))
(*.f64 (+.f64 beta 2) (/.f64 1 beta))
(*.f64 (/.f64 (+.f64 beta 2) beta) 1)
(*.f64 (cbrt.f64 (pow.f64 (+.f64 beta 2) 2)) (*.f64 (cbrt.f64 (+.f64 beta 2)) (/.f64 1 beta)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) beta)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) beta)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) beta)) 2) (cbrt.f64 (/.f64 (+.f64 beta 2) beta)))
(*.f64 (sqrt.f64 (+.f64 beta 2)) (*.f64 (sqrt.f64 (+.f64 beta 2)) (/.f64 1 beta)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 beta 2) beta)) (sqrt.f64 (/.f64 (+.f64 beta 2) beta)))
(*.f64 (+.f64 (neg.f64 beta) -2) (/.f64 1 (neg.f64 beta)))
(*.f64 (/.f64 1 beta) (+.f64 beta 2))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 beta beta))) (/.f64 (+.f64 beta 2) (cbrt.f64 beta)))
(*.f64 (/.f64 1 (sqrt.f64 beta)) (/.f64 (+.f64 beta 2) (sqrt.f64 beta)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 beta 2) 2)) 1) (/.f64 (cbrt.f64 (+.f64 beta 2)) beta))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 beta 2) 2)) (cbrt.f64 (*.f64 beta beta))) (cbrt.f64 (/.f64 (+.f64 beta 2) beta)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 beta 2) 2)) (sqrt.f64 beta)) (/.f64 (cbrt.f64 (+.f64 beta 2)) (sqrt.f64 beta)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta 2)) 1) (/.f64 (sqrt.f64 (+.f64 beta 2)) beta))
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta 2)) (cbrt.f64 (*.f64 beta beta))) (/.f64 (sqrt.f64 (+.f64 beta 2)) (cbrt.f64 beta)))
(pow.f64 (/.f64 (+.f64 beta 2) beta) 1)
(pow.f64 (/.f64 beta (+.f64 beta 2)) -1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) beta)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 beta 2) beta) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 beta 2) beta)) 2)
(neg.f64 (/.f64 (+.f64 beta 2) (neg.f64 beta)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 beta 2) beta) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 beta 2) beta)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 beta 2) beta))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 2) beta) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 beta 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 beta 2) beta)))
(exp.f64 (log.f64 (/.f64 (+.f64 beta 2) beta)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 beta 2) beta)) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 beta 2) beta)))
(+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))
(+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 1)
(*.f64 1 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 1)
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 2)) (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))))
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) (sqrt.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))))
(*.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 3) 1) (/.f64 1 (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (+.f64 1 (/.f64 (*.f64 beta -1) (+.f64 alpha (+.f64 beta 2)))))))
(*.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) -1) (/.f64 1 (+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (+.f64 1 (/.f64 (*.f64 beta -1) (+.f64 alpha (+.f64 beta 2))))) (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 3) 1)))
(/.f64 1 (/.f64 (+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) -1) (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) -1)))
(/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 3) 1) (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (+.f64 1 (/.f64 (*.f64 beta -1) (+.f64 alpha (+.f64 beta 2))))))
(/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 3) 1) (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (-.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))))
(/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) -1) (+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) -1))
(/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) -1) (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 3) 1)) (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (+.f64 1 (/.f64 (*.f64 beta -1) (+.f64 alpha (+.f64 beta 2)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) -1)) (neg.f64 (+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) -1)))
(pow.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) 3)
(pow.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 2))
(log.f64 (exp.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))))
(exp.f64 (log1p.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))))
(fma.f64 beta (/.f64 1 (+.f64 alpha (+.f64 beta 2))) 1)
(fma.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 2) (cbrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 1)
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 1)
Outputs
-1
(-.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2)) 1)
(+.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2)) -1)
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2)) (*.f64 -2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) 1)
(+.f64 (+.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2)) (*.f64 -2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3)))) -1)
(+.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2)) (fma.f64 -2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3)) -1))
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 3 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4))) (*.f64 -2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))) 1)
(+.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2)) (-.f64 (fma.f64 3 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 2 beta) 4)) (*.f64 -2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3)))) 1))
(+.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2)) (+.f64 (fma.f64 -2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3)) (/.f64 (*.f64 3 (pow.f64 alpha 4)) (pow.f64 (+.f64 2 beta) 4))) -1))
(*.f64 -2 (/.f64 (+.f64 beta 2) alpha))
(*.f64 -2 (/.f64 (+.f64 2 beta) alpha))
(/.f64 (fma.f64 beta -2 -4) alpha)
(+.f64 (*.f64 -2 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(fma.f64 -2 (/.f64 (+.f64 2 beta) alpha) (*.f64 3 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))))
(fma.f64 3 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 (fma.f64 beta -2 -4) alpha))
(+.f64 (*.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (*.f64 -2 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))))
(fma.f64 -4 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (fma.f64 -2 (/.f64 (+.f64 2 beta) alpha) (*.f64 3 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)))))
(fma.f64 -4 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (fma.f64 3 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 (fma.f64 beta -2 -4) alpha)))
(+.f64 (*.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (*.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 -2 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)))))))
(fma.f64 -4 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (fma.f64 4 (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4)) (fma.f64 -2 (/.f64 (+.f64 2 beta) alpha) (+.f64 (*.f64 3 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))) (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4))))))
(fma.f64 -4 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (+.f64 (fma.f64 4 (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4)) (/.f64 (fma.f64 beta -2 -4) alpha)) (fma.f64 3 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4)))))
(*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) alpha))
(*.f64 -2 (/.f64 (+.f64 2 beta) alpha))
(/.f64 (fma.f64 beta -2 -4) alpha)
(+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(fma.f64 -2 (/.f64 (+.f64 2 beta) alpha) (*.f64 3 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))))
(fma.f64 3 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 (fma.f64 beta -2 -4) alpha))
(+.f64 (*.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))))
(fma.f64 -4 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (fma.f64 -2 (/.f64 (+.f64 2 beta) alpha) (*.f64 3 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)))))
(fma.f64 -4 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (fma.f64 3 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 (fma.f64 beta -2 -4) alpha)))
(+.f64 (*.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (*.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)))))))
(fma.f64 -4 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (fma.f64 4 (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4)) (fma.f64 -2 (/.f64 (+.f64 2 beta) alpha) (+.f64 (*.f64 3 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))) (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4))))))
(fma.f64 -4 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (+.f64 (fma.f64 4 (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4)) (/.f64 (fma.f64 beta -2 -4) alpha)) (fma.f64 3 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4)))))
(-.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) 1)
(+.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2)) -1)
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -2 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 3)))) 1)
(+.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2)) (-.f64 (*.f64 -2 (/.f64 beta (/.f64 (pow.f64 (+.f64 alpha 2) 3) (*.f64 alpha alpha)))) 1))
(+.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2)) (fma.f64 -2 (/.f64 beta (/.f64 (pow.f64 (+.f64 alpha 2) 3) (*.f64 alpha alpha))) -1))
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (*.f64 -2 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 3))) (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)) (*.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4))))))) 1)
(+.f64 (+.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2)) (fma.f64 -2 (/.f64 beta (/.f64 (pow.f64 (+.f64 alpha 2) 3) (*.f64 alpha alpha))) (*.f64 (*.f64 beta beta) (*.f64 3 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 4)))))) -1)
(+.f64 (+.f64 (fma.f64 -2 (/.f64 beta (/.f64 (pow.f64 (+.f64 alpha 2) 3) (*.f64 alpha alpha))) (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (*.f64 beta beta) (*.f64 3 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 4))))) -1)
(-.f64 (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 beta 3) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 5))) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (*.f64 -2 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 3))) (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)) (*.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)))))))) 1)
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(/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))
(/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2))
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(fma.f64 -2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3)) (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2)))
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1
(+.f64 1 (*.f64 -2 (/.f64 (+.f64 beta 2) alpha)))
(+.f64 1 (*.f64 -2 (/.f64 (+.f64 2 beta) alpha)))
(+.f64 1 (/.f64 (fma.f64 beta -2 -4) alpha))
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(+.f64 1 (fma.f64 3 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 (fma.f64 beta -2 -4) alpha)))
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1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) alpha)))
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(+.f64 1 (/.f64 (fma.f64 beta -2 -4) alpha))
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(+.f64 1 (fma.f64 -2 (/.f64 (+.f64 2 beta) alpha) (*.f64 3 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)))))
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(/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2))
(/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2))
(+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -2 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 3))))
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(fma.f64 -2 (/.f64 beta (/.f64 (pow.f64 (+.f64 alpha 2) 3) (*.f64 alpha alpha))) (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2)))
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(+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 beta 3) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 5))) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (*.f64 -2 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 3))) (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)) (*.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4))))))))
(fma.f64 -4 (/.f64 (pow.f64 beta 3) (/.f64 (pow.f64 (+.f64 alpha 2) 5) (*.f64 alpha alpha))) (+.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2)) (fma.f64 -2 (/.f64 beta (/.f64 (pow.f64 (+.f64 alpha 2) 3) (*.f64 alpha alpha))) (*.f64 (*.f64 beta beta) (*.f64 3 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 4)))))))
(fma.f64 -4 (/.f64 (pow.f64 beta 3) (/.f64 (pow.f64 (+.f64 alpha 2) 5) (*.f64 alpha alpha))) (+.f64 (fma.f64 -2 (/.f64 beta (/.f64 (pow.f64 (+.f64 alpha 2) 3) (*.f64 alpha alpha))) (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (*.f64 beta beta) (*.f64 3 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 4))))))
(/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))
(/.f64 (*.f64 alpha alpha) (*.f64 beta beta))
(*.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 3))) (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)))
(fma.f64 -2 (/.f64 (*.f64 (*.f64 alpha alpha) (+.f64 alpha 2)) (pow.f64 beta 3)) (/.f64 (*.f64 alpha alpha) (*.f64 beta beta)))
(fma.f64 -2 (/.f64 (*.f64 (*.f64 alpha alpha) (+.f64 alpha 2)) (pow.f64 beta 3)) (*.f64 (/.f64 alpha beta) (/.f64 alpha beta)))
(+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (pow.f64 beta 4))) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (pow.f64 beta 4)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 3))) (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)))))
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(+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (pow.f64 beta 4))) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (pow.f64 beta 4)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 3))) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (*.f64 -4 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 alpha 2)) (pow.f64 beta 5)))))))
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(/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))
(/.f64 (*.f64 alpha alpha) (*.f64 beta beta))
(*.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 3))) (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)))
(fma.f64 -2 (/.f64 (*.f64 (*.f64 alpha alpha) (+.f64 alpha 2)) (pow.f64 beta 3)) (/.f64 (*.f64 alpha alpha) (*.f64 beta beta)))
(fma.f64 -2 (/.f64 (*.f64 (*.f64 alpha alpha) (+.f64 alpha 2)) (pow.f64 beta 3)) (*.f64 (/.f64 alpha beta) (/.f64 alpha beta)))
(+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (pow.f64 beta 4))) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (pow.f64 beta 4)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 3))) (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)))))
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(+.f64 (*.f64 3 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 4) (*.f64 alpha alpha)))) (fma.f64 -2 (/.f64 (*.f64 (*.f64 alpha alpha) (+.f64 alpha 2)) (pow.f64 beta 3)) (*.f64 (/.f64 alpha beta) (/.f64 alpha beta))))
(+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (pow.f64 beta 4))) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (pow.f64 beta 4)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 3))) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (*.f64 -4 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 alpha 2)) (pow.f64 beta 5)))))))
(fma.f64 2 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 4) (*.f64 alpha alpha))) (+.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 4) (*.f64 alpha alpha))) (+.f64 (fma.f64 -2 (/.f64 (*.f64 (*.f64 alpha alpha) (+.f64 alpha 2)) (pow.f64 beta 3)) (/.f64 (*.f64 alpha alpha) (*.f64 beta beta))) (*.f64 -4 (/.f64 (pow.f64 (+.f64 alpha 2) 3) (/.f64 (pow.f64 beta 5) (*.f64 alpha alpha)))))))
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(*.f64 (+.f64 2 alpha) (+.f64 1 (/.f64 alpha (+.f64 2 alpha))))
(*.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 alpha 2))
(+.f64 (*.f64 beta (+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))))) (*.f64 (+.f64 2 alpha) (+.f64 1 (/.f64 alpha (+.f64 2 alpha)))))
(fma.f64 beta (+.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (*.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 alpha 2)))
(fma.f64 beta (+.f64 (/.f64 alpha (+.f64 alpha 2)) (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (*.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 alpha 2)))
(+.f64 (*.f64 beta (+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))))) (+.f64 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (+.f64 2 alpha) (+.f64 1 (/.f64 alpha (+.f64 2 alpha))))))
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(fma.f64 beta (+.f64 (/.f64 alpha (+.f64 alpha 2)) (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (fma.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 alpha 2) (*.f64 (*.f64 beta beta) 0)))
(+.f64 (*.f64 beta (+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))))) (+.f64 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)))) (+.f64 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (+.f64 2 alpha) (+.f64 1 (/.f64 alpha (+.f64 2 alpha)))))))
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beta
(+.f64 beta (+.f64 2 (*.f64 2 alpha)))
(+.f64 beta (+.f64 2 (*.f64 alpha 2)))
(+.f64 beta (fma.f64 alpha 2 2))
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(+.f64 beta (+.f64 (+.f64 2 (*.f64 0 (/.f64 (*.f64 alpha (+.f64 alpha 2)) beta))) (*.f64 alpha 2)))
(+.f64 beta (+.f64 2 (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) beta) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) beta)) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 2))) (*.f64 2 alpha)))))))
(+.f64 beta (+.f64 2 (+.f64 (/.f64 (*.f64 alpha (+.f64 alpha 2)) beta) (fma.f64 -1 (/.f64 (*.f64 alpha (+.f64 alpha 2)) beta) (+.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (*.f64 beta beta) alpha)) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (*.f64 beta beta) alpha)) (*.f64 alpha 2)))))))
(+.f64 (+.f64 2 beta) (+.f64 (*.f64 0 (/.f64 (*.f64 alpha (+.f64 alpha 2)) beta)) (+.f64 (*.f64 0 (*.f64 (/.f64 alpha beta) (/.f64 (pow.f64 (+.f64 alpha 2) 2) beta))) (*.f64 alpha 2))))
beta
(+.f64 beta (+.f64 2 (*.f64 2 alpha)))
(+.f64 beta (+.f64 2 (*.f64 alpha 2)))
(+.f64 beta (fma.f64 alpha 2 2))
(+.f64 beta (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 2 alpha) alpha)) (*.f64 (+.f64 2 alpha) alpha)) beta)) (*.f64 2 alpha))))
(+.f64 beta (+.f64 2 (fma.f64 -1 (/.f64 (*.f64 0 (*.f64 alpha (+.f64 alpha 2))) beta) (*.f64 alpha 2))))
(+.f64 beta (+.f64 (fma.f64 alpha 2 2) (/.f64 0 beta)))
(+.f64 beta (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 2 alpha) alpha)) (*.f64 (+.f64 2 alpha) alpha)) beta)) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 2))) (*.f64 2 alpha))))))
(+.f64 beta (+.f64 2 (fma.f64 -1 (/.f64 (*.f64 0 (*.f64 alpha (+.f64 alpha 2))) beta) (+.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (*.f64 beta beta) alpha)) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (*.f64 beta beta) alpha)) (*.f64 alpha 2))))))
(+.f64 (+.f64 2 beta) (+.f64 (+.f64 (/.f64 0 beta) (*.f64 0 (*.f64 (/.f64 alpha beta) (/.f64 (pow.f64 (+.f64 alpha 2) 2) beta)))) (*.f64 alpha 2)))
(+.f64 beta 2)
(+.f64 2 beta)
(+.f64 beta (+.f64 2 (*.f64 2 alpha)))
(+.f64 beta (+.f64 2 (*.f64 alpha 2)))
(+.f64 beta (fma.f64 alpha 2 2))
(+.f64 beta (+.f64 2 (*.f64 2 alpha)))
(+.f64 beta (+.f64 2 (*.f64 alpha 2)))
(+.f64 beta (fma.f64 alpha 2 2))
(+.f64 beta (+.f64 2 (*.f64 2 alpha)))
(+.f64 beta (+.f64 2 (*.f64 alpha 2)))
(+.f64 beta (fma.f64 alpha 2 2))
(*.f64 2 alpha)
(*.f64 alpha 2)
(+.f64 (*.f64 2 (+.f64 beta 2)) (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 2 alpha)))
(+.f64 beta (+.f64 2 (*.f64 alpha 2)))
(+.f64 beta (fma.f64 alpha 2 2))
(+.f64 (*.f64 -1 (+.f64 beta 2)) (+.f64 (*.f64 2 (+.f64 beta 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (*.f64 2 alpha)))))
(fma.f64 -1 (+.f64 2 beta) (fma.f64 2 (+.f64 2 beta) (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha) (*.f64 alpha 2)))))
(+.f64 (+.f64 2 beta) (+.f64 (*.f64 0 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (*.f64 alpha 2)))
(+.f64 (*.f64 -1 (+.f64 beta 2)) (+.f64 (*.f64 2 (+.f64 beta 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (*.f64 2 alpha)))))))
(fma.f64 -1 (+.f64 2 beta) (fma.f64 2 (+.f64 2 beta) (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha) (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (*.f64 alpha alpha)) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 3) (*.f64 alpha alpha)) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha) (*.f64 alpha 2)))))))
(+.f64 (+.f64 2 beta) (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha) (+.f64 (*.f64 0 (/.f64 (pow.f64 (+.f64 2 beta) 3) (*.f64 alpha alpha))) (-.f64 (*.f64 alpha 2) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)))))
(*.f64 2 alpha)
(*.f64 alpha 2)
(+.f64 (*.f64 2 (+.f64 beta 2)) (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 2 alpha)))
(+.f64 beta (+.f64 2 (*.f64 alpha 2)))
(+.f64 beta (fma.f64 alpha 2 2))
(+.f64 (*.f64 -1 (+.f64 beta 2)) (+.f64 (*.f64 2 (+.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 -1 (pow.f64 (+.f64 beta 2) 2))) alpha)) (*.f64 2 alpha))))
(fma.f64 -1 (+.f64 2 beta) (fma.f64 2 (+.f64 2 beta) (fma.f64 -1 (/.f64 (*.f64 0 (pow.f64 (+.f64 2 beta) 2)) alpha) (*.f64 alpha 2))))
(+.f64 (+.f64 2 beta) (fma.f64 alpha 2 (/.f64 0 alpha)))
(+.f64 (*.f64 -1 (+.f64 beta 2)) (+.f64 (*.f64 2 (+.f64 beta 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 -1 (pow.f64 (+.f64 beta 2) 2))) alpha)) (*.f64 2 alpha))))))
(fma.f64 -1 (+.f64 2 beta) (fma.f64 2 (+.f64 2 beta) (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (*.f64 alpha alpha)) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 3) (*.f64 alpha alpha)) (fma.f64 -1 (/.f64 (*.f64 0 (pow.f64 (+.f64 2 beta) 2)) alpha) (*.f64 alpha 2))))))
(+.f64 (+.f64 2 beta) (+.f64 (*.f64 0 (/.f64 (pow.f64 (+.f64 2 beta) 3) (*.f64 alpha alpha))) (fma.f64 alpha 2 (/.f64 0 alpha))))
