Octave 3.8, jcobi/1

Time bar (total: 15.4s)

analyze0.0ms (0%)

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

Compiled 22 to 16 computations (27.3% saved)

sample1.4s (9.3%)

Results
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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
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms2048valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms2048valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms2048valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
2.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms1024valid
Bogosity

preprocess581.0ms (3.8%)

Algorithm
egg-herbie
Rules
6132×fma-neg
1074×div-sub
820×sub-neg
700×associate-/r*
664×distribute-rgt-in
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
620-0-(+.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: 15 (0.0ms)

IterNodesCost
038359
196351
2204351
3534343
41351343
53461343
66068343
76956343
87145343
97181343
107228343
117228343
127435343
137550343
147552343
157552315
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 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
(-.f64 (/.f64 (/.f64 (-.f64 alpha beta) (-.f64 (-.f64 -2 alpha) beta)) 2) -1/2)
(+.f64 1/2 (/.f64 (/.f64 (-.f64 alpha beta) (-.f64 (-.f64 -2 alpha) beta)) 2))
(+.f64 1/2 (*.f64 (/.f64 (-.f64 alpha beta) (-.f64 (-.f64 -2 alpha) beta)) 1/2))
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 (-.f64 -2 alpha) beta)) 1/2 1/2)
(/.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 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
(-.f64 (/.f64 (/.f64 (-.f64 alpha beta) (-.f64 (-.f64 -2 alpha) beta)) 2) -1/2)
(+.f64 1/2 (/.f64 (/.f64 (-.f64 alpha beta) (-.f64 (-.f64 -2 alpha) beta)) 2))
(+.f64 1/2 (*.f64 (/.f64 (-.f64 alpha beta) (-.f64 (-.f64 -2 alpha) beta)) 1/2))
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 (-.f64 -2 alpha) beta)) 1/2 1/2)
(/.f64 (+.f64 (/.f64 (-.f64 beta (neg.f64 alpha)) (+.f64 (+.f64 (neg.f64 alpha) beta) 2)) 1) 2)
(/.f64 (+.f64 1 (/.f64 (-.f64 beta (neg.f64 alpha)) (+.f64 2 (-.f64 beta alpha)))) 2)
(/.f64 (+.f64 1 (/.f64 (+.f64 beta alpha) (+.f64 2 (-.f64 beta alpha)))) 2)
(/.f64 (+.f64 1 (/.f64 (+.f64 beta alpha) (-.f64 beta (+.f64 alpha -2)))) 2)
(/.f64 (+.f64 1 (/.f64 (+.f64 beta alpha) (+.f64 beta (-.f64 2 alpha)))) 2)
(+.f64 (/.f64 (+.f64 beta alpha) (+.f64 4 (*.f64 -2 (-.f64 alpha beta)))) 1/2)
(+.f64 1/2 (/.f64 (/.f64 (+.f64 beta alpha) 2) (+.f64 beta (-.f64 2 alpha))))
(+.f64 1/2 (/.f64 (*.f64 (+.f64 beta alpha) -1/2) (+.f64 alpha (-.f64 -2 beta))))
(-.f64 1/2 (/.f64 (+.f64 beta alpha) (fma.f64 2 (-.f64 alpha beta) -4)))
(/.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 (+.f64 beta alpha) (+.f64 2 (-.f64 alpha beta))) -1/2))
(+.f64 1/2 (*.f64 (+.f64 beta alpha) (/.f64 1/2 (+.f64 beta (-.f64 -2 alpha)))))
(fma.f64 (+.f64 beta alpha) (/.f64 1/2 (+.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 (+.f64 1 (/.f64 (-.f64 beta (neg.f64 alpha)) (+.f64 2 (-.f64 beta alpha)))) -2)
(/.f64 (+.f64 1 (/.f64 (+.f64 beta alpha) (+.f64 2 (-.f64 beta alpha)))) -2)
(/.f64 (+.f64 1 (/.f64 (+.f64 beta alpha) (-.f64 beta (+.f64 alpha -2)))) -2)
(-.f64 -1/2 (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (-.f64 2 alpha))) 2))
(+.f64 -1/2 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (-.f64 2 alpha))) -1/2))
(+.f64 -1/2 (*.f64 (+.f64 beta alpha) (/.f64 1/2 (+.f64 alpha (-.f64 -2 beta)))))
(+.f64 -1/2 (/.f64 (+.f64 beta alpha) (fma.f64 2 (-.f64 alpha beta) -4)))
(neg.f64 (/.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 (/.f64 (+.f64 beta alpha) (+.f64 2 (-.f64 alpha beta))) 2) 1/2)
(+.f64 -1/2 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (-.f64 -2 alpha))) -1/2))
(+.f64 -1/2 (*.f64 (+.f64 beta alpha) (/.f64 1/2 (+.f64 2 (-.f64 alpha beta)))))
(+.f64 -1/2 (/.f64 (+.f64 beta alpha) (fma.f64 2 (-.f64 alpha beta) 4)))
(/.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 (+.f64 1 (/.f64 (-.f64 alpha beta) (+.f64 (+.f64 beta alpha) 2))) 2)
(/.f64 (-.f64 1 (/.f64 (-.f64 alpha beta) (-.f64 (-.f64 -2 alpha) beta))) 2)
(+.f64 1/2 (*.f64 (/.f64 (-.f64 alpha beta) (-.f64 (-.f64 -2 alpha) beta)) -1/2))
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 (-.f64 -2 alpha) beta)) -1/2 1/2)
Compiler

Compiled 117 to 59 computations (49.6% saved)

eval1.0ms (0%)

Compiler

Compiled 79 to 51 computations (35.4% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
77.9%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
Compiler

Compiled 15 to 11 computations (26.7% saved)

localize68.0ms (0.4%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
99.9%
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))
78.0%
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)
Compiler

Compiled 51 to 24 computations (52.9% saved)

series17.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
3.0ms
alpha
@-inf
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)
2.0ms
alpha
@0
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)
2.0ms
alpha
@inf
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)
2.0ms
beta
@0
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)
1.0ms
beta
@0
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))

rewrite249.0ms (1.6%)

Algorithm
batch-egg-rewrite
Rules
1235×log1p-expm1-u
1235×expm1-log1p-u
708×fma-neg
95×add-cube-cbrt
93×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01480
120280
2317480
Stop Event
node limit
Counts
2 → 116
Calls
Call 1
Inputs
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))
Outputs
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 1)
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))
(-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))
(*.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))
(*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1)
(*.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(*.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))))
(/.f64 1 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)) (neg.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1))
(fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1)
(fma.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)
(fma.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)
(fma.f64 (pow.f64 (cbrt.f64 beta) 2) (/.f64 (cbrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (-.f64 (/.f64 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)
(fma.f64 (sqrt.f64 beta) (/.f64 (sqrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 beta (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 beta (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (cbrt.f64 beta) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2)) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(+.f64 (/.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 beta (+.f64 alpha 2))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (*.f64 (cbrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (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 beta (+.f64 alpha 2))))
(*.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)))))
(neg.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1))
(fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) -1)
(fma.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1 -1)
(fma.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) -1)
(fma.f64 (pow.f64 (cbrt.f64 beta) 2) (/.f64 (cbrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) -1)
(fma.f64 (sqrt.f64 beta) (/.f64 (sqrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) -1)
(fma.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) -1)
(fma.f64 (*.f64 (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 beta (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 beta (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (cbrt.f64 beta) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2)) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))

simplify151.0ms (1%)

Algorithm
egg-herbie
Rules
1404×fma-neg
894×unswap-sqr
690×sub-neg
506×fma-define
408×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
045112390
1128411925
2466011696
Stop Event
node limit
Counts
164 → 324
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 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 1)
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))
(-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))
(*.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))
(*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1)
(*.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(*.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))))
(/.f64 1 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)) (neg.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1))
(fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1)
(fma.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)
(fma.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)
(fma.f64 (pow.f64 (cbrt.f64 beta) 2) (/.f64 (cbrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (-.f64 (/.f64 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)
(fma.f64 (sqrt.f64 beta) (/.f64 (sqrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 beta (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 beta (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (cbrt.f64 beta) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2)) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(+.f64 (/.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 beta (+.f64 alpha 2))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (*.f64 (cbrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (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 beta (+.f64 alpha 2))))
(*.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)))))
(neg.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1))
(fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) -1)
(fma.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1 -1)
(fma.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) -1)
(fma.f64 (pow.f64 (cbrt.f64 beta) 2) (/.f64 (cbrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) -1)
(fma.f64 (sqrt.f64 beta) (/.f64 (sqrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) -1)
(fma.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) -1)
(fma.f64 (*.f64 (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 beta (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 beta (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (cbrt.f64 beta) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2)) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
Outputs
(-.f64 1 (/.f64 alpha (+.f64 2 alpha)))
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(+.f64 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 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 1 (fma.f64 beta (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 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)))
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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))
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2
(-.f64 (+.f64 2 (*.f64 -1 (/.f64 alpha beta))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(+.f64 2 (-.f64 (/.f64 (neg.f64 alpha) beta) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))))
(-.f64 (-.f64 2 (/.f64 alpha beta)) (+.f64 (/.f64 alpha beta) (/.f64 2 beta)))
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(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (fma.f64 2 beta 2) alpha)
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(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha))
(neg.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha))
(/.f64 (-.f64 (-.f64 -2 beta) beta) (neg.f64 alpha))
(/.f64 (+.f64 beta (+.f64 2 beta)) alpha)
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(*.f64 -1 (+.f64 (/.f64 (fma.f64 beta (+.f64 2 beta) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2)) (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha)))
(-.f64 (*.f64 (-.f64 (-.f64 -2 beta) beta) (/.f64 (+.f64 2 beta) (pow.f64 alpha 2))) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha))
(fma.f64 (+.f64 2 beta) (/.f64 (-.f64 (-.f64 -2 beta) beta) (pow.f64 alpha 2)) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha))
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(fma.f64 -1 (/.f64 (fma.f64 beta (+.f64 2 beta) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2)) (fma.f64 -1 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (*.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3))))))
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(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 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))))))
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(+.f64 -1 (/.f64 (-.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)) (-.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2))))
(fma.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) -1)
(fma.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (/.f64 1 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) -1)
(+.f64 -1 (/.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))))
(+.f64 -1 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 beta (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha 2) beta)) 2)) (/.f64 beta (cbrt.f64 (+.f64 (+.f64 alpha 2) beta))) (/.f64 alpha (neg.f64 (+.f64 (+.f64 alpha 2) beta))))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (/.f64 beta (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 alpha (-.f64 (-.f64 -2 beta) alpha)))
(+.f64 (/.f64 alpha (-.f64 (-.f64 -2 beta) alpha)) (/.f64 (/.f64 beta (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)))
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 beta (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 (+.f64 alpha 2) beta))) (/.f64 beta (sqrt.f64 (+.f64 (+.f64 alpha 2) beta))) (/.f64 alpha (neg.f64 (+.f64 (+.f64 alpha 2) beta))))
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 beta (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 alpha (-.f64 (-.f64 -2 beta) alpha)))
(+.f64 (/.f64 alpha (-.f64 (-.f64 -2 beta) alpha)) (/.f64 (/.f64 beta (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (cbrt.f64 beta) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha 2) beta)) 2)) (/.f64 (cbrt.f64 beta) (cbrt.f64 (+.f64 (+.f64 alpha 2) beta))) (/.f64 alpha (neg.f64 (+.f64 (+.f64 alpha 2) beta))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (/.f64 (cbrt.f64 beta) (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 alpha (-.f64 (-.f64 -2 beta) alpha)))
(+.f64 (/.f64 alpha (-.f64 (-.f64 -2 beta) alpha)) (pow.f64 (/.f64 (cbrt.f64 beta) (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))) 3))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 (+.f64 alpha 2) beta))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 (+.f64 alpha 2) beta))) (/.f64 alpha (neg.f64 (+.f64 (+.f64 alpha 2) beta))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 alpha (-.f64 (-.f64 -2 beta) alpha)))
(fma.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(fma.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha 2) beta)) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 (+.f64 alpha 2) beta))) (/.f64 alpha (neg.f64 (+.f64 (+.f64 alpha 2) beta))))
(fma.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 alpha (-.f64 (-.f64 -2 beta) alpha)))
(fma.f64 (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 (+.f64 alpha 2) beta))) (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 (+.f64 alpha 2) beta))) (/.f64 alpha (neg.f64 (+.f64 (+.f64 alpha 2) beta))))
(fma.f64 (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 alpha (-.f64 (-.f64 -2 beta) alpha)))
(fma.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 alpha beta) 3) 8)) (-.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) 4) (*.f64 2 (+.f64 alpha beta))) (/.f64 alpha (neg.f64 (+.f64 (+.f64 alpha 2) beta))))
(fma.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 alpha beta) 3) 8)) (+.f64 4 (+.f64 (*.f64 (+.f64 alpha beta) -2) (pow.f64 (+.f64 alpha beta) 2))) (/.f64 alpha (-.f64 (-.f64 -2 beta) alpha)))
(fma.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2)) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (-.f64 (+.f64 alpha beta) 2) (/.f64 alpha (neg.f64 (+.f64 (+.f64 alpha 2) beta))))
(fma.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (+.f64 alpha (+.f64 -2 beta)) (/.f64 alpha (-.f64 (-.f64 -2 beta) alpha)))

eval194.0ms (1.3%)

