Octave 3.8, jcobi/1

Time bar (total: 5.7s)

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)

sample1.3s (23%)

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

preprocess270.0ms (4.7%)

Algorithm
egg-herbie
Rules
1432×sub-neg
1292×div-sub
860×distribute-lft-neg-in
594×neg-mul-1
574×associate-*r/
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
740-0-(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
00-0-(-.f64 beta alpha)
00-0-(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
00-0-(+.f64 (+.f64 alpha beta) 2)
00-0-alpha
00-0-2
00-0-(+.f64 alpha beta)
00-0-(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
00-0-1
00-0-beta
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
038367
192359
2202351
3539343
41571343
54661343
67233343
Stop Event
node limit
Calls
Call 1
Inputs
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta (neg.f64 alpha)) (+.f64 (+.f64 (neg.f64 alpha) beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 (neg.f64 beta) alpha) (+.f64 (+.f64 alpha (neg.f64 beta)) 2)) 1) 2)
(neg.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta (neg.f64 alpha)) (+.f64 (+.f64 (neg.f64 alpha) beta) 2)) 1) 2))
(neg.f64 (/.f64 (+.f64 (/.f64 (-.f64 (neg.f64 beta) alpha) (+.f64 (+.f64 alpha (neg.f64 beta)) 2)) 1) 2))
(/.f64 (+.f64 (/.f64 (-.f64 alpha beta) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
Outputs
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 2)
(-.f64 1/2 (/.f64 (/.f64 (-.f64 alpha beta) (+.f64 beta (+.f64 alpha 2))) 2))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 2)
(-.f64 1/2 (/.f64 (/.f64 (-.f64 alpha beta) (+.f64 beta (+.f64 alpha 2))) 2))
(/.f64 (+.f64 (/.f64 (-.f64 beta (neg.f64 alpha)) (+.f64 (+.f64 (neg.f64 alpha) beta) 2)) 1) 2)
(/.f64 (+.f64 1 (/.f64 (-.f64 beta (neg.f64 alpha)) (+.f64 2 (-.f64 beta alpha)))) 2)
(/.f64 (+.f64 1 (/.f64 (+.f64 beta alpha) (-.f64 (+.f64 beta 2) alpha))) 2)
(/.f64 (+.f64 1 (/.f64 (+.f64 beta alpha) (+.f64 beta (-.f64 2 alpha)))) 2)
(+.f64 (/.f64 (+.f64 beta alpha) (+.f64 4 (*.f64 2 (-.f64 beta alpha)))) 1/2)
(+.f64 1/2 (/.f64 (+.f64 beta alpha) (+.f64 4 (*.f64 (-.f64 alpha beta) -2))))
(/.f64 (+.f64 (/.f64 (-.f64 (neg.f64 beta) alpha) (+.f64 (+.f64 alpha (neg.f64 beta)) 2)) 1) 2)
(/.f64 (+.f64 1 (/.f64 (-.f64 (neg.f64 beta) alpha) (+.f64 2 (-.f64 alpha beta)))) 2)
(/.f64 (+.f64 1 (/.f64 (-.f64 (neg.f64 beta) alpha) (+.f64 alpha (-.f64 2 beta)))) 2)
(/.f64 (-.f64 1 (/.f64 (+.f64 beta alpha) (+.f64 2 (-.f64 alpha beta)))) 2)
(-.f64 1/2 (/.f64 (+.f64 beta alpha) (*.f64 2 (+.f64 2 (-.f64 alpha beta)))))
(+.f64 1/2 (*.f64 -1/2 (/.f64 (+.f64 beta alpha) (+.f64 2 (-.f64 alpha beta)))))
(+.f64 1/2 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (-.f64 -2 alpha))) 1/2))
(neg.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta (neg.f64 alpha)) (+.f64 (+.f64 (neg.f64 alpha) beta) 2)) 1) 2))
(/.f64 (neg.f64 (+.f64 1 (/.f64 (-.f64 beta (neg.f64 alpha)) (+.f64 2 (-.f64 beta alpha))))) 2)
(/.f64 (neg.f64 (+.f64 1 (/.f64 (+.f64 beta alpha) (-.f64 (+.f64 beta 2) alpha)))) 2)
(/.f64 (-.f64 -1 (/.f64 (+.f64 beta alpha) (+.f64 beta (-.f64 2 alpha)))) 2)
(-.f64 -1/2 (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (-.f64 2 alpha))) 2))
(+.f64 -1/2 (/.f64 (+.f64 beta alpha) (*.f64 2 (+.f64 (-.f64 alpha beta) -2))))
(+.f64 -1/2 (/.f64 (*.f64 (+.f64 beta alpha) -1/2) (+.f64 beta (-.f64 2 alpha))))
(neg.f64 (/.f64 (+.f64 (/.f64 (-.f64 (neg.f64 beta) alpha) (+.f64 (+.f64 alpha (neg.f64 beta)) 2)) 1) 2))
(neg.f64 (/.f64 (+.f64 1 (/.f64 (-.f64 (neg.f64 beta) alpha) (+.f64 2 (-.f64 alpha beta)))) 2))
(/.f64 (-.f64 -1 (/.f64 (-.f64 (neg.f64 beta) alpha) (+.f64 alpha (-.f64 2 beta)))) 2)
(/.f64 (+.f64 -1 (/.f64 (+.f64 beta alpha) (+.f64 2 (-.f64 alpha beta)))) 2)
(+.f64 -1/2 (/.f64 (+.f64 beta alpha) (*.f64 2 (+.f64 2 (-.f64 alpha beta)))))
(*.f64 (-.f64 -1 (/.f64 (+.f64 beta alpha) (+.f64 beta (-.f64 -2 alpha)))) 1/2)
(/.f64 (+.f64 (/.f64 (-.f64 alpha beta) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
(/.f64 (+.f64 1 (/.f64 (-.f64 alpha beta) (+.f64 beta (+.f64 alpha 2)))) 2)
(-.f64 1/2 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))
(+.f64 1/2 (/.f64 (/.f64 (-.f64 alpha beta) (+.f64 beta (+.f64 alpha 2))) 2))
Compiler

Compiled 117 to 59 computations (49.6% saved)

eval1.0ms (0%)

Compiler

Compiled 28 to 20 computations (28.6% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
73.2%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
Compiler

Compiled 15 to 11 computations (26.7% saved)

localize152.0ms (2.7%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
100.0%
(+.f64 (+.f64 alpha beta) 2)
100.0%
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
73.2%
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
Compiler

Compiled 51 to 24 computations (52.9% saved)

series19.0ms (0.3%)

Counts
3 → 72
Calls

18 calls:

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

rewrite262.0ms (4.6%)

Algorithm
batch-egg-rewrite
Rules
1289×log1p-expm1-u
1289×expm1-log1p-u
98×associate-*r*
98×add-cube-cbrt
96×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01499
120699
2330999
Stop Event
node limit
Counts
3 → 111
Calls
Call 1
Inputs
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
(+.f64 (+.f64 alpha beta) 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)
(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)))
(log1p.f64 (expm1.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))
(fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1)
(fma.f64 1 (/.f64 (-.f64 beta alpha) (+.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 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 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 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (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 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (pow.f64 (cbrt.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 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (*.f64 (cbrt.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 (sqrt.f64 (-.f64 beta alpha)) (*.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(*.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 (pow.f64 (+.f64 beta alpha) 2) (-.f64 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)
(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)))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 beta (+.f64 alpha 2)))) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 beta alpha) 2) (+.f64 beta (-.f64 alpha 2))) (/.f64 4 (+.f64 beta (-.f64 alpha 2))))
(*.f64 (+.f64 beta (+.f64 alpha 2)) 1)
(*.f64 1 (+.f64 beta (+.f64 alpha 2)))
(*.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2) (cbrt.f64 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8) (/.f64 1 (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2)))))
(*.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (/.f64 1 (+.f64 beta (-.f64 alpha 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)))
(/.f64 1 (/.f64 (+.f64 beta (-.f64 alpha 2)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)))
(/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8) (+.f64 4 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (*.f64 (+.f64 beta alpha) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (+.f64 beta (-.f64 alpha 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (neg.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (neg.f64 (+.f64 beta (-.f64 alpha 2))))
(/.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (+.f64 (pow.f64 alpha 2) (-.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 2)) (*.f64 alpha (+.f64 beta 2)))))
(/.f64 (-.f64 (pow.f64 alpha 2) (*.f64 (+.f64 beta 2) (+.f64 beta 2))) (-.f64 alpha (+.f64 beta 2)))
(/.f64 (-.f64 4 (pow.f64 (+.f64 beta alpha) 2)) (-.f64 2 (+.f64 beta alpha)))
(pow.f64 (+.f64 beta (+.f64 alpha 2)) 1)
(pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 3)
(pow.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)
(sqrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))
(log.f64 (exp.f64 (+.f64 beta (+.f64 alpha 2))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 beta (+.f64 alpha 2)))))
(cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3))
(expm1.f64 (log1p.f64 (+.f64 beta (+.f64 alpha 2))))
(log1p.f64 (expm1.f64 (+.f64 beta (+.f64 alpha 2))))
(exp.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))))
(exp.f64 (*.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))) 1))
(fma.f64 1 alpha (+.f64 beta 2))
(fma.f64 1 (+.f64 beta alpha) 2)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 beta alpha)) 2) (cbrt.f64 (+.f64 beta alpha)) 2)
(fma.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 alpha) (+.f64 beta 2))
(fma.f64 (sqrt.f64 (+.f64 beta alpha)) (sqrt.f64 (+.f64 beta alpha)) 2)
(fma.f64 (sqrt.f64 alpha) (sqrt.f64 alpha) (+.f64 beta 2))

simplify191.0ms (3.4%)

Algorithm
egg-herbie
Rules
1522×fma-neg
710×sub-neg
538×fma-define
480×div-sub
434×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
046311003
1138510561
2520910468
Stop Event
node limit
Counts
183 → 295
Calls
Call 1
Inputs
(-.f64 1 (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 1 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 1 (+.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 1 (+.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))))))) (/.f64 alpha (+.f64 2 alpha)))
2
(+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)))
(-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (*.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))))
2
(-.f64 (+.f64 2 (*.f64 -1 (/.f64 alpha beta))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(+.f64 1 (/.f64 beta (+.f64 2 beta)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (+.f64 (*.f64 (pow.f64 alpha 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 3))))) (/.f64 beta (+.f64 2 beta)))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))) (+.f64 (*.f64 (pow.f64 alpha 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 3))))) (/.f64 beta (+.f64 2 beta))))))
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))) (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 2 (/.f64 1 alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3))) (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 2 (/.f64 1 alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3))) (+.f64 (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2)) (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 3)) (pow.f64 alpha 4)))))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 3)) (pow.f64 (+.f64 2 beta) 4)) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3))))))
(*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))
(+.f64 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))))
(+.f64 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (+.f64 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))))
(+.f64 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (+.f64 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 3) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))))))))
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha beta))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha beta))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(/.f64 beta (+.f64 2 beta))
(+.f64 (*.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta)))
(+.f64 (*.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (+.f64 (/.f64 beta (+.f64 2 beta)) (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (+.f64 2 beta))))
(+.f64 (*.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))) (+.f64 (/.f64 beta (+.f64 2 beta)) (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (+.f64 2 beta)))))
-1
(-.f64 (/.f64 beta alpha) (+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 beta) alpha))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 beta) (-.f64 beta (*.f64 -1 (+.f64 2 beta)))) (pow.f64 alpha 2))) (/.f64 beta alpha)) (+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 beta) alpha))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 beta) (-.f64 beta (*.f64 -1 (+.f64 2 beta)))) (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 (pow.f64 (+.f64 2 beta) 2) (-.f64 beta (*.f64 -1 (+.f64 2 beta)))) (pow.f64 alpha 3)))) (+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 beta) alpha))))
-1
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha)) (/.f64 (*.f64 (+.f64 2 beta) (-.f64 (*.f64 -1 beta) (+.f64 2 beta))) (pow.f64 alpha 2))) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 beta) 2) (-.f64 (*.f64 -1 beta) (+.f64 2 beta))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha)) (/.f64 (*.f64 (+.f64 2 beta) (-.f64 (*.f64 -1 beta) (+.f64 2 beta))) (pow.f64 alpha 2)))) 1)
(+.f64 2 beta)
(+.f64 2 (+.f64 alpha beta))
(+.f64 2 (+.f64 alpha beta))
(+.f64 2 (+.f64 alpha beta))
alpha
(+.f64 2 (+.f64 alpha beta))
(+.f64 2 (+.f64 alpha beta))
(+.f64 2 (+.f64 alpha beta))
alpha
(+.f64 2 (+.f64 alpha beta))
(+.f64 2 (+.f64 alpha beta))
(+.f64 2 (+.f64 alpha beta))
(+.f64 2 alpha)
(+.f64 2 (+.f64 alpha beta))
(+.f64 2 (+.f64 alpha beta))
(+.f64 2 (+.f64 alpha beta))
beta
(+.f64 2 (+.f64 alpha beta))
(+.f64 2 (+.f64 alpha beta))
(+.f64 2 (+.f64 alpha beta))
beta
(+.f64 2 (+.f64 alpha beta))
(+.f64 2 (+.f64 alpha beta))
(+.f64 2 (+.f64 alpha beta))
(-.f64 (/.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)
(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)))
(log1p.f64 (expm1.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))
(fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1)
(fma.f64 1 (/.f64 (-.f64 beta alpha) (+.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 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 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 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (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 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (pow.f64 (cbrt.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 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (*.f64 (cbrt.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 (sqrt.f64 (-.f64 beta alpha)) (*.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(*.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 (pow.f64 (+.f64 beta alpha) 2) (-.f64 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)
(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)))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 beta (+.f64 alpha 2)))) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 beta alpha) 2) (+.f64 beta (-.f64 alpha 2))) (/.f64 4 (+.f64 beta (-.f64 alpha 2))))
(*.f64 (+.f64 beta (+.f64 alpha 2)) 1)
(*.f64 1 (+.f64 beta (+.f64 alpha 2)))
(*.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2) (cbrt.f64 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8) (/.f64 1 (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2)))))
(*.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (/.f64 1 (+.f64 beta (-.f64 alpha 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)))
(/.f64 1 (/.f64 (+.f64 beta (-.f64 alpha 2)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)))
(/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8) (+.f64 4 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (*.f64 (+.f64 beta alpha) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (+.f64 beta (-.f64 alpha 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (neg.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (neg.f64 (+.f64 beta (-.f64 alpha 2))))
(/.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (+.f64 (pow.f64 alpha 2) (-.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 2)) (*.f64 alpha (+.f64 beta 2)))))
(/.f64 (-.f64 (pow.f64 alpha 2) (*.f64 (+.f64 beta 2) (+.f64 beta 2))) (-.f64 alpha (+.f64 beta 2)))
(/.f64 (-.f64 4 (pow.f64 (+.f64 beta alpha) 2)) (-.f64 2 (+.f64 beta alpha)))
(pow.f64 (+.f64 beta (+.f64 alpha 2)) 1)
(pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 3)
(pow.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)
(sqrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))
(log.f64 (exp.f64 (+.f64 beta (+.f64 alpha 2))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 beta (+.f64 alpha 2)))))
(cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3))
(expm1.f64 (log1p.f64 (+.f64 beta (+.f64 alpha 2))))
(log1p.f64 (expm1.f64 (+.f64 beta (+.f64 alpha 2))))
(exp.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))))
(exp.f64 (*.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))) 1))
(fma.f64 1 alpha (+.f64 beta 2))
(fma.f64 1 (+.f64 beta alpha) 2)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 beta alpha)) 2) (cbrt.f64 (+.f64 beta alpha)) 2)
(fma.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 alpha) (+.f64 beta 2))
(fma.f64 (sqrt.f64 (+.f64 beta alpha)) (sqrt.f64 (+.f64 beta alpha)) 2)
(fma.f64 (sqrt.f64 alpha) (sqrt.f64 alpha) (+.f64 beta 2))
Outputs
(-.f64 1 (/.f64 alpha (+.f64 2 alpha)))
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(-.f64 (+.f64 1 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 alpha (+.f64 2 alpha)))
(+.f64 1 (-.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)))) (/.f64 alpha (+.f64 alpha 2))))
(-.f64 (fma.f64 beta (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) 1) (/.f64 alpha (+.f64 alpha 2)))
(-.f64 (+.f64 1 (+.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha)))
(+.f64 1 (-.f64 (fma.f64 beta (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (pow.f64 beta 2) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))))) (/.f64 alpha (+.f64 alpha 2))))
(+.f64 (fma.f64 beta (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) 1) (-.f64 (*.f64 (pow.f64 beta 2) (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2)))) (/.f64 alpha (+.f64 alpha 2))))
(-.f64 (+.f64 1 (+.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))))))) (/.f64 alpha (+.f64 2 alpha)))
(+.f64 1 (-.f64 (fma.f64 beta (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 (pow.f64 beta 2) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)))))) (/.f64 alpha (+.f64 alpha 2))))
(+.f64 (fma.f64 beta (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) 1) (-.f64 (fma.f64 (pow.f64 beta 2) (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4))))) (/.f64 alpha (+.f64 alpha 2))))
2
(+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)))
(+.f64 2 (neg.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta)))
(-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))
(-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(+.f64 2 (-.f64 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) (/.f64 alpha (/.f64 (pow.f64 beta 2) (+.f64 alpha 2)))) (neg.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2)))))
(+.f64 2 (+.f64 (-.f64 (/.f64 (+.f64 alpha 2) (/.f64 (pow.f64 beta 2) alpha)) (/.f64 (fma.f64 alpha 2 2) beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2))))
(+.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) (fma.f64 (/.f64 alpha (pow.f64 beta 2)) (+.f64 alpha 2) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2))))
(-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (*.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))))
(+.f64 2 (-.f64 (fma.f64 -1 (/.f64 alpha (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) (/.f64 alpha (/.f64 (pow.f64 beta 2) (+.f64 alpha 2))))) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)))))
(+.f64 2 (-.f64 (-.f64 (-.f64 (/.f64 (+.f64 alpha 2) (/.f64 (pow.f64 beta 2) alpha)) (/.f64 (fma.f64 alpha 2 2) beta)) (*.f64 (/.f64 alpha (pow.f64 beta 3)) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2)))))
(+.f64 2 (+.f64 (-.f64 (-.f64 (-.f64 (/.f64 (+.f64 alpha 2) (/.f64 (pow.f64 beta 2) alpha)) (/.f64 (fma.f64 alpha 2 2) beta)) (*.f64 (/.f64 alpha (pow.f64 beta 3)) (pow.f64 (+.f64 alpha 2) 2))) (pow.f64 (/.f64 (+.f64 alpha 2) beta) 3)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2))))
2
(-.f64 (+.f64 2 (*.f64 -1 (/.f64 alpha beta))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(-.f64 (+.f64 2 (/.f64 (neg.f64 alpha) beta)) (+.f64 (/.f64 alpha beta) (/.f64 2 beta)))
(-.f64 (-.f64 2 (/.f64 alpha beta)) (+.f64 (/.f64 alpha beta) (/.f64 2 beta)))
(-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(+.f64 2 (-.f64 (*.f64 -1 (+.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) (/.f64 (pow.f64 beta 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2)))))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))))
(-.f64 (-.f64 (-.f64 2 (/.f64 alpha beta)) (*.f64 (/.f64 (+.f64 alpha 2) (pow.f64 beta 2)) (-.f64 (fma.f64 alpha -1 -2) alpha))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta)))
(+.f64 (-.f64 2 (/.f64 alpha beta)) (-.f64 (/.f64 (-.f64 -2 alpha) (/.f64 (pow.f64 beta 2) (-.f64 (-.f64 -2 alpha) alpha))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))))
(-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(+.f64 2 (-.f64 (fma.f64 -1 (/.f64 alpha beta) (fma.f64 -1 (/.f64 (+.f64 alpha 2) (/.f64 (pow.f64 beta 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (/.f64 (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 2 (-.f64 (-.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3)) (-.f64 (fma.f64 alpha -1 -2) alpha)) (*.f64 (/.f64 (+.f64 alpha 2) (pow.f64 beta 2)) (-.f64 (fma.f64 alpha -1 -2) alpha))) (/.f64 alpha beta)) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))))
(+.f64 (-.f64 2 (/.f64 alpha beta)) (-.f64 (fma.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3)) (-.f64 (-.f64 -2 alpha) alpha) (/.f64 (-.f64 -2 alpha) (/.f64 (pow.f64 beta 2) (-.f64 (-.f64 -2 alpha) alpha)))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))))
(+.f64 1 (/.f64 beta (+.f64 2 beta)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta))))
(+.f64 1 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (/.f64 beta (+.f64 2 beta))))
(+.f64 1 (-.f64 (/.f64 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 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (+.f64 (*.f64 (pow.f64 alpha 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 3))))) (/.f64 beta (+.f64 2 beta)))))
(+.f64 1 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 (pow.f64 alpha 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3))) (/.f64 beta (+.f64 2 beta)))))
(+.f64 1 (fma.f64 (neg.f64 alpha) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (fma.f64 (pow.f64 alpha 2) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 beta (pow.f64 (+.f64 2 beta) 3))) (/.f64 beta (+.f64 2 beta)))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))) (+.f64 (*.f64 (pow.f64 alpha 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 3))))) (/.f64 beta (+.f64 2 beta))))))
(+.f64 1 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4)))) (fma.f64 (pow.f64 alpha 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3))) (/.f64 beta (+.f64 2 beta))))))
(+.f64 1 (-.f64 (-.f64 (fma.f64 (pow.f64 alpha 2) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 beta (pow.f64 (+.f64 2 beta) 3))) (/.f64 beta (+.f64 2 beta))) (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))) (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))))
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-1
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-1
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alpha
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
alpha
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(+.f64 2 alpha)
(+.f64 alpha 2)
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
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(+.f64 alpha (+.f64 2 beta))
beta
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(+.f64 2 (+.f64 alpha beta))
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beta
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
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(/.f64 (+.f64 (neg.f64 (pow.f64 (+.f64 alpha beta) 2)) 4) (neg.f64 (-.f64 (+.f64 alpha beta) 2)))
(/.f64 (-.f64 4 (pow.f64 (+.f64 alpha beta) 2)) (-.f64 2 (+.f64 alpha beta)))
(pow.f64 (+.f64 beta (+.f64 alpha 2)) 1)
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 3)
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(pow.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3) 1/3)
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(pow.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(sqrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(log.f64 (exp.f64 (+.f64 beta (+.f64 alpha 2))))
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 beta (+.f64 alpha 2)))))
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3))
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(expm1.f64 (log1p.f64 (+.f64 beta (+.f64 alpha 2))))
(expm1.f64 (log1p.f64 (+.f64 2 (+.f64 alpha beta))))
(+.f64 -1 (+.f64 3 (+.f64 alpha beta)))
(log1p.f64 (expm1.f64 (+.f64 beta (+.f64 alpha 2))))
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(exp.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))))
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(exp.f64 (*.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))) 1))
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(fma.f64 1 alpha (+.f64 beta 2))
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(fma.f64 1 (+.f64 beta alpha) 2)
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 beta alpha)) 2) (cbrt.f64 (+.f64 beta alpha)) 2)
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(fma.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 alpha) (+.f64 beta 2))
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(fma.f64 (sqrt.f64 (+.f64 beta alpha)) (sqrt.f64 (+.f64 beta alpha)) 2)
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(fma.f64 (sqrt.f64 alpha) (sqrt.f64 alpha) (+.f64 beta 2))
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))

eval192.0ms (3.4%)

Compiler

Compiled 8563 to 5976 computations (30.2% saved)

prune54.0ms (0.9%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New28510295
Fresh000
Picked011
Done000
Total28511296
Accuracy
100.0%
Counts
296 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
30.8%
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
30.8%
(/.f64 (/.f64 (neg.f64 (-.f64 (-.f64 -2 beta) beta)) alpha) 2)
47.1%
(/.f64 (-.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))) 2)
29.6%
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)) (-.f64 (-.f64 -2 beta) beta)) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 2)
49.6%
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
73.2%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
31.8%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) beta) 1) 2)
70.2%
(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
29.0%
(/.f64 (+.f64 2 (neg.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta))) 2)
3.8%
(/.f64 (+.f64 -1 1) 2)
36.4%
(/.f64 2 2)
Compiler

Compiled 311 to 237 computations (23.8% saved)

localize159.0ms (2.8%)

Localize:

Found 5 expressions with local error:

NewAccuracyProgram
99.6%
(/.f64 (+.f64 2 (*.f64 alpha 2)) beta)
100.0%
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
100.0%
(+.f64 (/.f64 (-.f64 beta alpha) beta) 1)
100.0%
(/.f64 (-.f64 beta alpha) beta)
100.0%
(/.f64 beta (+.f64 2 beta))
Compiler

Compiled 137 to 91 computations (33.6% saved)

series26.0ms (0.4%)

Counts
5 → 96
Calls

27 calls:

TimeVariablePointExpression
5.0ms
alpha
@inf
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
2.0ms
alpha
@inf
(+.f64 (/.f64 (-.f64 beta alpha) beta) 1)
1.0ms
beta
@0
(/.f64 (+.f64 2 (*.f64 alpha 2)) beta)
1.0ms
alpha
@0
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
1.0ms
beta
@inf
(/.f64 (+.f64 2 (*.f64 alpha 2)) beta)

rewrite167.0ms (2.9%)

