Octave 3.8, jcobi/1

Time bar (total: 7.7s)

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)

sample1.6s (20.6%)

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

preprocess341.0ms (4.4%)

Algorithm
egg-herbie
Rules
1436×sub-neg
1292×div-sub
860×distribute-lft-neg-in
732×fma-def
594×neg-mul-1
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
660-0-(+.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
54665343
67242343
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 1/2 (/.f64 (/.f64 (-.f64 beta alpha) (+.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 1/2 (/.f64 (/.f64 (-.f64 beta alpha) (+.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 4 (*.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 beta alpha) (+.f64 4 (*.f64 (-.f64 alpha beta) -2))))
(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 4 (*.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 41 to 28 computations (31.7% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
76.1%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
Compiler

Compiled 15 to 11 computations (26.7% saved)

localize64.0ms (0.8%)

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))
76.1%
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
Compiler

Compiled 51 to 24 computations (52.9% saved)

series11.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

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

rewrite268.0ms (3.5%)

Algorithm
batch-egg-rewrite
Rules
1290×log1p-expm1-u
1290×expm1-log1p-u
362×log1p-udef
360×expm1-udef
98×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01499
120699
2329699
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)))
(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))
(log1p.f64 (expm1.f64 (+.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)))))
(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))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(-.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))))
(exp.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))))
(exp.f64 (*.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))) 1))
(log1p.f64 (expm1.f64 (+.f64 beta (+.f64 alpha 2))))
(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))

simplify142.0ms (1.9%)

Algorithm
egg-herbie
Rules
1440×fma-neg
692×sub-neg
576×fma-def
500×div-sub
388×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
046310975
1137510541
2519410432
Stop Event
node limit
Counts
183 → 292
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)))
(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))
(log1p.f64 (expm1.f64 (+.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)))))
(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))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(-.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))))
(exp.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))))
(exp.f64 (*.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))) 1))
(log1p.f64 (expm1.f64 (+.f64 beta (+.f64 alpha 2))))
(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 (fma.f64 beta (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) 1) (-.f64 (*.f64 (pow.f64 beta 2) (-.f64 (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)))) (/.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))))
(+.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) (-.f64 (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3))) (*.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 (pow.f64 beta 2)) (+.f64 alpha 2)) (/.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 (pow.f64 beta 2)) (+.f64 alpha 2)) (/.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 alpha (pow.f64 beta 2)) (+.f64 alpha 2)) (+.f64 (*.f64 (/.f64 alpha (pow.f64 beta 3)) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (fma.f64 alpha 2 2) beta))) (-.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2)) (pow.f64 (/.f64 (+.f64 alpha 2) beta) 3))))
2
(-.f64 (+.f64 2 (*.f64 -1 (/.f64 alpha beta))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(+.f64 2 (-.f64 (/.f64 (neg.f64 alpha) beta) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))))
(-.f64 (-.f64 2 (/.f64 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 2 (-.f64 (-.f64 (/.f64 (-.f64 -2 alpha) (/.f64 (pow.f64 beta 2) (-.f64 (-.f64 -2 alpha) alpha))) (/.f64 alpha beta)) (+.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 2 (-.f64 (-.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 alpha beta)) (+.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))))))
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-1
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-1
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(fma.f64 -1 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) -1)
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(-.f64 -1 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha))
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(+.f64 2 beta)
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(+.f64 alpha (+.f64 2 beta))
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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))
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
beta
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
beta
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(+.f64 2 (+.f64 alpha beta))
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(+.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))))
(+.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))
(log1p.f64 (expm1.f64 (+.f64 beta (+.f64 alpha 2))))
(+.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))

eval273.0ms (3.6%)

Compiler

Compiled 8602 to 6034 computations (29.9% saved)

prune69.0ms (0.9%)

Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New28012292
Fresh000
Picked101
Done000
Total28112293
Accuracy
100.0%
Counts
293 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.9%
(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) 2)
46.0%
(/.f64 (/.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))))) 2)
27.6%
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
46.0%
(/.f64 (/.f64 1 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1))) 2)
25.2%
(/.f64 (-.f64 (+.f64 (*.f64 (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)) (-.f64 (-.f64 -2 beta) beta)) (+.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3) (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)))) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 2)
26.2%
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)) (-.f64 (-.f64 -2 beta) beta)) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 2)
49.2%
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
35.6%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) beta) 1) 2)
74.5%
(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
32.6%
(/.f64 (+.f64 2 (neg.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta))) 2)
3.6%
(/.f64 (+.f64 -1 1) 2)
40.1%
(/.f64 2 2)
Compiler

Compiled 432 to 328 computations (24.1% saved)

localize268.0ms (3.5%)

Localize:

Found 9 expressions with local error:

NewAccuracyProgram
100.0%
(+.f64 2 (neg.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta)))
100.0%
(/.f64 (+.f64 2 (*.f64 alpha 2)) beta)
100.0%
(/.f64 alpha (+.f64 alpha 2))
71.1%
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
100.0%
(/.f64 beta (+.f64 2 beta))
100.0%
(+.f64 (/.f64 beta (+.f64 2 beta)) 1)
100.0%
(+.f64 beta (+.f64 alpha 2))
100.0%
(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
75.9%
(fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1)
Compiler

Compiled 157 to 110 computations (29.9% saved)

series45.0ms (0.6%)

Counts
9 → 168
Calls

42 calls:

TimeVariablePointExpression
29.0ms
beta
@0
(+.f64 2 (neg.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta)))
1.0ms
alpha
@-inf
(fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1)
1.0ms
alpha
@inf
(fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1)
1.0ms
beta
@-inf
(+.f64 (/.f64 beta (+.f64 2 beta)) 1)
1.0ms
alpha
@0
(fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1)

rewrite219.0ms (2.9%)

Algorithm
batch-egg-rewrite
Rules
806×expm1-udef
806×log1p-udef
272×associate-*r*
222×log1p-expm1-u
222×expm1-log1p-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026233
1460223
27299223
Stop Event
node limit
Counts
9 → 310
Calls
Call 1
Inputs
(fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1)
(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
(+.f64 beta (+.f64 alpha 2))
(+.f64 (/.f64 beta (+.f64 2 beta)) 1)
(/.f64 beta (+.f64 2 beta))
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(/.f64 alpha (+.f64 alpha 2))
(/.f64 (+.f64 2 (*.f64 alpha 2)) beta)
(+.f64 2 (neg.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta)))
Outputs
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)
(+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) 1)
(*.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1)
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 2) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3) 1) (+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) (-.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))))
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))
(pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 3)
(pow.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 2))
(log.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))))) 1)
(*.f64 1 (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) 1)
(*.f64 -1 (/.f64 1 (+.f64 (neg.f64 (+.f64 beta alpha)) -2)))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))) (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)) (/.f64 1 (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -1/2) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) -1))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) -1) (pow.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) -1))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta))))
(*.f64 (/.f64 1 (-.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)))
(pow.f64 (+.f64 alpha (+.f64 beta 2)) -1)
(pow.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) 3) 1/3)
(pow.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -1/2) 2)
(sqrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 alpha (+.f64 beta 2)))))
(exp.f64 (*.f64 (log.f64 (+.f64 alpha (+.f64 beta 2))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 alpha (+.f64 beta 2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 alpha (+.f64 beta 2)))) 1)
(-.f64 (/.f64 (pow.f64 beta 2) (-.f64 beta (+.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (-.f64 beta (+.f64 alpha 2))))
(*.f64 1 (+.f64 alpha (+.f64 beta 2)))
(*.f64 (+.f64 alpha (+.f64 beta 2)) 1)
(*.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2) (cbrt.f64 (+.f64 alpha (+.f64 beta 2))))
(*.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))
(*.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)) (/.f64 1 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta)))))
(*.f64 (-.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (-.f64 beta (+.f64 alpha 2))))
(/.f64 1 (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
(/.f64 1 (/.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta))) (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))))
(/.f64 1 (/.f64 (-.f64 beta (+.f64 alpha 2)) (-.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 2))))
(/.f64 (+.f64 alpha (+.f64 beta 2)) 1)
(/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 1 (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -1/2))
(/.f64 (+.f64 (neg.f64 (+.f64 beta alpha)) -2) -1)
(/.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta))))
(/.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)) (+.f64 (pow.f64 (+.f64 alpha 2) 2) (-.f64 (pow.f64 beta 2) (*.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 2)) (-.f64 beta (+.f64 alpha 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))) (neg.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 2))) (neg.f64 (-.f64 beta (+.f64 alpha 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8) (+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))))
(/.f64 (-.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2)) (-.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) 4) (-.f64 (+.f64 beta alpha) 2))
(pow.f64 (+.f64 alpha (+.f64 beta 2)) 1)
(pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 3)
(pow.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)
(sqrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))
(log.f64 (exp.f64 (+.f64 alpha (+.f64 beta 2))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 alpha (+.f64 beta 2)))))
(cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3))
(expm1.f64 (log1p.f64 (+.f64 alpha (+.f64 beta 2))))
(exp.f64 (log.f64 (+.f64 alpha (+.f64 beta 2))))
(exp.f64 (*.f64 (log.f64 (+.f64 alpha (+.f64 beta 2))) 1))
(log1p.f64 (expm1.f64 (+.f64 alpha (+.f64 beta 2))))
(fma.f64 1 beta (+.f64 alpha 2))
(fma.f64 1 (+.f64 alpha 2) beta)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2) (cbrt.f64 (+.f64 alpha 2)) beta)
(fma.f64 (pow.f64 (cbrt.f64 beta) 2) (cbrt.f64 beta) (+.f64 alpha 2))
(fma.f64 (sqrt.f64 (+.f64 alpha 2)) (sqrt.f64 (+.f64 alpha 2)) beta)
(fma.f64 (sqrt.f64 beta) (sqrt.f64 beta) (+.f64 alpha 2))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))))) 1)
(-.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1)))
(*.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2))))
(*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 1)
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) 2) (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (sqrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))
(*.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2))))))
(*.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))) (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3))))
(/.f64 1 (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) -1) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1)))
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (/.f64 beta (+.f64 beta 2)))))
(/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1) (+.f64 (/.f64 beta (+.f64 beta 2)) -1))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1)) (neg.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) -1)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) (-.f64 1 (/.f64 beta (+.f64 beta 2))))
(pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2))
(log.f64 (exp.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))))))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))
(exp.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))
(fma.f64 beta (/.f64 1 (+.f64 beta 2)) 1)
(fma.f64 1 (/.f64 beta (+.f64 beta 2)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 1)
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 1)
(-.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 1)
(*.f64 beta (/.f64 1 (+.f64 beta 2)))
(*.f64 beta (*.f64 (/.f64 1 (+.f64 beta 2)) 1))
(*.f64 1 (/.f64 beta (+.f64 beta 2)))
(*.f64 (/.f64 beta (+.f64 beta 2)) 1)
(*.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta 2))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (*.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 1))
(*.f64 (pow.f64 (cbrt.f64 beta) 2) (*.f64 (cbrt.f64 beta) (/.f64 1 (+.f64 beta 2))))
(*.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (sqrt.f64 (/.f64 beta (+.f64 beta 2))))
(*.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (*.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 1))
(*.f64 (sqrt.f64 beta) (*.f64 (sqrt.f64 beta) (/.f64 1 (+.f64 beta 2))))
(*.f64 (neg.f64 beta) (/.f64 1 (neg.f64 (+.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 (neg.f64 (+.f64 beta 2))))
(sqrt.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2))
(log.f64 (exp.f64 (/.f64 beta (+.f64 beta 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 beta (+.f64 beta 2)))))
(cbrt.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3))
(expm1.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))))
(exp.f64 (log.f64 (/.f64 beta (+.f64 beta 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 beta (+.f64 beta 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 beta (+.f64 beta 2))))
(+.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))
(+.f64 1 (*.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) 1))
(+.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) 1)
(*.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1)
(*.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2) (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(*.f64 (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))))
(/.f64 1 (/.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (neg.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (neg.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) 3)) (+.f64 1 (-.f64 (*.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))))
(/.f64 (-.f64 1 (*.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (-.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))
(pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1)
(pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 3)
(pow.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2)
(sqrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2))
(log.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))))
(cbrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3))
(expm1.f64 (log1p.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(exp.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) 1))
(log1p.f64 (expm1.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(-.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1)
(*.f64 alpha (/.f64 1 (+.f64 alpha 2)))
(*.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(*.f64 (/.f64 alpha (+.f64 alpha 2)) 1)
(*.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2) (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))))
(*.f64 (pow.f64 (cbrt.f64 alpha) 2) (*.f64 (cbrt.f64 alpha) (/.f64 1 (+.f64 alpha 2))))
(*.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))) (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))))
(*.f64 (sqrt.f64 alpha) (*.f64 (sqrt.f64 alpha) (/.f64 1 (+.f64 alpha 2))))
(*.f64 (neg.f64 alpha) (/.f64 1 (+.f64 (neg.f64 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 8 (pow.f64 alpha 3))) (fma.f64 alpha alpha (-.f64 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 (+.f64 (neg.f64 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))))
(exp.f64 (log.f64 (/.f64 alpha (+.f64 alpha 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 alpha (+.f64 alpha 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 alpha (+.f64 alpha 2))))
(+.f64 0 (/.f64 (fma.f64 alpha 2 2) beta))
(-.f64 0 (/.f64 (fma.f64 alpha 2 2) beta))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 alpha 2 2) beta))) 1)
(*.f64 1 (/.f64 (fma.f64 alpha 2 2) beta))
(*.f64 (fma.f64 alpha 2 2) (/.f64 1 beta))
(*.f64 (fma.f64 alpha 2 2) (neg.f64 (/.f64 1 beta)))
(*.f64 (/.f64 (fma.f64 alpha 2 2) beta) 1)
(*.f64 (/.f64 (fma.f64 alpha 2 2) beta) -1)
(*.f64 -1 (/.f64 (fma.f64 alpha 2 2) beta))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 alpha 2 2) beta)) 2) (cbrt.f64 (/.f64 (fma.f64 alpha 2 2) beta)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 alpha 2 2) beta)) 2) (neg.f64 (cbrt.f64 (/.f64 (fma.f64 alpha 2 2) beta))))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 alpha 2 2) beta)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 alpha 2 2) beta)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 alpha 2 2)) 2) (*.f64 (cbrt.f64 (fma.f64 alpha 2 2)) (/.f64 1 beta)))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 alpha 2 2) beta)) (sqrt.f64 (/.f64 (fma.f64 alpha 2 2) beta)))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 alpha 2 2) beta)) (neg.f64 (sqrt.f64 (/.f64 (fma.f64 alpha 2 2) beta))))
(*.f64 (sqrt.f64 (fma.f64 alpha 2 2)) (*.f64 (sqrt.f64 (fma.f64 alpha 2 2)) (/.f64 1 beta)))
(*.f64 (*.f64 (+.f64 alpha 1) -2) (/.f64 1 beta))
(*.f64 (*.f64 (+.f64 alpha 1) -2) (/.f64 1 (neg.f64 beta)))
(*.f64 (/.f64 1 beta) (fma.f64 alpha 2 2))
(*.f64 (+.f64 alpha 1) (*.f64 2 (/.f64 1 beta)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (fma.f64 alpha 2 2) (cbrt.f64 beta)))
(*.f64 (/.f64 1 (sqrt.f64 beta)) (/.f64 (fma.f64 alpha 2 2) (sqrt.f64 beta)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 alpha 2 2)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 alpha 2 2)) beta))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 alpha 2 2)) 2) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 (/.f64 (fma.f64 alpha 2 2) beta)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 alpha 2 2)) 2) (sqrt.f64 beta)) (/.f64 (cbrt.f64 (fma.f64 alpha 2 2)) (sqrt.f64 beta)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 alpha 2 2)) 1) (/.f64 (sqrt.f64 (fma.f64 alpha 2 2)) beta))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 alpha 2 2)) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (sqrt.f64 (fma.f64 alpha 2 2)) (cbrt.f64 beta)))
(*.f64 (/.f64 (+.f64 alpha 1) 1) (/.f64 2 beta))
(*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 2 (cbrt.f64 beta)))
(*.f64 (/.f64 (+.f64 alpha 1) (sqrt.f64 beta)) (/.f64 2 (sqrt.f64 beta)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (fma.f64 alpha 2 2) beta))) (sqrt.f64 (/.f64 (fma.f64 alpha 2 2) beta)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 alpha 2 2) beta)) 2)) (cbrt.f64 (/.f64 (fma.f64 alpha 2 2) beta)))
(*.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 alpha 2 2) beta)) 2)) (cbrt.f64 (/.f64 (fma.f64 alpha 2 2) beta)))
(*.f64 (*.f64 -1 (sqrt.f64 (/.f64 (fma.f64 alpha 2 2) beta))) (sqrt.f64 (/.f64 (fma.f64 alpha 2 2) beta)))
(pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 1)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 alpha 2 2) beta)) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 alpha 2 2) beta)) 2)
(pow.f64 (/.f64 beta (fma.f64 alpha 2 2)) -1)
(neg.f64 (/.f64 (fma.f64 alpha 2 2) beta))
(neg.f64 (/.f64 (fma.f64 alpha 2 2) (neg.f64 beta)))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 alpha 2 2) beta)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 alpha 2 2) beta))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 alpha 2 2) 3) (pow.f64 beta 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 alpha 2 2) beta)))
(exp.f64 (log.f64 (/.f64 (fma.f64 alpha 2 2) beta)))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 alpha 2 2) beta)) 1))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 alpha 2 2) beta)))
(-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))
(-.f64 0 (-.f64 (/.f64 (fma.f64 alpha 2 2) beta) 2))
(-.f64 (exp.f64 (log1p.f64 (+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)))) 1)
(-.f64 (/.f64 4 (+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))) (/.f64 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 2) (+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))))
(*.f64 1 (+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)))
(*.f64 (+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) 1)
(*.f64 (cbrt.f64 (+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))) (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))) 2) (cbrt.f64 (+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))))
(*.f64 (sqrt.f64 (+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))) (sqrt.f64 (+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))))
(*.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 3) 8) (/.f64 1 (+.f64 4 (*.f64 (/.f64 (fma.f64 alpha 2 2) beta) (-.f64 (/.f64 (fma.f64 alpha 2 2) beta) 2)))))
(*.f64 (+.f64 4 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 2)) (/.f64 1 (+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))))
(/.f64 1 (/.f64 (+.f64 4 (*.f64 (/.f64 (fma.f64 alpha 2 2) beta) (-.f64 (/.f64 (fma.f64 alpha 2 2) beta) 2))) (+.f64 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 3) 8)))
(/.f64 1 (/.f64 (+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) (+.f64 4 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 2))))
(/.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 3) 8) (+.f64 4 (*.f64 (/.f64 (fma.f64 alpha 2 2) beta) (-.f64 (/.f64 (fma.f64 alpha 2 2) beta) 2))))
(/.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 3) 8) (+.f64 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 2) (-.f64 4 (*.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)))))
(/.f64 (+.f64 4 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 2)) (+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 3) 8)) (neg.f64 (+.f64 4 (*.f64 (/.f64 (fma.f64 alpha 2 2) beta) (-.f64 (/.f64 (fma.f64 alpha 2 2) beta) 2)))))
(/.f64 (neg.f64 (+.f64 4 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 2))) (neg.f64 (+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))))
(/.f64 (-.f64 8 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 3)) (+.f64 4 (*.f64 (/.f64 (fma.f64 alpha 2 2) beta) (-.f64 (/.f64 (fma.f64 alpha 2 2) beta) 2))))
(/.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 2) 4) (-.f64 (/.f64 (fma.f64 alpha 2 2) beta) 2))
(pow.f64 (+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) 1)
(pow.f64 (cbrt.f64 (+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))) 3)
(pow.f64 (pow.f64 (+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))) 2)
(sqrt.f64 (pow.f64 (+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) 2))
(log.f64 (exp.f64 (+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)))))
(cbrt.f64 (pow.f64 (+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) 3))
(expm1.f64 (log1p.f64 (+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))))
(exp.f64 (log.f64 (+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))))
(exp.f64 (*.f64 (log.f64 (+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))) 1))
(log1p.f64 (expm1.f64 (+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))))
(fma.f64 1 (/.f64 (fma.f64 alpha 2 2) beta) 2)
(fma.f64 -1 (/.f64 (fma.f64 alpha 2 2) beta) 2)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 alpha 2 2) beta)) 2) (cbrt.f64 (/.f64 (fma.f64 alpha 2 2) beta)) 2)
(fma.f64 (sqrt.f64 (/.f64 (fma.f64 alpha 2 2) beta)) (sqrt.f64 (/.f64 (fma.f64 alpha 2 2) beta)) 2)

simplify180.0ms (2.3%)

