Octave 3.8, jcobi/1

Time bar (total: 10.7s)

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)

sample1.0s (9.8%)

Results
664.0ms6472×body256valid
243.0ms1082×body1024valid
97.0ms594×body512valid
32.0ms108×body2048valid
Bogosity

preprocess79.0ms (0.7%)

Algorithm
egg-herbie
Rules
1736×fma-neg
1090×div-sub
896×sub-neg
752×times-frac
506×associate-/r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01874
14174
26674
311274
420674
541666
687466
7207866
8573066
022
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 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 alpha (+.f64 beta 2))) 1) 2)
(-.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 beta alpha) 2 4)))
(+.f64 1/2 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) 2 4)))
(fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 alpha) beta)) -1/2 1/2)
(/.f64 (+.f64 (/.f64 (-.f64 alpha beta) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
(/.f64 (+.f64 1 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2)))) 2)
(+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 beta alpha) 2 4)))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -1/2 1/2)
Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify82.0ms (0.8%)

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)))

eval1.0ms (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
73.6%
Counts
7 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.6%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
73.6%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
Compiler

Compiled 30 to 22 computations (26.7% saved)

localize51.0ms (0.5%)

Local Accuracy

Found 2 expressions with local accuracy:

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

Compiled 51 to 24 computations (52.9% saved)

series7.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite95.0ms (0.9%)

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)))))

simplify171.0ms (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)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (/.f64 (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (+.f64 beta 2)) (pow.f64 alpha 2))) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (/.f64 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2))) (pow.f64 alpha 2)))) 1)
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 1)
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))
(-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))
(*.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))
(*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1)
(*.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2))
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(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))))
(+.f64 (-.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 2 beta) 4) (pow.f64 alpha 4))) (+.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3) (-.f64 (-.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 beta (pow.f64 alpha 4)) (pow.f64 (+.f64 2 beta) 3)))))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha))
(neg.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha))
(/.f64 (neg.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta))) alpha)
(/.f64 (+.f64 beta (+.f64 2 beta)) 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 2 beta)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))))
(-.f64 (/.f64 (*.f64 (fma.f64 beta -1 -2) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)) (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha))
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(+.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)))

eval268.0ms (2.5%)

Compiler

Compiled 11693 to 7965 computations (31.9% saved)

prune104.0ms (1%)

Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New37713390
Fresh000
Picked011
Done000
Total37714391
Accurracy
99.9%
Counts
391 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
30.1%
(/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) 2)
73.3%
(/.f64 (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) 2)
73.2%
(/.f64 (pow.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2) 2)
49.2%
(/.f64 (/.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)))) 2)
30.7%
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
49.2%
(/.f64 (/.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))) 2)
74.2%
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
73.6%
(/.f64 (-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 2)
49.8%
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
28.4%
(/.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)
73.6%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
70.8%
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
3.7%
(/.f64 (+.f64 -1 1) 2)
35.3%
(/.f64 2 2)
30.1%
(/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) 2)
73.3%
(/.f64 (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) 2)
73.2%
(/.f64 (pow.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2) 2)
49.2%
(/.f64 (/.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)))) 2)
30.7%
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
49.2%
(/.f64 (/.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))) 2)
74.2%
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
73.6%
(/.f64 (-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 2)
49.8%
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
28.4%
(/.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)
73.6%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
70.8%
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
3.7%
(/.f64 (+.f64 -1 1) 2)
35.3%
(/.f64 2 2)
Compiler

Compiled 1026 to 758 computations (26.1% saved)

localize400.0ms (3.7%)

Local Accuracy

Found 10 expressions with local accuracy:

NewAccuracyProgram
99.9%
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)
99.9%
(/.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))
76.6%
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)
50.3%
(+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)
73.3%
(fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1)
100.0%
(/.f64 alpha (+.f64 alpha 2))
67.9%
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
100.0%
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))
100.0%
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
73.6%
(-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)
Compiler

Compiled 294 to 183 computations (37.8% saved)

series43.0ms (0.4%)

Counts
10 → 216
Calls

54 calls:

TimeVariablePointExpression
6.0ms
beta
@inf
(/.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))
5.0ms
alpha
@0
(/.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))
4.0ms
beta
@0
(/.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))
3.0ms
beta
@-inf
(fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1)
2.0ms
alpha
@-inf
(/.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))

rewrite109.0ms (1%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
024312
1582276
Stop Event
node limit
Counts
10 → 314
Calls
Call 1
Inputs
(-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)
(/.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 1 (/.f64 alpha (+.f64 alpha 2)))
(/.f64 alpha (+.f64 alpha 2))
(fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1)
(+.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 (+.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))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)
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 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) (+.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))))
(*.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) -1) (/.f64 1 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(*.f64 (+.f64 (sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 1) (-.f64 (sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) (+.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1) (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) -1)))
(/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3) -1) (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) (+.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3) -1) (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (*.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1))))
(/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) -1) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))
(/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) -1) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) (+.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) -1)) (neg.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(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 (+.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 1)
(*.f64 alpha (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)
(*.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
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(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 (log.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))
(fma.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)
(fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) -1)
(fma.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) -1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))) 1)
(*.f64 1 (/.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) (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 2) (/.f64 1 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) (/.f64 1 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))
(*.f64 (+.f64 1 (neg.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (/.f64 1 (+.f64 1 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)) 2)) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1))) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) 2) 1) (/.f64 (cbrt.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 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) 2) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)) 2)) (/.f64 1 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) 2) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1))) (/.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) 1) (/.f64 (sqrt.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 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)) 2)) (/.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1))))
(pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) -1)
(pow.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 3) 1/3)
(pow.f64 (/.f64 1 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 2)
(neg.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 1 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))))
(sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 2)))
(log.f64 (exp.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) 3) (pow.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))
(exp.f64 (neg.f64 (log.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) 1)
(*.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2))
(*.f64 (pow.f64 (-.f64 beta alpha) 2) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))
(/.f64 1 (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))))
(/.f64 (-.f64 beta alpha) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))))
(/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)))
(/.f64 (pow.f64 (-.f64 beta alpha) 2) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))
(/.f64 (neg.f64 (-.f64 beta alpha)) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) (neg.f64 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (*.f64 (neg.f64 (-.f64 beta alpha)) (neg.f64 (-.f64 beta alpha))) (*.f64 (neg.f64 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (*.f64 (-.f64 beta alpha) 1) (*.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))))
(/.f64 (*.f64 (-.f64 beta alpha) (neg.f64 (-.f64 beta alpha))) (*.f64 (+.f64 beta (+.f64 alpha 2)) (neg.f64 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (*.f64 (neg.f64 (-.f64 beta alpha)) 1) (*.f64 (neg.f64 (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))))
(/.f64 (*.f64 (neg.f64 (-.f64 beta alpha)) (-.f64 beta alpha)) (*.f64 (neg.f64 (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4))
(log.f64 (exp.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 6))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))
(exp.f64 (*.f64 2 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))

simplify382.0ms (3.6%)

Algorithm
egg-herbie
Rules
828×+-commutative
754×*-commutative
708×sub-neg
604×cancel-sign-sub-inv
464×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0167853704
1555750560
Stop Event
node limit
Counts
530 → 906
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 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)))))
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1
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(/.f64 2 alpha)
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(*.f64 1/2 alpha)
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1
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1
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2
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2
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(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
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(/.f64 (-.f64 (*.f64 -2 alpha) (+.f64 4 (*.f64 2 alpha))) beta)
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(*.f64 2 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta))
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(-.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) 1)
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(-.f64 (+.f64 (/.f64 beta (*.f64 (-.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) 1) (+.f64 beta 2))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) 1))) (*.f64 -2 (/.f64 (*.f64 beta (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 beta (+.f64 beta 2)) 1))) (*.f64 (pow.f64 (-.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) 1) 2) (+.f64 beta 2))))) alpha) (+.f64 (*.f64 (pow.f64 alpha 3) (-.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))) (-.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) 1))) (+.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (*.f64 2 (/.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 2)))) (-.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) 1))) (*.f64 -2 (/.f64 (*.f64 beta (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 beta (+.f64 beta 2)) 1))) (*.f64 (pow.f64 (-.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) 1) 2) (+.f64 beta 2)))))) (-.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) 1)) (+.f64 (*.f64 -2 (/.f64 (*.f64 beta (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 1 (*.f64 (-.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) 1) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (*.f64 2 (/.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 2)))) (-.f64 (/.f64 beta (+.f64 beta 2)) 1)) (pow.f64 (-.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) 1) 2)) (+.f64 (*.f64 -1 (/.f64 beta (*.f64 (-.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) 1) (pow.f64 (+.f64 beta 2) 3)))) (*.f64 -2 (/.f64 (*.f64 beta (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (-.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) 1))) (*.f64 -2 (/.f64 (*.f64 beta (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 beta (+.f64 beta 2)) 1))) (*.f64 (pow.f64 (-.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) 1) 2) (+.f64 beta 2))))))) (*.f64 (-.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) 1) (+.f64 beta 2))))))))) (*.f64 (-.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) 1) (+.f64 beta 2)))) (/.f64 (*.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (+.f64 beta 2))) (*.f64 -2 (/.f64 (*.f64 beta (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))) (+.f64 beta 2)))) (-.f64 (/.f64 beta (+.f64 beta 2)) 1)) (pow.f64 (-.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) 1) 2)))))) (*.f64 (-.f64 (/.f64 1 (*.f64 (-.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) 1) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (*.f64 2 (/.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 2)))) (-.f64 (/.f64 beta (+.f64 beta 2)) 1)) (pow.f64 (-.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) 1) 2)) (+.f64 (*.f64 -1 (/.f64 beta (*.f64 (-.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) 1) (pow.f64 (+.f64 beta 2) 3)))) (*.f64 -2 (/.f64 (*.f64 beta (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (-.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) 1))) (*.f64 -2 (/.f64 (*.f64 beta (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 beta (+.f64 beta 2)) 1))) (*.f64 (pow.f64 (-.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) 1) 2) (+.f64 beta 2))))))) (*.f64 (-.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) 1) (+.f64 beta 2))))))) (pow.f64 alpha 2))))) (/.f64 1 (-.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) 1)))
(/.f64 alpha (-.f64 beta (*.f64 -1 (+.f64 beta 2))))
(-.f64 (+.f64 (/.f64 alpha (-.f64 beta (*.f64 -1 (+.f64 beta 2)))) (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) (-.f64 beta (*.f64 -1 (+.f64 beta 2)))))) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2))) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2)) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2))))
(-.f64 (+.f64 (/.f64 alpha (-.f64 beta (*.f64 -1 (+.f64 beta 2)))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2))) (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha))) (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) (-.f64 beta (*.f64 -1 (+.f64 beta 2))))))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2))) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2)) (-.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) (-.f64 beta (*.f64 -1 (+.f64 beta 2))))) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2))) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2)) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2))))) (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -2 (*.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (+.f64 beta 2))) (*.f64 -2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) alpha))) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2))) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2)) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2))))))
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2))) (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (pow.f64 (+.f64 beta 2) 3) (*.f64 -1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (pow.f64 alpha 2)))) (+.f64 (/.f64 alpha (-.f64 beta (*.f64 -1 (+.f64 beta 2)))) (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) (-.f64 beta (*.f64 -1 (+.f64 beta 2)))))))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 3))) (*.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (pow.f64 alpha 2)))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2))) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2)) (-.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) (-.f64 beta (*.f64 -1 (+.f64 beta 2))))) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2))) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2)) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2))))) (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -2 (*.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (+.f64 beta 2))) (*.f64 -2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) alpha))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2))) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2)) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) (-.f64 beta (*.f64 -1 (+.f64 beta 2))))) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2))) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2)) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2)))) (+.f64 (*.f64 -2 (*.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (+.f64 beta 2))) (*.f64 -2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2))))) (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (pow.f64 alpha 2)))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2))) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2)) (-.f64 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2))) (-.f64 beta (*.f64 -1 (+.f64 beta 2))))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2))) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2)) (-.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) (-.f64 beta (*.f64 -1 (+.f64 beta 2))))) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2))) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2)) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2))))) (-.f64 beta (*.f64 -1 (+.f64 beta 2))))) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -2 (*.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (+.f64 beta 2))) (*.f64 -2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2)))))) (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (pow.f64 alpha 2))))))))))
(*.f64 -1 (/.f64 alpha (-.f64 (*.f64 -1 beta) (+.f64 beta 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 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))) 1)
(*.f64 1 (/.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) (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 2) (/.f64 1 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) (/.f64 1 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))
(*.f64 (+.f64 1 (neg.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (/.f64 1 (+.f64 1 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)) 2)) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1))) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) 2) 1) (/.f64 (cbrt.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 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) 2) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)) 2)) (/.f64 1 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) 2) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1))) (/.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) 1) (/.f64 (sqrt.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 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)) 2)) (/.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1))))
(pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) -1)
(pow.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 3) 1/3)
(pow.f64 (/.f64 1 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 2)
(neg.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 1 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))))
(sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 2)))
(log.f64 (exp.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) 3) (pow.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))
(exp.f64 (neg.f64 (log.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) 1)
(*.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2))
(*.f64 (pow.f64 (-.f64 beta alpha) 2) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))
(/.f64 1 (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))))
(/.f64 (-.f64 beta alpha) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))))
(/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)))
(/.f64 (pow.f64 (-.f64 beta alpha) 2) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))
(/.f64 (neg.f64 (-.f64 beta alpha)) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) (neg.f64 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (*.f64 (neg.f64 (-.f64 beta alpha)) (neg.f64 (-.f64 beta alpha))) (*.f64 (neg.f64 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (*.f64 (-.f64 beta alpha) 1) (*.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))))
(/.f64 (*.f64 (-.f64 beta alpha) (neg.f64 (-.f64 beta alpha))) (*.f64 (+.f64 beta (+.f64 alpha 2)) (neg.f64 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (*.f64 (neg.f64 (-.f64 beta alpha)) 1) (*.f64 (neg.f64 (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))))
(/.f64 (*.f64 (neg.f64 (-.f64 beta alpha)) (-.f64 beta alpha)) (*.f64 (neg.f64 (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4))
(log.f64 (exp.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 6))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))
(exp.f64 (*.f64 2 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 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 (/.f64 alpha (+.f64 beta 2)) (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) -1)
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(/.f64 (+.f64 (neg.f64 beta) -2) 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 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (+.f64 beta 2) alpha))
(+.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))) (/.f64 (neg.f64 (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 3)))
(-.f64 (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (+.f64 beta 2) alpha)) (/.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 (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))) (+.f64 (/.f64 (neg.f64 (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 3)) (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))))
(+.f64 (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (+.f64 beta 2) alpha)) (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(/.f64 (+.f64 (neg.f64 beta) -2) 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 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (+.f64 beta 2) alpha))
(+.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))) (/.f64 (neg.f64 (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 3)))
(-.f64 (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (+.f64 beta 2) alpha)) (/.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 (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))) (+.f64 (/.f64 (neg.f64 (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 3)) (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))))
(+.f64 (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (+.f64 beta 2) alpha)) (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))
(-.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 alpha (+.f64 alpha 2)) (-.f64 (neg.f64 (/.f64 beta (/.f64 (pow.f64 (+.f64 alpha 2) 2) alpha))) 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 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 (*.f64 beta beta) (/.f64 (pow.f64 (+.f64 alpha 2) 3) alpha))) (neg.f64 (/.f64 beta (/.f64 (pow.f64 (+.f64 alpha 2) 2) alpha)))) -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 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 (*.f64 beta beta) (/.f64 (pow.f64 (+.f64 alpha 2) 3) alpha))) (*.f64 -1 (+.f64 (/.f64 (*.f64 alpha (pow.f64 beta 3)) (pow.f64 (+.f64 alpha 2) 4)) (/.f64 beta (/.f64 (pow.f64 (+.f64 alpha 2) 2) alpha))))) -1)
(+.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 (-.f64 (-.f64 (/.f64 (*.f64 beta beta) (/.f64 (pow.f64 (+.f64 alpha 2) 3) alpha)) (/.f64 (*.f64 alpha (pow.f64 beta 3)) (pow.f64 (+.f64 alpha 2) 4))) (/.f64 beta (/.f64 (pow.f64 (+.f64 alpha 2) 2) 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 2) (/.f64 (*.f64 beta beta) alpha))) -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 (+.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) alpha)) (/.f64 alpha beta)) (neg.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)))) -1)
(+.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) alpha)) (+.f64 (-.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) 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 2) (/.f64 (*.f64 beta beta) alpha))) -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 (+.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) alpha)) (/.f64 alpha beta)) (neg.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)))) -1)
(+.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) alpha)) (+.f64 (-.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha))) -1))
(/.f64 alpha (+.f64 beta 2))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 alpha (+.f64 beta 2)))
(fma.f64 -1 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (/.f64 alpha (+.f64 beta 2)))
(-.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 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 (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)))
(+.f64 (-.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 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)))))
(+.f64 (fma.f64 -1 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (/.f64 alpha (+.f64 beta 2))) (fma.f64 -1 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))
(+.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)) (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4))))
1
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1)
(fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) 1)
(-.f64 1 (/.f64 (+.f64 beta 2) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) 1) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)))
(+.f64 (-.f64 1 (/.f64 (+.f64 beta 2) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)))
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1
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2
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2
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(neg.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha))
(/.f64 (neg.f64 (-.f64 (+.f64 (neg.f64 beta) -2) beta)) alpha)
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1
(+.f64 1 (*.f64 -1/2 alpha))
(+.f64 1 (*.f64 alpha -1/2))
(+.f64 1 (+.f64 (*.f64 -1/2 alpha) (*.f64 1/4 (pow.f64 alpha 2))))
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(fma.f64 -1/8 (pow.f64 alpha 3) (+.f64 1 (fma.f64 -1/2 alpha (*.f64 (*.f64 alpha alpha) 1/4))))
(/.f64 2 alpha)
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(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))
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(/.f64 2 alpha)
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(*.f64 1/2 alpha)
(*.f64 alpha 1/2)
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(fma.f64 1/2 alpha (*.f64 (*.f64 alpha alpha) -1/4))
(+.f64 (*.f64 1/2 alpha) (+.f64 (*.f64 1/8 (pow.f64 alpha 3)) (*.f64 -1/4 (pow.f64 alpha 2))))
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(fma.f64 1/2 alpha (fma.f64 -1/16 (pow.f64 alpha 4) (fma.f64 1/8 (pow.f64 alpha 3) (*.f64 (*.f64 alpha alpha) -1/4))))
1
(-.f64 1 (*.f64 2 (/.f64 1 alpha)))
(-.f64 1 (/.f64 2 alpha))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 2 (/.f64 1 alpha)))
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1
(-.f64 1 (*.f64 2 (/.f64 1 alpha)))
(-.f64 1 (/.f64 2 alpha))
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2
(+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta))))
(fma.f64 -1 (/.f64 alpha beta) (+.f64 2 (neg.f64 (/.f64 (+.f64 alpha 2) beta))))
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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 (+.f64 2 (*.f64 alpha 2)) beta))
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(+.f64 1 (/.f64 beta (+.f64 beta 2)))
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(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 2 (*.f64 beta 2)) alpha)
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(-.f64 (/.f64 beta (+.f64 beta 2)) 1)
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-2
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-2
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) 2)
(fma.f64 -1 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha) -2)
(fma.f64 -1 (/.f64 (-.f64 (+.f64 (neg.f64 beta) -2) beta) alpha) -2)
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1/2
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(-.f64 (fma.f64 -1/2 (/.f64 (-.f64 (neg.f64 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2))) (*.f64 alpha (+.f64 beta (+.f64 beta 2)))) (fma.f64 -1/2 (/.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 2) 3)) (*.f64 (*.f64 alpha alpha) (+.f64 beta (+.f64 beta 2)))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 beta 2))) (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 beta 2)) (+.f64 beta (+.f64 beta 2))))))) (fma.f64 -1/2 (/.f64 (fma.f64 2 (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta (+.f64 beta 2)) 2)) (fma.f64 2 (*.f64 (pow.f64 (+.f64 beta 2) 3) (+.f64 beta (+.f64 beta 2))) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta (+.f64 beta 2)) 2)))) (*.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta (+.f64 beta 2)) 2))) (fma.f64 -1/2 (/.f64 (fma.f64 2 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 (+.f64 beta (+.f64 beta 2)) 2)) (/.f64 (*.f64 alpha (+.f64 beta (+.f64 beta 2))) (*.f64 -1/2 (-.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) (+.f64 beta (+.f64 beta 2))) (/.f64 (fma.f64 2 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 (+.f64 beta (+.f64 beta 2)) 2)) (pow.f64 (+.f64 beta (+.f64 beta 2)) 2)))))) (fma.f64 -1/2 (/.f64 (*.f64 -2 (+.f64 (*.f64 (+.f64 beta 2) (pow.f64 (+.f64 beta (+.f64 beta 2)) 2)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 beta 2))))) (*.f64 alpha (pow.f64 (+.f64 beta (+.f64 beta 2)) 2))) (fma.f64 -1/2 (/.f64 (fma.f64 2 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 (+.f64 beta (+.f64 beta 2)) 2)) (pow.f64 (+.f64 beta (+.f64 beta 2)) 2)) (*.f64 -1/2 (+.f64 (*.f64 (/.f64 (*.f64 -1/2 (-.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) (+.f64 beta (+.f64 beta 2))) (/.f64 (fma.f64 2 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 (+.f64 beta (+.f64 beta 2)) 2)) (pow.f64 (+.f64 beta (+.f64 beta 2)) 2)))) (+.f64 beta (+.f64 beta 2))) (/.f64 (*.f64 -2 (+.f64 (*.f64 (+.f64 beta 2) (pow.f64 (+.f64 beta (+.f64 beta 2)) 2)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 beta 2))))) (*.f64 alpha alpha))) (*.f64 (/.f64 (fma.f64 2 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 (+.f64 beta (+.f64 beta 2)) 2)) (+.f64 beta (+.f64 beta 2))) (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (neg.f64 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2))) (+.f64 beta (+.f64 beta 2)))) (*.f64 1/2 (+.f64 (/.f64 (fma.f64 2 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 (+.f64 beta (+.f64 beta 2)) 2)) (/.f64 (+.f64 beta (+.f64 beta 2)) (*.f64 -1/2 (-.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) (+.f64 beta (+.f64 beta 2))) (/.f64 (fma.f64 2 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 (+.f64 beta (+.f64 beta 2)) 2)) (pow.f64 (+.f64 beta (+.f64 beta 2)) 2)))))) (/.f64 (*.f64 -2 (+.f64 (*.f64 (+.f64 beta 2) (pow.f64 (+.f64 beta (+.f64 beta 2)) 2)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 beta 2))))) (pow.f64 (+.f64 beta (+.f64 beta 2)) 2))))) (*.f64 alpha alpha))))))))))
(*.f64 -1 (/.f64 alpha (-.f64 (*.f64 -1 beta) (+.f64 beta 2))))
(/.f64 (neg.f64 alpha) (-.f64 (neg.f64 beta) (+.f64 beta 2)))
(/.f64 (neg.f64 alpha) (-.f64 (+.f64 (neg.f64 beta) -2) beta))
(+.f64 (*.f64 -1 (+.f64 1/2 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2)) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2))))) (*.f64 -1 (/.f64 alpha (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))))
(fma.f64 -1 (+.f64 1/2 (*.f64 -1/2 (/.f64 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) (+.f64 beta 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2)) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2)))) (/.f64 (neg.f64 alpha) (-.f64 (neg.f64 beta) (+.f64 beta 2))))
(-.f64 (/.f64 (neg.f64 alpha) (-.f64 (+.f64 (neg.f64 beta) -2) beta)) (+.f64 1/2 (*.f64 -1/2 (/.f64 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (+.f64 (neg.f64 beta) -2) beta)) (pow.f64 (-.f64 (+.f64 (neg.f64 beta) -2) beta) 2)) (pow.f64 (-.f64 (+.f64 (neg.f64 beta) -2) beta) 2)))))
(+.f64 (*.f64 -1 (+.f64 1/2 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2)) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2))))) (+.f64 (*.f64 -1 (/.f64 alpha (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))) (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -2 (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 (+.f64 beta 2) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2)) (*.f64 (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2) (+.f64 beta 2)))) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2))) (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2)) (+.f64 1/2 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2)) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2))))) (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))))) 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))
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1
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1
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1
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(fma.f64 -2 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha) 1)
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1
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(+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) 1))
(+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))
(+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
(fma.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)
(+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
(fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) -1)
(+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) -1)
(+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
(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)
(+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))) 1)
(/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 1 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)))
(/.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 2) (/.f64 1 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))
(/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) (/.f64 1 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))
(pow.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 2)
(*.f64 (+.f64 1 (neg.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (/.f64 1 (+.f64 1 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))))
(/.f64 (*.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))
(/.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)) 2)) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) 2)) (/.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))))
(/.f64 (/.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))) (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) 2))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1))) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))) (/.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))))
(/.f64 (/.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))) (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) 2) 1) (/.f64 (cbrt.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 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) 2) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)) 2)) (/.f64 1 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2) (/.f64 1 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) 2))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2) (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) 2)) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) 2) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1))) (/.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2) (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))) (/.f64 (cbrt.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) 1) (/.f64 (sqrt.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 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)) 2)) (/.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) 2)) (/.f64 (sqrt.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))))
(pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) -1)
(/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(pow.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 1)
(/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 3)
(/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(pow.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 3) 1/3)
(/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(pow.f64 (/.f64 1 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 2)
(pow.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 2)
(neg.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 1 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))))
(/.f64 (neg.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))
(sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 2)))
(sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)))
(log.f64 (exp.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))
(/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))))
(/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 3))
(/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) 3) (pow.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3) (pow.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))
(/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))
(/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 1))
(/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))
(/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) 1)
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)
(*.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
(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))) 4)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4)))
(*.f64 (pow.f64 (-.f64 beta alpha) 2) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)
(/.f64 1 (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))))
(/.f64 1 (/.f64 (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (-.f64 beta alpha)) (-.f64 beta alpha)))
(/.f64 (-.f64 beta alpha) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))))
(/.f64 (-.f64 beta alpha) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (-.f64 beta alpha)))
(/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)))
(/.f64 (-.f64 beta alpha) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (-.f64 beta alpha)))
(/.f64 (pow.f64 (-.f64 beta alpha) 2) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))
(/.f64 (neg.f64 (-.f64 beta alpha)) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) (neg.f64 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (neg.f64 (pow.f64 (-.f64 beta alpha) 2)) (neg.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))
(/.f64 (*.f64 (neg.f64 (-.f64 beta alpha)) (neg.f64 (-.f64 beta alpha))) (*.f64 (neg.f64 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (pow.f64 (-.f64 beta alpha) 2) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))
(/.f64 (*.f64 (-.f64 beta alpha) 1) (*.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))))
(/.f64 (-.f64 beta alpha) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (-.f64 beta alpha)))
(/.f64 (*.f64 (-.f64 beta alpha) (neg.f64 (-.f64 beta alpha))) (*.f64 (+.f64 beta (+.f64 alpha 2)) (neg.f64 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (neg.f64 (pow.f64 (-.f64 beta alpha) 2)) (neg.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))
(/.f64 (*.f64 (neg.f64 (-.f64 beta alpha)) 1) (*.f64 (neg.f64 (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))))
(/.f64 (neg.f64 (pow.f64 (-.f64 beta alpha) 2)) (neg.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))
(/.f64 (*.f64 (neg.f64 (-.f64 beta alpha)) (-.f64 beta alpha)) (*.f64 (neg.f64 (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))))
(/.f64 (neg.f64 (pow.f64 (-.f64 beta alpha) 2)) (neg.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4))
(log.f64 (exp.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 6))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)
(exp.f64 (*.f64 2 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)
(exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 1))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)