Algorithm
batch-egg-rewrite
Rules
1420×log1p-expm1-u
220×associate-*r*
174×times-frac
167×expm1-log1p-u
166×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
020119
134899
2555099
Stop Event
node limit
Counts
5 → 177
Calls
Call 1
Inputs
(/.f64 beta (+.f64 2 beta))
(/.f64 (-.f64 beta alpha) beta)
(+.f64 (/.f64 (-.f64 beta alpha) beta) 1)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 2 (*.f64 alpha 2)) beta)
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2)))) 1)
(*.f64 beta (/.f64 1 (+.f64 beta 2)))
(*.f64 (/.f64 beta (+.f64 beta 2)) 1)
(*.f64 1 (/.f64 beta (+.f64 beta 2)))
(*.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta 2))))
(*.f64 (pow.f64 (cbrt.f64 beta) 2) (*.f64 (cbrt.f64 beta) (/.f64 1 (+.f64 beta 2))))
(*.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (sqrt.f64 (/.f64 beta (+.f64 beta 2))))
(*.f64 (sqrt.f64 beta) (*.f64 (sqrt.f64 beta) (/.f64 1 (+.f64 beta 2))))
(*.f64 (neg.f64 beta) (/.f64 1 (+.f64 (neg.f64 beta) -2)))
(*.f64 (/.f64 1 (+.f64 beta 2)) beta)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (+.f64 beta 2)))
(*.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 beta 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 beta (cbrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta 2))) (/.f64 beta (sqrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (cbrt.f64 (/.f64 beta (+.f64 beta 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 beta 2))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 beta (+.f64 8 (pow.f64 beta 3))) (+.f64 4 (*.f64 beta (-.f64 beta 2))))
(*.f64 (/.f64 beta (-.f64 4 (pow.f64 beta 2))) (-.f64 2 beta))
(pow.f64 (/.f64 beta (+.f64 beta 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 3)
(pow.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 2)
(pow.f64 (/.f64 (+.f64 beta 2) beta) -1)
(neg.f64 (/.f64 beta (+.f64 (neg.f64 beta) -2)))
(sqrt.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2))
(log.f64 (exp.f64 (/.f64 beta (+.f64 beta 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 beta (+.f64 beta 2)))))
(cbrt.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))))
(log1p.f64 (expm1.f64 (/.f64 beta (+.f64 beta 2))))
(exp.f64 (log.f64 (/.f64 beta (+.f64 beta 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 beta (+.f64 beta 2))) 1))
(+.f64 1 (neg.f64 (/.f64 alpha beta)))
(-.f64 1 (/.f64 alpha beta))
(-.f64 (-.f64 2 (/.f64 alpha beta)) 1)
(*.f64 (-.f64 beta alpha) (/.f64 1 beta))
(*.f64 (-.f64 beta alpha) (*.f64 (/.f64 1 beta) 1))
(*.f64 (-.f64 1 (/.f64 alpha beta)) 1)
(*.f64 1 (-.f64 1 (/.f64 alpha beta)))
(*.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha beta))) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha beta))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha beta))) 2) (cbrt.f64 (-.f64 1 (/.f64 alpha beta))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha beta))) 2) (*.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha beta))) 1))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (*.f64 (cbrt.f64 (-.f64 beta alpha)) (/.f64 1 beta)))
(*.f64 (sqrt.f64 (-.f64 1 (/.f64 alpha beta))) (sqrt.f64 (-.f64 1 (/.f64 alpha beta))))
(*.f64 (sqrt.f64 (-.f64 1 (/.f64 alpha beta))) (*.f64 (sqrt.f64 (-.f64 1 (/.f64 alpha beta))) 1))
(*.f64 (sqrt.f64 (-.f64 beta alpha)) (*.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 1 beta)))
(*.f64 (neg.f64 (-.f64 beta alpha)) (/.f64 1 (neg.f64 beta)))
(*.f64 (/.f64 1 beta) (-.f64 beta alpha))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (-.f64 beta alpha) (cbrt.f64 beta)))
(*.f64 (/.f64 1 (sqrt.f64 beta)) (/.f64 (-.f64 beta alpha) (sqrt.f64 beta)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) 1) (/.f64 (cbrt.f64 (-.f64 beta alpha)) beta))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 (-.f64 1 (/.f64 alpha beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (sqrt.f64 beta)) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (sqrt.f64 beta)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) 1) (/.f64 (sqrt.f64 (-.f64 beta alpha)) beta))
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (cbrt.f64 beta)))
(pow.f64 (-.f64 1 (/.f64 alpha beta)) 1)
(pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha beta))) 3)
(pow.f64 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 1 (/.f64 alpha beta))) 2)
(pow.f64 (/.f64 beta (-.f64 beta alpha)) -1)
(neg.f64 (/.f64 (-.f64 beta alpha) (neg.f64 beta)))
(sqrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 2))
(log.f64 (exp.f64 (-.f64 1 (/.f64 alpha beta))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (/.f64 alpha beta)))))
(cbrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 3))
(expm1.f64 (log.f64 (-.f64 2 (/.f64 alpha beta))))
(log1p.f64 (expm1.f64 (-.f64 1 (/.f64 alpha beta))))
(exp.f64 (log.f64 (-.f64 1 (/.f64 alpha beta))))
(exp.f64 (*.f64 (log.f64 (-.f64 1 (/.f64 alpha beta))) 1))
(-.f64 2 (/.f64 alpha beta))
(-.f64 1 (-.f64 (/.f64 alpha beta) 1))
(-.f64 (exp.f64 (log1p.f64 (-.f64 2 (/.f64 alpha beta)))) 1)
(-.f64 (/.f64 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 2) (+.f64 (-.f64 1 (/.f64 alpha beta)) -1)) (/.f64 1 (+.f64 (-.f64 1 (/.f64 alpha beta)) -1)))
(*.f64 1 (-.f64 2 (/.f64 alpha beta)))
(*.f64 (-.f64 2 (/.f64 alpha beta)) 1)
(*.f64 (cbrt.f64 (-.f64 2 (/.f64 alpha beta))) (pow.f64 (cbrt.f64 (-.f64 2 (/.f64 alpha beta))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 2 (/.f64 alpha beta))) 2) (cbrt.f64 (-.f64 2 (/.f64 alpha beta))))
(*.f64 (sqrt.f64 (-.f64 2 (/.f64 alpha beta))) (sqrt.f64 (-.f64 2 (/.f64 alpha beta))))
(*.f64 (+.f64 1 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 3)) (/.f64 1 (+.f64 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 2) (-.f64 1 (-.f64 1 (/.f64 alpha beta))))))
(*.f64 (+.f64 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 2) -1) (/.f64 1 (+.f64 (-.f64 1 (/.f64 alpha beta)) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 2) (-.f64 1 (-.f64 1 (/.f64 alpha beta)))) (+.f64 1 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 3))))
(/.f64 1 (/.f64 (+.f64 (-.f64 1 (/.f64 alpha beta)) -1) (+.f64 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 2) -1)))
(/.f64 (+.f64 1 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 3)) (+.f64 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 2) (-.f64 1 (-.f64 1 (/.f64 alpha beta)))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 3)) (+.f64 1 (-.f64 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 2) (-.f64 1 (/.f64 alpha beta)))))
(/.f64 (+.f64 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 2) -1) (+.f64 (-.f64 1 (/.f64 alpha beta)) -1))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 3))) (neg.f64 (+.f64 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 2) (-.f64 1 (-.f64 1 (/.f64 alpha beta))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 2) -1)) (neg.f64 (+.f64 (-.f64 1 (/.f64 alpha beta)) -1)))
(/.f64 (-.f64 1 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 2)) (-.f64 1 (-.f64 1 (/.f64 alpha beta))))
(pow.f64 (-.f64 2 (/.f64 alpha beta)) 1)
(pow.f64 (cbrt.f64 (-.f64 2 (/.f64 alpha beta))) 3)
(pow.f64 (pow.f64 (-.f64 2 (/.f64 alpha beta)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 2 (/.f64 alpha beta))) 2)
(sqrt.f64 (pow.f64 (-.f64 2 (/.f64 alpha beta)) 2))
(log.f64 (exp.f64 (-.f64 2 (/.f64 alpha beta))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 2 (/.f64 alpha beta)))))
(cbrt.f64 (pow.f64 (-.f64 2 (/.f64 alpha beta)) 3))
(expm1.f64 (log1p.f64 (-.f64 2 (/.f64 alpha beta))))
(log1p.f64 (expm1.f64 (-.f64 2 (/.f64 alpha beta))))
(exp.f64 (log.f64 (-.f64 2 (/.f64 alpha beta))))
(exp.f64 (*.f64 (log.f64 (-.f64 2 (/.f64 alpha beta))) 1))
(fma.f64 (-.f64 beta alpha) (/.f64 1 beta) 1)
(fma.f64 1 (-.f64 1 (/.f64 alpha beta)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha beta))) 2) (cbrt.f64 (-.f64 1 (/.f64 alpha beta))) 1)
(fma.f64 (sqrt.f64 (-.f64 1 (/.f64 alpha beta))) (sqrt.f64 (-.f64 1 (/.f64 alpha beta))) 1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 beta 2 2) alpha))) 1)
(*.f64 1 (/.f64 (fma.f64 beta 2 2) alpha))
(*.f64 (fma.f64 beta 2 2) (/.f64 1 alpha))
(*.f64 (/.f64 (fma.f64 beta 2 2) alpha) 1)
(*.f64 (cbrt.f64 (/.f64 (fma.f64 beta 2 2) alpha)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 beta 2 2) alpha)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 beta 2 2) alpha)) 2) (cbrt.f64 (/.f64 (fma.f64 beta 2 2) alpha)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 beta 2 2)) 2) (*.f64 (cbrt.f64 (fma.f64 beta 2 2)) (/.f64 1 alpha)))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 beta 2 2) alpha)) (sqrt.f64 (/.f64 (fma.f64 beta 2 2) alpha)))
(*.f64 (sqrt.f64 (fma.f64 beta 2 2)) (*.f64 (sqrt.f64 (fma.f64 beta 2 2)) (/.f64 1 alpha)))
(*.f64 (neg.f64 (fma.f64 beta 2 2)) (/.f64 1 (neg.f64 alpha)))
(*.f64 (/.f64 1 alpha) (fma.f64 beta 2 2))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (fma.f64 beta 2 2) (cbrt.f64 alpha)))
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (fma.f64 beta 2 2) (sqrt.f64 alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 beta 2 2)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 beta 2 2)) alpha))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 beta 2 2)) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (fma.f64 beta 2 2) alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 beta 2 2)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (fma.f64 beta 2 2)) (sqrt.f64 alpha)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 beta 2 2)) 1) (/.f64 (sqrt.f64 (fma.f64 beta 2 2)) alpha))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 beta 2 2)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (fma.f64 beta 2 2)) (cbrt.f64 alpha)))
(pow.f64 (/.f64 (fma.f64 beta 2 2) alpha) 1)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 beta 2 2) alpha)) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 beta 2 2) alpha) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 beta 2 2) alpha)) 2)
(pow.f64 (/.f64 alpha (fma.f64 beta 2 2)) -1)
(neg.f64 (/.f64 (fma.f64 beta 2 2) (neg.f64 alpha)))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 beta 2 2) alpha) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 beta 2 2) alpha)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 beta 2 2) alpha))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 beta 2 2) alpha) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 beta 2 2) 3) (pow.f64 alpha 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 beta 2 2) alpha)))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 beta 2 2) alpha)))
(exp.f64 (log.f64 (/.f64 (fma.f64 beta 2 2) alpha)))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 beta 2 2) alpha)) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 2 alpha 2) beta))) 1)
(*.f64 1 (/.f64 (fma.f64 2 alpha 2) beta))
(*.f64 (fma.f64 2 alpha 2) (/.f64 1 beta))
(*.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1)
(*.f64 (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) 2) (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2) (*.f64 (cbrt.f64 (fma.f64 2 alpha 2)) (/.f64 1 beta)))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) (sqrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)))
(*.f64 (sqrt.f64 (fma.f64 2 alpha 2)) (*.f64 (sqrt.f64 (fma.f64 2 alpha 2)) (/.f64 1 beta)))
(*.f64 (*.f64 (+.f64 alpha 1) -2) (/.f64 1 (neg.f64 beta)))
(*.f64 (/.f64 1 beta) (fma.f64 2 alpha 2))
(*.f64 (+.f64 alpha 1) (*.f64 2 (/.f64 1 beta)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (fma.f64 2 alpha 2) (cbrt.f64 beta)))
(*.f64 (/.f64 1 (sqrt.f64 beta)) (/.f64 (fma.f64 2 alpha 2) (sqrt.f64 beta)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 2 alpha 2)) beta))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2) (sqrt.f64 beta)) (/.f64 (cbrt.f64 (fma.f64 2 alpha 2)) (sqrt.f64 beta)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 alpha 2)) 1) (/.f64 (sqrt.f64 (fma.f64 2 alpha 2)) beta))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 alpha 2)) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (sqrt.f64 (fma.f64 2 alpha 2)) (cbrt.f64 beta)))
(*.f64 (/.f64 (+.f64 alpha 1) 1) (/.f64 2 beta))
(*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 2 (cbrt.f64 beta)))
(*.f64 (/.f64 (+.f64 alpha 1) (sqrt.f64 beta)) (/.f64 2 (sqrt.f64 beta)))
(pow.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 2 alpha 2) beta) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) 2)
(pow.f64 (/.f64 beta (fma.f64 2 alpha 2)) -1)
(neg.f64 (/.f64 (fma.f64 2 alpha 2) (neg.f64 beta)))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 2 alpha 2) beta) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 2 alpha 2) beta)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 2 alpha 2) beta))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 2 alpha 2) beta) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 2 alpha 2) 3) (pow.f64 beta 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 2 alpha 2) beta)))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 2 alpha 2) beta)))
(exp.f64 (log.f64 (/.f64 (fma.f64 2 alpha 2) beta)))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 2 alpha 2) beta)) 1))

simplify119.0ms (2.1%)