Algorithm
egg-herbie
Rules
1176×fma-def
600×associate-*r*
570×associate-*l*
562×associate-+r+
482×associate-+l+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
093218939
1248518291
Stop Event
node limit
Counts
478 → 625
Calls
Call 1
Inputs
(+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (+.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 1 (+.f64 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (+.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))))))))
2
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (*.f64 -1 (/.f64 (+.f64 2 alpha) beta))))
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))))
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 (*.f64 -1 (/.f64 (*.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))) (+.f64 (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))))))
2
(+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)))
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 beta 3))) (+.f64 (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))))
(+.f64 1 (/.f64 beta (+.f64 2 beta)))
(+.f64 1 (+.f64 (*.f64 alpha (-.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (/.f64 1 (+.f64 2 beta)))) (/.f64 beta (+.f64 2 beta))))
(+.f64 1 (+.f64 (*.f64 alpha (-.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (/.f64 1 (+.f64 2 beta)))) (+.f64 (*.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 alpha (-.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (/.f64 1 (+.f64 2 beta)))) (+.f64 (*.f64 (pow.f64 alpha 2) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 beta (pow.f64 (+.f64 2 beta) 3)))) (+.f64 (*.f64 (pow.f64 alpha 3) (-.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 4))) (/.f64 1 (pow.f64 (+.f64 2 beta) 3)))) (/.f64 beta (+.f64 2 beta))))))
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))) (+.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 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))) (+.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 (/.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 beta (+.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 3)) (pow.f64 alpha 4))) (+.f64 (*.f64 -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 (/.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 (+.f64 (*.f64 -1 beta) (*.f64 -1 (+.f64 2 beta))) alpha))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (+.f64 2 beta))) alpha)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (+.f64 2 beta))) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 beta (pow.f64 (+.f64 2 beta) 2))) (*.f64 -1 (pow.f64 (+.f64 2 beta) 3))) (pow.f64 alpha 3))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 3)) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (+.f64 2 beta))) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 beta (pow.f64 (+.f64 2 beta) 2))) (*.f64 -1 (pow.f64 (+.f64 2 beta) 3))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4))))))))
(/.f64 1 (+.f64 2 alpha))
(+.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (/.f64 1 (+.f64 2 alpha)))
(+.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 3))))
(+.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 3)))))
(/.f64 1 beta)
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))) (/.f64 1 beta))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))) (+.f64 (/.f64 1 beta) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 4))) (+.f64 (/.f64 1 beta) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3)))))
(/.f64 1 beta)
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))) (/.f64 1 beta))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))) (+.f64 (/.f64 1 beta) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 4))) (+.f64 (/.f64 1 beta) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3)))))
(/.f64 1 (+.f64 2 beta))
(+.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 beta) 2))) (/.f64 1 (+.f64 2 beta)))
(+.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 beta) 2))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 beta) 3))))
(+.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 beta) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 4))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 beta) 3)))))
(/.f64 1 alpha)
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 beta) (pow.f64 alpha 2))) (/.f64 1 alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 beta) (pow.f64 alpha 2))) (+.f64 (/.f64 1 alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 beta) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 4))) (+.f64 (/.f64 1 alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3)))))
(/.f64 1 alpha)
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 beta) (pow.f64 alpha 2))) (/.f64 1 alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 beta) (pow.f64 alpha 2))) (+.f64 (/.f64 1 alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 beta) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 4))) (+.f64 (/.f64 1 alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3)))))
(+.f64 2 alpha)
(+.f64 2 (+.f64 alpha beta))
(+.f64 2 (+.f64 alpha beta))
(+.f64 2 (+.f64 alpha beta))
beta
(+.f64 2 (+.f64 alpha beta))
(+.f64 2 (+.f64 alpha beta))
(+.f64 2 (+.f64 alpha beta))
beta
(+.f64 2 (+.f64 alpha beta))
(+.f64 2 (+.f64 alpha beta))
(+.f64 2 (+.f64 alpha beta))
(+.f64 2 beta)
(+.f64 2 (+.f64 alpha beta))
(+.f64 2 (+.f64 alpha beta))
(+.f64 2 (+.f64 alpha beta))
alpha
(+.f64 2 (+.f64 alpha beta))
(+.f64 2 (+.f64 alpha beta))
(+.f64 2 (+.f64 alpha beta))
alpha
(+.f64 2 (+.f64 alpha beta))
(+.f64 2 (+.f64 alpha beta))
(+.f64 2 (+.f64 alpha beta))
1
(+.f64 1 (*.f64 1/2 beta))
(+.f64 1 (+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/2 beta)))
(+.f64 1 (+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (+.f64 (*.f64 1/8 (pow.f64 beta 3)) (*.f64 1/2 beta))))
2
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 8 (/.f64 1 (pow.f64 beta 3)))))
2
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 8 (/.f64 1 (pow.f64 beta 3)))))
(*.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)))))
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)))))
(/.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 2 (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 2 (*.f64 -2 (/.f64 alpha beta))) (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 2 (*.f64 -2 (/.f64 alpha beta))) (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 2 (*.f64 -2 (/.f64 alpha beta))) (*.f64 2 (/.f64 1 beta)))
(*.f64 -2 (/.f64 alpha beta))
(-.f64 (+.f64 2 (*.f64 -2 (/.f64 alpha beta))) (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 2 (*.f64 -2 (/.f64 alpha beta))) (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 2 (*.f64 -2 (/.f64 alpha beta))) (*.f64 2 (/.f64 1 beta)))
(*.f64 -2 (/.f64 alpha beta))
(-.f64 (+.f64 2 (*.f64 -2 (/.f64 alpha beta))) (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 2 (*.f64 -2 (/.f64 alpha beta))) (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 2 (*.f64 -2 (/.f64 alpha beta))) (*.f64 2 (/.f64 1 beta)))
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta))
(+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)))
(+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)))
(+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)))
2
(+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)))
(+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)))
(+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)))
2
(+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)))
(+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)))
(+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)
(+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) 1)
(*.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1)
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 2) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3) 1) (+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) (-.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))))
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))
(pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 3)
(pow.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 2))
(log.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))))) 1)
(*.f64 1 (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) 1)
(*.f64 -1 (/.f64 1 (+.f64 (neg.f64 (+.f64 beta alpha)) -2)))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))) (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)))
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(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 alpha 2 2) beta)) 2) (cbrt.f64 (/.f64 (fma.f64 alpha 2 2) beta)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 alpha 2 2) beta)) 2) (neg.f64 (cbrt.f64 (/.f64 (fma.f64 alpha 2 2) beta))))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 alpha 2 2) beta)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 alpha 2 2) beta)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 alpha 2 2)) 2) (*.f64 (cbrt.f64 (fma.f64 alpha 2 2)) (/.f64 1 beta)))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 alpha 2 2) beta)) (sqrt.f64 (/.f64 (fma.f64 alpha 2 2) beta)))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 alpha 2 2) beta)) (neg.f64 (sqrt.f64 (/.f64 (fma.f64 alpha 2 2) beta))))
(*.f64 (sqrt.f64 (fma.f64 alpha 2 2)) (*.f64 (sqrt.f64 (fma.f64 alpha 2 2)) (/.f64 1 beta)))
(*.f64 (*.f64 (+.f64 alpha 1) -2) (/.f64 1 beta))
(*.f64 (*.f64 (+.f64 alpha 1) -2) (/.f64 1 (neg.f64 beta)))
(*.f64 (/.f64 1 beta) (fma.f64 alpha 2 2))
(*.f64 (+.f64 alpha 1) (*.f64 2 (/.f64 1 beta)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (fma.f64 alpha 2 2) (cbrt.f64 beta)))
(*.f64 (/.f64 1 (sqrt.f64 beta)) (/.f64 (fma.f64 alpha 2 2) (sqrt.f64 beta)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 alpha 2 2)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 alpha 2 2)) beta))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 alpha 2 2)) 2) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 (/.f64 (fma.f64 alpha 2 2) beta)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 alpha 2 2)) 2) (sqrt.f64 beta)) (/.f64 (cbrt.f64 (fma.f64 alpha 2 2)) (sqrt.f64 beta)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 alpha 2 2)) 1) (/.f64 (sqrt.f64 (fma.f64 alpha 2 2)) beta))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 alpha 2 2)) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (sqrt.f64 (fma.f64 alpha 2 2)) (cbrt.f64 beta)))
(*.f64 (/.f64 (+.f64 alpha 1) 1) (/.f64 2 beta))
(*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 2 (cbrt.f64 beta)))
(*.f64 (/.f64 (+.f64 alpha 1) (sqrt.f64 beta)) (/.f64 2 (sqrt.f64 beta)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (fma.f64 alpha 2 2) beta))) (sqrt.f64 (/.f64 (fma.f64 alpha 2 2) beta)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 alpha 2 2) beta)) 2)) (cbrt.f64 (/.f64 (fma.f64 alpha 2 2) beta)))
(*.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 alpha 2 2) beta)) 2)) (cbrt.f64 (/.f64 (fma.f64 alpha 2 2) beta)))
(*.f64 (*.f64 -1 (sqrt.f64 (/.f64 (fma.f64 alpha 2 2) beta))) (sqrt.f64 (/.f64 (fma.f64 alpha 2 2) beta)))
(pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 1)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 alpha 2 2) beta)) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 alpha 2 2) beta)) 2)
(pow.f64 (/.f64 beta (fma.f64 alpha 2 2)) -1)
(neg.f64 (/.f64 (fma.f64 alpha 2 2) beta))
(neg.f64 (/.f64 (fma.f64 alpha 2 2) (neg.f64 beta)))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 alpha 2 2) beta)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 alpha 2 2) beta))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 alpha 2 2) 3) (pow.f64 beta 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 alpha 2 2) beta)))
(exp.f64 (log.f64 (/.f64 (fma.f64 alpha 2 2) beta)))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 alpha 2 2) beta)) 1))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 alpha 2 2) beta)))
(-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))
(-.f64 0 (-.f64 (/.f64 (fma.f64 alpha 2 2) beta) 2))
(-.f64 (exp.f64 (log1p.f64 (+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)))) 1)
(-.f64 (/.f64 4 (+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))) (/.f64 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 2) (+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))))
(*.f64 1 (+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)))
(*.f64 (+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) 1)
(*.f64 (cbrt.f64 (+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))) (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))) 2) (cbrt.f64 (+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))))
(*.f64 (sqrt.f64 (+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))) (sqrt.f64 (+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))))
(*.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 3) 8) (/.f64 1 (+.f64 4 (*.f64 (/.f64 (fma.f64 alpha 2 2) beta) (-.f64 (/.f64 (fma.f64 alpha 2 2) beta) 2)))))
(*.f64 (+.f64 4 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 2)) (/.f64 1 (+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))))
(/.f64 1 (/.f64 (+.f64 4 (*.f64 (/.f64 (fma.f64 alpha 2 2) beta) (-.f64 (/.f64 (fma.f64 alpha 2 2) beta) 2))) (+.f64 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 3) 8)))
(/.f64 1 (/.f64 (+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) (+.f64 4 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 2))))
(/.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 3) 8) (+.f64 4 (*.f64 (/.f64 (fma.f64 alpha 2 2) beta) (-.f64 (/.f64 (fma.f64 alpha 2 2) beta) 2))))
(/.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 3) 8) (+.f64 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 2) (-.f64 4 (*.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)))))
(/.f64 (+.f64 4 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 2)) (+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 3) 8)) (neg.f64 (+.f64 4 (*.f64 (/.f64 (fma.f64 alpha 2 2) beta) (-.f64 (/.f64 (fma.f64 alpha 2 2) beta) 2)))))
(/.f64 (neg.f64 (+.f64 4 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 2))) (neg.f64 (+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))))
(/.f64 (-.f64 8 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 3)) (+.f64 4 (*.f64 (/.f64 (fma.f64 alpha 2 2) beta) (-.f64 (/.f64 (fma.f64 alpha 2 2) beta) 2))))
(/.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 2) 4) (-.f64 (/.f64 (fma.f64 alpha 2 2) beta) 2))
(pow.f64 (+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) 1)
(pow.f64 (cbrt.f64 (+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))) 3)
(pow.f64 (pow.f64 (+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))) 2)
(sqrt.f64 (pow.f64 (+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) 2))
(log.f64 (exp.f64 (+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)))))
(cbrt.f64 (pow.f64 (+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) 3))
(expm1.f64 (log1p.f64 (+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))))
(exp.f64 (log.f64 (+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))))
(exp.f64 (*.f64 (log.f64 (+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))) 1))
(log1p.f64 (expm1.f64 (+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))))
(fma.f64 1 (/.f64 (fma.f64 alpha 2 2) beta) 2)
(fma.f64 -1 (/.f64 (fma.f64 alpha 2 2) beta) 2)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 alpha 2 2) beta)) 2) (cbrt.f64 (/.f64 (fma.f64 alpha 2 2) beta)) 2)
(fma.f64 (sqrt.f64 (/.f64 (fma.f64 alpha 2 2) beta)) (sqrt.f64 (/.f64 (fma.f64 alpha 2 2) beta)) 2)
Outputs
(+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))))
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))))
(+.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (*.f64 beta (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)))))
(+.f64 1 (fma.f64 beta (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (+.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 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (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 (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 beta (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))))) (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (+.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 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (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 (fma.f64 beta (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 (pow.f64 beta 2) (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)))))) (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))
2
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (*.f64 -1 (/.f64 (+.f64 2 alpha) beta))))
(+.f64 2 (*.f64 -1 (+.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta))))
(+.f64 2 (-.f64 (/.f64 (-.f64 -2 alpha) beta) (/.f64 alpha beta)))
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))))
(+.f64 2 (fma.f64 -1 (/.f64 alpha beta) (fma.f64 -1 (/.f64 (+.f64 alpha 2) beta) (+.f64 (/.f64 alpha (/.f64 (pow.f64 beta 2) (+.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2))))))
(+.f64 2 (+.f64 (-.f64 (/.f64 (-.f64 -2 alpha) beta) (/.f64 alpha beta)) (+.f64 (/.f64 alpha (/.f64 (pow.f64 beta 2) (+.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2)))))
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 (*.f64 -1 (/.f64 (*.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))) (+.f64 (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))))))
(+.f64 2 (fma.f64 -1 (/.f64 alpha beta) (fma.f64 -1 (/.f64 alpha (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 -1 (/.f64 (+.f64 alpha 2) beta) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)) (+.f64 (/.f64 alpha (/.f64 (pow.f64 beta 2) (+.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2))))))))
(+.f64 (-.f64 2 (/.f64 alpha beta)) (-.f64 (+.f64 (-.f64 (/.f64 (-.f64 -2 alpha) beta) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))) (+.f64 (/.f64 alpha (/.f64 (pow.f64 beta 2) (+.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2)))) (/.f64 alpha (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 2)))))
2
(+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)))
(-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))
(+.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) (+.f64 (/.f64 alpha (/.f64 (pow.f64 beta 2) (+.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2))))
(+.f64 (+.f64 (/.f64 alpha (/.f64 (pow.f64 beta 2) (+.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2))) (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)))
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 beta 3))) (+.f64 (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))))
(+.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) (fma.f64 -1 (/.f64 (fma.f64 alpha (pow.f64 (+.f64 alpha 2) 2) (pow.f64 (+.f64 alpha 2) 3)) (pow.f64 beta 3)) (+.f64 (/.f64 alpha (/.f64 (pow.f64 beta 2) (+.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2)))))
(+.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) (-.f64 (+.f64 (/.f64 alpha (/.f64 (pow.f64 beta 2) (+.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2))) (/.f64 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 (+.f64 alpha 2) alpha)) (pow.f64 beta 3))))
(+.f64 1 (/.f64 beta (+.f64 2 beta)))
(+.f64 1 (+.f64 (*.f64 alpha (-.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (/.f64 1 (+.f64 2 beta)))) (/.f64 beta (+.f64 2 beta))))
(+.f64 1 (fma.f64 alpha (-.f64 (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (+.f64 2 beta))) (/.f64 beta (+.f64 2 beta))))
(+.f64 1 (fma.f64 alpha (fma.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 -1 (+.f64 2 beta))) (/.f64 beta (+.f64 2 beta))))
(+.f64 1 (+.f64 (*.f64 alpha (-.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (/.f64 1 (+.f64 2 beta)))) (+.f64 (*.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 (fma.f64 alpha (-.f64 (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (+.f64 2 beta))) (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 (fma.f64 alpha (fma.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 -1 (+.f64 2 beta))) (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 alpha (-.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (/.f64 1 (+.f64 2 beta)))) (+.f64 (*.f64 (pow.f64 alpha 2) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 beta (pow.f64 (+.f64 2 beta) 3)))) (+.f64 (*.f64 (pow.f64 alpha 3) (-.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 4))) (/.f64 1 (pow.f64 (+.f64 2 beta) 3)))) (/.f64 beta (+.f64 2 beta))))))
(+.f64 1 (fma.f64 alpha (-.f64 (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (+.f64 2 beta))) (fma.f64 (pow.f64 alpha 2) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 beta (pow.f64 (+.f64 2 beta) 3))) (fma.f64 (pow.f64 alpha 3) (-.f64 (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 4)) (/.f64 1 (pow.f64 (+.f64 2 beta) 3))) (/.f64 beta (+.f64 2 beta))))))
(+.f64 1 (fma.f64 alpha (fma.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 -1 (+.f64 2 beta))) (fma.f64 (pow.f64 alpha 2) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 beta (pow.f64 (+.f64 2 beta) 3))) (fma.f64 (pow.f64 alpha 3) (fma.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 4)) (/.f64 -1 (pow.f64 (+.f64 2 beta) 3))) (/.f64 beta (+.f64 2 beta))))))
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (fma.f64 2 beta 2) alpha)
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))) (+.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)))))
(fma.f64 -1 (/.f64 beta (/.f64 (pow.f64 alpha 2) (+.f64 2 beta))) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))))
(+.f64 (/.f64 (*.f64 (-.f64 -2 beta) beta) (pow.f64 alpha 2)) (-.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))) (+.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 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)))))))
(fma.f64 -1 (/.f64 beta (/.f64 (pow.f64 alpha 2) (+.f64 2 beta))) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)) (+.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (+.f64 (/.f64 beta (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2))) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3))))))
(+.f64 (+.f64 (/.f64 (*.f64 (-.f64 -2 beta) beta) (pow.f64 alpha 2)) (-.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)))) (+.f64 (/.f64 beta (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2))) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3))))
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(fma.f64 -1 (/.f64 beta (/.f64 (pow.f64 alpha 2) (+.f64 2 beta))) (fma.f64 -1 (/.f64 beta (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 2 beta) 3))) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4)) (+.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (+.f64 (/.f64 beta (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2))) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3))))))))
(+.f64 (-.f64 (/.f64 (*.f64 (-.f64 -2 beta) beta) (pow.f64 alpha 2)) (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 3)) (pow.f64 alpha 4))) (-.f64 (-.f64 (+.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (+.f64 (/.f64 beta (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2))) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)))) (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4))) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))))
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (+.f64 2 beta))) alpha))
(neg.f64 (/.f64 (*.f64 -1 (+.f64 beta (+.f64 2 beta))) alpha))
(/.f64 (neg.f64 (-.f64 (-.f64 -2 beta) beta)) alpha)
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (+.f64 2 beta))) alpha)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)))))
(fma.f64 -1 (/.f64 beta (/.f64 (pow.f64 alpha 2) (+.f64 2 beta))) (fma.f64 -1 (/.f64 (*.f64 -1 (+.f64 beta (+.f64 2 beta))) alpha) (neg.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)))))
(-.f64 (-.f64 (/.f64 (*.f64 (-.f64 -2 beta) beta) (pow.f64 alpha 2)) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (+.f64 2 beta))) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 beta (pow.f64 (+.f64 2 beta) 2))) (*.f64 -1 (pow.f64 (+.f64 2 beta) 3))) (pow.f64 alpha 3))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))))))
(fma.f64 -1 (/.f64 beta (/.f64 (pow.f64 alpha 2) (+.f64 2 beta))) (fma.f64 -1 (/.f64 (*.f64 -1 (+.f64 beta (+.f64 2 beta))) alpha) (*.f64 -1 (+.f64 (/.f64 (*.f64 -1 (+.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 (+.f64 2 beta) 3))) (pow.f64 alpha 3)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))))))
(+.f64 (-.f64 (/.f64 (*.f64 (-.f64 -2 beta) beta) (pow.f64 alpha 2)) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) (-.f64 (/.f64 (*.f64 1 (*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta (+.f64 2 beta)))) (pow.f64 alpha 3)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 3)) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (+.f64 2 beta))) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 beta (pow.f64 (+.f64 2 beta) 2))) (*.f64 -1 (pow.f64 (+.f64 2 beta) 3))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4))))))))
(fma.f64 -1 (/.f64 beta (/.f64 (pow.f64 alpha 2) (+.f64 2 beta))) (fma.f64 -1 (/.f64 beta (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 2 beta) 3))) (fma.f64 -1 (/.f64 (*.f64 -1 (+.f64 beta (+.f64 2 beta))) alpha) (fma.f64 -1 (/.f64 (*.f64 -1 (+.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 (+.f64 2 beta) 3))) (pow.f64 alpha 3)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4))))))))
(+.f64 (-.f64 (/.f64 (*.f64 (-.f64 -2 beta) beta) (pow.f64 alpha 2)) (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 3)) (pow.f64 alpha 4))) (-.f64 (-.f64 (-.f64 (/.f64 (*.f64 1 (*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta (+.f64 2 beta)))) (pow.f64 alpha 3)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4))) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)))
(/.f64 1 (+.f64 2 alpha))
(/.f64 1 (+.f64 alpha 2))
(+.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (/.f64 1 (+.f64 2 alpha)))
(fma.f64 -1 (/.f64 beta (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2)))
(-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 beta (pow.f64 (+.f64 alpha 2) 2)))
(+.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 3))))
(fma.f64 -1 (/.f64 beta (pow.f64 (+.f64 alpha 2) 2)) (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 3))))
(+.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 beta (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 3)))
(+.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 3)))))
(fma.f64 -1 (/.f64 beta (pow.f64 (+.f64 alpha 2) 2)) (fma.f64 -1 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 4)) (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 3)))))
(-.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 3))) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 4))) (/.f64 beta (pow.f64 (+.f64 alpha 2) 2)))
(/.f64 1 beta)
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))) (/.f64 1 beta))
(fma.f64 -1 (/.f64 (+.f64 alpha 2) (pow.f64 beta 2)) (/.f64 1 beta))
(+.f64 (/.f64 1 beta) (/.f64 (-.f64 -2 alpha) (pow.f64 beta 2)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))) (+.f64 (/.f64 1 beta) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3))))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 alpha 2) (pow.f64 beta 2)) (/.f64 1 beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3)))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 (-.f64 -2 alpha) (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 4))) (+.f64 (/.f64 1 beta) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3)))))
(fma.f64 -1 (/.f64 (+.f64 alpha 2) (pow.f64 beta 2)) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 4)) (+.f64 (/.f64 1 beta) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3)))))
(+.f64 (/.f64 (-.f64 -2 alpha) (pow.f64 beta 2)) (-.f64 (+.f64 (/.f64 1 beta) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3))) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 4))))
(/.f64 1 beta)
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))) (/.f64 1 beta))
(fma.f64 -1 (/.f64 (+.f64 alpha 2) (pow.f64 beta 2)) (/.f64 1 beta))
(+.f64 (/.f64 1 beta) (/.f64 (-.f64 -2 alpha) (pow.f64 beta 2)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))) (+.f64 (/.f64 1 beta) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3))))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 alpha 2) (pow.f64 beta 2)) (/.f64 1 beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3)))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 (-.f64 -2 alpha) (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 4))) (+.f64 (/.f64 1 beta) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3)))))
(fma.f64 -1 (/.f64 (+.f64 alpha 2) (pow.f64 beta 2)) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 4)) (+.f64 (/.f64 1 beta) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3)))))
(+.f64 (/.f64 (-.f64 -2 alpha) (pow.f64 beta 2)) (-.f64 (+.f64 (/.f64 1 beta) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3))) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 4))))
(/.f64 1 (+.f64 2 beta))
(+.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 beta) 2))) (/.f64 1 (+.f64 2 beta)))
(fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (+.f64 2 beta)))
(-.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 alpha (pow.f64 (+.f64 2 beta) 2)))
(+.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 beta) 2))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 beta) 3))))
(+.f64 (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (+.f64 2 beta))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 beta) 3)))
(+.f64 (-.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 alpha (pow.f64 (+.f64 2 beta) 2))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 beta) 3)))
(+.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 beta) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 4))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 beta) 3)))))
(fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 beta) 2)) (fma.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 4)) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 beta) 3)) (/.f64 1 (+.f64 2 beta)))))
(-.f64 (-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 beta) 3)) (/.f64 1 (+.f64 2 beta))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 4))) (/.f64 alpha (pow.f64 (+.f64 2 beta) 2)))
(/.f64 1 alpha)
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 beta) (pow.f64 alpha 2))) (/.f64 1 alpha))
(fma.f64 -1 (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)) (/.f64 1 alpha))
(+.f64 (/.f64 1 alpha) (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 beta) (pow.f64 alpha 2))) (+.f64 (/.f64 1 alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3))))
(fma.f64 -1 (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)) (+.f64 (/.f64 1 alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3))))
(+.f64 (/.f64 1 alpha) (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3)) (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 beta) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 4))) (+.f64 (/.f64 1 alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3)))))
(fma.f64 -1 (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 4)) (+.f64 (/.f64 1 alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3)))))
(+.f64 (-.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 4))) (+.f64 (/.f64 1 alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3))))
(/.f64 1 alpha)
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 beta) (pow.f64 alpha 2))) (/.f64 1 alpha))
(fma.f64 -1 (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)) (/.f64 1 alpha))
(+.f64 (/.f64 1 alpha) (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 beta) (pow.f64 alpha 2))) (+.f64 (/.f64 1 alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3))))
(fma.f64 -1 (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)) (+.f64 (/.f64 1 alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3))))
(+.f64 (/.f64 1 alpha) (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3)) (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 beta) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 4))) (+.f64 (/.f64 1 alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3)))))
(fma.f64 -1 (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 4)) (+.f64 (/.f64 1 alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3)))))
(+.f64 (-.f64 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 4))) (+.f64 (/.f64 1 alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3))))
(+.f64 2 alpha)
(+.f64 alpha 2)
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(+.f64 beta (+.f64 alpha 2))
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(+.f64 beta (+.f64 alpha 2))
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(+.f64 beta (+.f64 alpha 2))
beta
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(+.f64 beta (+.f64 alpha 2))
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(+.f64 beta (+.f64 alpha 2))
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(+.f64 beta (+.f64 alpha 2))
beta
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(+.f64 beta (+.f64 alpha 2))
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(+.f64 beta (+.f64 alpha 2))
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(+.f64 beta (+.f64 alpha 2))
(+.f64 2 beta)
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(+.f64 beta (+.f64 alpha 2))
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(+.f64 beta (+.f64 alpha 2))
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(+.f64 beta (+.f64 alpha 2))
alpha
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(+.f64 beta (+.f64 alpha 2))
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(+.f64 beta (+.f64 alpha 2))
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(+.f64 beta (+.f64 alpha 2))
alpha
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(+.f64 beta (+.f64 alpha 2))
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(+.f64 beta (+.f64 alpha 2))
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(+.f64 beta (+.f64 alpha 2))
1
(+.f64 1 (*.f64 1/2 beta))
(+.f64 1 (*.f64 beta 1/2))
(fma.f64 beta 1/2 1)
(+.f64 1 (+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/2 beta)))
(+.f64 1 (fma.f64 -1/4 (pow.f64 beta 2) (*.f64 beta 1/2)))
(+.f64 (fma.f64 beta 1/2 1) (*.f64 (pow.f64 beta 2) -1/4))
(+.f64 1 (+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (+.f64 (*.f64 1/8 (pow.f64 beta 3)) (*.f64 1/2 beta))))
(+.f64 1 (fma.f64 -1/4 (pow.f64 beta 2) (fma.f64 1/8 (pow.f64 beta 3) (*.f64 beta 1/2))))
(+.f64 (fma.f64 (pow.f64 beta 2) -1/4 (*.f64 (pow.f64 beta 3) 1/8)) (fma.f64 beta 1/2 1))
2
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(-.f64 2 (/.f64 2 beta))
(+.f64 2 (/.f64 -2 beta))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta)))
(+.f64 2 (-.f64 (/.f64 4 (pow.f64 beta 2)) (/.f64 2 beta)))
(+.f64 2 (+.f64 (/.f64 4 (pow.f64 beta 2)) (/.f64 -2 beta)))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 8 (/.f64 1 (pow.f64 beta 3)))))
(+.f64 2 (-.f64 (/.f64 4 (pow.f64 beta 2)) (+.f64 (/.f64 2 beta) (/.f64 8 (pow.f64 beta 3)))))
(+.f64 2 (-.f64 (+.f64 (/.f64 4 (pow.f64 beta 2)) (/.f64 -2 beta)) (/.f64 8 (pow.f64 beta 3))))
2
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(-.f64 2 (/.f64 2 beta))
(+.f64 2 (/.f64 -2 beta))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta)))
(+.f64 2 (-.f64 (/.f64 4 (pow.f64 beta 2)) (/.f64 2 beta)))
(+.f64 2 (+.f64 (/.f64 4 (pow.f64 beta 2)) (/.f64 -2 beta)))
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1
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1
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1
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1
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1
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2
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2
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(/.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 2) 4) (-.f64 (/.f64 (fma.f64 alpha 2 2) beta) 2))
(/.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 2) -4) (+.f64 (/.f64 (fma.f64 alpha 2 2) beta) -2))
(pow.f64 (+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) 1)
(+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))
(pow.f64 (cbrt.f64 (+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))) 3)
(+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))
(pow.f64 (pow.f64 (+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) 3) 1/3)
(+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))
(pow.f64 (sqrt.f64 (+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))) 2)
(+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))
(sqrt.f64 (pow.f64 (+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) 2))
(fabs.f64 (+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)))
(log.f64 (exp.f64 (+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))))
(+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)))))
(+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))
(cbrt.f64 (pow.f64 (+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) 3))
(+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))
(expm1.f64 (log1p.f64 (+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))))
(+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))
(exp.f64 (log.f64 (+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))))
(+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))
(exp.f64 (*.f64 (log.f64 (+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))) 1))
(+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))
(log1p.f64 (expm1.f64 (+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))))
(+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))
(fma.f64 1 (/.f64 (fma.f64 alpha 2 2) beta) 2)
(+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))
(fma.f64 -1 (/.f64 (fma.f64 alpha 2 2) beta) 2)
(-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 alpha 2 2) beta)) 2) (cbrt.f64 (/.f64 (fma.f64 alpha 2 2) beta)) 2)
(+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))
(fma.f64 (sqrt.f64 (/.f64 (fma.f64 alpha 2 2) beta)) (sqrt.f64 (/.f64 (fma.f64 alpha 2 2) beta)) 2)
(+.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))