Compiler

Compiled 10041 to 7063 computations (29.7% saved)

prune62.0ms (0.4%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New3159324
Fresh000
Picked011
Done000
Total31510325
Accuracy
100.0%
Counts
325 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
26.0%
(/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2)
24.1%
(/.f64 (-.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))) 2)
24.7%
(/.f64 (-.f64 (*.f64 (-.f64 (-.f64 -2 beta) beta) (/.f64 (+.f64 2 beta) (pow.f64 alpha 2))) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 2)
53.6%
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
77.9%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
76.0%
(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
22.1%
(/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 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)))))) 2)
3.5%
(/.f64 (+.f64 -1 1) 2)
77.9%
(/.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)
36.8%
(/.f64 2 2)
Compiler

Compiled 409 to 321 computations (21.5% saved)

localize582.0ms (3.8%)

Localize:

Found 12 expressions with local error:

NewAccuracyProgram
96.2%
(/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))
93.3%
(-.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)))
93.3%
(+.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))))
86.0%
(/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))
100.0%
(/.f64 (+.f64 beta (+.f64 2 beta)) alpha)
100.0%
(+.f64 beta (+.f64 2 beta))
99.7%
(/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2)
100.0%
(+.f64 (/.f64 beta (+.f64 2 beta)) 1)
100.0%
(/.f64 beta (+.f64 2 beta))
99.9%
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
97.9%
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
77.7%
(log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
Compiler

Compiled 286 to 191 computations (33.2% saved)

series74.0ms (0.5%)

Counts
12 → 216
Calls

63 calls:

TimeVariablePointExpression
5.0ms
beta
@-inf
(/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2)
5.0ms
alpha
@-inf
(log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
4.0ms
beta
@0
(+.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))))
3.0ms
beta
@0
(log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
2.0ms
beta
@inf
(+.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))))

rewrite133.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
336×log1p-expm1-u
336×expm1-log1p-u
325×add-cube-cbrt
323×add-exp-log
323×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036488
1710464
Stop Event
node limit
Counts
12 → 275
Calls
Call 1
Inputs
(log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
(/.f64 beta (+.f64 2 beta))
(+.f64 (/.f64 beta (+.f64 2 beta)) 1)
(/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2)
(+.f64 beta (+.f64 2 beta))
(/.f64 (+.f64 beta (+.f64 2 beta)) alpha)
(/.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 (*.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 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))
Outputs
(+.f64 0 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)) (log.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) (log.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 1)
(*.f64 1 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2) (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (sqrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(pow.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 3)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2))
(log.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(exp.f64 (log.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 1))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 1)
(*.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 3)
(pow.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)
(pow.f64 (exp.f64 1) (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)) (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) (sqrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2))
(log.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(-.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 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 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 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 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.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)
(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))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 beta alpha) 3) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1))
(-.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 1)
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(+.f64 (fma.f64 1 (+.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) (neg.f64 (*.f64 (pow.f64 alpha -2) (*.f64 beta (+.f64 beta 2))))) (fma.f64 (neg.f64 (pow.f64 alpha -2)) (*.f64 beta (+.f64 beta 2)) (*.f64 (pow.f64 alpha -2) (*.f64 beta (+.f64 beta 2)))))
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(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)))) 2) (cbrt.f64 (+.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)))) (neg.f64 (*.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)) beta))) (fma.f64 (neg.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) beta (*.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)) beta)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)))) 2) (cbrt.f64 (+.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)))) (neg.f64 (*.f64 (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) 1))) (fma.f64 (neg.f64 (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))) 1 (*.f64 (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)))) 2) (cbrt.f64 (+.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)))) (neg.f64 (*.f64 (pow.f64 alpha -2) (*.f64 beta (+.f64 beta 2))))) (fma.f64 (neg.f64 (pow.f64 alpha -2)) (*.f64 beta (+.f64 beta 2)) (*.f64 (pow.f64 alpha -2) (*.f64 beta (+.f64 beta 2)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)))) 2) (cbrt.f64 (+.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)))) (neg.f64 (*.f64 (cbrt.f64 (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))) (pow.f64 (cbrt.f64 (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))))) (pow.f64 (cbrt.f64 (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))) 2) (*.f64 (cbrt.f64 (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))) (pow.f64 (cbrt.f64 (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))) 2))))
(+.f64 (fma.f64 (hypot.f64 (sqrt.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) (/.f64 (+.f64 beta 2) alpha)) (hypot.f64 (sqrt.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) (/.f64 (+.f64 beta 2) alpha)) (neg.f64 (*.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)) beta))) (fma.f64 (neg.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) beta (*.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)) beta)))
(+.f64 (fma.f64 (hypot.f64 (sqrt.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) (/.f64 (+.f64 beta 2) alpha)) (hypot.f64 (sqrt.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) (/.f64 (+.f64 beta 2) alpha)) (neg.f64 (*.f64 (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) 1))) (fma.f64 (neg.f64 (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))) 1 (*.f64 (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) 1)))
(+.f64 (fma.f64 (hypot.f64 (sqrt.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) (/.f64 (+.f64 beta 2) alpha)) (hypot.f64 (sqrt.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) (/.f64 (+.f64 beta 2) alpha)) (neg.f64 (*.f64 (pow.f64 alpha -2) (*.f64 beta (+.f64 beta 2))))) (fma.f64 (neg.f64 (pow.f64 alpha -2)) (*.f64 beta (+.f64 beta 2)) (*.f64 (pow.f64 alpha -2) (*.f64 beta (+.f64 beta 2)))))
(+.f64 (fma.f64 (hypot.f64 (sqrt.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) (/.f64 (+.f64 beta 2) alpha)) (hypot.f64 (sqrt.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) (/.f64 (+.f64 beta 2) alpha)) (neg.f64 (*.f64 (cbrt.f64 (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))) (pow.f64 (cbrt.f64 (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))))) (pow.f64 (cbrt.f64 (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))) 2) (*.f64 (cbrt.f64 (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))) (pow.f64 (cbrt.f64 (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))) 2))))
(*.f64 1 (+.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (-.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (-.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))))) 2) (cbrt.f64 (+.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (-.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (-.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (-.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) 3) (pow.f64 (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) 3)) (+.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) 2) (+.f64 (/.f64 (pow.f64 (*.f64 beta (+.f64 beta 2)) 2) (pow.f64 alpha 4)) (*.f64 (+.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) 2) (/.f64 (pow.f64 (*.f64 beta (+.f64 beta 2)) 2) (pow.f64 alpha 4))) (+.f64 (+.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))))
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) 3) (pow.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) 3)) (/.f64 (pow.f64 alpha 2) (*.f64 beta (+.f64 beta 2)))) (*.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (-.f64 (pow.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) 2) (*.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))))) 1)) (*.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (-.f64 (pow.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) 2) (*.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))))) (/.f64 (pow.f64 alpha 2) (*.f64 beta (+.f64 beta 2)))))
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) 3) (pow.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) 3)) (pow.f64 alpha 2)) (*.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (-.f64 (pow.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) 2) (*.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))))) (*.f64 beta (+.f64 beta 2)))) (*.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (-.f64 (pow.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) 2) (*.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))))) (pow.f64 alpha 2)))
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) 3) (pow.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) 3)) (neg.f64 (pow.f64 alpha 2))) (*.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (-.f64 (pow.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) 2) (*.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))))) (neg.f64 (*.f64 beta (+.f64 beta 2))))) (*.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (-.f64 (pow.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) 2) (*.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))))) (neg.f64 (pow.f64 alpha 2))))
(/.f64 (-.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (pow.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) 2)) (/.f64 (pow.f64 alpha 2) (*.f64 beta (+.f64 beta 2)))) (*.f64 (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) 1)) (*.f64 (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) (/.f64 (pow.f64 alpha 2) (*.f64 beta (+.f64 beta 2)))))
(/.f64 (-.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (pow.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) 2)) (pow.f64 alpha 2)) (*.f64 (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) (*.f64 beta (+.f64 beta 2)))) (*.f64 (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) (pow.f64 alpha 2)))
(/.f64 (-.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (pow.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) 2)) (neg.f64 (pow.f64 alpha 2))) (*.f64 (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) (neg.f64 (*.f64 beta (+.f64 beta 2))))) (*.f64 (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) (neg.f64 (pow.f64 alpha 2))))
(pow.f64 (+.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (-.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))))) 1)
(pow.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (-.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))))) 3)
(pow.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (-.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (-.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))))) 2)
(sqrt.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (-.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))))) 2))
(log.f64 (exp.f64 (+.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (-.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (-.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))))))))
(cbrt.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (-.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))))) 3))
(expm1.f64 (log1p.f64 (+.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (-.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))))))
(log1p.f64 (expm1.f64 (+.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (-.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))))))
(exp.f64 (log.f64 (+.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (-.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (-.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))))) 1))
(fma.f64 1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (-.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))))
(fma.f64 1 (+.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) (neg.f64 (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))))
(fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (-.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))))
(fma.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) -1 (-.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)))) 2) (cbrt.f64 (+.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)))) (neg.f64 (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)) 2) (cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)) (-.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))))
(fma.f64 (hypot.f64 (sqrt.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) (/.f64 (+.f64 beta 2) alpha)) (hypot.f64 (sqrt.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) (/.f64 (+.f64 beta 2) alpha)) (neg.f64 (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))))
(fma.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 beta 2) alpha) (-.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2))) 1)
(*.f64 1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2))
(*.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2))
(*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha -2))
(*.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) -1)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)) 2) (cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)))
(*.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 beta 2) alpha))
(pow.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) 1)
(pow.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)) 3)
(pow.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) 3) 1/3)
(pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)
(pow.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2)) -1)
(neg.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2))
(sqrt.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)))
(log.f64 (exp.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) 3))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (+.f64 beta 2) 2) 3) (pow.f64 (pow.f64 alpha 2) 3)))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)))
(exp.f64 (log.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)) 1))

simplify415.0ms (2.7%)