Algorithm
egg-herbie
Rules
1536×fma-define
762×log-prod
524×fma-neg
500×cancel-sign-sub-inv
428×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04397322
110516956
234976792
Stop Event
node limit
Counts
273 → 244
Calls
Call 1
Inputs
(*.f64 1/2 beta)
(+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/2 beta))
(+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (+.f64 (*.f64 1/8 (pow.f64 beta 3)) (*.f64 1/2 beta)))
(+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (+.f64 (*.f64 -1/16 (pow.f64 beta 4)) (+.f64 (*.f64 1/8 (pow.f64 beta 3)) (*.f64 1/2 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 2 (/.f64 1 beta)) (*.f64 8 (/.f64 1 (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 2 (/.f64 1 beta)) (*.f64 8 (/.f64 1 (pow.f64 beta 3)))))
(*.f64 -1 (/.f64 alpha beta))
(+.f64 1 (*.f64 -1 (/.f64 alpha beta)))
(+.f64 1 (*.f64 -1 (/.f64 alpha beta)))
(+.f64 1 (*.f64 -1 (/.f64 alpha beta)))
1
(+.f64 1 (*.f64 -1 (/.f64 alpha beta)))
(+.f64 1 (*.f64 -1 (/.f64 alpha beta)))
(+.f64 1 (*.f64 -1 (/.f64 alpha beta)))
1
(+.f64 1 (*.f64 -1 (/.f64 alpha beta)))
(+.f64 1 (*.f64 -1 (/.f64 alpha beta)))
(+.f64 1 (*.f64 -1 (/.f64 alpha beta)))
1
(+.f64 1 (*.f64 -1 (/.f64 alpha beta)))
(+.f64 1 (*.f64 -1 (/.f64 alpha beta)))
(+.f64 1 (*.f64 -1 (/.f64 alpha beta)))
(*.f64 -1 (/.f64 alpha beta))
(+.f64 1 (*.f64 -1 (/.f64 alpha beta)))
(+.f64 1 (*.f64 -1 (/.f64 alpha beta)))
(+.f64 1 (*.f64 -1 (/.f64 alpha beta)))
(*.f64 -1 (/.f64 alpha beta))
(+.f64 1 (*.f64 -1 (/.f64 alpha beta)))
(+.f64 1 (*.f64 -1 (/.f64 alpha beta)))
(+.f64 1 (*.f64 -1 (/.f64 alpha beta)))
(*.f64 -1 (/.f64 alpha beta))
(+.f64 2 (*.f64 -1 (/.f64 alpha beta)))
(+.f64 2 (*.f64 -1 (/.f64 alpha beta)))
(+.f64 2 (*.f64 -1 (/.f64 alpha beta)))
2
(+.f64 2 (*.f64 -1 (/.f64 alpha beta)))
(+.f64 2 (*.f64 -1 (/.f64 alpha beta)))
(+.f64 2 (*.f64 -1 (/.f64 alpha beta)))
2
(+.f64 2 (*.f64 -1 (/.f64 alpha beta)))
(+.f64 2 (*.f64 -1 (/.f64 alpha beta)))
(+.f64 2 (*.f64 -1 (/.f64 alpha beta)))
2
(+.f64 2 (*.f64 -1 (/.f64 alpha beta)))
(+.f64 2 (*.f64 -1 (/.f64 alpha beta)))
(+.f64 2 (*.f64 -1 (/.f64 alpha beta)))
(*.f64 -1 (/.f64 alpha beta))
(+.f64 2 (*.f64 -1 (/.f64 alpha beta)))
(+.f64 2 (*.f64 -1 (/.f64 alpha beta)))
(+.f64 2 (*.f64 -1 (/.f64 alpha beta)))
(*.f64 -1 (/.f64 alpha beta))
(+.f64 2 (*.f64 -1 (/.f64 alpha beta)))
(+.f64 2 (*.f64 -1 (/.f64 alpha beta)))
(+.f64 2 (*.f64 -1 (/.f64 alpha beta)))
(/.f64 2 alpha)
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 beta alpha))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 beta alpha))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(/.f64 2 beta)
(+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta)))
(+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta)))
(+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta)))
(*.f64 2 (/.f64 alpha beta))
(+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta)))
(+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta)))
(+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta)))
(*.f64 2 (/.f64 alpha beta))
(+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta)))
(+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta)))
(+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta)))
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(-.f64 (exp.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2)))) 1)
(*.f64 beta (/.f64 1 (+.f64 beta 2)))
(*.f64 (/.f64 beta (+.f64 beta 2)) 1)
(*.f64 1 (/.f64 beta (+.f64 beta 2)))
(*.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta 2))))
(*.f64 (pow.f64 (cbrt.f64 beta) 2) (*.f64 (cbrt.f64 beta) (/.f64 1 (+.f64 beta 2))))
(*.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (sqrt.f64 (/.f64 beta (+.f64 beta 2))))
(*.f64 (sqrt.f64 beta) (*.f64 (sqrt.f64 beta) (/.f64 1 (+.f64 beta 2))))
(*.f64 (neg.f64 beta) (/.f64 1 (+.f64 (neg.f64 beta) -2)))
(*.f64 (/.f64 1 (+.f64 beta 2)) beta)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (+.f64 beta 2)))
(*.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 beta 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 beta (cbrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta 2))) (/.f64 beta (sqrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (cbrt.f64 (/.f64 beta (+.f64 beta 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 beta 2))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 beta (+.f64 8 (pow.f64 beta 3))) (+.f64 4 (*.f64 beta (-.f64 beta 2))))
(*.f64 (/.f64 beta (-.f64 4 (pow.f64 beta 2))) (-.f64 2 beta))
(pow.f64 (/.f64 beta (+.f64 beta 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 3)
(pow.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 2)
(pow.f64 (/.f64 (+.f64 beta 2) beta) -1)
(neg.f64 (/.f64 beta (+.f64 (neg.f64 beta) -2)))
(sqrt.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2))
(log.f64 (exp.f64 (/.f64 beta (+.f64 beta 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 beta (+.f64 beta 2)))))
(cbrt.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))))
(log1p.f64 (expm1.f64 (/.f64 beta (+.f64 beta 2))))
(exp.f64 (log.f64 (/.f64 beta (+.f64 beta 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 beta (+.f64 beta 2))) 1))
(+.f64 1 (neg.f64 (/.f64 alpha beta)))
(-.f64 1 (/.f64 alpha beta))
(-.f64 (-.f64 2 (/.f64 alpha beta)) 1)
(*.f64 (-.f64 beta alpha) (/.f64 1 beta))
(*.f64 (-.f64 beta alpha) (*.f64 (/.f64 1 beta) 1))
(*.f64 (-.f64 1 (/.f64 alpha beta)) 1)
(*.f64 1 (-.f64 1 (/.f64 alpha beta)))
(*.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha beta))) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha beta))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha beta))) 2) (cbrt.f64 (-.f64 1 (/.f64 alpha beta))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha beta))) 2) (*.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha beta))) 1))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (*.f64 (cbrt.f64 (-.f64 beta alpha)) (/.f64 1 beta)))
(*.f64 (sqrt.f64 (-.f64 1 (/.f64 alpha beta))) (sqrt.f64 (-.f64 1 (/.f64 alpha beta))))
(*.f64 (sqrt.f64 (-.f64 1 (/.f64 alpha beta))) (*.f64 (sqrt.f64 (-.f64 1 (/.f64 alpha beta))) 1))
(*.f64 (sqrt.f64 (-.f64 beta alpha)) (*.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 1 beta)))
(*.f64 (neg.f64 (-.f64 beta alpha)) (/.f64 1 (neg.f64 beta)))
(*.f64 (/.f64 1 beta) (-.f64 beta alpha))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (-.f64 beta alpha) (cbrt.f64 beta)))
(*.f64 (/.f64 1 (sqrt.f64 beta)) (/.f64 (-.f64 beta alpha) (sqrt.f64 beta)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) 1) (/.f64 (cbrt.f64 (-.f64 beta alpha)) beta))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 (-.f64 1 (/.f64 alpha beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (sqrt.f64 beta)) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (sqrt.f64 beta)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) 1) (/.f64 (sqrt.f64 (-.f64 beta alpha)) beta))
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (cbrt.f64 beta)))
(pow.f64 (-.f64 1 (/.f64 alpha beta)) 1)
(pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha beta))) 3)
(pow.f64 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 1 (/.f64 alpha beta))) 2)
(pow.f64 (/.f64 beta (-.f64 beta alpha)) -1)
(neg.f64 (/.f64 (-.f64 beta alpha) (neg.f64 beta)))
(sqrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 2))
(log.f64 (exp.f64 (-.f64 1 (/.f64 alpha beta))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (/.f64 alpha beta)))))
(cbrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 3))
(expm1.f64 (log.f64 (-.f64 2 (/.f64 alpha beta))))
(log1p.f64 (expm1.f64 (-.f64 1 (/.f64 alpha beta))))
(exp.f64 (log.f64 (-.f64 1 (/.f64 alpha beta))))
(exp.f64 (*.f64 (log.f64 (-.f64 1 (/.f64 alpha beta))) 1))
(-.f64 2 (/.f64 alpha beta))
(-.f64 1 (-.f64 (/.f64 alpha beta) 1))
(-.f64 (exp.f64 (log1p.f64 (-.f64 2 (/.f64 alpha beta)))) 1)
(-.f64 (/.f64 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 2) (+.f64 (-.f64 1 (/.f64 alpha beta)) -1)) (/.f64 1 (+.f64 (-.f64 1 (/.f64 alpha beta)) -1)))
(*.f64 1 (-.f64 2 (/.f64 alpha beta)))
(*.f64 (-.f64 2 (/.f64 alpha beta)) 1)
(*.f64 (cbrt.f64 (-.f64 2 (/.f64 alpha beta))) (pow.f64 (cbrt.f64 (-.f64 2 (/.f64 alpha beta))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 2 (/.f64 alpha beta))) 2) (cbrt.f64 (-.f64 2 (/.f64 alpha beta))))
(*.f64 (sqrt.f64 (-.f64 2 (/.f64 alpha beta))) (sqrt.f64 (-.f64 2 (/.f64 alpha beta))))
(*.f64 (+.f64 1 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 3)) (/.f64 1 (+.f64 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 2) (-.f64 1 (-.f64 1 (/.f64 alpha beta))))))
(*.f64 (+.f64 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 2) -1) (/.f64 1 (+.f64 (-.f64 1 (/.f64 alpha beta)) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 2) (-.f64 1 (-.f64 1 (/.f64 alpha beta)))) (+.f64 1 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 3))))
(/.f64 1 (/.f64 (+.f64 (-.f64 1 (/.f64 alpha beta)) -1) (+.f64 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 2) -1)))
(/.f64 (+.f64 1 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 3)) (+.f64 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 2) (-.f64 1 (-.f64 1 (/.f64 alpha beta)))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 3)) (+.f64 1 (-.f64 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 2) (-.f64 1 (/.f64 alpha beta)))))
(/.f64 (+.f64 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 2) -1) (+.f64 (-.f64 1 (/.f64 alpha beta)) -1))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 3))) (neg.f64 (+.f64 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 2) (-.f64 1 (-.f64 1 (/.f64 alpha beta))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 2) -1)) (neg.f64 (+.f64 (-.f64 1 (/.f64 alpha beta)) -1)))
(/.f64 (-.f64 1 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 2)) (-.f64 1 (-.f64 1 (/.f64 alpha beta))))
(pow.f64 (-.f64 2 (/.f64 alpha beta)) 1)
(pow.f64 (cbrt.f64 (-.f64 2 (/.f64 alpha beta))) 3)
(pow.f64 (pow.f64 (-.f64 2 (/.f64 alpha beta)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 2 (/.f64 alpha beta))) 2)
(sqrt.f64 (pow.f64 (-.f64 2 (/.f64 alpha beta)) 2))
(log.f64 (exp.f64 (-.f64 2 (/.f64 alpha beta))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 2 (/.f64 alpha beta)))))
(cbrt.f64 (pow.f64 (-.f64 2 (/.f64 alpha beta)) 3))
(expm1.f64 (log1p.f64 (-.f64 2 (/.f64 alpha beta))))
(log1p.f64 (expm1.f64 (-.f64 2 (/.f64 alpha beta))))
(exp.f64 (log.f64 (-.f64 2 (/.f64 alpha beta))))
(exp.f64 (*.f64 (log.f64 (-.f64 2 (/.f64 alpha beta))) 1))
(fma.f64 (-.f64 beta alpha) (/.f64 1 beta) 1)
(fma.f64 1 (-.f64 1 (/.f64 alpha beta)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha beta))) 2) (cbrt.f64 (-.f64 1 (/.f64 alpha beta))) 1)
(fma.f64 (sqrt.f64 (-.f64 1 (/.f64 alpha beta))) (sqrt.f64 (-.f64 1 (/.f64 alpha beta))) 1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 beta 2 2) alpha))) 1)
(*.f64 1 (/.f64 (fma.f64 beta 2 2) alpha))
(*.f64 (fma.f64 beta 2 2) (/.f64 1 alpha))
(*.f64 (/.f64 (fma.f64 beta 2 2) alpha) 1)
(*.f64 (cbrt.f64 (/.f64 (fma.f64 beta 2 2) alpha)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 beta 2 2) alpha)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 beta 2 2) alpha)) 2) (cbrt.f64 (/.f64 (fma.f64 beta 2 2) alpha)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 beta 2 2)) 2) (*.f64 (cbrt.f64 (fma.f64 beta 2 2)) (/.f64 1 alpha)))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 beta 2 2) alpha)) (sqrt.f64 (/.f64 (fma.f64 beta 2 2) alpha)))
(*.f64 (sqrt.f64 (fma.f64 beta 2 2)) (*.f64 (sqrt.f64 (fma.f64 beta 2 2)) (/.f64 1 alpha)))
(*.f64 (neg.f64 (fma.f64 beta 2 2)) (/.f64 1 (neg.f64 alpha)))
(*.f64 (/.f64 1 alpha) (fma.f64 beta 2 2))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (fma.f64 beta 2 2) (cbrt.f64 alpha)))
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (fma.f64 beta 2 2) (sqrt.f64 alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 beta 2 2)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 beta 2 2)) alpha))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 beta 2 2)) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (fma.f64 beta 2 2) alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 beta 2 2)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (fma.f64 beta 2 2)) (sqrt.f64 alpha)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 beta 2 2)) 1) (/.f64 (sqrt.f64 (fma.f64 beta 2 2)) alpha))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 beta 2 2)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (fma.f64 beta 2 2)) (cbrt.f64 alpha)))
(pow.f64 (/.f64 (fma.f64 beta 2 2) alpha) 1)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 beta 2 2) alpha)) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 beta 2 2) alpha) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 beta 2 2) alpha)) 2)
(pow.f64 (/.f64 alpha (fma.f64 beta 2 2)) -1)
(neg.f64 (/.f64 (fma.f64 beta 2 2) (neg.f64 alpha)))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 beta 2 2) alpha) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 beta 2 2) alpha)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 beta 2 2) alpha))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 beta 2 2) alpha) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 beta 2 2) 3) (pow.f64 alpha 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 beta 2 2) alpha)))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 beta 2 2) alpha)))
(exp.f64 (log.f64 (/.f64 (fma.f64 beta 2 2) alpha)))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 beta 2 2) alpha)) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 2 alpha 2) beta))) 1)
(*.f64 1 (/.f64 (fma.f64 2 alpha 2) beta))
(*.f64 (fma.f64 2 alpha 2) (/.f64 1 beta))
(*.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1)
(*.f64 (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) 2) (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2) (*.f64 (cbrt.f64 (fma.f64 2 alpha 2)) (/.f64 1 beta)))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) (sqrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)))
(*.f64 (sqrt.f64 (fma.f64 2 alpha 2)) (*.f64 (sqrt.f64 (fma.f64 2 alpha 2)) (/.f64 1 beta)))
(*.f64 (*.f64 (+.f64 alpha 1) -2) (/.f64 1 (neg.f64 beta)))
(*.f64 (/.f64 1 beta) (fma.f64 2 alpha 2))
(*.f64 (+.f64 alpha 1) (*.f64 2 (/.f64 1 beta)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (fma.f64 2 alpha 2) (cbrt.f64 beta)))
(*.f64 (/.f64 1 (sqrt.f64 beta)) (/.f64 (fma.f64 2 alpha 2) (sqrt.f64 beta)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 2 alpha 2)) beta))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2) (sqrt.f64 beta)) (/.f64 (cbrt.f64 (fma.f64 2 alpha 2)) (sqrt.f64 beta)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 alpha 2)) 1) (/.f64 (sqrt.f64 (fma.f64 2 alpha 2)) beta))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 alpha 2)) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (sqrt.f64 (fma.f64 2 alpha 2)) (cbrt.f64 beta)))
(*.f64 (/.f64 (+.f64 alpha 1) 1) (/.f64 2 beta))
(*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 2 (cbrt.f64 beta)))
(*.f64 (/.f64 (+.f64 alpha 1) (sqrt.f64 beta)) (/.f64 2 (sqrt.f64 beta)))
(pow.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 2 alpha 2) beta) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) 2)
(pow.f64 (/.f64 beta (fma.f64 2 alpha 2)) -1)
(neg.f64 (/.f64 (fma.f64 2 alpha 2) (neg.f64 beta)))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 2 alpha 2) beta) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 2 alpha 2) beta)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 2 alpha 2) beta))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 2 alpha 2) beta) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 2 alpha 2) 3) (pow.f64 beta 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 2 alpha 2) beta)))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 2 alpha 2) beta)))
(exp.f64 (log.f64 (/.f64 (fma.f64 2 alpha 2) beta)))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 2 alpha 2) beta)) 1))
Outputs
(*.f64 1/2 beta)
(+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/2 beta))
(fma.f64 -1/4 (pow.f64 beta 2) (*.f64 1/2 beta))
(fma.f64 1/2 beta (*.f64 -1/4 (pow.f64 beta 2)))
(+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (+.f64 (*.f64 1/8 (pow.f64 beta 3)) (*.f64 1/2 beta)))
(fma.f64 -1/4 (pow.f64 beta 2) (fma.f64 1/8 (pow.f64 beta 3) (*.f64 1/2 beta)))
(fma.f64 -1/4 (pow.f64 beta 2) (fma.f64 1/2 beta (*.f64 1/8 (pow.f64 beta 3))))
(+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (+.f64 (*.f64 -1/16 (pow.f64 beta 4)) (+.f64 (*.f64 1/8 (pow.f64 beta 3)) (*.f64 1/2 beta))))
(fma.f64 -1/4 (pow.f64 beta 2) (fma.f64 -1/16 (pow.f64 beta 4) (fma.f64 1/8 (pow.f64 beta 3) (*.f64 1/2 beta))))
(fma.f64 -1/4 (pow.f64 beta 2) (fma.f64 -1/16 (pow.f64 beta 4) (fma.f64 1/2 beta (*.f64 1/8 (pow.f64 beta 3)))))
(fma.f64 -1/4 (pow.f64 beta 2) (fma.f64 1/2 beta (fma.f64 1/8 (pow.f64 beta 3) (*.f64 -1/16 (pow.f64 beta 4)))))
1
(-.f64 1 (*.f64 2 (/.f64 1 beta)))
(-.f64 1 (/.f64 2 beta))
(+.f64 1 (/.f64 -2 beta))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta)))
(+.f64 1 (-.f64 (/.f64 4 (pow.f64 beta 2)) (/.f64 2 beta)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 8 (/.f64 1 (pow.f64 beta 3)))))
(-.f64 (+.f64 1 (-.f64 (/.f64 4 (pow.f64 beta 2)) (/.f64 2 beta))) (/.f64 8 (pow.f64 beta 3)))
(+.f64 1 (-.f64 (-.f64 (/.f64 4 (pow.f64 beta 2)) (/.f64 2 beta)) (/.f64 8 (pow.f64 beta 3))))
1
(-.f64 1 (*.f64 2 (/.f64 1 beta)))
(-.f64 1 (/.f64 2 beta))
(+.f64 1 (/.f64 -2 beta))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta)))
(+.f64 1 (-.f64 (/.f64 4 (pow.f64 beta 2)) (/.f64 2 beta)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 8 (/.f64 1 (pow.f64 beta 3)))))
(-.f64 (+.f64 1 (-.f64 (/.f64 4 (pow.f64 beta 2)) (/.f64 2 beta))) (/.f64 8 (pow.f64 beta 3)))
(+.f64 1 (-.f64 (-.f64 (/.f64 4 (pow.f64 beta 2)) (/.f64 2 beta)) (/.f64 8 (pow.f64 beta 3))))
(*.f64 -1 (/.f64 alpha beta))
(/.f64 (neg.f64 alpha) beta)
(+.f64 1 (*.f64 -1 (/.f64 alpha beta)))
(-.f64 1 (/.f64 alpha beta))
(+.f64 1 (*.f64 -1 (/.f64 alpha beta)))
(-.f64 1 (/.f64 alpha beta))
(+.f64 1 (*.f64 -1 (/.f64 alpha beta)))
(-.f64 1 (/.f64 alpha beta))
1
(+.f64 1 (*.f64 -1 (/.f64 alpha beta)))
(-.f64 1 (/.f64 alpha beta))
(+.f64 1 (*.f64 -1 (/.f64 alpha beta)))
(-.f64 1 (/.f64 alpha beta))
(+.f64 1 (*.f64 -1 (/.f64 alpha beta)))
(-.f64 1 (/.f64 alpha beta))
1
(+.f64 1 (*.f64 -1 (/.f64 alpha beta)))
(-.f64 1 (/.f64 alpha beta))
(+.f64 1 (*.f64 -1 (/.f64 alpha beta)))
(-.f64 1 (/.f64 alpha beta))
(+.f64 1 (*.f64 -1 (/.f64 alpha beta)))
(-.f64 1 (/.f64 alpha beta))
1
(+.f64 1 (*.f64 -1 (/.f64 alpha beta)))
(-.f64 1 (/.f64 alpha beta))
(+.f64 1 (*.f64 -1 (/.f64 alpha beta)))
(-.f64 1 (/.f64 alpha beta))
(+.f64 1 (*.f64 -1 (/.f64 alpha beta)))
(-.f64 1 (/.f64 alpha beta))
(*.f64 -1 (/.f64 alpha beta))
(/.f64 (neg.f64 alpha) beta)
(+.f64 1 (*.f64 -1 (/.f64 alpha beta)))
(-.f64 1 (/.f64 alpha beta))
(+.f64 1 (*.f64 -1 (/.f64 alpha beta)))
(-.f64 1 (/.f64 alpha beta))
(+.f64 1 (*.f64 -1 (/.f64 alpha beta)))
(-.f64 1 (/.f64 alpha beta))
(*.f64 -1 (/.f64 alpha beta))
(/.f64 (neg.f64 alpha) beta)
(+.f64 1 (*.f64 -1 (/.f64 alpha beta)))
(-.f64 1 (/.f64 alpha beta))
(+.f64 1 (*.f64 -1 (/.f64 alpha beta)))
(-.f64 1 (/.f64 alpha beta))
(+.f64 1 (*.f64 -1 (/.f64 alpha beta)))
(-.f64 1 (/.f64 alpha beta))
(*.f64 -1 (/.f64 alpha beta))
(/.f64 (neg.f64 alpha) beta)
(+.f64 2 (*.f64 -1 (/.f64 alpha beta)))
(-.f64 2 (/.f64 alpha beta))
(+.f64 2 (*.f64 -1 (/.f64 alpha beta)))
(-.f64 2 (/.f64 alpha beta))
(+.f64 2 (*.f64 -1 (/.f64 alpha beta)))
(-.f64 2 (/.f64 alpha beta))
2
(+.f64 2 (*.f64 -1 (/.f64 alpha beta)))
(-.f64 2 (/.f64 alpha beta))
(+.f64 2 (*.f64 -1 (/.f64 alpha beta)))
(-.f64 2 (/.f64 alpha beta))
(+.f64 2 (*.f64 -1 (/.f64 alpha beta)))
(-.f64 2 (/.f64 alpha beta))
2
(+.f64 2 (*.f64 -1 (/.f64 alpha beta)))
(-.f64 2 (/.f64 alpha beta))
(+.f64 2 (*.f64 -1 (/.f64 alpha beta)))
(-.f64 2 (/.f64 alpha beta))
(+.f64 2 (*.f64 -1 (/.f64 alpha beta)))
(-.f64 2 (/.f64 alpha beta))
2
(+.f64 2 (*.f64 -1 (/.f64 alpha beta)))
(-.f64 2 (/.f64 alpha beta))
(+.f64 2 (*.f64 -1 (/.f64 alpha beta)))
(-.f64 2 (/.f64 alpha beta))
(+.f64 2 (*.f64 -1 (/.f64 alpha beta)))
(-.f64 2 (/.f64 alpha beta))
(*.f64 -1 (/.f64 alpha beta))
(/.f64 (neg.f64 alpha) beta)
(+.f64 2 (*.f64 -1 (/.f64 alpha beta)))
(-.f64 2 (/.f64 alpha beta))
(+.f64 2 (*.f64 -1 (/.f64 alpha beta)))
(-.f64 2 (/.f64 alpha beta))
(+.f64 2 (*.f64 -1 (/.f64 alpha beta)))
(-.f64 2 (/.f64 alpha beta))
(*.f64 -1 (/.f64 alpha beta))
(/.f64 (neg.f64 alpha) beta)
(+.f64 2 (*.f64 -1 (/.f64 alpha beta)))
(-.f64 2 (/.f64 alpha beta))
(+.f64 2 (*.f64 -1 (/.f64 alpha beta)))
(-.f64 2 (/.f64 alpha beta))
(+.f64 2 (*.f64 -1 (/.f64 alpha beta)))
(-.f64 2 (/.f64 alpha beta))
(/.f64 2 alpha)
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(*.f64 2 (/.f64 beta alpha))
(/.f64 (*.f64 2 beta) alpha)
(/.f64 (*.f64 beta 2) alpha)
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(*.f64 2 (/.f64 beta alpha))
(/.f64 (*.f64 2 beta) alpha)
(/.f64 (*.f64 beta 2) alpha)
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 2 beta)
(+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta)))
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta))
(+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta)))
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta))
(+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta)))
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta))
(*.f64 2 (/.f64 alpha beta))
(+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta)))
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta))
(+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta)))
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta))
(+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta)))
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta))
(*.f64 2 (/.f64 alpha beta))
(+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta)))
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta))
(+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta)))
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta))
(+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta)))
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta))
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 (fma.f64 2 alpha 2) beta)
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 (fma.f64 2 alpha 2) beta)
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 (fma.f64 2 alpha 2) beta)
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 (fma.f64 2 alpha 2) beta)
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 (fma.f64 2 alpha 2) beta)
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 (fma.f64 2 alpha 2) beta)
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 (fma.f64 2 alpha 2) beta)
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 (fma.f64 2 alpha 2) beta)
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 (fma.f64 2 alpha 2) beta)
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 (fma.f64 2 alpha 2) beta)
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 (fma.f64 2 alpha 2) beta)
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 (fma.f64 2 alpha 2) beta)
(-.f64 (exp.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2)))) 1)
(expm1.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))))
(*.f64 beta (/.f64 1 (+.f64 beta 2)))
(/.f64 beta (+.f64 beta 2))
(*.f64 (/.f64 beta (+.f64 beta 2)) 1)
(/.f64 beta (+.f64 beta 2))
(*.f64 1 (/.f64 beta (+.f64 beta 2)))
(/.f64 beta (+.f64 beta 2))
(*.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2))
(/.f64 beta (+.f64 beta 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta 2))))
(/.f64 beta (+.f64 beta 2))
(*.f64 (pow.f64 (cbrt.f64 beta) 2) (*.f64 (cbrt.f64 beta) (/.f64 1 (+.f64 beta 2))))
(/.f64 beta (+.f64 beta 2))
(*.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (sqrt.f64 (/.f64 beta (+.f64 beta 2))))
(/.f64 beta (+.f64 beta 2))
(*.f64 (sqrt.f64 beta) (*.f64 (sqrt.f64 beta) (/.f64 1 (+.f64 beta 2))))
(/.f64 beta (+.f64 beta 2))
(*.f64 (neg.f64 beta) (/.f64 1 (+.f64 (neg.f64 beta) -2)))
(/.f64 (neg.f64 beta) (-.f64 -2 beta))
(*.f64 (/.f64 1 (+.f64 beta 2)) beta)
(/.f64 beta (+.f64 beta 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (+.f64 beta 2)))
(/.f64 beta (+.f64 beta 2))
(*.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 beta 2)))
(/.f64 beta (+.f64 beta 2))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 beta (cbrt.f64 (+.f64 beta 2))))
(/.f64 (/.f64 beta (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta 2))) (/.f64 beta (sqrt.f64 (+.f64 beta 2))))
(/.f64 (/.f64 beta (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (cbrt.f64 (/.f64 beta (+.f64 beta 2))))
(*.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 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 1 (sqrt.f64 (+.f64 beta 2))) (/.f64 beta (sqrt.f64 (+.f64 beta 2))))
(/.f64 (/.f64 beta (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)))
(*.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 beta (cbrt.f64 (+.f64 beta 2))))
(/.f64 (/.f64 beta (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2))
(*.f64 (/.f64 beta (+.f64 8 (pow.f64 beta 3))) (+.f64 4 (*.f64 beta (-.f64 beta 2))))
(*.f64 (/.f64 beta (+.f64 (pow.f64 beta 3) 8)) (+.f64 4 (*.f64 beta (+.f64 beta -2))))
(*.f64 (/.f64 beta (+.f64 (pow.f64 beta 3) 8)) (fma.f64 beta (+.f64 beta -2) 4))
(/.f64 beta (/.f64 (+.f64 (pow.f64 beta 3) 8) (fma.f64 beta (+.f64 beta -2) 4)))
(*.f64 (/.f64 beta (-.f64 4 (pow.f64 beta 2))) (-.f64 2 beta))
(pow.f64 (/.f64 beta (+.f64 beta 2)) 1)
(/.f64 beta (+.f64 beta 2))
(pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 3)
(/.f64 beta (+.f64 beta 2))
(pow.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3) 1/3)
(/.f64 beta (+.f64 beta 2))
(pow.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 2)
(/.f64 beta (+.f64 beta 2))
(pow.f64 (/.f64 (+.f64 beta 2) beta) -1)
(/.f64 beta (+.f64 beta 2))
(neg.f64 (/.f64 beta (+.f64 (neg.f64 beta) -2)))
(*.f64 (neg.f64 beta) (/.f64 1 (+.f64 (neg.f64 beta) -2)))
(/.f64 (neg.f64 beta) (-.f64 -2 beta))
(sqrt.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2))
(/.f64 beta (+.f64 beta 2))
(log.f64 (exp.f64 (/.f64 beta (+.f64 beta 2))))
(/.f64 beta (+.f64 beta 2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 beta (+.f64 beta 2)))))
(/.f64 beta (+.f64 beta 2))
(cbrt.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3))
(/.f64 beta (+.f64 beta 2))
(cbrt.f64 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)))
(/.f64 beta (+.f64 beta 2))
(expm1.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))))
(log1p.f64 (expm1.f64 (/.f64 beta (+.f64 beta 2))))
(/.f64 beta (+.f64 beta 2))
(exp.f64 (log.f64 (/.f64 beta (+.f64 beta 2))))
(/.f64 beta (+.f64 beta 2))
(exp.f64 (*.f64 (log.f64 (/.f64 beta (+.f64 beta 2))) 1))
(/.f64 beta (+.f64 beta 2))
(+.f64 1 (neg.f64 (/.f64 alpha beta)))
(-.f64 1 (/.f64 alpha beta))
(-.f64 1 (/.f64 alpha beta))
(-.f64 (-.f64 2 (/.f64 alpha beta)) 1)
(-.f64 1 (/.f64 alpha beta))
(*.f64 (-.f64 beta alpha) (/.f64 1 beta))
(*.f64 (/.f64 1 beta) (-.f64 beta alpha))
(/.f64 (-.f64 beta alpha) beta)
(*.f64 (-.f64 beta alpha) (*.f64 (/.f64 1 beta) 1))
(*.f64 (/.f64 1 beta) (-.f64 beta alpha))
(/.f64 (-.f64 beta alpha) beta)
(*.f64 (-.f64 1 (/.f64 alpha beta)) 1)
(-.f64 1 (/.f64 alpha beta))
(*.f64 1 (-.f64 1 (/.f64 alpha beta)))
(-.f64 1 (/.f64 alpha beta))
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(/.f64 (fma.f64 2 alpha 2) beta)
(*.f64 (*.f64 (+.f64 alpha 1) -2) (/.f64 1 (neg.f64 beta)))
(*.f64 (/.f64 1 (neg.f64 beta)) (*.f64 -2 (+.f64 1 alpha)))
(*.f64 (+.f64 1 alpha) (/.f64 -2 (neg.f64 beta)))
(/.f64 (fma.f64 alpha -2 -2) (neg.f64 beta))
(*.f64 (/.f64 1 beta) (fma.f64 2 alpha 2))
(/.f64 (fma.f64 2 alpha 2) beta)
(*.f64 (+.f64 alpha 1) (*.f64 2 (/.f64 1 beta)))
(/.f64 (fma.f64 2 alpha 2) beta)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (fma.f64 2 alpha 2) (cbrt.f64 beta)))
(/.f64 (/.f64 (fma.f64 2 alpha 2) (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2))
(*.f64 (/.f64 1 (sqrt.f64 beta)) (/.f64 (fma.f64 2 alpha 2) (sqrt.f64 beta)))
(/.f64 (/.f64 (fma.f64 2 alpha 2) (sqrt.f64 beta)) (sqrt.f64 beta))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 2 alpha 2)) beta))
(/.f64 (fma.f64 2 alpha 2) beta)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2) (pow.f64 (cbrt.f64 beta) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2) (sqrt.f64 beta)) (/.f64 (cbrt.f64 (fma.f64 2 alpha 2)) (sqrt.f64 beta)))
(*.f64 (/.f64 1 (sqrt.f64 beta)) (/.f64 (fma.f64 2 alpha 2) (sqrt.f64 beta)))
(/.f64 (/.f64 (fma.f64 2 alpha 2) (sqrt.f64 beta)) (sqrt.f64 beta))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 alpha 2)) 1) (/.f64 (sqrt.f64 (fma.f64 2 alpha 2)) beta))
(/.f64 (fma.f64 2 alpha 2) beta)
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 alpha 2)) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (sqrt.f64 (fma.f64 2 alpha 2)) (cbrt.f64 beta)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (fma.f64 2 alpha 2) (cbrt.f64 beta)))
(/.f64 (/.f64 (fma.f64 2 alpha 2) (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2))
(*.f64 (/.f64 (+.f64 alpha 1) 1) (/.f64 2 beta))
(/.f64 (fma.f64 2 alpha 2) beta)
(*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 2 (cbrt.f64 beta)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (fma.f64 2 alpha 2) (cbrt.f64 beta)))
(/.f64 (/.f64 (fma.f64 2 alpha 2) (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2))
(*.f64 (/.f64 (+.f64 alpha 1) (sqrt.f64 beta)) (/.f64 2 (sqrt.f64 beta)))
(*.f64 (/.f64 1 (sqrt.f64 beta)) (/.f64 (fma.f64 2 alpha 2) (sqrt.f64 beta)))
(/.f64 (/.f64 (fma.f64 2 alpha 2) (sqrt.f64 beta)) (sqrt.f64 beta))
(pow.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1)
(/.f64 (fma.f64 2 alpha 2) beta)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) 3)
(/.f64 (fma.f64 2 alpha 2) beta)
(pow.f64 (pow.f64 (/.f64 (fma.f64 2 alpha 2) beta) 3) 1/3)
(/.f64 (fma.f64 2 alpha 2) beta)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) 2)
(/.f64 (fma.f64 2 alpha 2) beta)
(pow.f64 (/.f64 beta (fma.f64 2 alpha 2)) -1)
(/.f64 (fma.f64 2 alpha 2) beta)
(neg.f64 (/.f64 (fma.f64 2 alpha 2) (neg.f64 beta)))
(*.f64 (/.f64 1 (neg.f64 beta)) (*.f64 -2 (+.f64 1 alpha)))
(*.f64 (+.f64 1 alpha) (/.f64 -2 (neg.f64 beta)))
(/.f64 (fma.f64 alpha -2 -2) (neg.f64 beta))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 2 alpha 2) beta) 2))
(/.f64 (fma.f64 2 alpha 2) beta)
(log.f64 (exp.f64 (/.f64 (fma.f64 2 alpha 2) beta)))
(/.f64 (fma.f64 2 alpha 2) beta)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 2 alpha 2) beta))))
(/.f64 (fma.f64 2 alpha 2) beta)
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 2 alpha 2) beta) 3))
(/.f64 (fma.f64 2 alpha 2) beta)
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 2 alpha 2) 3) (pow.f64 beta 3)))
(/.f64 (fma.f64 2 alpha 2) beta)
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 2 alpha 2) beta)))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 2 alpha 2) beta)))
(/.f64 (fma.f64 2 alpha 2) beta)
(exp.f64 (log.f64 (/.f64 (fma.f64 2 alpha 2) beta)))
(/.f64 (fma.f64 2 alpha 2) beta)
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 2 alpha 2) beta)) 1))
(/.f64 (fma.f64 2 alpha 2) beta)

eval101.0ms (1.8%)

Compiler

Compiled 3592 to 2681 computations (25.4% saved)

prune52.0ms (0.9%)

Pruning

14 alts after pruning (10 fresh and 4 done)

PrunedKeptTotal
New2386244
Fresh145
Picked235
Done011
Total24114255
Accuracy
100.0%
Counts
255 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
30.8%
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
9.1%
(/.f64 (/.f64 (*.f64 beta 2) alpha) 2)
30.8%
(/.f64 (/.f64 (neg.f64 (-.f64 (-.f64 -2 beta) beta)) alpha) 2)
25.4%
(/.f64 (/.f64 2 alpha) 2)
47.1%
(/.f64 (-.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))) 2)
29.6%
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)) (-.f64 (-.f64 -2 beta) beta)) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 2)
31.8%
(/.f64 (-.f64 2 (/.f64 alpha beta)) 2)
49.6%
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
73.2%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
70.2%
(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
43.8%
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
29.2%
(/.f64 (+.f64 2 (neg.f64 (/.f64 2 beta))) 2)
31.8%
(/.f64 (+.f64 2 (neg.f64 (*.f64 2 (/.f64 alpha beta)))) 2)
36.4%
(/.f64 2 2)
Compiler

Compiled 332 to 254 computations (23.5% saved)

localize216.0ms (3.8%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
100.0%
(/.f64 (neg.f64 (-.f64 (-.f64 -2 beta) beta)) alpha)
100.0%
(-.f64 (-.f64 -2 beta) beta)
100.0%
(/.f64 alpha (+.f64 alpha 2))
70.7%
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
Compiler

Compiled 117 to 78 computations (33.3% saved)

series9.0ms (0.2%)

Counts
4 → 60
Calls

15 calls:

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

rewrite171.0ms (3%)