eval295.0ms (3.9%)

Compiler

Compiled 12795 to 9729 computations (24% saved)

prune124.0ms (1.6%)

Pruning

15 alts after pruning (12 fresh and 3 done)

PrunedKeptTotal
New61510625
Fresh527
Picked235
Done000
Total62215637
Accuracy
100.0%
Counts
637 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.2%
(/.f64 (/.f64 (-.f64 1 (*.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (-.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) 2)
27.6%
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
22.0%
(/.f64 (/.f64 2 alpha) 2)
44.0%
(/.f64 (/.f64 1 (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) -1) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1))) 2)
20.6%
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (pow.f64 alpha 2))) 2)
32.9%
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
49.2%
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
46.9%
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
35.6%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) beta) 1) 2)
74.5%
(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
21.2%
(/.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (pow.f64 alpha 2)))) 2)
44.4%
(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
35.7%
(/.f64 (+.f64 2 (neg.f64 (/.f64 (*.f64 alpha 2) beta))) 2)
40.1%
(/.f64 2 2)
48.6%
(/.f64 1 2)
Compiler

Compiled 339 to 279 computations (17.7% saved)

localize258.0ms (3.4%)

Localize:

Found 6 expressions with local error:

NewAccuracyProgram
100.0%
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
100.0%
(-.f64 2 (/.f64 2 beta))
100.0%
(-.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))
100.0%
(*.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))
100.0%
(/.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))))
71.1%
(-.f64 1 (*.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))
Compiler

Compiled 171 to 116 computations (32.2% saved)

series9.0ms (0.1%)

Counts
6 → 72
Calls

21 calls:

TimeVariablePointExpression
3.0ms
alpha
@inf
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
1.0ms
alpha
@inf
(-.f64 1 (*.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))
1.0ms
alpha
@0
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
0.0ms
alpha
@-inf
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
0.0ms
alpha
@-inf
(-.f64 1 (*.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))

rewrite222.0ms (2.9%)

Algorithm
batch-egg-rewrite
Rules
683×log1p-expm1-u
576×expm1-udef
576×log1p-udef
240×associate-*r*
179×expm1-log1p-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022243
1381143
26264143
Stop Event
node limit
Counts
6 → 231
Calls
Call 1
Inputs
(-.f64 1 (*.f64 (/.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))))
(*.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))
(-.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))
(-.f64 2 (/.f64 2 beta))
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
Outputs
(+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))
(+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) 1)
(*.f64 1 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))
(*.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) 1)
(*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) 2) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))
(*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 6)) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 4)))))
(*.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 4)) (/.f64 1 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 4))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 6))))
(/.f64 1 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 4))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 6)) (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 4))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 4)) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 6))) (neg.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 4)))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 4))) (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))
(/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 6)) (+.f64 1 (-.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 4) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))
(pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) 3)
(pow.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) 2))
(log.f64 (exp.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))
(cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))
(exp.f64 (log1p.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))
(exp.f64 (*.f64 (log1p.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))
(+.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(+.f64 (/.f64 alpha (+.f64 alpha 2)) 1)
(+.f64 (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (neg.f64 (/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))))
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(-.f64 (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) 1)
(-.f64 (/.f64 1 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) (/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))
(*.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(*.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(*.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) 2) (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))))
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2))
(*.f64 (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 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (/.f64 1 (+.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)) 2)) (/.f64 1 (+.f64 -1 (/.f64 alpha (+.f64 alpha 2)))))
(*.f64 (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))
(*.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2)) (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (cbrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (sqrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) 2) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2)) (cbrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) 2) (sqrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (sqrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) 1) (/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2)) (/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (cbrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))
(pow.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1)
(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)
(pow.f64 (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) -1)
(neg.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 -1 (/.f64 alpha (+.f64 alpha 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))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) 3) (pow.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3)))
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(exp.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha 2))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha 2))) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(-.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) 1)
(-.f64 0 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))
(/.f64 1 (*.f64 (/.f64 (+.f64 alpha 2) alpha) (/.f64 (+.f64 alpha 2) alpha)))
(/.f64 1 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 alpha 2)))
(/.f64 1 (/.f64 (+.f64 alpha 2) (/.f64 (pow.f64 alpha 2) (+.f64 alpha 2))))
(/.f64 alpha (*.f64 (+.f64 alpha 2) (/.f64 (+.f64 alpha 2) alpha)))
(/.f64 alpha (*.f64 (/.f64 (+.f64 alpha 2) alpha) (+.f64 alpha 2)))
(/.f64 alpha (*.f64 (/.f64 (+.f64 alpha 2) alpha) (+.f64 alpha -2)))
(/.f64 alpha (*.f64 (+.f64 alpha -2) (/.f64 (+.f64 alpha 2) alpha)))
(/.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 2) alpha))
(/.f64 alpha (/.f64 (+.f64 alpha 2) (/.f64 alpha (+.f64 alpha 2))))
(/.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 (+.f64 alpha 2) alpha))
(/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2))
(/.f64 (pow.f64 alpha 2) (*.f64 (+.f64 alpha -2) (+.f64 alpha -2)))
(/.f64 (pow.f64 alpha 2) (*.f64 (+.f64 alpha 2) (+.f64 alpha -2)))
(/.f64 (pow.f64 alpha 2) (*.f64 (+.f64 alpha -2) (+.f64 alpha 2)))
(/.f64 (pow.f64 alpha 2) (neg.f64 (pow.f64 (+.f64 alpha 2) 2)))
(/.f64 (/.f64 (pow.f64 alpha 2) (+.f64 alpha 2)) (+.f64 alpha 2))
(/.f64 (/.f64 (pow.f64 alpha 2) (+.f64 alpha 2)) (+.f64 alpha -2))
(/.f64 (/.f64 (/.f64 (pow.f64 alpha 2) (+.f64 alpha 2)) 1) (+.f64 alpha 2))
(/.f64 (/.f64 (/.f64 (pow.f64 alpha 2) (+.f64 alpha 2)) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (+.f64 alpha 2)))
(/.f64 (/.f64 (/.f64 (pow.f64 alpha 2) (+.f64 alpha 2)) (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 alpha 2)))
(pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)
(pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) 1)
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2) 3)
(pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 6) 1/3)
(neg.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))
(sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 4))
(log.f64 (exp.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))
(log.f64 (/.f64 1 (exp.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))
(cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 6))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))
(exp.f64 (log.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))
(exp.f64 (*.f64 (log.f64 (/.f64 alpha (+.f64 alpha 2))) 2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))
(+.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(+.f64 (/.f64 alpha (+.f64 alpha 2)) 1)
(+.f64 (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (neg.f64 (/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))))
(*.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(*.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(*.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) 2) (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))))
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2))
(*.f64 (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 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (/.f64 1 (+.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)) 2)) (/.f64 1 (+.f64 -1 (/.f64 alpha (+.f64 alpha 2)))))
(*.f64 (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))
(*.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2)) (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (cbrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (sqrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) 2) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2)) (cbrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) 2) (sqrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (sqrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) 1) (/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2)) (/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (cbrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))
(/.f64 1 (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(/.f64 1 (/.f64 (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 1))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) 2) (/.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (/.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 -1 (/.f64 alpha (+.f64 alpha 2))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 6)) (*.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 4)))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))
(/.f64 -1 (neg.f64 (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 4)) (*.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))
(/.f64 (-.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (*.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (pow.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 6)) 1) (*.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 4))) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 4)) 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)) 2))) (neg.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha 2)))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (neg.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (sqrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (sqrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(/.f64 (-.f64 (pow.f64 (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 3) (pow.f64 (/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 3)) (+.f64 (*.f64 (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (+.f64 (*.f64 (/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (*.f64 (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))))))
(/.f64 (-.f64 (*.f64 (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (*.f64 (/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))) (+.f64 (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 6)) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 4))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 4)) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) 1) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2)) (cbrt.f64 (+.f64 1 (/.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)
(pow.f64 (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) -1)
(neg.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 -1 (/.f64 alpha (+.f64 alpha 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))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) 3) (pow.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3)))
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(exp.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha 2))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha 2))) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(+.f64 2 (/.f64 -2 beta))
(+.f64 2 (*.f64 (/.f64 -2 beta) 1))
(+.f64 (/.f64 -2 beta) 2)
(*.f64 1 (+.f64 2 (/.f64 -2 beta)))
(*.f64 (+.f64 2 (/.f64 -2 beta)) 1)
(*.f64 (cbrt.f64 (+.f64 2 (/.f64 -2 beta))) (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 -2 beta))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 -2 beta))) 2) (cbrt.f64 (+.f64 2 (/.f64 -2 beta))))
(*.f64 (sqrt.f64 (+.f64 2 (/.f64 -2 beta))) (sqrt.f64 (+.f64 2 (/.f64 -2 beta))))
(*.f64 (-.f64 8 (/.f64 8 (pow.f64 beta 3))) (/.f64 1 (+.f64 4 (+.f64 (/.f64 4 (pow.f64 beta 2)) (/.f64 4 beta)))))
(*.f64 (-.f64 4 (/.f64 4 (pow.f64 beta 2))) (/.f64 1 (+.f64 2 (/.f64 2 beta))))
(/.f64 1 (/.f64 (+.f64 4 (+.f64 (/.f64 4 (pow.f64 beta 2)) (/.f64 4 beta))) (-.f64 8 (/.f64 8 (pow.f64 beta 3)))))
(/.f64 1 (/.f64 (+.f64 2 (/.f64 2 beta)) (-.f64 4 (/.f64 4 (pow.f64 beta 2)))))
(/.f64 (-.f64 8 (/.f64 8 (pow.f64 beta 3))) (+.f64 4 (+.f64 (/.f64 4 (pow.f64 beta 2)) (/.f64 4 beta))))
(/.f64 (-.f64 4 (/.f64 4 (pow.f64 beta 2))) (+.f64 2 (/.f64 2 beta)))
(/.f64 (neg.f64 (-.f64 8 (/.f64 8 (pow.f64 beta 3)))) (neg.f64 (+.f64 4 (+.f64 (/.f64 4 (pow.f64 beta 2)) (/.f64 4 beta)))))
(/.f64 (neg.f64 (-.f64 4 (/.f64 4 (pow.f64 beta 2)))) (neg.f64 (+.f64 2 (/.f64 2 beta))))
(/.f64 (+.f64 8 (pow.f64 (/.f64 -2 beta) 3)) (+.f64 4 (-.f64 (*.f64 (/.f64 -2 beta) (/.f64 -2 beta)) (*.f64 2 (/.f64 -2 beta)))))
(/.f64 (-.f64 4 (*.f64 (/.f64 -2 beta) (/.f64 -2 beta))) (-.f64 2 (/.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)
(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))))
(exp.f64 (log.f64 (+.f64 2 (/.f64 -2 beta))))
(exp.f64 (*.f64 (log.f64 (+.f64 2 (/.f64 -2 beta))) 1))
(log1p.f64 (expm1.f64 (+.f64 2 (/.f64 -2 beta))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 2 beta 2) alpha))) 1)
(*.f64 1 (/.f64 (fma.f64 2 beta 2) alpha))
(*.f64 (fma.f64 2 beta 2) (/.f64 1 alpha))
(*.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1)
(*.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2) (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (*.f64 (cbrt.f64 (fma.f64 2 beta 2)) (/.f64 1 alpha)))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)))
(*.f64 (sqrt.f64 (fma.f64 2 beta 2)) (*.f64 (sqrt.f64 (fma.f64 2 beta 2)) (/.f64 1 alpha)))
(*.f64 (neg.f64 (fma.f64 2 beta 2)) (/.f64 1 alpha))
(*.f64 (/.f64 1 alpha) (fma.f64 2 beta 2))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (fma.f64 2 beta 2) (cbrt.f64 alpha)))
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (fma.f64 2 beta 2) (sqrt.f64 alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 2 beta 2)) alpha))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (fma.f64 2 beta 2)) (sqrt.f64 alpha)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) 1) (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) alpha))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) (cbrt.f64 alpha)))
(pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2)
(pow.f64 (/.f64 alpha (fma.f64 2 beta 2)) -1)
(neg.f64 (/.f64 (fma.f64 2 beta 2) alpha))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 2 beta 2) alpha)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 2 beta 2) alpha))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 2 beta 2) 3) (pow.f64 alpha 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 2 beta 2) alpha)))
(exp.f64 (log.f64 (/.f64 (fma.f64 2 beta 2) alpha)))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 1))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 2 beta 2) alpha)))