eval1.1s (10.1%)

Compiler

Compiled 52984 to 38228 computations (27.8% saved)

prune221.0ms (2.1%)

Pruning

20 alts after pruning (15 fresh and 5 done)

PrunedKeptTotal
New89412906
Fresh538
Picked145
Done011
Total90020920
Accurracy
100.0%
Counts
920 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
30.1%
(/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) 2)
73.3%
(/.f64 (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) 2)
49.9%
(/.f64 (pow.f64 (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2) 2)
49.9%
(/.f64 (/.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)))) 2)
30.7%
(/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2)
26.1%
(/.f64 (/.f64 2 alpha) 2)
49.2%
(/.f64 (/.f64 1 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) -1))) 2)
82.7%
(/.f64 (/.f64 1 (+.f64 (*.f64 -1 (+.f64 1/2 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2)) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2))))) (*.f64 -1 (/.f64 alpha (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))))) 2)
73.4%
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (fma.f64 alpha (/.f64 1 (+.f64 beta (+.f64 alpha 2))) -1)) 2)
30.7%
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 (neg.f64 beta) -2) alpha)) 2)
74.2%
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
25.2%
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
73.6%
(/.f64 (-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 2)
27.9%
(/.f64 (-.f64 2 (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta)) 2)
49.8%
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
47.1%
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
73.6%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
70.8%
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
25.7%
(/.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) 2)
35.3%
(/.f64 2 2)
30.1%
(/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) 2)
73.3%
(/.f64 (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) 2)
49.9%
(/.f64 (pow.f64 (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2) 2)
49.9%
(/.f64 (/.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)))) 2)
30.7%
(/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2)
26.1%
(/.f64 (/.f64 2 alpha) 2)
49.2%
(/.f64 (/.f64 1 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) -1))) 2)
82.7%
(/.f64 (/.f64 1 (+.f64 (*.f64 -1 (+.f64 1/2 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2)) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2))))) (*.f64 -1 (/.f64 alpha (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))))) 2)
73.4%
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (fma.f64 alpha (/.f64 1 (+.f64 beta (+.f64 alpha 2))) -1)) 2)
30.7%
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 (neg.f64 beta) -2) alpha)) 2)
74.2%
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
25.2%
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
73.6%
(/.f64 (-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 2)
27.9%
(/.f64 (-.f64 2 (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta)) 2)
49.8%
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
47.1%
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
73.6%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
70.8%
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
25.7%
(/.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) 2)
35.3%
(/.f64 2 2)
Compiler

Compiled 1360 to 1028 computations (24.4% saved)

localize959.0ms (8.9%)

Local Accuracy

Found 11 expressions with local accuracy:

NewAccuracyProgram
99.9%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) -1))
99.9%
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
76.6%
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)
50.3%
(+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) -1)
100.0%
(/.f64 (+.f64 (neg.f64 beta) -2) alpha)
100.0%
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 (neg.f64 beta) -2) alpha))
100.0%
(/.f64 (+.f64 2 (*.f64 beta 2)) alpha)
100.0%
(-.f64 (*.f64 -1 beta) (+.f64 beta 2))
100.0%
(/.f64 1 (+.f64 (*.f64 -1 (+.f64 1/2 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2)) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2))))) (*.f64 -1 (/.f64 alpha (-.f64 (*.f64 -1 beta) (+.f64 beta 2))))))
100.0%
(+.f64 1/2 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2)) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2))))
83.3%
(/.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2)) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2))
Compiler

Compiled 682 to 480 computations (29.6% saved)

series56.0ms (0.5%)

Counts
10 → 204
Calls

51 calls:

TimeVariablePointExpression
8.0ms
beta
@inf
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) -1))
5.0ms
alpha
@0
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) -1))
4.0ms
alpha
@inf
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) -1))
4.0ms
beta
@0
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) -1))
3.0ms
alpha
@-inf
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) -1))

rewrite131.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
1062×add-sqr-sqrt
1042×pow1
988×add-exp-log
988×add-cbrt-cube
988×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042560
11045560
Stop Event
node limit
Counts
10 → 110
Calls
Call 1
Inputs
(/.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2)) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2))
(+.f64 1/2 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2)) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2))))
(/.f64 1 (+.f64 (*.f64 -1 (+.f64 1/2 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2)) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2))))) (*.f64 -1 (/.f64 alpha (-.f64 (*.f64 -1 beta) (+.f64 beta 2))))))
(-.f64 (*.f64 -1 beta) (+.f64 beta 2))
(/.f64 (+.f64 2 (*.f64 beta 2)) alpha)
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 (neg.f64 beta) -2) alpha))
(/.f64 (+.f64 (neg.f64 beta) -2) alpha)
(+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) -1)
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) -1))
Outputs
(*.f64 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) (+.f64 beta 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2)) (/.f64 1 (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2)))
(*.f64 1 (/.f64 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) (+.f64 beta 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2)) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2)))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) (+.f64 beta 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2)) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (cbrt.f64 (/.f64 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) (+.f64 beta 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2)) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2)))) (cbrt.f64 (/.f64 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) (+.f64 beta 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2)) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) (+.f64 beta 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2)) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (sqrt.f64 (/.f64 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) (+.f64 beta 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2)) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))))
(pow.f64 (/.f64 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) (+.f64 beta 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2)) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2)) 1)
(log.f64 (exp.f64 (/.f64 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) (+.f64 beta 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2)) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) (+.f64 beta 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2)) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2)) (/.f64 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) (+.f64 beta 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2)) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (/.f64 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) (+.f64 beta 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2)) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) (+.f64 beta 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2)) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))))
(exp.f64 (log.f64 (/.f64 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) (+.f64 beta 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2)) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) (+.f64 beta 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2)) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))))
(*.f64 1 (+.f64 1/2 (/.f64 (*.f64 -1/2 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) (+.f64 beta 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 1/2 (/.f64 (*.f64 -1/2 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) (+.f64 beta 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2)))) (cbrt.f64 (+.f64 1/2 (/.f64 (*.f64 -1/2 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) (+.f64 beta 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))))) (cbrt.f64 (+.f64 1/2 (/.f64 (*.f64 -1/2 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) (+.f64 beta 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2)))))
(*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 (*.f64 -1/2 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) (+.f64 beta 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2)))) (sqrt.f64 (+.f64 1/2 (/.f64 (*.f64 -1/2 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) (+.f64 beta 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2)))))
(/.f64 (+.f64 1/8 (pow.f64 (/.f64 (*.f64 -1/2 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) (+.f64 beta 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2)) 3)) (+.f64 1/4 (-.f64 (*.f64 (/.f64 (*.f64 -1/2 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) (+.f64 beta 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2)) (/.f64 (*.f64 -1/2 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) (+.f64 beta 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (*.f64 1/2 (/.f64 (*.f64 -1/2 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) (+.f64 beta 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))))))
(/.f64 (-.f64 1/4 (*.f64 (/.f64 (*.f64 -1/2 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) (+.f64 beta 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2)) (/.f64 (*.f64 -1/2 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) (+.f64 beta 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2)))) (-.f64 1/2 (/.f64 (*.f64 -1/2 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) (+.f64 beta 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))))
(pow.f64 (+.f64 1/2 (/.f64 (*.f64 -1/2 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) (+.f64 beta 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) 1)
(log.f64 (exp.f64 (+.f64 1/2 (/.f64 (*.f64 -1/2 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) (+.f64 beta 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2)))))
(cbrt.f64 (*.f64 (*.f64 (+.f64 1/2 (/.f64 (*.f64 -1/2 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) (+.f64 beta 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (+.f64 1/2 (/.f64 (*.f64 -1/2 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) (+.f64 beta 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2)))) (+.f64 1/2 (/.f64 (*.f64 -1/2 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) (+.f64 beta 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2)))))
(expm1.f64 (log1p.f64 (+.f64 1/2 (/.f64 (*.f64 -1/2 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) (+.f64 beta 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2)))))
(exp.f64 (log.f64 (+.f64 1/2 (/.f64 (*.f64 -1/2 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) (+.f64 beta 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2)))))
(log1p.f64 (expm1.f64 (+.f64 1/2 (/.f64 (*.f64 -1/2 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) (+.f64 beta 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2)))))
(*.f64 1 (/.f64 1 (*.f64 -1 (+.f64 (+.f64 1/2 (/.f64 (*.f64 -1/2 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) (+.f64 beta 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (/.f64 alpha (-.f64 (neg.f64 beta) (+.f64 beta 2)))))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 -1 (+.f64 (+.f64 1/2 (/.f64 (*.f64 -1/2 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) (+.f64 beta 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (/.f64 alpha (-.f64 (neg.f64 beta) (+.f64 beta 2))))))) (cbrt.f64 (/.f64 1 (*.f64 -1 (+.f64 (+.f64 1/2 (/.f64 (*.f64 -1/2 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) (+.f64 beta 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (/.f64 alpha (-.f64 (neg.f64 beta) (+.f64 beta 2)))))))) (cbrt.f64 (/.f64 1 (*.f64 -1 (+.f64 (+.f64 1/2 (/.f64 (*.f64 -1/2 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) (+.f64 beta 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (/.f64 alpha (-.f64 (neg.f64 beta) (+.f64 beta 2))))))))
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 -1 (+.f64 (+.f64 1/2 (/.f64 (*.f64 -1/2 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) (+.f64 beta 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (/.f64 alpha (-.f64 (neg.f64 beta) (+.f64 beta 2))))))) (sqrt.f64 (/.f64 1 (*.f64 -1 (+.f64 (+.f64 1/2 (/.f64 (*.f64 -1/2 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) (+.f64 beta 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (/.f64 alpha (-.f64 (neg.f64 beta) (+.f64 beta 2))))))))
(pow.f64 (*.f64 -1 (+.f64 (+.f64 1/2 (/.f64 (*.f64 -1/2 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) (+.f64 beta 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (/.f64 alpha (-.f64 (neg.f64 beta) (+.f64 beta 2))))) -1)
(pow.f64 (/.f64 1 (*.f64 -1 (+.f64 (+.f64 1/2 (/.f64 (*.f64 -1/2 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) (+.f64 beta 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (/.f64 alpha (-.f64 (neg.f64 beta) (+.f64 beta 2)))))) 1)
(log.f64 (exp.f64 (/.f64 1 (*.f64 -1 (+.f64 (+.f64 1/2 (/.f64 (*.f64 -1/2 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) (+.f64 beta 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (/.f64 alpha (-.f64 (neg.f64 beta) (+.f64 beta 2))))))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 1 (*.f64 -1 (+.f64 (+.f64 1/2 (/.f64 (*.f64 -1/2 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) (+.f64 beta 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (/.f64 alpha (-.f64 (neg.f64 beta) (+.f64 beta 2)))))) (/.f64 1 (*.f64 -1 (+.f64 (+.f64 1/2 (/.f64 (*.f64 -1/2 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) (+.f64 beta 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (/.f64 alpha (-.f64 (neg.f64 beta) (+.f64 beta 2))))))) (/.f64 1 (*.f64 -1 (+.f64 (+.f64 1/2 (/.f64 (*.f64 -1/2 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) (+.f64 beta 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (/.f64 alpha (-.f64 (neg.f64 beta) (+.f64 beta 2))))))))
(expm1.f64 (log1p.f64 (/.f64 1 (*.f64 -1 (+.f64 (+.f64 1/2 (/.f64 (*.f64 -1/2 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) (+.f64 beta 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (/.f64 alpha (-.f64 (neg.f64 beta) (+.f64 beta 2))))))))
(exp.f64 (log.f64 (/.f64 1 (*.f64 -1 (+.f64 (+.f64 1/2 (/.f64 (*.f64 -1/2 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) (+.f64 beta 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (/.f64 alpha (-.f64 (neg.f64 beta) (+.f64 beta 2))))))))
(log1p.f64 (expm1.f64 (/.f64 1 (*.f64 -1 (+.f64 (+.f64 1/2 (/.f64 (*.f64 -1/2 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) (+.f64 beta 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (/.f64 alpha (-.f64 (neg.f64 beta) (+.f64 beta 2))))))))
(+.f64 (neg.f64 beta) (neg.f64 (+.f64 beta 2)))
(*.f64 1 (-.f64 (neg.f64 beta) (+.f64 beta 2)))
(*.f64 (*.f64 (cbrt.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2))) (cbrt.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)))) (cbrt.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2))))
(*.f64 (sqrt.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2))) (sqrt.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2))))
(/.f64 (-.f64 (pow.f64 (neg.f64 beta) 3) (pow.f64 (+.f64 beta 2) 3)) (+.f64 (*.f64 (neg.f64 beta) (neg.f64 beta)) (+.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 2)) (*.f64 (neg.f64 beta) (+.f64 beta 2)))))
(/.f64 (-.f64 (*.f64 (neg.f64 beta) (neg.f64 beta)) (*.f64 (+.f64 beta 2) (+.f64 beta 2))) (+.f64 (neg.f64 beta) (+.f64 beta 2)))
(pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 1)
(log.f64 (exp.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2))))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2) (-.f64 (neg.f64 beta) (+.f64 beta 2))))
(expm1.f64 (log1p.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2))))
(exp.f64 (log.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2))))
(log1p.f64 (expm1.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2))))
(fma.f64 -1 beta (neg.f64 (+.f64 beta 2)))
(*.f64 1 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha))
(*.f64 (+.f64 2 (*.f64 beta 2)) (/.f64 1 alpha))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha)) (cbrt.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha))) (cbrt.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha)) (sqrt.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha)))
(pow.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 1)
(log.f64 (exp.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha)))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) (/.f64 (+.f64 2 (*.f64 beta 2)) alpha)) (/.f64 (+.f64 2 (*.f64 beta 2)) alpha)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha)))
(exp.f64 (log.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha)))
(+.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (neg.f64 (/.f64 (+.f64 -2 (neg.f64 beta)) alpha)))
(*.f64 1 (-.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (/.f64 (+.f64 -2 (neg.f64 beta)) alpha)))
(*.f64 (*.f64 (cbrt.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (/.f64 (+.f64 -2 (neg.f64 beta)) alpha))) (cbrt.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (/.f64 (+.f64 -2 (neg.f64 beta)) alpha)))) (cbrt.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (/.f64 (+.f64 -2 (neg.f64 beta)) alpha))))
(*.f64 (sqrt.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (/.f64 (+.f64 -2 (neg.f64 beta)) alpha))) (sqrt.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (/.f64 (+.f64 -2 (neg.f64 beta)) alpha))))
(/.f64 (-.f64 (*.f64 beta alpha) (*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 -2 (neg.f64 beta)))) (*.f64 (+.f64 beta (+.f64 2 alpha)) alpha))
(/.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) 3) (pow.f64 (/.f64 (+.f64 -2 (neg.f64 beta)) alpha) 3)) (+.f64 (*.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (/.f64 beta (+.f64 beta (+.f64 2 alpha)))) (+.f64 (*.f64 (/.f64 (+.f64 -2 (neg.f64 beta)) alpha) (/.f64 (+.f64 -2 (neg.f64 beta)) alpha)) (*.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (/.f64 (+.f64 -2 (neg.f64 beta)) alpha)))))
(/.f64 (-.f64 (*.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (/.f64 beta (+.f64 beta (+.f64 2 alpha)))) (*.f64 (/.f64 (+.f64 -2 (neg.f64 beta)) alpha) (/.f64 (+.f64 -2 (neg.f64 beta)) alpha))) (+.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (/.f64 (+.f64 -2 (neg.f64 beta)) alpha)))
(pow.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (/.f64 (+.f64 -2 (neg.f64 beta)) alpha)) 1)
(log.f64 (exp.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (/.f64 (+.f64 -2 (neg.f64 beta)) alpha))))
(cbrt.f64 (*.f64 (*.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (/.f64 (+.f64 -2 (neg.f64 beta)) alpha)) (-.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (/.f64 (+.f64 -2 (neg.f64 beta)) alpha))) (-.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (/.f64 (+.f64 -2 (neg.f64 beta)) alpha))))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (/.f64 (+.f64 -2 (neg.f64 beta)) alpha))))
(exp.f64 (log.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (/.f64 (+.f64 -2 (neg.f64 beta)) alpha))))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (/.f64 (+.f64 -2 (neg.f64 beta)) alpha))))
(*.f64 1 (/.f64 (+.f64 -2 (neg.f64 beta)) alpha))
(*.f64 (+.f64 -2 (neg.f64 beta)) (/.f64 1 alpha))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 -2 (neg.f64 beta)) alpha)) (cbrt.f64 (/.f64 (+.f64 -2 (neg.f64 beta)) alpha))) (cbrt.f64 (/.f64 (+.f64 -2 (neg.f64 beta)) alpha)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 -2 (neg.f64 beta)) alpha)) (sqrt.f64 (/.f64 (+.f64 -2 (neg.f64 beta)) alpha)))
(pow.f64 (/.f64 (+.f64 -2 (neg.f64 beta)) alpha) 1)
(log.f64 (exp.f64 (/.f64 (+.f64 -2 (neg.f64 beta)) alpha)))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (+.f64 -2 (neg.f64 beta)) alpha) (/.f64 (+.f64 -2 (neg.f64 beta)) alpha)) (/.f64 (+.f64 -2 (neg.f64 beta)) alpha)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 -2 (neg.f64 beta)) alpha)))
(exp.f64 (log.f64 (/.f64 (+.f64 -2 (neg.f64 beta)) alpha)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 -2 (neg.f64 beta)) alpha)))
(*.f64 1 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)))
(*.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2))) (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)))) (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2))))
(*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2))) (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2))))
(*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 1) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 1))
(/.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2) 3) -1) (+.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)) (-.f64 1 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2) -1))))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)) 1) (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2) -1))
(pow.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)) 1)
(log.f64 (exp.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2))))
(cbrt.f64 (*.f64 (*.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)) (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2))) (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2))))
(expm1.f64 (log1p.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2))))
(exp.f64 (log.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2))))
(log1p.f64 (expm1.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2))))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) -1)
(/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta (+.f64 2 alpha))))
(/.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) (-.f64 beta alpha)) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (*.f64 (-.f64 beta alpha) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) (+.f64 beta (+.f64 2 alpha)))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)
(pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2) 1)
(log.f64 (exp.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)))
(cbrt.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)))
(exp.f64 (log.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)))
(*.f64 1 (/.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2))))
(*.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) (/.f64 1 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)))) (cbrt.f64 (/.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2))))) (cbrt.f64 (/.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)))) (sqrt.f64 (/.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)))))
(pow.f64 (/.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2))) 1)
(log.f64 (exp.f64 (/.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2))) (/.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)))) (/.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)))))
(exp.f64 (log.f64 (/.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)))))

simplify361.0ms (3.4%)