Algorithm
egg-herbie
Rules
1596×fma-define
800×times-frac
652×distribute-lft-in
514×sqr-pow
426×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0108933491
1329632010
Stop Event
node limit
Counts
491 → 674
Calls
Call 1
Inputs
(log.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))
(+.f64 (log.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (*.f64 beta (+.f64 (/.f64 1 (*.f64 (+.f64 2 alpha) (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))))))
(+.f64 (log.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) 2) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2))) (*.f64 2 (/.f64 (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))))))) (*.f64 beta (+.f64 (/.f64 1 (*.f64 (+.f64 2 alpha) (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))))))))
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2
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2
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(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
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(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha))
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(*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))
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1
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1
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(-.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)))
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(/.f64 beta (+.f64 2 beta))
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(+.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))))
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-1
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha)) 1)
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(*.f64 1/2 beta)
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(+.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 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 alpha)
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(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 beta alpha)
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(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 beta alpha)
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
2
(+.f64 2 (*.f64 2 beta))
(+.f64 2 (*.f64 2 beta))
(+.f64 2 (*.f64 2 beta))
(*.f64 2 beta)
(+.f64 2 (*.f64 2 beta))
(+.f64 2 (*.f64 2 beta))
(+.f64 2 (*.f64 2 beta))
(*.f64 2 beta)
(+.f64 2 (*.f64 2 beta))
(+.f64 2 (*.f64 2 beta))
(+.f64 2 (*.f64 2 beta))
(/.f64 2 alpha)
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 beta alpha))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
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(*.f64 2 (/.f64 beta alpha))
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(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
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(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
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(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
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(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(*.f64 2 (/.f64 beta (pow.f64 alpha 2)))
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(/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))
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(/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))
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(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
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(*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
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(*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)))
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(*.f64 -1 (/.f64 (-.f64 (*.f64 -2 beta) 2) alpha))
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(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
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(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
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(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
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(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
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(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))) (*.f64 2 (/.f64 1 alpha)))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
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(/.f64 (-.f64 (*.f64 -1 (pow.f64 (+.f64 2 beta) 2)) (*.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2))
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(*.f64 -1 (/.f64 (-.f64 (*.f64 -2 beta) 2) alpha))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -2 beta) 2) alpha)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)))) (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -2 beta) 2) alpha)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)))) (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -2 beta) 2) alpha)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)))) (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2)))
(/.f64 4 (pow.f64 alpha 2))
(+.f64 (*.f64 4 (/.f64 beta (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (*.f64 4 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
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(/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))
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(/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))
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(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 1)
(*.f64 1 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
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(pow.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 3)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)
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(log.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
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(exp.f64 (log.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
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(pow.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) 3) 1/3)
(pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)
(pow.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2)) -1)
(neg.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2))
(sqrt.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)))
(log.f64 (exp.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) 3))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (+.f64 beta 2) 2) 3) (pow.f64 (pow.f64 alpha 2) 3)))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)))
(exp.f64 (log.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)) 1))
Outputs
(log.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))
(log.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(log1p.f64 (/.f64 alpha (fma.f64 alpha -1 -2)))
(+.f64 (log.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (*.f64 beta (+.f64 (/.f64 1 (*.f64 (+.f64 2 alpha) (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))))))
(+.f64 (log.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (*.f64 beta (+.f64 (/.f64 1 (*.f64 (+.f64 alpha 2) (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (/.f64 alpha (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (+.f64 alpha 2) 2))))))
(fma.f64 beta (+.f64 (/.f64 (/.f64 1 (+.f64 alpha 2)) (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (/.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (log1p.f64 (/.f64 alpha (fma.f64 alpha -1 -2))))
(+.f64 (log.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) 2) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2))) (*.f64 2 (/.f64 (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))))))) (*.f64 beta (+.f64 (/.f64 1 (*.f64 (+.f64 2 alpha) (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))))))))
(+.f64 (log.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (fma.f64 1/2 (*.f64 (pow.f64 beta 2) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) 2) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)) (*.f64 2 (/.f64 (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))))) (*.f64 beta (+.f64 (/.f64 1 (*.f64 (+.f64 alpha 2) (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (/.f64 alpha (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (+.f64 alpha 2) 2)))))))
(+.f64 (log1p.f64 (/.f64 alpha (fma.f64 alpha -1 -2))) (fma.f64 beta (+.f64 (/.f64 (/.f64 1 (+.f64 alpha 2)) (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (/.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (*.f64 (*.f64 1/2 (pow.f64 beta 2)) (-.f64 (*.f64 2 (/.f64 (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) 2) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2))))))
(+.f64 (log.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 -6 (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) 3) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 3))) (*.f64 6 (/.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))) (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))))))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) 2) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2))) (*.f64 2 (/.f64 (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))))))) (*.f64 beta (+.f64 (/.f64 1 (*.f64 (+.f64 2 alpha) (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))))))))
(+.f64 (log.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (fma.f64 1/6 (*.f64 (pow.f64 beta 3) (fma.f64 -6 (*.f64 (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2))) (fma.f64 2 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) 3) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3)) (*.f64 6 (/.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4))) (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))))) (fma.f64 1/2 (*.f64 (pow.f64 beta 2) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) 2) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)) (*.f64 2 (/.f64 (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))))) (*.f64 beta (+.f64 (/.f64 1 (*.f64 (+.f64 alpha 2) (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (/.f64 alpha (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (+.f64 alpha 2) 2))))))))
(+.f64 (log1p.f64 (/.f64 alpha (fma.f64 alpha -1 -2))) (fma.f64 1/6 (*.f64 (pow.f64 beta 3) (fma.f64 -6 (*.f64 (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2))) (fma.f64 2 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) 3) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3)) (*.f64 6 (/.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4))) (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))))) (fma.f64 beta (+.f64 (/.f64 (/.f64 1 (+.f64 alpha 2)) (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (/.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (*.f64 (*.f64 1/2 (pow.f64 beta 2)) (-.f64 (*.f64 2 (/.f64 (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) 2) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)))))))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)))
(+.f64 (log.f64 2) (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta)))
(fma.f64 -1/2 (/.f64 (fma.f64 alpha 2 2) beta) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (*.f64 1/2 (/.f64 (-.f64 (+.f64 (*.f64 -1/4 (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2)) (*.f64 alpha (+.f64 2 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 beta 2)))))
(+.f64 (log.f64 2) (fma.f64 -1/2 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) (*.f64 1/2 (/.f64 (-.f64 (fma.f64 -1/4 (pow.f64 (+.f64 2 (*.f64 alpha 2)) 2) (*.f64 alpha (+.f64 alpha 2))) (neg.f64 (pow.f64 (+.f64 alpha 2) 2))) (pow.f64 beta 2)))))
(+.f64 (log.f64 2) (fma.f64 1/2 (/.f64 (fma.f64 -1/4 (pow.f64 (fma.f64 alpha 2 2) 2) (fma.f64 alpha (+.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2))) (pow.f64 beta 2)) (*.f64 -1/2 (/.f64 (fma.f64 alpha 2 2) beta))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 -1/4 (pow.f64 (+.f64 2 (*.f64 2 alpha)) 3)) (+.f64 (*.f64 3/2 (*.f64 (+.f64 2 (*.f64 2 alpha)) (-.f64 (*.f64 alpha (+.f64 2 alpha)) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 3 (-.f64 (*.f64 -1 (*.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 (+.f64 2 alpha) 3))))) (pow.f64 beta 3))) (*.f64 1/2 (/.f64 (-.f64 (+.f64 (*.f64 -1/4 (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2)) (*.f64 alpha (+.f64 2 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 beta 2))))))
(+.f64 (log.f64 2) (fma.f64 -1/2 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) (fma.f64 1/6 (/.f64 (fma.f64 -1/4 (pow.f64 (+.f64 2 (*.f64 alpha 2)) 3) (fma.f64 3/2 (*.f64 (+.f64 2 (*.f64 alpha 2)) (-.f64 (*.f64 alpha (+.f64 alpha 2)) (neg.f64 (pow.f64 (+.f64 alpha 2) 2)))) (*.f64 3 (-.f64 (*.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 (+.f64 alpha 2) 3))))) (pow.f64 beta 3)) (*.f64 1/2 (/.f64 (-.f64 (fma.f64 -1/4 (pow.f64 (+.f64 2 (*.f64 alpha 2)) 2) (*.f64 alpha (+.f64 alpha 2))) (neg.f64 (pow.f64 (+.f64 alpha 2) 2))) (pow.f64 beta 2))))))
(+.f64 (fma.f64 -1/2 (/.f64 (fma.f64 alpha 2 2) beta) (log.f64 2)) (fma.f64 1/6 (/.f64 (fma.f64 -1/4 (pow.f64 (fma.f64 alpha 2 2) 3) (fma.f64 3 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (-.f64 (fma.f64 alpha -1 -2) alpha)) (*.f64 (*.f64 3/2 (fma.f64 alpha 2 2)) (fma.f64 alpha (+.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2))))) (pow.f64 beta 3)) (*.f64 1/2 (/.f64 (fma.f64 -1/4 (pow.f64 (fma.f64 alpha 2 2) 2) (fma.f64 alpha (+.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2))) (pow.f64 beta 2)))))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)))
(+.f64 (log.f64 2) (*.f64 1/2 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) beta)))
(fma.f64 1/2 (/.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) beta) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) (*.f64 -1/4 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2))) (pow.f64 beta 2))) (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta))))
(+.f64 (log.f64 2) (*.f64 1/2 (+.f64 (/.f64 (fma.f64 -1 (*.f64 (+.f64 alpha 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))) (*.f64 -1/4 (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2))) (pow.f64 beta 2)) (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) beta))))
(fma.f64 1/2 (+.f64 (/.f64 (fma.f64 -1/4 (pow.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) 2) (*.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) (fma.f64 alpha -1 -2))) (pow.f64 beta 2)) (/.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) beta)) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/6 (/.f64 (+.f64 (*.f64 -3 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) (+.f64 (*.f64 -3/2 (*.f64 (+.f64 2 alpha) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2))) (*.f64 -1/4 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 3)))) (pow.f64 beta 3))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) (*.f64 -1/4 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2))) (pow.f64 beta 2))) (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)))))
(+.f64 (log.f64 2) (fma.f64 -1/6 (/.f64 (fma.f64 -3 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))) (fma.f64 -3/2 (*.f64 (+.f64 alpha 2) (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2)) (*.f64 -1/4 (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 3)))) (pow.f64 beta 3)) (*.f64 1/2 (+.f64 (/.f64 (fma.f64 -1 (*.f64 (+.f64 alpha 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))) (*.f64 -1/4 (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2))) (pow.f64 beta 2)) (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) beta)))))
(+.f64 (log.f64 2) (fma.f64 1/2 (+.f64 (/.f64 (fma.f64 -1/4 (pow.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) 2) (*.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) (fma.f64 alpha -1 -2))) (pow.f64 beta 2)) (/.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) beta)) (*.f64 -1/6 (/.f64 (fma.f64 -3 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (-.f64 (fma.f64 alpha -1 -2) alpha)) (fma.f64 (*.f64 -3/2 (+.f64 alpha 2)) (pow.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) 2) (*.f64 -1/4 (pow.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) 3)))) (pow.f64 beta 3)))))
(log.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))))
(log1p.f64 (/.f64 beta (+.f64 2 beta)))
(+.f64 (log.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta)))) (*.f64 -1 (/.f64 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (+.f64 1 (/.f64 beta (+.f64 2 beta))))))
(+.f64 (log1p.f64 (/.f64 beta (+.f64 2 beta))) (/.f64 (*.f64 (neg.f64 alpha) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (+.f64 1 (/.f64 beta (+.f64 2 beta)))))
(-.f64 (log1p.f64 (/.f64 beta (+.f64 2 beta))) (*.f64 alpha (/.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (+.f64 1 (/.f64 beta (+.f64 2 beta))))))
(+.f64 (log.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (+.f64 1 (/.f64 beta (+.f64 2 beta))))) (*.f64 1/2 (*.f64 (pow.f64 alpha 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2))) (*.f64 2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 3)))) (+.f64 1 (/.f64 beta (+.f64 2 beta))))))))))
(+.f64 (log1p.f64 (/.f64 beta (+.f64 2 beta))) (fma.f64 -1 (*.f64 alpha (/.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (+.f64 1 (/.f64 beta (+.f64 2 beta))))) (*.f64 1/2 (*.f64 (pow.f64 alpha 2) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2)) (*.f64 2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3))) (+.f64 1 (/.f64 beta (+.f64 2 beta))))))))))
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2
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(+.f64 2 (neg.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta)))
(-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))
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2
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(-.f64 (-.f64 2 (/.f64 alpha beta)) (+.f64 (/.f64 alpha beta) (/.f64 2 beta)))
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(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (fma.f64 2 beta 2) alpha)
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(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha))
(neg.f64 (/.f64 (-.f64 (-.f64 (neg.f64 beta) 2) beta) alpha))
(/.f64 (-.f64 (-.f64 -2 beta) beta) (neg.f64 alpha))
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(-.f64 (*.f64 (-.f64 -2 beta) (/.f64 (+.f64 (+.f64 beta beta) 2) (pow.f64 alpha 2))) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha))
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(*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))
(/.f64 (neg.f64 alpha) (+.f64 alpha 2))
(/.f64 alpha (fma.f64 alpha -1 -2))
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(fma.f64 beta (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) (/.f64 alpha (fma.f64 alpha -1 -2)))
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1
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(-.f64 (-.f64 1 (/.f64 alpha beta)) (+.f64 (/.f64 alpha beta) (/.f64 2 beta)))
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1
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-1
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-1
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(*.f64 1/2 beta)
(*.f64 beta 1/2)
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(fma.f64 (pow.f64 beta 2) -1/4 (fma.f64 (pow.f64 beta 3) 1/8 (*.f64 beta 1/2)))
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(fma.f64 -1/4 (pow.f64 beta 2) (fma.f64 -1/16 (pow.f64 beta 4) (fma.f64 1/8 (pow.f64 beta 3) (*.f64 beta 1/2))))
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1
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1
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1
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2
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(-.f64 2 (/.f64 2 beta))
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2
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
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(/.f64 1 alpha)
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2
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(pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)
(pow.f64 (/.f64 (+.f64 2 beta) alpha) 2)
(pow.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2)) -1)
(/.f64 1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 beta) 2)))
(neg.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2))
(neg.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)))
(neg.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 2))
(sqrt.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)))
(sqrt.f64 (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 4))
(log.f64 (exp.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)))
(pow.f64 (/.f64 (+.f64 2 beta) alpha) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2))))
(pow.f64 (/.f64 (+.f64 2 beta) alpha) 2)
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) 3))
(pow.f64 (/.f64 (+.f64 2 beta) alpha) 2)
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (+.f64 beta 2) 2) 3) (pow.f64 (pow.f64 alpha 2) 3)))
(pow.f64 (/.f64 (+.f64 2 beta) alpha) 2)
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)))
(pow.f64 (/.f64 (+.f64 2 beta) alpha) 2)
(exp.f64 (log.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)))
(pow.f64 (/.f64 (+.f64 2 beta) alpha) 2)
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)) 1))
(pow.f64 (/.f64 (+.f64 2 beta) alpha) 2)

eval578.0ms (3.8%)