simplify195.0ms (2.5%)

Algorithm
egg-herbie
Rules
680×times-frac
600×fma-neg
526×fma-def
506×cube-prod
424×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
051812765
1130812006
2566812006
Stop Event
node limit
Counts
303 → 322
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1/4 (pow.f64 alpha 2)))
(+.f64 1 (+.f64 (*.f64 -1/4 (pow.f64 alpha 2)) (*.f64 1/4 (pow.f64 alpha 3))))
(+.f64 1 (+.f64 (*.f64 -1/4 (pow.f64 alpha 2)) (+.f64 (*.f64 -3/16 (pow.f64 alpha 4)) (*.f64 1/4 (pow.f64 alpha 3)))))
(/.f64 4 alpha)
(-.f64 (*.f64 4 (/.f64 1 alpha)) (*.f64 12 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 alpha))) (*.f64 12 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 alpha))) (+.f64 (*.f64 12 (/.f64 1 (pow.f64 alpha 2))) (*.f64 80 (/.f64 1 (pow.f64 alpha 4)))))
(/.f64 4 alpha)
(-.f64 (*.f64 4 (/.f64 1 alpha)) (*.f64 12 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 alpha))) (*.f64 12 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 alpha))) (+.f64 (*.f64 12 (/.f64 1 (pow.f64 alpha 2))) (*.f64 80 (/.f64 1 (pow.f64 alpha 4)))))
1
(+.f64 1 (*.f64 -1/2 alpha))
(+.f64 1 (+.f64 (*.f64 -1/2 alpha) (*.f64 1/4 (pow.f64 alpha 2))))
(+.f64 1 (+.f64 (*.f64 -1/2 alpha) (+.f64 (*.f64 -1/8 (pow.f64 alpha 3)) (*.f64 1/4 (pow.f64 alpha 2)))))
(/.f64 2 alpha)
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 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 1/4 (pow.f64 alpha 2))
(+.f64 (*.f64 -1/4 (pow.f64 alpha 3)) (*.f64 1/4 (pow.f64 alpha 2)))
(+.f64 (*.f64 -1/4 (pow.f64 alpha 3)) (+.f64 (*.f64 3/16 (pow.f64 alpha 4)) (*.f64 1/4 (pow.f64 alpha 2))))
(+.f64 (*.f64 -1/4 (pow.f64 alpha 3)) (+.f64 (*.f64 -1/8 (pow.f64 alpha 5)) (+.f64 (*.f64 3/16 (pow.f64 alpha 4)) (*.f64 1/4 (pow.f64 alpha 2)))))
1
(-.f64 1 (*.f64 4 (/.f64 1 alpha)))
(-.f64 (+.f64 1 (*.f64 12 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 4 (/.f64 1 alpha)))
(-.f64 (+.f64 1 (*.f64 12 (/.f64 1 (pow.f64 alpha 2)))) (+.f64 (*.f64 4 (/.f64 1 alpha)) (*.f64 32 (/.f64 1 (pow.f64 alpha 3)))))
1
(-.f64 1 (*.f64 4 (/.f64 1 alpha)))
(-.f64 (+.f64 1 (*.f64 12 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 4 (/.f64 1 alpha)))
(-.f64 (+.f64 1 (*.f64 12 (/.f64 1 (pow.f64 alpha 2)))) (+.f64 (*.f64 4 (/.f64 1 alpha)) (*.f64 32 (/.f64 1 (pow.f64 alpha 3)))))
1
(+.f64 1 (*.f64 1/2 alpha))
(+.f64 1 (+.f64 (*.f64 -1/4 (pow.f64 alpha 2)) (*.f64 1/2 alpha)))
(+.f64 1 (+.f64 (*.f64 -1/4 (pow.f64 alpha 2)) (+.f64 (*.f64 1/8 (pow.f64 alpha 3)) (*.f64 1/2 alpha))))
2
(-.f64 2 (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 2 (/.f64 1 alpha)))
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(/.f64 -1 (neg.f64 (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 4)) (*.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))
(/.f64 (-.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (*.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (pow.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 6)) 1) (*.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 4))) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 4)) 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)) 2))) (neg.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha 2)))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (neg.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (sqrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (sqrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(/.f64 (-.f64 (pow.f64 (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 3) (pow.f64 (/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 3)) (+.f64 (*.f64 (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (+.f64 (*.f64 (/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (*.f64 (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))))))
(/.f64 (-.f64 (*.f64 (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (*.f64 (/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))) (+.f64 (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 6)) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 4))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 4)) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) 1) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2)) (cbrt.f64 (+.f64 1 (/.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)
(pow.f64 (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) -1)
(neg.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 -1 (/.f64 alpha (+.f64 alpha 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))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) 3) (pow.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3)))
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(exp.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha 2))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha 2))) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(+.f64 2 (/.f64 -2 beta))
(+.f64 2 (*.f64 (/.f64 -2 beta) 1))
(+.f64 (/.f64 -2 beta) 2)
(*.f64 1 (+.f64 2 (/.f64 -2 beta)))
(*.f64 (+.f64 2 (/.f64 -2 beta)) 1)
(*.f64 (cbrt.f64 (+.f64 2 (/.f64 -2 beta))) (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 -2 beta))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 -2 beta))) 2) (cbrt.f64 (+.f64 2 (/.f64 -2 beta))))
(*.f64 (sqrt.f64 (+.f64 2 (/.f64 -2 beta))) (sqrt.f64 (+.f64 2 (/.f64 -2 beta))))
(*.f64 (-.f64 8 (/.f64 8 (pow.f64 beta 3))) (/.f64 1 (+.f64 4 (+.f64 (/.f64 4 (pow.f64 beta 2)) (/.f64 4 beta)))))
(*.f64 (-.f64 4 (/.f64 4 (pow.f64 beta 2))) (/.f64 1 (+.f64 2 (/.f64 2 beta))))
(/.f64 1 (/.f64 (+.f64 4 (+.f64 (/.f64 4 (pow.f64 beta 2)) (/.f64 4 beta))) (-.f64 8 (/.f64 8 (pow.f64 beta 3)))))
(/.f64 1 (/.f64 (+.f64 2 (/.f64 2 beta)) (-.f64 4 (/.f64 4 (pow.f64 beta 2)))))
(/.f64 (-.f64 8 (/.f64 8 (pow.f64 beta 3))) (+.f64 4 (+.f64 (/.f64 4 (pow.f64 beta 2)) (/.f64 4 beta))))
(/.f64 (-.f64 4 (/.f64 4 (pow.f64 beta 2))) (+.f64 2 (/.f64 2 beta)))
(/.f64 (neg.f64 (-.f64 8 (/.f64 8 (pow.f64 beta 3)))) (neg.f64 (+.f64 4 (+.f64 (/.f64 4 (pow.f64 beta 2)) (/.f64 4 beta)))))
(/.f64 (neg.f64 (-.f64 4 (/.f64 4 (pow.f64 beta 2)))) (neg.f64 (+.f64 2 (/.f64 2 beta))))
(/.f64 (+.f64 8 (pow.f64 (/.f64 -2 beta) 3)) (+.f64 4 (-.f64 (*.f64 (/.f64 -2 beta) (/.f64 -2 beta)) (*.f64 2 (/.f64 -2 beta)))))
(/.f64 (-.f64 4 (*.f64 (/.f64 -2 beta) (/.f64 -2 beta))) (-.f64 2 (/.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)
(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))))
(exp.f64 (log.f64 (+.f64 2 (/.f64 -2 beta))))
(exp.f64 (*.f64 (log.f64 (+.f64 2 (/.f64 -2 beta))) 1))
(log1p.f64 (expm1.f64 (+.f64 2 (/.f64 -2 beta))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 2 beta 2) alpha))) 1)
(*.f64 1 (/.f64 (fma.f64 2 beta 2) alpha))
(*.f64 (fma.f64 2 beta 2) (/.f64 1 alpha))
(*.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1)
(*.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2) (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (*.f64 (cbrt.f64 (fma.f64 2 beta 2)) (/.f64 1 alpha)))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)))
(*.f64 (sqrt.f64 (fma.f64 2 beta 2)) (*.f64 (sqrt.f64 (fma.f64 2 beta 2)) (/.f64 1 alpha)))
(*.f64 (neg.f64 (fma.f64 2 beta 2)) (/.f64 1 alpha))
(*.f64 (/.f64 1 alpha) (fma.f64 2 beta 2))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (fma.f64 2 beta 2) (cbrt.f64 alpha)))
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (fma.f64 2 beta 2) (sqrt.f64 alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 2 beta 2)) alpha))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (fma.f64 2 beta 2)) (sqrt.f64 alpha)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) 1) (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) alpha))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) (cbrt.f64 alpha)))
(pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2)
(pow.f64 (/.f64 alpha (fma.f64 2 beta 2)) -1)
(neg.f64 (/.f64 (fma.f64 2 beta 2) alpha))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 2 beta 2) alpha)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 2 beta 2) alpha))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 2 beta 2) 3) (pow.f64 alpha 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 2 beta 2) alpha)))
(exp.f64 (log.f64 (/.f64 (fma.f64 2 beta 2) alpha)))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 1))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 2 beta 2) alpha)))
Outputs
1
(+.f64 1 (*.f64 -1/4 (pow.f64 alpha 2)))
(fma.f64 -1/4 (pow.f64 alpha 2) 1)
(+.f64 1 (+.f64 (*.f64 -1/4 (pow.f64 alpha 2)) (*.f64 1/4 (pow.f64 alpha 3))))
(+.f64 1 (fma.f64 -1/4 (pow.f64 alpha 2) (*.f64 1/4 (pow.f64 alpha 3))))
(+.f64 (fma.f64 -1/4 (pow.f64 alpha 2) 1) (*.f64 1/4 (pow.f64 alpha 3)))
(+.f64 1 (+.f64 (*.f64 -1/4 (pow.f64 alpha 2)) (+.f64 (*.f64 -3/16 (pow.f64 alpha 4)) (*.f64 1/4 (pow.f64 alpha 3)))))
(+.f64 1 (fma.f64 -1/4 (pow.f64 alpha 2) (fma.f64 -3/16 (pow.f64 alpha 4) (*.f64 1/4 (pow.f64 alpha 3)))))
(+.f64 (fma.f64 -1/4 (pow.f64 alpha 2) 1) (fma.f64 1/4 (pow.f64 alpha 3) (*.f64 -3/16 (pow.f64 alpha 4))))
(/.f64 4 alpha)
(-.f64 (*.f64 4 (/.f64 1 alpha)) (*.f64 12 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (/.f64 4 alpha) (/.f64 12 (pow.f64 alpha 2)))
(+.f64 (/.f64 4 alpha) (/.f64 -12 (pow.f64 alpha 2)))
(-.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 alpha))) (*.f64 12 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (/.f64 32 (pow.f64 alpha 3)) (-.f64 (/.f64 4 alpha) (/.f64 12 (pow.f64 alpha 2))))
(+.f64 (/.f64 4 alpha) (+.f64 (/.f64 32 (pow.f64 alpha 3)) (/.f64 -12 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 alpha))) (+.f64 (*.f64 12 (/.f64 1 (pow.f64 alpha 2))) (*.f64 80 (/.f64 1 (pow.f64 alpha 4)))))
(+.f64 (/.f64 32 (pow.f64 alpha 3)) (-.f64 (/.f64 4 alpha) (+.f64 (/.f64 12 (pow.f64 alpha 2)) (/.f64 80 (pow.f64 alpha 4)))))
(-.f64 (+.f64 (/.f64 4 alpha) (+.f64 (/.f64 32 (pow.f64 alpha 3)) (/.f64 -12 (pow.f64 alpha 2)))) (/.f64 80 (pow.f64 alpha 4)))
(/.f64 4 alpha)
(-.f64 (*.f64 4 (/.f64 1 alpha)) (*.f64 12 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (/.f64 4 alpha) (/.f64 12 (pow.f64 alpha 2)))
(+.f64 (/.f64 4 alpha) (/.f64 -12 (pow.f64 alpha 2)))
(-.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 alpha))) (*.f64 12 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (/.f64 32 (pow.f64 alpha 3)) (-.f64 (/.f64 4 alpha) (/.f64 12 (pow.f64 alpha 2))))
(+.f64 (/.f64 4 alpha) (+.f64 (/.f64 32 (pow.f64 alpha 3)) (/.f64 -12 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 alpha))) (+.f64 (*.f64 12 (/.f64 1 (pow.f64 alpha 2))) (*.f64 80 (/.f64 1 (pow.f64 alpha 4)))))
(+.f64 (/.f64 32 (pow.f64 alpha 3)) (-.f64 (/.f64 4 alpha) (+.f64 (/.f64 12 (pow.f64 alpha 2)) (/.f64 80 (pow.f64 alpha 4)))))
(-.f64 (+.f64 (/.f64 4 alpha) (+.f64 (/.f64 32 (pow.f64 alpha 3)) (/.f64 -12 (pow.f64 alpha 2)))) (/.f64 80 (pow.f64 alpha 4)))
1
(+.f64 1 (*.f64 -1/2 alpha))
(+.f64 1 (*.f64 alpha -1/2))
(fma.f64 alpha -1/2 1)
(+.f64 1 (+.f64 (*.f64 -1/2 alpha) (*.f64 1/4 (pow.f64 alpha 2))))
(+.f64 1 (fma.f64 -1/2 alpha (*.f64 (pow.f64 alpha 2) 1/4)))
(+.f64 (fma.f64 alpha -1/2 1) (*.f64 (pow.f64 alpha 2) 1/4))
(+.f64 1 (+.f64 (*.f64 -1/2 alpha) (+.f64 (*.f64 -1/8 (pow.f64 alpha 3)) (*.f64 1/4 (pow.f64 alpha 2)))))
(+.f64 1 (fma.f64 -1/2 alpha (fma.f64 -1/8 (pow.f64 alpha 3) (*.f64 (pow.f64 alpha 2) 1/4))))
(+.f64 (fma.f64 alpha -1/2 1) (fma.f64 (pow.f64 alpha 2) 1/4 (*.f64 (pow.f64 alpha 3) -1/8)))
(/.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 (*.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 (/.f64 2 alpha) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.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 (*.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 (/.f64 2 alpha) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 -4 (pow.f64 alpha 2)))) (/.f64 16 (pow.f64 alpha 4)))
(*.f64 1/4 (pow.f64 alpha 2))
(*.f64 (pow.f64 alpha 2) 1/4)
(+.f64 (*.f64 -1/4 (pow.f64 alpha 3)) (*.f64 1/4 (pow.f64 alpha 2)))
(fma.f64 -1/4 (pow.f64 alpha 3) (*.f64 (pow.f64 alpha 2) 1/4))
(+.f64 (*.f64 -1/4 (pow.f64 alpha 3)) (+.f64 (*.f64 3/16 (pow.f64 alpha 4)) (*.f64 1/4 (pow.f64 alpha 2))))
(fma.f64 -1/4 (pow.f64 alpha 3) (fma.f64 3/16 (pow.f64 alpha 4) (*.f64 (pow.f64 alpha 2) 1/4)))
(fma.f64 -1/4 (pow.f64 alpha 3) (fma.f64 (pow.f64 alpha 2) 1/4 (*.f64 (pow.f64 alpha 4) 3/16)))
(+.f64 (*.f64 -1/4 (pow.f64 alpha 3)) (+.f64 (*.f64 -1/8 (pow.f64 alpha 5)) (+.f64 (*.f64 3/16 (pow.f64 alpha 4)) (*.f64 1/4 (pow.f64 alpha 2)))))
(fma.f64 -1/4 (pow.f64 alpha 3) (fma.f64 -1/8 (pow.f64 alpha 5) (fma.f64 3/16 (pow.f64 alpha 4) (*.f64 (pow.f64 alpha 2) 1/4))))
(fma.f64 -1/4 (pow.f64 alpha 3) (fma.f64 -1/8 (pow.f64 alpha 5) (fma.f64 (pow.f64 alpha 2) 1/4 (*.f64 (pow.f64 alpha 4) 3/16))))
1
(-.f64 1 (*.f64 4 (/.f64 1 alpha)))
(-.f64 1 (/.f64 4 alpha))
(-.f64 (+.f64 1 (*.f64 12 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 4 (/.f64 1 alpha)))
(+.f64 1 (-.f64 (/.f64 12 (pow.f64 alpha 2)) (/.f64 4 alpha)))
(+.f64 1 (+.f64 (/.f64 12 (pow.f64 alpha 2)) (/.f64 -4 alpha)))
(-.f64 (+.f64 1 (*.f64 12 (/.f64 1 (pow.f64 alpha 2)))) (+.f64 (*.f64 4 (/.f64 1 alpha)) (*.f64 32 (/.f64 1 (pow.f64 alpha 3)))))
(-.f64 (+.f64 1 (/.f64 12 (pow.f64 alpha 2))) (+.f64 (/.f64 4 alpha) (/.f64 32 (pow.f64 alpha 3))))
(+.f64 (/.f64 12 (pow.f64 alpha 2)) (-.f64 1 (+.f64 (/.f64 4 alpha) (/.f64 32 (pow.f64 alpha 3)))))
1
(-.f64 1 (*.f64 4 (/.f64 1 alpha)))
(-.f64 1 (/.f64 4 alpha))
(-.f64 (+.f64 1 (*.f64 12 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 4 (/.f64 1 alpha)))
(+.f64 1 (-.f64 (/.f64 12 (pow.f64 alpha 2)) (/.f64 4 alpha)))
(+.f64 1 (+.f64 (/.f64 12 (pow.f64 alpha 2)) (/.f64 -4 alpha)))
(-.f64 (+.f64 1 (*.f64 12 (/.f64 1 (pow.f64 alpha 2)))) (+.f64 (*.f64 4 (/.f64 1 alpha)) (*.f64 32 (/.f64 1 (pow.f64 alpha 3)))))
(-.f64 (+.f64 1 (/.f64 12 (pow.f64 alpha 2))) (+.f64 (/.f64 4 alpha) (/.f64 32 (pow.f64 alpha 3))))
(+.f64 (/.f64 12 (pow.f64 alpha 2)) (-.f64 1 (+.f64 (/.f64 4 alpha) (/.f64 32 (pow.f64 alpha 3)))))
1
(+.f64 1 (*.f64 1/2 alpha))
(+.f64 1 (*.f64 alpha 1/2))
(fma.f64 alpha 1/2 1)
(+.f64 1 (+.f64 (*.f64 -1/4 (pow.f64 alpha 2)) (*.f64 1/2 alpha)))
(+.f64 1 (fma.f64 -1/4 (pow.f64 alpha 2) (*.f64 alpha 1/2)))
(+.f64 1 (+.f64 (*.f64 -1/4 (pow.f64 alpha 2)) (+.f64 (*.f64 1/8 (pow.f64 alpha 3)) (*.f64 1/2 alpha))))
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(/.f64 (neg.f64 (-.f64 8 (/.f64 8 (pow.f64 beta 3)))) (+.f64 -4 (neg.f64 (+.f64 (/.f64 4 (pow.f64 beta 2)) (/.f64 4 beta)))))
(/.f64 (+.f64 -8 (/.f64 8 (pow.f64 beta 3))) (-.f64 -4 (+.f64 (/.f64 4 (pow.f64 beta 2)) (/.f64 4 beta))))
(/.f64 (neg.f64 (-.f64 4 (/.f64 4 (pow.f64 beta 2)))) (neg.f64 (+.f64 2 (/.f64 2 beta))))
(/.f64 (neg.f64 (-.f64 4 (/.f64 4 (pow.f64 beta 2)))) (+.f64 -2 (neg.f64 (/.f64 2 beta))))
(/.f64 (+.f64 -4 (/.f64 4 (pow.f64 beta 2))) (+.f64 -2 (/.f64 -2 beta)))
(/.f64 (+.f64 8 (pow.f64 (/.f64 -2 beta) 3)) (+.f64 4 (-.f64 (*.f64 (/.f64 -2 beta) (/.f64 -2 beta)) (*.f64 2 (/.f64 -2 beta)))))
(/.f64 1 (/.f64 (+.f64 4 (+.f64 (/.f64 4 (pow.f64 beta 2)) (/.f64 4 beta))) (-.f64 8 (/.f64 8 (pow.f64 beta 3)))))
(/.f64 (+.f64 8 (/.f64 -8 (pow.f64 beta 3))) (fma.f64 (/.f64 -2 beta) (+.f64 -2 (/.f64 -2 beta)) 4))
(/.f64 (-.f64 4 (*.f64 (/.f64 -2 beta) (/.f64 -2 beta))) (-.f64 2 (/.f64 -2 beta)))
(*.f64 (-.f64 4 (/.f64 4 (pow.f64 beta 2))) (/.f64 1 (+.f64 2 (/.f64 2 beta))))
(/.f64 (+.f64 4 (/.f64 -4 (pow.f64 beta 2))) (+.f64 2 (/.f64 2 beta)))
(pow.f64 (+.f64 2 (/.f64 -2 beta)) 1)
(-.f64 2 (/.f64 2 beta))
(+.f64 2 (/.f64 -2 beta))
(pow.f64 (cbrt.f64 (+.f64 2 (/.f64 -2 beta))) 3)
(-.f64 2 (/.f64 2 beta))
(+.f64 2 (/.f64 -2 beta))
(pow.f64 (pow.f64 (+.f64 2 (/.f64 -2 beta)) 3) 1/3)
(-.f64 2 (/.f64 2 beta))
(+.f64 2 (/.f64 -2 beta))
(pow.f64 (sqrt.f64 (+.f64 2 (/.f64 -2 beta))) 2)
(-.f64 2 (/.f64 2 beta))
(+.f64 2 (/.f64 -2 beta))
(sqrt.f64 (pow.f64 (+.f64 2 (/.f64 -2 beta)) 2))
(-.f64 2 (/.f64 2 beta))
(+.f64 2 (/.f64 -2 beta))
(log.f64 (exp.f64 (+.f64 2 (/.f64 -2 beta))))
(-.f64 2 (/.f64 2 beta))
(+.f64 2 (/.f64 -2 beta))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 2 (/.f64 -2 beta)))))
(-.f64 2 (/.f64 2 beta))
(+.f64 2 (/.f64 -2 beta))
(cbrt.f64 (pow.f64 (+.f64 2 (/.f64 -2 beta)) 3))
(-.f64 2 (/.f64 2 beta))
(+.f64 2 (/.f64 -2 beta))
(expm1.f64 (log1p.f64 (+.f64 2 (/.f64 -2 beta))))
(-.f64 2 (/.f64 2 beta))
(+.f64 2 (/.f64 -2 beta))
(exp.f64 (log.f64 (+.f64 2 (/.f64 -2 beta))))
(-.f64 2 (/.f64 2 beta))
(+.f64 2 (/.f64 -2 beta))
(exp.f64 (*.f64 (log.f64 (+.f64 2 (/.f64 -2 beta))) 1))
(-.f64 2 (/.f64 2 beta))
(+.f64 2 (/.f64 -2 beta))
(log1p.f64 (expm1.f64 (+.f64 2 (/.f64 -2 beta))))
(-.f64 2 (/.f64 2 beta))
(+.f64 2 (/.f64 -2 beta))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 2 beta 2) alpha))) 1)
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 1 (/.f64 (fma.f64 2 beta 2) alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (fma.f64 2 beta 2) (/.f64 1 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1)
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2) (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (*.f64 (cbrt.f64 (fma.f64 2 beta 2)) (/.f64 1 alpha)))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (sqrt.f64 (fma.f64 2 beta 2)) (*.f64 (sqrt.f64 (fma.f64 2 beta 2)) (/.f64 1 alpha)))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (neg.f64 (fma.f64 2 beta 2)) (/.f64 1 alpha))
(/.f64 (neg.f64 (fma.f64 2 beta 2)) alpha)
(neg.f64 (/.f64 (fma.f64 2 beta 2) alpha))
(*.f64 (/.f64 1 alpha) (fma.f64 2 beta 2))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (fma.f64 2 beta 2) (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 (fma.f64 2 beta 2) (sqrt.f64 alpha)))
(/.f64 (/.f64 (fma.f64 2 beta 2) (sqrt.f64 alpha)) (sqrt.f64 alpha))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 2 beta 2)) alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)))
(*.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 (fma.f64 2 beta 2)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (fma.f64 2 beta 2)) (sqrt.f64 alpha)))
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (fma.f64 2 beta 2) (sqrt.f64 alpha)))
(/.f64 (/.f64 (fma.f64 2 beta 2) (sqrt.f64 alpha)) (sqrt.f64 alpha))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) 1) (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) (cbrt.f64 alpha)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (fma.f64 2 beta 2) (cbrt.f64 alpha)))
(/.f64 (/.f64 (fma.f64 2 beta 2) (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2))
(pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1)
(/.f64 (fma.f64 2 beta 2) alpha)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 3)
(/.f64 (fma.f64 2 beta 2) alpha)
(pow.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 3) 1/3)
(/.f64 (fma.f64 2 beta 2) alpha)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2)
(/.f64 (fma.f64 2 beta 2) alpha)
(pow.f64 (/.f64 alpha (fma.f64 2 beta 2)) -1)
(/.f64 (fma.f64 2 beta 2) alpha)
(neg.f64 (/.f64 (fma.f64 2 beta 2) alpha))
(/.f64 (neg.f64 (fma.f64 2 beta 2)) alpha)
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 2))
(/.f64 (fma.f64 2 beta 2) alpha)
(log.f64 (exp.f64 (/.f64 (fma.f64 2 beta 2) alpha)))
(/.f64 (fma.f64 2 beta 2) alpha)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 2 beta 2) alpha))))
(/.f64 (fma.f64 2 beta 2) alpha)
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 3))
(/.f64 (fma.f64 2 beta 2) alpha)
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 2 beta 2) 3) (pow.f64 alpha 3)))
(/.f64 (fma.f64 2 beta 2) alpha)
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 2 beta 2) alpha)))
(/.f64 (fma.f64 2 beta 2) alpha)
(exp.f64 (log.f64 (/.f64 (fma.f64 2 beta 2) alpha)))
(/.f64 (fma.f64 2 beta 2) alpha)
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 1))
(/.f64 (fma.f64 2 beta 2) alpha)
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 2 beta 2) alpha)))
(/.f64 (fma.f64 2 beta 2) alpha)