Algorithm
batch-egg-rewrite
Rules
949×log1p-expm1-u
949×expm1-log1p-u
892×fma-define
422×fma-neg
414×log1p-undefine
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01895
125785
2397085
Stop Event
node limit
Counts
4 → 248
Calls
Call 1
Inputs
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(/.f64 alpha (+.f64 alpha 2))
(-.f64 (-.f64 -2 beta) beta)
(/.f64 (neg.f64 (-.f64 (-.f64 -2 beta) beta)) alpha)
Outputs
(+.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))
(+.f64 1 (*.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) 1))
(+.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) 1)
(*.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1)
(*.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2) (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(*.f64 (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (/.f64 1 (fma.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1)))
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(/.f64 1 (/.f64 (fma.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))))
(/.f64 1 (/.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (fma.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (neg.f64 (fma.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (neg.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) 3)) (+.f64 1 (-.f64 (*.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))))
(/.f64 (-.f64 1 (*.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (-.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))
(pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1)
(pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 3)
(pow.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2)
(sqrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2))
(log.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))))
(cbrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3))
(expm1.f64 (log1p.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(log1p.f64 (expm1.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(exp.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) 1))
(fma.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) 1)
(fma.f64 alpha (neg.f64 (/.f64 1 (+.f64 alpha 2))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2) (neg.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2)))) 1)
(fma.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))) (neg.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha 2)))) 1)
(fma.f64 (neg.f64 alpha) (/.f64 1 (+.f64 alpha 2)) 1)
(fma.f64 -1 (/.f64 alpha (+.f64 alpha 2)) 1)
(fma.f64 (*.f64 (cbrt.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) (cbrt.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (cbrt.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) 1)
(fma.f64 (sqrt.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) (sqrt.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) 1)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2)) (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 1)
(fma.f64 (neg.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha 2)))) (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))) 1)
(-.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1)
(*.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(*.f64 alpha (/.f64 1 (+.f64 alpha 2)))
(*.f64 (/.f64 alpha (+.f64 alpha 2)) 1)
(*.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2) (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))))
(*.f64 (pow.f64 (cbrt.f64 alpha) 2) (*.f64 (cbrt.f64 alpha) (/.f64 1 (+.f64 alpha 2))))
(*.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))) (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))))
(*.f64 (sqrt.f64 alpha) (*.f64 (sqrt.f64 alpha) (/.f64 1 (+.f64 alpha 2))))
(*.f64 (neg.f64 alpha) (/.f64 1 (fma.f64 -1 alpha -2)))
(*.f64 (/.f64 1 (+.f64 alpha 2)) alpha)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (/.f64 alpha (cbrt.f64 (+.f64 alpha 2))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha 2))) (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) 1) (/.f64 (cbrt.f64 alpha) (+.f64 alpha 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (+.f64 alpha 2))) (/.f64 (cbrt.f64 alpha) (sqrt.f64 (+.f64 alpha 2))))
(*.f64 (/.f64 (sqrt.f64 alpha) 1) (/.f64 (sqrt.f64 alpha) (+.f64 alpha 2)))
(*.f64 (/.f64 (sqrt.f64 alpha) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (/.f64 (sqrt.f64 alpha) (cbrt.f64 (+.f64 alpha 2))))
(*.f64 (/.f64 alpha (+.f64 (pow.f64 alpha 3) 8)) (-.f64 (fma.f64 alpha alpha 4) (*.f64 alpha 2)))
(*.f64 (/.f64 alpha (fma.f64 alpha alpha -4)) (+.f64 alpha -2))
(pow.f64 (/.f64 alpha (+.f64 alpha 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 3)
(pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2)
(pow.f64 (/.f64 (+.f64 alpha 2) alpha) -1)
(neg.f64 (/.f64 alpha (fma.f64 -1 alpha -2)))
(sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))
(log.f64 (exp.f64 (/.f64 alpha (+.f64 alpha 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 alpha (+.f64 alpha 2)))))
(cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))
(expm1.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha 2))))
(log1p.f64 (expm1.f64 (/.f64 alpha (+.f64 alpha 2))))
(exp.f64 (log.f64 (/.f64 alpha (+.f64 alpha 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 alpha (+.f64 alpha 2))) 1))
(fma.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) -1)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (cbrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (cbrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (sqrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) -1)
(+.f64 2 (*.f64 2 beta))
(+.f64 -2 (neg.f64 (*.f64 2 beta)))
(+.f64 -2 (-.f64 (neg.f64 beta) beta))
(+.f64 (-.f64 -2 beta) (neg.f64 beta))
(+.f64 (-.f64 -2 beta) (*.f64 (neg.f64 beta) 1))
(+.f64 (+.f64 2 (*.f64 2 beta)) (fma.f64 (neg.f64 beta) 1 beta))
(+.f64 (+.f64 2 (*.f64 2 beta)) (fma.f64 (neg.f64 (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2) beta))
(+.f64 (+.f64 2 (*.f64 2 beta)) (fma.f64 -1 beta beta))
(+.f64 0 (+.f64 2 (*.f64 2 beta)))
(+.f64 (neg.f64 beta) (-.f64 -2 beta))
(+.f64 (neg.f64 (-.f64 -2 beta)) (neg.f64 (neg.f64 beta)))
(+.f64 (*.f64 -1 (-.f64 -2 beta)) (*.f64 -1 (neg.f64 beta)))
(+.f64 (*.f64 (-.f64 -2 beta) -1) (*.f64 (neg.f64 beta) -1))
(+.f64 (-.f64 0 (-.f64 -2 beta)) beta)
(*.f64 1 (+.f64 2 (*.f64 2 beta)))
(*.f64 (+.f64 2 (*.f64 2 beta)) 1)
(*.f64 (+.f64 2 (*.f64 2 beta)) -1)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2 (*.f64 2 beta))) 2) (cbrt.f64 (+.f64 2 (*.f64 2 beta))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2 (*.f64 2 beta))) 2) (neg.f64 (cbrt.f64 (+.f64 2 (*.f64 2 beta)))))
(*.f64 (cbrt.f64 (+.f64 2 (*.f64 2 beta))) (pow.f64 (cbrt.f64 (+.f64 2 (*.f64 2 beta))) 2))
(*.f64 (sqrt.f64 (+.f64 2 (*.f64 2 beta))) (sqrt.f64 (+.f64 2 (*.f64 2 beta))))
(*.f64 (sqrt.f64 (+.f64 2 (*.f64 2 beta))) (neg.f64 (sqrt.f64 (+.f64 2 (*.f64 2 beta)))))
(*.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3)) (/.f64 1 (fma.f64 beta (+.f64 beta (-.f64 -2 beta)) (pow.f64 (-.f64 -2 beta) 2))))
(*.f64 -1 (+.f64 2 (*.f64 2 beta)))
(*.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (pow.f64 beta 2)) (/.f64 1 (+.f64 beta (-.f64 -2 beta))))
(*.f64 (+.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 beta)) (-.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 beta)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 2 (*.f64 2 beta))) 2)) (cbrt.f64 (+.f64 2 (*.f64 2 beta))))
(*.f64 (neg.f64 (sqrt.f64 (+.f64 2 (*.f64 2 beta)))) (sqrt.f64 (+.f64 2 (*.f64 2 beta))))
(*.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (+.f64 2 (*.f64 2 beta))) 2)) (cbrt.f64 (+.f64 2 (*.f64 2 beta))))
(*.f64 (*.f64 -1 (sqrt.f64 (+.f64 2 (*.f64 2 beta)))) (sqrt.f64 (+.f64 2 (*.f64 2 beta))))
(/.f64 1 (/.f64 (fma.f64 beta (+.f64 beta (-.f64 -2 beta)) (pow.f64 (-.f64 -2 beta) 2)) (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3))))
(/.f64 1 (/.f64 (+.f64 beta (-.f64 -2 beta)) (-.f64 (pow.f64 (-.f64 -2 beta) 2) (pow.f64 beta 2))))
(/.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3)) (fma.f64 beta (+.f64 beta (-.f64 -2 beta)) (pow.f64 (-.f64 -2 beta) 2)))
(/.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (pow.f64 beta 2)) (+.f64 beta (-.f64 -2 beta)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3))) (fma.f64 beta (+.f64 beta (-.f64 -2 beta)) (pow.f64 (-.f64 -2 beta) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3))) (neg.f64 (fma.f64 beta (+.f64 beta (-.f64 -2 beta)) (pow.f64 (-.f64 -2 beta) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (pow.f64 beta 2))) (+.f64 beta (-.f64 -2 beta)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (pow.f64 beta 2))) (neg.f64 (+.f64 beta (-.f64 -2 beta))))
(/.f64 (+.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 (neg.f64 beta) 3)) (+.f64 (pow.f64 (-.f64 -2 beta) 2) (-.f64 (*.f64 (neg.f64 beta) (neg.f64 beta)) (*.f64 (-.f64 -2 beta) (neg.f64 beta)))))
(/.f64 (-.f64 0 (pow.f64 (+.f64 2 (*.f64 2 beta)) 3)) (+.f64 0 (+.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 2) (*.f64 0 (+.f64 2 (*.f64 2 beta))))))
(/.f64 (-.f64 -8 (pow.f64 (*.f64 2 beta) 3)) (+.f64 4 (fma.f64 (*.f64 2 beta) (*.f64 2 beta) (*.f64 -2 (*.f64 2 beta)))))
(/.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 (neg.f64 beta) (neg.f64 beta))) (-.f64 (-.f64 -2 beta) (neg.f64 beta)))
(/.f64 (-.f64 0 (pow.f64 (+.f64 2 (*.f64 2 beta)) 2)) (+.f64 2 (*.f64 2 beta)))
(/.f64 (-.f64 4 (*.f64 (*.f64 2 beta) (*.f64 2 beta))) (+.f64 -2 (*.f64 2 beta)))
(/.f64 (*.f64 -1 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3))) (fma.f64 beta (+.f64 beta (-.f64 -2 beta)) (pow.f64 (-.f64 -2 beta) 2)))
(/.f64 (*.f64 -1 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (pow.f64 beta 2))) (+.f64 beta (-.f64 -2 beta)))
(pow.f64 (+.f64 2 (*.f64 2 beta)) 1)
(pow.f64 (cbrt.f64 (+.f64 2 (*.f64 2 beta))) 3)
(pow.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 2 (*.f64 2 beta))) 2)
(neg.f64 (+.f64 2 (*.f64 2 beta)))
(sqrt.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 2))
(log.f64 (exp.f64 (+.f64 2 (*.f64 2 beta))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 2 (*.f64 2 beta)))))
(cbrt.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 3))
(expm1.f64 (log1p.f64 (+.f64 2 (*.f64 2 beta))))
(log1p.f64 (expm1.f64 (+.f64 2 (*.f64 2 beta))))
(exp.f64 (log.f64 (+.f64 2 (*.f64 2 beta))))
(exp.f64 (*.f64 (log.f64 (+.f64 2 (*.f64 2 beta))) 1))
(fma.f64 1 (-.f64 -2 beta) (neg.f64 beta))
(fma.f64 1 (-.f64 -2 beta) (*.f64 (neg.f64 beta) 1))
(fma.f64 1 (+.f64 2 (*.f64 2 beta)) (fma.f64 (neg.f64 beta) 1 beta))
(fma.f64 1 (+.f64 2 (*.f64 2 beta)) (fma.f64 (neg.f64 (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2) beta))
(fma.f64 1 (+.f64 2 (*.f64 2 beta)) (fma.f64 -1 beta beta))
(fma.f64 1 (neg.f64 beta) (-.f64 -2 beta))
(fma.f64 (-.f64 -2 beta) 1 (neg.f64 beta))
(fma.f64 (-.f64 -2 beta) 1 (*.f64 (neg.f64 beta) 1))
(fma.f64 (-.f64 -2 beta) -1 (*.f64 (neg.f64 beta) -1))
(fma.f64 (+.f64 2 (*.f64 2 beta)) 1 (fma.f64 (neg.f64 beta) 1 beta))
(fma.f64 (+.f64 2 (*.f64 2 beta)) 1 (fma.f64 (neg.f64 (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2) beta))
(fma.f64 (+.f64 2 (*.f64 2 beta)) 1 (fma.f64 -1 beta beta))
(fma.f64 (+.f64 2 (*.f64 2 beta)) -1 (fma.f64 (neg.f64 beta) 1 beta))
(fma.f64 (+.f64 2 (*.f64 2 beta)) -1 (fma.f64 (neg.f64 (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2) beta))
(fma.f64 (+.f64 2 (*.f64 2 beta)) -1 (fma.f64 -1 beta beta))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 2 (*.f64 2 beta))) 2) (cbrt.f64 (+.f64 2 (*.f64 2 beta))) (fma.f64 (neg.f64 beta) 1 beta))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 2 (*.f64 2 beta))) 2) (cbrt.f64 (+.f64 2 (*.f64 2 beta))) (fma.f64 (neg.f64 (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2) beta))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 2 (*.f64 2 beta))) 2) (cbrt.f64 (+.f64 2 (*.f64 2 beta))) (fma.f64 -1 beta beta))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 2 (*.f64 2 beta))) 2) (neg.f64 (cbrt.f64 (+.f64 2 (*.f64 2 beta)))) (fma.f64 (neg.f64 beta) 1 beta))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 2 (*.f64 2 beta))) 2) (neg.f64 (cbrt.f64 (+.f64 2 (*.f64 2 beta)))) (fma.f64 (neg.f64 (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2) beta))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 2 (*.f64 2 beta))) 2) (neg.f64 (cbrt.f64 (+.f64 2 (*.f64 2 beta)))) (fma.f64 -1 beta beta))
(fma.f64 (cbrt.f64 (-.f64 -2 beta)) (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) (neg.f64 beta))
(fma.f64 (cbrt.f64 (-.f64 -2 beta)) (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) (*.f64 (neg.f64 beta) 1))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) (cbrt.f64 (-.f64 -2 beta)) (neg.f64 beta))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) (cbrt.f64 (-.f64 -2 beta)) (*.f64 (neg.f64 beta) 1))
(fma.f64 (cbrt.f64 (+.f64 2 (*.f64 2 beta))) (pow.f64 (cbrt.f64 (+.f64 2 (*.f64 2 beta))) 2) (fma.f64 (neg.f64 beta) 1 beta))
(fma.f64 (cbrt.f64 (+.f64 2 (*.f64 2 beta))) (pow.f64 (cbrt.f64 (+.f64 2 (*.f64 2 beta))) 2) (fma.f64 (neg.f64 (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2) beta))
(fma.f64 (cbrt.f64 (+.f64 2 (*.f64 2 beta))) (pow.f64 (cbrt.f64 (+.f64 2 (*.f64 2 beta))) 2) (fma.f64 -1 beta beta))
(fma.f64 (pow.f64 (cbrt.f64 beta) 2) (neg.f64 (cbrt.f64 beta)) (-.f64 -2 beta))
(fma.f64 (sqrt.f64 (+.f64 2 (*.f64 2 beta))) (sqrt.f64 (+.f64 2 (*.f64 2 beta))) (fma.f64 (neg.f64 beta) 1 beta))
(fma.f64 (sqrt.f64 (+.f64 2 (*.f64 2 beta))) (sqrt.f64 (+.f64 2 (*.f64 2 beta))) (fma.f64 (neg.f64 (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2) beta))
(fma.f64 (sqrt.f64 (+.f64 2 (*.f64 2 beta))) (sqrt.f64 (+.f64 2 (*.f64 2 beta))) (fma.f64 -1 beta beta))
(fma.f64 (sqrt.f64 (+.f64 2 (*.f64 2 beta))) (neg.f64 (sqrt.f64 (+.f64 2 (*.f64 2 beta)))) (fma.f64 (neg.f64 beta) 1 beta))
(fma.f64 (sqrt.f64 (+.f64 2 (*.f64 2 beta))) (neg.f64 (sqrt.f64 (+.f64 2 (*.f64 2 beta)))) (fma.f64 (neg.f64 (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2) beta))
(fma.f64 (sqrt.f64 (+.f64 2 (*.f64 2 beta))) (neg.f64 (sqrt.f64 (+.f64 2 (*.f64 2 beta)))) (fma.f64 -1 beta beta))
(fma.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 (-.f64 -2 beta)) (neg.f64 beta))
(fma.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 (-.f64 -2 beta)) (*.f64 (neg.f64 beta) 1))
(fma.f64 (sqrt.f64 beta) (neg.f64 (sqrt.f64 beta)) (-.f64 -2 beta))
(fma.f64 (-.f64 -8 (pow.f64 beta 3)) (/.f64 1 (fma.f64 beta (+.f64 -2 beta) 4)) (neg.f64 beta))
(fma.f64 (-.f64 -8 (pow.f64 beta 3)) (/.f64 1 (fma.f64 beta (+.f64 -2 beta) 4)) (*.f64 (neg.f64 beta) 1))
(fma.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3)) (/.f64 1 (fma.f64 beta (+.f64 beta (-.f64 -2 beta)) (pow.f64 (-.f64 -2 beta) 2))) (fma.f64 (neg.f64 beta) 1 beta))
(fma.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3)) (/.f64 1 (fma.f64 beta (+.f64 beta (-.f64 -2 beta)) (pow.f64 (-.f64 -2 beta) 2))) (fma.f64 (neg.f64 (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2) beta))
(fma.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3)) (/.f64 1 (fma.f64 beta (+.f64 beta (-.f64 -2 beta)) (pow.f64 (-.f64 -2 beta) 2))) (fma.f64 -1 beta beta))
(fma.f64 -1 beta (-.f64 -2 beta))
(fma.f64 -1 (-.f64 -2 beta) (*.f64 -1 (neg.f64 beta)))
(fma.f64 -1 (+.f64 2 (*.f64 2 beta)) (fma.f64 (neg.f64 beta) 1 beta))
(fma.f64 -1 (+.f64 2 (*.f64 2 beta)) (fma.f64 (neg.f64 (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2) beta))
(fma.f64 -1 (+.f64 2 (*.f64 2 beta)) (fma.f64 -1 beta beta))
(fma.f64 (-.f64 4 (pow.f64 beta 2)) (/.f64 1 (+.f64 -2 beta)) (neg.f64 beta))
(fma.f64 (-.f64 4 (pow.f64 beta 2)) (/.f64 1 (+.f64 -2 beta)) (*.f64 (neg.f64 beta) 1))
(fma.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (pow.f64 beta 2)) (/.f64 1 (+.f64 beta (-.f64 -2 beta))) (fma.f64 (neg.f64 beta) 1 beta))
(fma.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (pow.f64 beta 2)) (/.f64 1 (+.f64 beta (-.f64 -2 beta))) (fma.f64 (neg.f64 (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2) beta))
(fma.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (pow.f64 beta 2)) (/.f64 1 (+.f64 beta (-.f64 -2 beta))) (fma.f64 -1 beta beta))
(fma.f64 (neg.f64 (sqrt.f64 beta)) (sqrt.f64 beta) (-.f64 -2 beta))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 beta)) (cbrt.f64 (neg.f64 beta))) (cbrt.f64 (neg.f64 beta)) (-.f64 -2 beta))
(fma.f64 (sqrt.f64 (neg.f64 beta)) (sqrt.f64 (neg.f64 beta)) (-.f64 -2 beta))
(fma.f64 (+.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 beta)) (-.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 beta)) (fma.f64 (neg.f64 beta) 1 beta))
(fma.f64 (+.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 beta)) (-.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 beta)) (fma.f64 (neg.f64 (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2) beta))
(fma.f64 (+.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 beta)) (-.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 beta)) (fma.f64 -1 beta beta))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 beta) (-.f64 -2 beta))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 2 (*.f64 2 beta))) 2)) (cbrt.f64 (+.f64 2 (*.f64 2 beta))) (fma.f64 (neg.f64 beta) 1 beta))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 2 (*.f64 2 beta))) 2)) (cbrt.f64 (+.f64 2 (*.f64 2 beta))) (fma.f64 (neg.f64 (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2) beta))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 2 (*.f64 2 beta))) 2)) (cbrt.f64 (+.f64 2 (*.f64 2 beta))) (fma.f64 -1 beta beta))
(fma.f64 (neg.f64 (sqrt.f64 (+.f64 2 (*.f64 2 beta)))) (sqrt.f64 (+.f64 2 (*.f64 2 beta))) (fma.f64 (neg.f64 beta) 1 beta))
(fma.f64 (neg.f64 (sqrt.f64 (+.f64 2 (*.f64 2 beta)))) (sqrt.f64 (+.f64 2 (*.f64 2 beta))) (fma.f64 (neg.f64 (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2) beta))
(fma.f64 (neg.f64 (sqrt.f64 (+.f64 2 (*.f64 2 beta)))) (sqrt.f64 (+.f64 2 (*.f64 2 beta))) (fma.f64 -1 beta beta))
(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (+.f64 2 (*.f64 2 beta))) 2)) (cbrt.f64 (+.f64 2 (*.f64 2 beta))) (fma.f64 (neg.f64 beta) 1 beta))
(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (+.f64 2 (*.f64 2 beta))) 2)) (cbrt.f64 (+.f64 2 (*.f64 2 beta))) (fma.f64 (neg.f64 (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2) beta))
(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (+.f64 2 (*.f64 2 beta))) 2)) (cbrt.f64 (+.f64 2 (*.f64 2 beta))) (fma.f64 -1 beta beta))
(fma.f64 (*.f64 -1 (sqrt.f64 (+.f64 2 (*.f64 2 beta)))) (sqrt.f64 (+.f64 2 (*.f64 2 beta))) (fma.f64 (neg.f64 beta) 1 beta))
(fma.f64 (*.f64 -1 (sqrt.f64 (+.f64 2 (*.f64 2 beta)))) (sqrt.f64 (+.f64 2 (*.f64 2 beta))) (fma.f64 (neg.f64 (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2) beta))
(fma.f64 (*.f64 -1 (sqrt.f64 (+.f64 2 (*.f64 2 beta)))) (sqrt.f64 (+.f64 2 (*.f64 2 beta))) (fma.f64 -1 beta beta))
(-.f64 0 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))) 1)
(-.f64 (/.f64 0 alpha) (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(-.f64 (/.f64 -2 alpha) (/.f64 (*.f64 2 beta) alpha))
(-.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 beta alpha))
(*.f64 1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(*.f64 (+.f64 2 (*.f64 2 beta)) (/.f64 1 alpha))
(*.f64 (+.f64 2 (*.f64 2 beta)) (/.f64 1 (neg.f64 alpha)))
(*.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 1)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2 (*.f64 2 beta))) 2) (*.f64 (cbrt.f64 (+.f64 2 (*.f64 2 beta))) (/.f64 1 alpha)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) 2) (cbrt.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)))
(*.f64 (sqrt.f64 (+.f64 2 (*.f64 2 beta))) (*.f64 (sqrt.f64 (+.f64 2 (*.f64 2 beta))) (/.f64 1 alpha)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (sqrt.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)))
(*.f64 (/.f64 1 alpha) (+.f64 2 (*.f64 2 beta)))
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (+.f64 2 (*.f64 2 beta)) (cbrt.f64 alpha)))
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 2 (*.f64 2 beta)) (sqrt.f64 alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (*.f64 2 beta))) 2) 1) (/.f64 (cbrt.f64 (+.f64 2 (*.f64 2 beta))) alpha))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (*.f64 2 beta))) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (*.f64 2 beta))) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (+.f64 2 (*.f64 2 beta))) (sqrt.f64 alpha)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 2 (*.f64 2 beta))) 1) (/.f64 (sqrt.f64 (+.f64 2 (*.f64 2 beta))) alpha))
(*.f64 (/.f64 (sqrt.f64 (+.f64 2 (*.f64 2 beta))) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (+.f64 2 (*.f64 2 beta))) (cbrt.f64 alpha)))
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (+.f64 2 (*.f64 2 beta)) (cbrt.f64 alpha)))
(*.f64 (/.f64 -1 (sqrt.f64 alpha)) (/.f64 (+.f64 2 (*.f64 2 beta)) (sqrt.f64 alpha)))
(pow.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) 2)
(pow.f64 (/.f64 alpha (+.f64 2 (*.f64 2 beta))) -1)
(neg.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 3) (pow.f64 alpha 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)))
(exp.f64 (log.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) 1))

simplify138.0ms (2.4%)