Algorithm
egg-herbie
Rules
1802×fma-def
1080×times-frac
636×sub-neg
588×+-commutative
566×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0115447686
1394643214
Stop Event
node limit
Counts
314 → 506
Calls
Call 1
Inputs
3
(+.f64 (*.f64 -1 beta) 3)
(+.f64 (*.f64 -1 beta) (+.f64 3 (pow.f64 beta 2)))
(+.f64 (*.f64 -1 beta) (+.f64 3 (+.f64 (*.f64 -1 (pow.f64 beta 3)) (pow.f64 beta 2))))
2
(+.f64 (/.f64 1 beta) 2)
(-.f64 (+.f64 (/.f64 1 beta) 2) (/.f64 1 (pow.f64 beta 2)))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 2 (/.f64 1 (pow.f64 beta 3)))) (/.f64 1 (pow.f64 beta 2)))
2
(+.f64 (/.f64 1 beta) 2)
(-.f64 (+.f64 (/.f64 1 beta) 2) (/.f64 1 (pow.f64 beta 2)))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 2 (/.f64 1 (pow.f64 beta 3)))) (/.f64 1 (pow.f64 beta 2)))
-1
(-.f64 (*.f64 1/2 beta) 1)
(-.f64 (+.f64 (*.f64 1/2 beta) (*.f64 -1/2 (pow.f64 beta 2))) 1)
(-.f64 (+.f64 (*.f64 1/2 beta) (+.f64 (*.f64 1/2 (pow.f64 beta 3)) (*.f64 -1/2 (pow.f64 beta 2)))) 1)
-1/2
(neg.f64 (+.f64 (*.f64 1/2 (/.f64 1 beta)) 1/2))
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 beta 2))) (+.f64 (*.f64 1/2 (/.f64 1 beta)) 1/2))
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 beta 2))) (+.f64 (*.f64 1/2 (/.f64 1 beta)) (+.f64 1/2 (*.f64 1/2 (/.f64 1 (pow.f64 beta 3))))))
-1/2
(neg.f64 (+.f64 (*.f64 1/2 (/.f64 1 beta)) 1/2))
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 beta 2))) (+.f64 (*.f64 1/2 (/.f64 1 beta)) 1/2))
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 beta 2))) (+.f64 (*.f64 1/2 (/.f64 1 beta)) (+.f64 1/2 (*.f64 1/2 (/.f64 1 (pow.f64 beta 3))))))
(/.f64 1 (+.f64 1 (*.f64 1/2 alpha)))
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2
(+.f64 2 (*.f64 -4 (/.f64 (+.f64 1/2 (*.f64 1/2 alpha)) beta)))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 (+.f64 1/2 (*.f64 1/2 alpha)) beta)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -4 (+.f64 1/2 (*.f64 1/2 alpha))) (*.f64 -8 (pow.f64 (+.f64 1/2 (*.f64 1/2 alpha)) 2))) (pow.f64 beta 2)))))
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2
(+.f64 2 (*.f64 4 (/.f64 (-.f64 (*.f64 -1/2 alpha) 1/2) beta)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 4 (-.f64 (*.f64 -1/2 alpha) 1/2)) (*.f64 -8 (pow.f64 (-.f64 (*.f64 -1/2 alpha) 1/2) 2))) (pow.f64 beta 2))) (+.f64 2 (*.f64 4 (/.f64 (-.f64 (*.f64 -1/2 alpha) 1/2) beta))))
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(/.f64 -1 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2) (*.f64 -2 (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (+.f64 beta 2)))) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2))) 1/2))
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(-.f64 (+.f64 (/.f64 (pow.f64 alpha 3) (*.f64 (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2) (*.f64 -2 (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (+.f64 beta 2)))) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2))) 1/2) 4) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (*.f64 (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2) (*.f64 -2 (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (+.f64 beta 2)))) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2))) 1/2) 3) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2)))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2) (*.f64 -2 (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (+.f64 beta 2)))) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2))) 1/2) 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))))) (/.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2) (*.f64 -2 (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (+.f64 beta 2)))) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2))) 1/2)))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha))
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(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha))
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-2
(-.f64 (*.f64 -2 beta) 2)
(-.f64 (*.f64 -2 beta) 2)
(-.f64 (*.f64 -2 beta) 2)
(*.f64 -2 beta)
(-.f64 (*.f64 -2 beta) 2)
(-.f64 (*.f64 -2 beta) 2)
(-.f64 (*.f64 -2 beta) 2)
(*.f64 -2 beta)
(-.f64 (*.f64 -2 beta) 2)
(-.f64 (*.f64 -2 beta) 2)
(-.f64 (*.f64 -2 beta) 2)
(/.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))
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(*.f64 2 (/.f64 beta alpha))
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(+.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 2 alpha)
(+.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 alpha))) (*.f64 2 (/.f64 1 alpha)))
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(/.f64 beta alpha)
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 alpha)) (/.f64 beta alpha)))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 beta alpha))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (/.f64 beta alpha) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))))
(/.f64 beta alpha)
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 alpha)) (/.f64 beta alpha)))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 beta alpha))))
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(/.f64 (+.f64 beta 2) alpha)
(+.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta (+.f64 beta 2)) (*.f64 2 (/.f64 1 alpha))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta (+.f64 beta 2)) (*.f64 2 (/.f64 1 alpha)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 beta 2) 3)) (+.f64 (/.f64 beta (+.f64 beta 2)) (*.f64 2 (/.f64 1 alpha))))))
(/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)
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(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha))
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(*.f64 1 (+.f64 1/2 (/.f64 (*.f64 -1/2 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) (+.f64 beta 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))))
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(/.f64 (+.f64 1/8 (pow.f64 (/.f64 (*.f64 -1/2 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) (+.f64 beta 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2)) 3)) (+.f64 1/4 (-.f64 (*.f64 (/.f64 (*.f64 -1/2 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) (+.f64 beta 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2)) (/.f64 (*.f64 -1/2 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) (+.f64 beta 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (*.f64 1/2 (/.f64 (*.f64 -1/2 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) (+.f64 beta 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))))))
(/.f64 (-.f64 1/4 (*.f64 (/.f64 (*.f64 -1/2 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) (+.f64 beta 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2)) (/.f64 (*.f64 -1/2 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) (+.f64 beta 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2)))) (-.f64 1/2 (/.f64 (*.f64 -1/2 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) (+.f64 beta 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))))
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(*.f64 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 -1 (+.f64 (+.f64 1/2 (/.f64 (*.f64 -1/2 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) (+.f64 beta 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (/.f64 alpha (-.f64 (neg.f64 beta) (+.f64 beta 2))))))) (cbrt.f64 (/.f64 1 (*.f64 -1 (+.f64 (+.f64 1/2 (/.f64 (*.f64 -1/2 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) (+.f64 beta 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (/.f64 alpha (-.f64 (neg.f64 beta) (+.f64 beta 2)))))))) (cbrt.f64 (/.f64 1 (*.f64 -1 (+.f64 (+.f64 1/2 (/.f64 (*.f64 -1/2 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) (+.f64 beta 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (/.f64 alpha (-.f64 (neg.f64 beta) (+.f64 beta 2))))))))
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 -1 (+.f64 (+.f64 1/2 (/.f64 (*.f64 -1/2 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) (+.f64 beta 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (/.f64 alpha (-.f64 (neg.f64 beta) (+.f64 beta 2))))))) (sqrt.f64 (/.f64 1 (*.f64 -1 (+.f64 (+.f64 1/2 (/.f64 (*.f64 -1/2 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) (+.f64 beta 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (/.f64 alpha (-.f64 (neg.f64 beta) (+.f64 beta 2))))))))
(pow.f64 (*.f64 -1 (+.f64 (+.f64 1/2 (/.f64 (*.f64 -1/2 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) (+.f64 beta 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (/.f64 alpha (-.f64 (neg.f64 beta) (+.f64 beta 2))))) -1)
(pow.f64 (/.f64 1 (*.f64 -1 (+.f64 (+.f64 1/2 (/.f64 (*.f64 -1/2 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) (+.f64 beta 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (/.f64 alpha (-.f64 (neg.f64 beta) (+.f64 beta 2)))))) 1)
(log.f64 (exp.f64 (/.f64 1 (*.f64 -1 (+.f64 (+.f64 1/2 (/.f64 (*.f64 -1/2 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) (+.f64 beta 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (/.f64 alpha (-.f64 (neg.f64 beta) (+.f64 beta 2))))))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 1 (*.f64 -1 (+.f64 (+.f64 1/2 (/.f64 (*.f64 -1/2 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) (+.f64 beta 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (/.f64 alpha (-.f64 (neg.f64 beta) (+.f64 beta 2)))))) (/.f64 1 (*.f64 -1 (+.f64 (+.f64 1/2 (/.f64 (*.f64 -1/2 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) (+.f64 beta 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (/.f64 alpha (-.f64 (neg.f64 beta) (+.f64 beta 2))))))) (/.f64 1 (*.f64 -1 (+.f64 (+.f64 1/2 (/.f64 (*.f64 -1/2 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) (+.f64 beta 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (/.f64 alpha (-.f64 (neg.f64 beta) (+.f64 beta 2))))))))
(expm1.f64 (log1p.f64 (/.f64 1 (*.f64 -1 (+.f64 (+.f64 1/2 (/.f64 (*.f64 -1/2 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) (+.f64 beta 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (/.f64 alpha (-.f64 (neg.f64 beta) (+.f64 beta 2))))))))
(exp.f64 (log.f64 (/.f64 1 (*.f64 -1 (+.f64 (+.f64 1/2 (/.f64 (*.f64 -1/2 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) (+.f64 beta 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (/.f64 alpha (-.f64 (neg.f64 beta) (+.f64 beta 2))))))))
(log1p.f64 (expm1.f64 (/.f64 1 (*.f64 -1 (+.f64 (+.f64 1/2 (/.f64 (*.f64 -1/2 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) (+.f64 beta 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (/.f64 alpha (-.f64 (neg.f64 beta) (+.f64 beta 2))))))))
(+.f64 (neg.f64 beta) (neg.f64 (+.f64 beta 2)))
(*.f64 1 (-.f64 (neg.f64 beta) (+.f64 beta 2)))
(*.f64 (*.f64 (cbrt.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2))) (cbrt.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)))) (cbrt.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2))))
(*.f64 (sqrt.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2))) (sqrt.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2))))
(/.f64 (-.f64 (pow.f64 (neg.f64 beta) 3) (pow.f64 (+.f64 beta 2) 3)) (+.f64 (*.f64 (neg.f64 beta) (neg.f64 beta)) (+.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 2)) (*.f64 (neg.f64 beta) (+.f64 beta 2)))))
(/.f64 (-.f64 (*.f64 (neg.f64 beta) (neg.f64 beta)) (*.f64 (+.f64 beta 2) (+.f64 beta 2))) (+.f64 (neg.f64 beta) (+.f64 beta 2)))
(pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 1)
(log.f64 (exp.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2))))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2) (-.f64 (neg.f64 beta) (+.f64 beta 2))))
(expm1.f64 (log1p.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2))))
(exp.f64 (log.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2))))
(log1p.f64 (expm1.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2))))
(fma.f64 -1 beta (neg.f64 (+.f64 beta 2)))
(*.f64 1 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha))
(*.f64 (+.f64 2 (*.f64 beta 2)) (/.f64 1 alpha))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha)) (cbrt.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha))) (cbrt.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha)) (sqrt.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha)))
(pow.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 1)
(log.f64 (exp.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha)))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) (/.f64 (+.f64 2 (*.f64 beta 2)) alpha)) (/.f64 (+.f64 2 (*.f64 beta 2)) alpha)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha)))
(exp.f64 (log.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha)))
(+.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (neg.f64 (/.f64 (+.f64 -2 (neg.f64 beta)) alpha)))
(*.f64 1 (-.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (/.f64 (+.f64 -2 (neg.f64 beta)) alpha)))
(*.f64 (*.f64 (cbrt.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (/.f64 (+.f64 -2 (neg.f64 beta)) alpha))) (cbrt.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (/.f64 (+.f64 -2 (neg.f64 beta)) alpha)))) (cbrt.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (/.f64 (+.f64 -2 (neg.f64 beta)) alpha))))
(*.f64 (sqrt.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (/.f64 (+.f64 -2 (neg.f64 beta)) alpha))) (sqrt.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (/.f64 (+.f64 -2 (neg.f64 beta)) alpha))))
(/.f64 (-.f64 (*.f64 beta alpha) (*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 -2 (neg.f64 beta)))) (*.f64 (+.f64 beta (+.f64 2 alpha)) alpha))
(/.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) 3) (pow.f64 (/.f64 (+.f64 -2 (neg.f64 beta)) alpha) 3)) (+.f64 (*.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (/.f64 beta (+.f64 beta (+.f64 2 alpha)))) (+.f64 (*.f64 (/.f64 (+.f64 -2 (neg.f64 beta)) alpha) (/.f64 (+.f64 -2 (neg.f64 beta)) alpha)) (*.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (/.f64 (+.f64 -2 (neg.f64 beta)) alpha)))))
(/.f64 (-.f64 (*.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (/.f64 beta (+.f64 beta (+.f64 2 alpha)))) (*.f64 (/.f64 (+.f64 -2 (neg.f64 beta)) alpha) (/.f64 (+.f64 -2 (neg.f64 beta)) alpha))) (+.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (/.f64 (+.f64 -2 (neg.f64 beta)) alpha)))
(pow.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (/.f64 (+.f64 -2 (neg.f64 beta)) alpha)) 1)
(log.f64 (exp.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (/.f64 (+.f64 -2 (neg.f64 beta)) alpha))))
(cbrt.f64 (*.f64 (*.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (/.f64 (+.f64 -2 (neg.f64 beta)) alpha)) (-.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (/.f64 (+.f64 -2 (neg.f64 beta)) alpha))) (-.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (/.f64 (+.f64 -2 (neg.f64 beta)) alpha))))
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(exp.f64 (log.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (/.f64 (+.f64 -2 (neg.f64 beta)) alpha))))
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(*.f64 1 (/.f64 (+.f64 -2 (neg.f64 beta)) alpha))
(*.f64 (+.f64 -2 (neg.f64 beta)) (/.f64 1 alpha))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 -2 (neg.f64 beta)) alpha)) (cbrt.f64 (/.f64 (+.f64 -2 (neg.f64 beta)) alpha))) (cbrt.f64 (/.f64 (+.f64 -2 (neg.f64 beta)) alpha)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 -2 (neg.f64 beta)) alpha)) (sqrt.f64 (/.f64 (+.f64 -2 (neg.f64 beta)) alpha)))
(pow.f64 (/.f64 (+.f64 -2 (neg.f64 beta)) alpha) 1)
(log.f64 (exp.f64 (/.f64 (+.f64 -2 (neg.f64 beta)) alpha)))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (+.f64 -2 (neg.f64 beta)) alpha) (/.f64 (+.f64 -2 (neg.f64 beta)) alpha)) (/.f64 (+.f64 -2 (neg.f64 beta)) alpha)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 -2 (neg.f64 beta)) alpha)))
(exp.f64 (log.f64 (/.f64 (+.f64 -2 (neg.f64 beta)) alpha)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 -2 (neg.f64 beta)) alpha)))
(*.f64 1 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)))
(*.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2))) (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)))) (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2))))
(*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2))) (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2))))
(*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 1) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 1))
(/.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2) 3) -1) (+.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)) (-.f64 1 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2) -1))))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)) 1) (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2) -1))
(pow.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)) 1)
(log.f64 (exp.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2))))
(cbrt.f64 (*.f64 (*.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)) (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2))) (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2))))
(expm1.f64 (log1p.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2))))
(exp.f64 (log.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2))))
(log1p.f64 (expm1.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2))))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) -1)
(/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta (+.f64 2 alpha))))
(/.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) (-.f64 beta alpha)) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (*.f64 (-.f64 beta alpha) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) (+.f64 beta (+.f64 2 alpha)))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)
(pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2) 1)
(log.f64 (exp.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)))
(cbrt.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)))
(exp.f64 (log.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)))
(*.f64 1 (/.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2))))
(*.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) (/.f64 1 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)))) (cbrt.f64 (/.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2))))) (cbrt.f64 (/.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)))) (sqrt.f64 (/.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)))))
(pow.f64 (/.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2))) 1)
(log.f64 (exp.f64 (/.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2))) (/.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)))) (/.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)))))
(exp.f64 (log.f64 (/.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)))))
Outputs
3
(+.f64 (*.f64 -1 beta) 3)
(fma.f64 -1 beta 3)
(-.f64 3 beta)
(+.f64 (*.f64 -1 beta) (+.f64 3 (pow.f64 beta 2)))
(+.f64 (fma.f64 -1 beta 3) (*.f64 beta beta))
(-.f64 (fma.f64 beta beta 3) beta)
(+.f64 (*.f64 -1 beta) (+.f64 3 (+.f64 (*.f64 -1 (pow.f64 beta 3)) (pow.f64 beta 2))))
(+.f64 (fma.f64 -1 beta 3) (fma.f64 -1 (pow.f64 beta 3) (*.f64 beta beta)))
(+.f64 (-.f64 3 beta) (-.f64 (*.f64 beta beta) (pow.f64 beta 3)))
2
(+.f64 (/.f64 1 beta) 2)
(+.f64 2 (/.f64 1 beta))
(-.f64 (+.f64 (/.f64 1 beta) 2) (/.f64 1 (pow.f64 beta 2)))
(+.f64 (/.f64 1 beta) (-.f64 2 (/.f64 1 (*.f64 beta beta))))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 2 (/.f64 1 (pow.f64 beta 3)))) (/.f64 1 (pow.f64 beta 2)))
(-.f64 (+.f64 (+.f64 2 (/.f64 1 beta)) (/.f64 1 (pow.f64 beta 3))) (/.f64 1 (*.f64 beta beta)))
2
(+.f64 (/.f64 1 beta) 2)
(+.f64 2 (/.f64 1 beta))
(-.f64 (+.f64 (/.f64 1 beta) 2) (/.f64 1 (pow.f64 beta 2)))
(+.f64 (/.f64 1 beta) (-.f64 2 (/.f64 1 (*.f64 beta beta))))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 2 (/.f64 1 (pow.f64 beta 3)))) (/.f64 1 (pow.f64 beta 2)))
(-.f64 (+.f64 (+.f64 2 (/.f64 1 beta)) (/.f64 1 (pow.f64 beta 3))) (/.f64 1 (*.f64 beta beta)))
-1
(-.f64 (*.f64 1/2 beta) 1)
(fma.f64 1/2 beta -1)
(fma.f64 beta 1/2 -1)
(-.f64 (+.f64 (*.f64 1/2 beta) (*.f64 -1/2 (pow.f64 beta 2))) 1)
(+.f64 (fma.f64 1/2 beta (*.f64 (*.f64 beta beta) -1/2)) -1)
(fma.f64 beta 1/2 (fma.f64 (*.f64 beta beta) -1/2 -1))
(-.f64 (+.f64 (*.f64 1/2 beta) (+.f64 (*.f64 1/2 (pow.f64 beta 3)) (*.f64 -1/2 (pow.f64 beta 2)))) 1)
(+.f64 (fma.f64 1/2 beta (fma.f64 1/2 (pow.f64 beta 3) (*.f64 (*.f64 beta beta) -1/2))) -1)
(+.f64 (fma.f64 beta 1/2 (fma.f64 (*.f64 beta beta) -1/2 (*.f64 (pow.f64 beta 3) 1/2))) -1)
-1/2
(neg.f64 (+.f64 (*.f64 1/2 (/.f64 1 beta)) 1/2))
(+.f64 (neg.f64 (/.f64 1/2 beta)) -1/2)
(+.f64 -1/2 (neg.f64 (/.f64 1/2 beta)))
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 beta 2))) (+.f64 (*.f64 1/2 (/.f64 1 beta)) 1/2))
(-.f64 (/.f64 1/2 (*.f64 beta beta)) (+.f64 1/2 (/.f64 1/2 beta)))
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 beta 2))) (+.f64 (*.f64 1/2 (/.f64 1 beta)) (+.f64 1/2 (*.f64 1/2 (/.f64 1 (pow.f64 beta 3))))))
(-.f64 (/.f64 1/2 (*.f64 beta beta)) (+.f64 (+.f64 1/2 (/.f64 1/2 beta)) (/.f64 1/2 (pow.f64 beta 3))))
-1/2
(neg.f64 (+.f64 (*.f64 1/2 (/.f64 1 beta)) 1/2))
(+.f64 (neg.f64 (/.f64 1/2 beta)) -1/2)
(+.f64 -1/2 (neg.f64 (/.f64 1/2 beta)))
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 beta 2))) (+.f64 (*.f64 1/2 (/.f64 1 beta)) 1/2))
(-.f64 (/.f64 1/2 (*.f64 beta beta)) (+.f64 1/2 (/.f64 1/2 beta)))
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 beta 2))) (+.f64 (*.f64 1/2 (/.f64 1 beta)) (+.f64 1/2 (*.f64 1/2 (/.f64 1 (pow.f64 beta 3))))))
(-.f64 (/.f64 1/2 (*.f64 beta beta)) (+.f64 (+.f64 1/2 (/.f64 1/2 beta)) (/.f64 1/2 (pow.f64 beta 3))))
(/.f64 1 (+.f64 1 (*.f64 1/2 alpha)))
(/.f64 1 (fma.f64 1/2 alpha 1))
(+.f64 (/.f64 1 (+.f64 1 (*.f64 1/2 alpha))) (*.f64 beta (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2))) (*.f64 -1/2 (/.f64 alpha (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2))))))
(+.f64 (/.f64 1 (+.f64 1 (*.f64 1/2 alpha))) (*.f64 beta (+.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2)) (/.f64 (*.f64 1/2 alpha) (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2)))))
(fma.f64 beta (+.f64 (/.f64 1/2 (pow.f64 (fma.f64 1/2 alpha 1) 2)) (/.f64 (*.f64 1/2 alpha) (pow.f64 (fma.f64 1/2 alpha 1) 2))) (/.f64 1 (fma.f64 1/2 alpha 1)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2))) (+.f64 (*.f64 1/2 (/.f64 alpha (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2))) (/.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2))) (*.f64 -1/2 (/.f64 alpha (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2)))) (-.f64 (*.f64 -1/2 alpha) 1/2)) (+.f64 1 (*.f64 1/2 alpha))))))) (+.f64 (/.f64 1 (+.f64 1 (*.f64 1/2 alpha))) (*.f64 beta (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2))) (*.f64 -1/2 (/.f64 alpha (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2)))))))
(fma.f64 -1 (*.f64 (*.f64 beta beta) (+.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2)) (fma.f64 1/2 (/.f64 alpha (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2)) (/.f64 (+.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2)) (/.f64 (*.f64 1/2 alpha) (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2))) (/.f64 (+.f64 1 (*.f64 1/2 alpha)) (fma.f64 -1/2 alpha -1/2)))))) (+.f64 (/.f64 1 (+.f64 1 (*.f64 1/2 alpha))) (*.f64 beta (+.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2)) (/.f64 (*.f64 1/2 alpha) (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2))))))
(-.f64 (fma.f64 beta (+.f64 (/.f64 1/2 (pow.f64 (fma.f64 1/2 alpha 1) 2)) (/.f64 (*.f64 1/2 alpha) (pow.f64 (fma.f64 1/2 alpha 1) 2))) (/.f64 1 (fma.f64 1/2 alpha 1))) (*.f64 (*.f64 beta beta) (+.f64 (/.f64 1/2 (pow.f64 (fma.f64 1/2 alpha 1) 2)) (fma.f64 1/2 (/.f64 alpha (pow.f64 (fma.f64 1/2 alpha 1) 2)) (/.f64 (+.f64 (/.f64 1/2 (pow.f64 (fma.f64 1/2 alpha 1) 2)) (/.f64 (*.f64 1/2 alpha) (pow.f64 (fma.f64 1/2 alpha 1) 2))) (/.f64 (fma.f64 1/2 alpha 1) (fma.f64 -1/2 alpha -1/2)))))))
(+.f64 (*.f64 (pow.f64 beta 3) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2))) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2))) (*.f64 -1/2 (/.f64 alpha (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2)))) (+.f64 1/2 (*.f64 1/2 alpha))) (+.f64 1 (*.f64 1/2 alpha))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2))) (+.f64 (*.f64 1/2 (/.f64 alpha (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2))) (/.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2))) (*.f64 -1/2 (/.f64 alpha (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2)))) (-.f64 (*.f64 -1/2 alpha) 1/2)) (+.f64 1 (*.f64 1/2 alpha))))) (-.f64 (*.f64 -1/2 alpha) 1/2)) (+.f64 1 (*.f64 1/2 alpha)))) (*.f64 -1/2 (/.f64 alpha (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2))) (+.f64 (*.f64 1/2 (/.f64 alpha (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2))) (/.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2))) (*.f64 -1/2 (/.f64 alpha (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2)))) (-.f64 (*.f64 -1/2 alpha) 1/2)) (+.f64 1 (*.f64 1/2 alpha))))))) (+.f64 (/.f64 1 (+.f64 1 (*.f64 1/2 alpha))) (*.f64 beta (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2))) (*.f64 -1/2 (/.f64 alpha (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2))))))))
(fma.f64 (pow.f64 beta 3) (-.f64 (-.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2)) (/.f64 (+.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2)) (/.f64 (*.f64 1/2 alpha) (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2))) (/.f64 (+.f64 1 (*.f64 1/2 alpha)) (+.f64 1/2 (*.f64 1/2 alpha))))) (fma.f64 -1 (/.f64 (+.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2)) (fma.f64 1/2 (/.f64 alpha (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2)) (/.f64 (+.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2)) (/.f64 (*.f64 1/2 alpha) (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2))) (/.f64 (+.f64 1 (*.f64 1/2 alpha)) (fma.f64 -1/2 alpha -1/2))))) (/.f64 (+.f64 1 (*.f64 1/2 alpha)) (fma.f64 -1/2 alpha -1/2))) (/.f64 (*.f64 -1/2 alpha) (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2)))) (fma.f64 -1 (*.f64 (*.f64 beta beta) (+.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2)) (fma.f64 1/2 (/.f64 alpha (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2)) (/.f64 (+.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2)) (/.f64 (*.f64 1/2 alpha) (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2))) (/.f64 (+.f64 1 (*.f64 1/2 alpha)) (fma.f64 -1/2 alpha -1/2)))))) (+.f64 (/.f64 1 (+.f64 1 (*.f64 1/2 alpha))) (*.f64 beta (+.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2)) (/.f64 (*.f64 1/2 alpha) (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2)))))))
(fma.f64 (pow.f64 beta 3) (-.f64 (-.f64 (/.f64 1/2 (pow.f64 (fma.f64 1/2 alpha 1) 2)) (/.f64 (+.f64 (/.f64 1/2 (pow.f64 (fma.f64 1/2 alpha 1) 2)) (/.f64 (*.f64 1/2 alpha) (pow.f64 (fma.f64 1/2 alpha 1) 2))) (/.f64 (fma.f64 1/2 alpha 1) (fma.f64 1/2 alpha 1/2)))) (-.f64 (/.f64 (*.f64 -1/2 alpha) (pow.f64 (fma.f64 1/2 alpha 1) 2)) (/.f64 (+.f64 (/.f64 1/2 (pow.f64 (fma.f64 1/2 alpha 1) 2)) (fma.f64 1/2 (/.f64 alpha (pow.f64 (fma.f64 1/2 alpha 1) 2)) (/.f64 (+.f64 (/.f64 1/2 (pow.f64 (fma.f64 1/2 alpha 1) 2)) (/.f64 (*.f64 1/2 alpha) (pow.f64 (fma.f64 1/2 alpha 1) 2))) (/.f64 (fma.f64 1/2 alpha 1) (fma.f64 -1/2 alpha -1/2))))) (/.f64 (fma.f64 1/2 alpha 1) (fma.f64 -1/2 alpha -1/2))))) (-.f64 (fma.f64 beta (+.f64 (/.f64 1/2 (pow.f64 (fma.f64 1/2 alpha 1) 2)) (/.f64 (*.f64 1/2 alpha) (pow.f64 (fma.f64 1/2 alpha 1) 2))) (/.f64 1 (fma.f64 1/2 alpha 1))) (*.f64 (*.f64 beta beta) (+.f64 (/.f64 1/2 (pow.f64 (fma.f64 1/2 alpha 1) 2)) (fma.f64 1/2 (/.f64 alpha (pow.f64 (fma.f64 1/2 alpha 1) 2)) (/.f64 (+.f64 (/.f64 1/2 (pow.f64 (fma.f64 1/2 alpha 1) 2)) (/.f64 (*.f64 1/2 alpha) (pow.f64 (fma.f64 1/2 alpha 1) 2))) (/.f64 (fma.f64 1/2 alpha 1) (fma.f64 -1/2 alpha -1/2))))))))
2
(+.f64 2 (*.f64 -4 (/.f64 (+.f64 1/2 (*.f64 1/2 alpha)) beta)))
(+.f64 2 (/.f64 (+.f64 -2 (*.f64 -4 (*.f64 1/2 alpha))) beta))
(fma.f64 -4 (/.f64 (fma.f64 1/2 alpha 1/2) beta) 2)
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 (+.f64 1/2 (*.f64 1/2 alpha)) beta)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -4 (+.f64 1/2 (*.f64 1/2 alpha))) (*.f64 -8 (pow.f64 (+.f64 1/2 (*.f64 1/2 alpha)) 2))) (pow.f64 beta 2)))))