Compiler

Compiled 23089 to 17147 computations (25.7% saved)

prune173.0ms (1.1%)

Pruning

20 alts after pruning (15 fresh and 5 done)

PrunedKeptTotal
New66212674
Fresh134
Picked145
Done011
Total66420684
Accuracy
100.0%
Counts
684 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
25.6%
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha) 1/2)) 3)
77.5%
(/.f64 (pow.f64 (exp.f64 1) (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)
26.0%
(/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2)
26.0%
(/.f64 (/.f64 1 (/.f64 alpha (+.f64 (+.f64 beta beta) 2))) 2)
14.1%
(/.f64 (-.f64 (/.f64 (+.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 2 beta) alpha) 2) (/.f64 4 (pow.f64 alpha 2))) (pow.f64 alpha 2)) (*.f64 (/.f64 (-.f64 (*.f64 2 beta) 2) alpha) (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)))) (*.f64 (/.f64 (-.f64 (*.f64 2 beta) 2) alpha) (pow.f64 alpha 2))) (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))) 2)
24.1%
(/.f64 (-.f64 (+.f64 (*.f64 -1 (*.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 beta 2) alpha))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))) (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))) 2)
24.7%
(/.f64 (-.f64 (*.f64 (-.f64 (-.f64 -2 beta) beta) (/.f64 (+.f64 2 beta) (pow.f64 alpha 2))) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 2)
24.9%
(/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -2 beta) 2) alpha)) (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))) 2)
28.9%
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
53.6%
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
77.9%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
76.0%
(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
50.0%
(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
22.1%
(/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 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)))))) 2)
77.0%
(/.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 3)) 2)
77.9%
(/.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)
9.2%
(/.f64 beta alpha)
36.8%
(/.f64 2 2)
21.1%
(/.f64 1 alpha)
26.0%
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
Compiler

Compiled 719 to 556 computations (22.7% saved)

localize644.0ms (4.2%)

Localize:

Found 10 expressions with local error:

NewAccuracyProgram
99.6%
(*.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 beta 2) alpha))
93.3%
(-.f64 (+.f64 (*.f64 -1 (*.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 beta 2) alpha))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))) (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2)))
93.3%
(+.f64 (*.f64 -1 (*.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 beta 2) alpha))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))))
86.0%
(/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))
100.0%
(/.f64 alpha (+.f64 (+.f64 beta beta) 2))
99.9%
(/.f64 1 (/.f64 alpha (+.f64 (+.f64 beta beta) 2)))
99.7%
(/.f64 (/.f64 1 (/.f64 alpha (+.f64 (+.f64 beta beta) 2))) 2)
99.9%
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
97.5%
(pow.f64 (exp.f64 1) (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
77.7%
(log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
Compiler

Compiled 311 to 198 computations (36.3% saved)

series48.0ms (0.3%)

Counts
7 → 168
Calls

42 calls:

TimeVariablePointExpression
4.0ms
alpha
@0
(pow.f64 (exp.f64 1) (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
4.0ms
beta
@-inf
(-.f64 (+.f64 (*.f64 -1 (*.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 beta 2) alpha))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))) (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2)))
3.0ms
beta
@0
(pow.f64 (exp.f64 1) (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
3.0ms
alpha
@-inf
(pow.f64 (exp.f64 1) (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
3.0ms
alpha
@inf
(pow.f64 (exp.f64 1) (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))

rewrite100.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
352×log1p-expm1-u
352×expm1-log1p-u
341×add-cube-cbrt
340×add-log-exp
339×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
038326
1768312
Stop Event
node limit
Counts
7 → 157
Calls
Call 1
Inputs
(pow.f64 (exp.f64 1) (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (/.f64 1 (/.f64 alpha (+.f64 (+.f64 beta beta) 2))) 2)
(/.f64 1 (/.f64 alpha (+.f64 (+.f64 beta beta) 2)))
(/.f64 alpha (+.f64 (+.f64 beta beta) 2))
(+.f64 (*.f64 -1 (*.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 beta 2) alpha))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 beta 2) alpha))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))) (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2)))
(*.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 beta 2) alpha))
Outputs
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 1)
(*.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(*.f64 (pow.f64 1 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 2)) (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (pow.f64 (cbrt.f64 (E.f64)) (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(*.f64 (pow.f64 (sqrt.f64 (E.f64)) (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (pow.f64 (sqrt.f64 (E.f64)) (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(log.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (/.f64 1 alpha) (fma.f64 2 beta 2)) 1/2))) 1)
(*.f64 1 (*.f64 (*.f64 (/.f64 1 alpha) (fma.f64 2 beta 2)) 1/2))
(*.f64 (*.f64 (/.f64 1 alpha) (fma.f64 2 beta 2)) 1/2)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 (/.f64 1 alpha) (fma.f64 2 beta 2)) 1/2)) 2) (cbrt.f64 (*.f64 (*.f64 (/.f64 1 alpha) (fma.f64 2 beta 2)) 1/2)))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 2 (/.f64 alpha (fma.f64 2 beta 2))))) (/.f64 1 (sqrt.f64 (*.f64 2 (/.f64 alpha (fma.f64 2 beta 2))))))
(pow.f64 (*.f64 (*.f64 (/.f64 1 alpha) (fma.f64 2 beta 2)) 1/2) 1)
(pow.f64 (cbrt.f64 (*.f64 (*.f64 (/.f64 1 alpha) (fma.f64 2 beta 2)) 1/2)) 3)
(pow.f64 (pow.f64 (*.f64 (*.f64 (/.f64 1 alpha) (fma.f64 2 beta 2)) 1/2) 3) 1/3)
(pow.f64 (/.f64 1 (sqrt.f64 (*.f64 2 (/.f64 alpha (fma.f64 2 beta 2))))) 2)
(pow.f64 (/.f64 2 (*.f64 (/.f64 1 alpha) (fma.f64 2 beta 2))) -1)
(pow.f64 (*.f64 2 (/.f64 alpha (fma.f64 2 beta 2))) -1)
(log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 1 alpha)) (fma.f64 2 beta 2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (/.f64 1 alpha) (fma.f64 2 beta 2)) 1/2))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 (/.f64 1 alpha) (fma.f64 2 beta 2)) 1/2) 3))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (/.f64 1 alpha) (fma.f64 2 beta 2)) 1/2)))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (/.f64 1 alpha) (fma.f64 2 beta 2)) 1/2)))
(exp.f64 (neg.f64 (log.f64 (*.f64 2 (/.f64 alpha (fma.f64 2 beta 2))))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 2 (/.f64 alpha (fma.f64 2 beta 2))))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 1 alpha) (fma.f64 2 beta 2)))) 1)
(*.f64 1 (*.f64 (/.f64 1 alpha) (fma.f64 2 beta 2)))
(*.f64 (/.f64 1 alpha) (fma.f64 2 beta 2))
(*.f64 (/.f64 1 alpha) (pow.f64 (/.f64 1 (fma.f64 2 beta 2)) -1))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 alpha (fma.f64 2 beta 2)) -2)) (/.f64 1 (cbrt.f64 (/.f64 alpha (fma.f64 2 beta 2)))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 alpha (fma.f64 2 beta 2)))) (/.f64 1 (sqrt.f64 (/.f64 alpha (fma.f64 2 beta 2)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (fma.f64 2 beta 2))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 alpha (fma.f64 2 beta 2))) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 alpha (fma.f64 2 beta 2))) -1) (pow.f64 (sqrt.f64 (/.f64 alpha (fma.f64 2 beta 2))) -1))
(pow.f64 (/.f64 alpha (fma.f64 2 beta 2)) -1)
(pow.f64 (*.f64 (/.f64 1 alpha) (fma.f64 2 beta 2)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (/.f64 alpha (fma.f64 2 beta 2)))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 1 alpha) (fma.f64 2 beta 2)) 3) 1/3)
(pow.f64 (/.f64 1 (sqrt.f64 (/.f64 alpha (fma.f64 2 beta 2)))) 2)
(pow.f64 (/.f64 (/.f64 alpha (fma.f64 2 beta 2)) 1) -1)
(log.f64 (pow.f64 (exp.f64 (/.f64 1 alpha)) (fma.f64 2 beta 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 1 alpha) (fma.f64 2 beta 2)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 1 alpha) (fma.f64 2 beta 2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 alpha) 3) (pow.f64 (fma.f64 2 beta 2) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 1 alpha) (fma.f64 2 beta 2))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 1 alpha) (fma.f64 2 beta 2))))
(exp.f64 (neg.f64 (log.f64 (/.f64 alpha (fma.f64 2 beta 2)))))
(exp.f64 (*.f64 (log.f64 (/.f64 alpha (fma.f64 2 beta 2))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (/.f64 alpha (fma.f64 2 beta 2)))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 alpha (fma.f64 2 beta 2)))) 1)
(*.f64 1 (/.f64 alpha (fma.f64 2 beta 2)))
(*.f64 alpha (/.f64 1 (fma.f64 2 beta 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (fma.f64 2 beta 2))) 2) (cbrt.f64 (/.f64 alpha (fma.f64 2 beta 2))))
(*.f64 (sqrt.f64 (/.f64 alpha (fma.f64 2 beta 2))) (sqrt.f64 (/.f64 alpha (fma.f64 2 beta 2))))
(pow.f64 (/.f64 alpha (fma.f64 2 beta 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 alpha (fma.f64 2 beta 2))) 3)
(pow.f64 (pow.f64 (/.f64 alpha (fma.f64 2 beta 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 alpha (fma.f64 2 beta 2))) 2)
(pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) -1)
(log.f64 (exp.f64 (/.f64 alpha (fma.f64 2 beta 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 alpha (fma.f64 2 beta 2)))))
(cbrt.f64 (pow.f64 (/.f64 alpha (fma.f64 2 beta 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 (fma.f64 2 beta 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 alpha (fma.f64 2 beta 2))))
(log1p.f64 (expm1.f64 (/.f64 alpha (fma.f64 2 beta 2))))
(exp.f64 (log.f64 (/.f64 alpha (fma.f64 2 beta 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 alpha (fma.f64 2 beta 2))) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))))) 1)
(*.f64 1 (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)))) 2) (cbrt.f64 (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)))))
(*.f64 (sqrt.f64 (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)))) (sqrt.f64 (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)))))
(/.f64 (-.f64 (pow.f64 (neg.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)) 2) (pow.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) 2)) (-.f64 (neg.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))))
(/.f64 (+.f64 (pow.f64 (neg.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)) 3) (pow.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) 3)) (+.f64 (pow.f64 (neg.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)) 2) (-.f64 (pow.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) 2) (*.f64 (neg.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))))))
(pow.f64 (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) 1)
(pow.f64 (cbrt.f64 (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)))) 3)
(pow.f64 (pow.f64 (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)))) 2)
(log.f64 (exp.f64 (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))))))
(cbrt.f64 (pow.f64 (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)))))
(log1p.f64 (expm1.f64 (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)))))
(exp.f64 (log.f64 (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)))) 1))
(fma.f64 1 (neg.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)))
(fma.f64 1 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (neg.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)))
(fma.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)) (neg.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)))
(fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)))
(fma.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) -1 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) 2) (cbrt.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) (neg.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2))) 2) (cbrt.f64 (neg.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2))) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)))
(fma.f64 (sqrt.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) (sqrt.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) (neg.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)))
(fma.f64 (*.f64 (/.f64 (+.f64 beta 2) alpha) (sqrt.f64 -1)) (*.f64 (/.f64 (+.f64 beta 2) alpha) (sqrt.f64 -1)) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)))
(fma.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (/.f64 (+.f64 beta 2) alpha) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)))
(+.f64 (neg.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)) (-.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))))
(+.f64 (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) (neg.f64 (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))))
(+.f64 (-.f64 (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (*.f64 beta (+.f64 beta 2))) alpha)) (/.f64 (sqrt.f64 (*.f64 beta (+.f64 beta 2))) alpha) (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))))
(+.f64 (fma.f64 1 (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) (neg.f64 (*.f64 (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) 1))) (fma.f64 (neg.f64 (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))) 1 (*.f64 (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) 1)))
(+.f64 (fma.f64 1 (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) (neg.f64 (*.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)) beta))) (fma.f64 (neg.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) beta (*.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)) beta)))
(+.f64 (fma.f64 1 (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) (neg.f64 (*.f64 (pow.f64 alpha -2) (*.f64 beta (+.f64 beta 2))))) (fma.f64 (neg.f64 (pow.f64 alpha -2)) (*.f64 beta (+.f64 beta 2)) (*.f64 (pow.f64 alpha -2) (*.f64 beta (+.f64 beta 2)))))
(+.f64 (fma.f64 1 (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) (neg.f64 (*.f64 (cbrt.f64 (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))) (pow.f64 (cbrt.f64 (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))))) (pow.f64 (cbrt.f64 (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))) 2) (*.f64 (cbrt.f64 (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))) (pow.f64 (cbrt.f64 (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)))) 2) (cbrt.f64 (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)))) (neg.f64 (*.f64 (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) 1))) (fma.f64 (neg.f64 (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))) 1 (*.f64 (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)))) 2) (cbrt.f64 (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)))) (neg.f64 (*.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)) beta))) (fma.f64 (neg.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) beta (*.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)) beta)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)))) 2) (cbrt.f64 (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)))) (neg.f64 (*.f64 (pow.f64 alpha -2) (*.f64 beta (+.f64 beta 2))))) (fma.f64 (neg.f64 (pow.f64 alpha -2)) (*.f64 beta (+.f64 beta 2)) (*.f64 (pow.f64 alpha -2) (*.f64 beta (+.f64 beta 2)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)))) 2) (cbrt.f64 (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)))) (neg.f64 (*.f64 (cbrt.f64 (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))) (pow.f64 (cbrt.f64 (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))))) (pow.f64 (cbrt.f64 (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))) 2) (*.f64 (cbrt.f64 (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))) (pow.f64 (cbrt.f64 (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))) 2))))
(+.f64 (fma.f64 (sqrt.f64 (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)))) (sqrt.f64 (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)))) (neg.f64 (*.f64 (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) 1))) (fma.f64 (neg.f64 (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))) 1 (*.f64 (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) 1)))
(+.f64 (fma.f64 (sqrt.f64 (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)))) (sqrt.f64 (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)))) (neg.f64 (*.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)) beta))) (fma.f64 (neg.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) beta (*.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)) beta)))
(+.f64 (fma.f64 (sqrt.f64 (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)))) (sqrt.f64 (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)))) (neg.f64 (*.f64 (pow.f64 alpha -2) (*.f64 beta (+.f64 beta 2))))) (fma.f64 (neg.f64 (pow.f64 alpha -2)) (*.f64 beta (+.f64 beta 2)) (*.f64 (pow.f64 alpha -2) (*.f64 beta (+.f64 beta 2)))))
(+.f64 (fma.f64 (sqrt.f64 (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)))) (sqrt.f64 (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)))) (neg.f64 (*.f64 (cbrt.f64 (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))) (pow.f64 (cbrt.f64 (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))))) (pow.f64 (cbrt.f64 (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))) 2) (*.f64 (cbrt.f64 (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))) (pow.f64 (cbrt.f64 (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))) 2))))
(*.f64 1 (-.f64 (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))))) 2) (cbrt.f64 (-.f64 (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))))))
(*.f64 (sqrt.f64 (-.f64 (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))))) (sqrt.f64 (-.f64 (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) 2) (pow.f64 (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) 2)) (+.f64 (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) 3) (pow.f64 (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) 3)) (+.f64 (pow.f64 (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) 2) (+.f64 (pow.f64 (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) 2) (*.f64 (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))))))
(pow.f64 (-.f64 (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))) 1)
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))))) 3)
(pow.f64 (pow.f64 (-.f64 (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))))) 2)
(log.f64 (exp.f64 (-.f64 (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))))))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))) 3))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))))))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))))))
(exp.f64 (log.f64 (-.f64 (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))))))
(exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))))) 1))
(fma.f64 1 (neg.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)) (-.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))))
(fma.f64 1 (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) (neg.f64 (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))))
(fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (-.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))))
(fma.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) -1 (-.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)))) 2) (cbrt.f64 (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)))) (neg.f64 (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2))) 2) (cbrt.f64 (neg.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2))) (-.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))))
(fma.f64 (sqrt.f64 (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)))) (sqrt.f64 (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)))) (neg.f64 (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))))
(fma.f64 (*.f64 (/.f64 (+.f64 beta 2) alpha) (sqrt.f64 -1)) (*.f64 (/.f64 (+.f64 beta 2) alpha) (sqrt.f64 -1)) (-.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))))
(fma.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (/.f64 (+.f64 beta 2) alpha) (-.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2))) 1)
(/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))
(/.f64 (*.f64 (/.f64 (+.f64 beta 2) alpha) (+.f64 beta 2)) alpha)
(/.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 beta 2) alpha)) alpha)
(pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)
(pow.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) 1)
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) 2) 3)
(pow.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) 3) 1/3)
(log.f64 (exp.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)))
(exp.f64 (*.f64 2 (log.f64 (/.f64 (+.f64 beta 2) alpha))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 beta 2) alpha)) 2))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 (+.f64 beta 2) alpha))) 1))