(*.f64 1/2 beta)
(*.f64 beta 1/2)
(+.f64 (*.f64 1/2 beta) (*.f64 -1/4 (pow.f64 beta 2)))
(fma.f64 1/2 beta (*.f64 (*.f64 beta beta) -1/4))
(fma.f64 beta 1/2 (*.f64 (*.f64 beta beta) -1/4))
(+.f64 (*.f64 1/2 beta) (+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/8 (pow.f64 beta 3))))
(fma.f64 1/2 beta (fma.f64 -1/4 (*.f64 beta beta) (*.f64 (pow.f64 beta 3) 1/8)))
(fma.f64 beta 1/2 (fma.f64 (*.f64 beta beta) -1/4 (*.f64 (pow.f64 beta 3) 1/8)))
(+.f64 (*.f64 -1/16 (pow.f64 beta 4)) (+.f64 (*.f64 1/2 beta) (+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/8 (pow.f64 beta 3)))))
(fma.f64 -1/16 (pow.f64 beta 4) (fma.f64 1/2 beta (fma.f64 -1/4 (*.f64 beta beta) (*.f64 (pow.f64 beta 3) 1/8))))
(fma.f64 (pow.f64 beta 4) -1/16 (fma.f64 beta 1/2 (fma.f64 (*.f64 beta beta) -1/4 (*.f64 (pow.f64 beta 3) 1/8))))
1
(-.f64 1 (*.f64 2 (/.f64 1 beta)))
(-.f64 1 (/.f64 2 beta))
(+.f64 1 (/.f64 -2 beta))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 1 (/.f64 4 (*.f64 beta beta))) (/.f64 2 beta))
(+.f64 1 (-.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 2 beta)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta))))
(-.f64 (+.f64 1 (/.f64 4 (*.f64 beta beta))) (+.f64 (/.f64 2 beta) (/.f64 8 (pow.f64 beta 3))))
(+.f64 (-.f64 (+.f64 1 (/.f64 4 (*.f64 beta beta))) (/.f64 8 (pow.f64 beta 3))) (/.f64 -2 beta))
1
(-.f64 1 (*.f64 2 (/.f64 1 beta)))
(-.f64 1 (/.f64 2 beta))
(+.f64 1 (/.f64 -2 beta))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 1 (/.f64 4 (*.f64 beta beta))) (/.f64 2 beta))
(+.f64 1 (-.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 2 beta)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta))))
(-.f64 (+.f64 1 (/.f64 4 (*.f64 beta beta))) (+.f64 (/.f64 2 beta) (/.f64 8 (pow.f64 beta 3))))
(+.f64 (-.f64 (+.f64 1 (/.f64 4 (*.f64 beta beta))) (/.f64 8 (pow.f64 beta 3))) (/.f64 -2 beta))
1
(+.f64 1 (*.f64 1/2 beta))
(+.f64 1 (*.f64 beta 1/2))
(fma.f64 beta 1/2 1)
(+.f64 1 (+.f64 (*.f64 1/2 beta) (*.f64 -1/4 (pow.f64 beta 2))))
(+.f64 1 (fma.f64 1/2 beta (*.f64 (*.f64 beta beta) -1/4)))
(+.f64 (fma.f64 beta 1/2 1) (*.f64 (*.f64 beta beta) -1/4))
(+.f64 1 (+.f64 (*.f64 1/2 beta) (+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/8 (pow.f64 beta 3)))))
(+.f64 1 (fma.f64 1/2 beta (fma.f64 -1/4 (*.f64 beta beta) (*.f64 (pow.f64 beta 3) 1/8))))
(+.f64 (fma.f64 beta 1/2 1) (fma.f64 (*.f64 beta beta) -1/4 (*.f64 (pow.f64 beta 3) 1/8)))
2
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(-.f64 2 (/.f64 2 beta))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta)))
(+.f64 2 (-.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 2 beta)))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta))))
(+.f64 2 (-.f64 (/.f64 4 (*.f64 beta beta)) (+.f64 (/.f64 2 beta) (/.f64 8 (pow.f64 beta 3)))))
(-.f64 (+.f64 2 (/.f64 4 (*.f64 beta beta))) (+.f64 (/.f64 2 beta) (/.f64 8 (pow.f64 beta 3))))
2
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(-.f64 2 (/.f64 2 beta))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta)))
(+.f64 2 (-.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 2 beta)))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta))))
(+.f64 2 (-.f64 (/.f64 4 (*.f64 beta beta)) (+.f64 (/.f64 2 beta) (/.f64 8 (pow.f64 beta 3)))))
(-.f64 (+.f64 2 (/.f64 4 (*.f64 beta beta))) (+.f64 (/.f64 2 beta) (/.f64 8 (pow.f64 beta 3))))
(/.f64 2 beta)
(+.f64 (*.f64 2 (/.f64 1 beta)) 1)
(+.f64 1 (/.f64 2 beta))
(+.f64 (*.f64 2 (/.f64 1 beta)) 1)
(+.f64 1 (/.f64 2 beta))
(+.f64 (*.f64 2 (/.f64 1 beta)) 1)
(+.f64 1 (/.f64 2 beta))
1
(+.f64 (*.f64 2 (/.f64 1 beta)) 1)
(+.f64 1 (/.f64 2 beta))
(+.f64 (*.f64 2 (/.f64 1 beta)) 1)
(+.f64 1 (/.f64 2 beta))
(+.f64 (*.f64 2 (/.f64 1 beta)) 1)
(+.f64 1 (/.f64 2 beta))
1
(+.f64 (*.f64 2 (/.f64 1 beta)) 1)
(+.f64 1 (/.f64 2 beta))
(+.f64 (*.f64 2 (/.f64 1 beta)) 1)
(+.f64 1 (/.f64 2 beta))
(+.f64 (*.f64 2 (/.f64 1 beta)) 1)
(+.f64 1 (/.f64 2 beta))
1
(+.f64 1 (/.f64 beta (+.f64 2 alpha)))
(+.f64 1 (/.f64 beta (+.f64 alpha 2)))
(+.f64 1 (+.f64 (/.f64 beta (+.f64 2 alpha)) (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2)))))
(+.f64 1 (+.f64 (/.f64 beta (+.f64 alpha 2)) (neg.f64 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))))
(+.f64 1 (-.f64 (/.f64 beta (+.f64 alpha 2)) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))))
(+.f64 1 (+.f64 (/.f64 beta (+.f64 2 alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3)))))
(+.f64 1 (+.f64 (/.f64 beta (+.f64 alpha 2)) (fma.f64 -1 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))))
(+.f64 1 (+.f64 (-.f64 (/.f64 beta (+.f64 alpha 2)) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))))
2
(+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)))
(+.f64 2 (/.f64 (+.f64 -2 (neg.f64 alpha)) beta))
(+.f64 2 (/.f64 (-.f64 -2 alpha) beta))
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(+.f64 2 (fma.f64 -1 (/.f64 (+.f64 alpha 2) beta) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))))
(+.f64 (+.f64 2 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))) (/.f64 (-.f64 -2 alpha) beta))
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))
(+.f64 2 (fma.f64 -1 (/.f64 (+.f64 alpha 2) beta) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))))
(+.f64 (+.f64 2 (/.f64 (-.f64 -2 alpha) beta)) (-.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))))
2
(+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)))
(+.f64 2 (/.f64 (+.f64 -2 (neg.f64 alpha)) beta))
(+.f64 2 (/.f64 (-.f64 -2 alpha) beta))
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(+.f64 2 (fma.f64 -1 (/.f64 (+.f64 alpha 2) beta) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))))
(+.f64 (+.f64 2 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))) (/.f64 (-.f64 -2 alpha) beta))
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))
(+.f64 2 (fma.f64 -1 (/.f64 (+.f64 alpha 2) beta) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))))
(+.f64 (+.f64 2 (/.f64 (-.f64 -2 alpha) beta)) (-.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(+.f64 1 (/.f64 beta (+.f64 2 beta)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))) (+.f64 1 (/.f64 beta (+.f64 beta 2))))
(fma.f64 -1 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 2 beta) 2)) (+.f64 1 (/.f64 beta (+.f64 2 beta))))
(-.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 2 beta) 2)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))) (+.f64 1 (+.f64 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (+.f64 beta 2)))))
(fma.f64 -1 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 2 beta) 2)) (+.f64 1 (+.f64 (/.f64 beta (+.f64 2 beta)) (/.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 3) (*.f64 alpha alpha))))))
(+.f64 (-.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 2 beta) 2))) (/.f64 (*.f64 (*.f64 alpha alpha) beta) (pow.f64 (+.f64 2 beta) 3)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))) (+.f64 1 (+.f64 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 beta 2) 3)) (+.f64 (/.f64 beta (+.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 4)))))))
(fma.f64 -1 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 2 beta) 2)) (+.f64 1 (+.f64 (/.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 3) (*.f64 alpha alpha))) (+.f64 (/.f64 beta (+.f64 2 beta)) (neg.f64 (/.f64 (*.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 4)))))))
(-.f64 (+.f64 (+.f64 1 (/.f64 (*.f64 (*.f64 alpha alpha) beta) (pow.f64 (+.f64 2 beta) 3))) (-.f64 (/.f64 beta (+.f64 2 beta)) (/.f64 (*.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 4)))) (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 2 beta) 2)))
1
(+.f64 1 (/.f64 beta alpha))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 1 (/.f64 beta alpha)))
(fma.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) (*.f64 alpha alpha)) (+.f64 1 (/.f64 beta alpha)))
(-.f64 (+.f64 1 (/.f64 beta alpha)) (*.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta alpha)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 1 (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))
(fma.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) (*.f64 alpha alpha)) (+.f64 1 (+.f64 (/.f64 beta alpha) (/.f64 beta (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2))))))
(+.f64 (-.f64 (+.f64 1 (/.f64 beta alpha)) (*.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta alpha))) (/.f64 beta (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2))))
1
(+.f64 1 (/.f64 beta alpha))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 1 (/.f64 beta alpha)))
(fma.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) (*.f64 alpha alpha)) (+.f64 1 (/.f64 beta alpha)))
(-.f64 (+.f64 1 (/.f64 beta alpha)) (*.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta alpha)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 1 (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))
(fma.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) (*.f64 alpha alpha)) (+.f64 1 (+.f64 (/.f64 beta alpha) (/.f64 beta (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2))))))
(+.f64 (-.f64 (+.f64 1 (/.f64 beta alpha)) (*.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta alpha))) (/.f64 beta (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2))))
(+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)
(+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2))
(+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2))
(+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2))
(*.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1))
(+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2))
(*.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1) 1)
(+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2))
(*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1))
(*.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))
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(+.f64 1 (/.f64 beta (+.f64 2 beta)))
(exp.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))))
(exp.f64 (log1p.f64 (/.f64 beta (+.f64 2 beta))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))) 1))
(exp.f64 (log1p.f64 (/.f64 beta (+.f64 2 beta))))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))
(+.f64 1 (/.f64 beta (+.f64 2 beta)))
(fma.f64 1 (/.f64 beta (+.f64 beta 2)) 1)
(+.f64 1 (/.f64 beta (+.f64 2 beta)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 1)
(+.f64 1 (/.f64 beta (+.f64 2 beta)))
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 1)
(+.f64 1 (/.f64 beta (+.f64 2 beta)))
(fma.f64 (/.f64 1 (+.f64 beta 2)) beta 1)
(+.f64 1 (/.f64 beta (+.f64 2 beta)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 beta 2) beta))) 1)
(+.f64 1 (/.f64 2 beta))
(*.f64 1 (/.f64 (+.f64 beta 2) beta))
(+.f64 1 (/.f64 2 beta))
(*.f64 (+.f64 beta 2) (/.f64 1 beta))
(+.f64 1 (/.f64 2 beta))
(*.f64 (/.f64 (+.f64 beta 2) beta) 1)
(+.f64 1 (/.f64 2 beta))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 beta 2) 2)) (*.f64 (cbrt.f64 (+.f64 beta 2)) (/.f64 1 beta)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 2 beta) 2)) (*.f64 (/.f64 1 beta) (cbrt.f64 (+.f64 2 beta))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (cbrt.f64 (+.f64 2 beta)) beta))
(*.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) beta)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) beta)) 2))
(+.f64 1 (/.f64 2 beta))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) beta)) 2) (cbrt.f64 (/.f64 (+.f64 beta 2) beta)))
(+.f64 1 (/.f64 2 beta))
(*.f64 (sqrt.f64 (+.f64 beta 2)) (*.f64 (sqrt.f64 (+.f64 beta 2)) (/.f64 1 beta)))
(+.f64 1 (/.f64 2 beta))
(*.f64 (sqrt.f64 (/.f64 (+.f64 beta 2) beta)) (sqrt.f64 (/.f64 (+.f64 beta 2) beta)))
(+.f64 1 (/.f64 2 beta))
(*.f64 (+.f64 (neg.f64 beta) -2) (/.f64 1 (neg.f64 beta)))
(+.f64 1 (/.f64 2 beta))
(*.f64 (/.f64 1 beta) (+.f64 beta 2))
(+.f64 1 (/.f64 2 beta))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 beta beta))) (/.f64 (+.f64 beta 2) (cbrt.f64 beta)))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 beta beta))) (/.f64 (+.f64 2 beta) (cbrt.f64 beta)))
(/.f64 (/.f64 (+.f64 2 beta) (cbrt.f64 beta)) (cbrt.f64 (*.f64 beta beta)))
(*.f64 (/.f64 1 (sqrt.f64 beta)) (/.f64 (+.f64 beta 2) (sqrt.f64 beta)))
(*.f64 (/.f64 1 (sqrt.f64 beta)) (/.f64 (+.f64 2 beta) (sqrt.f64 beta)))
(/.f64 (/.f64 (+.f64 2 beta) (sqrt.f64 beta)) (sqrt.f64 beta))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 beta 2) 2)) 1) (/.f64 (cbrt.f64 (+.f64 beta 2)) beta))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 2 beta) 2)) (*.f64 (/.f64 1 beta) (cbrt.f64 (+.f64 2 beta))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (cbrt.f64 (+.f64 2 beta)) beta))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 beta 2) 2)) (cbrt.f64 (*.f64 beta beta))) (cbrt.f64 (/.f64 (+.f64 beta 2) beta)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 2 beta) beta)) (/.f64 (cbrt.f64 (pow.f64 (+.f64 2 beta) 2)) (cbrt.f64 (*.f64 beta beta))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 2 beta) 2)) (cbrt.f64 (+.f64 1 (/.f64 2 beta)))) (cbrt.f64 (*.f64 beta beta)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 beta 2) 2)) (sqrt.f64 beta)) (/.f64 (cbrt.f64 (+.f64 beta 2)) (sqrt.f64 beta)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 2 beta) 2)) (sqrt.f64 beta)) (/.f64 (cbrt.f64 (+.f64 2 beta)) (sqrt.f64 beta)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta 2)) 1) (/.f64 (sqrt.f64 (+.f64 beta 2)) beta))
(+.f64 1 (/.f64 2 beta))
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta 2)) (cbrt.f64 (*.f64 beta beta))) (/.f64 (sqrt.f64 (+.f64 beta 2)) (cbrt.f64 beta)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 2 beta)) (cbrt.f64 (*.f64 beta beta))) (/.f64 (sqrt.f64 (+.f64 2 beta)) (cbrt.f64 beta)))
(pow.f64 (/.f64 (+.f64 beta 2) beta) 1)
(+.f64 1 (/.f64 2 beta))
(pow.f64 (/.f64 beta (+.f64 beta 2)) -1)
(/.f64 1 (/.f64 beta (+.f64 2 beta)))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) beta)) 3)
(+.f64 1 (/.f64 2 beta))
(pow.f64 (pow.f64 (/.f64 (+.f64 beta 2) beta) 3) 1/3)
(+.f64 1 (/.f64 2 beta))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 beta 2) beta)) 2)
(+.f64 1 (/.f64 2 beta))
(neg.f64 (/.f64 (+.f64 beta 2) (neg.f64 beta)))
(+.f64 1 (/.f64 2 beta))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 beta 2) beta) 2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 2 beta) beta) 2))
(fabs.f64 (+.f64 1 (/.f64 2 beta)))
(log.f64 (exp.f64 (/.f64 (+.f64 beta 2) beta)))
(+.f64 1 (/.f64 2 beta))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 beta 2) beta))))
(+.f64 1 (/.f64 2 beta))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 2) beta) 3))
(+.f64 1 (/.f64 2 beta))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 beta 3)))
(+.f64 1 (/.f64 2 beta))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 beta 2) beta)))
(+.f64 1 (/.f64 2 beta))
(exp.f64 (log.f64 (/.f64 (+.f64 beta 2) beta)))
(+.f64 1 (/.f64 2 beta))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 beta 2) beta)) 1))
(+.f64 1 (/.f64 2 beta))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 beta 2) beta)))
(+.f64 1 (/.f64 2 beta))
(+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))
(+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 2 beta))))
(+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 1)
(+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 2 beta))))
(*.f64 1 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))
(+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 2 beta))))
(*.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 1)
(+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 2 beta))))
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 2)))
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 2 beta))))) (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 2)) (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))))
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 2 beta))))) (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) 2)))
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) (sqrt.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))))
(+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 2 beta))))
(*.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 3) 1) (/.f64 1 (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (+.f64 1 (/.f64 (*.f64 beta -1) (+.f64 alpha (+.f64 beta 2)))))))
(*.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) 2) (+.f64 1 (/.f64 (neg.f64 beta) (+.f64 alpha (+.f64 2 beta)))))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) 3)) (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 1 (/.f64 beta (+.f64 alpha (+.f64 2 beta))))))
(*.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) -1) (/.f64 1 (+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) -1)))
(*.f64 (+.f64 -1 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) 2)) (/.f64 1 (+.f64 -1 (/.f64 beta (+.f64 alpha (+.f64 2 beta))))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) 2)) (+.f64 -1 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (+.f64 1 (/.f64 (*.f64 beta -1) (+.f64 alpha (+.f64 beta 2))))) (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 3) 1)))
(*.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) 2) (+.f64 1 (/.f64 (neg.f64 beta) (+.f64 alpha (+.f64 2 beta)))))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) 3)) (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 1 (/.f64 beta (+.f64 alpha (+.f64 2 beta))))))
(/.f64 1 (/.f64 (+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) -1) (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) -1)))
(*.f64 (+.f64 -1 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) 2)) (/.f64 1 (+.f64 -1 (/.f64 beta (+.f64 alpha (+.f64 2 beta))))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) 2)) (+.f64 -1 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))))
(/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 3) 1) (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (+.f64 1 (/.f64 (*.f64 beta -1) (+.f64 alpha (+.f64 beta 2))))))
(*.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) 2) (+.f64 1 (/.f64 (neg.f64 beta) (+.f64 alpha (+.f64 2 beta)))))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) 3)) (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 1 (/.f64 beta (+.f64 alpha (+.f64 2 beta))))))
(/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 3) 1) (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (-.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))))
(*.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) 2) (+.f64 1 (/.f64 (neg.f64 beta) (+.f64 alpha (+.f64 2 beta)))))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) 3)) (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 1 (/.f64 beta (+.f64 alpha (+.f64 2 beta))))))
(/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) -1) (+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) -1))
(*.f64 (+.f64 -1 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) 2)) (/.f64 1 (+.f64 -1 (/.f64 beta (+.f64 alpha (+.f64 2 beta))))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) 2)) (+.f64 -1 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))))
(/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) -1) (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 1))
(*.f64 (+.f64 -1 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) 2)) (/.f64 1 (+.f64 -1 (/.f64 beta (+.f64 alpha (+.f64 2 beta))))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) 2)) (+.f64 -1 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 3) 1)) (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (+.f64 1 (/.f64 (*.f64 beta -1) (+.f64 alpha (+.f64 beta 2)))))))
(/.f64 (+.f64 (neg.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) 3)) -1) (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) 2) (+.f64 1 (/.f64 (neg.f64 beta) (+.f64 alpha (+.f64 2 beta)))))))
(*.f64 1 (/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) 3)) (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 1 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) -1)) (neg.f64 (+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) -1)))
(/.f64 (+.f64 (neg.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) 2)) 1) (+.f64 (neg.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) 1))
(/.f64 (+.f64 1 (neg.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) 2))) (-.f64 1 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))))
(pow.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 1)
(+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 2 beta))))
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) 3)
(+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 2 beta))))
(pow.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 3) 1/3)
(+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 2 beta))))
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) 2)
(+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 2 beta))))
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 2))
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) 2))
(fabs.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))))
(log.f64 (exp.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))))
(+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 2 beta))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))))
(+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 2 beta))))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 3))
(+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 2 beta))))
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))))
(+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 2 beta))))
(exp.f64 (log1p.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))
(exp.f64 (log1p.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 1))
(exp.f64 (log1p.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))))
(+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 2 beta))))
(fma.f64 beta (/.f64 1 (+.f64 alpha (+.f64 beta 2))) 1)
(fma.f64 beta (/.f64 1 (+.f64 alpha (+.f64 2 beta))) 1)
(fma.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 1)
(+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 2 beta))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 2) (cbrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 1)
(+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 2 beta))))
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 1)
(+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 2 beta))))