(+.f64 2 (fma.f64 -4 (/.f64 (+.f64 1/2 (*.f64 1/2 alpha)) beta) (neg.f64 (/.f64 (fma.f64 -4 (+.f64 1/2 (*.f64 1/2 alpha)) (*.f64 -8 (pow.f64 (+.f64 1/2 (*.f64 1/2 alpha)) 2))) (*.f64 beta beta)))))
(-.f64 (fma.f64 -4 (/.f64 (fma.f64 1/2 alpha 1/2) beta) 2) (/.f64 (fma.f64 (fma.f64 1/2 alpha 1/2) -4 (*.f64 -8 (pow.f64 (fma.f64 1/2 alpha 1/2) 2))) (*.f64 beta beta)))
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2
(+.f64 2 (*.f64 4 (/.f64 (-.f64 (*.f64 -1/2 alpha) 1/2) beta)))
(+.f64 2 (*.f64 4 (/.f64 (fma.f64 -1/2 alpha -1/2) beta)))
(fma.f64 4 (/.f64 (fma.f64 -1/2 alpha -1/2) beta) 2)
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(-.f64 (+.f64 (/.f64 (pow.f64 alpha 3) (*.f64 (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2) (*.f64 -2 (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (+.f64 beta 2)))) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2))) 1/2) 4) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (*.f64 (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2) (*.f64 -2 (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (+.f64 beta 2)))) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2))) 1/2) 3) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2)))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2) (*.f64 -2 (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (+.f64 beta 2)))) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2))) 1/2) 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))))) (/.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2) (*.f64 -2 (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (+.f64 beta 2)))) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2))) 1/2)))
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(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha))
(neg.f64 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha))
(/.f64 (neg.f64 (-.f64 (-.f64 -2 beta) beta)) alpha)
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(fma.f64 -1/2 (/.f64 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 beta) beta)) (pow.f64 (-.f64 (-.f64 -2 beta) beta) 2)) (pow.f64 (-.f64 (-.f64 -2 beta) beta) 2)) 1/2)
(log1p.f64 (expm1.f64 (+.f64 1/2 (/.f64 (*.f64 -1/2 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) (+.f64 beta 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2)))))
(fma.f64 -1/2 (/.f64 (fma.f64 -2 (*.f64 (+.f64 beta 2) (fma.f64 -1 beta (-.f64 -2 beta))) (pow.f64 (fma.f64 -1 beta (-.f64 -2 beta)) 2)) (pow.f64 (fma.f64 -1 beta (-.f64 -2 beta)) 2)) 1/2)
(fma.f64 -1/2 (/.f64 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 beta) beta)) (pow.f64 (-.f64 (-.f64 -2 beta) beta) 2)) (pow.f64 (-.f64 (-.f64 -2 beta) beta) 2)) 1/2)
(*.f64 1 (/.f64 1 (*.f64 -1 (+.f64 (+.f64 1/2 (/.f64 (*.f64 -1/2 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) (+.f64 beta 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (/.f64 alpha (-.f64 (neg.f64 beta) (+.f64 beta 2)))))))
(/.f64 -1 (+.f64 (fma.f64 -1/2 (/.f64 (fma.f64 -2 (*.f64 (+.f64 beta 2) (fma.f64 -1 beta (-.f64 -2 beta))) (pow.f64 (fma.f64 -1 beta (-.f64 -2 beta)) 2)) (pow.f64 (fma.f64 -1 beta (-.f64 -2 beta)) 2)) 1/2) (/.f64 alpha (fma.f64 -1 beta (-.f64 -2 beta)))))
(/.f64 -1 (+.f64 1/2 (fma.f64 -1/2 (/.f64 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 beta) beta)) (pow.f64 (-.f64 (-.f64 -2 beta) beta) 2)) (pow.f64 (-.f64 (-.f64 -2 beta) beta) 2)) (/.f64 alpha (-.f64 (-.f64 -2 beta) beta)))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 -1 (+.f64 (+.f64 1/2 (/.f64 (*.f64 -1/2 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) (+.f64 beta 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (/.f64 alpha (-.f64 (neg.f64 beta) (+.f64 beta 2))))))) (cbrt.f64 (/.f64 1 (*.f64 -1 (+.f64 (+.f64 1/2 (/.f64 (*.f64 -1/2 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) (+.f64 beta 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (/.f64 alpha (-.f64 (neg.f64 beta) (+.f64 beta 2)))))))) (cbrt.f64 (/.f64 1 (*.f64 -1 (+.f64 (+.f64 1/2 (/.f64 (*.f64 -1/2 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) (+.f64 beta 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (/.f64 alpha (-.f64 (neg.f64 beta) (+.f64 beta 2))))))))
(/.f64 -1 (+.f64 (fma.f64 -1/2 (/.f64 (fma.f64 -2 (*.f64 (+.f64 beta 2) (fma.f64 -1 beta (-.f64 -2 beta))) (pow.f64 (fma.f64 -1 beta (-.f64 -2 beta)) 2)) (pow.f64 (fma.f64 -1 beta (-.f64 -2 beta)) 2)) 1/2) (/.f64 alpha (fma.f64 -1 beta (-.f64 -2 beta)))))
(/.f64 -1 (+.f64 1/2 (fma.f64 -1/2 (/.f64 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 beta) beta)) (pow.f64 (-.f64 (-.f64 -2 beta) beta) 2)) (pow.f64 (-.f64 (-.f64 -2 beta) beta) 2)) (/.f64 alpha (-.f64 (-.f64 -2 beta) beta)))))
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 -1 (+.f64 (+.f64 1/2 (/.f64 (*.f64 -1/2 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) (+.f64 beta 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (/.f64 alpha (-.f64 (neg.f64 beta) (+.f64 beta 2))))))) (sqrt.f64 (/.f64 1 (*.f64 -1 (+.f64 (+.f64 1/2 (/.f64 (*.f64 -1/2 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) (+.f64 beta 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (/.f64 alpha (-.f64 (neg.f64 beta) (+.f64 beta 2))))))))
(/.f64 -1 (+.f64 (fma.f64 -1/2 (/.f64 (fma.f64 -2 (*.f64 (+.f64 beta 2) (fma.f64 -1 beta (-.f64 -2 beta))) (pow.f64 (fma.f64 -1 beta (-.f64 -2 beta)) 2)) (pow.f64 (fma.f64 -1 beta (-.f64 -2 beta)) 2)) 1/2) (/.f64 alpha (fma.f64 -1 beta (-.f64 -2 beta)))))
(/.f64 -1 (+.f64 1/2 (fma.f64 -1/2 (/.f64 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 beta) beta)) (pow.f64 (-.f64 (-.f64 -2 beta) beta) 2)) (pow.f64 (-.f64 (-.f64 -2 beta) beta) 2)) (/.f64 alpha (-.f64 (-.f64 -2 beta) beta)))))
(pow.f64 (*.f64 -1 (+.f64 (+.f64 1/2 (/.f64 (*.f64 -1/2 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) (+.f64 beta 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (/.f64 alpha (-.f64 (neg.f64 beta) (+.f64 beta 2))))) -1)
(/.f64 -1 (+.f64 (fma.f64 -1/2 (/.f64 (fma.f64 -2 (*.f64 (+.f64 beta 2) (fma.f64 -1 beta (-.f64 -2 beta))) (pow.f64 (fma.f64 -1 beta (-.f64 -2 beta)) 2)) (pow.f64 (fma.f64 -1 beta (-.f64 -2 beta)) 2)) 1/2) (/.f64 alpha (fma.f64 -1 beta (-.f64 -2 beta)))))
(/.f64 -1 (+.f64 1/2 (fma.f64 -1/2 (/.f64 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 beta) beta)) (pow.f64 (-.f64 (-.f64 -2 beta) beta) 2)) (pow.f64 (-.f64 (-.f64 -2 beta) beta) 2)) (/.f64 alpha (-.f64 (-.f64 -2 beta) beta)))))
(pow.f64 (/.f64 1 (*.f64 -1 (+.f64 (+.f64 1/2 (/.f64 (*.f64 -1/2 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) (+.f64 beta 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (/.f64 alpha (-.f64 (neg.f64 beta) (+.f64 beta 2)))))) 1)
(/.f64 -1 (+.f64 (fma.f64 -1/2 (/.f64 (fma.f64 -2 (*.f64 (+.f64 beta 2) (fma.f64 -1 beta (-.f64 -2 beta))) (pow.f64 (fma.f64 -1 beta (-.f64 -2 beta)) 2)) (pow.f64 (fma.f64 -1 beta (-.f64 -2 beta)) 2)) 1/2) (/.f64 alpha (fma.f64 -1 beta (-.f64 -2 beta)))))
(/.f64 -1 (+.f64 1/2 (fma.f64 -1/2 (/.f64 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 beta) beta)) (pow.f64 (-.f64 (-.f64 -2 beta) beta) 2)) (pow.f64 (-.f64 (-.f64 -2 beta) beta) 2)) (/.f64 alpha (-.f64 (-.f64 -2 beta) beta)))))
(log.f64 (exp.f64 (/.f64 1 (*.f64 -1 (+.f64 (+.f64 1/2 (/.f64 (*.f64 -1/2 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) (+.f64 beta 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (/.f64 alpha (-.f64 (neg.f64 beta) (+.f64 beta 2))))))))
(/.f64 -1 (+.f64 (fma.f64 -1/2 (/.f64 (fma.f64 -2 (*.f64 (+.f64 beta 2) (fma.f64 -1 beta (-.f64 -2 beta))) (pow.f64 (fma.f64 -1 beta (-.f64 -2 beta)) 2)) (pow.f64 (fma.f64 -1 beta (-.f64 -2 beta)) 2)) 1/2) (/.f64 alpha (fma.f64 -1 beta (-.f64 -2 beta)))))
(/.f64 -1 (+.f64 1/2 (fma.f64 -1/2 (/.f64 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 beta) beta)) (pow.f64 (-.f64 (-.f64 -2 beta) beta) 2)) (pow.f64 (-.f64 (-.f64 -2 beta) beta) 2)) (/.f64 alpha (-.f64 (-.f64 -2 beta) beta)))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 1 (*.f64 -1 (+.f64 (+.f64 1/2 (/.f64 (*.f64 -1/2 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) (+.f64 beta 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (/.f64 alpha (-.f64 (neg.f64 beta) (+.f64 beta 2)))))) (/.f64 1 (*.f64 -1 (+.f64 (+.f64 1/2 (/.f64 (*.f64 -1/2 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) (+.f64 beta 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (/.f64 alpha (-.f64 (neg.f64 beta) (+.f64 beta 2))))))) (/.f64 1 (*.f64 -1 (+.f64 (+.f64 1/2 (/.f64 (*.f64 -1/2 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) (+.f64 beta 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (/.f64 alpha (-.f64 (neg.f64 beta) (+.f64 beta 2))))))))
(cbrt.f64 (*.f64 (/.f64 -1 (+.f64 (fma.f64 -1/2 (/.f64 (fma.f64 -2 (*.f64 (+.f64 beta 2) (fma.f64 -1 beta (-.f64 -2 beta))) (pow.f64 (fma.f64 -1 beta (-.f64 -2 beta)) 2)) (pow.f64 (fma.f64 -1 beta (-.f64 -2 beta)) 2)) 1/2) (/.f64 alpha (fma.f64 -1 beta (-.f64 -2 beta))))) (/.f64 (/.f64 -1 (+.f64 (fma.f64 -1/2 (/.f64 (fma.f64 -2 (*.f64 (+.f64 beta 2) (fma.f64 -1 beta (-.f64 -2 beta))) (pow.f64 (fma.f64 -1 beta (-.f64 -2 beta)) 2)) (pow.f64 (fma.f64 -1 beta (-.f64 -2 beta)) 2)) 1/2) (/.f64 alpha (fma.f64 -1 beta (-.f64 -2 beta))))) (neg.f64 (+.f64 (fma.f64 -1/2 (/.f64 (fma.f64 -2 (*.f64 (+.f64 beta 2) (fma.f64 -1 beta (-.f64 -2 beta))) (pow.f64 (fma.f64 -1 beta (-.f64 -2 beta)) 2)) (pow.f64 (fma.f64 -1 beta (-.f64 -2 beta)) 2)) 1/2) (/.f64 alpha (fma.f64 -1 beta (-.f64 -2 beta))))))))
(cbrt.f64 (pow.f64 (/.f64 -1 (+.f64 1/2 (fma.f64 -1/2 (/.f64 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 beta) beta)) (pow.f64 (-.f64 (-.f64 -2 beta) beta) 2)) (pow.f64 (-.f64 (-.f64 -2 beta) beta) 2)) (/.f64 alpha (-.f64 (-.f64 -2 beta) beta))))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (*.f64 -1 (+.f64 (+.f64 1/2 (/.f64 (*.f64 -1/2 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) (+.f64 beta 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (/.f64 alpha (-.f64 (neg.f64 beta) (+.f64 beta 2))))))))
(/.f64 -1 (+.f64 (fma.f64 -1/2 (/.f64 (fma.f64 -2 (*.f64 (+.f64 beta 2) (fma.f64 -1 beta (-.f64 -2 beta))) (pow.f64 (fma.f64 -1 beta (-.f64 -2 beta)) 2)) (pow.f64 (fma.f64 -1 beta (-.f64 -2 beta)) 2)) 1/2) (/.f64 alpha (fma.f64 -1 beta (-.f64 -2 beta)))))
(/.f64 -1 (+.f64 1/2 (fma.f64 -1/2 (/.f64 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 beta) beta)) (pow.f64 (-.f64 (-.f64 -2 beta) beta) 2)) (pow.f64 (-.f64 (-.f64 -2 beta) beta) 2)) (/.f64 alpha (-.f64 (-.f64 -2 beta) beta)))))
(exp.f64 (log.f64 (/.f64 1 (*.f64 -1 (+.f64 (+.f64 1/2 (/.f64 (*.f64 -1/2 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) (+.f64 beta 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (/.f64 alpha (-.f64 (neg.f64 beta) (+.f64 beta 2))))))))
(/.f64 -1 (+.f64 (fma.f64 -1/2 (/.f64 (fma.f64 -2 (*.f64 (+.f64 beta 2) (fma.f64 -1 beta (-.f64 -2 beta))) (pow.f64 (fma.f64 -1 beta (-.f64 -2 beta)) 2)) (pow.f64 (fma.f64 -1 beta (-.f64 -2 beta)) 2)) 1/2) (/.f64 alpha (fma.f64 -1 beta (-.f64 -2 beta)))))
(/.f64 -1 (+.f64 1/2 (fma.f64 -1/2 (/.f64 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 beta) beta)) (pow.f64 (-.f64 (-.f64 -2 beta) beta) 2)) (pow.f64 (-.f64 (-.f64 -2 beta) beta) 2)) (/.f64 alpha (-.f64 (-.f64 -2 beta) beta)))))
(log1p.f64 (expm1.f64 (/.f64 1 (*.f64 -1 (+.f64 (+.f64 1/2 (/.f64 (*.f64 -1/2 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) (+.f64 beta 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) (/.f64 alpha (-.f64 (neg.f64 beta) (+.f64 beta 2))))))))
(/.f64 -1 (+.f64 (fma.f64 -1/2 (/.f64 (fma.f64 -2 (*.f64 (+.f64 beta 2) (fma.f64 -1 beta (-.f64 -2 beta))) (pow.f64 (fma.f64 -1 beta (-.f64 -2 beta)) 2)) (pow.f64 (fma.f64 -1 beta (-.f64 -2 beta)) 2)) 1/2) (/.f64 alpha (fma.f64 -1 beta (-.f64 -2 beta)))))
(/.f64 -1 (+.f64 1/2 (fma.f64 -1/2 (/.f64 (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 beta) beta)) (pow.f64 (-.f64 (-.f64 -2 beta) beta) 2)) (pow.f64 (-.f64 (-.f64 -2 beta) beta) 2)) (/.f64 alpha (-.f64 (-.f64 -2 beta) beta)))))
(+.f64 (neg.f64 beta) (neg.f64 (+.f64 beta 2)))
(fma.f64 -1 beta (-.f64 -2 beta))
(-.f64 (-.f64 -2 beta) beta)
(*.f64 1 (-.f64 (neg.f64 beta) (+.f64 beta 2)))
(fma.f64 -1 beta (-.f64 -2 beta))
(-.f64 (-.f64 -2 beta) beta)
(*.f64 (*.f64 (cbrt.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2))) (cbrt.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)))) (cbrt.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2))))
(fma.f64 -1 beta (-.f64 -2 beta))
(-.f64 (-.f64 -2 beta) beta)
(*.f64 (sqrt.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2))) (sqrt.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2))))
(fma.f64 -1 beta (-.f64 -2 beta))
(-.f64 (-.f64 -2 beta) beta)
(/.f64 (-.f64 (pow.f64 (neg.f64 beta) 3) (pow.f64 (+.f64 beta 2) 3)) (+.f64 (*.f64 (neg.f64 beta) (neg.f64 beta)) (+.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 2)) (*.f64 (neg.f64 beta) (+.f64 beta 2)))))
(/.f64 (-.f64 (pow.f64 (neg.f64 beta) 3) (pow.f64 (+.f64 beta 2) 3)) (+.f64 (*.f64 beta beta) (*.f64 (+.f64 beta 2) (+.f64 (+.f64 beta 2) (neg.f64 beta)))))
(/.f64 (fma.f64 -1 (pow.f64 beta 3) (pow.f64 (-.f64 -2 beta) 3)) (fma.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) beta) (*.f64 beta beta)))
(/.f64 (-.f64 (*.f64 (neg.f64 beta) (neg.f64 beta)) (*.f64 (+.f64 beta 2) (+.f64 beta 2))) (+.f64 (neg.f64 beta) (+.f64 beta 2)))
(/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (+.f64 beta 2) (neg.f64 beta)))
(/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2)) (-.f64 (+.f64 beta 2) beta))
(pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 1)
(fma.f64 -1 beta (-.f64 -2 beta))
(-.f64 (-.f64 -2 beta) beta)
(log.f64 (exp.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2))))
(fma.f64 -1 beta (-.f64 -2 beta))
(-.f64 (-.f64 -2 beta) beta)
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2) (-.f64 (neg.f64 beta) (+.f64 beta 2))))
(fma.f64 -1 beta (-.f64 -2 beta))
(-.f64 (-.f64 -2 beta) beta)
(expm1.f64 (log1p.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2))))
(fma.f64 -1 beta (-.f64 -2 beta))
(-.f64 (-.f64 -2 beta) beta)
(exp.f64 (log.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2))))
(fma.f64 -1 beta (-.f64 -2 beta))
(-.f64 (-.f64 -2 beta) beta)
(log1p.f64 (expm1.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2))))
(fma.f64 -1 beta (-.f64 -2 beta))
(-.f64 (-.f64 -2 beta) beta)
(fma.f64 -1 beta (neg.f64 (+.f64 beta 2)))
(fma.f64 -1 beta (-.f64 -2 beta))
(-.f64 (-.f64 -2 beta) beta)
(*.f64 1 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha))
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(/.f64 (fma.f64 beta 2 2) alpha)
(*.f64 (+.f64 2 (*.f64 beta 2)) (/.f64 1 alpha))
(/.f64 (+.f64 2 (*.f64 beta 2)) alpha)
(/.f64 (fma.f64 beta 2 2) alpha)
(*.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha)) (cbrt.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha))) (cbrt.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha)))
(/.f64 (+.f64 2 (*.f64 beta 2)) alpha)
(/.f64 (fma.f64 beta 2 2) alpha)
(*.f64 (sqrt.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha)) (sqrt.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha)))
(/.f64 (+.f64 2 (*.f64 beta 2)) alpha)
(/.f64 (fma.f64 beta 2 2) alpha)
(pow.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 1)
(/.f64 (+.f64 2 (*.f64 beta 2)) alpha)
(/.f64 (fma.f64 beta 2 2) alpha)
(log.f64 (exp.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha)))
(/.f64 (+.f64 2 (*.f64 beta 2)) alpha)
(/.f64 (fma.f64 beta 2 2) alpha)
(cbrt.f64 (*.f64 (*.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) (/.f64 (+.f64 2 (*.f64 beta 2)) alpha)) (/.f64 (+.f64 2 (*.f64 beta 2)) alpha)))
(cbrt.f64 (*.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) (*.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) (/.f64 (+.f64 2 (*.f64 beta 2)) alpha))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 beta 2 2) alpha) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha)))
(/.f64 (+.f64 2 (*.f64 beta 2)) alpha)
(/.f64 (fma.f64 beta 2 2) alpha)
(exp.f64 (log.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha)))
(/.f64 (+.f64 2 (*.f64 beta 2)) alpha)
(/.f64 (fma.f64 beta 2 2) alpha)
(log1p.f64 (expm1.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha)))
(/.f64 (+.f64 2 (*.f64 beta 2)) alpha)
(/.f64 (fma.f64 beta 2 2) alpha)
(+.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (neg.f64 (/.f64 (+.f64 -2 (neg.f64 beta)) alpha)))
(-.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (/.f64 (-.f64 -2 beta) alpha))
(+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 beta (+.f64 2 alpha))))
(*.f64 1 (-.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (/.f64 (+.f64 -2 (neg.f64 beta)) alpha)))
(-.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (/.f64 (-.f64 -2 beta) alpha))
(+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 beta (+.f64 2 alpha))))
(*.f64 (*.f64 (cbrt.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (/.f64 (+.f64 -2 (neg.f64 beta)) alpha))) (cbrt.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (/.f64 (+.f64 -2 (neg.f64 beta)) alpha)))) (cbrt.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (/.f64 (+.f64 -2 (neg.f64 beta)) alpha))))
(-.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (/.f64 (-.f64 -2 beta) alpha))
(+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 beta (+.f64 2 alpha))))
(*.f64 (sqrt.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (/.f64 (+.f64 -2 (neg.f64 beta)) alpha))) (sqrt.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (/.f64 (+.f64 -2 (neg.f64 beta)) alpha))))
(-.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (/.f64 (-.f64 -2 beta) alpha))
(+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 beta (+.f64 2 alpha))))
(/.f64 (-.f64 (*.f64 beta alpha) (*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 -2 (neg.f64 beta)))) (*.f64 (+.f64 beta (+.f64 2 alpha)) alpha))
(/.f64 (-.f64 (*.f64 beta alpha) (*.f64 (+.f64 beta (+.f64 2 alpha)) (-.f64 -2 beta))) (*.f64 alpha (+.f64 beta (+.f64 2 alpha))))
(/.f64 (fma.f64 beta alpha (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 2 alpha)))) (*.f64 alpha (+.f64 beta (+.f64 2 alpha))))
(/.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) 3) (pow.f64 (/.f64 (+.f64 -2 (neg.f64 beta)) alpha) 3)) (+.f64 (*.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (/.f64 beta (+.f64 beta (+.f64 2 alpha)))) (+.f64 (*.f64 (/.f64 (+.f64 -2 (neg.f64 beta)) alpha) (/.f64 (+.f64 -2 (neg.f64 beta)) alpha)) (*.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (/.f64 (+.f64 -2 (neg.f64 beta)) alpha)))))
(/.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) 3) (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 3)) (fma.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (*.f64 (/.f64 (-.f64 -2 beta) alpha) (+.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (/.f64 (-.f64 -2 beta) alpha)))))
(/.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) 3) (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 3)) (fma.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (*.f64 (/.f64 (-.f64 -2 beta) alpha) (-.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (/.f64 (+.f64 beta 2) alpha)))))
(/.f64 (-.f64 (*.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (/.f64 beta (+.f64 beta (+.f64 2 alpha)))) (*.f64 (/.f64 (+.f64 -2 (neg.f64 beta)) alpha) (/.f64 (+.f64 -2 (neg.f64 beta)) alpha))) (+.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (/.f64 (+.f64 -2 (neg.f64 beta)) alpha)))
(/.f64 (-.f64 (*.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (/.f64 beta (+.f64 beta (+.f64 2 alpha)))) (*.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 (-.f64 -2 beta) alpha))) (+.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (/.f64 (-.f64 -2 beta) alpha)))
(/.f64 (-.f64 (*.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (/.f64 beta (+.f64 beta (+.f64 2 alpha)))) (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 2)) (-.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (/.f64 (+.f64 beta 2) alpha)))
(pow.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (/.f64 (+.f64 -2 (neg.f64 beta)) alpha)) 1)
(-.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (/.f64 (-.f64 -2 beta) alpha))
(+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 beta (+.f64 2 alpha))))
(log.f64 (exp.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (/.f64 (+.f64 -2 (neg.f64 beta)) alpha))))
(-.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (/.f64 (-.f64 -2 beta) alpha))
(+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 beta (+.f64 2 alpha))))
(cbrt.f64 (*.f64 (*.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (/.f64 (+.f64 -2 (neg.f64 beta)) alpha)) (-.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (/.f64 (+.f64 -2 (neg.f64 beta)) alpha))) (-.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (/.f64 (+.f64 -2 (neg.f64 beta)) alpha))))
(cbrt.f64 (*.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (/.f64 (-.f64 -2 beta) alpha)) (*.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (/.f64 (-.f64 -2 beta) alpha)) (-.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (/.f64 (-.f64 -2 beta) alpha)))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 beta (+.f64 2 alpha)))) 3))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (/.f64 (+.f64 -2 (neg.f64 beta)) alpha))))
(-.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (/.f64 (-.f64 -2 beta) alpha))
(+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 beta (+.f64 2 alpha))))
(exp.f64 (log.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (/.f64 (+.f64 -2 (neg.f64 beta)) alpha))))
(-.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (/.f64 (-.f64 -2 beta) alpha))
(+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 beta (+.f64 2 alpha))))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (/.f64 (+.f64 -2 (neg.f64 beta)) alpha))))
(-.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (/.f64 (-.f64 -2 beta) alpha))
(+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 beta (+.f64 2 alpha))))
(*.f64 1 (/.f64 (+.f64 -2 (neg.f64 beta)) alpha))
(/.f64 (-.f64 -2 beta) alpha)
(*.f64 (+.f64 -2 (neg.f64 beta)) (/.f64 1 alpha))
(/.f64 (-.f64 -2 beta) alpha)
(*.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 -2 (neg.f64 beta)) alpha)) (cbrt.f64 (/.f64 (+.f64 -2 (neg.f64 beta)) alpha))) (cbrt.f64 (/.f64 (+.f64 -2 (neg.f64 beta)) alpha)))
(/.f64 (-.f64 -2 beta) alpha)
(*.f64 (sqrt.f64 (/.f64 (+.f64 -2 (neg.f64 beta)) alpha)) (sqrt.f64 (/.f64 (+.f64 -2 (neg.f64 beta)) alpha)))
(/.f64 (-.f64 -2 beta) alpha)
(pow.f64 (/.f64 (+.f64 -2 (neg.f64 beta)) alpha) 1)
(/.f64 (-.f64 -2 beta) alpha)
(log.f64 (exp.f64 (/.f64 (+.f64 -2 (neg.f64 beta)) alpha)))
(/.f64 (-.f64 -2 beta) alpha)
(cbrt.f64 (*.f64 (*.f64 (/.f64 (+.f64 -2 (neg.f64 beta)) alpha) (/.f64 (+.f64 -2 (neg.f64 beta)) alpha)) (/.f64 (+.f64 -2 (neg.f64 beta)) alpha)))
(/.f64 (-.f64 -2 beta) alpha)
(expm1.f64 (log1p.f64 (/.f64 (+.f64 -2 (neg.f64 beta)) alpha)))
(/.f64 (-.f64 -2 beta) alpha)
(exp.f64 (log.f64 (/.f64 (+.f64 -2 (neg.f64 beta)) alpha)))
(/.f64 (-.f64 -2 beta) alpha)
(log1p.f64 (expm1.f64 (/.f64 (+.f64 -2 (neg.f64 beta)) alpha)))
(/.f64 (-.f64 -2 beta) alpha)
(*.f64 1 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)))
(+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2))
(*.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2))) (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)))) (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2))))
(+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2))
(*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2))) (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2))))
(+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2))
(*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 1) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 1))
(+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2))
(/.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2) 3) -1) (+.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)) (-.f64 1 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2) -1))))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2) 3)) (-.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 4) 1) (*.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2))))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2) 3)) (+.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 4) 1) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)) 1) (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2) -1))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 4) -1) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2) 1))
(pow.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)) 1)
(+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2))
(log.f64 (exp.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2))))
(+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2))
(cbrt.f64 (*.f64 (*.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)) (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2))) (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2))))
(cbrt.f64 (*.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)) (*.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)) (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)))))
(cbrt.f64 (pow.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)) 3))
(expm1.f64 (log1p.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2))))
(+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2))
(exp.f64 (log.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2))))
(+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2))
(log1p.f64 (expm1.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2))))
(+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) -1)
(+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2))
(/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta (+.f64 2 alpha))))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)
(/.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) (-.f64 beta alpha)) (+.f64 beta (+.f64 2 alpha)))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)
(/.f64 (*.f64 (-.f64 beta alpha) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) (+.f64 beta (+.f64 2 alpha)))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)
(pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2) 1)
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)
(log.f64 (exp.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)
(cbrt.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)
(exp.f64 (log.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)
(*.f64 1 (/.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2))))
(/.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)))
(*.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) (/.f64 1 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2))))
(/.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)))) (cbrt.f64 (/.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2))))) (cbrt.f64 (/.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)))))
(/.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)))) (sqrt.f64 (/.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)))))
(/.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)))
(pow.f64 (/.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2))) 1)
(/.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)))
(log.f64 (exp.f64 (/.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)))))
(/.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2))) (/.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)))) (/.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)))))
(cbrt.f64 (*.f64 (/.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2))) (*.f64 (/.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2))) (/.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2))) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)))))
(/.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)))
(exp.f64 (log.f64 (/.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)))))
(/.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)))))
(/.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)))