simplify235.0ms (1.5%)

Algorithm
egg-herbie
Rules
1112×fma-define
790×associate-*r*
758×associate-*l*
696×distribute-lft-in
694×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
077926789
1242023698
Stop Event
node limit
Counts
325 → 371
Calls
Call 1
Inputs
(-.f64 1 (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 1 (*.f64 beta (*.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 2 alpha) (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))))) (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))))) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 1 (+.f64 (*.f64 beta (*.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 2 alpha) (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))))) (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) (*.f64 (pow.f64 beta 2) (*.f64 (+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) 2) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2))) (*.f64 2 (/.f64 (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))))) (*.f64 1/2 (pow.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 2 alpha) (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))))) 2))) (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))))) (/.f64 alpha (+.f64 2 alpha)))
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2
(+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)))
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2
(-.f64 (+.f64 2 (*.f64 -1 (/.f64 alpha beta))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
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(exp.f64 (+.f64 (log.f64 (+.f64 2 (*.f64 2 beta))) (log.f64 (/.f64 1 alpha))))
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(exp.f64 (+.f64 (log.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta))) (log.f64 (/.f64 -1 alpha))))
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(*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
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(cbrt.f64 (pow.f64 (-.f64 (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))) 3))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))))))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))))))
(exp.f64 (log.f64 (-.f64 (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))))))
(exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))))) 1))
(fma.f64 1 (neg.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)) (-.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))))
(fma.f64 1 (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) (neg.f64 (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))))
(fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (-.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))))
(fma.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) -1 (-.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)))) 2) (cbrt.f64 (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)))) (neg.f64 (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2))) 2) (cbrt.f64 (neg.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2))) (-.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))))
(fma.f64 (sqrt.f64 (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)))) (sqrt.f64 (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)))) (neg.f64 (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))))
(fma.f64 (*.f64 (/.f64 (+.f64 beta 2) alpha) (sqrt.f64 -1)) (*.f64 (/.f64 (+.f64 beta 2) alpha) (sqrt.f64 -1)) (-.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))))
(fma.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (/.f64 (+.f64 beta 2) alpha) (-.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2))) 1)
(/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))
(/.f64 (*.f64 (/.f64 (+.f64 beta 2) alpha) (+.f64 beta 2)) alpha)
(/.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 beta 2) alpha)) alpha)
(pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)
(pow.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) 1)
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) 2) 3)
(pow.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) 3) 1/3)
(log.f64 (exp.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)))
(exp.f64 (*.f64 2 (log.f64 (/.f64 (+.f64 beta 2) alpha))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 beta 2) alpha)) 2))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 (+.f64 beta 2) alpha))) 1))
Outputs
(-.f64 1 (/.f64 alpha (+.f64 2 alpha)))
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(-.f64 (+.f64 1 (*.f64 beta (*.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 2 alpha) (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))))) (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))))) (/.f64 alpha (+.f64 2 alpha)))
(+.f64 1 (-.f64 (*.f64 beta (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 (/.f64 (/.f64 1 (+.f64 alpha 2)) (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (/.f64 alpha (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (+.f64 alpha 2) 2)))))) (/.f64 alpha (+.f64 alpha 2))))
(-.f64 (fma.f64 beta (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 (/.f64 (/.f64 1 (+.f64 alpha 2)) (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (/.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))) 1) (/.f64 alpha (+.f64 alpha 2)))
(-.f64 (+.f64 1 (+.f64 (*.f64 beta (*.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 2 alpha) (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))))) (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) (*.f64 (pow.f64 beta 2) (*.f64 (+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) 2) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2))) (*.f64 2 (/.f64 (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))))) (*.f64 1/2 (pow.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 2 alpha) (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))))) 2))) (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))))) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 1 (fma.f64 beta (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 (/.f64 (/.f64 1 (+.f64 alpha 2)) (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (/.f64 alpha (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (+.f64 alpha 2) 2))))) (*.f64 (pow.f64 beta 2) (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (*.f64 1/2 (+.f64 (fma.f64 -1 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) 2) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)) (*.f64 2 (/.f64 (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))) (pow.f64 (+.f64 (/.f64 (/.f64 1 (+.f64 alpha 2)) (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (/.f64 alpha (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (+.f64 alpha 2) 2)))) 2))))))) (/.f64 alpha (+.f64 alpha 2)))
(+.f64 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 (*.f64 beta (+.f64 (/.f64 (/.f64 1 (+.f64 alpha 2)) (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (/.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))) (*.f64 (*.f64 (pow.f64 beta 2) 1/2) (+.f64 (-.f64 (*.f64 2 (/.f64 (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) 2) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2))) (pow.f64 (+.f64 (/.f64 (/.f64 1 (+.f64 alpha 2)) (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (/.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) 2))))) (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(-.f64 (+.f64 1 (+.f64 (*.f64 beta (*.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 2 alpha) (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))))) (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) (+.f64 (*.f64 (pow.f64 beta 2) (*.f64 (+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) 2) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2))) (*.f64 2 (/.f64 (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))))) (*.f64 1/2 (pow.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 2 alpha) (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))))) 2))) (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) (*.f64 (pow.f64 beta 3) (*.f64 (+.f64 (*.f64 1/6 (+.f64 (*.f64 -6 (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) 3) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 3))) (*.f64 6 (/.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))) (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))))))) (+.f64 (*.f64 1/6 (pow.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 2 alpha) (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))))) 3)) (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) 2) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2))) (*.f64 2 (/.f64 (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))))) (+.f64 (/.f64 1 (*.f64 (+.f64 2 alpha) (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))))))))) (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))))))) (/.f64 alpha (+.f64 2 alpha)))
(+.f64 1 (-.f64 (fma.f64 beta (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 (/.f64 (/.f64 1 (+.f64 alpha 2)) (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (/.f64 alpha (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (+.f64 alpha 2) 2))))) (fma.f64 (pow.f64 beta 2) (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (*.f64 1/2 (+.f64 (fma.f64 -1 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) 2) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)) (*.f64 2 (/.f64 (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))) (pow.f64 (+.f64 (/.f64 (/.f64 1 (+.f64 alpha 2)) (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (/.f64 alpha (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (+.f64 alpha 2) 2)))) 2)))) (*.f64 (pow.f64 beta 3) (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (fma.f64 1/6 (fma.f64 -6 (*.f64 (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2))) (fma.f64 2 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) 3) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3)) (*.f64 6 (/.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4))) (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))))) (fma.f64 1/6 (pow.f64 (+.f64 (/.f64 (/.f64 1 (+.f64 alpha 2)) (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (/.f64 alpha (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (+.f64 alpha 2) 2)))) 3) (*.f64 1/2 (*.f64 (+.f64 (/.f64 (/.f64 1 (+.f64 alpha 2)) (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (/.f64 alpha (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (+.f64 alpha 2) 2)))) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) 2) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)) (*.f64 2 (/.f64 (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))))))))))) (/.f64 alpha (+.f64 alpha 2))))
(+.f64 (fma.f64 beta (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 (/.f64 (/.f64 1 (+.f64 alpha 2)) (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (/.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))) 1) (-.f64 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 (*.f64 (*.f64 (pow.f64 beta 2) 1/2) (+.f64 (-.f64 (*.f64 2 (/.f64 (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) 2) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2))) (pow.f64 (+.f64 (/.f64 (/.f64 1 (+.f64 alpha 2)) (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (/.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) 2))) (*.f64 (pow.f64 beta 3) (fma.f64 1/6 (fma.f64 -6 (*.f64 (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2))) (fma.f64 2 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) 3) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3)) (*.f64 6 (/.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4))) (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))))) (fma.f64 1/2 (*.f64 (+.f64 (/.f64 (/.f64 1 (+.f64 alpha 2)) (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (/.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (-.f64 (*.f64 2 (/.f64 (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) 2) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)))) (*.f64 1/6 (pow.f64 (+.f64 (/.f64 (/.f64 1 (+.f64 alpha 2)) (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (/.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) 3))))))) (/.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 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (*.f64 2 (/.f64 (+.f64 (*.f64 1/8 (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2)) (*.f64 1/2 (-.f64 (+.f64 (*.f64 -1/4 (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2)) (*.f64 alpha (+.f64 2 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))))) (pow.f64 beta 2)))))
(+.f64 2 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) (*.f64 2 (/.f64 (fma.f64 1/8 (pow.f64 (+.f64 2 (*.f64 alpha 2)) 2) (*.f64 1/2 (-.f64 (fma.f64 -1/4 (pow.f64 (+.f64 2 (*.f64 alpha 2)) 2) (*.f64 alpha (+.f64 alpha 2))) (neg.f64 (pow.f64 (+.f64 alpha 2) 2))))) (pow.f64 beta 2)))))
(+.f64 2 (fma.f64 2 (/.f64 (fma.f64 1/2 (fma.f64 (pow.f64 (fma.f64 alpha 2 2) 2) -1/4 (fma.f64 alpha (+.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2))) (*.f64 1/8 (pow.f64 (fma.f64 alpha 2 2) 2))) (pow.f64 beta 2)) (/.f64 (fma.f64 alpha 2 2) (neg.f64 beta))))
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -1/4 (*.f64 (+.f64 2 (*.f64 2 alpha)) (-.f64 (+.f64 (*.f64 -1/4 (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2)) (*.f64 alpha (+.f64 2 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (*.f64 -1/48 (pow.f64 (+.f64 2 (*.f64 2 alpha)) 3)) (*.f64 1/6 (+.f64 (*.f64 -1/4 (pow.f64 (+.f64 2 (*.f64 2 alpha)) 3)) (+.f64 (*.f64 3/2 (*.f64 (+.f64 2 (*.f64 2 alpha)) (-.f64 (*.f64 alpha (+.f64 2 alpha)) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 3 (-.f64 (*.f64 -1 (*.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 (+.f64 2 alpha) 3)))))))) (pow.f64 beta 3))) (*.f64 2 (/.f64 (+.f64 (*.f64 1/8 (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2)) (*.f64 1/2 (-.f64 (+.f64 (*.f64 -1/4 (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2)) (*.f64 alpha (+.f64 2 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))))) (pow.f64 beta 2))))))