eval199.0ms (2.6%)

Compiler

Compiled 7921 to 6161 computations (22.2% saved)

prune74.0ms (1%)

Pruning

21 alts after pruning (14 fresh and 7 done)

PrunedKeptTotal
New3157322
Fresh077
Picked145
Done033
Total31621337
Accuracy
100.0%
Counts
337 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
27.0%
(/.f64 (/.f64 (/.f64 (fma.f64 2 beta 2) (sqrt.f64 alpha)) (sqrt.f64 alpha)) 2)
49.1%
(/.f64 (/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 6)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 4)))) (-.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) 2)
49.2%
(/.f64 (/.f64 (-.f64 1 (/.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 (+.f64 alpha 2) alpha))) (-.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) 2)
49.2%
(/.f64 (/.f64 (-.f64 1 (/.f64 1 (*.f64 (/.f64 (+.f64 alpha 2) alpha) (/.f64 (+.f64 alpha 2) alpha)))) (-.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) 2)
4.7%
(/.f64 (/.f64 (-.f64 1 (*.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (-.f64 2 (/.f64 2 alpha))) 2)
21.2%
(/.f64 (/.f64 (+.f64 (/.f64 32 (pow.f64 alpha 3)) (-.f64 (/.f64 4 alpha) (/.f64 12 (pow.f64 alpha 2)))) (-.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) 2)
27.6%
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
10.1%
(/.f64 (/.f64 (*.f64 2 beta) alpha) 2)
22.0%
(/.f64 (/.f64 2 alpha) 2)
44.0%
(/.f64 (/.f64 1 (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) -1) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1))) 2)
20.6%
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (pow.f64 alpha 2))) 2)
32.9%
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
49.2%
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
46.9%
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
35.6%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) beta) 1) 2)
74.5%
(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
21.2%
(/.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (pow.f64 alpha 2)))) 2)
44.4%
(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
35.7%
(/.f64 (+.f64 2 (neg.f64 (/.f64 (*.f64 alpha 2) beta))) 2)
40.1%
(/.f64 2 2)
48.6%
(/.f64 1 2)
Compiler

Compiled 589 to 475 computations (19.4% saved)

localize565.0ms (7.4%)

Localize:

Found 14 expressions with local error:

NewAccuracyProgram
100.0%
(-.f64 (/.f64 2 alpha) (/.f64 4 (pow.f64 alpha 2)))
99.6%
(/.f64 4 (pow.f64 alpha 2))
99.4%
(/.f64 8 (pow.f64 alpha 3))
86.3%
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (pow.f64 alpha 2))))
100.0%
(/.f64 (+.f64 alpha 2) alpha)
100.0%
(/.f64 (-.f64 1 (/.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 (+.f64 alpha 2) alpha))) (-.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))
99.8%
(/.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 (+.f64 alpha 2) alpha))
71.1%
(-.f64 1 (/.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 (+.f64 alpha 2) alpha)))
100.0%
(/.f64 (-.f64 beta alpha) beta)
100.0%
(+.f64 (/.f64 (-.f64 beta alpha) beta) 1)
100.0%
(/.f64 (-.f64 1 (/.f64 1 (*.f64 (/.f64 (+.f64 alpha 2) alpha) (/.f64 (+.f64 alpha 2) alpha)))) (-.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))
99.7%
(*.f64 (/.f64 (+.f64 alpha 2) alpha) (/.f64 (+.f64 alpha 2) alpha))
98.8%
(/.f64 1 (*.f64 (/.f64 (+.f64 alpha 2) alpha) (/.f64 (+.f64 alpha 2) alpha)))
71.1%
(-.f64 1 (/.f64 1 (*.f64 (/.f64 (+.f64 alpha 2) alpha) (/.f64 (+.f64 alpha 2) alpha))))
Compiler

Compiled 324 to 216 computations (33.3% saved)

series12.0ms (0.2%)

Counts
14 → 168
Calls

48 calls:

TimeVariablePointExpression
1.0ms
alpha
@inf
(-.f64 1 (/.f64 1 (*.f64 (/.f64 (+.f64 alpha 2) alpha) (/.f64 (+.f64 alpha 2) alpha))))
1.0ms
alpha
@0
(/.f64 8 (pow.f64 alpha 3))
0.0ms
alpha
@0
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (pow.f64 alpha 2))))
0.0ms
alpha
@0
(/.f64 4 (pow.f64 alpha 2))
0.0ms
alpha
@0
(*.f64 (/.f64 (+.f64 alpha 2) alpha) (/.f64 (+.f64 alpha 2) alpha))