Algorithm
egg-herbie
Rules
774×fma-neg
656×div-sub
624×log-prod
432×associate-*r*
420×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05409006
113347479
246727275
Stop Event
node limit
Counts
308 → 339
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 1 (+.f64 (*.f64 -1/2 alpha) (+.f64 (*.f64 -1/8 (pow.f64 alpha 3)) (*.f64 1/4 (pow.f64 alpha 2)))))
(/.f64 2 alpha)
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (*.f64 16 (/.f64 1 (pow.f64 alpha 4)))))
(/.f64 2 alpha)
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (*.f64 16 (/.f64 1 (pow.f64 alpha 4)))))
(*.f64 1/2 alpha)
(+.f64 (*.f64 -1/4 (pow.f64 alpha 2)) (*.f64 1/2 alpha))
(+.f64 (*.f64 -1/4 (pow.f64 alpha 2)) (+.f64 (*.f64 1/8 (pow.f64 alpha 3)) (*.f64 1/2 alpha)))
(+.f64 (*.f64 -1/4 (pow.f64 alpha 2)) (+.f64 (*.f64 -1/16 (pow.f64 alpha 4)) (+.f64 (*.f64 1/8 (pow.f64 alpha 3)) (*.f64 1/2 alpha))))
1
(-.f64 1 (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 8 (/.f64 1 (pow.f64 alpha 3)))))
1
(-.f64 1 (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 8 (/.f64 1 (pow.f64 alpha 3)))))
-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))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
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(fma.f64 (sqrt.f64 beta) (neg.f64 (sqrt.f64 beta)) (-.f64 -2 beta))
(fma.f64 (-.f64 -8 (pow.f64 beta 3)) (/.f64 1 (fma.f64 beta (+.f64 -2 beta) 4)) (neg.f64 beta))
(fma.f64 (-.f64 -8 (pow.f64 beta 3)) (/.f64 1 (fma.f64 beta (+.f64 -2 beta) 4)) (*.f64 (neg.f64 beta) 1))
(fma.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3)) (/.f64 1 (fma.f64 beta (+.f64 beta (-.f64 -2 beta)) (pow.f64 (-.f64 -2 beta) 2))) (fma.f64 (neg.f64 beta) 1 beta))
(fma.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3)) (/.f64 1 (fma.f64 beta (+.f64 beta (-.f64 -2 beta)) (pow.f64 (-.f64 -2 beta) 2))) (fma.f64 (neg.f64 (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2) beta))
(fma.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3)) (/.f64 1 (fma.f64 beta (+.f64 beta (-.f64 -2 beta)) (pow.f64 (-.f64 -2 beta) 2))) (fma.f64 -1 beta beta))
(fma.f64 -1 beta (-.f64 -2 beta))
(fma.f64 -1 (-.f64 -2 beta) (*.f64 -1 (neg.f64 beta)))
(fma.f64 -1 (+.f64 2 (*.f64 2 beta)) (fma.f64 (neg.f64 beta) 1 beta))
(fma.f64 -1 (+.f64 2 (*.f64 2 beta)) (fma.f64 (neg.f64 (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2) beta))
(fma.f64 -1 (+.f64 2 (*.f64 2 beta)) (fma.f64 -1 beta beta))
(fma.f64 (-.f64 4 (pow.f64 beta 2)) (/.f64 1 (+.f64 -2 beta)) (neg.f64 beta))
(fma.f64 (-.f64 4 (pow.f64 beta 2)) (/.f64 1 (+.f64 -2 beta)) (*.f64 (neg.f64 beta) 1))
(fma.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (pow.f64 beta 2)) (/.f64 1 (+.f64 beta (-.f64 -2 beta))) (fma.f64 (neg.f64 beta) 1 beta))
(fma.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (pow.f64 beta 2)) (/.f64 1 (+.f64 beta (-.f64 -2 beta))) (fma.f64 (neg.f64 (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2) beta))
(fma.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (pow.f64 beta 2)) (/.f64 1 (+.f64 beta (-.f64 -2 beta))) (fma.f64 -1 beta beta))
(fma.f64 (neg.f64 (sqrt.f64 beta)) (sqrt.f64 beta) (-.f64 -2 beta))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 beta)) (cbrt.f64 (neg.f64 beta))) (cbrt.f64 (neg.f64 beta)) (-.f64 -2 beta))
(fma.f64 (sqrt.f64 (neg.f64 beta)) (sqrt.f64 (neg.f64 beta)) (-.f64 -2 beta))
(fma.f64 (+.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 beta)) (-.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 beta)) (fma.f64 (neg.f64 beta) 1 beta))
(fma.f64 (+.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 beta)) (-.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 beta)) (fma.f64 (neg.f64 (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2) beta))
(fma.f64 (+.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 beta)) (-.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 beta)) (fma.f64 -1 beta beta))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 beta) (-.f64 -2 beta))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 2 (*.f64 2 beta))) 2)) (cbrt.f64 (+.f64 2 (*.f64 2 beta))) (fma.f64 (neg.f64 beta) 1 beta))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 2 (*.f64 2 beta))) 2)) (cbrt.f64 (+.f64 2 (*.f64 2 beta))) (fma.f64 (neg.f64 (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2) beta))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 2 (*.f64 2 beta))) 2)) (cbrt.f64 (+.f64 2 (*.f64 2 beta))) (fma.f64 -1 beta beta))
(fma.f64 (neg.f64 (sqrt.f64 (+.f64 2 (*.f64 2 beta)))) (sqrt.f64 (+.f64 2 (*.f64 2 beta))) (fma.f64 (neg.f64 beta) 1 beta))
(fma.f64 (neg.f64 (sqrt.f64 (+.f64 2 (*.f64 2 beta)))) (sqrt.f64 (+.f64 2 (*.f64 2 beta))) (fma.f64 (neg.f64 (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2) beta))
(fma.f64 (neg.f64 (sqrt.f64 (+.f64 2 (*.f64 2 beta)))) (sqrt.f64 (+.f64 2 (*.f64 2 beta))) (fma.f64 -1 beta beta))
(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (+.f64 2 (*.f64 2 beta))) 2)) (cbrt.f64 (+.f64 2 (*.f64 2 beta))) (fma.f64 (neg.f64 beta) 1 beta))
(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (+.f64 2 (*.f64 2 beta))) 2)) (cbrt.f64 (+.f64 2 (*.f64 2 beta))) (fma.f64 (neg.f64 (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2) beta))
(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (+.f64 2 (*.f64 2 beta))) 2)) (cbrt.f64 (+.f64 2 (*.f64 2 beta))) (fma.f64 -1 beta beta))
(fma.f64 (*.f64 -1 (sqrt.f64 (+.f64 2 (*.f64 2 beta)))) (sqrt.f64 (+.f64 2 (*.f64 2 beta))) (fma.f64 (neg.f64 beta) 1 beta))
(fma.f64 (*.f64 -1 (sqrt.f64 (+.f64 2 (*.f64 2 beta)))) (sqrt.f64 (+.f64 2 (*.f64 2 beta))) (fma.f64 (neg.f64 (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2) beta))
(fma.f64 (*.f64 -1 (sqrt.f64 (+.f64 2 (*.f64 2 beta)))) (sqrt.f64 (+.f64 2 (*.f64 2 beta))) (fma.f64 -1 beta beta))
(-.f64 0 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))) 1)
(-.f64 (/.f64 0 alpha) (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(-.f64 (/.f64 -2 alpha) (/.f64 (*.f64 2 beta) alpha))
(-.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 beta alpha))
(*.f64 1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(*.f64 (+.f64 2 (*.f64 2 beta)) (/.f64 1 alpha))
(*.f64 (+.f64 2 (*.f64 2 beta)) (/.f64 1 (neg.f64 alpha)))
(*.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 1)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2 (*.f64 2 beta))) 2) (*.f64 (cbrt.f64 (+.f64 2 (*.f64 2 beta))) (/.f64 1 alpha)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) 2) (cbrt.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)))
(*.f64 (sqrt.f64 (+.f64 2 (*.f64 2 beta))) (*.f64 (sqrt.f64 (+.f64 2 (*.f64 2 beta))) (/.f64 1 alpha)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (sqrt.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)))
(*.f64 (/.f64 1 alpha) (+.f64 2 (*.f64 2 beta)))
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (+.f64 2 (*.f64 2 beta)) (cbrt.f64 alpha)))
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 2 (*.f64 2 beta)) (sqrt.f64 alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (*.f64 2 beta))) 2) 1) (/.f64 (cbrt.f64 (+.f64 2 (*.f64 2 beta))) alpha))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (*.f64 2 beta))) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (*.f64 2 beta))) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (+.f64 2 (*.f64 2 beta))) (sqrt.f64 alpha)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 2 (*.f64 2 beta))) 1) (/.f64 (sqrt.f64 (+.f64 2 (*.f64 2 beta))) alpha))
(*.f64 (/.f64 (sqrt.f64 (+.f64 2 (*.f64 2 beta))) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (+.f64 2 (*.f64 2 beta))) (cbrt.f64 alpha)))
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (+.f64 2 (*.f64 2 beta)) (cbrt.f64 alpha)))
(*.f64 (/.f64 -1 (sqrt.f64 alpha)) (/.f64 (+.f64 2 (*.f64 2 beta)) (sqrt.f64 alpha)))
(pow.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) 2)
(pow.f64 (/.f64 alpha (+.f64 2 (*.f64 2 beta))) -1)
(neg.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 3) (pow.f64 alpha 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)))
(exp.f64 (log.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) 1))
Outputs
1
(+.f64 1 (*.f64 -1/2 alpha))
(fma.f64 -1/2 alpha 1)
(+.f64 1 (+.f64 (*.f64 -1/2 alpha) (*.f64 1/4 (pow.f64 alpha 2))))
(+.f64 1 (fma.f64 -1/2 alpha (*.f64 1/4 (pow.f64 alpha 2))))
(+.f64 (fma.f64 -1/2 alpha 1) (*.f64 1/4 (pow.f64 alpha 2)))
(+.f64 1 (+.f64 (*.f64 -1/2 alpha) (+.f64 (*.f64 -1/8 (pow.f64 alpha 3)) (*.f64 1/4 (pow.f64 alpha 2)))))
(+.f64 1 (fma.f64 -1/2 alpha (fma.f64 -1/8 (pow.f64 alpha 3) (*.f64 1/4 (pow.f64 alpha 2)))))
(+.f64 1 (fma.f64 -1/2 alpha (fma.f64 1/4 (pow.f64 alpha 2) (*.f64 -1/8 (pow.f64 alpha 3)))))
(+.f64 (fma.f64 -1/2 alpha 1) (fma.f64 1/4 (pow.f64 alpha 2) (*.f64 -1/8 (pow.f64 alpha 3))))
(/.f64 2 alpha)
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (/.f64 2 alpha) (/.f64 4 (pow.f64 alpha 2)))
(+.f64 (/.f64 2 alpha) (/.f64 -4 (pow.f64 alpha 2)))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (pow.f64 alpha 2))))
(+.f64 (/.f64 2 alpha) (-.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 4 (pow.f64 alpha 2))))
(+.f64 (/.f64 2 alpha) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 -4 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (*.f64 16 (/.f64 1 (pow.f64 alpha 4)))))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (+.f64 (/.f64 4 (pow.f64 alpha 2)) (/.f64 16 (pow.f64 alpha 4)))))
(+.f64 (/.f64 2 alpha) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 -4 (pow.f64 alpha 2)) (/.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 (pow.f64 alpha 2)))
(+.f64 (/.f64 2 alpha) (/.f64 -4 (pow.f64 alpha 2)))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (pow.f64 alpha 2))))
(+.f64 (/.f64 2 alpha) (-.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 4 (pow.f64 alpha 2))))
(+.f64 (/.f64 2 alpha) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 -4 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (*.f64 16 (/.f64 1 (pow.f64 alpha 4)))))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (+.f64 (/.f64 4 (pow.f64 alpha 2)) (/.f64 16 (pow.f64 alpha 4)))))
(+.f64 (/.f64 2 alpha) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 -4 (pow.f64 alpha 2)) (/.f64 16 (pow.f64 alpha 4)))))
(*.f64 1/2 alpha)
(*.f64 alpha 1/2)
(+.f64 (*.f64 -1/4 (pow.f64 alpha 2)) (*.f64 1/2 alpha))
(fma.f64 -1/4 (pow.f64 alpha 2) (*.f64 alpha 1/2))
(fma.f64 alpha 1/2 (*.f64 (pow.f64 alpha 2) -1/4))
(+.f64 (*.f64 -1/4 (pow.f64 alpha 2)) (+.f64 (*.f64 1/8 (pow.f64 alpha 3)) (*.f64 1/2 alpha)))
(fma.f64 -1/4 (pow.f64 alpha 2) (fma.f64 1/8 (pow.f64 alpha 3) (*.f64 alpha 1/2)))
(fma.f64 (pow.f64 alpha 2) -1/4 (fma.f64 alpha 1/2 (*.f64 (pow.f64 alpha 3) 1/8)))
(+.f64 (*.f64 -1/4 (pow.f64 alpha 2)) (+.f64 (*.f64 -1/16 (pow.f64 alpha 4)) (+.f64 (*.f64 1/8 (pow.f64 alpha 3)) (*.f64 1/2 alpha))))
(fma.f64 -1/4 (pow.f64 alpha 2) (fma.f64 -1/16 (pow.f64 alpha 4) (fma.f64 1/8 (pow.f64 alpha 3) (*.f64 alpha 1/2))))
(fma.f64 (pow.f64 alpha 2) -1/4 (fma.f64 (pow.f64 alpha 4) -1/16 (fma.f64 alpha 1/2 (*.f64 (pow.f64 alpha 3) 1/8))))
1
(-.f64 1 (*.f64 2 (/.f64 1 alpha)))
(-.f64 1 (/.f64 2 alpha))
(+.f64 1 (/.f64 -2 alpha))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 2 (/.f64 1 alpha)))
(+.f64 1 (-.f64 (/.f64 4 (pow.f64 alpha 2)) (/.f64 2 alpha)))
(+.f64 1 (+.f64 (/.f64 4 (pow.f64 alpha 2)) (/.f64 -2 alpha)))
(+.f64 (/.f64 4 (pow.f64 alpha 2)) (+.f64 1 (/.f64 -2 alpha)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 8 (/.f64 1 (pow.f64 alpha 3)))))
(+.f64 1 (-.f64 (/.f64 4 (pow.f64 alpha 2)) (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3)))))
(+.f64 1 (+.f64 (/.f64 4 (pow.f64 alpha 2)) (-.f64 (/.f64 -2 alpha) (/.f64 8 (pow.f64 alpha 3)))))
1
(-.f64 1 (*.f64 2 (/.f64 1 alpha)))
(-.f64 1 (/.f64 2 alpha))
(+.f64 1 (/.f64 -2 alpha))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 2 (/.f64 1 alpha)))
(+.f64 1 (-.f64 (/.f64 4 (pow.f64 alpha 2)) (/.f64 2 alpha)))
(+.f64 1 (+.f64 (/.f64 4 (pow.f64 alpha 2)) (/.f64 -2 alpha)))
(+.f64 (/.f64 4 (pow.f64 alpha 2)) (+.f64 1 (/.f64 -2 alpha)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 8 (/.f64 1 (pow.f64 alpha 3)))))
(+.f64 1 (-.f64 (/.f64 4 (pow.f64 alpha 2)) (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3)))))
(+.f64 1 (+.f64 (/.f64 4 (pow.f64 alpha 2)) (-.f64 (/.f64 -2 alpha) (/.f64 8 (pow.f64 alpha 3)))))
-2
(-.f64 (*.f64 -2 beta) 2)
(fma.f64 -2 beta -2)
(-.f64 (*.f64 -2 beta) 2)
(fma.f64 -2 beta -2)
(-.f64 (*.f64 -2 beta) 2)
(fma.f64 -2 beta -2)
(*.f64 -2 beta)
(-.f64 (*.f64 -2 beta) 2)
(fma.f64 -2 beta -2)
(-.f64 (*.f64 -2 beta) 2)
(fma.f64 -2 beta -2)
(-.f64 (*.f64 -2 beta) 2)
(fma.f64 -2 beta -2)
(*.f64 -2 beta)
(-.f64 (*.f64 -2 beta) 2)
(fma.f64 -2 beta -2)
(-.f64 (*.f64 -2 beta) 2)
(fma.f64 -2 beta -2)
(-.f64 (*.f64 -2 beta) 2)
(fma.f64 -2 beta -2)
(/.f64 2 alpha)
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 2 (/.f64 beta alpha))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 2 (/.f64 beta alpha))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(+.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(+.f64 1 (*.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) 1))
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(+.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) 1)
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
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(-.f64 (/.f64 (-.f64 4 (pow.f64 beta 2)) (+.f64 -2 beta)) beta)
(fma.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (pow.f64 beta 2)) (/.f64 1 (+.f64 beta (-.f64 -2 beta))) (fma.f64 (neg.f64 beta) 1 beta))
(*.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (pow.f64 beta 2)) (/.f64 1 (-.f64 (+.f64 -2 beta) beta)))
(*.f64 -1/2 (*.f64 -2 (fma.f64 -2 beta -2)))
(fma.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (pow.f64 beta 2)) (/.f64 1 (+.f64 beta (-.f64 -2 beta))) (fma.f64 (neg.f64 (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2) beta))
(*.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (pow.f64 beta 2)) (/.f64 1 (-.f64 (+.f64 -2 beta) beta)))
(*.f64 -1/2 (*.f64 -2 (fma.f64 -2 beta -2)))
(fma.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (pow.f64 beta 2)) (/.f64 1 (+.f64 beta (-.f64 -2 beta))) (fma.f64 -1 beta beta))
(*.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (pow.f64 beta 2)) (/.f64 1 (-.f64 (+.f64 -2 beta) beta)))
(*.f64 -1/2 (*.f64 -2 (fma.f64 -2 beta -2)))
(fma.f64 (neg.f64 (sqrt.f64 beta)) (sqrt.f64 beta) (-.f64 -2 beta))
(fma.f64 -2 beta -2)
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 beta)) (cbrt.f64 (neg.f64 beta))) (cbrt.f64 (neg.f64 beta)) (-.f64 -2 beta))
(fma.f64 -2 beta -2)
(fma.f64 (sqrt.f64 (neg.f64 beta)) (sqrt.f64 (neg.f64 beta)) (-.f64 -2 beta))
(fma.f64 -2 beta -2)
(fma.f64 (+.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 beta)) (-.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 beta)) (fma.f64 (neg.f64 beta) 1 beta))
(fma.f64 -2 beta -2)
(fma.f64 (+.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 beta)) (-.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 beta)) (fma.f64 (neg.f64 (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2) beta))
(fma.f64 -2 beta -2)
(fma.f64 (+.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 beta)) (-.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 beta)) (fma.f64 -1 beta beta))
(fma.f64 -2 beta -2)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 beta) (-.f64 -2 beta))
(fma.f64 -2 beta -2)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 2 (*.f64 2 beta))) 2)) (cbrt.f64 (+.f64 2 (*.f64 2 beta))) (fma.f64 (neg.f64 beta) 1 beta))
(fma.f64 -2 beta -2)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 2 (*.f64 2 beta))) 2)) (cbrt.f64 (+.f64 2 (*.f64 2 beta))) (fma.f64 (neg.f64 (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2) beta))
(fma.f64 -2 beta -2)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 2 (*.f64 2 beta))) 2)) (cbrt.f64 (+.f64 2 (*.f64 2 beta))) (fma.f64 -1 beta beta))
(fma.f64 -2 beta -2)
(fma.f64 (neg.f64 (sqrt.f64 (+.f64 2 (*.f64 2 beta)))) (sqrt.f64 (+.f64 2 (*.f64 2 beta))) (fma.f64 (neg.f64 beta) 1 beta))
(fma.f64 -2 beta -2)
(fma.f64 (neg.f64 (sqrt.f64 (+.f64 2 (*.f64 2 beta)))) (sqrt.f64 (+.f64 2 (*.f64 2 beta))) (fma.f64 (neg.f64 (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2) beta))
(fma.f64 -2 beta -2)
(fma.f64 (neg.f64 (sqrt.f64 (+.f64 2 (*.f64 2 beta)))) (sqrt.f64 (+.f64 2 (*.f64 2 beta))) (fma.f64 -1 beta beta))
(fma.f64 -2 beta -2)
(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (+.f64 2 (*.f64 2 beta))) 2)) (cbrt.f64 (+.f64 2 (*.f64 2 beta))) (fma.f64 (neg.f64 beta) 1 beta))
(fma.f64 -2 beta -2)
(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (+.f64 2 (*.f64 2 beta))) 2)) (cbrt.f64 (+.f64 2 (*.f64 2 beta))) (fma.f64 (neg.f64 (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2) beta))
(fma.f64 -2 beta -2)
(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (+.f64 2 (*.f64 2 beta))) 2)) (cbrt.f64 (+.f64 2 (*.f64 2 beta))) (fma.f64 -1 beta beta))
(fma.f64 -2 beta -2)
(fma.f64 (*.f64 -1 (sqrt.f64 (+.f64 2 (*.f64 2 beta)))) (sqrt.f64 (+.f64 2 (*.f64 2 beta))) (fma.f64 (neg.f64 beta) 1 beta))
(fma.f64 -2 beta -2)
(fma.f64 (*.f64 -1 (sqrt.f64 (+.f64 2 (*.f64 2 beta)))) (sqrt.f64 (+.f64 2 (*.f64 2 beta))) (fma.f64 (neg.f64 (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2) beta))
(fma.f64 -2 beta -2)
(fma.f64 (*.f64 -1 (sqrt.f64 (+.f64 2 (*.f64 2 beta)))) (sqrt.f64 (+.f64 2 (*.f64 2 beta))) (fma.f64 -1 beta beta))
(fma.f64 -2 beta -2)
(-.f64 0 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(/.f64 (fma.f64 -2 beta -2) alpha)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))) 1)
(expm1.f64 (log1p.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 2 beta 2) alpha)))
(-.f64 (/.f64 0 alpha) (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(/.f64 (fma.f64 -2 beta -2) alpha)
(-.f64 (/.f64 -2 alpha) (/.f64 (*.f64 2 beta) alpha))
(/.f64 (fma.f64 -2 beta -2) alpha)
(-.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 beta alpha))
(/.f64 (fma.f64 -2 beta -2) alpha)
(*.f64 1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (+.f64 2 (*.f64 2 beta)) (/.f64 1 alpha))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (+.f64 2 (*.f64 2 beta)) (/.f64 1 (neg.f64 alpha)))
(/.f64 (fma.f64 -2 beta -2) alpha)
(*.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 1)
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2 (*.f64 2 beta))) 2) (*.f64 (cbrt.f64 (+.f64 2 (*.f64 2 beta))) (/.f64 1 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (cbrt.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) 2))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) 2) (cbrt.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (sqrt.f64 (+.f64 2 (*.f64 2 beta))) (*.f64 (sqrt.f64 (+.f64 2 (*.f64 2 beta))) (/.f64 1 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (sqrt.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (sqrt.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (/.f64 1 alpha) (+.f64 2 (*.f64 2 beta)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(/.f64 (fma.f64 -2 beta -2) alpha)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (+.f64 2 (*.f64 2 beta)) (cbrt.f64 alpha)))
(/.f64 (/.f64 (fma.f64 2 beta 2) (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2))
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 2 (*.f64 2 beta)) (sqrt.f64 alpha)))
(/.f64 (*.f64 (/.f64 1 (sqrt.f64 alpha)) (+.f64 2 (*.f64 2 beta))) (sqrt.f64 alpha))
(/.f64 (/.f64 (fma.f64 2 beta 2) (sqrt.f64 alpha)) (sqrt.f64 alpha))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (*.f64 2 beta))) 2) 1) (/.f64 (cbrt.f64 (+.f64 2 (*.f64 2 beta))) alpha))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (*.f64 2 beta))) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (*.f64 2 beta))) 2) (pow.f64 (cbrt.f64 alpha) 2)))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (pow.f64 (cbrt.f64 alpha) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (*.f64 2 beta))) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (+.f64 2 (*.f64 2 beta))) (sqrt.f64 alpha)))
(/.f64 (*.f64 (/.f64 1 (sqrt.f64 alpha)) (+.f64 2 (*.f64 2 beta))) (sqrt.f64 alpha))
(/.f64 (/.f64 (fma.f64 2 beta 2) (sqrt.f64 alpha)) (sqrt.f64 alpha))
(*.f64 (/.f64 (sqrt.f64 (+.f64 2 (*.f64 2 beta))) 1) (/.f64 (sqrt.f64 (+.f64 2 (*.f64 2 beta))) alpha))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (/.f64 (sqrt.f64 (+.f64 2 (*.f64 2 beta))) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (+.f64 2 (*.f64 2 beta))) (cbrt.f64 alpha)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (+.f64 2 (*.f64 2 beta)) (cbrt.f64 alpha)))
(/.f64 (/.f64 (fma.f64 2 beta 2) (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2))
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (+.f64 2 (*.f64 2 beta)) (cbrt.f64 alpha)))
(*.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) (cbrt.f64 alpha)) (/.f64 -1 (pow.f64 (cbrt.f64 alpha) 2)))
(/.f64 (/.f64 (fma.f64 -2 beta -2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 alpha))
(*.f64 (/.f64 -1 (sqrt.f64 alpha)) (/.f64 (+.f64 2 (*.f64 2 beta)) (sqrt.f64 alpha)))
(/.f64 (*.f64 (/.f64 -1 (sqrt.f64 alpha)) (+.f64 2 (*.f64 2 beta))) (sqrt.f64 alpha))
(/.f64 (/.f64 (fma.f64 -2 beta -2) (sqrt.f64 alpha)) (sqrt.f64 alpha))
(pow.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 1)
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) 3)
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(pow.f64 (pow.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 3) 1/3)
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) 2)
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(pow.f64 (/.f64 alpha (+.f64 2 (*.f64 2 beta))) -1)
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(neg.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(/.f64 (fma.f64 -2 beta -2) alpha)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(log.f64 (exp.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(cbrt.f64 (pow.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 3))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(cbrt.f64 (/.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 3) (pow.f64 alpha 3)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(expm1.f64 (log1p.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 2 beta 2) alpha)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(exp.f64 (log.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) 1))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)

eval125.0ms (2.2%)

Compiler

Compiled 5831 to 4475 computations (23.3% saved)

prune75.0ms (1.3%)

Pruning

16 alts after pruning (7 fresh and 9 done)

PrunedKeptTotal
New3363339
Fresh145
Picked055
Done044
Total33716353
Accuracy
100.0%
Counts
353 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
30.8%
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
9.1%
(/.f64 (/.f64 (*.f64 beta 2) alpha) 2)
30.8%
(/.f64 (/.f64 (neg.f64 (-.f64 (-.f64 -2 beta) beta)) alpha) 2)
25.4%
(/.f64 (/.f64 2 alpha) 2)
47.1%
(/.f64 (-.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))) 2)
24.2%
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (pow.f64 alpha 2))) 2)
31.8%
(/.f64 (-.f64 2 (/.f64 alpha beta)) 2)
49.6%
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
46.6%
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
73.2%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
70.2%
(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
43.8%
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
29.2%
(/.f64 (+.f64 2 (neg.f64 (/.f64 2 beta))) 2)
31.8%
(/.f64 (+.f64 2 (neg.f64 (*.f64 2 (/.f64 alpha beta)))) 2)
36.4%
(/.f64 2 2)
47.2%
(/.f64 1 2)
Compiler

Compiled 287 to 226 computations (21.3% saved)

localize123.0ms (2.2%)

Localize:

Found 2 expressions with local error:

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

Compiled 99 to 68 computations (31.3% saved)

series9.0ms (0.2%)

Counts
2 → 24
Calls

12 calls:

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

rewrite103.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
1292×unpow-prod-down
750×log-prod
695×log1p-expm1-u
695×expm1-log1p-u
482×prod-diff
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01344
115740
2221040
Stop Event
node limit
Counts
2 → 128
Calls
Call 1
Inputs
(*.f64 2 (/.f64 alpha beta))
(+.f64 2 (neg.f64 (*.f64 2 (/.f64 alpha beta))))
Outputs
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(+.f64 0 (/.f64 2 (/.f64 beta alpha)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 alpha beta)) 2)) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 alpha beta)) 2)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 alpha beta)) 2))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 alpha beta)) 2))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 alpha beta)) 2))))
(-.f64 0 (/.f64 2 (/.f64 beta alpha)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 (/.f64 beta alpha)))) 1)
(/.f64 2 (/.f64 beta alpha))
(/.f64 1 (/.f64 beta (*.f64 2 alpha)))
(/.f64 -2 (/.f64 beta alpha))
(/.f64 (*.f64 2 alpha) beta)
(/.f64 (neg.f64 (*.f64 2 alpha)) beta)
(/.f64 (neg.f64 (*.f64 2 alpha)) (neg.f64 beta))
(/.f64 (-.f64 0 (*.f64 (pow.f64 (/.f64 alpha beta) 3) 8)) (+.f64 0 (fma.f64 (pow.f64 (/.f64 alpha beta) 2) 4 (*.f64 0 (/.f64 2 (/.f64 beta alpha))))))
(/.f64 (-.f64 0 (*.f64 (pow.f64 (/.f64 alpha beta) 2) 4)) (/.f64 2 (/.f64 beta alpha)))
(/.f64 (*.f64 -2 alpha) beta)
(/.f64 (*.f64 -1 (*.f64 2 alpha)) beta)
(/.f64 (*.f64 -2 (neg.f64 alpha)) (neg.f64 beta))
(/.f64 (*.f64 2 (neg.f64 alpha)) (neg.f64 beta))
(/.f64 (*.f64 (neg.f64 alpha) 2) (neg.f64 beta))
(/.f64 (/.f64 (*.f64 2 alpha) 1) beta)
(/.f64 (/.f64 (*.f64 2 alpha) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 beta))
(/.f64 (/.f64 (*.f64 2 alpha) (sqrt.f64 beta)) (sqrt.f64 beta))
(pow.f64 (/.f64 2 (/.f64 beta alpha)) 1)
(pow.f64 (cbrt.f64 (/.f64 2 (/.f64 beta alpha))) 3)
(pow.f64 (*.f64 (pow.f64 (/.f64 alpha beta) 2) 4) 1/2)
(pow.f64 (*.f64 (pow.f64 (/.f64 alpha beta) 3) 8) 1/3)
(pow.f64 (sqrt.f64 (/.f64 2 (/.f64 beta alpha))) 2)
(pow.f64 (/.f64 beta (*.f64 2 alpha)) -1)
(neg.f64 (/.f64 2 (/.f64 beta alpha)))
(sqrt.f64 (*.f64 (pow.f64 (/.f64 alpha beta) 2) 4))
(log.f64 (pow.f64 (exp.f64 (/.f64 alpha beta)) 2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (/.f64 beta alpha)))))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (/.f64 2 (/.f64 beta alpha))))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 alpha beta) 3) 8))
(expm1.f64 (log1p.f64 (/.f64 2 (/.f64 beta alpha))))
(log1p.f64 (expm1.f64 (/.f64 2 (/.f64 beta alpha))))
(exp.f64 (log.f64 (/.f64 2 (/.f64 beta alpha))))
(exp.f64 (*.f64 (log.f64 (/.f64 2 (/.f64 beta alpha))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 2 (/.f64 beta alpha))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 2 (/.f64 beta alpha)))) 3))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 2 (/.f64 beta alpha))) 3) 1/3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 2 (/.f64 beta alpha)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 2 (/.f64 beta alpha)))) 2))
(-.f64 2 (/.f64 2 (/.f64 beta alpha)))
(-.f64 0 (fma.f64 2 (/.f64 alpha beta) -2))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 2 (/.f64 alpha beta) 2))) 1)
(-.f64 (/.f64 4 (fma.f64 2 (/.f64 alpha beta) 2)) (/.f64 (*.f64 (pow.f64 (/.f64 alpha beta) 2) 4) (fma.f64 2 (/.f64 alpha beta) 2)))
(-.f64 (log.f64 (exp.f64 2)) (/.f64 2 (/.f64 beta alpha)))
(*.f64 (fma.f64 2 (/.f64 alpha beta) 2) 1)
(*.f64 (fma.f64 2 (/.f64 alpha beta) 2) (log.f64 (exp.f64 1)))
(*.f64 1 (fma.f64 2 (/.f64 alpha beta) 2))
(*.f64 (cbrt.f64 (fma.f64 2 (/.f64 alpha beta) 2)) (pow.f64 (cbrt.f64 (fma.f64 2 (/.f64 alpha beta) 2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (/.f64 alpha beta) 2)) 2) (cbrt.f64 (fma.f64 2 (/.f64 alpha beta) 2)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (/.f64 alpha beta) 2)) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 2 (/.f64 alpha beta) 2))) 2))
(*.f64 (sqrt.f64 (fma.f64 2 (/.f64 alpha beta) 2)) (sqrt.f64 (fma.f64 2 (/.f64 alpha beta) 2)))
(*.f64 (fma.f64 -8 (pow.f64 (/.f64 alpha beta) 3) 8) (/.f64 1 (fma.f64 (/.f64 2 (/.f64 beta alpha)) (fma.f64 2 (/.f64 alpha beta) -2) 4)))
(*.f64 (fma.f64 -8 (pow.f64 (/.f64 alpha beta) 3) 8) (pow.f64 (/.f64 1 (fma.f64 (/.f64 2 (/.f64 beta alpha)) (fma.f64 2 (/.f64 alpha beta) -2) 4)) 1))
(*.f64 (+.f64 4 (*.f64 (pow.f64 (/.f64 alpha beta) 2) 4)) (/.f64 1 (fma.f64 2 (/.f64 alpha beta) 2)))
(*.f64 (+.f64 4 (*.f64 (pow.f64 (/.f64 alpha beta) 2) 4)) (pow.f64 (/.f64 1 (fma.f64 2 (/.f64 alpha beta) 2)) 1))
(*.f64 (pow.f64 1 1/3) (fma.f64 2 (/.f64 alpha beta) 2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (/.f64 alpha beta) 2)) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 2 (/.f64 alpha beta) 2))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 2 (/.f64 alpha beta) 2))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 2 (/.f64 alpha beta) 2))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 2 (/.f64 alpha beta) 2))) (cbrt.f64 (cbrt.f64 (fma.f64 2 (/.f64 alpha beta) 2)))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 2 (/.f64 alpha beta) 2))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 2 (/.f64 alpha beta) 2))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 2 (/.f64 alpha beta) 2))) 3))
(*.f64 (pow.f64 (pow.f64 (fma.f64 2 (/.f64 alpha beta) 2) 3/2) 1/3) (pow.f64 (pow.f64 (fma.f64 2 (/.f64 alpha beta) 2) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 2 (/.f64 alpha beta) 2) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 2 (/.f64 alpha beta) 2) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 2 (/.f64 alpha beta) 2) (cbrt.f64 (fma.f64 2 (/.f64 alpha beta) 2))) 2) 1/3) (pow.f64 (cbrt.f64 (fma.f64 2 (/.f64 alpha beta) 2)) 1/3))
(*.f64 (pow.f64 (pow.f64 (fma.f64 2 (/.f64 alpha beta) 2) 5/2) 1/3) (pow.f64 (sqrt.f64 (fma.f64 2 (/.f64 alpha beta) 2)) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (/.f64 alpha beta) 2)) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 2 (/.f64 alpha beta) 2))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 2 (/.f64 alpha beta) 2))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 2 (/.f64 alpha beta) 2))) 2))
(/.f64 1 (/.f64 (fma.f64 (/.f64 2 (/.f64 beta alpha)) (fma.f64 2 (/.f64 alpha beta) -2) 4) (fma.f64 -8 (pow.f64 (/.f64 alpha beta) 3) 8)))
(/.f64 1 (/.f64 (fma.f64 2 (/.f64 alpha beta) 2) (+.f64 4 (*.f64 (pow.f64 (/.f64 alpha beta) 2) 4))))
(/.f64 (fma.f64 -8 (pow.f64 (/.f64 alpha beta) 3) 8) (fma.f64 (/.f64 2 (/.f64 beta alpha)) (fma.f64 2 (/.f64 alpha beta) -2) 4))
(/.f64 (fma.f64 -8 (pow.f64 (/.f64 alpha beta) 3) 8) (fma.f64 (pow.f64 (/.f64 alpha beta) 2) 4 (-.f64 4 (*.f64 -4 (/.f64 alpha beta)))))
(/.f64 (+.f64 4 (*.f64 (pow.f64 (/.f64 alpha beta) 2) 4)) (fma.f64 2 (/.f64 alpha beta) 2))
(/.f64 (neg.f64 (fma.f64 -8 (pow.f64 (/.f64 alpha beta) 3) 8)) (neg.f64 (fma.f64 (/.f64 2 (/.f64 beta alpha)) (fma.f64 2 (/.f64 alpha beta) -2) 4)))
(/.f64 (neg.f64 (+.f64 4 (*.f64 (pow.f64 (/.f64 alpha beta) 2) 4))) (neg.f64 (fma.f64 2 (/.f64 alpha beta) 2)))
(/.f64 (-.f64 8 (*.f64 (pow.f64 (/.f64 alpha beta) 3) 8)) (fma.f64 (/.f64 2 (/.f64 beta alpha)) (fma.f64 2 (/.f64 alpha beta) -2) 4))
(/.f64 (fma.f64 (pow.f64 (/.f64 alpha beta) 2) 4 -4) (fma.f64 2 (/.f64 alpha beta) -2))
(pow.f64 (fma.f64 2 (/.f64 alpha beta) 2) 1)
(pow.f64 (cbrt.f64 (fma.f64 2 (/.f64 alpha beta) 2)) 3)
(pow.f64 (pow.f64 (fma.f64 2 (/.f64 alpha beta) 2) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 2 (/.f64 alpha beta) 2) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 2 (/.f64 alpha beta) 2)) 2)
(pow.f64 (/.f64 (fma.f64 (/.f64 2 (/.f64 beta alpha)) (fma.f64 2 (/.f64 alpha beta) -2) 4) (fma.f64 -8 (pow.f64 (/.f64 alpha beta) 3) 8)) -1)
(pow.f64 (/.f64 (fma.f64 2 (/.f64 alpha beta) 2) (+.f64 4 (*.f64 (pow.f64 (/.f64 alpha beta) 2) 4))) -1)
(sqrt.f64 (pow.f64 (fma.f64 2 (/.f64 alpha beta) 2) 2))
(log.f64 (exp.f64 (fma.f64 2 (/.f64 alpha beta) 2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 2 (/.f64 alpha beta) 2))))
(cbrt.f64 (pow.f64 (fma.f64 2 (/.f64 alpha beta) 2) 3))
(expm1.f64 (log1p.f64 (fma.f64 2 (/.f64 alpha beta) 2)))
(log1p.f64 (expm1.f64 (fma.f64 2 (/.f64 alpha beta) 2)))
(exp.f64 (log.f64 (fma.f64 2 (/.f64 alpha beta) 2)))
(exp.f64 (*.f64 (log.f64 (fma.f64 2 (/.f64 alpha beta) 2)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 2 (/.f64 alpha beta) 2)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 2 (/.f64 alpha beta) 2))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 2 (/.f64 alpha beta) 2))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 2 (/.f64 alpha beta) 2))) 2))
(fma.f64 2 (/.f64 alpha beta) 2)
(fma.f64 2 (/.f64 (neg.f64 alpha) beta) 2)
(fma.f64 alpha (*.f64 (/.f64 1 beta) 2) 2)
(fma.f64 (/.f64 alpha beta) 2 2)
(fma.f64 (/.f64 alpha beta) -2 2)
(fma.f64 (/.f64 2 (/.f64 beta alpha)) 1 2)
(fma.f64 (/.f64 2 (/.f64 beta alpha)) -1 2)
(fma.f64 1 (/.f64 2 (/.f64 beta alpha)) 2)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 (/.f64 beta alpha))) 2) (cbrt.f64 (/.f64 2 (/.f64 beta alpha))) 2)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 (/.f64 beta alpha))) 2) (neg.f64 (cbrt.f64 (/.f64 2 (/.f64 beta alpha)))) 2)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 alpha beta)) 2) (*.f64 (cbrt.f64 (/.f64 alpha beta)) 2) 2)
(fma.f64 (cbrt.f64 (/.f64 2 (/.f64 beta alpha))) (pow.f64 (cbrt.f64 (/.f64 2 (/.f64 beta alpha))) 2) 2)
(fma.f64 (sqrt.f64 (/.f64 2 (/.f64 beta alpha))) (sqrt.f64 (/.f64 2 (/.f64 beta alpha))) 2)
(fma.f64 (sqrt.f64 (/.f64 2 (/.f64 beta alpha))) (neg.f64 (sqrt.f64 (/.f64 2 (/.f64 beta alpha)))) 2)
(fma.f64 (sqrt.f64 (/.f64 alpha beta)) (*.f64 (sqrt.f64 (/.f64 alpha beta)) 2) 2)
(fma.f64 -1 (/.f64 2 (/.f64 beta alpha)) 2)
(fma.f64 -2 (/.f64 alpha beta) 2)
(fma.f64 (/.f64 (neg.f64 alpha) beta) 2 2)
(fma.f64 (*.f64 2 alpha) (/.f64 1 beta) 2)
(fma.f64 (/.f64 2 (pow.f64 (cbrt.f64 beta) 2)) (/.f64 alpha (cbrt.f64 beta)) 2)
(fma.f64 (/.f64 2 (sqrt.f64 beta)) (/.f64 alpha (sqrt.f64 beta)) 2)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 2 (/.f64 beta alpha))) 2)) (cbrt.f64 (/.f64 2 (/.f64 beta alpha))) 2)
(fma.f64 (neg.f64 (sqrt.f64 (/.f64 2 (/.f64 beta alpha)))) (sqrt.f64 (/.f64 2 (/.f64 beta alpha))) 2)
(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (/.f64 2 (/.f64 beta alpha))) 2)) (cbrt.f64 (/.f64 2 (/.f64 beta alpha))) 2)
(fma.f64 (*.f64 -1 (sqrt.f64 (/.f64 2 (/.f64 beta alpha)))) (sqrt.f64 (/.f64 2 (/.f64 beta alpha))) 2)
(fma.f64 (*.f64 -2 alpha) (/.f64 1 beta) 2)
(fma.f64 (*.f64 -2 (pow.f64 (cbrt.f64 (/.f64 alpha beta)) 2)) (cbrt.f64 (/.f64 alpha beta)) 2)
(fma.f64 (*.f64 -2 (sqrt.f64 (/.f64 alpha beta))) (sqrt.f64 (/.f64 alpha beta)) 2)
(fma.f64 (*.f64 2 (pow.f64 (cbrt.f64 (/.f64 alpha beta)) 2)) (cbrt.f64 (/.f64 alpha beta)) 2)
(fma.f64 (*.f64 2 (sqrt.f64 (/.f64 alpha beta))) (sqrt.f64 (/.f64 alpha beta)) 2)