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2
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(/.f64 (fma.f64 2 beta 2) alpha)
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(exp.f64 (+.f64 (log.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta))) (log.f64 (/.f64 -1 alpha))))
(exp.f64 (+.f64 (log.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta))) (log.f64 (/.f64 -1 alpha))))
(*.f64 (-.f64 (fma.f64 beta -1 -2) beta) (/.f64 -1 alpha))
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(pow.f64 (pow.f64 (-.f64 (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))) 3) 1/3)
(-.f64 (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) (*.f64 beta (/.f64 (+.f64 2 beta) (pow.f64 alpha 2))))
(+.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (/.f64 (neg.f64 (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta)))) (pow.f64 alpha 2)))
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))))) 2)
(-.f64 (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) (*.f64 beta (/.f64 (+.f64 2 beta) (pow.f64 alpha 2))))
(+.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (/.f64 (neg.f64 (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta)))) (pow.f64 alpha 2)))
(log.f64 (exp.f64 (-.f64 (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))))))
(-.f64 (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) (*.f64 beta (/.f64 (+.f64 2 beta) (pow.f64 alpha 2))))
(+.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (/.f64 (neg.f64 (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta)))) (pow.f64 alpha 2)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))))))
(-.f64 (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) (*.f64 beta (/.f64 (+.f64 2 beta) (pow.f64 alpha 2))))
(+.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (/.f64 (neg.f64 (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta)))) (pow.f64 alpha 2)))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))) 3))
(-.f64 (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) (*.f64 beta (/.f64 (+.f64 2 beta) (pow.f64 alpha 2))))
(+.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (/.f64 (neg.f64 (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta)))) (pow.f64 alpha 2)))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))))))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 -1 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) (*.f64 beta (/.f64 (+.f64 2 beta) (pow.f64 alpha 2))))))
(expm1.f64 (log1p.f64 (+.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (/.f64 (neg.f64 (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta)))) (pow.f64 alpha 2)))))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))))))
(-.f64 (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) (*.f64 beta (/.f64 (+.f64 2 beta) (pow.f64 alpha 2))))
(+.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (/.f64 (neg.f64 (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta)))) (pow.f64 alpha 2)))
(exp.f64 (log.f64 (-.f64 (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))))))
(-.f64 (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) (*.f64 beta (/.f64 (+.f64 2 beta) (pow.f64 alpha 2))))
(+.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (/.f64 (neg.f64 (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta)))) (pow.f64 alpha 2)))
(exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))))) 1))
(-.f64 (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) (*.f64 beta (/.f64 (+.f64 2 beta) (pow.f64 alpha 2))))
(+.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (/.f64 (neg.f64 (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta)))) (pow.f64 alpha 2)))
(fma.f64 1 (neg.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)) (-.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))))
(-.f64 (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) (*.f64 beta (/.f64 (+.f64 2 beta) (pow.f64 alpha 2))))
(+.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (/.f64 (neg.f64 (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta)))) (pow.f64 alpha 2)))
(fma.f64 1 (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) (neg.f64 (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))))
(-.f64 (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) (*.f64 beta (/.f64 (+.f64 2 beta) (pow.f64 alpha 2))))
(+.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (/.f64 (neg.f64 (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta)))) (pow.f64 alpha 2)))
(fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (-.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))))
(-.f64 (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) (*.f64 beta (/.f64 (+.f64 2 beta) (pow.f64 alpha 2))))
(+.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (/.f64 (neg.f64 (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta)))) (pow.f64 alpha 2)))
(fma.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) -1 (-.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))))
(-.f64 (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) (*.f64 beta (/.f64 (+.f64 2 beta) (pow.f64 alpha 2))))
(+.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (/.f64 (neg.f64 (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta)))) (pow.f64 alpha 2)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)))) 2) (cbrt.f64 (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)))) (neg.f64 (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))))
(-.f64 (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) (*.f64 beta (/.f64 (+.f64 2 beta) (pow.f64 alpha 2))))
(+.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (/.f64 (neg.f64 (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta)))) (pow.f64 alpha 2)))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2))) 2) (cbrt.f64 (neg.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2))) (-.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))))
(-.f64 (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) (*.f64 beta (/.f64 (+.f64 2 beta) (pow.f64 alpha 2))))
(+.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (/.f64 (neg.f64 (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta)))) (pow.f64 alpha 2)))
(fma.f64 (sqrt.f64 (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)))) (sqrt.f64 (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)))) (neg.f64 (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))))
(-.f64 (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) (*.f64 beta (/.f64 (+.f64 2 beta) (pow.f64 alpha 2))))
(+.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (/.f64 (neg.f64 (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta)))) (pow.f64 alpha 2)))
(fma.f64 (*.f64 (/.f64 (+.f64 beta 2) alpha) (sqrt.f64 -1)) (*.f64 (/.f64 (+.f64 beta 2) alpha) (sqrt.f64 -1)) (-.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))))
(fma.f64 (*.f64 (/.f64 (+.f64 2 beta) alpha) (sqrt.f64 -1)) (*.f64 (/.f64 (+.f64 2 beta) alpha) (sqrt.f64 -1)) (-.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (*.f64 beta (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)))))
(+.f64 (*.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 2) (*.f64 (sqrt.f64 -1) (sqrt.f64 -1))) (-.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (*.f64 beta (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)))))
(fma.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (/.f64 (+.f64 beta 2) alpha) (-.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))))
(-.f64 (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) (*.f64 beta (/.f64 (+.f64 2 beta) (pow.f64 alpha 2))))
(+.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (/.f64 (neg.f64 (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta)))) (pow.f64 alpha 2)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2))) 1)
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 2)))
(/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))
(/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))
(pow.f64 (/.f64 (+.f64 2 beta) alpha) 2)
(/.f64 (*.f64 (/.f64 (+.f64 beta 2) alpha) (+.f64 beta 2)) alpha)
(/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))
(pow.f64 (/.f64 (+.f64 2 beta) alpha) 2)
(/.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 beta 2) alpha)) alpha)
(/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))
(pow.f64 (/.f64 (+.f64 2 beta) alpha) 2)
(pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)
(/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))
(pow.f64 (/.f64 (+.f64 2 beta) alpha) 2)
(pow.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) 1)
(/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))
(pow.f64 (/.f64 (+.f64 2 beta) alpha) 2)
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) 2) 3)
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 beta) alpha)) 2) 3)
(pow.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) 3) 1/3)
(/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))
(pow.f64 (/.f64 (+.f64 2 beta) alpha) 2)
(log.f64 (exp.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)))
(/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))
(pow.f64 (/.f64 (+.f64 2 beta) alpha) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2))))
(/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))
(pow.f64 (/.f64 (+.f64 2 beta) alpha) 2)
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) 3))
(/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))
(pow.f64 (/.f64 (+.f64 2 beta) alpha) 2)
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)))
(/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))
(pow.f64 (/.f64 (+.f64 2 beta) alpha) 2)
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)))
(/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))
(pow.f64 (/.f64 (+.f64 2 beta) alpha) 2)
(exp.f64 (*.f64 2 (log.f64 (/.f64 (+.f64 beta 2) alpha))))
(/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))
(pow.f64 (/.f64 (+.f64 2 beta) alpha) 2)
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 beta 2) alpha)) 2))
(/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))
(pow.f64 (/.f64 (+.f64 2 beta) alpha) 2)
(exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 (+.f64 beta 2) alpha))) 1))
(/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))
(pow.f64 (/.f64 (+.f64 2 beta) alpha) 2)

eval567.0ms (3.7%)

Compiler

Compiled 25565 to 19418 computations (24% saved)

prune167.0ms (1.1%)

Pruning

21 alts after pruning (13 fresh and 8 done)

PrunedKeptTotal
New5625567
Fresh2810
Picked235
Done055
Total56621587
Accuracy
100.0%
Counts
587 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.9%
(/.f64 (pow.f64 (exp.f64 1) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 3)) 2)
77.5%
(/.f64 (pow.f64 (exp.f64 1) (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)
26.0%
(/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2)
9.2%
(/.f64 (/.f64 1 (*.f64 1/2 (/.f64 alpha beta))) 2)
24.0%
(/.f64 (/.f64 1 (expm1.f64 (log1p.f64 (/.f64 alpha (fma.f64 2 beta 2))))) 2)
24.3%
(/.f64 (-.f64 (+.f64 (*.f64 -1 (*.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 beta 2) alpha))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))) (*.f64 2 (/.f64 beta (pow.f64 alpha 2)))) 2)
24.7%
(/.f64 (-.f64 (*.f64 (-.f64 (-.f64 -2 beta) beta) (/.f64 (+.f64 2 beta) (pow.f64 alpha 2))) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 2)
24.9%
(/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -2 beta) 2) alpha)) (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))) 2)
28.9%
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
53.6%
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
77.9%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
76.0%
(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
50.0%
(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
22.1%
(/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 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)))))) 2)
26.0%
(/.f64 (*.f64 (/.f64 1 alpha) (fma.f64 2 beta 2)) 2)
77.0%
(/.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 3)) 2)
77.9%
(/.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)
9.2%
(/.f64 beta alpha)
36.8%
(/.f64 2 2)
21.1%
(/.f64 1 alpha)
26.0%
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
Compiler

Compiled 626 to 489 computations (21.9% saved)

localize1.3s (8.5%)

Localize:

Found 14 expressions with local error:

NewAccuracyProgram
100.0%
(/.f64 alpha (fma.f64 2 beta 2))
99.9%
(/.f64 1 (expm1.f64 (log1p.f64 (/.f64 alpha (fma.f64 2 beta 2)))))
99.7%
(/.f64 (/.f64 1 (expm1.f64 (log1p.f64 (/.f64 alpha (fma.f64 2 beta 2))))) 2)
97.9%
(expm1.f64 (log1p.f64 (/.f64 alpha (fma.f64 2 beta 2))))
100.0%
(/.f64 (-.f64 (*.f64 -2 beta) 2) alpha)
100.0%
(*.f64 beta (+.f64 2 beta))
93.7%
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -2 beta) 2) alpha)) (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2)))
86.0%
(/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))
100.0%
(/.f64 alpha (+.f64 alpha 2))
72.8%
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
98.7%
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 3)
98.6%
(cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
97.9%
(exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 3))
77.7%
(log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
Compiler