rewrite139.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
448×frac-times
298×times-frac
283×log1p-expm1-u
283×expm1-log1p-u
271×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036487
1691361
Stop Event
node limit
Counts
14 → 429
Calls
Call 1
Inputs
(-.f64 1 (/.f64 1 (*.f64 (/.f64 (+.f64 alpha 2) alpha) (/.f64 (+.f64 alpha 2) alpha))))
(/.f64 1 (*.f64 (/.f64 (+.f64 alpha 2) alpha) (/.f64 (+.f64 alpha 2) alpha)))
(*.f64 (/.f64 (+.f64 alpha 2) alpha) (/.f64 (+.f64 alpha 2) alpha))
(/.f64 (-.f64 1 (/.f64 1 (*.f64 (/.f64 (+.f64 alpha 2) alpha) (/.f64 (+.f64 alpha 2) alpha)))) (-.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))
(+.f64 (/.f64 (-.f64 beta alpha) beta) 1)
(/.f64 (-.f64 beta alpha) beta)
(-.f64 1 (/.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 (+.f64 alpha 2) alpha)))
(/.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 (+.f64 alpha 2) alpha))
(/.f64 (-.f64 1 (/.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 (+.f64 alpha 2) alpha))) (-.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))
(/.f64 (+.f64 alpha 2) alpha)
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (pow.f64 alpha 2))))
(/.f64 8 (pow.f64 alpha 3))
(/.f64 4 (pow.f64 alpha 2))
(-.f64 (/.f64 2 alpha) (/.f64 4 (pow.f64 alpha 2)))
Outputs
(+.f64 1 (neg.f64 (pow.f64 (/.f64 (+.f64 alpha 2) alpha) -2)))
(*.f64 1 (-.f64 1 (pow.f64 (/.f64 (+.f64 alpha 2) alpha) -2)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 alpha 2) alpha) -2))) 2) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 alpha 2) alpha) -2))))
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 alpha 2) alpha) -2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 alpha 2) alpha) -2))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (/.f64 (+.f64 alpha 2) alpha) 2) -3)) (+.f64 1 (+.f64 (/.f64 1 (pow.f64 (/.f64 (+.f64 alpha 2) alpha) 4)) (pow.f64 (/.f64 (+.f64 alpha 2) alpha) -2))))
(/.f64 (-.f64 1 (/.f64 1 (pow.f64 (/.f64 (+.f64 alpha 2) alpha) 4))) (+.f64 1 (pow.f64 (/.f64 (+.f64 alpha 2) alpha) -2)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (pow.f64 (/.f64 (+.f64 alpha 2) alpha) 2) -3))) (neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 (/.f64 (+.f64 alpha 2) alpha) 4)) (pow.f64 (/.f64 (+.f64 alpha 2) alpha) -2)))))
(/.f64 (neg.f64 (-.f64 1 (/.f64 1 (pow.f64 (/.f64 (+.f64 alpha 2) alpha) 4)))) (neg.f64 (+.f64 1 (pow.f64 (/.f64 (+.f64 alpha 2) alpha) -2))))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (pow.f64 (/.f64 (+.f64 alpha 2) alpha) -2)) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (pow.f64 (/.f64 (+.f64 alpha 2) alpha) -2)) (neg.f64 (pow.f64 (/.f64 (+.f64 alpha 2) alpha) -2))) (neg.f64 (pow.f64 (/.f64 (+.f64 alpha 2) alpha) -2)))))
(pow.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 alpha 2) alpha) -2)) 1)
(pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 alpha 2) alpha) -2))) 3)
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 alpha 2) alpha) -2)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 alpha 2) alpha) -2))) 2)
(sqrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 alpha 2) alpha) -2)) 2))
(log.f64 (exp.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 alpha 2) alpha) -2))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 alpha 2) alpha) -2)))))
(cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 alpha 2) alpha) -2)) 3))
(expm1.f64 (log1p.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 alpha 2) alpha) -2))))
(exp.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 (+.f64 alpha 2) alpha) -2))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 (+.f64 alpha 2) alpha) -2))) 1))
(log1p.f64 (expm1.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 alpha 2) alpha) -2))))
(-.f64 (+.f64 1 (pow.f64 (/.f64 (+.f64 alpha 2) alpha) -2)) 1)
(*.f64 1 (pow.f64 (/.f64 (+.f64 alpha 2) alpha) -2))
(*.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 alpha (+.f64 alpha 2)))
(*.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 1 alpha)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2) (/.f64 (/.f64 alpha (+.f64 alpha 2)) (cbrt.f64 (/.f64 (+.f64 alpha 2) alpha))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2) 2) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2))
(*.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))) (/.f64 (/.f64 alpha (+.f64 alpha 2)) (sqrt.f64 (/.f64 (+.f64 alpha 2) alpha))))
(*.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 1 alpha)))
(*.f64 (/.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 alpha 2)) alpha)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha 2) alpha) 4)) -1) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 2) alpha)) 2) -1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (/.f64 (+.f64 alpha 2) alpha)) (/.f64 (cbrt.f64 alpha) (+.f64 alpha 2)))
(*.f64 (/.f64 (sqrt.f64 alpha) (/.f64 (+.f64 alpha 2) alpha)) (/.f64 (sqrt.f64 alpha) (+.f64 alpha 2)))
(*.f64 (/.f64 alpha 1) (/.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (+.f64 alpha 2) alpha)))
(*.f64 (/.f64 alpha (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 2) alpha)) 2)) (/.f64 (/.f64 1 (+.f64 alpha 2)) (cbrt.f64 (/.f64 (+.f64 alpha 2) alpha))))
(*.f64 (/.f64 alpha (sqrt.f64 (/.f64 (+.f64 alpha 2) alpha))) (/.f64 (/.f64 1 (+.f64 alpha 2)) (sqrt.f64 (/.f64 (+.f64 alpha 2) alpha))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2) 1) (/.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) (/.f64 (+.f64 alpha 2) alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2) (+.f64 alpha 2)) (/.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) (/.f64 1 alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2) (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 2) alpha)) 2)) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2))
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(fma.f64 (*.f64 4 (pow.f64 alpha -2)) (/.f64 2 alpha) (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2)))) 2) (cbrt.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2)))) (*.f64 8 (pow.f64 alpha -3)))
(fma.f64 (/.f64 (sqrt.f64 8) (pow.f64 alpha 3/2)) (/.f64 (sqrt.f64 8) (pow.f64 alpha 3/2)) (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2))))
(fma.f64 (sqrt.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2)))) (sqrt.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2)))) (*.f64 8 (pow.f64 alpha -3)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 8 (pow.f64 alpha -3)))) 1)
(*.f64 1 (*.f64 8 (pow.f64 alpha -3)))
(*.f64 8 (pow.f64 alpha -3))
(*.f64 8 (pow.f64 (/.f64 1 alpha) 3))
(*.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2)))
(*.f64 (*.f64 4 (pow.f64 alpha -2)) (/.f64 2 alpha))
(*.f64 (/.f64 (sqrt.f64 8) (pow.f64 alpha 3/2)) (/.f64 (sqrt.f64 8) (pow.f64 alpha 3/2)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 2 alpha)) 3) (pow.f64 (sqrt.f64 (/.f64 2 alpha)) 3))
(pow.f64 (*.f64 8 (pow.f64 alpha -3)) 1)
(pow.f64 (/.f64 2 alpha) 3)
(pow.f64 (*.f64 512 (pow.f64 (pow.f64 alpha -3) 3)) 1/3)
(pow.f64 (/.f64 (sqrt.f64 8) (pow.f64 alpha 3/2)) 2)
(pow.f64 (/.f64 (pow.f64 alpha 3) 8) -1)
(sqrt.f64 (/.f64 64 (pow.f64 alpha 6)))
(log.f64 (pow.f64 (exp.f64 8) (pow.f64 alpha -3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 8 (pow.f64 alpha -3)))))
(cbrt.f64 (*.f64 512 (pow.f64 (pow.f64 alpha -3) 3)))
(expm1.f64 (log1p.f64 (*.f64 8 (pow.f64 alpha -3))))
(exp.f64 (log.f64 (*.f64 8 (pow.f64 alpha -3))))
(exp.f64 (*.f64 (log.f64 (*.f64 8 (pow.f64 alpha -3))) 1))
(exp.f64 (*.f64 (log.f64 (/.f64 2 alpha)) 3))
(exp.f64 (+.f64 (log.f64 (/.f64 2 alpha)) (log.f64 (*.f64 4 (pow.f64 alpha -2)))))
(log1p.f64 (expm1.f64 (*.f64 8 (pow.f64 alpha -3))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 4 (pow.f64 alpha -2)))) 1)
(*.f64 1 (*.f64 4 (pow.f64 alpha -2)))
(*.f64 (/.f64 2 alpha) (/.f64 2 alpha))
(*.f64 4 (pow.f64 alpha -2))
(*.f64 (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2))
(pow.f64 (/.f64 2 alpha) 2)
(pow.f64 (*.f64 4 (pow.f64 alpha -2)) 1)
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2) 3)
(pow.f64 (/.f64 64 (pow.f64 alpha 6)) 1/3)
(pow.f64 (/.f64 (pow.f64 alpha 2) 4) -1)
(sqrt.f64 (/.f64 16 (pow.f64 alpha 4)))
(log.f64 (pow.f64 (exp.f64 4) (pow.f64 alpha -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 4 (pow.f64 alpha -2)))))
(cbrt.f64 (/.f64 64 (pow.f64 alpha 6)))
(expm1.f64 (log1p.f64 (*.f64 4 (pow.f64 alpha -2))))
(exp.f64 (log.f64 (*.f64 4 (pow.f64 alpha -2))))
(exp.f64 (*.f64 (log.f64 (*.f64 4 (pow.f64 alpha -2))) 1))
(log1p.f64 (expm1.f64 (*.f64 4 (pow.f64 alpha -2))))
(+.f64 (/.f64 2 alpha) (neg.f64 (*.f64 4 (pow.f64 alpha -2))))
(+.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2))) (fma.f64 (neg.f64 (/.f64 2 alpha)) (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2))))
(+.f64 (fma.f64 1 (/.f64 2 alpha) (neg.f64 (*.f64 (*.f64 4 (pow.f64 alpha -2)) 1))) (fma.f64 (neg.f64 (*.f64 4 (pow.f64 alpha -2))) 1 (*.f64 (*.f64 4 (pow.f64 alpha -2)) 1)))
(+.f64 (fma.f64 1 (/.f64 2 alpha) (neg.f64 (*.f64 (pow.f64 alpha -2) 4))) (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (*.f64 (pow.f64 alpha -2) 4)))
(+.f64 (fma.f64 1 (/.f64 2 alpha) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4)))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))) (*.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))))))
(+.f64 (fma.f64 2 (/.f64 1 alpha) (neg.f64 (*.f64 (*.f64 4 (pow.f64 alpha -2)) 1))) (fma.f64 (neg.f64 (*.f64 4 (pow.f64 alpha -2))) 1 (*.f64 (*.f64 4 (pow.f64 alpha -2)) 1)))
(+.f64 (fma.f64 2 (/.f64 1 alpha) (neg.f64 (*.f64 (pow.f64 alpha -2) 4))) (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (*.f64 (pow.f64 alpha -2) 4)))
(+.f64 (fma.f64 2 (/.f64 1 alpha) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4)))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))) (*.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2) (cbrt.f64 (/.f64 2 alpha)) (neg.f64 (*.f64 (*.f64 4 (pow.f64 alpha -2)) 1))) (fma.f64 (neg.f64 (*.f64 4 (pow.f64 alpha -2))) 1 (*.f64 (*.f64 4 (pow.f64 alpha -2)) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2) (cbrt.f64 (/.f64 2 alpha)) (neg.f64 (*.f64 (pow.f64 alpha -2) 4))) (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (*.f64 (pow.f64 alpha -2) 4)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2) (cbrt.f64 (/.f64 2 alpha)) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4)))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))) (*.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 2 alpha)) (sqrt.f64 (/.f64 2 alpha)) (neg.f64 (*.f64 (*.f64 4 (pow.f64 alpha -2)) 1))) (fma.f64 (neg.f64 (*.f64 4 (pow.f64 alpha -2))) 1 (*.f64 (*.f64 4 (pow.f64 alpha -2)) 1)))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 2 alpha)) (sqrt.f64 (/.f64 2 alpha)) (neg.f64 (*.f64 (pow.f64 alpha -2) 4))) (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (*.f64 (pow.f64 alpha -2) 4)))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 2 alpha)) (sqrt.f64 (/.f64 2 alpha)) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4)))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))) (*.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))))))
(*.f64 1 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2)))) 2) (cbrt.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2)))))
(*.f64 (sqrt.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2)))) (sqrt.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2)))))
(/.f64 (fma.f64 2 (pow.f64 alpha 2) (neg.f64 (*.f64 alpha 4))) (pow.f64 alpha 3))
(/.f64 (-.f64 (*.f64 8 (pow.f64 alpha -3)) (/.f64 64 (pow.f64 alpha 6))) (+.f64 (*.f64 4 (pow.f64 alpha -2)) (+.f64 (/.f64 16 (pow.f64 alpha 4)) (*.f64 8 (pow.f64 alpha -3)))))
(/.f64 (-.f64 (*.f64 4 (pow.f64 alpha -2)) (/.f64 16 (pow.f64 alpha 4))) (+.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2))))
(/.f64 (-.f64 (*.f64 1 (/.f64 (pow.f64 alpha 2) 4)) (*.f64 (/.f64 alpha 2) 1)) (*.f64 (/.f64 alpha 2) (/.f64 (pow.f64 alpha 2) 4)))
(/.f64 (-.f64 (pow.f64 alpha 2) (*.f64 (/.f64 alpha 2) 4)) (*.f64 (/.f64 alpha 2) (pow.f64 alpha 2)))
(/.f64 (-.f64 (neg.f64 (pow.f64 alpha 2)) (*.f64 (/.f64 alpha 2) -4)) (*.f64 (/.f64 alpha 2) (neg.f64 (pow.f64 alpha 2))))
(/.f64 (-.f64 (*.f64 2 (/.f64 (pow.f64 alpha 2) 4)) (*.f64 alpha 1)) (*.f64 alpha (/.f64 (pow.f64 alpha 2) 4)))
(/.f64 (-.f64 (*.f64 2 (neg.f64 (pow.f64 alpha 2))) (*.f64 alpha -4)) (*.f64 alpha (neg.f64 (pow.f64 alpha 2))))
(/.f64 (-.f64 (*.f64 -2 (/.f64 (pow.f64 alpha 2) 4)) (*.f64 alpha 1)) (*.f64 alpha (/.f64 (pow.f64 alpha 2) 4)))
(/.f64 (-.f64 (*.f64 -2 (pow.f64 alpha 2)) (*.f64 alpha 4)) (pow.f64 alpha 3))
(/.f64 (-.f64 (*.f64 -2 (neg.f64 (pow.f64 alpha 2))) (*.f64 alpha -4)) (*.f64 alpha (neg.f64 (pow.f64 alpha 2))))
(/.f64 (neg.f64 (fma.f64 2 (pow.f64 alpha 2) (neg.f64 (*.f64 alpha 4)))) (neg.f64 (pow.f64 alpha 3)))
(/.f64 (neg.f64 (-.f64 (*.f64 8 (pow.f64 alpha -3)) (/.f64 64 (pow.f64 alpha 6)))) (neg.f64 (+.f64 (*.f64 4 (pow.f64 alpha -2)) (+.f64 (/.f64 16 (pow.f64 alpha 4)) (*.f64 8 (pow.f64 alpha -3))))))
(/.f64 (neg.f64 (-.f64 (*.f64 4 (pow.f64 alpha -2)) (/.f64 16 (pow.f64 alpha 4)))) (neg.f64 (+.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2)))))
(/.f64 (+.f64 (*.f64 8 (pow.f64 alpha -3)) (pow.f64 (neg.f64 (*.f64 4 (pow.f64 alpha -2))) 3)) (+.f64 (*.f64 4 (pow.f64 alpha -2)) (-.f64 (*.f64 (neg.f64 (*.f64 4 (pow.f64 alpha -2))) (neg.f64 (*.f64 4 (pow.f64 alpha -2)))) (*.f64 (/.f64 2 alpha) (neg.f64 (*.f64 4 (pow.f64 alpha -2)))))))
(pow.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2))) 1)
(pow.f64 (cbrt.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2)))) 3)
(pow.f64 (pow.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2)))) 2)
(sqrt.f64 (pow.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2))) 2))
(log.f64 (exp.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2))))))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2))) 3))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2)))))
(exp.f64 (log.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2)))) 1))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2)))))
(fma.f64 1 (/.f64 2 alpha) (neg.f64 (*.f64 4 (pow.f64 alpha -2))))
(fma.f64 2 (/.f64 1 alpha) (neg.f64 (*.f64 4 (pow.f64 alpha -2))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2) (cbrt.f64 (/.f64 2 alpha)) (neg.f64 (*.f64 4 (pow.f64 alpha -2))))
(fma.f64 (sqrt.f64 (/.f64 2 alpha)) (sqrt.f64 (/.f64 2 alpha)) (neg.f64 (*.f64 4 (pow.f64 alpha -2))))

simplify249.0ms (3.2%)