simplify76.0ms (1.3%)

Algorithm
egg-herbie
Rules
636×associate-*r/
612×*-commutative
590×fma-define
440×associate-*l/
432×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03004700
17154542
222144126
Stop Event
node limit
Counts
152 → 159
Calls
Call 1
Inputs
2
(+.f64 2 (*.f64 -2 (/.f64 alpha beta)))
(+.f64 2 (*.f64 -2 (/.f64 alpha beta)))
(+.f64 2 (*.f64 -2 (/.f64 alpha beta)))
(*.f64 -2 (/.f64 alpha beta))
(+.f64 2 (*.f64 -2 (/.f64 alpha beta)))
(+.f64 2 (*.f64 -2 (/.f64 alpha beta)))
(+.f64 2 (*.f64 -2 (/.f64 alpha beta)))
(*.f64 -2 (/.f64 alpha beta))
(+.f64 2 (*.f64 -2 (/.f64 alpha beta)))
(+.f64 2 (*.f64 -2 (/.f64 alpha beta)))
(+.f64 2 (*.f64 -2 (/.f64 alpha beta)))
(*.f64 -2 (/.f64 alpha beta))
(+.f64 2 (*.f64 -2 (/.f64 alpha beta)))
(+.f64 2 (*.f64 -2 (/.f64 alpha beta)))
(+.f64 2 (*.f64 -2 (/.f64 alpha beta)))
2
(+.f64 2 (*.f64 -2 (/.f64 alpha beta)))
(+.f64 2 (*.f64 -2 (/.f64 alpha beta)))
(+.f64 2 (*.f64 -2 (/.f64 alpha beta)))
2
(+.f64 2 (*.f64 -2 (/.f64 alpha beta)))
(+.f64 2 (*.f64 -2 (/.f64 alpha beta)))
(+.f64 2 (*.f64 -2 (/.f64 alpha beta)))
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(+.f64 0 (/.f64 2 (/.f64 beta alpha)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 alpha beta)) 2)) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 alpha beta)) 2)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 alpha beta)) 2))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 alpha beta)) 2))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 alpha beta)) 2))))
(-.f64 0 (/.f64 2 (/.f64 beta alpha)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 (/.f64 beta alpha)))) 1)
(/.f64 2 (/.f64 beta alpha))
(/.f64 1 (/.f64 beta (*.f64 2 alpha)))
(/.f64 -2 (/.f64 beta alpha))
(/.f64 (*.f64 2 alpha) beta)
(/.f64 (neg.f64 (*.f64 2 alpha)) beta)
(/.f64 (neg.f64 (*.f64 2 alpha)) (neg.f64 beta))
(/.f64 (-.f64 0 (*.f64 (pow.f64 (/.f64 alpha beta) 3) 8)) (+.f64 0 (fma.f64 (pow.f64 (/.f64 alpha beta) 2) 4 (*.f64 0 (/.f64 2 (/.f64 beta alpha))))))
(/.f64 (-.f64 0 (*.f64 (pow.f64 (/.f64 alpha beta) 2) 4)) (/.f64 2 (/.f64 beta alpha)))
(/.f64 (*.f64 -2 alpha) beta)
(/.f64 (*.f64 -1 (*.f64 2 alpha)) beta)
(/.f64 (*.f64 -2 (neg.f64 alpha)) (neg.f64 beta))
(/.f64 (*.f64 2 (neg.f64 alpha)) (neg.f64 beta))
(/.f64 (*.f64 (neg.f64 alpha) 2) (neg.f64 beta))
(/.f64 (/.f64 (*.f64 2 alpha) 1) beta)
(/.f64 (/.f64 (*.f64 2 alpha) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 beta))
(/.f64 (/.f64 (*.f64 2 alpha) (sqrt.f64 beta)) (sqrt.f64 beta))
(pow.f64 (/.f64 2 (/.f64 beta alpha)) 1)
(pow.f64 (cbrt.f64 (/.f64 2 (/.f64 beta alpha))) 3)
(pow.f64 (*.f64 (pow.f64 (/.f64 alpha beta) 2) 4) 1/2)
(pow.f64 (*.f64 (pow.f64 (/.f64 alpha beta) 3) 8) 1/3)
(pow.f64 (sqrt.f64 (/.f64 2 (/.f64 beta alpha))) 2)
(pow.f64 (/.f64 beta (*.f64 2 alpha)) -1)
(neg.f64 (/.f64 2 (/.f64 beta alpha)))
(sqrt.f64 (*.f64 (pow.f64 (/.f64 alpha beta) 2) 4))
(log.f64 (pow.f64 (exp.f64 (/.f64 alpha beta)) 2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (/.f64 beta alpha)))))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (/.f64 2 (/.f64 beta alpha))))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 alpha beta) 3) 8))
(expm1.f64 (log1p.f64 (/.f64 2 (/.f64 beta alpha))))
(log1p.f64 (expm1.f64 (/.f64 2 (/.f64 beta alpha))))
(exp.f64 (log.f64 (/.f64 2 (/.f64 beta alpha))))
(exp.f64 (*.f64 (log.f64 (/.f64 2 (/.f64 beta alpha))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 2 (/.f64 beta alpha))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 2 (/.f64 beta alpha)))) 3))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 2 (/.f64 beta alpha))) 3) 1/3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 2 (/.f64 beta alpha)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 2 (/.f64 beta alpha)))) 2))
(-.f64 2 (/.f64 2 (/.f64 beta alpha)))
(-.f64 0 (fma.f64 2 (/.f64 alpha beta) -2))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 2 (/.f64 alpha beta) 2))) 1)
(-.f64 (/.f64 4 (fma.f64 2 (/.f64 alpha beta) 2)) (/.f64 (*.f64 (pow.f64 (/.f64 alpha beta) 2) 4) (fma.f64 2 (/.f64 alpha beta) 2)))
(-.f64 (log.f64 (exp.f64 2)) (/.f64 2 (/.f64 beta alpha)))
(*.f64 (fma.f64 2 (/.f64 alpha beta) 2) 1)
(*.f64 (fma.f64 2 (/.f64 alpha beta) 2) (log.f64 (exp.f64 1)))
(*.f64 1 (fma.f64 2 (/.f64 alpha beta) 2))
(*.f64 (cbrt.f64 (fma.f64 2 (/.f64 alpha beta) 2)) (pow.f64 (cbrt.f64 (fma.f64 2 (/.f64 alpha beta) 2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (/.f64 alpha beta) 2)) 2) (cbrt.f64 (fma.f64 2 (/.f64 alpha beta) 2)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (/.f64 alpha beta) 2)) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 2 (/.f64 alpha beta) 2))) 2))
(*.f64 (sqrt.f64 (fma.f64 2 (/.f64 alpha beta) 2)) (sqrt.f64 (fma.f64 2 (/.f64 alpha beta) 2)))
(*.f64 (fma.f64 -8 (pow.f64 (/.f64 alpha beta) 3) 8) (/.f64 1 (fma.f64 (/.f64 2 (/.f64 beta alpha)) (fma.f64 2 (/.f64 alpha beta) -2) 4)))
(*.f64 (fma.f64 -8 (pow.f64 (/.f64 alpha beta) 3) 8) (pow.f64 (/.f64 1 (fma.f64 (/.f64 2 (/.f64 beta alpha)) (fma.f64 2 (/.f64 alpha beta) -2) 4)) 1))
(*.f64 (+.f64 4 (*.f64 (pow.f64 (/.f64 alpha beta) 2) 4)) (/.f64 1 (fma.f64 2 (/.f64 alpha beta) 2)))
(*.f64 (+.f64 4 (*.f64 (pow.f64 (/.f64 alpha beta) 2) 4)) (pow.f64 (/.f64 1 (fma.f64 2 (/.f64 alpha beta) 2)) 1))
(*.f64 (pow.f64 1 1/3) (fma.f64 2 (/.f64 alpha beta) 2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (/.f64 alpha beta) 2)) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 2 (/.f64 alpha beta) 2))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 2 (/.f64 alpha beta) 2))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 2 (/.f64 alpha beta) 2))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 2 (/.f64 alpha beta) 2))) (cbrt.f64 (cbrt.f64 (fma.f64 2 (/.f64 alpha beta) 2)))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 2 (/.f64 alpha beta) 2))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 2 (/.f64 alpha beta) 2))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 2 (/.f64 alpha beta) 2))) 3))
(*.f64 (pow.f64 (pow.f64 (fma.f64 2 (/.f64 alpha beta) 2) 3/2) 1/3) (pow.f64 (pow.f64 (fma.f64 2 (/.f64 alpha beta) 2) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 2 (/.f64 alpha beta) 2) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 2 (/.f64 alpha beta) 2) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 2 (/.f64 alpha beta) 2) (cbrt.f64 (fma.f64 2 (/.f64 alpha beta) 2))) 2) 1/3) (pow.f64 (cbrt.f64 (fma.f64 2 (/.f64 alpha beta) 2)) 1/3))
(*.f64 (pow.f64 (pow.f64 (fma.f64 2 (/.f64 alpha beta) 2) 5/2) 1/3) (pow.f64 (sqrt.f64 (fma.f64 2 (/.f64 alpha beta) 2)) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (/.f64 alpha beta) 2)) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 2 (/.f64 alpha beta) 2))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 2 (/.f64 alpha beta) 2))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 2 (/.f64 alpha beta) 2))) 2))
(/.f64 1 (/.f64 (fma.f64 (/.f64 2 (/.f64 beta alpha)) (fma.f64 2 (/.f64 alpha beta) -2) 4) (fma.f64 -8 (pow.f64 (/.f64 alpha beta) 3) 8)))
(/.f64 1 (/.f64 (fma.f64 2 (/.f64 alpha beta) 2) (+.f64 4 (*.f64 (pow.f64 (/.f64 alpha beta) 2) 4))))
(/.f64 (fma.f64 -8 (pow.f64 (/.f64 alpha beta) 3) 8) (fma.f64 (/.f64 2 (/.f64 beta alpha)) (fma.f64 2 (/.f64 alpha beta) -2) 4))
(/.f64 (fma.f64 -8 (pow.f64 (/.f64 alpha beta) 3) 8) (fma.f64 (pow.f64 (/.f64 alpha beta) 2) 4 (-.f64 4 (*.f64 -4 (/.f64 alpha beta)))))
(/.f64 (+.f64 4 (*.f64 (pow.f64 (/.f64 alpha beta) 2) 4)) (fma.f64 2 (/.f64 alpha beta) 2))
(/.f64 (neg.f64 (fma.f64 -8 (pow.f64 (/.f64 alpha beta) 3) 8)) (neg.f64 (fma.f64 (/.f64 2 (/.f64 beta alpha)) (fma.f64 2 (/.f64 alpha beta) -2) 4)))
(/.f64 (neg.f64 (+.f64 4 (*.f64 (pow.f64 (/.f64 alpha beta) 2) 4))) (neg.f64 (fma.f64 2 (/.f64 alpha beta) 2)))
(/.f64 (-.f64 8 (*.f64 (pow.f64 (/.f64 alpha beta) 3) 8)) (fma.f64 (/.f64 2 (/.f64 beta alpha)) (fma.f64 2 (/.f64 alpha beta) -2) 4))
(/.f64 (fma.f64 (pow.f64 (/.f64 alpha beta) 2) 4 -4) (fma.f64 2 (/.f64 alpha beta) -2))
(pow.f64 (fma.f64 2 (/.f64 alpha beta) 2) 1)
(pow.f64 (cbrt.f64 (fma.f64 2 (/.f64 alpha beta) 2)) 3)
(pow.f64 (pow.f64 (fma.f64 2 (/.f64 alpha beta) 2) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 2 (/.f64 alpha beta) 2) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 2 (/.f64 alpha beta) 2)) 2)
(pow.f64 (/.f64 (fma.f64 (/.f64 2 (/.f64 beta alpha)) (fma.f64 2 (/.f64 alpha beta) -2) 4) (fma.f64 -8 (pow.f64 (/.f64 alpha beta) 3) 8)) -1)
(pow.f64 (/.f64 (fma.f64 2 (/.f64 alpha beta) 2) (+.f64 4 (*.f64 (pow.f64 (/.f64 alpha beta) 2) 4))) -1)
(sqrt.f64 (pow.f64 (fma.f64 2 (/.f64 alpha beta) 2) 2))
(log.f64 (exp.f64 (fma.f64 2 (/.f64 alpha beta) 2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 2 (/.f64 alpha beta) 2))))
(cbrt.f64 (pow.f64 (fma.f64 2 (/.f64 alpha beta) 2) 3))
(expm1.f64 (log1p.f64 (fma.f64 2 (/.f64 alpha beta) 2)))
(log1p.f64 (expm1.f64 (fma.f64 2 (/.f64 alpha beta) 2)))
(exp.f64 (log.f64 (fma.f64 2 (/.f64 alpha beta) 2)))
(exp.f64 (*.f64 (log.f64 (fma.f64 2 (/.f64 alpha beta) 2)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 2 (/.f64 alpha beta) 2)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 2 (/.f64 alpha beta) 2))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 2 (/.f64 alpha beta) 2))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 2 (/.f64 alpha beta) 2))) 2))
(fma.f64 2 (/.f64 alpha beta) 2)
(fma.f64 2 (/.f64 (neg.f64 alpha) beta) 2)
(fma.f64 alpha (*.f64 (/.f64 1 beta) 2) 2)
(fma.f64 (/.f64 alpha beta) 2 2)
(fma.f64 (/.f64 alpha beta) -2 2)
(fma.f64 (/.f64 2 (/.f64 beta alpha)) 1 2)
(fma.f64 (/.f64 2 (/.f64 beta alpha)) -1 2)
(fma.f64 1 (/.f64 2 (/.f64 beta alpha)) 2)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 (/.f64 beta alpha))) 2) (cbrt.f64 (/.f64 2 (/.f64 beta alpha))) 2)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 (/.f64 beta alpha))) 2) (neg.f64 (cbrt.f64 (/.f64 2 (/.f64 beta alpha)))) 2)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 alpha beta)) 2) (*.f64 (cbrt.f64 (/.f64 alpha beta)) 2) 2)
(fma.f64 (cbrt.f64 (/.f64 2 (/.f64 beta alpha))) (pow.f64 (cbrt.f64 (/.f64 2 (/.f64 beta alpha))) 2) 2)
(fma.f64 (sqrt.f64 (/.f64 2 (/.f64 beta alpha))) (sqrt.f64 (/.f64 2 (/.f64 beta alpha))) 2)
(fma.f64 (sqrt.f64 (/.f64 2 (/.f64 beta alpha))) (neg.f64 (sqrt.f64 (/.f64 2 (/.f64 beta alpha)))) 2)
(fma.f64 (sqrt.f64 (/.f64 alpha beta)) (*.f64 (sqrt.f64 (/.f64 alpha beta)) 2) 2)
(fma.f64 -1 (/.f64 2 (/.f64 beta alpha)) 2)
(fma.f64 -2 (/.f64 alpha beta) 2)
(fma.f64 (/.f64 (neg.f64 alpha) beta) 2 2)
(fma.f64 (*.f64 2 alpha) (/.f64 1 beta) 2)
(fma.f64 (/.f64 2 (pow.f64 (cbrt.f64 beta) 2)) (/.f64 alpha (cbrt.f64 beta)) 2)
(fma.f64 (/.f64 2 (sqrt.f64 beta)) (/.f64 alpha (sqrt.f64 beta)) 2)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 2 (/.f64 beta alpha))) 2)) (cbrt.f64 (/.f64 2 (/.f64 beta alpha))) 2)
(fma.f64 (neg.f64 (sqrt.f64 (/.f64 2 (/.f64 beta alpha)))) (sqrt.f64 (/.f64 2 (/.f64 beta alpha))) 2)
(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (/.f64 2 (/.f64 beta alpha))) 2)) (cbrt.f64 (/.f64 2 (/.f64 beta alpha))) 2)
(fma.f64 (*.f64 -1 (sqrt.f64 (/.f64 2 (/.f64 beta alpha)))) (sqrt.f64 (/.f64 2 (/.f64 beta alpha))) 2)
(fma.f64 (*.f64 -2 alpha) (/.f64 1 beta) 2)
(fma.f64 (*.f64 -2 (pow.f64 (cbrt.f64 (/.f64 alpha beta)) 2)) (cbrt.f64 (/.f64 alpha beta)) 2)
(fma.f64 (*.f64 -2 (sqrt.f64 (/.f64 alpha beta))) (sqrt.f64 (/.f64 alpha beta)) 2)
(fma.f64 (*.f64 2 (pow.f64 (cbrt.f64 (/.f64 alpha beta)) 2)) (cbrt.f64 (/.f64 alpha beta)) 2)
(fma.f64 (*.f64 2 (sqrt.f64 (/.f64 alpha beta))) (sqrt.f64 (/.f64 alpha beta)) 2)
Outputs
2
(+.f64 2 (*.f64 -2 (/.f64 alpha beta)))
(fma.f64 -2 (/.f64 alpha beta) 2)
(fma.f64 (/.f64 -2 beta) alpha 2)
(+.f64 2 (*.f64 -2 (/.f64 alpha beta)))
(fma.f64 -2 (/.f64 alpha beta) 2)
(fma.f64 (/.f64 -2 beta) alpha 2)
(+.f64 2 (*.f64 -2 (/.f64 alpha beta)))
(fma.f64 -2 (/.f64 alpha beta) 2)
(fma.f64 (/.f64 -2 beta) alpha 2)
(*.f64 -2 (/.f64 alpha beta))
(/.f64 alpha (/.f64 beta -2))
(+.f64 2 (*.f64 -2 (/.f64 alpha beta)))
(fma.f64 -2 (/.f64 alpha beta) 2)
(fma.f64 (/.f64 -2 beta) alpha 2)
(+.f64 2 (*.f64 -2 (/.f64 alpha beta)))
(fma.f64 -2 (/.f64 alpha beta) 2)
(fma.f64 (/.f64 -2 beta) alpha 2)
(+.f64 2 (*.f64 -2 (/.f64 alpha beta)))
(fma.f64 -2 (/.f64 alpha beta) 2)
(fma.f64 (/.f64 -2 beta) alpha 2)
(*.f64 -2 (/.f64 alpha beta))
(/.f64 alpha (/.f64 beta -2))
(+.f64 2 (*.f64 -2 (/.f64 alpha beta)))
(fma.f64 -2 (/.f64 alpha beta) 2)
(fma.f64 (/.f64 -2 beta) alpha 2)
(+.f64 2 (*.f64 -2 (/.f64 alpha beta)))
(fma.f64 -2 (/.f64 alpha beta) 2)
(fma.f64 (/.f64 -2 beta) alpha 2)
(+.f64 2 (*.f64 -2 (/.f64 alpha beta)))
(fma.f64 -2 (/.f64 alpha beta) 2)
(fma.f64 (/.f64 -2 beta) alpha 2)
(*.f64 -2 (/.f64 alpha beta))
(/.f64 alpha (/.f64 beta -2))
(+.f64 2 (*.f64 -2 (/.f64 alpha beta)))
(fma.f64 -2 (/.f64 alpha beta) 2)
(fma.f64 (/.f64 -2 beta) alpha 2)
(+.f64 2 (*.f64 -2 (/.f64 alpha beta)))
(fma.f64 -2 (/.f64 alpha beta) 2)
(fma.f64 (/.f64 -2 beta) alpha 2)
(+.f64 2 (*.f64 -2 (/.f64 alpha beta)))
(fma.f64 -2 (/.f64 alpha beta) 2)
(fma.f64 (/.f64 -2 beta) alpha 2)
2
(+.f64 2 (*.f64 -2 (/.f64 alpha beta)))
(fma.f64 -2 (/.f64 alpha beta) 2)
(fma.f64 (/.f64 -2 beta) alpha 2)
(+.f64 2 (*.f64 -2 (/.f64 alpha beta)))
(fma.f64 -2 (/.f64 alpha beta) 2)
(fma.f64 (/.f64 -2 beta) alpha 2)
(+.f64 2 (*.f64 -2 (/.f64 alpha beta)))
(fma.f64 -2 (/.f64 alpha beta) 2)
(fma.f64 (/.f64 -2 beta) alpha 2)
2
(+.f64 2 (*.f64 -2 (/.f64 alpha beta)))
(fma.f64 -2 (/.f64 alpha beta) 2)
(fma.f64 (/.f64 -2 beta) alpha 2)
(+.f64 2 (*.f64 -2 (/.f64 alpha beta)))
(fma.f64 -2 (/.f64 alpha beta) 2)
(fma.f64 (/.f64 -2 beta) alpha 2)
(+.f64 2 (*.f64 -2 (/.f64 alpha beta)))
(fma.f64 -2 (/.f64 alpha beta) 2)
(fma.f64 (/.f64 -2 beta) alpha 2)
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(*.f64 2 (/.f64 alpha beta))
(*.f64 alpha (/.f64 2 beta))
(+.f64 0 (/.f64 2 (/.f64 beta alpha)))
(*.f64 2 (/.f64 alpha beta))
(*.f64 alpha (/.f64 2 beta))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 alpha beta)) 2)) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 alpha beta)) 2)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 alpha beta)) 2))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (*.f64 alpha (/.f64 2 beta)))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 alpha (/.f64 2 beta))))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (/.f64 alpha beta)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 alpha beta)) 2))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 alpha beta)) 2))))
(*.f64 2 (/.f64 alpha beta))
(*.f64 alpha (/.f64 2 beta))
(-.f64 0 (/.f64 2 (/.f64 beta alpha)))
(*.f64 -2 (/.f64 alpha beta))
(/.f64 alpha (/.f64 beta -2))
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 (/.f64 beta alpha)))) 1)
(*.f64 2 (/.f64 alpha beta))
(*.f64 alpha (/.f64 2 beta))
(/.f64 2 (/.f64 beta alpha))
(*.f64 2 (/.f64 alpha beta))
(*.f64 alpha (/.f64 2 beta))
(/.f64 1 (/.f64 beta (*.f64 2 alpha)))
(*.f64 2 (/.f64 alpha beta))
(*.f64 alpha (/.f64 2 beta))
(/.f64 -2 (/.f64 beta alpha))
(*.f64 -2 (/.f64 alpha beta))
(/.f64 alpha (/.f64 beta -2))
(/.f64 (*.f64 2 alpha) beta)
(*.f64 2 (/.f64 alpha beta))
(*.f64 alpha (/.f64 2 beta))
(/.f64 (neg.f64 (*.f64 2 alpha)) beta)
(*.f64 -2 (/.f64 alpha beta))
(/.f64 alpha (/.f64 beta -2))
(/.f64 (neg.f64 (*.f64 2 alpha)) (neg.f64 beta))
(*.f64 2 (/.f64 alpha beta))
(*.f64 alpha (/.f64 2 beta))
(/.f64 (-.f64 0 (*.f64 (pow.f64 (/.f64 alpha beta) 3) 8)) (+.f64 0 (fma.f64 (pow.f64 (/.f64 alpha beta) 2) 4 (*.f64 0 (/.f64 2 (/.f64 beta alpha))))))
(/.f64 (neg.f64 (*.f64 (pow.f64 (/.f64 alpha beta) 3) 8)) (fma.f64 (pow.f64 (/.f64 alpha beta) 2) 4 0))
(/.f64 (*.f64 (pow.f64 (/.f64 alpha beta) 3) -8) (*.f64 (pow.f64 (/.f64 alpha beta) 2) 4))
(/.f64 -8 (/.f64 (pow.f64 (*.f64 alpha (/.f64 2 beta)) 2) (pow.f64 (/.f64 alpha beta) 3)))
(/.f64 (-.f64 0 (*.f64 (pow.f64 (/.f64 alpha beta) 2) 4)) (/.f64 2 (/.f64 beta alpha)))
(/.f64 (neg.f64 (*.f64 (pow.f64 (/.f64 alpha beta) 2) 4)) (*.f64 (/.f64 2 beta) alpha))
(/.f64 (*.f64 (pow.f64 (/.f64 alpha beta) 2) -4) (*.f64 alpha (/.f64 2 beta)))
(neg.f64 (/.f64 (*.f64 (*.f64 2 beta) (pow.f64 (/.f64 alpha beta) 2)) alpha))
(/.f64 (*.f64 -2 alpha) beta)
(*.f64 -2 (/.f64 alpha beta))
(/.f64 alpha (/.f64 beta -2))
(/.f64 (*.f64 -1 (*.f64 2 alpha)) beta)
(*.f64 -2 (/.f64 alpha beta))
(/.f64 alpha (/.f64 beta -2))
(/.f64 (*.f64 -2 (neg.f64 alpha)) (neg.f64 beta))
(*.f64 -2 (/.f64 alpha beta))
(/.f64 alpha (/.f64 beta -2))
(/.f64 (*.f64 2 (neg.f64 alpha)) (neg.f64 beta))
(*.f64 2 (/.f64 alpha beta))
(*.f64 alpha (/.f64 2 beta))
(/.f64 (*.f64 (neg.f64 alpha) 2) (neg.f64 beta))
(*.f64 2 (/.f64 alpha beta))
(*.f64 alpha (/.f64 2 beta))
(/.f64 (/.f64 (*.f64 2 alpha) 1) beta)
(*.f64 2 (/.f64 alpha beta))
(*.f64 alpha (/.f64 2 beta))
(/.f64 (/.f64 (*.f64 2 alpha) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 beta))
(*.f64 2 (/.f64 alpha beta))
(*.f64 alpha (/.f64 2 beta))
(/.f64 (/.f64 (*.f64 2 alpha) (sqrt.f64 beta)) (sqrt.f64 beta))
(*.f64 2 (/.f64 alpha beta))
(*.f64 alpha (/.f64 2 beta))
(pow.f64 (/.f64 2 (/.f64 beta alpha)) 1)
(*.f64 2 (/.f64 alpha beta))
(*.f64 alpha (/.f64 2 beta))
(pow.f64 (cbrt.f64 (/.f64 2 (/.f64 beta alpha))) 3)
(*.f64 2 (/.f64 alpha beta))
(*.f64 alpha (/.f64 2 beta))
(pow.f64 (*.f64 (pow.f64 (/.f64 alpha beta) 2) 4) 1/2)
(sqrt.f64 (*.f64 (pow.f64 (/.f64 alpha beta) 2) 4))
(sqrt.f64 (pow.f64 (*.f64 alpha (/.f64 2 beta)) 2))
(pow.f64 (*.f64 (pow.f64 (/.f64 alpha beta) 3) 8) 1/3)
(*.f64 2 (/.f64 alpha beta))
(*.f64 alpha (/.f64 2 beta))
(pow.f64 (sqrt.f64 (/.f64 2 (/.f64 beta alpha))) 2)
(*.f64 2 (/.f64 alpha beta))
(*.f64 alpha (/.f64 2 beta))
(pow.f64 (/.f64 beta (*.f64 2 alpha)) -1)
(*.f64 2 (/.f64 alpha beta))
(*.f64 alpha (/.f64 2 beta))
(neg.f64 (/.f64 2 (/.f64 beta alpha)))
(*.f64 -2 (/.f64 alpha beta))
(/.f64 alpha (/.f64 beta -2))
(sqrt.f64 (*.f64 (pow.f64 (/.f64 alpha beta) 2) 4))
(sqrt.f64 (pow.f64 (*.f64 alpha (/.f64 2 beta)) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 alpha beta)) 2))
(*.f64 2 (/.f64 alpha beta))
(*.f64 alpha (/.f64 2 beta))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (/.f64 beta alpha)))))
(*.f64 2 (/.f64 alpha beta))
(*.f64 alpha (/.f64 2 beta))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (/.f64 2 (/.f64 beta alpha))))))
(*.f64 -2 (/.f64 alpha beta))
(/.f64 alpha (/.f64 beta -2))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 alpha beta) 3) 8))
(*.f64 2 (/.f64 alpha beta))
(*.f64 alpha (/.f64 2 beta))
(expm1.f64 (log1p.f64 (/.f64 2 (/.f64 beta alpha))))
(*.f64 2 (/.f64 alpha beta))
(*.f64 alpha (/.f64 2 beta))
(log1p.f64 (expm1.f64 (/.f64 2 (/.f64 beta alpha))))
(*.f64 2 (/.f64 alpha beta))
(*.f64 alpha (/.f64 2 beta))
(exp.f64 (log.f64 (/.f64 2 (/.f64 beta alpha))))
(*.f64 2 (/.f64 alpha beta))
(*.f64 alpha (/.f64 2 beta))
(exp.f64 (*.f64 (log.f64 (/.f64 2 (/.f64 beta alpha))) 1))
(*.f64 2 (/.f64 alpha beta))
(*.f64 alpha (/.f64 2 beta))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 2 (/.f64 beta alpha))) 1) 1))
(*.f64 2 (/.f64 alpha beta))
(*.f64 alpha (/.f64 2 beta))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 2 (/.f64 beta alpha)))) 3))