Compiled 263 to 176 computations (33.1% saved)

series205.0ms (1.3%)

Counts
12 → 240
Calls

63 calls:

TimeVariablePointExpression
22.0ms
alpha
@0
(exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 3))
20.0ms
beta
@inf
(exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 3))
19.0ms
alpha
@inf
(exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 3))
18.0ms
alpha
@-inf
(exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 3))
17.0ms
beta
@0
(exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 3))

rewrite151.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
304×log1p-expm1-u
303×expm1-log1p-u
294×add-cube-cbrt
292×add-exp-log
292×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
039381
1667375
Stop Event
node limit
Counts
12 → 305
Calls
Call 1
Inputs
(exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 3))
(cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 3)
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(/.f64 alpha (+.f64 alpha 2))
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -2 beta) 2) alpha)) (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2)))
(*.f64 beta (+.f64 2 beta))
(/.f64 (-.f64 (*.f64 -2 beta) 2) alpha)
(expm1.f64 (log1p.f64 (/.f64 alpha (fma.f64 2 beta 2))))
(/.f64 (/.f64 1 (expm1.f64 (log1p.f64 (/.f64 alpha (fma.f64 2 beta 2))))) 2)
(/.f64 1 (expm1.f64 (log1p.f64 (/.f64 alpha (fma.f64 2 beta 2)))))
(/.f64 alpha (fma.f64 2 beta 2))
Outputs
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 1)
(*.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (sqrt.f64 (+.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))))))
(pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)
(pow.f64 (exp.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2))
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 3)
(pow.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)
(pow.f64 (exp.f64 1) (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)) (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) (sqrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2))
(log.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) 1)
(*.f64 1 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 2) (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(*.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1/6) (pow.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1/6))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(*.f64 (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 1/3) (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 1/3))
(pow.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1/3)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 3)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2))
(log.f64 (exp.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(log1p.f64 (expm1.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(exp.f64 (log.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 1))
(+.f64 0 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)) (log.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) (log.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 1)
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2))
(*.f64 1 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2) (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (sqrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 2) 3) (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1/6) 3) (pow.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1/6) 3))
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2))
(log.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
(exp.f64 (log.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 1))
(+.f64 1 (neg.f64 (/.f64 alpha (+.f64 alpha 2))))
(*.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 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 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) (/.f64 alpha (+.f64 alpha 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 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) (/.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 (+.f64 1 (pow.f64 (neg.f64 (/.f64 alpha (+.f64 alpha 2))) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (/.f64 alpha (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 alpha 2))))))
(pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1)
(pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 3)
(pow.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2)
(sqrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2))
(log.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))))
(cbrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3))
(expm1.f64 (log1p.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(log1p.f64 (expm1.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(exp.f64 (log1p.f64 (neg.f64 (/.f64 alpha (+.f64 alpha 2)))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (/.f64 alpha (+.f64 alpha 2)))) 1))
(-.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1)
(*.f64 alpha (/.f64 1 (+.f64 alpha 2)))
(*.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2) (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))))
(*.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))) (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))))
(*.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))))
(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)
(sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))
(log.f64 (exp.f64 (/.f64 alpha (+.f64 alpha 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 alpha (+.f64 alpha 2)))))
(cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))
(expm1.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha 2))))
(log1p.f64 (expm1.f64 (/.f64 alpha (+.f64 alpha 2))))
(exp.f64 (log.f64 (/.f64 alpha (+.f64 alpha 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 alpha (+.f64 alpha 2))) 1))
(+.f64 (/.f64 (fma.f64 beta -2 -2) alpha) (neg.f64 (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))))
(+.f64 (-.f64 (/.f64 (fma.f64 beta -2 -2) alpha) (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (*.f64 beta (+.f64 beta 2))) alpha)) (/.f64 (sqrt.f64 (*.f64 beta (+.f64 beta 2))) alpha) (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))))
(+.f64 (fma.f64 1 (/.f64 (fma.f64 beta -2 -2) alpha) (neg.f64 (*.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)) beta))) (fma.f64 (neg.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) beta (*.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)) beta)))
(+.f64 (fma.f64 1 (/.f64 (fma.f64 beta -2 -2) alpha) (neg.f64 (*.f64 (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) 1))) (fma.f64 (neg.f64 (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))) 1 (*.f64 (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) 1)))
(+.f64 (fma.f64 1 (/.f64 (fma.f64 beta -2 -2) alpha) (neg.f64 (*.f64 (pow.f64 alpha -2) (*.f64 beta (+.f64 beta 2))))) (fma.f64 (neg.f64 (pow.f64 alpha -2)) (*.f64 beta (+.f64 beta 2)) (*.f64 (pow.f64 alpha -2) (*.f64 beta (+.f64 beta 2)))))
(+.f64 (fma.f64 1 (/.f64 (fma.f64 beta -2 -2) alpha) (neg.f64 (*.f64 (cbrt.f64 (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 beta (+.f64 beta 2)) 2) (pow.f64 alpha 4)))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 beta (+.f64 beta 2)) 2) (pow.f64 alpha 4))) (*.f64 (cbrt.f64 (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 beta (+.f64 beta 2)) 2) (pow.f64 alpha 4))))))
(+.f64 (fma.f64 -1 (/.f64 (fma.f64 beta -2 -2) alpha) (neg.f64 (*.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)) beta))) (fma.f64 (neg.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) beta (*.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)) beta)))
(+.f64 (fma.f64 -1 (/.f64 (fma.f64 beta -2 -2) alpha) (neg.f64 (*.f64 (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) 1))) (fma.f64 (neg.f64 (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))) 1 (*.f64 (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) 1)))
(+.f64 (fma.f64 -1 (/.f64 (fma.f64 beta -2 -2) alpha) (neg.f64 (*.f64 (pow.f64 alpha -2) (*.f64 beta (+.f64 beta 2))))) (fma.f64 (neg.f64 (pow.f64 alpha -2)) (*.f64 beta (+.f64 beta 2)) (*.f64 (pow.f64 alpha -2) (*.f64 beta (+.f64 beta 2)))))
(+.f64 (fma.f64 -1 (/.f64 (fma.f64 beta -2 -2) alpha) (neg.f64 (*.f64 (cbrt.f64 (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 beta (+.f64 beta 2)) 2) (pow.f64 alpha 4)))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 beta (+.f64 beta 2)) 2) (pow.f64 alpha 4))) (*.f64 (cbrt.f64 (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 beta (+.f64 beta 2)) 2) (pow.f64 alpha 4))))))
(+.f64 (fma.f64 (/.f64 (fma.f64 beta -2 -2) alpha) -1 (neg.f64 (*.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)) beta))) (fma.f64 (neg.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) beta (*.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)) beta)))
(+.f64 (fma.f64 (/.f64 (fma.f64 beta -2 -2) alpha) -1 (neg.f64 (*.f64 (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) 1))) (fma.f64 (neg.f64 (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))) 1 (*.f64 (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) 1)))
(+.f64 (fma.f64 (/.f64 (fma.f64 beta -2 -2) alpha) -1 (neg.f64 (*.f64 (pow.f64 alpha -2) (*.f64 beta (+.f64 beta 2))))) (fma.f64 (neg.f64 (pow.f64 alpha -2)) (*.f64 beta (+.f64 beta 2)) (*.f64 (pow.f64 alpha -2) (*.f64 beta (+.f64 beta 2)))))
(+.f64 (fma.f64 (/.f64 (fma.f64 beta -2 -2) alpha) -1 (neg.f64 (*.f64 (cbrt.f64 (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 beta (+.f64 beta 2)) 2) (pow.f64 alpha 4)))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 beta (+.f64 beta 2)) 2) (pow.f64 alpha 4))) (*.f64 (cbrt.f64 (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 beta (+.f64 beta 2)) 2) (pow.f64 alpha 4))))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 beta -2 -2) alpha)) 2) (cbrt.f64 (/.f64 (fma.f64 beta -2 -2) alpha)) (neg.f64 (*.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)) beta))) (fma.f64 (neg.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) beta (*.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)) beta)))
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(cbrt.f64 (pow.f64 (*.f64 (/.f64 1 (/.f64 alpha (fma.f64 2 beta 2))) 1/2) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 1 (/.f64 alpha (fma.f64 2 beta 2))) 1/2)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 1 (/.f64 alpha (fma.f64 2 beta 2))) 1/2)))
(exp.f64 (neg.f64 (log.f64 (*.f64 2 (/.f64 alpha (fma.f64 2 beta 2))))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 2 (/.f64 alpha (fma.f64 2 beta 2))))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (/.f64 alpha (fma.f64 2 beta 2))))) 1)
(*.f64 1 (/.f64 1 (/.f64 alpha (fma.f64 2 beta 2))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 alpha (fma.f64 2 beta 2)) -2)) (cbrt.f64 (/.f64 1 (/.f64 alpha (fma.f64 2 beta 2)))))
(*.f64 (pow.f64 (/.f64 alpha (fma.f64 2 beta 2)) -1/2) (pow.f64 (/.f64 alpha (fma.f64 2 beta 2)) -1/2))
(*.f64 (/.f64 1 alpha) (pow.f64 (/.f64 1 (fma.f64 2 beta 2)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (fma.f64 2 beta 2))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 alpha (fma.f64 2 beta 2))) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 alpha (fma.f64 2 beta 2))) -1) (pow.f64 (sqrt.f64 (/.f64 alpha (fma.f64 2 beta 2))) -1))
(pow.f64 (/.f64 alpha (fma.f64 2 beta 2)) -1)
(pow.f64 (/.f64 1 (/.f64 alpha (fma.f64 2 beta 2))) 1)
(pow.f64 (cbrt.f64 (/.f64 1 (/.f64 alpha (fma.f64 2 beta 2)))) 3)
(pow.f64 (pow.f64 (/.f64 1 (/.f64 alpha (fma.f64 2 beta 2))) 3) 1/3)
(pow.f64 (pow.f64 (/.f64 alpha (fma.f64 2 beta 2)) -1/2) 2)
(pow.f64 (/.f64 (/.f64 alpha (fma.f64 2 beta 2)) 1) -1)
(sqrt.f64 (pow.f64 (/.f64 alpha (fma.f64 2 beta 2)) -2))
(log.f64 (exp.f64 (/.f64 1 (/.f64 alpha (fma.f64 2 beta 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (/.f64 alpha (fma.f64 2 beta 2))))))
(cbrt.f64 (pow.f64 (/.f64 1 (/.f64 alpha (fma.f64 2 beta 2))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (/.f64 alpha (fma.f64 2 beta 2)))))
(log1p.f64 (expm1.f64 (/.f64 1 (/.f64 alpha (fma.f64 2 beta 2)))))
(exp.f64 (neg.f64 (log.f64 (/.f64 alpha (fma.f64 2 beta 2)))))
(exp.f64 (*.f64 (log.f64 (/.f64 alpha (fma.f64 2 beta 2))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (/.f64 alpha (fma.f64 2 beta 2)))) 1))
(-.f64 (+.f64 1 (/.f64 alpha (fma.f64 2 beta 2))) 1)
(*.f64 alpha (/.f64 1 (fma.f64 2 beta 2)))
(*.f64 1 (/.f64 alpha (fma.f64 2 beta 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (fma.f64 2 beta 2))) 2) (cbrt.f64 (/.f64 alpha (fma.f64 2 beta 2))))
(*.f64 (sqrt.f64 (/.f64 alpha (fma.f64 2 beta 2))) (sqrt.f64 (/.f64 alpha (fma.f64 2 beta 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) 1) (/.f64 (cbrt.f64 alpha) (fma.f64 2 beta 2)))
(*.f64 (/.f64 (sqrt.f64 alpha) 1) (/.f64 (sqrt.f64 alpha) (fma.f64 2 beta 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2)) (/.f64 alpha (cbrt.f64 (fma.f64 2 beta 2))))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 2 beta 2))) (/.f64 alpha (sqrt.f64 (fma.f64 2 beta 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2)) (cbrt.f64 (/.f64 alpha (fma.f64 2 beta 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (fma.f64 2 beta 2))) (/.f64 (cbrt.f64 alpha) (sqrt.f64 (fma.f64 2 beta 2))))
(*.f64 (/.f64 (sqrt.f64 alpha) (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2)) (/.f64 (sqrt.f64 alpha) (cbrt.f64 (fma.f64 2 beta 2))))
(pow.f64 (/.f64 alpha (fma.f64 2 beta 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 alpha (fma.f64 2 beta 2))) 3)
(pow.f64 (pow.f64 (/.f64 alpha (fma.f64 2 beta 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 alpha (fma.f64 2 beta 2))) 2)
(pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) -1)
(sqrt.f64 (pow.f64 (/.f64 alpha (fma.f64 2 beta 2)) 2))
(log.f64 (exp.f64 (/.f64 alpha (fma.f64 2 beta 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 alpha (fma.f64 2 beta 2)))))
(cbrt.f64 (pow.f64 (/.f64 alpha (fma.f64 2 beta 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 (fma.f64 2 beta 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 alpha (fma.f64 2 beta 2))))
(log1p.f64 (expm1.f64 (/.f64 alpha (fma.f64 2 beta 2))))
(exp.f64 (log.f64 (/.f64 alpha (fma.f64 2 beta 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 alpha (fma.f64 2 beta 2))) 1))

simplify1.2s (7.5%)