eval1.1s (10.3%)

Compiler

Compiled 60135 to 44598 computations (25.8% saved)

prune159.0ms (1.5%)

Pruning

14 alts after pruning (10 fresh and 4 done)

PrunedKeptTotal
New6826688
Fresh6410
Picked325
Done325
Total69414708
Accurracy
100.0%
Counts
708 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
30.1%
(/.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 (/.f64 (+.f64 beta 2) alpha) 2)
30.7%
(/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2)
4.8%
(/.f64 (/.f64 beta alpha) 2)
26.1%
(/.f64 (/.f64 2 alpha) 2)
62.9%
(/.f64 (/.f64 1 (+.f64 (*.f64 -1 -1/2) (*.f64 -1 (/.f64 alpha (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))))) 2)
71.9%
(/.f64 (/.f64 1 (+.f64 1 (*.f64 1/2 alpha))) 2)
7.9%
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (neg.f64 beta) alpha)) 2)
27.9%
(/.f64 (-.f64 2 (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta)) 2)
47.1%
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
73.6%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
70.8%
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
8.0%
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
35.3%
(/.f64 2 2)
30.1%
(/.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 (/.f64 (+.f64 beta 2) alpha) 2)
30.7%
(/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2)
4.8%
(/.f64 (/.f64 beta alpha) 2)
26.1%
(/.f64 (/.f64 2 alpha) 2)
62.9%
(/.f64 (/.f64 1 (+.f64 (*.f64 -1 -1/2) (*.f64 -1 (/.f64 alpha (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))))) 2)
71.9%
(/.f64 (/.f64 1 (+.f64 1 (*.f64 1/2 alpha))) 2)
7.9%
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (neg.f64 beta) alpha)) 2)
27.9%
(/.f64 (-.f64 2 (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta)) 2)
47.1%
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
73.6%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
70.8%
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
8.0%
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
35.3%
(/.f64 2 2)
Compiler

Compiled 596 to 466 computations (21.8% saved)

localize124.0ms (1.2%)

Local Accuracy

Found 4 expressions with local accuracy:

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

Compiled 138 to 88 computations (36.2% saved)

series3.0ms (0%)

Counts
4 → 60
Calls

15 calls:

TimeVariablePointExpression
0.0ms
beta
@0
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (neg.f64 beta) alpha))
0.0ms
alpha
@inf
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (neg.f64 beta) alpha))
0.0ms
alpha
@-inf
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (neg.f64 beta) alpha))
0.0ms
alpha
@-inf
(/.f64 1 (+.f64 1 (*.f64 1/2 alpha)))
0.0ms
beta
@inf
(+.f64 (/.f64 beta (+.f64 beta 2)) 1)