(*.f64 2 (/.f64 alpha beta))
(*.f64 alpha (/.f64 2 beta))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 2 (/.f64 beta alpha))) 3) 1/3))
(*.f64 2 (/.f64 alpha beta))
(*.f64 alpha (/.f64 2 beta))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 2 (/.f64 beta alpha)))) 1/3))
(*.f64 2 (/.f64 alpha beta))
(*.f64 alpha (/.f64 2 beta))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 2 (/.f64 beta alpha)))) 2))
(*.f64 2 (/.f64 alpha beta))
(*.f64 alpha (/.f64 2 beta))
(-.f64 2 (/.f64 2 (/.f64 beta alpha)))
(fma.f64 -2 (/.f64 alpha beta) 2)
(fma.f64 (/.f64 -2 beta) alpha 2)
(-.f64 0 (fma.f64 2 (/.f64 alpha beta) -2))
(fma.f64 -2 (/.f64 alpha beta) 2)
(fma.f64 (/.f64 -2 beta) alpha 2)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 2 (/.f64 alpha beta) 2))) 1)
(expm1.f64 (log1p.f64 (fma.f64 2 (/.f64 alpha beta) 2)))
(fma.f64 2 (/.f64 alpha beta) 2)
(-.f64 (/.f64 4 (fma.f64 2 (/.f64 alpha beta) 2)) (/.f64 (*.f64 (pow.f64 (/.f64 alpha beta) 2) 4) (fma.f64 2 (/.f64 alpha beta) 2)))
(-.f64 (/.f64 4 (fma.f64 2 (/.f64 alpha beta) 2)) (/.f64 (pow.f64 (/.f64 alpha beta) 2) (/.f64 (fma.f64 2 (/.f64 alpha beta) 2) 4)))
(+.f64 (/.f64 4 (fma.f64 2 (/.f64 alpha beta) 2)) (/.f64 (*.f64 (pow.f64 (/.f64 alpha beta) 2) -4) (fma.f64 2 (/.f64 alpha beta) 2)))
(+.f64 (/.f64 4 (fma.f64 2 (/.f64 alpha beta) 2)) (*.f64 -4 (/.f64 (pow.f64 (/.f64 alpha beta) 2) (fma.f64 2 (/.f64 alpha beta) 2))))
(-.f64 (log.f64 (exp.f64 2)) (/.f64 2 (/.f64 beta alpha)))
(fma.f64 -2 (/.f64 alpha beta) 2)
(fma.f64 (/.f64 -2 beta) alpha 2)
(*.f64 (fma.f64 2 (/.f64 alpha beta) 2) 1)
(expm1.f64 (log1p.f64 (fma.f64 2 (/.f64 alpha beta) 2)))
(fma.f64 2 (/.f64 alpha beta) 2)
(*.f64 (fma.f64 2 (/.f64 alpha beta) 2) (log.f64 (exp.f64 1)))
(expm1.f64 (log1p.f64 (fma.f64 2 (/.f64 alpha beta) 2)))
(fma.f64 2 (/.f64 alpha beta) 2)
(*.f64 1 (fma.f64 2 (/.f64 alpha beta) 2))
(expm1.f64 (log1p.f64 (fma.f64 2 (/.f64 alpha beta) 2)))
(fma.f64 2 (/.f64 alpha beta) 2)
(*.f64 (cbrt.f64 (fma.f64 2 (/.f64 alpha beta) 2)) (pow.f64 (cbrt.f64 (fma.f64 2 (/.f64 alpha beta) 2)) 2))
(expm1.f64 (log1p.f64 (fma.f64 2 (/.f64 alpha beta) 2)))
(fma.f64 2 (/.f64 alpha beta) 2)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (/.f64 alpha beta) 2)) 2) (cbrt.f64 (fma.f64 2 (/.f64 alpha beta) 2)))
(expm1.f64 (log1p.f64 (fma.f64 2 (/.f64 alpha beta) 2)))
(fma.f64 2 (/.f64 alpha beta) 2)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (/.f64 alpha beta) 2)) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 2 (/.f64 alpha beta) 2))) 2))
(*.f64 (sqrt.f64 (fma.f64 2 (/.f64 alpha beta) 2)) (sqrt.f64 (fma.f64 2 (/.f64 alpha beta) 2)))
(expm1.f64 (log1p.f64 (fma.f64 2 (/.f64 alpha beta) 2)))
(fma.f64 2 (/.f64 alpha beta) 2)
(*.f64 (fma.f64 -8 (pow.f64 (/.f64 alpha beta) 3) 8) (/.f64 1 (fma.f64 (/.f64 2 (/.f64 beta alpha)) (fma.f64 2 (/.f64 alpha beta) -2) 4)))
(*.f64 (fma.f64 -8 (pow.f64 (/.f64 alpha beta) 3) 8) (/.f64 1 (fma.f64 (*.f64 (/.f64 2 beta) alpha) (fma.f64 2 (/.f64 alpha beta) -2) 4)))
(/.f64 (fma.f64 -8 (pow.f64 (/.f64 alpha beta) 3) 8) (fma.f64 (*.f64 alpha (/.f64 2 beta)) (fma.f64 2 (/.f64 alpha beta) -2) 4))
(/.f64 (fma.f64 (pow.f64 (/.f64 alpha beta) 3) -8 8) (fma.f64 (*.f64 alpha (/.f64 2 beta)) (fma.f64 2 (/.f64 alpha beta) -2) 4))
(*.f64 (fma.f64 -8 (pow.f64 (/.f64 alpha beta) 3) 8) (pow.f64 (/.f64 1 (fma.f64 (/.f64 2 (/.f64 beta alpha)) (fma.f64 2 (/.f64 alpha beta) -2) 4)) 1))
(*.f64 (fma.f64 -8 (pow.f64 (/.f64 alpha beta) 3) 8) (/.f64 1 (fma.f64 (*.f64 (/.f64 2 beta) alpha) (fma.f64 2 (/.f64 alpha beta) -2) 4)))
(/.f64 (fma.f64 -8 (pow.f64 (/.f64 alpha beta) 3) 8) (fma.f64 (*.f64 alpha (/.f64 2 beta)) (fma.f64 2 (/.f64 alpha beta) -2) 4))
(/.f64 (fma.f64 (pow.f64 (/.f64 alpha beta) 3) -8 8) (fma.f64 (*.f64 alpha (/.f64 2 beta)) (fma.f64 2 (/.f64 alpha beta) -2) 4))
(*.f64 (+.f64 4 (*.f64 (pow.f64 (/.f64 alpha beta) 2) 4)) (/.f64 1 (fma.f64 2 (/.f64 alpha beta) 2)))
(/.f64 (fma.f64 (pow.f64 (/.f64 alpha beta) 2) 4 4) (fma.f64 2 (/.f64 alpha beta) 2))
(*.f64 (+.f64 4 (*.f64 (pow.f64 (/.f64 alpha beta) 2) 4)) (pow.f64 (/.f64 1 (fma.f64 2 (/.f64 alpha beta) 2)) 1))
(*.f64 (+.f64 4 (*.f64 (pow.f64 (/.f64 alpha beta) 2) 4)) (/.f64 1 (fma.f64 2 (/.f64 alpha beta) 2)))
(/.f64 (fma.f64 (pow.f64 (/.f64 alpha beta) 2) 4 4) (fma.f64 2 (/.f64 alpha beta) 2))
(*.f64 (pow.f64 1 1/3) (fma.f64 2 (/.f64 alpha beta) 2))
(expm1.f64 (log1p.f64 (fma.f64 2 (/.f64 alpha beta) 2)))
(fma.f64 2 (/.f64 alpha beta) 2)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (/.f64 alpha beta) 2)) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 2 (/.f64 alpha beta) 2))) 3))
(expm1.f64 (log1p.f64 (fma.f64 2 (/.f64 alpha beta) 2)))
(fma.f64 2 (/.f64 alpha beta) 2)
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 2 (/.f64 alpha beta) 2))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 2 (/.f64 alpha beta) 2))) 3))
(expm1.f64 (log1p.f64 (fma.f64 2 (/.f64 alpha beta) 2)))
(fma.f64 2 (/.f64 alpha beta) 2)
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 2 (/.f64 alpha beta) 2))) (cbrt.f64 (cbrt.f64 (fma.f64 2 (/.f64 alpha beta) 2)))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 2 (/.f64 alpha beta) 2))) 3))
(expm1.f64 (log1p.f64 (fma.f64 2 (/.f64 alpha beta) 2)))
(fma.f64 2 (/.f64 alpha beta) 2)
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 2 (/.f64 alpha beta) 2))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 2 (/.f64 alpha beta) 2))) 3))
(expm1.f64 (log1p.f64 (fma.f64 2 (/.f64 alpha beta) 2)))
(fma.f64 2 (/.f64 alpha beta) 2)
(*.f64 (pow.f64 (pow.f64 (fma.f64 2 (/.f64 alpha beta) 2) 3/2) 1/3) (pow.f64 (pow.f64 (fma.f64 2 (/.f64 alpha beta) 2) 3/2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 2 (/.f64 alpha beta) 2) 3/2)) (cbrt.f64 (pow.f64 (fma.f64 2 (/.f64 alpha beta) 2) 3/2)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 2 (/.f64 alpha beta) 2) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 2 (/.f64 alpha beta) 2) 3)) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 2 (/.f64 alpha beta) 2) 3/2)) (cbrt.f64 (pow.f64 (fma.f64 2 (/.f64 alpha beta) 2) 3/2)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 2 (/.f64 alpha beta) 2) (cbrt.f64 (fma.f64 2 (/.f64 alpha beta) 2))) 2) 1/3) (pow.f64 (cbrt.f64 (fma.f64 2 (/.f64 alpha beta) 2)) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 2 (/.f64 alpha beta) 2))) (cbrt.f64 (pow.f64 (*.f64 (fma.f64 2 (/.f64 alpha beta) 2) (cbrt.f64 (fma.f64 2 (/.f64 alpha beta) 2))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 2 (/.f64 alpha beta) 2))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (/.f64 alpha beta) 2)) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 2 (/.f64 alpha beta) 2))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (/.f64 alpha beta) 2)) 8)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 2 (/.f64 alpha beta) 2) 5/2) 1/3) (pow.f64 (sqrt.f64 (fma.f64 2 (/.f64 alpha beta) 2)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 2 (/.f64 alpha beta) 2))) (cbrt.f64 (pow.f64 (fma.f64 2 (/.f64 alpha beta) 2) 5/2)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (/.f64 alpha beta) 2)) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 2 (/.f64 alpha beta) 2))) 2))
(expm1.f64 (log1p.f64 (fma.f64 2 (/.f64 alpha beta) 2)))
(fma.f64 2 (/.f64 alpha beta) 2)
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 2 (/.f64 alpha beta) 2))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 2 (/.f64 alpha beta) 2))) 2))
(expm1.f64 (log1p.f64 (fma.f64 2 (/.f64 alpha beta) 2)))
(fma.f64 2 (/.f64 alpha beta) 2)
(/.f64 1 (/.f64 (fma.f64 (/.f64 2 (/.f64 beta alpha)) (fma.f64 2 (/.f64 alpha beta) -2) 4) (fma.f64 -8 (pow.f64 (/.f64 alpha beta) 3) 8)))
(*.f64 (fma.f64 -8 (pow.f64 (/.f64 alpha beta) 3) 8) (/.f64 1 (fma.f64 (*.f64 (/.f64 2 beta) alpha) (fma.f64 2 (/.f64 alpha beta) -2) 4)))
(/.f64 (fma.f64 -8 (pow.f64 (/.f64 alpha beta) 3) 8) (fma.f64 (*.f64 alpha (/.f64 2 beta)) (fma.f64 2 (/.f64 alpha beta) -2) 4))
(/.f64 (fma.f64 (pow.f64 (/.f64 alpha beta) 3) -8 8) (fma.f64 (*.f64 alpha (/.f64 2 beta)) (fma.f64 2 (/.f64 alpha beta) -2) 4))
(/.f64 1 (/.f64 (fma.f64 2 (/.f64 alpha beta) 2) (+.f64 4 (*.f64 (pow.f64 (/.f64 alpha beta) 2) 4))))
(*.f64 (+.f64 4 (*.f64 (pow.f64 (/.f64 alpha beta) 2) 4)) (/.f64 1 (fma.f64 2 (/.f64 alpha beta) 2)))
(/.f64 (fma.f64 (pow.f64 (/.f64 alpha beta) 2) 4 4) (fma.f64 2 (/.f64 alpha beta) 2))
(/.f64 (fma.f64 -8 (pow.f64 (/.f64 alpha beta) 3) 8) (fma.f64 (/.f64 2 (/.f64 beta alpha)) (fma.f64 2 (/.f64 alpha beta) -2) 4))
(*.f64 (fma.f64 -8 (pow.f64 (/.f64 alpha beta) 3) 8) (/.f64 1 (fma.f64 (*.f64 (/.f64 2 beta) alpha) (fma.f64 2 (/.f64 alpha beta) -2) 4)))
(/.f64 (fma.f64 -8 (pow.f64 (/.f64 alpha beta) 3) 8) (fma.f64 (*.f64 alpha (/.f64 2 beta)) (fma.f64 2 (/.f64 alpha beta) -2) 4))
(/.f64 (fma.f64 (pow.f64 (/.f64 alpha beta) 3) -8 8) (fma.f64 (*.f64 alpha (/.f64 2 beta)) (fma.f64 2 (/.f64 alpha beta) -2) 4))
(/.f64 (fma.f64 -8 (pow.f64 (/.f64 alpha beta) 3) 8) (fma.f64 (pow.f64 (/.f64 alpha beta) 2) 4 (-.f64 4 (*.f64 -4 (/.f64 alpha beta)))))
(/.f64 (fma.f64 -8 (pow.f64 (/.f64 alpha beta) 3) 8) (fma.f64 (pow.f64 (/.f64 alpha beta) 2) 4 (-.f64 4 (*.f64 (/.f64 alpha beta) -4))))
(/.f64 (fma.f64 -8 (pow.f64 (/.f64 alpha beta) 3) 8) (+.f64 (fma.f64 (pow.f64 (/.f64 alpha beta) 2) 4 4) (/.f64 (*.f64 4 alpha) beta)))
(/.f64 (fma.f64 (pow.f64 (/.f64 alpha beta) 3) -8 8) (fma.f64 (pow.f64 (/.f64 alpha beta) 2) 4 (fma.f64 (/.f64 alpha beta) 4 4)))
(/.f64 (+.f64 4 (*.f64 (pow.f64 (/.f64 alpha beta) 2) 4)) (fma.f64 2 (/.f64 alpha beta) 2))
(*.f64 (+.f64 4 (*.f64 (pow.f64 (/.f64 alpha beta) 2) 4)) (/.f64 1 (fma.f64 2 (/.f64 alpha beta) 2)))
(/.f64 (fma.f64 (pow.f64 (/.f64 alpha beta) 2) 4 4) (fma.f64 2 (/.f64 alpha beta) 2))
(/.f64 (neg.f64 (fma.f64 -8 (pow.f64 (/.f64 alpha beta) 3) 8)) (neg.f64 (fma.f64 (/.f64 2 (/.f64 beta alpha)) (fma.f64 2 (/.f64 alpha beta) -2) 4)))
(*.f64 (fma.f64 -8 (pow.f64 (/.f64 alpha beta) 3) 8) (/.f64 1 (fma.f64 (*.f64 (/.f64 2 beta) alpha) (fma.f64 2 (/.f64 alpha beta) -2) 4)))
(/.f64 (fma.f64 -8 (pow.f64 (/.f64 alpha beta) 3) 8) (fma.f64 (*.f64 alpha (/.f64 2 beta)) (fma.f64 2 (/.f64 alpha beta) -2) 4))
(/.f64 (fma.f64 (pow.f64 (/.f64 alpha beta) 3) -8 8) (fma.f64 (*.f64 alpha (/.f64 2 beta)) (fma.f64 2 (/.f64 alpha beta) -2) 4))
(/.f64 (neg.f64 (+.f64 4 (*.f64 (pow.f64 (/.f64 alpha beta) 2) 4))) (neg.f64 (fma.f64 2 (/.f64 alpha beta) 2)))
(*.f64 (+.f64 4 (*.f64 (pow.f64 (/.f64 alpha beta) 2) 4)) (/.f64 1 (fma.f64 2 (/.f64 alpha beta) 2)))
(/.f64 (fma.f64 (pow.f64 (/.f64 alpha beta) 2) 4 4) (fma.f64 2 (/.f64 alpha beta) 2))
(/.f64 (-.f64 8 (*.f64 (pow.f64 (/.f64 alpha beta) 3) 8)) (fma.f64 (/.f64 2 (/.f64 beta alpha)) (fma.f64 2 (/.f64 alpha beta) -2) 4))
(*.f64 (fma.f64 -8 (pow.f64 (/.f64 alpha beta) 3) 8) (/.f64 1 (fma.f64 (*.f64 (/.f64 2 beta) alpha) (fma.f64 2 (/.f64 alpha beta) -2) 4)))
(/.f64 (fma.f64 -8 (pow.f64 (/.f64 alpha beta) 3) 8) (fma.f64 (*.f64 alpha (/.f64 2 beta)) (fma.f64 2 (/.f64 alpha beta) -2) 4))
(/.f64 (fma.f64 (pow.f64 (/.f64 alpha beta) 3) -8 8) (fma.f64 (*.f64 alpha (/.f64 2 beta)) (fma.f64 2 (/.f64 alpha beta) -2) 4))
(/.f64 (fma.f64 (pow.f64 (/.f64 alpha beta) 2) 4 -4) (fma.f64 2 (/.f64 alpha beta) -2))
(pow.f64 (fma.f64 2 (/.f64 alpha beta) 2) 1)
(expm1.f64 (log1p.f64 (fma.f64 2 (/.f64 alpha beta) 2)))
(fma.f64 2 (/.f64 alpha beta) 2)
(pow.f64 (cbrt.f64 (fma.f64 2 (/.f64 alpha beta) 2)) 3)
(expm1.f64 (log1p.f64 (fma.f64 2 (/.f64 alpha beta) 2)))
(fma.f64 2 (/.f64 alpha beta) 2)
(pow.f64 (pow.f64 (fma.f64 2 (/.f64 alpha beta) 2) 2) 1/2)
(expm1.f64 (log1p.f64 (fma.f64 2 (/.f64 alpha beta) 2)))
(fma.f64 2 (/.f64 alpha beta) 2)
(pow.f64 (pow.f64 (fma.f64 2 (/.f64 alpha beta) 2) 3) 1/3)
(expm1.f64 (log1p.f64 (fma.f64 2 (/.f64 alpha beta) 2)))
(fma.f64 2 (/.f64 alpha beta) 2)
(pow.f64 (sqrt.f64 (fma.f64 2 (/.f64 alpha beta) 2)) 2)
(expm1.f64 (log1p.f64 (fma.f64 2 (/.f64 alpha beta) 2)))
(fma.f64 2 (/.f64 alpha beta) 2)
(pow.f64 (/.f64 (fma.f64 (/.f64 2 (/.f64 beta alpha)) (fma.f64 2 (/.f64 alpha beta) -2) 4) (fma.f64 -8 (pow.f64 (/.f64 alpha beta) 3) 8)) -1)
(*.f64 (fma.f64 -8 (pow.f64 (/.f64 alpha beta) 3) 8) (/.f64 1 (fma.f64 (*.f64 (/.f64 2 beta) alpha) (fma.f64 2 (/.f64 alpha beta) -2) 4)))
(/.f64 (fma.f64 -8 (pow.f64 (/.f64 alpha beta) 3) 8) (fma.f64 (*.f64 alpha (/.f64 2 beta)) (fma.f64 2 (/.f64 alpha beta) -2) 4))
(/.f64 (fma.f64 (pow.f64 (/.f64 alpha beta) 3) -8 8) (fma.f64 (*.f64 alpha (/.f64 2 beta)) (fma.f64 2 (/.f64 alpha beta) -2) 4))
(pow.f64 (/.f64 (fma.f64 2 (/.f64 alpha beta) 2) (+.f64 4 (*.f64 (pow.f64 (/.f64 alpha beta) 2) 4))) -1)
(*.f64 (+.f64 4 (*.f64 (pow.f64 (/.f64 alpha beta) 2) 4)) (/.f64 1 (fma.f64 2 (/.f64 alpha beta) 2)))
(/.f64 (fma.f64 (pow.f64 (/.f64 alpha beta) 2) 4 4) (fma.f64 2 (/.f64 alpha beta) 2))
(sqrt.f64 (pow.f64 (fma.f64 2 (/.f64 alpha beta) 2) 2))
(expm1.f64 (log1p.f64 (fma.f64 2 (/.f64 alpha beta) 2)))
(fma.f64 2 (/.f64 alpha beta) 2)
(log.f64 (exp.f64 (fma.f64 2 (/.f64 alpha beta) 2)))
(expm1.f64 (log1p.f64 (fma.f64 2 (/.f64 alpha beta) 2)))
(fma.f64 2 (/.f64 alpha beta) 2)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 2 (/.f64 alpha beta) 2))))
(expm1.f64 (log1p.f64 (fma.f64 2 (/.f64 alpha beta) 2)))
(fma.f64 2 (/.f64 alpha beta) 2)
(cbrt.f64 (pow.f64 (fma.f64 2 (/.f64 alpha beta) 2) 3))
(expm1.f64 (log1p.f64 (fma.f64 2 (/.f64 alpha beta) 2)))
(fma.f64 2 (/.f64 alpha beta) 2)
(expm1.f64 (log1p.f64 (fma.f64 2 (/.f64 alpha beta) 2)))
(fma.f64 2 (/.f64 alpha beta) 2)
(log1p.f64 (expm1.f64 (fma.f64 2 (/.f64 alpha beta) 2)))
(expm1.f64 (log1p.f64 (fma.f64 2 (/.f64 alpha beta) 2)))
(fma.f64 2 (/.f64 alpha beta) 2)
(exp.f64 (log.f64 (fma.f64 2 (/.f64 alpha beta) 2)))
(expm1.f64 (log1p.f64 (fma.f64 2 (/.f64 alpha beta) 2)))
(fma.f64 2 (/.f64 alpha beta) 2)
(exp.f64 (*.f64 (log.f64 (fma.f64 2 (/.f64 alpha beta) 2)) 1))
(expm1.f64 (log1p.f64 (fma.f64 2 (/.f64 alpha beta) 2)))
(fma.f64 2 (/.f64 alpha beta) 2)
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 2 (/.f64 alpha beta) 2)) 1) 1))
(expm1.f64 (log1p.f64 (fma.f64 2 (/.f64 alpha beta) 2)))
(fma.f64 2 (/.f64 alpha beta) 2)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 2 (/.f64 alpha beta) 2))) 3))
(expm1.f64 (log1p.f64 (fma.f64 2 (/.f64 alpha beta) 2)))
(fma.f64 2 (/.f64 alpha beta) 2)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 2 (/.f64 alpha beta) 2))) 1/3))
(expm1.f64 (log1p.f64 (fma.f64 2 (/.f64 alpha beta) 2)))
(fma.f64 2 (/.f64 alpha beta) 2)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 2 (/.f64 alpha beta) 2))) 2))
(expm1.f64 (log1p.f64 (fma.f64 2 (/.f64 alpha beta) 2)))
(fma.f64 2 (/.f64 alpha beta) 2)
(fma.f64 2 (/.f64 alpha beta) 2)
(expm1.f64 (log1p.f64 (fma.f64 2 (/.f64 alpha beta) 2)))
(fma.f64 2 (/.f64 (neg.f64 alpha) beta) 2)
(fma.f64 -2 (/.f64 alpha beta) 2)
(fma.f64 (/.f64 -2 beta) alpha 2)
(fma.f64 alpha (*.f64 (/.f64 1 beta) 2) 2)
(expm1.f64 (log1p.f64 (fma.f64 2 (/.f64 alpha beta) 2)))
(fma.f64 2 (/.f64 alpha beta) 2)
(fma.f64 (/.f64 alpha beta) 2 2)
(expm1.f64 (log1p.f64 (fma.f64 2 (/.f64 alpha beta) 2)))
(fma.f64 2 (/.f64 alpha beta) 2)
(fma.f64 (/.f64 alpha beta) -2 2)
(fma.f64 -2 (/.f64 alpha beta) 2)
(fma.f64 (/.f64 -2 beta) alpha 2)
(fma.f64 (/.f64 2 (/.f64 beta alpha)) 1 2)
(expm1.f64 (log1p.f64 (fma.f64 2 (/.f64 alpha beta) 2)))
(fma.f64 2 (/.f64 alpha beta) 2)
(fma.f64 (/.f64 2 (/.f64 beta alpha)) -1 2)
(fma.f64 -2 (/.f64 alpha beta) 2)
(fma.f64 (/.f64 -2 beta) alpha 2)
(fma.f64 1 (/.f64 2 (/.f64 beta alpha)) 2)
(expm1.f64 (log1p.f64 (fma.f64 2 (/.f64 alpha beta) 2)))
(fma.f64 2 (/.f64 alpha beta) 2)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 (/.f64 beta alpha))) 2) (cbrt.f64 (/.f64 2 (/.f64 beta alpha))) 2)
(expm1.f64 (log1p.f64 (fma.f64 2 (/.f64 alpha beta) 2)))
(fma.f64 2 (/.f64 alpha beta) 2)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 (/.f64 beta alpha))) 2) (neg.f64 (cbrt.f64 (/.f64 2 (/.f64 beta alpha)))) 2)
(fma.f64 -2 (/.f64 alpha beta) 2)
(fma.f64 (/.f64 -2 beta) alpha 2)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 alpha beta)) 2) (*.f64 (cbrt.f64 (/.f64 alpha beta)) 2) 2)
(expm1.f64 (log1p.f64 (fma.f64 2 (/.f64 alpha beta) 2)))
(fma.f64 2 (/.f64 alpha beta) 2)
(fma.f64 (cbrt.f64 (/.f64 2 (/.f64 beta alpha))) (pow.f64 (cbrt.f64 (/.f64 2 (/.f64 beta alpha))) 2) 2)
(expm1.f64 (log1p.f64 (fma.f64 2 (/.f64 alpha beta) 2)))
(fma.f64 2 (/.f64 alpha beta) 2)
(fma.f64 (sqrt.f64 (/.f64 2 (/.f64 beta alpha))) (sqrt.f64 (/.f64 2 (/.f64 beta alpha))) 2)
(expm1.f64 (log1p.f64 (fma.f64 2 (/.f64 alpha beta) 2)))
(fma.f64 2 (/.f64 alpha beta) 2)
(fma.f64 (sqrt.f64 (/.f64 2 (/.f64 beta alpha))) (neg.f64 (sqrt.f64 (/.f64 2 (/.f64 beta alpha)))) 2)
(fma.f64 -2 (/.f64 alpha beta) 2)
(fma.f64 (/.f64 -2 beta) alpha 2)
(fma.f64 (sqrt.f64 (/.f64 alpha beta)) (*.f64 (sqrt.f64 (/.f64 alpha beta)) 2) 2)
(expm1.f64 (log1p.f64 (fma.f64 2 (/.f64 alpha beta) 2)))
(fma.f64 2 (/.f64 alpha beta) 2)
(fma.f64 -1 (/.f64 2 (/.f64 beta alpha)) 2)
(fma.f64 -2 (/.f64 alpha beta) 2)
(fma.f64 (/.f64 -2 beta) alpha 2)
(fma.f64 -2 (/.f64 alpha beta) 2)
(fma.f64 (/.f64 -2 beta) alpha 2)
(fma.f64 (/.f64 (neg.f64 alpha) beta) 2 2)
(fma.f64 -2 (/.f64 alpha beta) 2)
(fma.f64 (/.f64 -2 beta) alpha 2)
(fma.f64 (*.f64 2 alpha) (/.f64 1 beta) 2)
(expm1.f64 (log1p.f64 (fma.f64 2 (/.f64 alpha beta) 2)))
(fma.f64 2 (/.f64 alpha beta) 2)
(fma.f64 (/.f64 2 (pow.f64 (cbrt.f64 beta) 2)) (/.f64 alpha (cbrt.f64 beta)) 2)
(expm1.f64 (log1p.f64 (fma.f64 2 (/.f64 alpha beta) 2)))
(fma.f64 2 (/.f64 alpha beta) 2)
(fma.f64 (/.f64 2 (sqrt.f64 beta)) (/.f64 alpha (sqrt.f64 beta)) 2)
(expm1.f64 (log1p.f64 (fma.f64 2 (/.f64 alpha beta) 2)))
(fma.f64 2 (/.f64 alpha beta) 2)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 2 (/.f64 beta alpha))) 2)) (cbrt.f64 (/.f64 2 (/.f64 beta alpha))) 2)
(fma.f64 -2 (/.f64 alpha beta) 2)
(fma.f64 (/.f64 -2 beta) alpha 2)
(fma.f64 (neg.f64 (sqrt.f64 (/.f64 2 (/.f64 beta alpha)))) (sqrt.f64 (/.f64 2 (/.f64 beta alpha))) 2)
(fma.f64 -2 (/.f64 alpha beta) 2)
(fma.f64 (/.f64 -2 beta) alpha 2)
(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (/.f64 2 (/.f64 beta alpha))) 2)) (cbrt.f64 (/.f64 2 (/.f64 beta alpha))) 2)
(fma.f64 -2 (/.f64 alpha beta) 2)
(fma.f64 (/.f64 -2 beta) alpha 2)
(fma.f64 (*.f64 -1 (sqrt.f64 (/.f64 2 (/.f64 beta alpha)))) (sqrt.f64 (/.f64 2 (/.f64 beta alpha))) 2)
(fma.f64 -2 (/.f64 alpha beta) 2)
(fma.f64 (/.f64 -2 beta) alpha 2)
(fma.f64 (*.f64 -2 alpha) (/.f64 1 beta) 2)
(fma.f64 -2 (/.f64 alpha beta) 2)
(fma.f64 (/.f64 -2 beta) alpha 2)
(fma.f64 (*.f64 -2 (pow.f64 (cbrt.f64 (/.f64 alpha beta)) 2)) (cbrt.f64 (/.f64 alpha beta)) 2)
(fma.f64 -2 (/.f64 alpha beta) 2)
(fma.f64 (/.f64 -2 beta) alpha 2)
(fma.f64 (*.f64 -2 (sqrt.f64 (/.f64 alpha beta))) (sqrt.f64 (/.f64 alpha beta)) 2)
(fma.f64 -2 (/.f64 alpha beta) 2)
(fma.f64 (/.f64 -2 beta) alpha 2)
(fma.f64 (*.f64 2 (pow.f64 (cbrt.f64 (/.f64 alpha beta)) 2)) (cbrt.f64 (/.f64 alpha beta)) 2)
(expm1.f64 (log1p.f64 (fma.f64 2 (/.f64 alpha beta) 2)))
(fma.f64 2 (/.f64 alpha beta) 2)
(fma.f64 (*.f64 2 (sqrt.f64 (/.f64 alpha beta))) (sqrt.f64 (/.f64 alpha beta)) 2)
(expm1.f64 (log1p.f64 (fma.f64 2 (/.f64 alpha beta) 2)))
(fma.f64 2 (/.f64 alpha beta) 2)