eval605.0ms (7.4%)

Compiler

Compiled 32209 to 23134 computations (28.2% saved)

prune183.0ms (2.2%)

Pruning

21 alts after pruning (12 fresh and 9 done)

PrunedKeptTotal
New7732775
Fresh01010
Picked145
Done055
Total77421795
Accurracy
100.0%
Counts
795 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.2%
(/.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 (*.f64 (/.f64 alpha beta) (/.f64 alpha beta)) 1))) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) 2)
29.6%
(/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2)
9.8%
(/.f64 (/.f64 (+.f64 beta beta) alpha) 2)
23.7%
(/.f64 (/.f64 2 alpha) 2)
75.0%
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
28.6%
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 (-.f64 -2 beta) alpha) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2))) 2)
29.0%
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 (-.f64 -2 beta) alpha) (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)))) 2)
72.8%
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) -1) 2)
22.6%
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
8.8%
(/.f64 (-.f64 (*.f64 -2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))) (*.f64 beta (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha)))) 2)
26.5%
(/.f64 (-.f64 2 (/.f64 (+.f64 alpha (+.f64 alpha 2)) beta)) 2)
26.9%
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
52.1%
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
74.0%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
72.8%
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
72.8%
(/.f64 (+.f64 (/.f64 1 (/.f64 (+.f64 beta 2) beta)) 1) 2)
48.6%
(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
29.6%
(/.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) 2)
26.4%
(/.f64 (+.f64 2 (/.f64 (-.f64 -2 alpha) beta)) 2)
29.6%
(/.f64 (*.f64 (+.f64 beta (+.f64 beta 2)) (/.f64 1 alpha)) 2)
34.6%
(/.f64 2 2)
47.2%
(/.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 (*.f64 (/.f64 alpha beta) (/.f64 alpha beta)) 1))) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) 2)
29.6%
(/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2)
9.8%
(/.f64 (/.f64 (+.f64 beta beta) alpha) 2)
23.7%
(/.f64 (/.f64 2 alpha) 2)
75.0%
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
28.6%
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 (-.f64 -2 beta) alpha) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2))) 2)
29.0%
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 (-.f64 -2 beta) alpha) (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)))) 2)
72.8%
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) -1) 2)
22.6%
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
8.8%
(/.f64 (-.f64 (*.f64 -2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))) (*.f64 beta (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha)))) 2)
26.5%
(/.f64 (-.f64 2 (/.f64 (+.f64 alpha (+.f64 alpha 2)) beta)) 2)
26.9%
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
52.1%
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
74.0%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
72.8%
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
72.8%
(/.f64 (+.f64 (/.f64 1 (/.f64 (+.f64 beta 2) beta)) 1) 2)
48.6%
(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
29.6%
(/.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) 2)
26.4%
(/.f64 (+.f64 2 (/.f64 (-.f64 -2 alpha) beta)) 2)
29.6%
(/.f64 (*.f64 (+.f64 beta (+.f64 beta 2)) (/.f64 1 alpha)) 2)
34.6%
(/.f64 2 2)
Compiler

Compiled 1106 to 822 computations (25.7% saved)

localize205.0ms (2.5%)

Local Accuracy

Found 6 expressions with local accuracy:

NewAccuracyProgram
100.0%
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
100.0%
(/.f64 (+.f64 alpha (+.f64 alpha 2)) beta)
100.0%
(+.f64 alpha (+.f64 alpha 2))
100.0%
(/.f64 (-.f64 -2 alpha) beta)
100.0%
(/.f64 alpha (+.f64 alpha 2))
70.6%
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
Compiler

Compiled 159 to 107 computations (32.7% saved)

series9.0ms (0.1%)

Counts
6 → 99
Calls

27 calls:

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

rewrite111.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
816×expm1-udef
812×log1p-udef
474×add-sqr-sqrt
460×pow1
460×*-un-lft-identity
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01998
145798
2694498
Stop Event
node limit
Counts
6 → 212
Calls
Call 1
Inputs
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(/.f64 alpha (+.f64 alpha 2))
(/.f64 (-.f64 -2 alpha) beta)
(+.f64 alpha (+.f64 alpha 2))
(/.f64 (+.f64 alpha (+.f64 alpha 2)) beta)
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
Outputs
(+.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))
(+.f64 1 (*.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) 1))
(+.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) 1)
(*.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1)
(*.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (pow.f64 (cbrt.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 (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))))
(/.f64 1 (/.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))
(/.f64 (-.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))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (neg.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (neg.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) 3)) (+.f64 1 (-.f64 (*.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))))
(/.f64 (-.f64 1 (*.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (-.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))
(pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1)
(pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 3)
(pow.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2)
(sqrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2))
(log.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))))
(cbrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3))
(expm1.f64 (log1p.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(exp.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) 1))
(log1p.f64 (expm1.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(-.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1)
(*.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(*.f64 alpha (/.f64 1 (+.f64 alpha 2)))
(*.f64 (/.f64 alpha (+.f64 alpha 2)) 1)
(*.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2) (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))))
(*.f64 (pow.f64 (cbrt.f64 alpha) 2) (*.f64 (cbrt.f64 alpha) (/.f64 1 (+.f64 alpha 2))))
(*.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))) (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))))
(*.f64 (sqrt.f64 alpha) (*.f64 (sqrt.f64 alpha) (/.f64 1 (+.f64 alpha 2))))
(*.f64 (neg.f64 alpha) (/.f64 1 (-.f64 -2 alpha)))
(*.f64 (/.f64 1 (+.f64 alpha 2)) alpha)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) 1) (/.f64 (cbrt.f64 alpha) (+.f64 alpha 2)))
(*.f64 (/.f64 (sqrt.f64 alpha) 1) (/.f64 (sqrt.f64 alpha) (+.f64 alpha 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (/.f64 alpha (cbrt.f64 (+.f64 alpha 2))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha 2))) (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (+.f64 alpha 2))) (/.f64 (cbrt.f64 alpha) (sqrt.f64 (+.f64 alpha 2))))
(*.f64 (/.f64 (sqrt.f64 alpha) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (/.f64 (sqrt.f64 alpha) (cbrt.f64 (+.f64 alpha 2))))
(*.f64 (/.f64 alpha (+.f64 8 (pow.f64 alpha 3))) (fma.f64 alpha alpha (-.f64 4 (+.f64 alpha alpha))))
(*.f64 (/.f64 alpha (fma.f64 alpha alpha -4)) (+.f64 alpha -2))
(pow.f64 (/.f64 alpha (+.f64 alpha 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 3)
(pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2)
(pow.f64 (/.f64 (+.f64 alpha 2) alpha) -1)
(neg.f64 (/.f64 alpha (-.f64 -2 alpha)))
(sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))
(log.f64 (exp.f64 (/.f64 alpha (+.f64 alpha 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 alpha (+.f64 alpha 2)))))
(cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))
(expm1.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha 2))))
(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))))
(+.f64 (/.f64 -2 beta) (neg.f64 (/.f64 alpha beta)))
(-.f64 (/.f64 -2 beta) (/.f64 alpha beta))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 -2 alpha) beta))) 1)
(*.f64 1 (/.f64 (-.f64 -2 alpha) beta))
(*.f64 (-.f64 -2 alpha) (/.f64 1 beta))
(*.f64 (/.f64 (-.f64 -2 alpha) beta) 1)
(*.f64 (cbrt.f64 (/.f64 (-.f64 -2 alpha) beta)) (cbrt.f64 (pow.f64 (/.f64 (-.f64 -2 alpha) beta) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 -2 alpha) beta) 2)) (cbrt.f64 (/.f64 (-.f64 -2 alpha) beta)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 -2 alpha)) 2) (*.f64 (cbrt.f64 (-.f64 -2 alpha)) (/.f64 1 beta)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 -2 alpha) beta)) (sqrt.f64 (/.f64 (-.f64 -2 alpha) beta)))
(*.f64 (sqrt.f64 (-.f64 -2 alpha)) (*.f64 (sqrt.f64 (-.f64 -2 alpha)) (/.f64 1 beta)))
(*.f64 (neg.f64 (-.f64 -2 alpha)) (/.f64 1 (neg.f64 beta)))
(*.f64 (/.f64 1 beta) (-.f64 -2 alpha))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (-.f64 -2 alpha) (cbrt.f64 beta)))
(*.f64 (/.f64 1 (sqrt.f64 beta)) (/.f64 (-.f64 -2 alpha) (sqrt.f64 beta)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 alpha)) 2) 1) (/.f64 (cbrt.f64 (-.f64 -2 alpha)) beta))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 alpha)) 2) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 (/.f64 (-.f64 -2 alpha) beta)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 alpha)) 2) (sqrt.f64 beta)) (/.f64 (cbrt.f64 (-.f64 -2 alpha)) (sqrt.f64 beta)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 -2 alpha)) 1) (/.f64 (sqrt.f64 (-.f64 -2 alpha)) beta))
(*.f64 (/.f64 (sqrt.f64 (-.f64 -2 alpha)) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (sqrt.f64 (-.f64 -2 alpha)) (cbrt.f64 beta)))
(pow.f64 (/.f64 (-.f64 -2 alpha) beta) 1)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 -2 alpha) beta)) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 -2 alpha) beta) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 -2 alpha) beta)) 2)
(pow.f64 (/.f64 beta (-.f64 -2 alpha)) -1)
(neg.f64 (/.f64 (-.f64 -2 alpha) (neg.f64 beta)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 -2 alpha) beta) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 -2 alpha) beta)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 -2 alpha) beta))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 -2 alpha) beta) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 -2 alpha) 3) (pow.f64 beta 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 -2 alpha) beta)))
(exp.f64 (log.f64 (/.f64 (-.f64 -2 alpha) beta)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 -2 alpha) beta)) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 -2 alpha) beta)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 alpha (+.f64 alpha 2)))) 1)
(-.f64 (/.f64 (*.f64 alpha alpha) (-.f64 alpha (+.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (-.f64 alpha (+.f64 alpha 2))))
(*.f64 1 (+.f64 alpha (+.f64 alpha 2)))
(*.f64 (+.f64 alpha (+.f64 alpha 2)) 1)
(*.f64 (cbrt.f64 (+.f64 alpha (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 alpha 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 alpha 2))) 2) (cbrt.f64 (+.f64 alpha (+.f64 alpha 2))))
(*.f64 (sqrt.f64 (+.f64 alpha (+.f64 alpha 2))) (sqrt.f64 (+.f64 alpha (+.f64 alpha 2))))
(*.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 alpha 3)) (/.f64 1 (fma.f64 alpha alpha (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) alpha)))))
(*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (-.f64 alpha (+.f64 alpha 2))))
(/.f64 1 (/.f64 (fma.f64 alpha alpha (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) alpha))) (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 alpha 3))))
(/.f64 1 (/.f64 (-.f64 alpha (+.f64 alpha 2)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 alpha 3)) (fma.f64 alpha alpha (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) alpha))))
(/.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 alpha 3)) (+.f64 (pow.f64 (+.f64 alpha 2) 2) (-.f64 (*.f64 alpha alpha) (*.f64 alpha (+.f64 alpha 2)))))
(/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2)) (-.f64 alpha (+.f64 alpha 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 alpha 3))) (neg.f64 (fma.f64 alpha alpha (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) alpha)))))
(/.f64 (neg.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2))) (neg.f64 (-.f64 alpha (+.f64 alpha 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 alpha alpha) 3) 8) (+.f64 (*.f64 (+.f64 alpha alpha) (+.f64 alpha alpha)) (-.f64 4 (*.f64 (+.f64 alpha alpha) 2))))
(/.f64 (-.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 alpha alpha)) (-.f64 (+.f64 alpha 2) alpha))
(/.f64 (-.f64 (*.f64 (+.f64 alpha alpha) (+.f64 alpha alpha)) 4) (-.f64 (+.f64 alpha 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)
(sqrt.f64 (pow.f64 (+.f64 alpha (+.f64 alpha 2)) 2))
(log.f64 (exp.f64 (+.f64 alpha (+.f64 alpha 2))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 alpha (+.f64 alpha 2)))))
(cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 alpha 2)) 3))
(expm1.f64 (log1p.f64 (+.f64 alpha (+.f64 alpha 2))))
(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))))
(fma.f64 1 alpha (+.f64 alpha 2))
(fma.f64 1 (+.f64 alpha 2) alpha)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2) (cbrt.f64 (+.f64 alpha 2)) alpha)
(fma.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 alpha) (+.f64 alpha 2))
(fma.f64 (sqrt.f64 (+.f64 alpha 2)) (sqrt.f64 (+.f64 alpha 2)) alpha)
(fma.f64 (sqrt.f64 alpha) (sqrt.f64 alpha) (+.f64 alpha 2))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 alpha (+.f64 alpha 2)) beta))) 1)
(*.f64 1 (/.f64 (+.f64 alpha (+.f64 alpha 2)) beta))
(*.f64 (+.f64 alpha (+.f64 alpha 2)) (/.f64 1 beta))
(*.f64 (/.f64 (+.f64 alpha (+.f64 alpha 2)) beta) 1)
(*.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 alpha 2)) beta)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 alpha 2)) beta)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 alpha 2)) beta)) 2) (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 alpha 2)) beta)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 alpha 2))) 2) (*.f64 (cbrt.f64 (+.f64 alpha (+.f64 alpha 2))) (/.f64 1 beta)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 alpha (+.f64 alpha 2)) beta)) (sqrt.f64 (/.f64 (+.f64 alpha (+.f64 alpha 2)) beta)))
(*.f64 (sqrt.f64 (+.f64 alpha (+.f64 alpha 2))) (*.f64 (sqrt.f64 (+.f64 alpha (+.f64 alpha 2))) (/.f64 1 beta)))
(*.f64 (+.f64 (-.f64 -2 alpha) (neg.f64 alpha)) (/.f64 1 (neg.f64 beta)))
(*.f64 (/.f64 1 beta) (+.f64 alpha (+.f64 alpha 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (+.f64 alpha (+.f64 alpha 2)) (cbrt.f64 beta)))
(*.f64 (/.f64 1 (sqrt.f64 beta)) (/.f64 (+.f64 alpha (+.f64 alpha 2)) (sqrt.f64 beta)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 alpha 2))) 2) 1) (/.f64 (cbrt.f64 (+.f64 alpha (+.f64 alpha 2))) beta))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 alpha 2))) 2) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 alpha 2)) beta)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 alpha 2))) 2) (sqrt.f64 beta)) (/.f64 (cbrt.f64 (+.f64 alpha (+.f64 alpha 2))) (sqrt.f64 beta)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 alpha 2))) 1) (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 alpha 2))) beta))
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 alpha 2))) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 alpha 2))) (cbrt.f64 beta)))
(pow.f64 (/.f64 (+.f64 alpha (+.f64 alpha 2)) beta) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 alpha 2)) beta)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 alpha 2)) beta) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 alpha (+.f64 alpha 2)) beta)) 2)
(pow.f64 (/.f64 beta (+.f64 alpha (+.f64 alpha 2))) -1)
(neg.f64 (/.f64 (+.f64 alpha (+.f64 alpha 2)) (neg.f64 beta)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 alpha 2)) beta) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 alpha (+.f64 alpha 2)) beta)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 alpha (+.f64 alpha 2)) beta))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 alpha 2)) beta) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 alpha 2)) 3) (pow.f64 beta 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 alpha (+.f64 alpha 2)) beta)))
(exp.f64 (log.f64 (/.f64 (+.f64 alpha (+.f64 alpha 2)) beta)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 alpha (+.f64 alpha 2)) beta)) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 alpha (+.f64 alpha 2)) beta)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 (/.f64 beta alpha) 2) 4) (/.f64 (-.f64 (*.f64 2 beta) 2) alpha)) (/.f64 (pow.f64 (/.f64 2 alpha) 2) (/.f64 (-.f64 (*.f64 2 beta) 2) alpha)))
(*.f64 1 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)))
(*.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))
(*.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) 1)
(*.f64 (cbrt.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) (pow.f64 (cbrt.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) 2) (cbrt.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))))
(*.f64 (sqrt.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) (sqrt.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))))
(*.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (*.f64 (pow.f64 (/.f64 beta alpha) 3) 8)) (/.f64 1 (+.f64 (*.f64 (pow.f64 (/.f64 beta alpha) 2) 4) (*.f64 (/.f64 2 alpha) (-.f64 (/.f64 2 alpha) (*.f64 2 (/.f64 beta alpha)))))))
(*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 beta alpha) 2) 4) (pow.f64 (/.f64 2 alpha) 2)) (/.f64 1 (/.f64 (-.f64 (*.f64 2 beta) 2) alpha)))
(*.f64 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)) 2)
(/.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 beta alpha) 2) 4) (*.f64 (/.f64 2 alpha) (-.f64 (/.f64 2 alpha) (*.f64 2 (/.f64 beta alpha))))) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (*.f64 (pow.f64 (/.f64 beta alpha) 3) 8))))
(/.f64 1 (/.f64 (/.f64 (-.f64 (*.f64 2 beta) 2) alpha) (-.f64 (*.f64 (pow.f64 (/.f64 beta alpha) 2) 4) (pow.f64 (/.f64 2 alpha) 2))))
(/.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (*.f64 (pow.f64 (/.f64 beta alpha) 3) 8)) (+.f64 (*.f64 (pow.f64 (/.f64 beta alpha) 2) 4) (*.f64 (/.f64 2 alpha) (-.f64 (/.f64 2 alpha) (*.f64 2 (/.f64 beta alpha))))))
(/.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (*.f64 (pow.f64 (/.f64 beta alpha) 3) 8)) (+.f64 (pow.f64 (/.f64 2 alpha) 2) (-.f64 (*.f64 (pow.f64 (/.f64 beta alpha) 2) 4) (*.f64 2 (*.f64 (/.f64 beta alpha) (/.f64 2 alpha))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 beta alpha) 2) 4) (pow.f64 (/.f64 2 alpha) 2)) (/.f64 (-.f64 (*.f64 2 beta) 2) alpha))
(/.f64 (+.f64 (*.f64 (*.f64 2 beta) alpha) (+.f64 alpha alpha)) (*.f64 alpha alpha))
(/.f64 (+.f64 (+.f64 alpha alpha) (*.f64 alpha (*.f64 2 beta))) (*.f64 alpha alpha))
(/.f64 (neg.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (*.f64 (pow.f64 (/.f64 beta alpha) 3) 8))) (neg.f64 (+.f64 (*.f64 (pow.f64 (/.f64 beta alpha) 2) 4) (*.f64 (/.f64 2 alpha) (-.f64 (/.f64 2 alpha) (*.f64 2 (/.f64 beta alpha)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (/.f64 beta alpha) 2) 4) (pow.f64 (/.f64 2 alpha) 2))) (neg.f64 (/.f64 (-.f64 (*.f64 2 beta) 2) alpha)))
(/.f64 (-.f64 (pow.f64 (/.f64 2 alpha) 2) (*.f64 (pow.f64 (/.f64 beta alpha) 2) 4)) (-.f64 (/.f64 2 alpha) (*.f64 2 (/.f64 beta alpha))))
(pow.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) 1)
(pow.f64 (cbrt.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) 3)
(pow.f64 (pow.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) 2)
(sqrt.f64 (pow.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) 2))
(log.f64 (exp.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)))))
(cbrt.f64 (pow.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) 3))
(expm1.f64 (log1p.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))))
(exp.f64 (log.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))))
(exp.f64 (*.f64 (log.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) 1))
(log1p.f64 (expm1.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))))
(fma.f64 1 (*.f64 2 (/.f64 beta alpha)) (/.f64 2 alpha))
(fma.f64 1 (/.f64 2 alpha) (*.f64 2 (/.f64 beta alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(fma.f64 2 (/.f64 1 alpha) (*.f64 2 (/.f64 beta alpha)))
(fma.f64 (/.f64 beta alpha) 2 (/.f64 2 alpha))
(fma.f64 (/.f64 1 alpha) 2 (*.f64 2 (/.f64 beta alpha)))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 2 alpha) 2)) (cbrt.f64 (/.f64 2 alpha)) (*.f64 2 (/.f64 beta alpha)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 beta alpha) 2) 4)) (cbrt.f64 (*.f64 2 (/.f64 beta alpha))) (/.f64 2 alpha))
(fma.f64 (sqrt.f64 (/.f64 2 alpha)) (sqrt.f64 (/.f64 2 alpha)) (*.f64 2 (/.f64 beta alpha)))
(fma.f64 (sqrt.f64 (*.f64 2 (/.f64 beta alpha))) (sqrt.f64 (*.f64 2 (/.f64 beta alpha))) (/.f64 2 alpha))

simplify111.0ms (1.4%)