Algorithm
egg-herbie
Rules
1080×associate-*r*
986×associate-*l*
884×times-frac
818×fma-def
388×sqr-pow
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
090224370
1240322403
Stop Event
node limit
Counts
597 → 554
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1/4 (pow.f64 alpha 2)))
(+.f64 1 (+.f64 (*.f64 -1/4 (pow.f64 alpha 2)) (*.f64 1/4 (pow.f64 alpha 3))))
(+.f64 1 (+.f64 (*.f64 -1/4 (pow.f64 alpha 2)) (+.f64 (*.f64 -3/16 (pow.f64 alpha 4)) (*.f64 1/4 (pow.f64 alpha 3)))))
(/.f64 4 alpha)
(-.f64 (*.f64 4 (/.f64 1 alpha)) (*.f64 12 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 alpha))) (*.f64 12 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 alpha))) (+.f64 (*.f64 12 (/.f64 1 (pow.f64 alpha 2))) (*.f64 80 (/.f64 1 (pow.f64 alpha 4)))))
(/.f64 4 alpha)
(-.f64 (*.f64 4 (/.f64 1 alpha)) (*.f64 12 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 alpha))) (*.f64 12 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 alpha))) (+.f64 (*.f64 12 (/.f64 1 (pow.f64 alpha 2))) (*.f64 80 (/.f64 1 (pow.f64 alpha 4)))))
(*.f64 1/4 (pow.f64 alpha 2))
(+.f64 (*.f64 -1/4 (pow.f64 alpha 3)) (*.f64 1/4 (pow.f64 alpha 2)))
(+.f64 (*.f64 -1/4 (pow.f64 alpha 3)) (+.f64 (*.f64 3/16 (pow.f64 alpha 4)) (*.f64 1/4 (pow.f64 alpha 2))))
(+.f64 (*.f64 -1/4 (pow.f64 alpha 3)) (+.f64 (*.f64 -1/8 (pow.f64 alpha 5)) (+.f64 (*.f64 3/16 (pow.f64 alpha 4)) (*.f64 1/4 (pow.f64 alpha 2)))))
1
(-.f64 1 (*.f64 4 (/.f64 1 alpha)))
(-.f64 (+.f64 1 (*.f64 12 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 4 (/.f64 1 alpha)))
(-.f64 (+.f64 1 (*.f64 12 (/.f64 1 (pow.f64 alpha 2)))) (+.f64 (*.f64 4 (/.f64 1 alpha)) (*.f64 32 (/.f64 1 (pow.f64 alpha 3)))))
1
(-.f64 1 (*.f64 4 (/.f64 1 alpha)))
(-.f64 (+.f64 1 (*.f64 12 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 4 (/.f64 1 alpha)))
(-.f64 (+.f64 1 (*.f64 12 (/.f64 1 (pow.f64 alpha 2)))) (+.f64 (*.f64 4 (/.f64 1 alpha)) (*.f64 32 (/.f64 1 (pow.f64 alpha 3)))))
(/.f64 4 (pow.f64 alpha 2))
(+.f64 (*.f64 4 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 1 (+.f64 (*.f64 4 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(+.f64 1 (+.f64 (*.f64 4 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
1
(+.f64 1 (*.f64 4 (/.f64 1 alpha)))
(+.f64 1 (+.f64 (*.f64 4 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(+.f64 1 (+.f64 (*.f64 4 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
1
(+.f64 1 (*.f64 4 (/.f64 1 alpha)))
(+.f64 1 (+.f64 (*.f64 4 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(+.f64 1 (+.f64 (*.f64 4 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
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 (/.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 -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)))
1
(+.f64 1 (*.f64 -1/4 (pow.f64 alpha 2)))
(+.f64 1 (+.f64 (*.f64 -1/4 (pow.f64 alpha 2)) (*.f64 1/4 (pow.f64 alpha 3))))
(+.f64 1 (+.f64 (*.f64 -1/4 (pow.f64 alpha 2)) (+.f64 (*.f64 -3/16 (pow.f64 alpha 4)) (*.f64 1/4 (pow.f64 alpha 3)))))
(/.f64 4 alpha)
(-.f64 (*.f64 4 (/.f64 1 alpha)) (*.f64 12 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 alpha))) (*.f64 12 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 alpha))) (+.f64 (*.f64 12 (/.f64 1 (pow.f64 alpha 2))) (*.f64 80 (/.f64 1 (pow.f64 alpha 4)))))
(/.f64 4 alpha)
(-.f64 (*.f64 4 (/.f64 1 alpha)) (*.f64 12 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 alpha))) (*.f64 12 (/.f64 1 (pow.f64 alpha 2))))
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(/.f64 (neg.f64 (-.f64 (*.f64 8 (pow.f64 alpha -3)) (/.f64 64 (pow.f64 alpha 6)))) (neg.f64 (+.f64 (*.f64 4 (pow.f64 alpha -2)) (+.f64 (/.f64 16 (pow.f64 alpha 4)) (*.f64 8 (pow.f64 alpha -3))))))
(/.f64 (neg.f64 (-.f64 (*.f64 4 (pow.f64 alpha -2)) (/.f64 16 (pow.f64 alpha 4)))) (neg.f64 (+.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2)))))
(/.f64 (+.f64 (*.f64 8 (pow.f64 alpha -3)) (pow.f64 (neg.f64 (*.f64 4 (pow.f64 alpha -2))) 3)) (+.f64 (*.f64 4 (pow.f64 alpha -2)) (-.f64 (*.f64 (neg.f64 (*.f64 4 (pow.f64 alpha -2))) (neg.f64 (*.f64 4 (pow.f64 alpha -2)))) (*.f64 (/.f64 2 alpha) (neg.f64 (*.f64 4 (pow.f64 alpha -2)))))))
(pow.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2))) 1)
(pow.f64 (cbrt.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2)))) 3)
(pow.f64 (pow.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2)))) 2)
(sqrt.f64 (pow.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2))) 2))
(log.f64 (exp.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2))))))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2))) 3))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2)))))
(exp.f64 (log.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2)))) 1))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2)))))
(fma.f64 1 (/.f64 2 alpha) (neg.f64 (*.f64 4 (pow.f64 alpha -2))))
(fma.f64 2 (/.f64 1 alpha) (neg.f64 (*.f64 4 (pow.f64 alpha -2))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2) (cbrt.f64 (/.f64 2 alpha)) (neg.f64 (*.f64 4 (pow.f64 alpha -2))))
(fma.f64 (sqrt.f64 (/.f64 2 alpha)) (sqrt.f64 (/.f64 2 alpha)) (neg.f64 (*.f64 4 (pow.f64 alpha -2))))
Outputs
1
(+.f64 1 (*.f64 -1/4 (pow.f64 alpha 2)))
(fma.f64 -1/4 (pow.f64 alpha 2) 1)
(+.f64 1 (+.f64 (*.f64 -1/4 (pow.f64 alpha 2)) (*.f64 1/4 (pow.f64 alpha 3))))
(+.f64 1 (fma.f64 -1/4 (pow.f64 alpha 2) (*.f64 1/4 (pow.f64 alpha 3))))
(+.f64 (fma.f64 -1/4 (pow.f64 alpha 2) 1) (*.f64 1/4 (pow.f64 alpha 3)))
(+.f64 1 (+.f64 (*.f64 -1/4 (pow.f64 alpha 2)) (+.f64 (*.f64 -3/16 (pow.f64 alpha 4)) (*.f64 1/4 (pow.f64 alpha 3)))))
(+.f64 1 (fma.f64 -1/4 (pow.f64 alpha 2) (fma.f64 -3/16 (pow.f64 alpha 4) (*.f64 1/4 (pow.f64 alpha 3)))))
(+.f64 (fma.f64 -1/4 (pow.f64 alpha 2) 1) (fma.f64 1/4 (pow.f64 alpha 3) (*.f64 -3/16 (pow.f64 alpha 4))))
(/.f64 4 alpha)
(-.f64 (*.f64 4 (/.f64 1 alpha)) (*.f64 12 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (/.f64 4 alpha) (/.f64 12 (pow.f64 alpha 2)))
(+.f64 (/.f64 4 alpha) (/.f64 -12 (pow.f64 alpha 2)))
(-.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 alpha))) (*.f64 12 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (/.f64 32 (pow.f64 alpha 3)) (-.f64 (/.f64 4 alpha) (/.f64 12 (pow.f64 alpha 2))))
(+.f64 (/.f64 32 (pow.f64 alpha 3)) (+.f64 (/.f64 4 alpha) (/.f64 -12 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 alpha))) (+.f64 (*.f64 12 (/.f64 1 (pow.f64 alpha 2))) (*.f64 80 (/.f64 1 (pow.f64 alpha 4)))))
(+.f64 (/.f64 32 (pow.f64 alpha 3)) (-.f64 (/.f64 4 alpha) (+.f64 (/.f64 12 (pow.f64 alpha 2)) (/.f64 80 (pow.f64 alpha 4)))))
(-.f64 (+.f64 (/.f64 32 (pow.f64 alpha 3)) (+.f64 (/.f64 4 alpha) (/.f64 -12 (pow.f64 alpha 2)))) (/.f64 80 (pow.f64 alpha 4)))
(/.f64 4 alpha)
(-.f64 (*.f64 4 (/.f64 1 alpha)) (*.f64 12 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (/.f64 4 alpha) (/.f64 12 (pow.f64 alpha 2)))
(+.f64 (/.f64 4 alpha) (/.f64 -12 (pow.f64 alpha 2)))
(-.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 alpha))) (*.f64 12 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (/.f64 32 (pow.f64 alpha 3)) (-.f64 (/.f64 4 alpha) (/.f64 12 (pow.f64 alpha 2))))
(+.f64 (/.f64 32 (pow.f64 alpha 3)) (+.f64 (/.f64 4 alpha) (/.f64 -12 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 alpha))) (+.f64 (*.f64 12 (/.f64 1 (pow.f64 alpha 2))) (*.f64 80 (/.f64 1 (pow.f64 alpha 4)))))
(+.f64 (/.f64 32 (pow.f64 alpha 3)) (-.f64 (/.f64 4 alpha) (+.f64 (/.f64 12 (pow.f64 alpha 2)) (/.f64 80 (pow.f64 alpha 4)))))
(-.f64 (+.f64 (/.f64 32 (pow.f64 alpha 3)) (+.f64 (/.f64 4 alpha) (/.f64 -12 (pow.f64 alpha 2)))) (/.f64 80 (pow.f64 alpha 4)))
(*.f64 1/4 (pow.f64 alpha 2))
(*.f64 (pow.f64 alpha 2) 1/4)
(+.f64 (*.f64 -1/4 (pow.f64 alpha 3)) (*.f64 1/4 (pow.f64 alpha 2)))
(fma.f64 -1/4 (pow.f64 alpha 3) (*.f64 (pow.f64 alpha 2) 1/4))
(+.f64 (*.f64 -1/4 (pow.f64 alpha 3)) (+.f64 (*.f64 3/16 (pow.f64 alpha 4)) (*.f64 1/4 (pow.f64 alpha 2))))
(fma.f64 -1/4 (pow.f64 alpha 3) (fma.f64 3/16 (pow.f64 alpha 4) (*.f64 (pow.f64 alpha 2) 1/4)))
(fma.f64 -1/4 (pow.f64 alpha 3) (fma.f64 (pow.f64 alpha 2) 1/4 (*.f64 (pow.f64 alpha 4) 3/16)))
(+.f64 (*.f64 -1/4 (pow.f64 alpha 3)) (+.f64 (*.f64 -1/8 (pow.f64 alpha 5)) (+.f64 (*.f64 3/16 (pow.f64 alpha 4)) (*.f64 1/4 (pow.f64 alpha 2)))))
(fma.f64 -1/4 (pow.f64 alpha 3) (fma.f64 -1/8 (pow.f64 alpha 5) (fma.f64 3/16 (pow.f64 alpha 4) (*.f64 (pow.f64 alpha 2) 1/4))))
(fma.f64 -1/4 (pow.f64 alpha 3) (fma.f64 -1/8 (pow.f64 alpha 5) (fma.f64 (pow.f64 alpha 2) 1/4 (*.f64 (pow.f64 alpha 4) 3/16))))
1
(-.f64 1 (*.f64 4 (/.f64 1 alpha)))
(-.f64 1 (/.f64 4 alpha))
(+.f64 1 (/.f64 -4 alpha))
(-.f64 (+.f64 1 (*.f64 12 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 4 (/.f64 1 alpha)))
(+.f64 1 (-.f64 (/.f64 12 (pow.f64 alpha 2)) (/.f64 4 alpha)))
(+.f64 1 (+.f64 (/.f64 12 (pow.f64 alpha 2)) (/.f64 -4 alpha)))
(-.f64 (+.f64 1 (*.f64 12 (/.f64 1 (pow.f64 alpha 2)))) (+.f64 (*.f64 4 (/.f64 1 alpha)) (*.f64 32 (/.f64 1 (pow.f64 alpha 3)))))
(+.f64 1 (-.f64 (/.f64 12 (pow.f64 alpha 2)) (+.f64 (/.f64 4 alpha) (/.f64 32 (pow.f64 alpha 3)))))
1
(-.f64 1 (*.f64 4 (/.f64 1 alpha)))
(-.f64 1 (/.f64 4 alpha))
(+.f64 1 (/.f64 -4 alpha))
(-.f64 (+.f64 1 (*.f64 12 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 4 (/.f64 1 alpha)))
(+.f64 1 (-.f64 (/.f64 12 (pow.f64 alpha 2)) (/.f64 4 alpha)))
(+.f64 1 (+.f64 (/.f64 12 (pow.f64 alpha 2)) (/.f64 -4 alpha)))
(-.f64 (+.f64 1 (*.f64 12 (/.f64 1 (pow.f64 alpha 2)))) (+.f64 (*.f64 4 (/.f64 1 alpha)) (*.f64 32 (/.f64 1 (pow.f64 alpha 3)))))
(+.f64 1 (-.f64 (/.f64 12 (pow.f64 alpha 2)) (+.f64 (/.f64 4 alpha) (/.f64 32 (pow.f64 alpha 3)))))
(/.f64 4 (pow.f64 alpha 2))
(+.f64 (*.f64 4 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (/.f64 4 alpha) (/.f64 4 (pow.f64 alpha 2)))
(+.f64 1 (+.f64 (*.f64 4 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(+.f64 1 (+.f64 (/.f64 4 alpha) (/.f64 4 (pow.f64 alpha 2))))
(+.f64 (/.f64 4 (pow.f64 alpha 2)) (+.f64 1 (/.f64 4 alpha)))
(+.f64 1 (+.f64 (*.f64 4 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(+.f64 1 (+.f64 (/.f64 4 alpha) (/.f64 4 (pow.f64 alpha 2))))
(+.f64 (/.f64 4 (pow.f64 alpha 2)) (+.f64 1 (/.f64 4 alpha)))
1
(+.f64 1 (*.f64 4 (/.f64 1 alpha)))
(+.f64 1 (/.f64 4 alpha))
(+.f64 1 (+.f64 (*.f64 4 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(+.f64 1 (+.f64 (/.f64 4 alpha) (/.f64 4 (pow.f64 alpha 2))))
(+.f64 (/.f64 4 (pow.f64 alpha 2)) (+.f64 1 (/.f64 4 alpha)))
(+.f64 1 (+.f64 (*.f64 4 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(+.f64 1 (+.f64 (/.f64 4 alpha) (/.f64 4 (pow.f64 alpha 2))))
(+.f64 (/.f64 4 (pow.f64 alpha 2)) (+.f64 1 (/.f64 4 alpha)))
1
(+.f64 1 (*.f64 4 (/.f64 1 alpha)))
(+.f64 1 (/.f64 4 alpha))
(+.f64 1 (+.f64 (*.f64 4 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(+.f64 1 (+.f64 (/.f64 4 alpha) (/.f64 4 (pow.f64 alpha 2))))
(+.f64 (/.f64 4 (pow.f64 alpha 2)) (+.f64 1 (/.f64 4 alpha)))
(+.f64 1 (+.f64 (*.f64 4 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(+.f64 1 (+.f64 (/.f64 4 alpha) (/.f64 4 (pow.f64 alpha 2))))
(+.f64 (/.f64 4 (pow.f64 alpha 2)) (+.f64 1 (/.f64 4 alpha)))
1
(+.f64 1 (*.f64 -1/2 alpha))
(+.f64 1 (*.f64 alpha -1/2))
(fma.f64 alpha -1/2 1)
(+.f64 1 (+.f64 (*.f64 -1/2 alpha) (*.f64 1/4 (pow.f64 alpha 2))))
(+.f64 1 (fma.f64 -1/2 alpha (*.f64 (pow.f64 alpha 2) 1/4)))
(+.f64 1 (fma.f64 (pow.f64 alpha 2) 1/4 (*.f64 alpha -1/2)))
(+.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 (pow.f64 alpha 2) 1/4))))
(+.f64 (fma.f64 alpha -1/2 1) (fma.f64 (pow.f64 alpha 2) 1/4 (*.f64 (pow.f64 alpha 3) -1/8)))
(/.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 (/.f64 2 alpha) (/.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 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3))) (+.f64 (/.f64 4 (pow.f64 alpha 2)) (/.f64 16 (pow.f64 alpha 4))))
(+.f64 (+.f64 (/.f64 2 alpha) (/.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 (/.f64 2 alpha) (/.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 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3))) (+.f64 (/.f64 4 (pow.f64 alpha 2)) (/.f64 16 (pow.f64 alpha 4))))
(+.f64 (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3))) (+.f64 (/.f64 -4 (pow.f64 alpha 2)) (/.f64 -16 (pow.f64 alpha 4))))
(*.f64 -1 (/.f64 alpha beta))
(neg.f64 (/.f64 alpha beta))
(/.f64 (neg.f64 alpha) beta)
(+.f64 2 (*.f64 -1 (/.f64 alpha beta)))
(+.f64 2 (neg.f64 (/.f64 alpha beta)))
(-.f64 2 (/.f64 alpha beta))
(+.f64 2 (*.f64 -1 (/.f64 alpha beta)))
(+.f64 2 (neg.f64 (/.f64 alpha beta)))
(-.f64 2 (/.f64 alpha beta))
(+.f64 2 (*.f64 -1 (/.f64 alpha beta)))
(+.f64 2 (neg.f64 (/.f64 alpha beta)))
(-.f64 2 (/.f64 alpha beta))
2
(+.f64 2 (*.f64 -1 (/.f64 alpha beta)))
(+.f64 2 (neg.f64 (/.f64 alpha beta)))
(-.f64 2 (/.f64 alpha beta))
(+.f64 2 (*.f64 -1 (/.f64 alpha beta)))
(+.f64 2 (neg.f64 (/.f64 alpha beta)))
(-.f64 2 (/.f64 alpha beta))
(+.f64 2 (*.f64 -1 (/.f64 alpha beta)))
(+.f64 2 (neg.f64 (/.f64 alpha beta)))
(-.f64 2 (/.f64 alpha beta))
2
(+.f64 2 (*.f64 -1 (/.f64 alpha beta)))
(+.f64 2 (neg.f64 (/.f64 alpha beta)))
(-.f64 2 (/.f64 alpha beta))
(+.f64 2 (*.f64 -1 (/.f64 alpha beta)))
(+.f64 2 (neg.f64 (/.f64 alpha beta)))
(-.f64 2 (/.f64 alpha beta))
(+.f64 2 (*.f64 -1 (/.f64 alpha beta)))
(+.f64 2 (neg.f64 (/.f64 alpha beta)))
(-.f64 2 (/.f64 alpha beta))
2
(+.f64 2 (*.f64 -1 (/.f64 alpha beta)))
(+.f64 2 (neg.f64 (/.f64 alpha beta)))
(-.f64 2 (/.f64 alpha beta))
(+.f64 2 (*.f64 -1 (/.f64 alpha beta)))
(+.f64 2 (neg.f64 (/.f64 alpha beta)))
(-.f64 2 (/.f64 alpha beta))
(+.f64 2 (*.f64 -1 (/.f64 alpha beta)))
(+.f64 2 (neg.f64 (/.f64 alpha beta)))
(-.f64 2 (/.f64 alpha beta))
(*.f64 -1 (/.f64 alpha beta))
(neg.f64 (/.f64 alpha beta))
(/.f64 (neg.f64 alpha) beta)
(+.f64 2 (*.f64 -1 (/.f64 alpha beta)))
(+.f64 2 (neg.f64 (/.f64 alpha beta)))
(-.f64 2 (/.f64 alpha beta))
(+.f64 2 (*.f64 -1 (/.f64 alpha beta)))
(+.f64 2 (neg.f64 (/.f64 alpha beta)))
(-.f64 2 (/.f64 alpha beta))
(+.f64 2 (*.f64 -1 (/.f64 alpha beta)))
(+.f64 2 (neg.f64 (/.f64 alpha beta)))
(-.f64 2 (/.f64 alpha beta))
(*.f64 -1 (/.f64 alpha beta))
(neg.f64 (/.f64 alpha beta))
(/.f64 (neg.f64 alpha) beta)
(+.f64 2 (*.f64 -1 (/.f64 alpha beta)))
(+.f64 2 (neg.f64 (/.f64 alpha beta)))
(-.f64 2 (/.f64 alpha beta))
(+.f64 2 (*.f64 -1 (/.f64 alpha beta)))
(+.f64 2 (neg.f64 (/.f64 alpha beta)))
(-.f64 2 (/.f64 alpha beta))
(+.f64 2 (*.f64 -1 (/.f64 alpha beta)))
(+.f64 2 (neg.f64 (/.f64 alpha beta)))
(-.f64 2 (/.f64 alpha beta))
(*.f64 -1 (/.f64 alpha beta))
(neg.f64 (/.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))
(neg.f64 (/.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))
(neg.f64 (/.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 -1/4 (pow.f64 alpha 2)))
(fma.f64 -1/4 (pow.f64 alpha 2) 1)
(+.f64 1 (+.f64 (*.f64 -1/4 (pow.f64 alpha 2)) (*.f64 1/4 (pow.f64 alpha 3))))
(+.f64 1 (fma.f64 -1/4 (pow.f64 alpha 2) (*.f64 1/4 (pow.f64 alpha 3))))
(+.f64 (fma.f64 -1/4 (pow.f64 alpha 2) 1) (*.f64 1/4 (pow.f64 alpha 3)))
(+.f64 1 (+.f64 (*.f64 -1/4 (pow.f64 alpha 2)) (+.f64 (*.f64 -3/16 (pow.f64 alpha 4)) (*.f64 1/4 (pow.f64 alpha 3)))))
(+.f64 1 (fma.f64 -1/4 (pow.f64 alpha 2) (fma.f64 -3/16 (pow.f64 alpha 4) (*.f64 1/4 (pow.f64 alpha 3)))))
(+.f64 (fma.f64 -1/4 (pow.f64 alpha 2) 1) (fma.f64 1/4 (pow.f64 alpha 3) (*.f64 -3/16 (pow.f64 alpha 4))))
(/.f64 4 alpha)
(-.f64 (*.f64 4 (/.f64 1 alpha)) (*.f64 12 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (/.f64 4 alpha) (/.f64 12 (pow.f64 alpha 2)))
(+.f64 (/.f64 4 alpha) (/.f64 -12 (pow.f64 alpha 2)))
(-.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 alpha))) (*.f64 12 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (/.f64 32 (pow.f64 alpha 3)) (-.f64 (/.f64 4 alpha) (/.f64 12 (pow.f64 alpha 2))))
(+.f64 (/.f64 32 (pow.f64 alpha 3)) (+.f64 (/.f64 4 alpha) (/.f64 -12 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 alpha))) (+.f64 (*.f64 12 (/.f64 1 (pow.f64 alpha 2))) (*.f64 80 (/.f64 1 (pow.f64 alpha 4)))))
(+.f64 (/.f64 32 (pow.f64 alpha 3)) (-.f64 (/.f64 4 alpha) (+.f64 (/.f64 12 (pow.f64 alpha 2)) (/.f64 80 (pow.f64 alpha 4)))))
(-.f64 (+.f64 (/.f64 32 (pow.f64 alpha 3)) (+.f64 (/.f64 4 alpha) (/.f64 -12 (pow.f64 alpha 2)))) (/.f64 80 (pow.f64 alpha 4)))
(/.f64 4 alpha)
(-.f64 (*.f64 4 (/.f64 1 alpha)) (*.f64 12 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (/.f64 4 alpha) (/.f64 12 (pow.f64 alpha 2)))
(+.f64 (/.f64 4 alpha) (/.f64 -12 (pow.f64 alpha 2)))
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(+.f64 (+.f64 (/.f64 2 alpha) (*.f64 -4 (pow.f64 alpha -2))) (fma.f64 (/.f64 -2 alpha) (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2))))
(+.f64 (fma.f64 -4 (pow.f64 alpha -2) (/.f64 2 alpha)) (*.f64 (pow.f64 alpha -2) 0))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 2 alpha)) (sqrt.f64 (/.f64 2 alpha)) (neg.f64 (*.f64 (pow.f64 alpha -2) 4))) (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (*.f64 (pow.f64 alpha -2) 4)))
(+.f64 (+.f64 (/.f64 2 alpha) (*.f64 -4 (pow.f64 alpha -2))) (fma.f64 (/.f64 -2 alpha) (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2))))
(+.f64 (fma.f64 -4 (pow.f64 alpha -2) (/.f64 2 alpha)) (*.f64 (pow.f64 alpha -2) 0))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 2 alpha)) (sqrt.f64 (/.f64 2 alpha)) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4)))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))) (*.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))))))
(+.f64 (fma.f64 1 (/.f64 2 alpha) (*.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2) (neg.f64 (cbrt.f64 (/.f64 16 (pow.f64 alpha 4)))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))) (*.f64 (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2))))
(+.f64 (*.f64 0 (*.f64 (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2))) (-.f64 (/.f64 2 alpha) (*.f64 (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2))))
(*.f64 1 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2))))
(+.f64 (/.f64 2 alpha) (*.f64 -4 (pow.f64 alpha -2)))
(fma.f64 -4 (pow.f64 alpha -2) (/.f64 2 alpha))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2)))) 2) (cbrt.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2)))))
(+.f64 (/.f64 2 alpha) (*.f64 -4 (pow.f64 alpha -2)))
(fma.f64 -4 (pow.f64 alpha -2) (/.f64 2 alpha))
(*.f64 (sqrt.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2)))) (sqrt.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2)))))
(+.f64 (/.f64 2 alpha) (*.f64 -4 (pow.f64 alpha -2)))
(fma.f64 -4 (pow.f64 alpha -2) (/.f64 2 alpha))
(/.f64 (fma.f64 2 (pow.f64 alpha 2) (neg.f64 (*.f64 alpha 4))) (pow.f64 alpha 3))
(/.f64 (fma.f64 2 (pow.f64 alpha 2) (*.f64 alpha -4)) (pow.f64 alpha 3))
(/.f64 (-.f64 (*.f64 8 (pow.f64 alpha -3)) (/.f64 64 (pow.f64 alpha 6))) (+.f64 (*.f64 4 (pow.f64 alpha -2)) (+.f64 (/.f64 16 (pow.f64 alpha 4)) (*.f64 8 (pow.f64 alpha -3)))))
(/.f64 (-.f64 (*.f64 8 (pow.f64 alpha -3)) (/.f64 64 (pow.f64 alpha 6))) (fma.f64 4 (pow.f64 alpha -2) (+.f64 (*.f64 8 (pow.f64 alpha -3)) (/.f64 16 (pow.f64 alpha 4)))))
(/.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 -64 (pow.f64 alpha 6))) (fma.f64 4 (pow.f64 alpha -2) (fma.f64 8 (pow.f64 alpha -3) (/.f64 16 (pow.f64 alpha 4)))))
(/.f64 (-.f64 (*.f64 4 (pow.f64 alpha -2)) (/.f64 16 (pow.f64 alpha 4))) (+.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2))))
(/.f64 (fma.f64 4 (pow.f64 alpha -2) (/.f64 -16 (pow.f64 alpha 4))) (fma.f64 4 (pow.f64 alpha -2) (/.f64 2 alpha)))
(/.f64 (-.f64 (*.f64 1 (/.f64 (pow.f64 alpha 2) 4)) (*.f64 (/.f64 alpha 2) 1)) (*.f64 (/.f64 alpha 2) (/.f64 (pow.f64 alpha 2) 4)))
(/.f64 (-.f64 (/.f64 (pow.f64 alpha 2) 4) (/.f64 alpha 2)) (/.f64 (/.f64 (pow.f64 alpha 3) 2) 4))
(/.f64 (-.f64 (pow.f64 alpha 2) (*.f64 (/.f64 alpha 2) 4)) (*.f64 (/.f64 alpha 2) (pow.f64 alpha 2)))
(/.f64 (-.f64 (pow.f64 alpha 2) (*.f64 4 (/.f64 alpha 2))) (/.f64 (pow.f64 alpha 3) 2))
(/.f64 (fma.f64 alpha alpha (/.f64 (*.f64 alpha -4) 2)) (/.f64 (pow.f64 alpha 3) 2))
(/.f64 (-.f64 (neg.f64 (pow.f64 alpha 2)) (*.f64 (/.f64 alpha 2) -4)) (*.f64 (/.f64 alpha 2) (neg.f64 (pow.f64 alpha 2))))
(/.f64 (-.f64 (neg.f64 (pow.f64 alpha 2)) (/.f64 (*.f64 alpha -4) 2)) (/.f64 (neg.f64 (pow.f64 alpha 3)) 2))
(/.f64 (fma.f64 -1 (pow.f64 alpha 2) (*.f64 4 (/.f64 alpha 2))) (/.f64 (neg.f64 (pow.f64 alpha 3)) 2))
(/.f64 (-.f64 (*.f64 2 (/.f64 (pow.f64 alpha 2) 4)) (*.f64 alpha 1)) (*.f64 alpha (/.f64 (pow.f64 alpha 2) 4)))
(/.f64 (-.f64 (*.f64 2 (/.f64 (pow.f64 alpha 2) 4)) alpha) (/.f64 (pow.f64 alpha 3) 4))
(/.f64 (-.f64 (*.f64 2 (neg.f64 (pow.f64 alpha 2))) (*.f64 alpha -4)) (*.f64 alpha (neg.f64 (pow.f64 alpha 2))))
(/.f64 (-.f64 (*.f64 2 (neg.f64 (pow.f64 alpha 2))) (*.f64 alpha -4)) (neg.f64 (pow.f64 alpha 3)))
(*.f64 1 (/.f64 (fma.f64 2 (pow.f64 alpha 2) (*.f64 alpha -4)) (pow.f64 alpha 3)))
(/.f64 (-.f64 (*.f64 -2 (/.f64 (pow.f64 alpha 2) 4)) (*.f64 alpha 1)) (*.f64 alpha (/.f64 (pow.f64 alpha 2) 4)))
(/.f64 (-.f64 (*.f64 -2 (/.f64 (pow.f64 alpha 2) 4)) alpha) (/.f64 (pow.f64 alpha 3) 4))
(/.f64 (-.f64 (*.f64 -2 (pow.f64 alpha 2)) (*.f64 alpha 4)) (pow.f64 alpha 3))
(/.f64 (fma.f64 -2 (pow.f64 alpha 2) (*.f64 alpha -4)) (pow.f64 alpha 3))
(/.f64 (fma.f64 (pow.f64 alpha 2) -2 (*.f64 alpha -4)) (pow.f64 alpha 3))
(/.f64 (-.f64 (*.f64 -2 (neg.f64 (pow.f64 alpha 2))) (*.f64 alpha -4)) (*.f64 alpha (neg.f64 (pow.f64 alpha 2))))
(/.f64 (fma.f64 -2 (neg.f64 (pow.f64 alpha 2)) (neg.f64 (*.f64 alpha -4))) (neg.f64 (pow.f64 alpha 3)))
(/.f64 (+.f64 (*.f64 2 (pow.f64 alpha 2)) (*.f64 alpha 4)) (neg.f64 (pow.f64 alpha 3)))
(/.f64 (neg.f64 (fma.f64 2 (pow.f64 alpha 2) (neg.f64 (*.f64 alpha 4)))) (neg.f64 (pow.f64 alpha 3)))
(/.f64 (-.f64 (*.f64 2 (neg.f64 (pow.f64 alpha 2))) (*.f64 alpha -4)) (neg.f64 (pow.f64 alpha 3)))
(*.f64 1 (/.f64 (fma.f64 2 (pow.f64 alpha 2) (*.f64 alpha -4)) (pow.f64 alpha 3)))
(/.f64 (neg.f64 (-.f64 (*.f64 8 (pow.f64 alpha -3)) (/.f64 64 (pow.f64 alpha 6)))) (neg.f64 (+.f64 (*.f64 4 (pow.f64 alpha -2)) (+.f64 (/.f64 16 (pow.f64 alpha 4)) (*.f64 8 (pow.f64 alpha -3))))))
(/.f64 (neg.f64 (-.f64 (*.f64 8 (pow.f64 alpha -3)) (/.f64 64 (pow.f64 alpha 6)))) (neg.f64 (fma.f64 4 (pow.f64 alpha -2) (+.f64 (*.f64 8 (pow.f64 alpha -3)) (/.f64 16 (pow.f64 alpha 4))))))
(*.f64 1 (/.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 -64 (pow.f64 alpha 6))) (fma.f64 4 (pow.f64 alpha -2) (fma.f64 8 (pow.f64 alpha -3) (/.f64 16 (pow.f64 alpha 4))))))
(/.f64 (neg.f64 (-.f64 (*.f64 4 (pow.f64 alpha -2)) (/.f64 16 (pow.f64 alpha 4)))) (neg.f64 (+.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2)))))
(/.f64 (neg.f64 (-.f64 (*.f64 4 (pow.f64 alpha -2)) (/.f64 16 (pow.f64 alpha 4)))) (+.f64 (/.f64 -2 alpha) (*.f64 -4 (pow.f64 alpha -2))))
(/.f64 (+.f64 (*.f64 -4 (pow.f64 alpha -2)) (/.f64 16 (pow.f64 alpha 4))) (fma.f64 -4 (pow.f64 alpha -2) (/.f64 -2 alpha)))
(/.f64 (+.f64 (*.f64 8 (pow.f64 alpha -3)) (pow.f64 (neg.f64 (*.f64 4 (pow.f64 alpha -2))) 3)) (+.f64 (*.f64 4 (pow.f64 alpha -2)) (-.f64 (*.f64 (neg.f64 (*.f64 4 (pow.f64 alpha -2))) (neg.f64 (*.f64 4 (pow.f64 alpha -2)))) (*.f64 (/.f64 2 alpha) (neg.f64 (*.f64 4 (pow.f64 alpha -2)))))))
(/.f64 (fma.f64 8 (pow.f64 alpha -3) (pow.f64 (*.f64 -4 (pow.f64 alpha -2)) 3)) (fma.f64 4 (pow.f64 alpha -2) (*.f64 (*.f64 -4 (pow.f64 alpha -2)) (-.f64 (*.f64 -4 (pow.f64 alpha -2)) (/.f64 2 alpha)))))
(/.f64 (fma.f64 8 (pow.f64 alpha -3) (*.f64 -64 (pow.f64 (pow.f64 alpha -2) 3))) (+.f64 (fma.f64 4 (pow.f64 alpha -2) (pow.f64 (*.f64 4 (pow.f64 alpha -2)) 2)) (/.f64 8 (pow.f64 alpha 3))))
(pow.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2))) 1)
(+.f64 (/.f64 2 alpha) (*.f64 -4 (pow.f64 alpha -2)))
(fma.f64 -4 (pow.f64 alpha -2) (/.f64 2 alpha))
(pow.f64 (cbrt.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2)))) 3)
(+.f64 (/.f64 2 alpha) (*.f64 -4 (pow.f64 alpha -2)))
(fma.f64 -4 (pow.f64 alpha -2) (/.f64 2 alpha))
(pow.f64 (pow.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2))) 3) 1/3)
(+.f64 (/.f64 2 alpha) (*.f64 -4 (pow.f64 alpha -2)))
(fma.f64 -4 (pow.f64 alpha -2) (/.f64 2 alpha))
(pow.f64 (sqrt.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2)))) 2)
(+.f64 (/.f64 2 alpha) (*.f64 -4 (pow.f64 alpha -2)))
(fma.f64 -4 (pow.f64 alpha -2) (/.f64 2 alpha))
(sqrt.f64 (pow.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2))) 2))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 2 alpha) (*.f64 -4 (pow.f64 alpha -2))) 2))
(fabs.f64 (fma.f64 -4 (pow.f64 alpha -2) (/.f64 2 alpha)))
(log.f64 (exp.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2)))))
(+.f64 (/.f64 2 alpha) (*.f64 -4 (pow.f64 alpha -2)))
(fma.f64 -4 (pow.f64 alpha -2) (/.f64 2 alpha))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2))))))
(+.f64 (/.f64 2 alpha) (*.f64 -4 (pow.f64 alpha -2)))
(fma.f64 -4 (pow.f64 alpha -2) (/.f64 2 alpha))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2))) 3))
(+.f64 (/.f64 2 alpha) (*.f64 -4 (pow.f64 alpha -2)))
(fma.f64 -4 (pow.f64 alpha -2) (/.f64 2 alpha))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2)))))
(+.f64 (/.f64 2 alpha) (*.f64 -4 (pow.f64 alpha -2)))
(fma.f64 -4 (pow.f64 alpha -2) (/.f64 2 alpha))
(exp.f64 (log.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2)))))
(+.f64 (/.f64 2 alpha) (*.f64 -4 (pow.f64 alpha -2)))
(fma.f64 -4 (pow.f64 alpha -2) (/.f64 2 alpha))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2)))) 1))
(+.f64 (/.f64 2 alpha) (*.f64 -4 (pow.f64 alpha -2)))
(fma.f64 -4 (pow.f64 alpha -2) (/.f64 2 alpha))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2)))))
(+.f64 (/.f64 2 alpha) (*.f64 -4 (pow.f64 alpha -2)))
(fma.f64 -4 (pow.f64 alpha -2) (/.f64 2 alpha))
(fma.f64 1 (/.f64 2 alpha) (neg.f64 (*.f64 4 (pow.f64 alpha -2))))
(+.f64 (/.f64 2 alpha) (*.f64 -4 (pow.f64 alpha -2)))
(fma.f64 -4 (pow.f64 alpha -2) (/.f64 2 alpha))
(fma.f64 2 (/.f64 1 alpha) (neg.f64 (*.f64 4 (pow.f64 alpha -2))))
(+.f64 (/.f64 2 alpha) (*.f64 -4 (pow.f64 alpha -2)))
(fma.f64 -4 (pow.f64 alpha -2) (/.f64 2 alpha))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2) (cbrt.f64 (/.f64 2 alpha)) (neg.f64 (*.f64 4 (pow.f64 alpha -2))))
(+.f64 (/.f64 2 alpha) (*.f64 -4 (pow.f64 alpha -2)))
(fma.f64 -4 (pow.f64 alpha -2) (/.f64 2 alpha))
(fma.f64 (sqrt.f64 (/.f64 2 alpha)) (sqrt.f64 (/.f64 2 alpha)) (neg.f64 (*.f64 4 (pow.f64 alpha -2))))
(+.f64 (/.f64 2 alpha) (*.f64 -4 (pow.f64 alpha -2)))
(fma.f64 -4 (pow.f64 alpha -2) (/.f64 2 alpha))