rewrite115.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
816×expm1-udef
510×add-sqr-sqrt
496×pow1
496×*-un-lft-identity
476×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02086
148178
2775678
Stop Event
node limit
Counts
4 → 156
Calls
Call 1
Inputs
(/.f64 1 (+.f64 1 (*.f64 1/2 alpha)))
(+.f64 (/.f64 beta (+.f64 beta 2)) 1)
(/.f64 beta (+.f64 beta 2))
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (neg.f64 beta) alpha))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 1/2 alpha 1)))) 1)
(*.f64 1 (/.f64 1 (fma.f64 1/2 alpha 1)))
(*.f64 (/.f64 1 (fma.f64 1/2 alpha 1)) 1)
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/2 alpha 1))) (cbrt.f64 (pow.f64 (fma.f64 1/2 alpha 1) -2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 alpha 1) -2)) (/.f64 1 (cbrt.f64 (fma.f64 1/2 alpha 1))))
(*.f64 (pow.f64 (fma.f64 1/2 alpha 1) -1/2) (pow.f64 (fma.f64 1/2 alpha 1) -1/2))
(*.f64 -1 (/.f64 1 (neg.f64 (fma.f64 1/2 alpha 1))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 alpha 1)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 1/2 alpha 1)) -1))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 1/2 alpha 1)) -1) (pow.f64 (sqrt.f64 (fma.f64 1/2 alpha 1)) -1))
(*.f64 (/.f64 1 (+.f64 1 (*.f64 1/8 (pow.f64 alpha 3)))) (+.f64 1 (+.f64 (*.f64 (*.f64 alpha alpha) 1/4) (*.f64 -1/2 alpha))))
(*.f64 (/.f64 1 (-.f64 1 (*.f64 (*.f64 alpha alpha) 1/4))) (-.f64 1 (*.f64 1/2 alpha)))
(pow.f64 (fma.f64 1/2 alpha 1) -1)
(pow.f64 (/.f64 1 (fma.f64 1/2 alpha 1)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/2 alpha 1))) 3)
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 1/2 alpha 1)) 3) 1/3)
(pow.f64 (pow.f64 (fma.f64 1/2 alpha 1) -1/2) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/2 alpha 1) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 alpha 1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 1/2 alpha 1)))))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 1/2 alpha 1)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 1/2 alpha 1))))
(exp.f64 (neg.f64 (log1p.f64 (*.f64 1/2 alpha))))
(exp.f64 (*.f64 (log1p.f64 (*.f64 1/2 alpha)) -1))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (*.f64 1/2 alpha))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 1/2 alpha 1))))
(-.f64 1 (/.f64 beta (+.f64 beta -2)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 beta (+.f64 beta -2))))) 1)
(-.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta -2)) 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)))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta -2)))) 2))
(*.f64 (pow.f64 (cbrt.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 (+.f64 1 (/.f64 beta (+.f64 beta -2))) (pow.f64 (/.f64 beta (+.f64 beta -2)) 2))))
(*.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta -2)) 2) -1) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta -2)) -1)))
(/.f64 1 (/.f64 (+.f64 (+.f64 1 (/.f64 beta (+.f64 beta -2))) (pow.f64 (/.f64 beta (+.f64 beta -2)) 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 beta (+.f64 beta -2)) 2) -1)))
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta -2)) 3)) (+.f64 (+.f64 1 (/.f64 beta (+.f64 beta -2))) (pow.f64 (/.f64 beta (+.f64 beta -2)) 2)))
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta -2)) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta -2)) 2) (/.f64 beta (+.f64 beta -2)))))
(/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta -2)) 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 (+.f64 1 (/.f64 beta (+.f64 beta -2))) (pow.f64 (/.f64 beta (+.f64 beta -2)) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta -2)) 2) -1)) (neg.f64 (+.f64 (/.f64 beta (+.f64 beta -2)) -1)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta -2)) 3)) (+.f64 1 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta -2)) 2) (/.f64 beta (+.f64 beta -2)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta -2)) 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 beta (/.f64 1 (+.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)
(-.f64 (+.f64 1 (/.f64 beta (+.f64 beta -2))) 1)
(-.f64 (/.f64 0 (+.f64 beta -2)) (/.f64 beta (+.f64 beta -2)))
(*.f64 1 (/.f64 beta (+.f64 beta -2)))
(*.f64 beta (/.f64 1 (+.f64 beta 2)))
(*.f64 beta (/.f64 1 (+.f64 beta -2)))
(*.f64 beta (*.f64 (/.f64 1 (+.f64 beta 2)) 1))
(*.f64 (/.f64 beta (+.f64 beta -2)) 1)
(*.f64 (cbrt.f64 (/.f64 beta (+.f64 beta -2))) (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta -2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta -2))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta -2))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta -2))) 2) (*.f64 (cbrt.f64 (/.f64 beta (+.f64 beta -2))) 1))
(*.f64 (pow.f64 (cbrt.f64 beta) 2) (*.f64 (cbrt.f64 beta) (/.f64 1 (+.f64 beta 2))))
(*.f64 (sqrt.f64 (/.f64 beta (+.f64 beta -2))) (sqrt.f64 (/.f64 beta (+.f64 beta -2))))
(*.f64 (sqrt.f64 (/.f64 beta (+.f64 beta -2))) (*.f64 (sqrt.f64 (/.f64 beta (+.f64 beta -2))) 1))
(*.f64 (sqrt.f64 beta) (*.f64 (sqrt.f64 beta) (/.f64 1 (+.f64 beta 2))))
(*.f64 (/.f64 1 (+.f64 beta 2)) beta)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 beta (cbrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta 2))) (/.f64 beta (sqrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 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))))
(*.f64 (/.f64 beta (+.f64 8 (pow.f64 beta 3))) (fma.f64 beta beta (+.f64 4 (*.f64 beta 2))))
(*.f64 (/.f64 beta (fma.f64 beta beta -4)) (+.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)
(neg.f64 (/.f64 beta (+.f64 beta -2)))
(sqrt.f64 (pow.f64 (/.f64 beta (+.f64 beta -2)) 2))
(log.f64 (exp.f64 (/.f64 beta (+.f64 beta -2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 beta (+.f64 beta -2)))))
(cbrt.f64 (pow.f64 (/.f64 beta (+.f64 beta -2)) 3))
(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 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta alpha))
(+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))
(+.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta alpha)) (fma.f64 (/.f64 beta alpha) 1 (/.f64 beta alpha)))
(+.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta alpha)) (fma.f64 (neg.f64 (/.f64 1 alpha)) beta (/.f64 beta alpha)))
(+.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta alpha)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 beta alpha))) (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2) (/.f64 beta alpha)))
(+.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta alpha)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 beta alpha))) (sqrt.f64 (/.f64 beta alpha)) (/.f64 beta alpha)))
(*.f64 1 (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta alpha)))
(*.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta alpha)) 1)
(*.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta alpha))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta alpha)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta alpha)) 2)) (cbrt.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta alpha))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta alpha))) (sqrt.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta alpha))))
(*.f64 (fma.f64 beta alpha (*.f64 beta (+.f64 2 (+.f64 alpha beta)))) (/.f64 1 (*.f64 alpha (+.f64 2 (+.f64 alpha beta)))))
(*.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 3) (pow.f64 (/.f64 beta alpha) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 2) (*.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta alpha))))))
(*.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta alpha)) 2) (/.f64 1 (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta alpha))))
(*.f64 (+.f64 (sqrt.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta)))) (sqrt.f64 (/.f64 beta alpha))) (-.f64 (sqrt.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta)))) (sqrt.f64 (/.f64 beta alpha))))
(/.f64 1 (/.f64 (*.f64 alpha (+.f64 2 (+.f64 alpha beta))) (fma.f64 beta alpha (*.f64 beta (+.f64 2 (+.f64 alpha beta))))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 2) (*.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta alpha)))) (+.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 3) (pow.f64 (/.f64 beta alpha) 3))))
(/.f64 1 (/.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta alpha)) (pow.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta alpha)) 2)))
(/.f64 (fma.f64 beta alpha (*.f64 beta (+.f64 2 (+.f64 alpha beta)))) (*.f64 alpha (+.f64 2 (+.f64 alpha beta))))
(/.f64 (fma.f64 beta alpha (*.f64 beta (+.f64 2 (+.f64 alpha beta)))) (*.f64 (-.f64 (+.f64 beta -2) alpha) alpha))
(/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 3) (pow.f64 (/.f64 beta alpha) 3)) (+.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 2) (*.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta alpha)))))
(/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 3) (pow.f64 (/.f64 beta alpha) 3)) (+.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 2) (-.f64 (pow.f64 (/.f64 beta alpha) 2) (/.f64 (*.f64 beta beta) (*.f64 alpha (+.f64 2 (+.f64 alpha beta)))))))
(/.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta alpha)) 2) (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta alpha)))
(/.f64 (+.f64 (/.f64 alpha beta) (*.f64 (/.f64 (+.f64 2 (+.f64 alpha beta)) beta) 1)) (*.f64 (/.f64 (+.f64 2 (+.f64 alpha beta)) beta) (/.f64 alpha beta)))
(/.f64 (+.f64 alpha (*.f64 (/.f64 (+.f64 2 (+.f64 alpha beta)) beta) beta)) (*.f64 (/.f64 (+.f64 2 (+.f64 alpha beta)) beta) alpha))
(/.f64 (+.f64 (neg.f64 alpha) (*.f64 (/.f64 (+.f64 2 (+.f64 alpha beta)) beta) beta)) (*.f64 (/.f64 (+.f64 2 (+.f64 alpha beta)) beta) (neg.f64 alpha)))
(/.f64 (+.f64 (*.f64 beta (/.f64 alpha beta)) (+.f64 2 (+.f64 alpha beta))) (*.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 alpha beta)))
(/.f64 (+.f64 (*.f64 beta (neg.f64 alpha)) (*.f64 beta (+.f64 2 (+.f64 alpha beta)))) (*.f64 (+.f64 2 (+.f64 alpha beta)) (neg.f64 alpha)))
(/.f64 (+.f64 (*.f64 beta (/.f64 alpha beta)) (*.f64 (-.f64 (+.f64 beta -2) alpha) 1)) (*.f64 (-.f64 (+.f64 beta -2) alpha) (/.f64 alpha beta)))
(/.f64 (+.f64 (*.f64 beta (neg.f64 alpha)) (*.f64 (-.f64 (+.f64 beta -2) alpha) beta)) (*.f64 (-.f64 (+.f64 beta -2) alpha) (neg.f64 alpha)))
(/.f64 (-.f64 (/.f64 alpha beta) (*.f64 (/.f64 (+.f64 2 (+.f64 alpha beta)) beta) 1)) (*.f64 (/.f64 (+.f64 2 (+.f64 alpha beta)) beta) (/.f64 alpha beta)))
(/.f64 (-.f64 alpha (*.f64 (/.f64 (+.f64 2 (+.f64 alpha beta)) beta) beta)) (*.f64 (/.f64 (+.f64 2 (+.f64 alpha beta)) beta) alpha))
(/.f64 (-.f64 (neg.f64 alpha) (*.f64 (/.f64 (+.f64 2 (+.f64 alpha beta)) beta) beta)) (*.f64 (/.f64 (+.f64 2 (+.f64 alpha beta)) beta) (neg.f64 alpha)))
(/.f64 (-.f64 (*.f64 beta (/.f64 alpha beta)) (+.f64 2 (+.f64 alpha beta))) (*.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 alpha beta)))
(/.f64 (-.f64 (*.f64 beta (neg.f64 alpha)) (*.f64 beta (+.f64 2 (+.f64 alpha beta)))) (*.f64 (+.f64 2 (+.f64 alpha beta)) (neg.f64 alpha)))
(/.f64 (-.f64 (*.f64 beta (/.f64 alpha beta)) (*.f64 (-.f64 (+.f64 beta -2) alpha) 1)) (*.f64 (-.f64 (+.f64 beta -2) alpha) (/.f64 alpha beta)))
(/.f64 (-.f64 (*.f64 alpha beta) (*.f64 (-.f64 (+.f64 beta -2) alpha) beta)) (*.f64 (-.f64 (+.f64 beta -2) alpha) alpha))
(/.f64 (-.f64 (*.f64 beta (neg.f64 alpha)) (*.f64 (-.f64 (+.f64 beta -2) alpha) beta)) (*.f64 (-.f64 (+.f64 beta -2) alpha) (neg.f64 alpha)))
(/.f64 (neg.f64 (fma.f64 beta alpha (*.f64 beta (+.f64 2 (+.f64 alpha beta))))) (neg.f64 (*.f64 alpha (+.f64 2 (+.f64 alpha beta)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 3) (pow.f64 (/.f64 beta alpha) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 2) (*.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta alpha))))))
(/.f64 (neg.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta alpha)) 2)) (neg.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta alpha))))
(/.f64 (/.f64 (fma.f64 beta alpha (*.f64 beta (+.f64 2 (+.f64 alpha beta)))) (+.f64 2 (+.f64 alpha beta))) alpha)
(pow.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta alpha)) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta alpha))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta alpha)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta alpha))) 2)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta alpha)) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta alpha))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta alpha)))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta alpha)) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta alpha))))
(exp.f64 (log.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta alpha))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta alpha))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta alpha))))
(fma.f64 1 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta alpha))
(fma.f64 beta (/.f64 1 (+.f64 2 (+.f64 alpha beta))) (/.f64 beta alpha))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta)))) 2) (cbrt.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta)))) (/.f64 beta alpha))
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta)))) (sqrt.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta)))) (/.f64 beta alpha))

simplify159.0ms (1.5%)