Algorithm
egg-herbie
Rules
864×log-prod
636×fma-neg
594×exp-prod
516×cube-prod
474×div-sub
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05478149
113646815
250966803
Stop Event
node limit
Counts
311 → 330
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1/2 alpha))
(+.f64 1 (+.f64 (*.f64 -1/2 alpha) (*.f64 1/4 (pow.f64 alpha 2))))
(+.f64 (*.f64 -1/8 (pow.f64 alpha 3)) (+.f64 1 (+.f64 (*.f64 -1/2 alpha) (*.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 16 (/.f64 1 (pow.f64 alpha 4))) (*.f64 4 (/.f64 1 (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 16 (/.f64 1 (pow.f64 alpha 4))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(*.f64 1/2 alpha)
(+.f64 (*.f64 1/2 alpha) (*.f64 -1/4 (pow.f64 alpha 2)))
(+.f64 (*.f64 1/2 alpha) (+.f64 (*.f64 1/8 (pow.f64 alpha 3)) (*.f64 -1/4 (pow.f64 alpha 2))))
(+.f64 (*.f64 1/2 alpha) (+.f64 (*.f64 -1/16 (pow.f64 alpha 4)) (+.f64 (*.f64 1/8 (pow.f64 alpha 3)) (*.f64 -1/4 (pow.f64 alpha 2)))))
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 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 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 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))))
(/.f64 -2 beta)
(-.f64 (*.f64 -1 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta)))
(-.f64 (*.f64 -1 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta)))
(-.f64 (*.f64 -1 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta)))
(*.f64 -1 (/.f64 alpha beta))
(-.f64 (*.f64 -1 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta)))
(-.f64 (*.f64 -1 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta)))
(-.f64 (*.f64 -1 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta)))
(*.f64 -1 (/.f64 alpha beta))
(-.f64 (*.f64 -1 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta)))
(-.f64 (*.f64 -1 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta)))
(-.f64 (*.f64 -1 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta)))
(*.f64 -1 (/.f64 (+.f64 2 alpha) beta))
(*.f64 -1 (/.f64 (+.f64 2 alpha) beta))
(*.f64 -1 (/.f64 (+.f64 2 alpha) beta))
(*.f64 -1 (/.f64 (+.f64 2 alpha) beta))
(*.f64 -1 (/.f64 (+.f64 2 alpha) beta))
(*.f64 -1 (/.f64 (+.f64 2 alpha) beta))
(*.f64 -1 (/.f64 (+.f64 2 alpha) beta))
(*.f64 -1 (/.f64 (+.f64 2 alpha) beta))
(*.f64 -1 (/.f64 (+.f64 2 alpha) beta))
(*.f64 -1 (/.f64 (+.f64 2 alpha) beta))
(*.f64 -1 (/.f64 (+.f64 2 alpha) beta))
(*.f64 -1 (/.f64 (+.f64 2 alpha) beta))
2
(+.f64 2 (*.f64 2 alpha))
(+.f64 2 (*.f64 2 alpha))
(+.f64 2 (*.f64 2 alpha))
(*.f64 2 alpha)
(+.f64 2 (*.f64 2 alpha))
(+.f64 2 (*.f64 2 alpha))
(+.f64 2 (*.f64 2 alpha))
(*.f64 2 alpha)
(+.f64 2 (*.f64 2 alpha))
(+.f64 2 (*.f64 2 alpha))
(+.f64 2 (*.f64 2 alpha))
(/.f64 2 beta)
(+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta)))
(+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta)))
(+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta)))
(*.f64 2 (/.f64 alpha beta))
(+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 2 (/.f64 alpha beta)))
(+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 2 (/.f64 alpha beta)))
(+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 2 (/.f64 alpha beta)))
(*.f64 2 (/.f64 alpha beta))
(+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 2 (/.f64 alpha beta)))
(+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 2 (/.f64 alpha beta)))
(+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 2 (/.f64 alpha beta)))
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 2 alpha)
(*.f64 2 (/.f64 beta alpha))
(*.f64 2 (/.f64 beta alpha))
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(*.f64 -1 (/.f64 (-.f64 (*.f64 -2 beta) 2) alpha))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -2 beta) 2) alpha))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -2 beta) 2) alpha))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -2 beta) 2) alpha))
(+.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))
(+.f64 1 (*.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) 1))
(+.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) 1)
(*.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1)
(*.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (pow.f64 (cbrt.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 (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))))
(/.f64 1 (/.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))
(/.f64 (-.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))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (neg.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (neg.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) 3)) (+.f64 1 (-.f64 (*.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))))
(/.f64 (-.f64 1 (*.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (-.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))
(pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1)
(pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 3)
(pow.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2)
(sqrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2))
(log.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))))
(cbrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3))
(expm1.f64 (log1p.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(exp.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) 1))
(log1p.f64 (expm1.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(-.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1)
(*.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(*.f64 alpha (/.f64 1 (+.f64 alpha 2)))
(*.f64 (/.f64 alpha (+.f64 alpha 2)) 1)
(*.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2) (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))))
(*.f64 (pow.f64 (cbrt.f64 alpha) 2) (*.f64 (cbrt.f64 alpha) (/.f64 1 (+.f64 alpha 2))))
(*.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))) (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))))
(*.f64 (sqrt.f64 alpha) (*.f64 (sqrt.f64 alpha) (/.f64 1 (+.f64 alpha 2))))
(*.f64 (neg.f64 alpha) (/.f64 1 (-.f64 -2 alpha)))
(*.f64 (/.f64 1 (+.f64 alpha 2)) alpha)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) 1) (/.f64 (cbrt.f64 alpha) (+.f64 alpha 2)))
(*.f64 (/.f64 (sqrt.f64 alpha) 1) (/.f64 (sqrt.f64 alpha) (+.f64 alpha 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (/.f64 alpha (cbrt.f64 (+.f64 alpha 2))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha 2))) (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (+.f64 alpha 2))) (/.f64 (cbrt.f64 alpha) (sqrt.f64 (+.f64 alpha 2))))
(*.f64 (/.f64 (sqrt.f64 alpha) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (/.f64 (sqrt.f64 alpha) (cbrt.f64 (+.f64 alpha 2))))
(*.f64 (/.f64 alpha (+.f64 8 (pow.f64 alpha 3))) (fma.f64 alpha alpha (-.f64 4 (+.f64 alpha alpha))))
(*.f64 (/.f64 alpha (fma.f64 alpha alpha -4)) (+.f64 alpha -2))
(pow.f64 (/.f64 alpha (+.f64 alpha 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 3)
(pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2)
(pow.f64 (/.f64 (+.f64 alpha 2) alpha) -1)
(neg.f64 (/.f64 alpha (-.f64 -2 alpha)))
(sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))
(log.f64 (exp.f64 (/.f64 alpha (+.f64 alpha 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 alpha (+.f64 alpha 2)))))
(cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))
(expm1.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha 2))))
(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))))
(+.f64 (/.f64 -2 beta) (neg.f64 (/.f64 alpha beta)))
(-.f64 (/.f64 -2 beta) (/.f64 alpha beta))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 -2 alpha) beta))) 1)
(*.f64 1 (/.f64 (-.f64 -2 alpha) beta))
(*.f64 (-.f64 -2 alpha) (/.f64 1 beta))
(*.f64 (/.f64 (-.f64 -2 alpha) beta) 1)
(*.f64 (cbrt.f64 (/.f64 (-.f64 -2 alpha) beta)) (cbrt.f64 (pow.f64 (/.f64 (-.f64 -2 alpha) beta) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 -2 alpha) beta) 2)) (cbrt.f64 (/.f64 (-.f64 -2 alpha) beta)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 -2 alpha)) 2) (*.f64 (cbrt.f64 (-.f64 -2 alpha)) (/.f64 1 beta)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 -2 alpha) beta)) (sqrt.f64 (/.f64 (-.f64 -2 alpha) beta)))
(*.f64 (sqrt.f64 (-.f64 -2 alpha)) (*.f64 (sqrt.f64 (-.f64 -2 alpha)) (/.f64 1 beta)))
(*.f64 (neg.f64 (-.f64 -2 alpha)) (/.f64 1 (neg.f64 beta)))
(*.f64 (/.f64 1 beta) (-.f64 -2 alpha))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (-.f64 -2 alpha) (cbrt.f64 beta)))
(*.f64 (/.f64 1 (sqrt.f64 beta)) (/.f64 (-.f64 -2 alpha) (sqrt.f64 beta)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 alpha)) 2) 1) (/.f64 (cbrt.f64 (-.f64 -2 alpha)) beta))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 alpha)) 2) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 (/.f64 (-.f64 -2 alpha) beta)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 alpha)) 2) (sqrt.f64 beta)) (/.f64 (cbrt.f64 (-.f64 -2 alpha)) (sqrt.f64 beta)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 -2 alpha)) 1) (/.f64 (sqrt.f64 (-.f64 -2 alpha)) beta))
(*.f64 (/.f64 (sqrt.f64 (-.f64 -2 alpha)) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (sqrt.f64 (-.f64 -2 alpha)) (cbrt.f64 beta)))
(pow.f64 (/.f64 (-.f64 -2 alpha) beta) 1)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 -2 alpha) beta)) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 -2 alpha) beta) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 -2 alpha) beta)) 2)
(pow.f64 (/.f64 beta (-.f64 -2 alpha)) -1)
(neg.f64 (/.f64 (-.f64 -2 alpha) (neg.f64 beta)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 -2 alpha) beta) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 -2 alpha) beta)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 -2 alpha) beta))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 -2 alpha) beta) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 -2 alpha) 3) (pow.f64 beta 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 -2 alpha) beta)))
(exp.f64 (log.f64 (/.f64 (-.f64 -2 alpha) beta)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 -2 alpha) beta)) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 -2 alpha) beta)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 alpha (+.f64 alpha 2)))) 1)
(-.f64 (/.f64 (*.f64 alpha alpha) (-.f64 alpha (+.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (-.f64 alpha (+.f64 alpha 2))))
(*.f64 1 (+.f64 alpha (+.f64 alpha 2)))
(*.f64 (+.f64 alpha (+.f64 alpha 2)) 1)
(*.f64 (cbrt.f64 (+.f64 alpha (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 alpha 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 alpha 2))) 2) (cbrt.f64 (+.f64 alpha (+.f64 alpha 2))))
(*.f64 (sqrt.f64 (+.f64 alpha (+.f64 alpha 2))) (sqrt.f64 (+.f64 alpha (+.f64 alpha 2))))
(*.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 alpha 3)) (/.f64 1 (fma.f64 alpha alpha (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) alpha)))))
(*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (-.f64 alpha (+.f64 alpha 2))))
(/.f64 1 (/.f64 (fma.f64 alpha alpha (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) alpha))) (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 alpha 3))))
(/.f64 1 (/.f64 (-.f64 alpha (+.f64 alpha 2)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 alpha 3)) (fma.f64 alpha alpha (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) alpha))))
(/.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 alpha 3)) (+.f64 (pow.f64 (+.f64 alpha 2) 2) (-.f64 (*.f64 alpha alpha) (*.f64 alpha (+.f64 alpha 2)))))
(/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2)) (-.f64 alpha (+.f64 alpha 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 alpha 3))) (neg.f64 (fma.f64 alpha alpha (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) alpha)))))
(/.f64 (neg.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2))) (neg.f64 (-.f64 alpha (+.f64 alpha 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 alpha alpha) 3) 8) (+.f64 (*.f64 (+.f64 alpha alpha) (+.f64 alpha alpha)) (-.f64 4 (*.f64 (+.f64 alpha alpha) 2))))
(/.f64 (-.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 alpha alpha)) (-.f64 (+.f64 alpha 2) alpha))
(/.f64 (-.f64 (*.f64 (+.f64 alpha alpha) (+.f64 alpha alpha)) 4) (-.f64 (+.f64 alpha 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)
(sqrt.f64 (pow.f64 (+.f64 alpha (+.f64 alpha 2)) 2))
(log.f64 (exp.f64 (+.f64 alpha (+.f64 alpha 2))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 alpha (+.f64 alpha 2)))))
(cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 alpha 2)) 3))
(expm1.f64 (log1p.f64 (+.f64 alpha (+.f64 alpha 2))))
(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))))
(fma.f64 1 alpha (+.f64 alpha 2))
(fma.f64 1 (+.f64 alpha 2) alpha)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2) (cbrt.f64 (+.f64 alpha 2)) alpha)
(fma.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 alpha) (+.f64 alpha 2))
(fma.f64 (sqrt.f64 (+.f64 alpha 2)) (sqrt.f64 (+.f64 alpha 2)) alpha)
(fma.f64 (sqrt.f64 alpha) (sqrt.f64 alpha) (+.f64 alpha 2))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 alpha (+.f64 alpha 2)) beta))) 1)
(*.f64 1 (/.f64 (+.f64 alpha (+.f64 alpha 2)) beta))
(*.f64 (+.f64 alpha (+.f64 alpha 2)) (/.f64 1 beta))
(*.f64 (/.f64 (+.f64 alpha (+.f64 alpha 2)) beta) 1)
(*.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 alpha 2)) beta)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 alpha 2)) beta)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 alpha 2)) beta)) 2) (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 alpha 2)) beta)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 alpha 2))) 2) (*.f64 (cbrt.f64 (+.f64 alpha (+.f64 alpha 2))) (/.f64 1 beta)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 alpha (+.f64 alpha 2)) beta)) (sqrt.f64 (/.f64 (+.f64 alpha (+.f64 alpha 2)) beta)))
(*.f64 (sqrt.f64 (+.f64 alpha (+.f64 alpha 2))) (*.f64 (sqrt.f64 (+.f64 alpha (+.f64 alpha 2))) (/.f64 1 beta)))
(*.f64 (+.f64 (-.f64 -2 alpha) (neg.f64 alpha)) (/.f64 1 (neg.f64 beta)))
(*.f64 (/.f64 1 beta) (+.f64 alpha (+.f64 alpha 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (+.f64 alpha (+.f64 alpha 2)) (cbrt.f64 beta)))
(*.f64 (/.f64 1 (sqrt.f64 beta)) (/.f64 (+.f64 alpha (+.f64 alpha 2)) (sqrt.f64 beta)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 alpha 2))) 2) 1) (/.f64 (cbrt.f64 (+.f64 alpha (+.f64 alpha 2))) beta))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 alpha 2))) 2) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 alpha 2)) beta)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 alpha 2))) 2) (sqrt.f64 beta)) (/.f64 (cbrt.f64 (+.f64 alpha (+.f64 alpha 2))) (sqrt.f64 beta)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 alpha 2))) 1) (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 alpha 2))) beta))
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 alpha 2))) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 alpha 2))) (cbrt.f64 beta)))
(pow.f64 (/.f64 (+.f64 alpha (+.f64 alpha 2)) beta) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 alpha 2)) beta)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 alpha 2)) beta) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 alpha (+.f64 alpha 2)) beta)) 2)
(pow.f64 (/.f64 beta (+.f64 alpha (+.f64 alpha 2))) -1)
(neg.f64 (/.f64 (+.f64 alpha (+.f64 alpha 2)) (neg.f64 beta)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 alpha 2)) beta) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 alpha (+.f64 alpha 2)) beta)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 alpha (+.f64 alpha 2)) beta))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 alpha 2)) beta) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 alpha 2)) 3) (pow.f64 beta 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 alpha (+.f64 alpha 2)) beta)))
(exp.f64 (log.f64 (/.f64 (+.f64 alpha (+.f64 alpha 2)) beta)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 alpha (+.f64 alpha 2)) beta)) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 alpha (+.f64 alpha 2)) beta)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 (/.f64 beta alpha) 2) 4) (/.f64 (-.f64 (*.f64 2 beta) 2) alpha)) (/.f64 (pow.f64 (/.f64 2 alpha) 2) (/.f64 (-.f64 (*.f64 2 beta) 2) alpha)))
(*.f64 1 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)))
(*.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))
(*.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) 1)
(*.f64 (cbrt.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) (pow.f64 (cbrt.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) 2) (cbrt.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))))
(*.f64 (sqrt.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) (sqrt.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))))
(*.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (*.f64 (pow.f64 (/.f64 beta alpha) 3) 8)) (/.f64 1 (+.f64 (*.f64 (pow.f64 (/.f64 beta alpha) 2) 4) (*.f64 (/.f64 2 alpha) (-.f64 (/.f64 2 alpha) (*.f64 2 (/.f64 beta alpha)))))))
(*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 beta alpha) 2) 4) (pow.f64 (/.f64 2 alpha) 2)) (/.f64 1 (/.f64 (-.f64 (*.f64 2 beta) 2) alpha)))
(*.f64 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)) 2)
(/.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 beta alpha) 2) 4) (*.f64 (/.f64 2 alpha) (-.f64 (/.f64 2 alpha) (*.f64 2 (/.f64 beta alpha))))) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (*.f64 (pow.f64 (/.f64 beta alpha) 3) 8))))
(/.f64 1 (/.f64 (/.f64 (-.f64 (*.f64 2 beta) 2) alpha) (-.f64 (*.f64 (pow.f64 (/.f64 beta alpha) 2) 4) (pow.f64 (/.f64 2 alpha) 2))))
(/.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (*.f64 (pow.f64 (/.f64 beta alpha) 3) 8)) (+.f64 (*.f64 (pow.f64 (/.f64 beta alpha) 2) 4) (*.f64 (/.f64 2 alpha) (-.f64 (/.f64 2 alpha) (*.f64 2 (/.f64 beta alpha))))))
(/.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (*.f64 (pow.f64 (/.f64 beta alpha) 3) 8)) (+.f64 (pow.f64 (/.f64 2 alpha) 2) (-.f64 (*.f64 (pow.f64 (/.f64 beta alpha) 2) 4) (*.f64 2 (*.f64 (/.f64 beta alpha) (/.f64 2 alpha))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 beta alpha) 2) 4) (pow.f64 (/.f64 2 alpha) 2)) (/.f64 (-.f64 (*.f64 2 beta) 2) alpha))