eval368.0ms (4.8%)

Compiler

Compiled 16670 to 13026 computations (21.9% saved)

prune158.0ms (2.1%)

Pruning

21 alts after pruning (11 fresh and 10 done)

PrunedKeptTotal
New6362638
Fresh099
Picked235
Done077
Total63821659
Accuracy
100.0%
Counts
659 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
27.0%
(/.f64 (/.f64 (/.f64 (fma.f64 2 beta 2) (sqrt.f64 alpha)) (sqrt.f64 alpha)) 2)
49.1%
(/.f64 (/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 6)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 4)))) (-.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) 2)
49.2%
(/.f64 (/.f64 (-.f64 1 (/.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 (+.f64 alpha 2) alpha))) (-.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) 2)
49.2%
(/.f64 (/.f64 (-.f64 1 (/.f64 1 (*.f64 (/.f64 (+.f64 alpha 2) alpha) (/.f64 (+.f64 alpha 2) alpha)))) (-.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) 2)
4.7%
(/.f64 (/.f64 (-.f64 1 (*.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (-.f64 2 (/.f64 2 alpha))) 2)
21.2%
(/.f64 (/.f64 (+.f64 (/.f64 32 (pow.f64 alpha 3)) (-.f64 (/.f64 4 alpha) (/.f64 12 (pow.f64 alpha 2)))) (-.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) 2)
27.6%
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
10.1%
(/.f64 (/.f64 (*.f64 2 beta) alpha) 2)
22.0%
(/.f64 (/.f64 2 alpha) 2)
44.0%
(/.f64 (/.f64 1 (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) -1) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1))) 2)
20.6%
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (pow.f64 alpha 2))) 2)
35.6%
(/.f64 (-.f64 2 (/.f64 alpha beta)) 2)
32.9%
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
49.2%
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
46.9%
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
74.5%
(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
21.2%
(/.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (*.f64 (/.f64 2 alpha) (/.f64 2 alpha)))) 2)
44.4%
(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
35.7%
(/.f64 (+.f64 2 (neg.f64 (/.f64 (*.f64 alpha 2) beta))) 2)
40.1%
(/.f64 2 2)
48.6%
(/.f64 1 2)
Compiler

Compiled 828 to 636 computations (23.2% saved)

regimes142.0ms (1.9%)

Counts
32 → 2
Calls
Call 1
Inputs
(/.f64 1 2)
(/.f64 2 2)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
(/.f64 (-.f64 2 (/.f64 alpha beta)) 2)
(/.f64 (/.f64 (*.f64 2 beta) alpha) 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 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(/.f64 (+.f64 2 (neg.f64 (/.f64 (*.f64 alpha 2) beta))) 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 1 (*.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (-.f64 2 (/.f64 2 alpha))) 2)
(/.f64 (/.f64 (-.f64 1 (/.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 (+.f64 alpha 2) alpha))) (-.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) 2)
(/.f64 (/.f64 (-.f64 1 (*.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (-.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) 2)
(/.f64 (/.f64 (-.f64 1 (/.f64 1 (*.f64 (/.f64 (+.f64 alpha 2) alpha) (/.f64 (+.f64 alpha 2) alpha)))) (-.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) 2)
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (pow.f64 alpha 2))) 2)
(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) 2)
(/.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (*.f64 (/.f64 2 alpha) (/.f64 2 alpha)))) 2)
(/.f64 (/.f64 1 (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) -1) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1))) 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 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)
(/.f64 (/.f64 1 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1))) 2)
(/.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (pow.f64 alpha 2)))) 2)
(/.f64 (/.f64 (+.f64 (/.f64 32 (pow.f64 alpha 3)) (-.f64 (/.f64 4 alpha) (/.f64 12 (pow.f64 alpha 2)))) (-.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) 2)
(/.f64 (/.f64 (/.f64 (fma.f64 2 beta 2) (sqrt.f64 alpha)) (sqrt.f64 alpha)) 2)
(/.f64 (/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 6)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 4)))) (-.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) 2)
(/.f64 (-.f64 (+.f64 (*.f64 (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)) (-.f64 (-.f64 -2 beta) beta)) (+.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3) (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)))) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 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:

87.0ms
alpha
22.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
17.0ms
beta
8.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
6.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
Results
AccuracySegmentsBranch
95.5%2alpha
76.1%1beta
99.9%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
99.9%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
99.9%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
Compiler

Compiled 45 to 31 computations (31.1% saved)

regimes28.0ms (0.4%)

Counts
24 → 2
Calls
Call 1
Inputs
(/.f64 1 2)
(/.f64 2 2)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
(/.f64 (-.f64 2 (/.f64 alpha beta)) 2)
(/.f64 (/.f64 (*.f64 2 beta) alpha) 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 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(/.f64 (+.f64 2 (neg.f64 (/.f64 (*.f64 alpha 2) beta))) 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 1 (*.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (-.f64 2 (/.f64 2 alpha))) 2)
(/.f64 (/.f64 (-.f64 1 (/.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 (+.f64 alpha 2) alpha))) (-.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) 2)
(/.f64 (/.f64 (-.f64 1 (*.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (-.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) 2)
(/.f64 (/.f64 (-.f64 1 (/.f64 1 (*.f64 (/.f64 (+.f64 alpha 2) alpha) (/.f64 (+.f64 alpha 2) alpha)))) (-.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) 2)
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (pow.f64 alpha 2))) 2)
(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) 2)
(/.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (*.f64 (/.f64 2 alpha) (/.f64 2 alpha)))) 2)
(/.f64 (/.f64 1 (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) -1) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1))) 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:

14.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
7.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
5.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
Results
AccuracySegmentsBranch
99.8%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
99.8%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
99.8%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
Compiler

Compiled 39 to 27 computations (30.8% saved)

regimes26.0ms (0.3%)

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

25.0ms
alpha
Results
AccuracySegmentsBranch
94.0%2alpha
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes34.0ms (0.4%)

Counts
12 → 2
Calls
Call 1
Inputs
(/.f64 1 2)
(/.f64 2 2)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
(/.f64 (-.f64 2 (/.f64 alpha beta)) 2)
(/.f64 (/.f64 (*.f64 2 beta) alpha) 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)
Outputs
(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
(/.f64 (/.f64 2 alpha) 2)
Calls

1 calls:

33.0ms
alpha
Results
AccuracySegmentsBranch
88.0%2alpha
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes80.0ms (1%)

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

2 calls:

55.0ms
beta
24.0ms
alpha
Results
AccuracySegmentsBranch
73.8%2beta
67.8%4alpha
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes12.0ms (0.2%)

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

1 calls:

12.0ms
beta
Results
AccuracySegmentsBranch
73.5%2beta
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

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

1 calls:

8.0ms
beta
Results
AccuracySegmentsBranch
73.3%2beta
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes13.0ms (0.2%)

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:

10.0ms
beta
3.0ms
alpha
Results
AccuracySegmentsBranch
48.6%1alpha
48.6%1beta
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999981737465661
-0.9989307522011708
Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-1.0
-0.9999981737465661
Compiler

Compiled 20 to 15 computations (25% saved)

bsearch20.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
20.0ms
2.15206655565462e+21
8.939231053915257e+23
Results
16.0ms112×256valid
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 212 to 175 computations (17.5% saved)

bsearch20.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
20.0ms
2.15206655565462e+21
8.939231053915257e+23
Results
13.0ms112×256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
4.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
Compiler

Compiled 180 to 151 computations (16.1% saved)

bsearch15.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
15.0ms
0.6720330476448397
3.6262163407432912
Results
6.0ms53×256valid
4.0ms17×1024valid
2.0ms512valid
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
0.0ms512valid
0.0ms512valid
0.0ms512valid
0.0ms2048valid
Compiler

Compiled 140 to 123 computations (12.1% saved)

bsearch17.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
17.0ms
0.6720330476448397
3.6262163407432912
Results
10.0ms66×256valid
1.0ms512valid
2.0ms1024valid
0.0ms256valid
0.0ms2048valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
Compiler

Compiled 116 to 105 computations (9.5% saved)

bsearch23.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
23.0ms
0.6720330476448397
3.6262163407432912
Results
13.0ms52×256valid
5.0ms20×1024valid
1.0ms512valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
Compiler

Compiled 92 to 87 computations (5.4% saved)

simplify35.0ms (0.5%)

Algorithm
egg-herbie
Rules
140×unsub-neg
88×neg-mul-1
66×+-commutative
60×distribute-lft-neg-in
54×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062546
187546
2104546
3120546
4146546
5194546
6242546
7312546
8400546
9426546
10441546
11442546
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -8998192055486251/9007199254740992) (/.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)) -1) (/.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 2200000000000000000000) (/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 2300000000000000000000) (/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 beta 2) (/.f64 (+.f64 (*.f64 beta 1/2) 1) 2) (/.f64 (-.f64 2 (/.f64 2 beta)) 2))
(if (<=.f64 beta 2) (/.f64 (+.f64 (*.f64 beta 1/2) 1) 2) (/.f64 2 2))
(if (<=.f64 beta 2) (/.f64 1 2) (/.f64 2 2))
(/.f64 1 2)
Outputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -8998192055486251/9007199254740992) (/.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)) -8998192055486251/9007199254740992) (/.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)) -8998192055486251/9007199254740992) (/.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 beta alpha) 2)) -8998192055486251/9007199254740992) (/.f64 (+.f64 (*.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (-.f64 (-.f64 -2 beta) beta)) (/.f64 (+.f64 beta (-.f64 beta -2)) alpha)) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1) (/.f64 (/.f64 (+.f64 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)) -1) (/.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 2200000000000000000000) (/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 2200000000000000000000) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2))
(if (<=.f64 alpha 2300000000000000000000) (/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 alpha 2300000000000000000000) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 beta 2) (/.f64 (+.f64 (*.f64 beta 1/2) 1) 2) (/.f64 (-.f64 2 (/.f64 2 beta)) 2))
(if (<=.f64 beta 2) (/.f64 (+.f64 1 (*.f64 beta 1/2)) 2) (/.f64 (-.f64 2 (/.f64 2 beta)) 2))
(if (<=.f64 beta 2) (/.f64 (+.f64 (*.f64 beta 1/2) 1) 2) (/.f64 2 2))
(if (<=.f64 beta 2) (/.f64 (+.f64 1 (*.f64 beta 1/2)) 2) 1)
(if (<=.f64 beta 2) (/.f64 1 2) (/.f64 2 2))
(if (<=.f64 beta 2) 1/2 1)
(/.f64 1 2)
1/2
Compiler

Compiled 175 to 131 computations (25.1% saved)

soundness754.0ms (9.8%)

Rules
1440×fma-neg
1440×fma-neg
1176×fma-def
1176×fma-def
692×sub-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
046310975
1137510541
2519410432
093218939
1248518291
093218939
1248518291
046310975
1137510541
2519410432
Stop Event
node limit
node limit
node limit
node limit
Compiler

Compiled 63 to 54 computations (14.3% saved)

end0.0ms (0%)

preprocess104.0ms (1.4%)

Compiler

Compiled 352 to 252 computations (28.4% saved)

Profiling

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