eval56.0ms (1%)

Compiler

Compiled 2556 to 1800 computations (29.6% saved)

prune35.0ms (0.6%)

Pruning

16 alts after pruning (3 fresh and 13 done)

PrunedKeptTotal
New1581159
Fresh022
Picked145
Done099
Total15916175
Accuracy
100.0%
Counts
175 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
30.8%
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
9.1%
(/.f64 (/.f64 (*.f64 beta 2) alpha) 2)
30.8%
(/.f64 (/.f64 (neg.f64 (-.f64 (-.f64 -2 beta) beta)) alpha) 2)
25.4%
(/.f64 (/.f64 2 alpha) 2)
47.1%
(/.f64 (-.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))) 2)
24.2%
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (pow.f64 alpha 2))) 2)
31.8%
(/.f64 (-.f64 2 (/.f64 alpha beta)) 2)
31.8%
(/.f64 (-.f64 2 (/.f64 2 (/.f64 beta alpha))) 2)
49.6%
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
46.6%
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
73.2%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
70.2%
(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
43.8%
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
29.2%
(/.f64 (+.f64 2 (neg.f64 (/.f64 2 beta))) 2)
36.4%
(/.f64 2 2)
47.2%
(/.f64 1 2)
Compiler

Compiled 405 to 310 computations (23.5% saved)

regimes123.0ms (2.2%)

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

5 calls:

75.0ms
beta
21.0ms
alpha
12.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
7.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
6.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
Results
AccuracySegmentsBranch
97.4%2alpha
75.9%3beta
100.0%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
100.0%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
100.0%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
Compiler

Compiled 45 to 31 computations (31.1% saved)

regimes33.0ms (0.6%)

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 (*.f64 1/2 beta) 1) 2)
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(/.f64 (-.f64 2 (/.f64 alpha beta)) 2)
(/.f64 (/.f64 (*.f64 beta 2) alpha) 2)
(/.f64 (+.f64 2 (neg.f64 (/.f64 2 beta))) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) beta) 1) 2)
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
(/.f64 (-.f64 2 (/.f64 2 (/.f64 beta alpha))) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(/.f64 (+.f64 2 (neg.f64 (*.f64 2 (/.f64 alpha beta)))) 2)
(/.f64 (/.f64 (neg.f64 (-.f64 (-.f64 -2 beta) beta)) alpha) 2)
(/.f64 (+.f64 2 (neg.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta))) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (pow.f64 alpha 2))) 2)
Outputs
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
Calls

3 calls:

19.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
7.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
6.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
Results
AccuracySegmentsBranch
99.6%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
99.6%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
99.6%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
Compiler

Compiled 39 to 27 computations (30.8% saved)

regimes18.0ms (0.3%)

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

1 calls:

17.0ms
alpha
Results
AccuracySegmentsBranch
94.9%2alpha
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes15.0ms (0.3%)

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

1 calls:

14.0ms
alpha
Results
AccuracySegmentsBranch
89.2%2alpha
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes110.0ms (1.9%)

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

2 calls:

88.0ms
alpha
21.0ms
beta
Results
AccuracySegmentsBranch
72.6%4beta
72.4%6alpha
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes21.0ms (0.4%)

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

1 calls:

21.0ms
beta
Results
AccuracySegmentsBranch
72.5%4beta
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes20.0ms (0.3%)

Counts
5 → 4
Calls
Call 1
Inputs
(/.f64 1 2)
(/.f64 2 2)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
Outputs
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
(/.f64 2 2)
Calls

1 calls:

19.0ms
beta
Results
AccuracySegmentsBranch
71.9%4beta
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes18.0ms (0.3%)

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

1 calls:

17.0ms
beta
Results
AccuracySegmentsBranch
71.6%4beta
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

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

1 calls:

6.0ms
beta
Results
AccuracySegmentsBranch
68.8%2beta
Compiler

Compiled 3 to 2 computations (33.3% 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
47.2%1alpha
47.2%1beta
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999999925465936
-0.7428609323372958
Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999999987444199
-0.9999999925465936
Compiler

Compiled 20 to 15 computations (25% saved)

bsearch15.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
14.0ms
3406869.195740065
268333681.01109654
Results
11.0ms96×256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
Compiler

Compiled 188 to 155 computations (17.6% saved)

bsearch14.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
14.0ms
3406869.195740065
268333681.01109654
Results
10.0ms96×256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
Compiler

Compiled 160 to 134 computations (16.3% saved)

bsearch52.0ms (0.9%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
21.0ms
0.28546072965814023
478.2921329174592
20.0ms
4.431565226255801e-275
1.0842698676610724e-274
11.0ms
-1.6470759476561438e-245
-1.1629774272406788e-245
Results
21.0ms183×256valid
21.0ms54×1024valid
4.0ms18×512valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms2048valid
Compiler

Compiled 350 to 311 computations (11.1% saved)

bsearch45.0ms (0.8%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
21.0ms
0.28546072965814023
478.2921329174592
13.0ms
4.431565226255801e-275
1.0842698676610724e-274
10.0ms
-1.6470759476561438e-245
-1.1629774272406788e-245
Results
20.0ms177×256valid
15.0ms63×1024valid
3.0ms15×512valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms2048valid
Compiler

Compiled 310 to 279 computations (10% saved)

bsearch48.0ms (0.8%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
23.0ms
0.28546072965814023
478.2921329174592
14.0ms
4.431565226255801e-275
1.0842698676610724e-274
11.0ms
-1.6470759476561438e-245
-1.1629774272406788e-245
Results
22.0ms187×256valid
13.0ms50×1024valid
7.0ms17×512valid
1.0ms2048valid
0.0ms512valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
Compiler

Compiled 310 to 279 computations (10% saved)

bsearch54.0ms (0.9%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
27.0ms
0.28546072965814023
478.2921329174592
16.0ms
4.431565226255801e-275
1.0842698676610724e-274
10.0ms
-1.6470759476561438e-245
-1.1629774272406788e-245
Results
20.0ms187×256valid
16.0ms52×1024valid
3.0ms16×512valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms2048valid
Compiler

Compiled 242 to 228 computations (5.8% saved)

bsearch22.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
22.0ms
0.28546072965814023
478.2921329174592
Results
11.0ms79×256valid
6.0ms25×1024valid
1.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms2048valid
Compiler

Compiled 116 to 111 computations (4.3% saved)

simplify80.0ms (1.4%)

Algorithm
egg-herbie
Rules
400×unsub-neg
214×neg-mul-1
186×distribute-lft-neg-in
106×distribute-neg-out
104×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
091822
1125822
2149822
3168822
4195822
5243822
6291822
7407822
8633822
9804822
10827822
11851822
12879822
13915822
14951822
15975822
16985822
17987822
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -3602879701896397/4503599627370496) (/.f64 (-.f64 (*.f64 (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)) (-.f64 (-.f64 -2 beta) beta)) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -2251799802426249/2251799813685248) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 alpha 6000000) (/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 56000000) (/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 beta -5805748950132029/492012622892544834271389790732894657662927476722860263779722814473019822087813969212041474774160597375290836201288857198210756815506783814402799101977552824568363543598917391308333275538335033741802194070267666507650193099632451067528125735714134272643866558464) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (if (<=.f64 beta 7016626088207999/155925024182399985285654118206003012974019629721520120429886503315407179052262817639449841054112164147604878659702538690935346717843249504745247796741002454712500443199303568477932634487840858373644793495667494061978969566806317999131941817847503449805243820849668440753309257439870625775616) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 799388933858263/562949953421312) (/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) (/.f64 (+.f64 2 (neg.f64 (/.f64 2 beta))) 2))))
(if (<=.f64 beta -5805748950132029/492012622892544834271389790732894657662927476722860263779722814473019822087813969212041474774160597375290836201288857198210756815506783814402799101977552824568363543598917391308333275538335033741802194070267666507650193099632451067528125735714134272643866558464) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (if (<=.f64 beta 7328476136572799/155925024182399985285654118206003012974019629721520120429886503315407179052262817639449841054112164147604878659702538690935346717843249504745247796741002454712500443199303568477932634487840858373644793495667494061978969566806317999131941817847503449805243820849668440753309257439870625775616) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 3602879701896397/4503599627370496) (/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) (/.f64 2 2))))
(if (<=.f64 beta -6986579245074137/492012622892544834271389790732894657662927476722860263779722814473019822087813969212041474774160597375290836201288857198210756815506783814402799101977552824568363543598917391308333275538335033741802194070267666507650193099632451067528125735714134272643866558464) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (if (<=.f64 beta 7016626088207999/155925024182399985285654118206003012974019629721520120429886503315407179052262817639449841054112164147604878659702538690935346717843249504745247796741002454712500443199303568477932634487840858373644793495667494061978969566806317999131941817847503449805243820849668440753309257439870625775616) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (/.f64 2 2))))
(if (<=.f64 beta -5805748950132029/492012622892544834271389790732894657662927476722860263779722814473019822087813969212041474774160597375290836201288857198210756815506783814402799101977552824568363543598917391308333275538335033741802194070267666507650193099632451067528125735714134272643866558464) (/.f64 1 2) (if (<=.f64 beta 7016626088207999/155925024182399985285654118206003012974019629721520120429886503315407179052262817639449841054112164147604878659702538690935346717843249504745247796741002454712500443199303568477932634487840858373644793495667494061978969566806317999131941817847503449805243820849668440753309257439870625775616) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 4728779608739021/2251799813685248) (/.f64 1 2) (/.f64 2 2))))
(if (<=.f64 beta 2) (/.f64 1 2) (/.f64 2 2))
(/.f64 1 2)
Outputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -3602879701896397/4503599627370496) (/.f64 (-.f64 (*.f64 (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)) (-.f64 (-.f64 -2 beta) beta)) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -3602879701896397/4503599627370496) (/.f64 (-.f64 (*.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (-.f64 (-.f64 -2 beta) beta)) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -3602879701896397/4503599627370496) (/.f64 (+.f64 (*.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (-.f64 (-.f64 -2 beta) beta)) (/.f64 (-.f64 beta (-.f64 -2 beta)) alpha)) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -2251799802426249/2251799813685248) (/.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 (+.f64 beta alpha) 2)) -2251799802426249/2251799813685248) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))
(if (<=.f64 alpha 6000000) (/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 6000000) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2))
(if (<=.f64 alpha 56000000) (/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 alpha 56000000) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 beta -5805748950132029/492012622892544834271389790732894657662927476722860263779722814473019822087813969212041474774160597375290836201288857198210756815506783814402799101977552824568363543598917391308333275538335033741802194070267666507650193099632451067528125735714134272643866558464) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (if (<=.f64 beta 7016626088207999/155925024182399985285654118206003012974019629721520120429886503315407179052262817639449841054112164147604878659702538690935346717843249504745247796741002454712500443199303568477932634487840858373644793495667494061978969566806317999131941817847503449805243820849668440753309257439870625775616) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 799388933858263/562949953421312) (/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) (/.f64 (+.f64 2 (neg.f64 (/.f64 2 beta))) 2))))
(if (<=.f64 beta -5805748950132029/492012622892544834271389790732894657662927476722860263779722814473019822087813969212041474774160597375290836201288857198210756815506783814402799101977552824568363543598917391308333275538335033741802194070267666507650193099632451067528125735714134272643866558464) (/.f64 (+.f64 1 (*.f64 beta 1/2)) 2) (if (<=.f64 beta 7016626088207999/155925024182399985285654118206003012974019629721520120429886503315407179052262817639449841054112164147604878659702538690935346717843249504745247796741002454712500443199303568477932634487840858373644793495667494061978969566806317999131941817847503449805243820849668440753309257439870625775616) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 799388933858263/562949953421312) (/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) (/.f64 (-.f64 2 (/.f64 2 beta)) 2))))
(if (<=.f64 beta -5805748950132029/492012622892544834271389790732894657662927476722860263779722814473019822087813969212041474774160597375290836201288857198210756815506783814402799101977552824568363543598917391308333275538335033741802194070267666507650193099632451067528125735714134272643866558464) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (if (<=.f64 beta 7328476136572799/155925024182399985285654118206003012974019629721520120429886503315407179052262817639449841054112164147604878659702538690935346717843249504745247796741002454712500443199303568477932634487840858373644793495667494061978969566806317999131941817847503449805243820849668440753309257439870625775616) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 3602879701896397/4503599627370496) (/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) (/.f64 2 2))))
(if (<=.f64 beta -5805748950132029/492012622892544834271389790732894657662927476722860263779722814473019822087813969212041474774160597375290836201288857198210756815506783814402799101977552824568363543598917391308333275538335033741802194070267666507650193099632451067528125735714134272643866558464) (/.f64 (+.f64 1 (*.f64 beta 1/2)) 2) (if (<=.f64 beta 7328476136572799/155925024182399985285654118206003012974019629721520120429886503315407179052262817639449841054112164147604878659702538690935346717843249504745247796741002454712500443199303568477932634487840858373644793495667494061978969566806317999131941817847503449805243820849668440753309257439870625775616) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 3602879701896397/4503599627370496) (/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) 1)))
(if (<=.f64 beta -6986579245074137/492012622892544834271389790732894657662927476722860263779722814473019822087813969212041474774160597375290836201288857198210756815506783814402799101977552824568363543598917391308333275538335033741802194070267666507650193099632451067528125735714134272643866558464) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (if (<=.f64 beta 7016626088207999/155925024182399985285654118206003012974019629721520120429886503315407179052262817639449841054112164147604878659702538690935346717843249504745247796741002454712500443199303568477932634487840858373644793495667494061978969566806317999131941817847503449805243820849668440753309257439870625775616) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (/.f64 2 2))))
(if (<=.f64 beta -6986579245074137/492012622892544834271389790732894657662927476722860263779722814473019822087813969212041474774160597375290836201288857198210756815506783814402799101977552824568363543598917391308333275538335033741802194070267666507650193099632451067528125735714134272643866558464) (/.f64 (+.f64 1 (*.f64 beta 1/2)) 2) (if (<=.f64 beta 7016626088207999/155925024182399985285654118206003012974019629721520120429886503315407179052262817639449841054112164147604878659702538690935346717843249504745247796741002454712500443199303568477932634487840858373644793495667494061978969566806317999131941817847503449805243820849668440753309257439870625775616) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (+.f64 1 (*.f64 beta 1/2)) 2) 1)))
(if (<=.f64 beta -5805748950132029/492012622892544834271389790732894657662927476722860263779722814473019822087813969212041474774160597375290836201288857198210756815506783814402799101977552824568363543598917391308333275538335033741802194070267666507650193099632451067528125735714134272643866558464) (/.f64 1 2) (if (<=.f64 beta 7016626088207999/155925024182399985285654118206003012974019629721520120429886503315407179052262817639449841054112164147604878659702538690935346717843249504745247796741002454712500443199303568477932634487840858373644793495667494061978969566806317999131941817847503449805243820849668440753309257439870625775616) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 4728779608739021/2251799813685248) (/.f64 1 2) (/.f64 2 2))))
(if (<=.f64 beta -5805748950132029/492012622892544834271389790732894657662927476722860263779722814473019822087813969212041474774160597375290836201288857198210756815506783814402799101977552824568363543598917391308333275538335033741802194070267666507650193099632451067528125735714134272643866558464) 1/2 (if (<=.f64 beta 7016626088207999/155925024182399985285654118206003012974019629721520120429886503315407179052262817639449841054112164147604878659702538690935346717843249504745247796741002454712500443199303568477932634487840858373644793495667494061978969566806317999131941817847503449805243820849668440753309257439870625775616) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 4728779608739021/2251799813685248) 1/2 1)))
(if (<=.f64 beta 2) (/.f64 1 2) (/.f64 2 2))
(if (<=.f64 beta 2) 1/2 1)
(/.f64 1 2)
1/2
Compiler

Compiled 271 to 209 computations (22.9% saved)

soundness650.0ms (11.4%)

Rules
1522×fma-neg
1522×fma-neg
1522×fma-neg
774×fma-neg
710×sub-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
046311003
1138510561
2520910468
046311003
1138510561
2520910468
05409006
113347479
246727275
046311003
1138510561
2520910468
Stop Event
node limit
node limit
node limit
node limit
Compiler

Compiled 75 to 63 computations (16% saved)

end0.0ms (0%)

preprocess138.0ms (2.4%)

Compiler

Compiled 536 to 400 computations (25.4% saved)

Profiling

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