(/.f64 (+.f64 (*.f64 (*.f64 2 beta) alpha) (+.f64 alpha alpha)) (*.f64 alpha alpha))
(/.f64 (+.f64 (+.f64 alpha alpha) (*.f64 alpha (*.f64 2 beta))) (*.f64 alpha alpha))
(/.f64 (neg.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (*.f64 (pow.f64 (/.f64 beta alpha) 3) 8))) (neg.f64 (+.f64 (*.f64 (pow.f64 (/.f64 beta alpha) 2) 4) (*.f64 (/.f64 2 alpha) (-.f64 (/.f64 2 alpha) (*.f64 2 (/.f64 beta alpha)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (/.f64 beta alpha) 2) 4) (pow.f64 (/.f64 2 alpha) 2))) (neg.f64 (/.f64 (-.f64 (*.f64 2 beta) 2) alpha)))
(/.f64 (-.f64 (pow.f64 (/.f64 2 alpha) 2) (*.f64 (pow.f64 (/.f64 beta alpha) 2) 4)) (-.f64 (/.f64 2 alpha) (*.f64 2 (/.f64 beta alpha))))
(pow.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) 1)
(pow.f64 (cbrt.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) 3)
(pow.f64 (pow.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) 2)
(sqrt.f64 (pow.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) 2))
(log.f64 (exp.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)))))
(cbrt.f64 (pow.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) 3))
(expm1.f64 (log1p.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))))
(exp.f64 (log.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))))
(exp.f64 (*.f64 (log.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) 1))
(log1p.f64 (expm1.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))))
(fma.f64 1 (*.f64 2 (/.f64 beta alpha)) (/.f64 2 alpha))
(fma.f64 1 (/.f64 2 alpha) (*.f64 2 (/.f64 beta alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(fma.f64 2 (/.f64 1 alpha) (*.f64 2 (/.f64 beta alpha)))
(fma.f64 (/.f64 beta alpha) 2 (/.f64 2 alpha))
(fma.f64 (/.f64 1 alpha) 2 (*.f64 2 (/.f64 beta alpha)))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 2 alpha) 2)) (cbrt.f64 (/.f64 2 alpha)) (*.f64 2 (/.f64 beta alpha)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 beta alpha) 2) 4)) (cbrt.f64 (*.f64 2 (/.f64 beta alpha))) (/.f64 2 alpha))
(fma.f64 (sqrt.f64 (/.f64 2 alpha)) (sqrt.f64 (/.f64 2 alpha)) (*.f64 2 (/.f64 beta alpha)))
(fma.f64 (sqrt.f64 (*.f64 2 (/.f64 beta alpha))) (sqrt.f64 (*.f64 2 (/.f64 beta alpha))) (/.f64 2 alpha))
Outputs
1
(+.f64 1 (*.f64 -1/2 alpha))
(fma.f64 -1/2 alpha 1)
(+.f64 1 (+.f64 (*.f64 -1/2 alpha) (*.f64 1/4 (pow.f64 alpha 2))))
(+.f64 1 (fma.f64 -1/2 alpha (*.f64 1/4 (*.f64 alpha alpha))))
(+.f64 1 (fma.f64 -1/2 alpha (*.f64 (*.f64 1/4 alpha) alpha)))
(+.f64 (*.f64 -1/8 (pow.f64 alpha 3)) (+.f64 1 (+.f64 (*.f64 -1/2 alpha) (*.f64 1/4 (pow.f64 alpha 2)))))
(fma.f64 -1/8 (pow.f64 alpha 3) (+.f64 1 (fma.f64 -1/2 alpha (*.f64 1/4 (*.f64 alpha alpha)))))
(+.f64 (fma.f64 -1/2 alpha (*.f64 (*.f64 1/4 alpha) alpha)) (fma.f64 -1/8 (pow.f64 alpha 3) 1))
(/.f64 2 alpha)
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha)))
(-.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 (*.f64 alpha alpha))))
(+.f64 (/.f64 2 alpha) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 -4 (*.f64 alpha alpha))))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 alpha 4))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4)))))
(/.f64 2 alpha)
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha)))
(-.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 (*.f64 alpha alpha))))
(+.f64 (/.f64 2 alpha) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 -4 (*.f64 alpha alpha))))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 alpha 4))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4)))))
(*.f64 1/2 alpha)
(*.f64 alpha 1/2)
(+.f64 (*.f64 1/2 alpha) (*.f64 -1/4 (pow.f64 alpha 2)))
(fma.f64 1/2 alpha (*.f64 -1/4 (*.f64 alpha alpha)))
(fma.f64 alpha 1/2 (*.f64 alpha (*.f64 alpha -1/4)))
(+.f64 (*.f64 1/2 alpha) (+.f64 (*.f64 1/8 (pow.f64 alpha 3)) (*.f64 -1/4 (pow.f64 alpha 2))))
(fma.f64 1/2 alpha (fma.f64 1/8 (pow.f64 alpha 3) (*.f64 -1/4 (*.f64 alpha alpha))))
(fma.f64 alpha 1/2 (fma.f64 (pow.f64 alpha 3) 1/8 (*.f64 alpha (*.f64 alpha -1/4))))
(+.f64 (*.f64 1/2 alpha) (+.f64 (*.f64 -1/16 (pow.f64 alpha 4)) (+.f64 (*.f64 1/8 (pow.f64 alpha 3)) (*.f64 -1/4 (pow.f64 alpha 2)))))
(fma.f64 1/2 alpha (fma.f64 -1/16 (pow.f64 alpha 4) (fma.f64 1/8 (pow.f64 alpha 3) (*.f64 -1/4 (*.f64 alpha alpha)))))
(fma.f64 alpha 1/2 (fma.f64 (pow.f64 alpha 4) -1/16 (fma.f64 (pow.f64 alpha 3) 1/8 (*.f64 alpha (*.f64 alpha -1/4)))))
1
(-.f64 1 (*.f64 2 (/.f64 1 alpha)))
(-.f64 1 (/.f64 2 alpha))
(+.f64 1 (/.f64 -2 alpha))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 2 (/.f64 1 alpha)))
(+.f64 1 (-.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 2 alpha)))
(+.f64 1 (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 -2 alpha)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))))
(-.f64 (+.f64 1 (/.f64 4 (*.f64 alpha alpha))) (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3))))
(+.f64 1 (+.f64 (/.f64 4 (*.f64 alpha alpha)) (+.f64 (/.f64 -2 alpha) (/.f64 -8 (pow.f64 alpha 3)))))
1
(-.f64 1 (*.f64 2 (/.f64 1 alpha)))
(-.f64 1 (/.f64 2 alpha))
(+.f64 1 (/.f64 -2 alpha))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 2 (/.f64 1 alpha)))
(+.f64 1 (-.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 2 alpha)))
(+.f64 1 (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 -2 alpha)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))))
(-.f64 (+.f64 1 (/.f64 4 (*.f64 alpha alpha))) (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3))))
(+.f64 1 (+.f64 (/.f64 4 (*.f64 alpha alpha)) (+.f64 (/.f64 -2 alpha) (/.f64 -8 (pow.f64 alpha 3)))))
(/.f64 -2 beta)
(-.f64 (*.f64 -1 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta)))
(-.f64 (/.f64 (neg.f64 alpha) beta) (/.f64 2 beta))
(/.f64 (-.f64 -2 alpha) beta)
(-.f64 (*.f64 -1 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta)))
(-.f64 (/.f64 (neg.f64 alpha) beta) (/.f64 2 beta))
(/.f64 (-.f64 -2 alpha) beta)
(-.f64 (*.f64 -1 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta)))
(-.f64 (/.f64 (neg.f64 alpha) beta) (/.f64 2 beta))
(/.f64 (-.f64 -2 alpha) beta)
(*.f64 -1 (/.f64 alpha beta))
(/.f64 (neg.f64 alpha) beta)
(-.f64 (*.f64 -1 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta)))
(-.f64 (/.f64 (neg.f64 alpha) beta) (/.f64 2 beta))
(/.f64 (-.f64 -2 alpha) beta)
(-.f64 (*.f64 -1 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta)))
(-.f64 (/.f64 (neg.f64 alpha) beta) (/.f64 2 beta))
(/.f64 (-.f64 -2 alpha) beta)
(-.f64 (*.f64 -1 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta)))
(-.f64 (/.f64 (neg.f64 alpha) beta) (/.f64 2 beta))
(/.f64 (-.f64 -2 alpha) beta)
(*.f64 -1 (/.f64 alpha beta))
(/.f64 (neg.f64 alpha) beta)
(-.f64 (*.f64 -1 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta)))
(-.f64 (/.f64 (neg.f64 alpha) beta) (/.f64 2 beta))
(/.f64 (-.f64 -2 alpha) beta)
(-.f64 (*.f64 -1 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta)))
(-.f64 (/.f64 (neg.f64 alpha) beta) (/.f64 2 beta))
(/.f64 (-.f64 -2 alpha) beta)
(-.f64 (*.f64 -1 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta)))
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(neg.f64 (/.f64 (+.f64 alpha (+.f64 alpha 2)) (neg.f64 beta)))
(*.f64 (/.f64 1 (neg.f64 beta)) (-.f64 (-.f64 -2 alpha) alpha))
(/.f64 (+.f64 -2 (*.f64 alpha -2)) (neg.f64 beta))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 alpha 2)) beta) 2))
(/.f64 (+.f64 alpha (+.f64 alpha 2)) beta)
(/.f64 (fma.f64 alpha 2 2) beta)
(log.f64 (exp.f64 (/.f64 (+.f64 alpha (+.f64 alpha 2)) beta)))
(/.f64 (+.f64 alpha (+.f64 alpha 2)) beta)
(/.f64 (fma.f64 alpha 2 2) beta)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 alpha (+.f64 alpha 2)) beta))))
(/.f64 (+.f64 alpha (+.f64 alpha 2)) beta)
(/.f64 (fma.f64 alpha 2 2) beta)
(cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 alpha 2)) beta) 3))
(/.f64 (+.f64 alpha (+.f64 alpha 2)) beta)
(/.f64 (fma.f64 alpha 2 2) beta)
(cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 alpha 2)) 3) (pow.f64 beta 3)))
(/.f64 (+.f64 alpha (+.f64 alpha 2)) beta)
(/.f64 (fma.f64 alpha 2 2) beta)
(expm1.f64 (log1p.f64 (/.f64 (+.f64 alpha (+.f64 alpha 2)) beta)))
(/.f64 (+.f64 alpha (+.f64 alpha 2)) beta)
(/.f64 (fma.f64 alpha 2 2) beta)
(exp.f64 (log.f64 (/.f64 (+.f64 alpha (+.f64 alpha 2)) beta)))
(/.f64 (+.f64 alpha (+.f64 alpha 2)) beta)
(/.f64 (fma.f64 alpha 2 2) beta)
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 alpha (+.f64 alpha 2)) beta)) 1))
(/.f64 (+.f64 alpha (+.f64 alpha 2)) beta)
(/.f64 (fma.f64 alpha 2 2) beta)
(log1p.f64 (expm1.f64 (/.f64 (+.f64 alpha (+.f64 alpha 2)) beta)))
(/.f64 (+.f64 alpha (+.f64 alpha 2)) beta)
(/.f64 (fma.f64 alpha 2 2) beta)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)))) 1)
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(-.f64 (/.f64 (*.f64 (pow.f64 (/.f64 beta alpha) 2) 4) (/.f64 (-.f64 (*.f64 2 beta) 2) alpha)) (/.f64 (pow.f64 (/.f64 2 alpha) 2) (/.f64 (-.f64 (*.f64 2 beta) 2) alpha)))
(/.f64 (-.f64 (*.f64 4 (pow.f64 (/.f64 beta alpha) 2)) (pow.f64 (/.f64 2 alpha) 2)) (/.f64 (fma.f64 2 beta -2) alpha))
(*.f64 alpha (/.f64 (-.f64 (*.f64 4 (pow.f64 (/.f64 beta alpha) 2)) (pow.f64 (/.f64 2 alpha) 2)) (fma.f64 2 beta -2)))
(*.f64 1 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(*.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(*.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) 1)
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(*.f64 (cbrt.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) (pow.f64 (cbrt.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) 2))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) 2) (cbrt.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(*.f64 (sqrt.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) (sqrt.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(*.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (*.f64 (pow.f64 (/.f64 beta alpha) 3) 8)) (/.f64 1 (+.f64 (*.f64 (pow.f64 (/.f64 beta alpha) 2) 4) (*.f64 (/.f64 2 alpha) (-.f64 (/.f64 2 alpha) (*.f64 2 (/.f64 beta alpha)))))))
(*.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (*.f64 8 (pow.f64 (/.f64 beta alpha) 3))) (/.f64 1 (fma.f64 (pow.f64 (/.f64 beta alpha) 2) 4 (*.f64 (/.f64 2 alpha) (-.f64 (/.f64 2 alpha) (*.f64 2 (/.f64 beta alpha)))))))
(/.f64 (fma.f64 8 (pow.f64 (/.f64 beta alpha) 3) (/.f64 8 (pow.f64 alpha 3))) (fma.f64 (/.f64 2 alpha) (/.f64 (neg.f64 (fma.f64 2 beta -2)) alpha) (*.f64 4 (pow.f64 (/.f64 beta alpha) 2))))
(*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 beta alpha) 2) 4) (pow.f64 (/.f64 2 alpha) 2)) (/.f64 1 (/.f64 (-.f64 (*.f64 2 beta) 2) alpha)))
(/.f64 (-.f64 (*.f64 4 (pow.f64 (/.f64 beta alpha) 2)) (pow.f64 (/.f64 2 alpha) 2)) (/.f64 (fma.f64 2 beta -2) alpha))
(*.f64 alpha (/.f64 (-.f64 (*.f64 4 (pow.f64 (/.f64 beta alpha) 2)) (pow.f64 (/.f64 2 alpha) 2)) (fma.f64 2 beta -2)))
(*.f64 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)) 2)
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 beta alpha) 2) 4) (*.f64 (/.f64 2 alpha) (-.f64 (/.f64 2 alpha) (*.f64 2 (/.f64 beta alpha))))) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (*.f64 (pow.f64 (/.f64 beta alpha) 3) 8))))
(*.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (*.f64 8 (pow.f64 (/.f64 beta alpha) 3))) (/.f64 1 (fma.f64 (pow.f64 (/.f64 beta alpha) 2) 4 (*.f64 (/.f64 2 alpha) (-.f64 (/.f64 2 alpha) (*.f64 2 (/.f64 beta alpha)))))))
(/.f64 (fma.f64 8 (pow.f64 (/.f64 beta alpha) 3) (/.f64 8 (pow.f64 alpha 3))) (fma.f64 (/.f64 2 alpha) (/.f64 (neg.f64 (fma.f64 2 beta -2)) alpha) (*.f64 4 (pow.f64 (/.f64 beta alpha) 2))))
(/.f64 1 (/.f64 (/.f64 (-.f64 (*.f64 2 beta) 2) alpha) (-.f64 (*.f64 (pow.f64 (/.f64 beta alpha) 2) 4) (pow.f64 (/.f64 2 alpha) 2))))
(/.f64 (-.f64 (*.f64 4 (pow.f64 (/.f64 beta alpha) 2)) (pow.f64 (/.f64 2 alpha) 2)) (/.f64 (fma.f64 2 beta -2) alpha))
(*.f64 alpha (/.f64 (-.f64 (*.f64 4 (pow.f64 (/.f64 beta alpha) 2)) (pow.f64 (/.f64 2 alpha) 2)) (fma.f64 2 beta -2)))
(/.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (*.f64 (pow.f64 (/.f64 beta alpha) 3) 8)) (+.f64 (*.f64 (pow.f64 (/.f64 beta alpha) 2) 4) (*.f64 (/.f64 2 alpha) (-.f64 (/.f64 2 alpha) (*.f64 2 (/.f64 beta alpha))))))
(*.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (*.f64 8 (pow.f64 (/.f64 beta alpha) 3))) (/.f64 1 (fma.f64 (pow.f64 (/.f64 beta alpha) 2) 4 (*.f64 (/.f64 2 alpha) (-.f64 (/.f64 2 alpha) (*.f64 2 (/.f64 beta alpha)))))))
(/.f64 (fma.f64 8 (pow.f64 (/.f64 beta alpha) 3) (/.f64 8 (pow.f64 alpha 3))) (fma.f64 (/.f64 2 alpha) (/.f64 (neg.f64 (fma.f64 2 beta -2)) alpha) (*.f64 4 (pow.f64 (/.f64 beta alpha) 2))))
(/.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (*.f64 (pow.f64 (/.f64 beta alpha) 3) 8)) (+.f64 (pow.f64 (/.f64 2 alpha) 2) (-.f64 (*.f64 (pow.f64 (/.f64 beta alpha) 2) 4) (*.f64 2 (*.f64 (/.f64 beta alpha) (/.f64 2 alpha))))))
(/.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (*.f64 8 (pow.f64 (/.f64 beta alpha) 3))) (-.f64 (+.f64 (pow.f64 (/.f64 2 alpha) 2) (*.f64 4 (pow.f64 (/.f64 beta alpha) 2))) (*.f64 2 (*.f64 (/.f64 2 alpha) (/.f64 beta alpha)))))
(/.f64 (fma.f64 8 (pow.f64 (/.f64 beta alpha) 3) (/.f64 8 (pow.f64 alpha 3))) (+.f64 (pow.f64 (/.f64 2 alpha) 2) (fma.f64 4 (pow.f64 (/.f64 beta alpha) 2) (*.f64 -2 (*.f64 (/.f64 2 alpha) (/.f64 beta alpha))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 beta alpha) 2) 4) (pow.f64 (/.f64 2 alpha) 2)) (/.f64 (-.f64 (*.f64 2 beta) 2) alpha))
(/.f64 (-.f64 (*.f64 4 (pow.f64 (/.f64 beta alpha) 2)) (pow.f64 (/.f64 2 alpha) 2)) (/.f64 (fma.f64 2 beta -2) alpha))
(*.f64 alpha (/.f64 (-.f64 (*.f64 4 (pow.f64 (/.f64 beta alpha) 2)) (pow.f64 (/.f64 2 alpha) 2)) (fma.f64 2 beta -2)))
(/.f64 (+.f64 (*.f64 (*.f64 2 beta) alpha) (+.f64 alpha alpha)) (*.f64 alpha alpha))
(/.f64 (fma.f64 (*.f64 2 beta) alpha (+.f64 alpha alpha)) (*.f64 alpha alpha))
(/.f64 (*.f64 alpha (fma.f64 2 beta 2)) (*.f64 alpha alpha))
(/.f64 (+.f64 (+.f64 alpha alpha) (*.f64 alpha (*.f64 2 beta))) (*.f64 alpha alpha))
(/.f64 (fma.f64 (*.f64 2 beta) alpha (+.f64 alpha alpha)) (*.f64 alpha alpha))
(/.f64 (*.f64 alpha (fma.f64 2 beta 2)) (*.f64 alpha alpha))
(/.f64 (neg.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (*.f64 (pow.f64 (/.f64 beta alpha) 3) 8))) (neg.f64 (+.f64 (*.f64 (pow.f64 (/.f64 beta alpha) 2) 4) (*.f64 (/.f64 2 alpha) (-.f64 (/.f64 2 alpha) (*.f64 2 (/.f64 beta alpha)))))))
(/.f64 (neg.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (*.f64 8 (pow.f64 (/.f64 beta alpha) 3)))) (neg.f64 (fma.f64 (pow.f64 (/.f64 beta alpha) 2) 4 (*.f64 (/.f64 2 alpha) (-.f64 (/.f64 2 alpha) (*.f64 2 (/.f64 beta alpha)))))))
(*.f64 1 (/.f64 (fma.f64 8 (pow.f64 (/.f64 beta alpha) 3) (/.f64 8 (pow.f64 alpha 3))) (fma.f64 (/.f64 2 alpha) (/.f64 (neg.f64 (fma.f64 2 beta -2)) alpha) (*.f64 4 (pow.f64 (/.f64 beta alpha) 2)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 beta alpha) 3) -8 (/.f64 -8 (pow.f64 alpha 3))) (fma.f64 (/.f64 (neg.f64 (fma.f64 2 beta -2)) alpha) (/.f64 -2 alpha) (*.f64 -4 (pow.f64 (/.f64 beta alpha) 2))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (/.f64 beta alpha) 2) 4) (pow.f64 (/.f64 2 alpha) 2))) (neg.f64 (/.f64 (-.f64 (*.f64 2 beta) 2) alpha)))
(/.f64 (neg.f64 (-.f64 (*.f64 4 (pow.f64 (/.f64 beta alpha) 2)) (pow.f64 (/.f64 2 alpha) 2))) (/.f64 (neg.f64 (fma.f64 2 beta -2)) alpha))
(*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 2 alpha) 2) (*.f64 -4 (pow.f64 (/.f64 beta alpha) 2))) (neg.f64 (fma.f64 2 beta -2))) alpha)
(/.f64 (-.f64 (pow.f64 (/.f64 2 alpha) 2) (*.f64 (pow.f64 (/.f64 beta alpha) 2) 4)) (-.f64 (/.f64 2 alpha) (*.f64 2 (/.f64 beta alpha))))
(/.f64 (neg.f64 (-.f64 (*.f64 4 (pow.f64 (/.f64 beta alpha) 2)) (pow.f64 (/.f64 2 alpha) 2))) (/.f64 (neg.f64 (fma.f64 2 beta -2)) alpha))
(*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 2 alpha) 2) (*.f64 -4 (pow.f64 (/.f64 beta alpha) 2))) (neg.f64 (fma.f64 2 beta -2))) alpha)
(pow.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) 1)
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(pow.f64 (cbrt.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) 3)
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(pow.f64 (pow.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) 3) 1/3)
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(pow.f64 (sqrt.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) 2)
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(sqrt.f64 (pow.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) 2))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(log.f64 (exp.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)))))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(cbrt.f64 (pow.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) 3))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(expm1.f64 (log1p.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(exp.f64 (log.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(exp.f64 (*.f64 (log.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) 1))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(log1p.f64 (expm1.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(fma.f64 1 (*.f64 2 (/.f64 beta alpha)) (/.f64 2 alpha))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(fma.f64 1 (/.f64 2 alpha) (*.f64 2 (/.f64 beta alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(fma.f64 2 (/.f64 1 alpha) (*.f64 2 (/.f64 beta alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(fma.f64 (/.f64 beta alpha) 2 (/.f64 2 alpha))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(fma.f64 (/.f64 1 alpha) 2 (*.f64 2 (/.f64 beta alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 2 alpha) 2)) (cbrt.f64 (/.f64 2 alpha)) (*.f64 2 (/.f64 beta alpha)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 beta alpha) 2) 4)) (cbrt.f64 (*.f64 2 (/.f64 beta alpha))) (/.f64 2 alpha))
(fma.f64 (cbrt.f64 (*.f64 4 (pow.f64 (/.f64 beta alpha) 2))) (cbrt.f64 (*.f64 2 (/.f64 beta alpha))) (/.f64 2 alpha))
(fma.f64 (sqrt.f64 (/.f64 2 alpha)) (sqrt.f64 (/.f64 2 alpha)) (*.f64 2 (/.f64 beta alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(fma.f64 (sqrt.f64 (*.f64 2 (/.f64 beta alpha))) (sqrt.f64 (*.f64 2 (/.f64 beta alpha))) (/.f64 2 alpha))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))