Algorithm
egg-herbie
Rules
838×fma-neg
808×div-sub
568×fma-def
456×associate-/r*
430×sub-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05068138
114257600
252227184
Stop Event
node limit
Counts
216 → 346
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)))))
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))))
(*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 alpha)))
(+.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 alpha))) (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))))
(+.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 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 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 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 beta alpha)
(+.f64 1 (/.f64 beta alpha))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 beta alpha)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (/.f64 beta alpha) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))
(/.f64 beta alpha)
(+.f64 1 (/.f64 beta alpha))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 beta alpha)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (/.f64 beta alpha) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))
(/.f64 beta alpha)
(+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 beta 2)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 beta 2))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (+.f64 beta 2)))))
(/.f64 (-.f64 beta (*.f64 -1 beta)) alpha)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 beta alpha)) (*.f64 -1 (/.f64 beta alpha)))
(-.f64 (+.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 -1 (/.f64 beta alpha)))
(-.f64 (+.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 -1 (/.f64 beta alpha)))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) beta) alpha))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) beta) alpha)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) 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 -1 (/.f64 (-.f64 (*.f64 -1 beta) beta) alpha)) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 1/2 alpha 1)))) 1)
(*.f64 1 (/.f64 1 (fma.f64 1/2 alpha 1)))
(*.f64 (/.f64 1 (fma.f64 1/2 alpha 1)) 1)
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/2 alpha 1))) (cbrt.f64 (pow.f64 (fma.f64 1/2 alpha 1) -2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 alpha 1) -2)) (/.f64 1 (cbrt.f64 (fma.f64 1/2 alpha 1))))
(*.f64 (pow.f64 (fma.f64 1/2 alpha 1) -1/2) (pow.f64 (fma.f64 1/2 alpha 1) -1/2))
(*.f64 -1 (/.f64 1 (neg.f64 (fma.f64 1/2 alpha 1))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 alpha 1)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 1/2 alpha 1)) -1))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 1/2 alpha 1)) -1) (pow.f64 (sqrt.f64 (fma.f64 1/2 alpha 1)) -1))
(*.f64 (/.f64 1 (+.f64 1 (*.f64 1/8 (pow.f64 alpha 3)))) (+.f64 1 (+.f64 (*.f64 (*.f64 alpha alpha) 1/4) (*.f64 -1/2 alpha))))
(*.f64 (/.f64 1 (-.f64 1 (*.f64 (*.f64 alpha alpha) 1/4))) (-.f64 1 (*.f64 1/2 alpha)))
(pow.f64 (fma.f64 1/2 alpha 1) -1)
(pow.f64 (/.f64 1 (fma.f64 1/2 alpha 1)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/2 alpha 1))) 3)
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 1/2 alpha 1)) 3) 1/3)
(pow.f64 (pow.f64 (fma.f64 1/2 alpha 1) -1/2) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/2 alpha 1) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 alpha 1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 1/2 alpha 1)))))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 1/2 alpha 1)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 1/2 alpha 1))))
(exp.f64 (neg.f64 (log1p.f64 (*.f64 1/2 alpha))))
(exp.f64 (*.f64 (log1p.f64 (*.f64 1/2 alpha)) -1))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (*.f64 1/2 alpha))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 1/2 alpha 1))))
(-.f64 1 (/.f64 beta (+.f64 beta -2)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 beta (+.f64 beta -2))))) 1)
(-.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta -2)) 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)))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta -2)))) 2))
(*.f64 (pow.f64 (cbrt.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 (+.f64 1 (/.f64 beta (+.f64 beta -2))) (pow.f64 (/.f64 beta (+.f64 beta -2)) 2))))
(*.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta -2)) 2) -1) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta -2)) -1)))
(/.f64 1 (/.f64 (+.f64 (+.f64 1 (/.f64 beta (+.f64 beta -2))) (pow.f64 (/.f64 beta (+.f64 beta -2)) 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 beta (+.f64 beta -2)) 2) -1)))
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta -2)) 3)) (+.f64 (+.f64 1 (/.f64 beta (+.f64 beta -2))) (pow.f64 (/.f64 beta (+.f64 beta -2)) 2)))
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta -2)) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta -2)) 2) (/.f64 beta (+.f64 beta -2)))))
(/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta -2)) 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 (+.f64 1 (/.f64 beta (+.f64 beta -2))) (pow.f64 (/.f64 beta (+.f64 beta -2)) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta -2)) 2) -1)) (neg.f64 (+.f64 (/.f64 beta (+.f64 beta -2)) -1)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta -2)) 3)) (+.f64 1 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta -2)) 2) (/.f64 beta (+.f64 beta -2)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta -2)) 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 beta (/.f64 1 (+.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)
(-.f64 (+.f64 1 (/.f64 beta (+.f64 beta -2))) 1)
(-.f64 (/.f64 0 (+.f64 beta -2)) (/.f64 beta (+.f64 beta -2)))
(*.f64 1 (/.f64 beta (+.f64 beta -2)))
(*.f64 beta (/.f64 1 (+.f64 beta 2)))
(*.f64 beta (/.f64 1 (+.f64 beta -2)))
(*.f64 beta (*.f64 (/.f64 1 (+.f64 beta 2)) 1))
(*.f64 (/.f64 beta (+.f64 beta -2)) 1)
(*.f64 (cbrt.f64 (/.f64 beta (+.f64 beta -2))) (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta -2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta -2))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta -2))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta -2))) 2) (*.f64 (cbrt.f64 (/.f64 beta (+.f64 beta -2))) 1))
(*.f64 (pow.f64 (cbrt.f64 beta) 2) (*.f64 (cbrt.f64 beta) (/.f64 1 (+.f64 beta 2))))
(*.f64 (sqrt.f64 (/.f64 beta (+.f64 beta -2))) (sqrt.f64 (/.f64 beta (+.f64 beta -2))))
(*.f64 (sqrt.f64 (/.f64 beta (+.f64 beta -2))) (*.f64 (sqrt.f64 (/.f64 beta (+.f64 beta -2))) 1))
(*.f64 (sqrt.f64 beta) (*.f64 (sqrt.f64 beta) (/.f64 1 (+.f64 beta 2))))
(*.f64 (/.f64 1 (+.f64 beta 2)) beta)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 beta (cbrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta 2))) (/.f64 beta (sqrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 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))))
(*.f64 (/.f64 beta (+.f64 8 (pow.f64 beta 3))) (fma.f64 beta beta (+.f64 4 (*.f64 beta 2))))
(*.f64 (/.f64 beta (fma.f64 beta beta -4)) (+.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)
(neg.f64 (/.f64 beta (+.f64 beta -2)))
(sqrt.f64 (pow.f64 (/.f64 beta (+.f64 beta -2)) 2))
(log.f64 (exp.f64 (/.f64 beta (+.f64 beta -2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 beta (+.f64 beta -2)))))
(cbrt.f64 (pow.f64 (/.f64 beta (+.f64 beta -2)) 3))
(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 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta alpha))
(+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))
(+.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta alpha)) (fma.f64 (/.f64 beta alpha) 1 (/.f64 beta alpha)))
(+.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta alpha)) (fma.f64 (neg.f64 (/.f64 1 alpha)) beta (/.f64 beta alpha)))
(+.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta alpha)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 beta alpha))) (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2) (/.f64 beta alpha)))
(+.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta alpha)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 beta alpha))) (sqrt.f64 (/.f64 beta alpha)) (/.f64 beta alpha)))
(*.f64 1 (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta alpha)))
(*.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta alpha)) 1)
(*.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta alpha))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta alpha)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta alpha)) 2)) (cbrt.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta alpha))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta alpha))) (sqrt.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta alpha))))
(*.f64 (fma.f64 beta alpha (*.f64 beta (+.f64 2 (+.f64 alpha beta)))) (/.f64 1 (*.f64 alpha (+.f64 2 (+.f64 alpha beta)))))
(*.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 3) (pow.f64 (/.f64 beta alpha) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 2) (*.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta alpha))))))
(*.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta alpha)) 2) (/.f64 1 (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta alpha))))
(*.f64 (+.f64 (sqrt.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta)))) (sqrt.f64 (/.f64 beta alpha))) (-.f64 (sqrt.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta)))) (sqrt.f64 (/.f64 beta alpha))))
(/.f64 1 (/.f64 (*.f64 alpha (+.f64 2 (+.f64 alpha beta))) (fma.f64 beta alpha (*.f64 beta (+.f64 2 (+.f64 alpha beta))))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 2) (*.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta alpha)))) (+.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 3) (pow.f64 (/.f64 beta alpha) 3))))
(/.f64 1 (/.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta alpha)) (pow.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta alpha)) 2)))
(/.f64 (fma.f64 beta alpha (*.f64 beta (+.f64 2 (+.f64 alpha beta)))) (*.f64 alpha (+.f64 2 (+.f64 alpha beta))))
(/.f64 (fma.f64 beta alpha (*.f64 beta (+.f64 2 (+.f64 alpha beta)))) (*.f64 (-.f64 (+.f64 beta -2) alpha) alpha))
(/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 3) (pow.f64 (/.f64 beta alpha) 3)) (+.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 2) (*.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta alpha)))))
(/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 3) (pow.f64 (/.f64 beta alpha) 3)) (+.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 2) (-.f64 (pow.f64 (/.f64 beta alpha) 2) (/.f64 (*.f64 beta beta) (*.f64 alpha (+.f64 2 (+.f64 alpha beta)))))))
(/.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta alpha)) 2) (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta alpha)))
(/.f64 (+.f64 (/.f64 alpha beta) (*.f64 (/.f64 (+.f64 2 (+.f64 alpha beta)) beta) 1)) (*.f64 (/.f64 (+.f64 2 (+.f64 alpha beta)) beta) (/.f64 alpha beta)))
(/.f64 (+.f64 alpha (*.f64 (/.f64 (+.f64 2 (+.f64 alpha beta)) beta) beta)) (*.f64 (/.f64 (+.f64 2 (+.f64 alpha beta)) beta) alpha))
(/.f64 (+.f64 (neg.f64 alpha) (*.f64 (/.f64 (+.f64 2 (+.f64 alpha beta)) beta) beta)) (*.f64 (/.f64 (+.f64 2 (+.f64 alpha beta)) beta) (neg.f64 alpha)))
(/.f64 (+.f64 (*.f64 beta (/.f64 alpha beta)) (+.f64 2 (+.f64 alpha beta))) (*.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 alpha beta)))
(/.f64 (+.f64 (*.f64 beta (neg.f64 alpha)) (*.f64 beta (+.f64 2 (+.f64 alpha beta)))) (*.f64 (+.f64 2 (+.f64 alpha beta)) (neg.f64 alpha)))
(/.f64 (+.f64 (*.f64 beta (/.f64 alpha beta)) (*.f64 (-.f64 (+.f64 beta -2) alpha) 1)) (*.f64 (-.f64 (+.f64 beta -2) alpha) (/.f64 alpha beta)))
(/.f64 (+.f64 (*.f64 beta (neg.f64 alpha)) (*.f64 (-.f64 (+.f64 beta -2) alpha) beta)) (*.f64 (-.f64 (+.f64 beta -2) alpha) (neg.f64 alpha)))
(/.f64 (-.f64 (/.f64 alpha beta) (*.f64 (/.f64 (+.f64 2 (+.f64 alpha beta)) beta) 1)) (*.f64 (/.f64 (+.f64 2 (+.f64 alpha beta)) beta) (/.f64 alpha beta)))
(/.f64 (-.f64 alpha (*.f64 (/.f64 (+.f64 2 (+.f64 alpha beta)) beta) beta)) (*.f64 (/.f64 (+.f64 2 (+.f64 alpha beta)) beta) alpha))
(/.f64 (-.f64 (neg.f64 alpha) (*.f64 (/.f64 (+.f64 2 (+.f64 alpha beta)) beta) beta)) (*.f64 (/.f64 (+.f64 2 (+.f64 alpha beta)) beta) (neg.f64 alpha)))
(/.f64 (-.f64 (*.f64 beta (/.f64 alpha beta)) (+.f64 2 (+.f64 alpha beta))) (*.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 alpha beta)))
(/.f64 (-.f64 (*.f64 beta (neg.f64 alpha)) (*.f64 beta (+.f64 2 (+.f64 alpha beta)))) (*.f64 (+.f64 2 (+.f64 alpha beta)) (neg.f64 alpha)))
(/.f64 (-.f64 (*.f64 beta (/.f64 alpha beta)) (*.f64 (-.f64 (+.f64 beta -2) alpha) 1)) (*.f64 (-.f64 (+.f64 beta -2) alpha) (/.f64 alpha beta)))
(/.f64 (-.f64 (*.f64 alpha beta) (*.f64 (-.f64 (+.f64 beta -2) alpha) beta)) (*.f64 (-.f64 (+.f64 beta -2) alpha) alpha))
(/.f64 (-.f64 (*.f64 beta (neg.f64 alpha)) (*.f64 (-.f64 (+.f64 beta -2) alpha) beta)) (*.f64 (-.f64 (+.f64 beta -2) alpha) (neg.f64 alpha)))
(/.f64 (neg.f64 (fma.f64 beta alpha (*.f64 beta (+.f64 2 (+.f64 alpha beta))))) (neg.f64 (*.f64 alpha (+.f64 2 (+.f64 alpha beta)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 3) (pow.f64 (/.f64 beta alpha) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 2) (*.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta alpha))))))
(/.f64 (neg.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta alpha)) 2)) (neg.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta alpha))))
(/.f64 (/.f64 (fma.f64 beta alpha (*.f64 beta (+.f64 2 (+.f64 alpha beta)))) (+.f64 2 (+.f64 alpha beta))) alpha)
(pow.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta alpha)) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta alpha))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta alpha)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta alpha))) 2)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta alpha)) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta alpha))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta alpha)))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta alpha)) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta alpha))))
(exp.f64 (log.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta alpha))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta alpha))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta alpha))))
(fma.f64 1 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta alpha))
(fma.f64 beta (/.f64 1 (+.f64 2 (+.f64 alpha beta))) (/.f64 beta alpha))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta)))) 2) (cbrt.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta)))) (/.f64 beta alpha))
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta)))) (sqrt.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta)))) (/.f64 beta 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 alpha (*.f64 alpha 1/4))))
(+.f64 1 (*.f64 alpha (+.f64 -1/2 (*.f64 alpha 1/4))))
(+.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 alpha (*.f64 alpha 1/4)))))
(+.f64 (*.f64 alpha (+.f64 -1/2 (*.f64 alpha 1/4))) (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 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 (/.f64 2 alpha) (-.f64 (/.f64 8 (pow.f64 alpha 3)) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4)))))
(+.f64 (/.f64 2 alpha) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.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 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 (/.f64 2 alpha) (-.f64 (/.f64 8 (pow.f64 alpha 3)) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4)))))
(+.f64 (/.f64 2 alpha) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 -4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4)))))
1
(+.f64 1 (*.f64 1/2 beta))
(fma.f64 1/2 beta 1)
(+.f64 1 (+.f64 (*.f64 1/2 beta) (*.f64 -1/4 (pow.f64 beta 2))))
(+.f64 1 (fma.f64 1/2 beta (*.f64 -1/4 (*.f64 beta beta))))
(+.f64 (fma.f64 1/2 beta 1) (*.f64 beta (*.f64 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 1/8 (pow.f64 beta 3)))))
(+.f64 (fma.f64 1/2 beta 1) (fma.f64 -1/4 (*.f64 beta beta) (*.f64 1/8 (pow.f64 beta 3))))
2
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(-.f64 2 (/.f64 2 beta))
(+.f64 2 (/.f64 -2 beta))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta)))
(+.f64 2 (-.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 2 beta)))
(+.f64 (/.f64 4 (*.f64 beta beta)) (+.f64 2 (/.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 2 (+.f64 (/.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 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 4 (*.f64 beta beta)) (+.f64 2 (/.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 2 (+.f64 (/.f64 4 (*.f64 beta beta)) (-.f64 (/.f64 -2 beta) (/.f64 8 (pow.f64 beta 3)))))
(*.f64 1/2 beta)
(+.f64 (*.f64 1/2 beta) (*.f64 -1/4 (pow.f64 beta 2)))
(fma.f64 1/2 beta (*.f64 -1/4 (*.f64 beta beta)))
(fma.f64 1/2 beta (*.f64 beta (*.f64 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 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)))))
(fma.f64 -1/16 (pow.f64 beta 4) (fma.f64 1/2 beta (fma.f64 -1/4 (*.f64 beta beta) (*.f64 1/8 (pow.f64 beta 3)))))
1
(-.f64 1 (*.f64 2 (/.f64 1 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 (/.f64 4 (*.f64 beta beta)) (-.f64 1 (/.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 1 (+.f64 (/.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 (+.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 (/.f64 4 (*.f64 beta beta)) (-.f64 1 (/.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 1 (+.f64 (/.f64 4 (*.f64 beta beta)) (-.f64 (/.f64 -2 beta) (/.f64 8 (pow.f64 beta 3)))))
(*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 alpha)))
(*.f64 beta (+.f64 (/.f64 1 alpha) (/.f64 1 (+.f64 alpha 2))))
(+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 alpha 2)))
(+.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 alpha))) (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))))
(fma.f64 beta (+.f64 (/.f64 1 alpha) (/.f64 1 (+.f64 alpha 2))) (neg.f64 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))))
(-.f64 (+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 alpha 2))) (/.f64 beta (/.f64 (pow.f64 (+.f64 alpha 2) 2) beta)))
(+.f64 (/.f64 beta (+.f64 alpha 2)) (-.f64 (/.f64 beta alpha) (/.f64 beta (/.f64 (pow.f64 (+.f64 alpha 2) 2) beta))))
(+.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 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))))
(fma.f64 beta (+.f64 (/.f64 1 alpha) (/.f64 1 (+.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 (+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 alpha 2))) (/.f64 beta (/.f64 (pow.f64 (+.f64 alpha 2) 2) beta))) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))
(+.f64 (+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 alpha 2))) (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha 2)) 3) (/.f64 beta (/.f64 (pow.f64 (+.f64 alpha 2) 2) beta))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 4) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 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)))))
(fma.f64 -1 (/.f64 (pow.f64 beta 4) (pow.f64 (+.f64 alpha 2) 4)) (fma.f64 beta (+.f64 (/.f64 1 alpha) (/.f64 1 (+.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 (-.f64 (+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 alpha 2))) (/.f64 beta (/.f64 (pow.f64 (+.f64 alpha 2) 2) beta))) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (/.f64 (pow.f64 beta 4) (pow.f64 (+.f64 alpha 2) 4)))
(+.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha 2)) 3) (/.f64 beta (/.f64 (pow.f64 (+.f64 alpha 2) 2) beta))) (-.f64 (+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 alpha 2))) (/.f64 (pow.f64 beta 4) (pow.f64 (+.f64 alpha 2) 4))))
(/.f64 beta alpha)
(+.f64 1 (/.f64 beta alpha))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 beta alpha)))
(+.f64 1 (fma.f64 -1 (/.f64 (+.f64 alpha 2) beta) (/.f64 beta alpha)))
(+.f64 (/.f64 beta alpha) (+.f64 1 (/.f64 (-.f64 -2 alpha) beta)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (/.f64 beta alpha) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))
(+.f64 1 (+.f64 (fma.f64 -1 (/.f64 (+.f64 alpha 2) beta) (/.f64 beta alpha)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))))
(+.f64 1 (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (/.f64 (-.f64 -2 alpha) beta))))
(/.f64 beta alpha)
(+.f64 1 (/.f64 beta alpha))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 beta alpha)))
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(/.f64 (fma.f64 beta alpha (*.f64 beta (+.f64 2 (+.f64 alpha beta)))) (*.f64 alpha (+.f64 2 (+.f64 alpha beta))))
(*.f64 (fma.f64 beta alpha (*.f64 beta (+.f64 2 (+.f64 alpha beta)))) (/.f64 (/.f64 1 alpha) (+.f64 2 (+.f64 alpha beta))))
(/.f64 (*.f64 beta (+.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (*.f64 alpha (+.f64 alpha (+.f64 2 beta))))
(-.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) (*.f64 1 (/.f64 beta (neg.f64 alpha))))
(/.f64 (fma.f64 beta alpha (*.f64 beta (+.f64 2 (+.f64 alpha beta)))) (*.f64 (-.f64 (+.f64 beta -2) alpha) alpha))
(/.f64 (fma.f64 beta alpha (*.f64 beta (+.f64 2 (+.f64 alpha beta)))) (*.f64 alpha (+.f64 beta (-.f64 -2 alpha))))
(/.f64 (*.f64 beta (+.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (*.f64 alpha (+.f64 beta (-.f64 -2 alpha))))
(/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 3) (pow.f64 (/.f64 beta alpha) 3)) (+.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 2) (*.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta alpha)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 2) (*.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 2 (+.f64 alpha beta)))))) (+.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 3) (pow.f64 (/.f64 beta alpha) 3))))
(/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) 3) (pow.f64 (/.f64 beta alpha) 3)) (fma.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) 2)))
(/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 3) (pow.f64 (/.f64 beta alpha) 3)) (+.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 2) (-.f64 (pow.f64 (/.f64 beta alpha) 2) (/.f64 (*.f64 beta beta) (*.f64 alpha (+.f64 2 (+.f64 alpha beta)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 3) (pow.f64 (/.f64 beta alpha) 3)) (+.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 2) (-.f64 (pow.f64 (/.f64 beta alpha) 2) (*.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 2 (+.f64 alpha beta)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) 3) (pow.f64 (/.f64 beta alpha) 3)) (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) 2) (*.f64 (/.f64 beta alpha) (-.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 alpha (+.f64 2 beta)))))))
(/.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta alpha)) 2) (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta alpha)))
(+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))
(+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))
(/.f64 (+.f64 (/.f64 alpha beta) (*.f64 (/.f64 (+.f64 2 (+.f64 alpha beta)) beta) 1)) (*.f64 (/.f64 (+.f64 2 (+.f64 alpha beta)) beta) (/.f64 alpha beta)))
(/.f64 (+.f64 (/.f64 alpha beta) (/.f64 (+.f64 2 (+.f64 alpha beta)) beta)) (/.f64 (*.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 alpha beta)) beta))
(/.f64 (+.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha (+.f64 2 beta)) beta)) (/.f64 (+.f64 alpha (+.f64 2 beta)) (/.f64 beta (/.f64 alpha beta))))
(/.f64 (+.f64 alpha (*.f64 (/.f64 (+.f64 2 (+.f64 alpha beta)) beta) beta)) (*.f64 (/.f64 (+.f64 2 (+.f64 alpha beta)) beta) alpha))
(/.f64 (+.f64 alpha (*.f64 beta (/.f64 (+.f64 2 (+.f64 alpha beta)) beta))) (*.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 alpha beta)))
(/.f64 (fma.f64 beta (/.f64 (+.f64 alpha (+.f64 2 beta)) beta) alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) (/.f64 alpha beta)))
(/.f64 (+.f64 alpha (/.f64 (+.f64 alpha (+.f64 2 beta)) 1)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (/.f64 alpha beta)))
(/.f64 (+.f64 (neg.f64 alpha) (*.f64 (/.f64 (+.f64 2 (+.f64 alpha beta)) beta) beta)) (*.f64 (/.f64 (+.f64 2 (+.f64 alpha beta)) beta) (neg.f64 alpha)))
(/.f64 (+.f64 (*.f64 beta (/.f64 (+.f64 2 (+.f64 alpha beta)) beta)) (neg.f64 alpha)) (*.f64 (/.f64 (+.f64 2 (+.f64 alpha beta)) beta) (neg.f64 alpha)))
(*.f64 (/.f64 (-.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (/.f64 beta beta)) alpha) (*.f64 alpha (+.f64 -2 (neg.f64 (+.f64 alpha beta))))) beta)
(-.f64 (*.f64 1 (/.f64 beta (neg.f64 alpha))) (/.f64 alpha (*.f64 alpha (/.f64 (-.f64 -2 (+.f64 alpha beta)) beta))))
(/.f64 (+.f64 (*.f64 beta (/.f64 alpha beta)) (+.f64 2 (+.f64 alpha beta))) (*.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 alpha beta)))
(/.f64 (fma.f64 beta (/.f64 alpha beta) (+.f64 2 (+.f64 alpha beta))) (*.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 alpha beta)))
(*.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 beta (/.f64 alpha beta) 2)) (*.f64 alpha (+.f64 alpha (+.f64 2 beta)))) beta)
(*.f64 (/.f64 (+.f64 2 (+.f64 (+.f64 alpha beta) (/.f64 alpha 1))) (*.f64 alpha (+.f64 alpha (+.f64 2 beta)))) beta)
(/.f64 (+.f64 (*.f64 beta (neg.f64 alpha)) (*.f64 beta (+.f64 2 (+.f64 alpha beta)))) (*.f64 (+.f64 2 (+.f64 alpha beta)) (neg.f64 alpha)))
(/.f64 (*.f64 beta (+.f64 (neg.f64 alpha) (+.f64 2 (+.f64 alpha beta)))) (*.f64 (+.f64 2 (+.f64 alpha beta)) (neg.f64 alpha)))
(*.f64 (/.f64 beta alpha) (/.f64 (fma.f64 -1 alpha (+.f64 alpha (+.f64 2 beta))) (+.f64 -2 (neg.f64 (+.f64 alpha beta)))))
(*.f64 (/.f64 beta alpha) (/.f64 (-.f64 (+.f64 alpha (+.f64 2 beta)) alpha) (-.f64 -2 (+.f64 alpha beta))))
(/.f64 (+.f64 (*.f64 beta (/.f64 alpha beta)) (*.f64 (-.f64 (+.f64 beta -2) alpha) 1)) (*.f64 (-.f64 (+.f64 beta -2) alpha) (/.f64 alpha beta)))
(/.f64 (fma.f64 beta (/.f64 alpha beta) (+.f64 beta (-.f64 -2 alpha))) (*.f64 (/.f64 alpha beta) (+.f64 beta (-.f64 -2 alpha))))
(*.f64 (/.f64 (fma.f64 beta (/.f64 alpha beta) (+.f64 beta (-.f64 -2 alpha))) (*.f64 alpha (+.f64 beta (-.f64 -2 alpha)))) beta)
(*.f64 (/.f64 (+.f64 beta (+.f64 (-.f64 -2 alpha) (/.f64 alpha 1))) (*.f64 alpha (+.f64 beta (-.f64 -2 alpha)))) beta)
(/.f64 (+.f64 (*.f64 beta (neg.f64 alpha)) (*.f64 (-.f64 (+.f64 beta -2) alpha) beta)) (*.f64 (-.f64 (+.f64 beta -2) alpha) (neg.f64 alpha)))
(/.f64 (fma.f64 beta (neg.f64 alpha) (*.f64 beta (+.f64 beta (-.f64 -2 alpha)))) (*.f64 (neg.f64 alpha) (+.f64 beta (-.f64 -2 alpha))))
(/.f64 (*.f64 beta (+.f64 (neg.f64 alpha) (+.f64 beta (-.f64 -2 alpha)))) (*.f64 alpha (neg.f64 (+.f64 beta (-.f64 -2 alpha)))))
(/.f64 (*.f64 beta (-.f64 (+.f64 beta (-.f64 -2 alpha)) alpha)) (*.f64 alpha (+.f64 (neg.f64 beta) (+.f64 alpha 2))))
(/.f64 (-.f64 (/.f64 alpha beta) (*.f64 (/.f64 (+.f64 2 (+.f64 alpha beta)) beta) 1)) (*.f64 (/.f64 (+.f64 2 (+.f64 alpha beta)) beta) (/.f64 alpha beta)))
(/.f64 (-.f64 (/.f64 alpha beta) (/.f64 (+.f64 2 (+.f64 alpha beta)) beta)) (/.f64 (*.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 alpha beta)) beta))
(*.f64 (/.f64 (-.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha (+.f64 2 beta)) beta)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (/.f64 alpha beta))) beta)
(-.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) (/.f64 beta alpha))
(/.f64 (-.f64 alpha (*.f64 (/.f64 (+.f64 2 (+.f64 alpha beta)) beta) beta)) (*.f64 (/.f64 (+.f64 2 (+.f64 alpha beta)) beta) alpha))
(/.f64 (-.f64 (/.f64 alpha beta) (/.f64 (+.f64 2 (+.f64 alpha beta)) beta)) (/.f64 (*.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 alpha beta)) beta))
(*.f64 (/.f64 (-.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha (+.f64 2 beta)) beta)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (/.f64 alpha beta))) beta)
(-.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) (/.f64 beta alpha))
(/.f64 (-.f64 (neg.f64 alpha) (*.f64 (/.f64 (+.f64 2 (+.f64 alpha beta)) beta) beta)) (*.f64 (/.f64 (+.f64 2 (+.f64 alpha beta)) beta) (neg.f64 alpha)))
(*.f64 (fma.f64 beta alpha (*.f64 beta (+.f64 2 (+.f64 alpha beta)))) (/.f64 (/.f64 1 alpha) (+.f64 2 (+.f64 alpha beta))))
(/.f64 (*.f64 beta (+.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (*.f64 alpha (+.f64 alpha (+.f64 2 beta))))
(-.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) (*.f64 1 (/.f64 beta (neg.f64 alpha))))
(/.f64 (-.f64 (*.f64 beta (/.f64 alpha beta)) (+.f64 2 (+.f64 alpha beta))) (*.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 alpha beta)))
(/.f64 (-.f64 (/.f64 alpha beta) (/.f64 (+.f64 2 (+.f64 alpha beta)) beta)) (/.f64 (*.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 alpha beta)) beta))
(*.f64 (/.f64 (-.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha (+.f64 2 beta)) beta)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (/.f64 alpha beta))) beta)
(-.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) (/.f64 beta alpha))
(/.f64 (-.f64 (*.f64 beta (neg.f64 alpha)) (*.f64 beta (+.f64 2 (+.f64 alpha beta)))) (*.f64 (+.f64 2 (+.f64 alpha beta)) (neg.f64 alpha)))
(*.f64 (fma.f64 beta alpha (*.f64 beta (+.f64 2 (+.f64 alpha beta)))) (/.f64 (/.f64 1 alpha) (+.f64 2 (+.f64 alpha beta))))
(/.f64 (*.f64 beta (+.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (*.f64 alpha (+.f64 alpha (+.f64 2 beta))))
(-.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) (*.f64 1 (/.f64 beta (neg.f64 alpha))))
(/.f64 (-.f64 (*.f64 beta (/.f64 alpha beta)) (*.f64 (-.f64 (+.f64 beta -2) alpha) 1)) (*.f64 (-.f64 (+.f64 beta -2) alpha) (/.f64 alpha beta)))
(/.f64 (-.f64 (*.f64 beta (/.f64 alpha beta)) (+.f64 beta (-.f64 -2 alpha))) (*.f64 (/.f64 alpha beta) (+.f64 beta (-.f64 -2 alpha))))
(*.f64 (/.f64 (-.f64 (*.f64 beta (/.f64 alpha beta)) (+.f64 beta (-.f64 -2 alpha))) (*.f64 alpha (+.f64 beta (-.f64 -2 alpha)))) beta)
(-.f64 (*.f64 1 (/.f64 beta (+.f64 beta (-.f64 -2 alpha)))) (/.f64 beta alpha))
(/.f64 (-.f64 (*.f64 alpha beta) (*.f64 (-.f64 (+.f64 beta -2) alpha) beta)) (*.f64 (-.f64 (+.f64 beta -2) alpha) alpha))
(/.f64 (-.f64 (*.f64 beta (/.f64 alpha beta)) (+.f64 beta (-.f64 -2 alpha))) (*.f64 (/.f64 alpha beta) (+.f64 beta (-.f64 -2 alpha))))
(*.f64 (/.f64 (-.f64 (*.f64 beta (/.f64 alpha beta)) (+.f64 beta (-.f64 -2 alpha))) (*.f64 alpha (+.f64 beta (-.f64 -2 alpha)))) beta)
(-.f64 (*.f64 1 (/.f64 beta (+.f64 beta (-.f64 -2 alpha)))) (/.f64 beta alpha))
(/.f64 (-.f64 (*.f64 beta (neg.f64 alpha)) (*.f64 (-.f64 (+.f64 beta -2) alpha) beta)) (*.f64 (-.f64 (+.f64 beta -2) alpha) (neg.f64 alpha)))
(/.f64 (-.f64 (*.f64 beta (neg.f64 alpha)) (*.f64 beta (+.f64 beta (-.f64 -2 alpha)))) (*.f64 (neg.f64 alpha) (+.f64 beta (-.f64 -2 alpha))))
(/.f64 (*.f64 beta (-.f64 (neg.f64 alpha) (+.f64 beta (-.f64 -2 alpha)))) (*.f64 alpha (neg.f64 (+.f64 beta (-.f64 -2 alpha)))))
(-.f64 (*.f64 1 (/.f64 beta (+.f64 beta (-.f64 -2 alpha)))) (*.f64 1 (/.f64 beta (neg.f64 alpha))))
(/.f64 (neg.f64 (fma.f64 beta alpha (*.f64 beta (+.f64 2 (+.f64 alpha beta))))) (neg.f64 (*.f64 alpha (+.f64 2 (+.f64 alpha beta)))))
(*.f64 (fma.f64 beta alpha (*.f64 beta (+.f64 2 (+.f64 alpha beta)))) (/.f64 (/.f64 1 alpha) (+.f64 2 (+.f64 alpha beta))))
(/.f64 (*.f64 beta (+.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (*.f64 alpha (+.f64 alpha (+.f64 2 beta))))
(-.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) (*.f64 1 (/.f64 beta (neg.f64 alpha))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 3) (pow.f64 (/.f64 beta alpha) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 2) (*.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta alpha))))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 2) (*.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 2 (+.f64 alpha beta)))))) (+.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 3) (pow.f64 (/.f64 beta alpha) 3))))
(/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) 3) (pow.f64 (/.f64 beta alpha) 3)) (fma.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) 2)))
(/.f64 (neg.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta alpha)) 2)) (neg.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta alpha))))
(+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))
(+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))
(/.f64 (/.f64 (fma.f64 beta alpha (*.f64 beta (+.f64 2 (+.f64 alpha beta)))) (+.f64 2 (+.f64 alpha beta))) alpha)
(*.f64 (fma.f64 beta alpha (*.f64 beta (+.f64 2 (+.f64 alpha beta)))) (/.f64 (/.f64 1 alpha) (+.f64 2 (+.f64 alpha beta))))
(/.f64 (*.f64 beta (+.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (*.f64 alpha (+.f64 alpha (+.f64 2 beta))))
(-.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) (*.f64 1 (/.f64 beta (neg.f64 alpha))))
(pow.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta alpha)) 1)
(+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))
(+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta alpha))) 3)
(+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))
(+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))
(pow.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta alpha)) 3) 1/3)
(+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))
(+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta alpha))) 2)
(+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))
(+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta alpha)) 2))
(+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))
(+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))
(log.f64 (exp.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta alpha))))
(+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))
(+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta alpha)))))
(+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))
(+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta alpha)) 3))
(+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))
(+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta alpha))))
(+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))
(+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))
(exp.f64 (log.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta alpha))))
(+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))
(+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta alpha))) 1))
(+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))
(+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta alpha))))
(+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))
(+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))
(fma.f64 1 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta alpha))
(+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))
(+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))
(fma.f64 beta (/.f64 1 (+.f64 2 (+.f64 alpha beta))) (/.f64 beta alpha))
(+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))
(+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta)))) 2) (cbrt.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta)))) (/.f64 beta alpha))
(+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))
(+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta)))) (sqrt.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta)))) (/.f64 beta alpha))
(+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))
(+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))

eval135.0ms (1.3%)

Compiler

Compiled 6627 to 4445 computations (32.9% saved)

prune88.0ms (0.8%)

Pruning

18 alts after pruning (10 fresh and 8 done)

PrunedKeptTotal
New3406346
Fresh145
Picked145
Done044
Total34218360
Accurracy
100.0%
Counts
360 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
30.1%
(/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) 2)
8.0%
(/.f64 (/.f64 (+.f64 beta beta) alpha) 2)
26.6%
(/.f64 (/.f64 (+.f64 beta 2) alpha) 2)
30.7%
(/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2)
4.8%
(/.f64 (/.f64 beta alpha) 2)
26.1%
(/.f64 (/.f64 2 alpha) 2)
62.9%
(/.f64 (/.f64 1 (+.f64 (*.f64 -1 -1/2) (*.f64 -1 (/.f64 alpha (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))))) 2)
71.9%
(/.f64 (/.f64 1 (+.f64 1 (*.f64 1/2 alpha))) 2)
6.9%
(/.f64 (-.f64 (/.f64 (+.f64 beta beta) alpha) (*.f64 (/.f64 beta alpha) (/.f64 (+.f64 2 beta) alpha))) 2)
27.9%
(/.f64 (-.f64 2 (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta)) 2)
28.0%
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
47.1%
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
73.6%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
70.8%
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
7.9%
(/.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta alpha)) 2)
45.7%
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
35.3%
(/.f64 2 2)
49.0%
(/.f64 1 2)
Compiler

Compiled 801 to 577 computations (28% saved)

regimes111.0ms (1%)

Counts
39 → 2
Calls
Call 1
Inputs
(/.f64 1 2)
(/.f64 2 2)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (/.f64 beta alpha) 2)
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
(/.f64 (/.f64 (+.f64 beta 2) alpha) 2)
(/.f64 (/.f64 (+.f64 beta beta) alpha) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
(/.f64 (/.f64 1 (+.f64 1 (*.f64 1/2 alpha))) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2)
(/.f64 (-.f64 2 (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta)) 2)
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta 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 (neg.f64 beta) alpha)) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 (neg.f64 beta) -2) alpha)) 2)
(/.f64 (-.f64 (/.f64 (+.f64 beta beta) alpha) (*.f64 (/.f64 beta alpha) (/.f64 (+.f64 2 beta) alpha))) 2)
(/.f64 (-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
(/.f64 (/.f64 1 (+.f64 (*.f64 -1 -1/2) (*.f64 -1 (/.f64 alpha (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))))) 2)
(/.f64 (/.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)))) 2)
(/.f64 (/.f64 1 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) -1))) 2)
(/.f64 (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) 2)
(/.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (fma.f64 alpha (/.f64 1 (+.f64 beta (+.f64 alpha 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 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) 2)
(/.f64 (/.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))) 2)
(/.f64 (pow.f64 (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2) 2)
(/.f64 (pow.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2) 2)
(/.f64 (/.f64 1 (+.f64 (*.f64 -1 (+.f64 1/2 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2)) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2))))) (*.f64 -1 (/.f64 alpha (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))))) 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 1 (+.f64 (*.f64 -1 (+.f64 1/2 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2)) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2))))) (*.f64 -1 (/.f64 alpha (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))))) 2)
(/.f64 (/.f64 1 (+.f64 (*.f64 -1 -1/2) (*.f64 -1 (/.f64 alpha (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))))) 2)
Calls