eval118.0ms (1.4%)

Compiler

Compiled 5559 to 4149 computations (25.4% saved)

prune100.0ms (1.2%)

Pruning

24 alts after pruning (13 fresh and 11 done)

PrunedKeptTotal
New3246330
Fresh077
Picked325
Done099
Total32724351
Accurracy
100.0%
Counts
351 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.2%
(/.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 (*.f64 (/.f64 alpha beta) (/.f64 alpha beta)) 1))) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) 2)
29.6%
(/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2)
9.8%
(/.f64 (/.f64 (+.f64 beta beta) alpha) 2)
23.7%
(/.f64 (/.f64 2 alpha) 2)
75.0%
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
28.6%
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 (-.f64 -2 beta) alpha) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2))) 2)
29.0%
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 (-.f64 -2 beta) alpha) (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)))) 2)
72.8%
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) -1) 2)
22.6%
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
8.8%
(/.f64 (-.f64 (*.f64 -2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))) (*.f64 beta (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha)))) 2)
30.0%
(/.f64 (-.f64 2 (/.f64 (+.f64 alpha alpha) beta)) 2)
26.9%
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
52.1%
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
50.4%
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
74.0%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
72.8%
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
23.1%
(/.f64 (+.f64 (/.f64 2 alpha) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 -4 (*.f64 alpha alpha)))) 2)
72.8%
(/.f64 (+.f64 (/.f64 1 (/.f64 (+.f64 beta 2) beta)) 1) 2)
48.6%
(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
29.9%
(/.f64 (+.f64 2 (/.f64 (neg.f64 alpha) beta)) 2)
29.6%
(/.f64 (*.f64 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)) 2) 2)
29.6%
(/.f64 (*.f64 (+.f64 beta (+.f64 beta 2)) (/.f64 1 alpha)) 2)
34.6%
(/.f64 2 2)
52.0%
(/.f64 1 2)
Compiler

Compiled 904 to 646 computations (28.5% saved)

regimes117.0ms (1.4%)

Counts
35 → 2
Calls
Call 1
Inputs
(/.f64 1 2)
(/.f64 2 2)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
(/.f64 (/.f64 (+.f64 beta beta) alpha) 2)
(/.f64 (+.f64 2 (/.f64 (neg.f64 alpha) beta)) 2)
(/.f64 (+.f64 2 (/.f64 (-.f64 -2 alpha) beta)) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
(/.f64 (-.f64 2 (/.f64 (+.f64 alpha alpha) beta)) 2)
(/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2)
(/.f64 (*.f64 (+.f64 beta (+.f64 beta 2)) (/.f64 1 alpha)) 2)
(/.f64 (*.f64 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)) 2) 2)
(/.f64 (+.f64 (/.f64 1 (/.f64 (+.f64 beta 2) beta)) 1) 2)
(/.f64 (-.f64 2 (/.f64 (+.f64 alpha (+.f64 alpha 2)) beta)) 2)
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) -1) 2)
(/.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
(/.f64 (-.f64 (*.f64 -2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))) (*.f64 beta (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha)))) 2)
(/.f64 (+.f64 (-.f64 2 (/.f64 alpha beta)) (-.f64 (/.f64 (*.f64 (+.f64 alpha (+.f64 alpha 2)) (+.f64 alpha 2)) (*.f64 beta beta)) (+.f64 (/.f64 alpha beta) (/.f64 2 beta)))) 2)
(/.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 (*.f64 (/.f64 alpha beta) (/.f64 alpha beta)) 1))) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) 2)
(/.f64 (+.f64 (/.f64 2 alpha) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 -4 (*.f64 alpha alpha)))) 2)
(/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 (-.f64 -2 beta) alpha) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2))) 2)
(/.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) 1))) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) 2)
(/.f64 (+.f64 (log.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 1) 2)
(/.f64 (fma.f64 2 (/.f64 beta alpha) (-.f64 (-.f64 (/.f64 2 alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))) (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))))) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 (-.f64 -2 beta) alpha) (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)))) 2)
(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3) (+.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)))) 2)
Outputs
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 (-.f64 -2 beta) alpha) (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)))) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
Calls

5 calls:

46.0ms
alpha
24.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
18.0ms
beta
10.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
6.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
Results
AccuracySegmentsBranch
97.1%2alpha
75.0%1beta
100.0%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
100.0%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
100.0%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
Compiler

Compiled 592 to 408 computations (31.1% saved)

regimes63.0ms (0.8%)

Counts
33 → 2
Calls
Call 1
Inputs
(/.f64 1 2)
(/.f64 2 2)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
(/.f64 (/.f64 (+.f64 beta beta) alpha) 2)
(/.f64 (+.f64 2 (/.f64 (neg.f64 alpha) beta)) 2)
(/.f64 (+.f64 2 (/.f64 (-.f64 -2 alpha) beta)) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
(/.f64 (-.f64 2 (/.f64 (+.f64 alpha alpha) beta)) 2)
(/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2)
(/.f64 (*.f64 (+.f64 beta (+.f64 beta 2)) (/.f64 1 alpha)) 2)
(/.f64 (*.f64 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)) 2) 2)
(/.f64 (+.f64 (/.f64 1 (/.f64 (+.f64 beta 2) beta)) 1) 2)
(/.f64 (-.f64 2 (/.f64 (+.f64 alpha (+.f64 alpha 2)) beta)) 2)
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) -1) 2)
(/.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
(/.f64 (-.f64 (*.f64 -2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))) (*.f64 beta (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha)))) 2)
(/.f64 (+.f64 (-.f64 2 (/.f64 alpha beta)) (-.f64 (/.f64 (*.f64 (+.f64 alpha (+.f64 alpha 2)) (+.f64 alpha 2)) (*.f64 beta beta)) (+.f64 (/.f64 alpha beta) (/.f64 2 beta)))) 2)
(/.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 (*.f64 (/.f64 alpha beta) (/.f64 alpha beta)) 1))) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) 2)
(/.f64 (+.f64 (/.f64 2 alpha) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 -4 (*.f64 alpha alpha)))) 2)
(/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 (-.f64 -2 beta) alpha) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2))) 2)
(/.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) 1))) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) 2)
(/.f64 (+.f64 (log.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 1) 2)
(/.f64 (fma.f64 2 (/.f64 beta alpha) (-.f64 (-.f64 (/.f64 2 alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))) (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))))) 2)
Outputs
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 (-.f64 -2 beta) alpha) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2))) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
Calls