5 calls:

32.0ms
alpha
31.0ms
beta
18.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
8.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
7.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
Results
AccuracySegmentsBranch
99.5%2alpha
99.9%2beta
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 637 to 445 computations (30.1% saved)

regimes79.0ms (0.7%)

Counts
37 → 2
Calls
Call 1
Inputs
(/.f64 1 2)
(/.f64 2 2)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (/.f64 beta alpha) 2)
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
(/.f64 (/.f64 (+.f64 beta 2) alpha) 2)
(/.f64 (/.f64 (+.f64 beta beta) alpha) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
(/.f64 (/.f64 1 (+.f64 1 (*.f64 1/2 alpha))) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2)
(/.f64 (-.f64 2 (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta)) 2)
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta 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 (neg.f64 beta) alpha)) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 (neg.f64 beta) -2) alpha)) 2)
(/.f64 (-.f64 (/.f64 (+.f64 beta beta) alpha) (*.f64 (/.f64 beta alpha) (/.f64 (+.f64 2 beta) alpha))) 2)
(/.f64 (-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
(/.f64 (/.f64 1 (+.f64 (*.f64 -1 -1/2) (*.f64 -1 (/.f64 alpha (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))))) 2)
(/.f64 (/.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)))) 2)
(/.f64 (/.f64 1 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) -1))) 2)
(/.f64 (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) 2)
(/.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (fma.f64 alpha (/.f64 1 (+.f64 beta (+.f64 alpha 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 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) 2)
(/.f64 (/.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))) 2)
(/.f64 (pow.f64 (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2) 2)
(/.f64 (pow.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2) 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

4 calls:

31.0ms
beta
18.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
11.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
7.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
Results
AccuracySegmentsBranch
99.9%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
99.9%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
99.9%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
98.4%2beta
Compiler

Compiled 537 to 369 computations (31.3% saved)

regimes98.0ms (0.9%)

Counts
32 → 2
Calls
Call 1
Inputs
(/.f64 1 2)
(/.f64 2 2)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (/.f64 beta alpha) 2)
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
(/.f64 (/.f64 (+.f64 beta 2) alpha) 2)
(/.f64 (/.f64 (+.f64 beta beta) alpha) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
(/.f64 (/.f64 1 (+.f64 1 (*.f64 1/2 alpha))) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2)
(/.f64 (-.f64 2 (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta)) 2)
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta 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 (neg.f64 beta) alpha)) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 (neg.f64 beta) -2) alpha)) 2)
(/.f64 (-.f64 (/.f64 (+.f64 beta beta) alpha) (*.f64 (/.f64 beta alpha) (/.f64 (+.f64 2 beta) alpha))) 2)
(/.f64 (-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
(/.f64 (/.f64 1 (+.f64 (*.f64 -1 -1/2) (*.f64 -1 (/.f64 alpha (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))))) 2)
(/.f64 (/.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)))) 2)
(/.f64 (/.f64 1 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) -1))) 2)
(/.f64 (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) 2)
(/.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (fma.f64 alpha (/.f64 1 (+.f64 beta (+.f64 alpha 2))) -1)) 2)
Outputs
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (/.f64 1 (+.f64 (*.f64 -1 -1/2) (*.f64 -1 (/.f64 alpha (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))))) 2)
Calls

4 calls:

29.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
28.0ms
alpha
22.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
7.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
Results
AccuracySegmentsBranch
99.5%2alpha
99.5%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
99.5%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
99.5%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
Compiler

Compiled 431 to 298 computations (30.9% saved)

regimes102.0ms (0.9%)

Counts
26 → 2
Calls
Call 1
Inputs
(/.f64 1 2)
(/.f64 2 2)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (/.f64 beta alpha) 2)
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
(/.f64 (/.f64 (+.f64 beta 2) alpha) 2)
(/.f64 (/.f64 (+.f64 beta beta) alpha) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
(/.f64 (/.f64 1 (+.f64 1 (*.f64 1/2 alpha))) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2)
(/.f64 (-.f64 2 (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta)) 2)
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta 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 (neg.f64 beta) alpha)) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 (neg.f64 beta) -2) alpha)) 2)
(/.f64 (-.f64 (/.f64 (+.f64 beta beta) alpha) (*.f64 (/.f64 beta alpha) (/.f64 (+.f64 2 beta) alpha))) 2)
(/.f64 (-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
Outputs
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
Calls

4 calls:

42.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
40.0ms
alpha
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
99.1%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
99.1%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
99.1%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
94.0%2alpha
Compiler

Compiled 298 to 207 computations (30.5% saved)

regimes34.0ms (0.3%)

Counts
25 → 2
Calls
Call 1
Inputs
(/.f64 1 2)
(/.f64 2 2)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (/.f64 beta alpha) 2)
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
(/.f64 (/.f64 (+.f64 beta 2) alpha) 2)
(/.f64 (/.f64 (+.f64 beta beta) alpha) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
(/.f64 (/.f64 1 (+.f64 1 (*.f64 1/2 alpha))) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2)
(/.f64 (-.f64 2 (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta)) 2)
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta 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 (neg.f64 beta) alpha)) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 (neg.f64 beta) -2) alpha)) 2)
(/.f64 (-.f64 (/.f64 (+.f64 beta beta) alpha) (*.f64 (/.f64 beta alpha) (/.f64 (+.f64 2 beta) alpha))) 2)
(/.f64 (-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 2)
Outputs
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(/.f64 (-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 2)
Calls

3 calls:

15.0ms
(/.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
99.1%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
99.1%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
99.1%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
Compiler

Compiled 276 to 192 computations (30.4% saved)

regimes53.0ms (0.5%)

Counts
24 → 2
Calls
Call 1
Inputs
(/.f64 1 2)
(/.f64 2 2)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (/.f64 beta alpha) 2)
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
(/.f64 (/.f64 (+.f64 beta 2) alpha) 2)
(/.f64 (/.f64 (+.f64 beta beta) alpha) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
(/.f64 (/.f64 1 (+.f64 1 (*.f64 1/2 alpha))) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2)
(/.f64 (-.f64 2 (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta)) 2)
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta 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 (neg.f64 beta) alpha)) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 (neg.f64 beta) -2) alpha)) 2)
(/.f64 (-.f64 (/.f64 (+.f64 beta beta) alpha) (*.f64 (/.f64 beta alpha) (/.f64 (+.f64 2 beta) alpha))) 2)
Outputs
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
Calls

3 calls:

33.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
8.0ms
(+.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
99.1%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
99.1%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
99.1%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
Compiler

Compiled 257 to 179 computations (30.4% saved)

regimes51.0ms (0.5%)

Counts
19 → 2
Calls
Call 1
Inputs
(/.f64 1 2)
(/.f64 2 2)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (/.f64 beta alpha) 2)
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
(/.f64 (/.f64 (+.f64 beta 2) alpha) 2)
(/.f64 (/.f64 (+.f64 beta beta) alpha) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
(/.f64 (/.f64 1 (+.f64 1 (*.f64 1/2 alpha))) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2)
(/.f64 (-.f64 2 (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta)) 2)
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) (/.f64 beta alpha)) 2)
Outputs
(/.f64 (/.f64 1 (+.f64 1 (*.f64 1/2 alpha))) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
Calls

2 calls:

29.0ms
alpha
18.0ms
beta
Results
AccuracySegmentsBranch
92.9%2alpha
93.9%2beta
Compiler

Compiled 151 to 114 computations (24.5% saved)

regimes52.0ms (0.5%)

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 beta alpha) 2)
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
(/.f64 (/.f64 (+.f64 beta 2) alpha) 2)
(/.f64 (/.f64 (+.f64 beta beta) alpha) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
Outputs
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
(/.f64 (/.f64 (+.f64 beta 2) alpha) 2)
Calls

2 calls:

35.0ms
beta
14.0ms
alpha
Results
AccuracySegmentsBranch
88.8%2alpha
75.6%5beta
Compiler

Compiled 89 to 69 computations (22.5% saved)

regimes103.0ms (1%)

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

2 calls:

67.0ms
alpha
34.0ms
beta
Results
AccuracySegmentsBranch
74.6%6beta
73.9%4alpha
Compiler

Compiled 71 to 55 computations (22.5% saved)

regimes23.0ms (0.2%)

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

1 calls:

21.0ms
alpha
Results
AccuracySegmentsBranch
73.2%4alpha
Compiler

Compiled 54 to 44 computations (18.5% saved)

regimes19.0ms (0.2%)

Counts
7 → 4
Calls
Call 1
Inputs
(/.f64 1 2)
(/.f64 2 2)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (/.f64 beta alpha) 2)
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
Outputs
(/.f64 1 2)
(/.f64 2 2)
(/.f64 1 2)
(/.f64 (/.f64 2 alpha) 2)
Calls

1 calls:

17.0ms
alpha
Results
AccuracySegmentsBranch
72.8%4alpha
Compiler

Compiled 40 to 32 computations (20% saved)

regimes45.0ms (0.4%)

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

2 calls:

32.0ms
beta
12.0ms
alpha
Results
AccuracySegmentsBranch
69.4%2beta
56.1%4alpha
Compiler

Compiled 19 to 17 computations (10.5% saved)

regimes6.0ms (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:

3.0ms
beta
2.0ms
alpha
Results
AccuracySegmentsBranch
49.0%1alpha
49.0%1beta
Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch13.0ms (0.1%)

Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
13.0ms
104435957974.9643
352346576521374140.0
Results
6.0ms51×body256valid
3.0ms17×body1024valid
2.0ms12×body512valid
Compiler

Compiled 420 to 350 computations (16.7% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999999070563288
-0.9995592051647728
Compiler

Compiled 20 to 15 computations (25% saved)

bsearch12.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
51945840.25865254
571259669.6274254
Results
10.0ms96×body256valid
Compiler

Compiled 248 to 201 computations (19% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999999964989652
-0.9999999859137525
Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999999964989652
-0.9999999859137525
Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999999964989652
-0.9999999859137525
Compiler

Compiled 20 to 15 computations (25% saved)

bsearch19.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
19.0ms
2.944144462939403e-28
1.6447013646137525e-24
Results
8.0ms83×body256valid
7.0ms33×body1024valid
2.0ms11×body512valid
0.0msbody2048valid
Compiler

Compiled 212 to 183 computations (13.7% saved)

bsearch18.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
17.0ms
3.0983585986096e-7
14.723651791524794
Results
14.0ms144×body256valid
Compiler

Compiled 218 to 177 computations (18.8% saved)

bsearch49.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
3.0983585986096e-7
14.723651791524794
16.0ms
-2.6649032311799263e-169
-1.129682088006782e-174
16.0ms
-1.0462139870448413e-109
-1.8822650077389667e-114
Results
43.0ms416×body256valid
Compiler

Compiled 472 to 423 computations (10.4% saved)

bsearch50.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
18.0ms
3.0983585986096e-7
14.723651791524794
17.0ms
-2.6649032311799263e-169
-1.129682088006782e-174
15.0ms
-1.0462139870448413e-109
-1.8822650077389667e-114
Results
44.0ms416×body256valid
Compiler

Compiled 454 to 414 computations (8.8% saved)

bsearch50.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
18.0ms
3.0983585986096e-7
14.723651791524794
18.0ms
-2.6649032311799263e-169
-1.129682088006782e-174
14.0ms
-1.0462139870448413e-109
-1.8822650077389667e-114
Results
45.0ms416×body256valid
Compiler

Compiled 350 to 336 computations (4% saved)

bsearch30.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
29.0ms
0.3914283578999105
1132.6818161683693
Results
20.0ms87×body256valid
5.0ms25×body1024valid
2.0ms14×body512valid
0.0msbody2048valid
Compiler

Compiled 116 to 111 computations (4.3% saved)

simplify72.0ms (0.7%)

Algorithm
egg-herbie
Rules
294×unsub-neg
160×neg-mul-1
134×distribute-lft-neg-in
130×+-commutative
106×neg-sub0
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01221081
11711069
22171069
32771065
43191061
53431061
63691061
74031061
84451061
95041061
106111061
117421061
127921061
138421061
148771061
158961061
169031061
179041061
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 beta 5000000000000000) (/.f64 (/.f64 1 (+.f64 (*.f64 -1 (+.f64 1/2 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2)) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2))))) (*.f64 -1 (/.f64 alpha (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))))) 2) (/.f64 (/.f64 1 (+.f64 (*.f64 -1 -1/2) (*.f64 -1 (/.f64 alpha (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1125449546879887/1125899906842624) (/.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 alpha 280000000) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) (/.f64 (/.f64 1 (+.f64 (*.f64 -1 -1/2) (*.f64 -1 (/.f64 alpha (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007199164668999/9007199254740992) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007199164668999/9007199254740992) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007199164668999/9007199254740992) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 beta 8820118950590725/5444517870735015415413993718908291383296) (/.f64 (/.f64 1 (+.f64 1 (*.f64 1/2 alpha))) 2) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2))
(if (<=.f64 alpha 29/2) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 beta 2) alpha) 2))
(if (<=.f64 alpha -1317018104707387/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456) (/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) (if (<=.f64 alpha -4504050179086185/16996415770136547158066822609678996074546979767265021542382212422412913915547271767653200072487337141404458543559888032491090538804886631661104639320530795262202600666732583009015300096) (/.f64 2 2) (if (<=.f64 alpha 2) (/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) (/.f64 (/.f64 (+.f64 beta 2) alpha) 2))))
(if (<=.f64 alpha -1317018104707387/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456) (/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) (if (<=.f64 alpha -3943168458671679/67985663080546188632267290438715984298187919069060086169528849689651655662189087070612800289949348565617834174239552129964362155219546526644418557282123181048810402666930332036061200384) (/.f64 2 2) (if (<=.f64 alpha 8106479329266893/9007199254740992) (/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) (/.f64 (/.f64 2 alpha) 2))))
(if (<=.f64 alpha -1317018104707387/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456) (/.f64 1 2) (if (<=.f64 alpha -8838136200471005/33992831540273094316133645219357992149093959534530043084764424844825827831094543535306400144974674282808917087119776064982181077609773263322209278641061590524405201333465166018030600192) (/.f64 2 2) (if (<=.f64 alpha 2) (/.f64 1 2) (/.f64 (/.f64 2 alpha) 2))))
(if (<=.f64 beta 2308094809027379/1125899906842624) (/.f64 1 2) (/.f64 2 2))
(/.f64 1 2)
Outputs
(if (<=.f64 beta 5000000000000000) (/.f64 (/.f64 1 (+.f64 (*.f64 -1 (+.f64 1/2 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2)) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2))))) (*.f64 -1 (/.f64 alpha (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))))) 2) (/.f64 (/.f64 1 (+.f64 (*.f64 -1 -1/2) (*.f64 -1 (/.f64 alpha (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))))) 2))
(if (<=.f64 beta 5000000000000000) (/.f64 (/.f64 1 (+.f64 (neg.f64 (+.f64 1/2 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) (+.f64 beta 2)))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2)) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))))) (neg.f64 (/.f64 alpha (-.f64 (neg.f64 beta) (+.f64 beta 2)))))) 2) (/.f64 (/.f64 1 (+.f64 1/2 (neg.f64 (/.f64 alpha (-.f64 (neg.f64 beta) (+.f64 beta 2)))))) 2))
(if (<=.f64 beta 5000000000000000) (/.f64 (/.f64 1 (-.f64 (neg.f64 (+.f64 1/2 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) (+.f64 beta 2)))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2)) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))))) (/.f64 alpha (-.f64 (neg.f64 beta) (+.f64 beta 2))))) 2) (/.f64 (/.f64 1 (-.f64 1/2 (/.f64 alpha (-.f64 (neg.f64 beta) (+.f64 beta 2))))) 2))
(if (<=.f64 beta 5000000000000000) (/.f64 (/.f64 1 (-.f64 (-.f64 (neg.f64 1/2) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) (+.f64 beta 2)))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2)) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2)))) (/.f64 alpha (-.f64 (neg.f64 beta) (+.f64 beta 2))))) 2) (/.f64 (/.f64 1 (-.f64 1/2 (/.f64 alpha (-.f64 (neg.f64 beta) (+.f64 beta 2))))) 2))
(if (<=.f64 beta 5000000000000000) (/.f64 (/.f64 1 (-.f64 (-.f64 (*.f64 1/2 (/.f64 (+.f64 (neg.f64 (*.f64 -2 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2)) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) 1/2) (/.f64 alpha (-.f64 (neg.f64 beta) (+.f64 beta 2))))) 2) (/.f64 (/.f64 1 (-.f64 1/2 (/.f64 alpha (-.f64 (neg.f64 beta) (+.f64 beta 2))))) 2))
(if (<=.f64 beta 5000000000000000) (/.f64 (/.f64 1 (-.f64 (-.f64 (*.f64 1/2 (/.f64 (-.f64 (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2) (*.f64 -2 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) 2))) 1/2) (/.f64 alpha (-.f64 (neg.f64 beta) (+.f64 beta 2))))) 2) (/.f64 (/.f64 1 (-.f64 1/2 (/.f64 alpha (-.f64 (neg.f64 beta) (+.f64 beta 2))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1125449546879887/1125899906842624) (/.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 2 (+.f64 beta alpha))) -1125449546879887/1125899906842624) (/.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 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))) 2))
(if (<=.f64 alpha 280000000) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) (/.f64 (/.f64 1 (+.f64 (*.f64 -1 -1/2) (*.f64 -1 (/.f64 alpha (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))))) 2))
(if (<=.f64 alpha 280000000) (/.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))) 2) (/.f64 (/.f64 1 (+.f64 1/2 (neg.f64 (/.f64 alpha (-.f64 (neg.f64 beta) (+.f64 beta 2)))))) 2))
(if (<=.f64 alpha 280000000) (/.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))) 2) (/.f64 (/.f64 1 (-.f64 1/2 (/.f64 alpha (-.f64 (neg.f64 beta) (+.f64 beta 2))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007199164668999/9007199254740992) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) -9007199164668999/9007199254740992) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 2 alpha))) 1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) -9007199164668999/9007199254740992) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (+.f64 -1 (/.f64 alpha (+.f64 beta (+.f64 2 alpha))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) -9007199164668999/9007199254740992) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2) (/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (-.f64 1 (/.f64 alpha (+.f64 beta (+.f64 2 alpha))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007199164668999/9007199254740992) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) -9007199164668999/9007199254740992) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2) (/.f64 (-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 2 alpha)))) (/.f64 alpha (+.f64 beta (+.f64 2 alpha)))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007199164668999/9007199254740992) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) -9007199164668999/9007199254740992) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2) (/.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))) 2))
(if (<=.f64 beta 8820118950590725/5444517870735015415413993718908291383296) (/.f64 (/.f64 1 (+.f64 1 (*.f64 1/2 alpha))) 2) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2))
(if (<=.f64 beta 8820118950590725/5444517870735015415413993718908291383296) (/.f64 (/.f64 1 (+.f64 1 (*.f64 1/2 alpha))) 2) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2))
(if (<=.f64 alpha 29/2) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 beta 2) alpha) 2))
(if (<=.f64 alpha 29/2) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 (+.f64 beta 2) alpha) 2))
(if (<=.f64 alpha -1317018104707387/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456) (/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) (if (<=.f64 alpha -4504050179086185/16996415770136547158066822609678996074546979767265021542382212422412913915547271767653200072487337141404458543559888032491090538804886631661104639320530795262202600666732583009015300096) (/.f64 2 2) (if (<=.f64 alpha 2) (/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) (/.f64 (/.f64 (+.f64 beta 2) alpha) 2))))
(if (<=.f64 alpha -1317018104707387/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456) (/.f64 (-.f64 1 (*.f64 1/2 alpha)) 2) (if (<=.f64 alpha -4504050179086185/16996415770136547158066822609678996074546979767265021542382212422412913915547271767653200072487337141404458543559888032491090538804886631661104639320530795262202600666732583009015300096) 1 (if (<=.f64 alpha 2) (/.f64 (-.f64 1 (*.f64 1/2 alpha)) 2) (/.f64 (/.f64 (+.f64 beta 2) alpha) 2))))
(if (<=.f64 alpha -1317018104707387/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456) (/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) (if (<=.f64 alpha -3943168458671679/67985663080546188632267290438715984298187919069060086169528849689651655662189087070612800289949348565617834174239552129964362155219546526644418557282123181048810402666930332036061200384) (/.f64 2 2) (if (<=.f64 alpha 8106479329266893/9007199254740992) (/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) (/.f64 (/.f64 2 alpha) 2))))
(if (<=.f64 alpha -1317018104707387/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456) (/.f64 (-.f64 1 (*.f64 1/2 alpha)) 2) (if (<=.f64 alpha -3943168458671679/67985663080546188632267290438715984298187919069060086169528849689651655662189087070612800289949348565617834174239552129964362155219546526644418557282123181048810402666930332036061200384) 1 (if (<=.f64 alpha 8106479329266893/9007199254740992) (/.f64 (-.f64 1 (*.f64 1/2 alpha)) 2) (/.f64 (/.f64 2 alpha) 2))))
(if (<=.f64 alpha -1317018104707387/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456) (/.f64 1 2) (if (<=.f64 alpha -8838136200471005/33992831540273094316133645219357992149093959534530043084764424844825827831094543535306400144974674282808917087119776064982181077609773263322209278641061590524405201333465166018030600192) (/.f64 2 2) (if (<=.f64 alpha 2) (/.f64 1 2) (/.f64 (/.f64 2 alpha) 2))))
(if (<=.f64 alpha -1317018104707387/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456) 1/2 (if (<=.f64 alpha -8838136200471005/33992831540273094316133645219357992149093959534530043084764424844825827831094543535306400144974674282808917087119776064982181077609773263322209278641061590524405201333465166018030600192) 1 (if (<=.f64 alpha 2) 1/2 (/.f64 (/.f64 2 alpha) 2))))
(if (<=.f64 beta 2308094809027379/1125899906842624) (/.f64 1 2) (/.f64 2 2))
(if (<=.f64 beta 2308094809027379/1125899906842624) 1/2 1)
(/.f64 1 2)
1/2
Compiler

Compiled 417 to 311 computations (25.4% saved)

soundness1.9s (17.4%)

Rules
1380×fma-neg
1380×fma-neg
1232×log-prod
1232×log-prod
1232×log-prod
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01237
12537
24237
37037
412237
524233
644933
775933
8161633
9379633
10762933
01156
125956
2390256
051010982
1140910596
2497310328
0167853704
1555750560
01156
125956
2390256
0167853704
1555750560
01156
125956
2390256
051010982
1140910596
2497310328
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 722 to 452 computations (37.4% saved)

end231.0ms (2.2%)

Compiler

Compiled 816 to 578 computations (29.2% saved)

Profiling

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