3 calls:

40.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
6.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
6.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
Results
AccuracySegmentsBranch
99.9%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
99.9%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
99.9%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
Compiler

Compiled 513 to 353 computations (31.2% saved)

regimes35.0ms (0.4%)

Counts
29 → 2
Calls
Call 1
Inputs
(/.f64 1 2)
(/.f64 2 2)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
(/.f64 (/.f64 (+.f64 beta beta) alpha) 2)
(/.f64 (+.f64 2 (/.f64 (neg.f64 alpha) beta)) 2)
(/.f64 (+.f64 2 (/.f64 (-.f64 -2 alpha) beta)) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
(/.f64 (-.f64 2 (/.f64 (+.f64 alpha alpha) beta)) 2)
(/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2)
(/.f64 (*.f64 (+.f64 beta (+.f64 beta 2)) (/.f64 1 alpha)) 2)
(/.f64 (*.f64 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)) 2) 2)
(/.f64 (+.f64 (/.f64 1 (/.f64 (+.f64 beta 2) beta)) 1) 2)
(/.f64 (-.f64 2 (/.f64 (+.f64 alpha (+.f64 alpha 2)) beta)) 2)
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) -1) 2)
(/.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
(/.f64 (-.f64 (*.f64 -2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))) (*.f64 beta (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha)))) 2)
(/.f64 (+.f64 (-.f64 2 (/.f64 alpha beta)) (-.f64 (/.f64 (*.f64 (+.f64 alpha (+.f64 alpha 2)) (+.f64 alpha 2)) (*.f64 beta beta)) (+.f64 (/.f64 alpha beta) (/.f64 2 beta)))) 2)
(/.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 (*.f64 (/.f64 alpha beta) (/.f64 alpha beta)) 1))) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) 2)
(/.f64 (+.f64 (/.f64 2 alpha) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 -4 (*.f64 alpha alpha)))) 2)
(/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) 2)
Outputs
(/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
Calls

3 calls:

15.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
6.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
5.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
Results
AccuracySegmentsBranch
99.9%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
99.9%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
99.9%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
Compiler

Compiled 398 to 277 computations (30.4% saved)

regimes78.0ms (0.9%)

Counts
28 → 2
Calls
Call 1
Inputs
(/.f64 1 2)
(/.f64 2 2)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
(/.f64 (/.f64 (+.f64 beta beta) alpha) 2)
(/.f64 (+.f64 2 (/.f64 (neg.f64 alpha) beta)) 2)
(/.f64 (+.f64 2 (/.f64 (-.f64 -2 alpha) beta)) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
(/.f64 (-.f64 2 (/.f64 (+.f64 alpha alpha) beta)) 2)
(/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2)
(/.f64 (*.f64 (+.f64 beta (+.f64 beta 2)) (/.f64 1 alpha)) 2)
(/.f64 (*.f64 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)) 2) 2)
(/.f64 (+.f64 (/.f64 1 (/.f64 (+.f64 beta 2) beta)) 1) 2)
(/.f64 (-.f64 2 (/.f64 (+.f64 alpha (+.f64 alpha 2)) beta)) 2)
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) -1) 2)
(/.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
(/.f64 (-.f64 (*.f64 -2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))) (*.f64 beta (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha)))) 2)
(/.f64 (+.f64 (-.f64 2 (/.f64 alpha beta)) (-.f64 (/.f64 (*.f64 (+.f64 alpha (+.f64 alpha 2)) (+.f64 alpha 2)) (*.f64 beta beta)) (+.f64 (/.f64 alpha beta) (/.f64 2 beta)))) 2)
(/.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 (*.f64 (/.f64 alpha beta) (/.f64 alpha beta)) 1))) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) 2)
(/.f64 (+.f64 (/.f64 2 alpha) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 -4 (*.f64 alpha alpha)))) 2)
Outputs
(/.f64 (*.f64 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)) 2) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
Calls

3 calls:

14.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
6.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
5.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
Results
AccuracySegmentsBranch
99.6%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
99.6%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
99.6%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
Compiler

Compiled 376 to 263 computations (30.1% saved)

regimes29.0ms (0.3%)

Counts
23 → 2
Calls
Call 1
Inputs
(/.f64 1 2)
(/.f64 2 2)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
(/.f64 (/.f64 (+.f64 beta beta) alpha) 2)
(/.f64 (+.f64 2 (/.f64 (neg.f64 alpha) beta)) 2)
(/.f64 (+.f64 2 (/.f64 (-.f64 -2 alpha) beta)) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
(/.f64 (-.f64 2 (/.f64 (+.f64 alpha alpha) beta)) 2)
(/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2)
(/.f64 (*.f64 (+.f64 beta (+.f64 beta 2)) (/.f64 1 alpha)) 2)
(/.f64 (*.f64 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)) 2) 2)
(/.f64 (+.f64 (/.f64 1 (/.f64 (+.f64 beta 2) beta)) 1) 2)
(/.f64 (-.f64 2 (/.f64 (+.f64 alpha (+.f64 alpha 2)) beta)) 2)
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) -1) 2)
(/.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
Outputs
(/.f64 (*.f64 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)) 2) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
Calls

3 calls:

12.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
6.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
5.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
Results
AccuracySegmentsBranch
99.6%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
99.6%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
99.6%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
Compiler

Compiled 243 to 180 computations (25.9% saved)

regimes37.0ms (0.5%)

Counts
21 → 2
Calls
Call 1
Inputs
(/.f64 1 2)
(/.f64 2 2)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
(/.f64 (/.f64 (+.f64 beta beta) alpha) 2)
(/.f64 (+.f64 2 (/.f64 (neg.f64 alpha) beta)) 2)
(/.f64 (+.f64 2 (/.f64 (-.f64 -2 alpha) beta)) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
(/.f64 (-.f64 2 (/.f64 (+.f64 alpha alpha) beta)) 2)
(/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2)
(/.f64 (*.f64 (+.f64 beta (+.f64 beta 2)) (/.f64 1 alpha)) 2)
(/.f64 (*.f64 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)) 2) 2)
(/.f64 (+.f64 (/.f64 1 (/.f64 (+.f64 beta 2) beta)) 1) 2)
(/.f64 (-.f64 2 (/.f64 (+.f64 alpha (+.f64 alpha 2)) beta)) 2)
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) -1) 2)
(/.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) 2)
Outputs
(/.f64 (+.f64 (/.f64 1 (/.f64 (+.f64 beta 2) beta)) 1) 2)
(/.f64 (*.f64 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)) 2) 2)
Calls

1 calls:

32.0ms
alpha
Results
AccuracySegmentsBranch
96.1%2alpha
Compiler

Compiled 181 to 138 computations (23.8% saved)

regimes29.0ms (0.4%)

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

1 calls:

23.0ms
alpha
Results
AccuracySegmentsBranch
96.1%2alpha
Compiler

Compiled 124 to 96 computations (22.6% saved)

regimes29.0ms (0.4%)

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

1 calls:

26.0ms
alpha
Results
AccuracySegmentsBranch
96.1%2alpha
Compiler

Compiled 113 to 88 computations (22.1% saved)

regimes16.0ms (0.2%)

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

1 calls:

13.0ms
alpha
Results
AccuracySegmentsBranch
89.9%2alpha
Compiler

Compiled 93 to 74 computations (20.4% saved)

regimes40.0ms (0.5%)

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

2 calls:

26.0ms
alpha
11.0ms
beta
Results
AccuracySegmentsBranch
72.0%2beta
75.1%5alpha
Compiler

Compiled 69 to 56 computations (18.8% saved)

regimes10.0ms (0.1%)

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

1 calls:

9.0ms
beta
Results
AccuracySegmentsBranch
71.7%2beta
Compiler

Compiled 35 to 31 computations (11.4% saved)

regimes10.0ms (0.1%)

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

1 calls:

9.0ms
beta
Results
AccuracySegmentsBranch
71.5%2beta
Compiler

Compiled 21 to 19 computations (9.5% saved)

regimes5.0ms (0.1%)

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

2 calls:

2.0ms
beta
2.0ms
alpha
Results
AccuracySegmentsBranch
52.0%1alpha
52.0%1beta
Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.999998833557021
-0.000741698128370692
Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.999998833557021
-0.000741698128370692
Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.999998833557021
-0.000741698128370692
Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-1.0
-0.9999999907935021
Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-1.0
-0.9999999907935021
Compiler

Compiled 20 to 15 computations (25% saved)

bsearch22.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
22.0ms
5.771996471493185e+31
2.3526673089079637e+42
Results
20.0ms160×body256valid
Compiler

Compiled 300 to 245 computations (18.3% saved)

bsearch22.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
22.0ms
5.771996471493185e+31
2.3526673089079637e+42
Results
20.0ms160×body256valid
Compiler

Compiled 280 to 225 computations (19.6% saved)

bsearch33.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
32.0ms
5.771996471493185e+31
2.3526673089079637e+42
Results
30.0ms160×body256valid
Compiler

Compiled 260 to 205 computations (21.2% saved)

bsearch23.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
23.0ms
5.771996471493185e+31
2.3526673089079637e+42
Results
21.0ms160×body256valid
Compiler

Compiled 220 to 185 computations (15.9% saved)

bsearch23.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
23.0ms
0.02262687661054303
94.13991737958577
Results
16.0ms97×body256valid
3.0ms17×body1024valid
2.0ms14×body512valid
Compiler

Compiled 180 to 159 computations (11.7% saved)

bsearch19.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
19.0ms
0.02262687661054303
94.13991737958577
Results
9.0ms92×body256valid
4.0ms22×body1024valid
2.0msbody2048valid
2.0ms11×body512valid
Compiler

Compiled 148 to 135 computations (8.8% saved)

bsearch33.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
33.0ms
94.13991737958577
144.11627951117012
Results
29.0ms51×body256valid
1.0msbody1024valid
1.0msbody512valid
0.0msbody2048valid
Compiler

Compiled 68 to 63 computations (7.4% saved)

simplify62.0ms (0.8%)

Algorithm
egg-herbie
Rules
276×unsub-neg
150×neg-mul-1
130×+-commutative
100×distribute-neg-out
88×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
097981
1133981
2170981
3224981
4260981
5294981
6337981
7443981
8585981
9644981
10692981
11732981
12751981
13754981
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1/2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 (-.f64 -2 beta) alpha) (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)))) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1/2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 (-.f64 -2 beta) alpha) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2))) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1/2) (/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1) (/.f64 (*.f64 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)) 2) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1) (/.f64 (*.f64 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)) 2) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 alpha 1199999999999999992336352414793728) (/.f64 (+.f64 (/.f64 1 (/.f64 (+.f64 beta 2) beta)) 1) 2) (/.f64 (*.f64 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)) 2) 2))
(if (<=.f64 alpha 58000000000000000590358287220736) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (*.f64 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)) 2) 2))
(if (<=.f64 alpha 31999999999999998258407391585370112) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 58000000000000000590358287220736) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 beta 8782019273372467/4503599627370496) (/.f64 (+.f64 (*.f64 beta 1/2) 1) 2) (/.f64 (-.f64 2 (/.f64 2 beta)) 2))
(if (<=.f64 beta 2) (/.f64 (+.f64 (*.f64 beta 1/2) 1) 2) (/.f64 2 2))
(if (<=.f64 beta 95) (/.f64 1 2) (/.f64 2 2))
(/.f64 1 2)
Outputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1/2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 (-.f64 -2 beta) alpha) (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)))) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1/2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 (-.f64 -2 beta) alpha) (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)))) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1/2) (/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)) (/.f64 (-.f64 -2 beta) alpha))) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1/2) (/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 (-.f64 beta -2) alpha) (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)))) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1/2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 (-.f64 -2 beta) alpha) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2))) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1/2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 (-.f64 -2 beta) alpha) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2))) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1/2) (/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 (-.f64 beta -2) alpha) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2))) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1/2) (/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1/2) (/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha)) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1) (/.f64 (*.f64 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)) 2) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1) (/.f64 (*.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha))) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1) (/.f64 (*.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha))) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 -1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1) (/.f64 (*.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha))) 2) (/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1) (/.f64 (*.f64 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)) 2) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1) (/.f64 (*.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha))) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))
(if (<=.f64 alpha 1199999999999999992336352414793728) (/.f64 (+.f64 (/.f64 1 (/.f64 (+.f64 beta 2) beta)) 1) 2) (/.f64 (*.f64 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)) 2) 2))
(if (<=.f64 alpha 1199999999999999992336352414793728) (/.f64 (+.f64 1 (/.f64 1 (/.f64 (+.f64 beta 2) beta))) 2) (/.f64 (*.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha))) 2))
(if (<=.f64 alpha 58000000000000000590358287220736) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (*.f64 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)) 2) 2))
(if (<=.f64 alpha 58000000000000000590358287220736) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (*.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha))) 2))
(if (<=.f64 alpha 31999999999999998258407391585370112) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 31999999999999998258407391585370112) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha) 2))
(if (<=.f64 alpha 58000000000000000590358287220736) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 alpha 58000000000000000590358287220736) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 beta 8782019273372467/4503599627370496) (/.f64 (+.f64 (*.f64 beta 1/2) 1) 2) (/.f64 (-.f64 2 (/.f64 2 beta)) 2))
(if (<=.f64 beta 8782019273372467/4503599627370496) (/.f64 (+.f64 1 (*.f64 beta 1/2)) 2) (/.f64 (-.f64 2 (/.f64 2 beta)) 2))
(if (<=.f64 beta 2) (/.f64 (+.f64 (*.f64 beta 1/2) 1) 2) (/.f64 2 2))
(if (<=.f64 beta 2) (/.f64 (+.f64 1 (*.f64 beta 1/2)) 2) 1)
(if (<=.f64 beta 95) (/.f64 1 2) (/.f64 2 2))
(if (<=.f64 beta 95) 1/2 1)
(/.f64 1 2)
1/2
Compiler

Compiled 382 to 274 computations (28.3% saved)

soundness1.7s (20.3%)

Rules
1380×fma-neg
1380×fma-neg
1380×fma-neg
1356×fma-def
1356×fma-def
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01237
12537
24237
37037
412237
524233
644933
775933
8161633
9379633
10762933
01156
125956
2390256
098221225
1277618641
051010982
1140910596
2497310328
098221225
1277618641
098221225
1277618641
051010982
1140910596
2497310328
01998
145798
2694498
025272
1629254
098221225
1277618641
051010982
1140910596
2497310328
098221225
1277618641
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 1243 to 920 computations (26% saved)

end0.0ms (0%)

preprocess191.0ms (2.3%)

Compiler

Compiled 746 to 500 computations (33% saved)

Profiling

Loading profile data...