Algorithm
egg-herbie
Rules
1354×times-frac
1004×*-commutative
680×+-commutative
520×fma-define
428×sqr-pow
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01680120089
15546118121
Stop Event
node limit
Counts
545 → 637
Calls
Call 1
Inputs
(pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) (pow.f64 1 1/3))
(+.f64 (*.f64 beta (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (log.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) 4)) 1/9) (+.f64 (/.f64 1 (*.f64 (+.f64 2 alpha) (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))))))) (*.f64 2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (log.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) 4)) 1/9) (+.f64 (/.f64 1 (*.f64 (+.f64 2 alpha) (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))))))) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) (pow.f64 1 1/3)))) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) (pow.f64 1 1/3)))
(+.f64 (*.f64 beta (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (log.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) 4)) 1/9) (+.f64 (/.f64 1 (*.f64 (+.f64 2 alpha) (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))))))) (*.f64 2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (log.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) 4)) 1/9) (+.f64 (/.f64 1 (*.f64 (+.f64 2 alpha) (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))))))) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) (pow.f64 1 1/3)))) (+.f64 (*.f64 (pow.f64 beta 2) (*.f64 (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (log.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) 1/9) (pow.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 2 alpha) (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))))) 2))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) 2) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2))) (*.f64 2 (/.f64 (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) 1/9) (pow.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 2 alpha) (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))))) 2)))))) (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (log.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) 4)) 1/9) (+.f64 (/.f64 1 (*.f64 (+.f64 2 alpha) (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))))))) (*.f64 2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (log.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) 4)) 1/9) (+.f64 (/.f64 1 (*.f64 (+.f64 2 alpha) (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))))))) 2)) (*.f64 (pow.f64 (*.f64 1 (log.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) 1/3) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) 4)) 1/9) (pow.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 2 alpha) (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))))) 2))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) 1/3) (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) 2) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2))) (*.f64 2 (/.f64 (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) 1/9) (pow.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 2 alpha) (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))))) 2))))))))))) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) (pow.f64 1 1/3)))) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) (pow.f64 1 1/3))))
(+.f64 (*.f64 beta (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (log.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) 4)) 1/9) (+.f64 (/.f64 1 (*.f64 (+.f64 2 alpha) (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))))))) (*.f64 2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (log.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) 4)) 1/9) (+.f64 (/.f64 1 (*.f64 (+.f64 2 alpha) (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))))))) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) (pow.f64 1 1/3)))) (+.f64 (*.f64 (pow.f64 beta 2) (*.f64 (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (log.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) 1/9) (pow.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 2 alpha) (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))))) 2))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) 2) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2))) (*.f64 2 (/.f64 (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) 1/9) (pow.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 2 alpha) (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))))) 2)))))) (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (log.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) 4)) 1/9) (+.f64 (/.f64 1 (*.f64 (+.f64 2 alpha) (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))))))) (*.f64 2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (log.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) 4)) 1/9) (+.f64 (/.f64 1 (*.f64 (+.f64 2 alpha) (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))))))) 2)) (*.f64 (pow.f64 (*.f64 1 (log.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) 1/3) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) 4)) 1/9) (pow.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 2 alpha) (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))))) 2))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) 1/3) (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) 2) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2))) (*.f64 2 (/.f64 (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) 1/9) (pow.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 2 alpha) (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))))) 2))))))))))) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) (pow.f64 1 1/3)))) (+.f64 (*.f64 (pow.f64 beta 3) (*.f64 (+.f64 (*.f64 1/6 (pow.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (log.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) 4)) 1/9) (+.f64 (/.f64 1 (*.f64 (+.f64 2 alpha) (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))))))) (*.f64 2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (log.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) 4)) 1/9) (+.f64 (/.f64 1 (*.f64 (+.f64 2 alpha) (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))))))) 3)) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) 5)) 1/9) (*.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 2 alpha) (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))))) (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) 2) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2))) (*.f64 2 (/.f64 (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) 1/9) (pow.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 2 alpha) (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))))) 2))))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/6 (+.f64 (*.f64 -6 (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) 3) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 3))) (*.f64 6 (/.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))) (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))))))) (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) 2)) 1/3) (pow.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 2 alpha) (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))))) 3))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (-.f64 1 (/.f64 alpha (+.f64 2 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(pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (pow.f64 1 1/3))
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3))))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2)))))) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta)))) 5)) 1/9) (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2))) (*.f64 2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 3)))) (+.f64 1 (/.f64 beta (+.f64 2 beta))))))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))))) 1/9) (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2)))))) (+.f64 1 (/.f64 beta (+.f64 2 beta)))))) (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta)))) 2)) 1/3) (/.f64 (pow.f64 (+.f64 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(exp.f64 (*.f64 (pow.f64 1 1/3) (+.f64 (log.f64 (+.f64 2 (*.f64 2 beta))) (log.f64 (/.f64 1 alpha)))))
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(pow.f64 (log.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) 1/3)
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(pow.f64 (log.f64 2) 1/3)
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(pow.f64 (log.f64 2) 1/3)
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2)))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 (log.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta))) (log.f64 (/.f64 -1 alpha)))) 1/3) (-.f64 (*.f64 1/2 (+.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 (+.f64 2 beta) 3)) (-.f64 (*.f64 -1 beta) (+.f64 2 beta)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) 2) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) 2))))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 (log.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta))) (log.f64 (/.f64 -1 alpha)))) 1/9) (/.f64 (pow.f64 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) 2) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) 2)))))))) (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2))) (-.f64 (*.f64 -1 beta) (+.f64 2 beta))))) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta))) (log.f64 (/.f64 -1 alpha))) 5)) 1/9) (/.f64 (*.f64 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (-.f64 (*.f64 1/2 (+.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 (+.f64 2 beta) 3)) (-.f64 (*.f64 -1 beta) (+.f64 2 beta)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) 2) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) 2))))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 (log.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta))) (log.f64 (/.f64 -1 alpha)))) 1/9) (/.f64 (pow.f64 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) 2) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) 2)))))) (-.f64 (*.f64 -1 beta) (+.f64 2 beta))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/6 (+.f64 (*.f64 -6 (/.f64 (*.f64 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (+.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 (+.f64 2 beta) 3))) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) 2))) (+.f64 (*.f64 -6 (/.f64 (+.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 3)) (pow.f64 (+.f64 2 beta) 4)) (-.f64 (*.f64 -1 beta) (+.f64 2 beta)))) (*.f64 -2 (/.f64 (pow.f64 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) 3) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) 3)))))) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta))) (log.f64 (/.f64 -1 alpha))) 5)) 1/9) (/.f64 (*.f64 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (-.f64 (*.f64 1/2 (+.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 (+.f64 2 beta) 3)) (-.f64 (*.f64 -1 beta) (+.f64 2 beta)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) 2) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) 2))))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 (log.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta))) (log.f64 (/.f64 -1 alpha)))) 1/9) (/.f64 (pow.f64 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) 2) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) 2)))))) (-.f64 (*.f64 -1 beta) (+.f64 2 beta))))) (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta))) (log.f64 (/.f64 -1 alpha))) 2)) 1/3) (/.f64 (pow.f64 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) 3) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) 3)))))))) (*.f64 (pow.f64 (*.f64 1 (+.f64 (log.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta))) (log.f64 (/.f64 -1 alpha)))) 1/3) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta))) (log.f64 (/.f64 -1 alpha))) 8)) 1/9) (/.f64 (*.f64 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (-.f64 (*.f64 1/2 (+.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 (+.f64 2 beta) 3)) (-.f64 (*.f64 -1 beta) (+.f64 2 beta)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) 2) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) 2))))) (*.f64 1/3 (*.f64 (pow.f64 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(pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) 3))))))))))))) (pow.f64 alpha 3))) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (+.f64 (log.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta))) (log.f64 (/.f64 -1 alpha)))) 1/9) (/.f64 (pow.f64 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) 2) (*.f64 (pow.f64 alpha 2) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) 2))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (/.f64 (-.f64 (*.f64 1/2 (+.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 (+.f64 2 beta) 3)) (-.f64 (*.f64 -1 beta) (+.f64 2 beta)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) 2) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) 2))))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 (log.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta))) (log.f64 (/.f64 -1 alpha)))) 1/9) (/.f64 (pow.f64 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) 2) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) 2))))) (pow.f64 alpha 2)))) (+.f64 (*.f64 (pow.f64 1 1/3) (+.f64 (log.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta))) (log.f64 (/.f64 -1 alpha)))) (*.f64 (pow.f64 (*.f64 1 (+.f64 (log.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta))) (log.f64 (/.f64 -1 alpha)))) 1/3) (/.f64 (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta))) (log.f64 (/.f64 -1 alpha))) 4)) 1/9) (/.f64 (pow.f64 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) 2) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) 2)))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 (log.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta))) (log.f64 (/.f64 -1 alpha)))) 1/3) (-.f64 (*.f64 1/2 (+.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 (+.f64 2 beta) 3)) (-.f64 (*.f64 -1 beta) (+.f64 2 beta)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) 2) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) 2))))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 (log.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta))) (log.f64 (/.f64 -1 alpha)))) 1/9) (/.f64 (pow.f64 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) 2) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) 2)))))))) (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 1/2 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 alpha)
(+.f64 (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 2 (/.f64 1 alpha))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 2 (/.f64 1 alpha))))
(*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))))))
(*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(+.f64 (*.f64 -1 (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))) (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(+.f64 (*.f64 -1 (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))
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(*.f64 -1 (/.f64 (fma.f64 beta -2 -2) alpha))
(*.f64 (fma.f64 beta -2 -2) (/.f64 1 alpha))
(*.f64 (/.f64 (fma.f64 beta -2 -2) alpha) -1)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 beta -2 -2) alpha)) 2) (cbrt.f64 (/.f64 (fma.f64 beta -2 -2) alpha)))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 beta -2 -2) alpha)) (sqrt.f64 (/.f64 (fma.f64 beta -2 -2) alpha)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (fma.f64 beta -2 -2) (cbrt.f64 alpha)))
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (fma.f64 beta -2 -2) (sqrt.f64 alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 beta -2 -2)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 beta -2 -2)) alpha))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 beta -2 -2)) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (fma.f64 beta -2 -2) alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 beta -2 -2)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (fma.f64 beta -2 -2)) (sqrt.f64 alpha)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 beta -2 -2)) 1) (/.f64 (sqrt.f64 (fma.f64 beta -2 -2)) alpha))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 beta -2 -2)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (fma.f64 beta -2 -2)) (cbrt.f64 alpha)))
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (fma.f64 beta -2 -2) (cbrt.f64 alpha)))
(*.f64 (/.f64 -1 (sqrt.f64 alpha)) (/.f64 (fma.f64 beta -2 -2) (sqrt.f64 alpha)))
(pow.f64 (/.f64 (fma.f64 beta -2 -2) alpha) 1)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 beta -2 -2) alpha)) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 beta -2 -2) alpha) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 beta -2 -2) alpha)) 2)
(pow.f64 (/.f64 alpha (fma.f64 beta -2 -2)) -1)
(neg.f64 (/.f64 (fma.f64 beta -2 -2) alpha))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 beta -2 -2) alpha) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 beta -2 -2) alpha)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 beta -2 -2) alpha))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 beta -2 -2) alpha) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 beta -2 -2) 3) (pow.f64 alpha 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 beta -2 -2) alpha)))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 beta -2 -2) alpha)))
(exp.f64 (log.f64 (/.f64 (fma.f64 beta -2 -2) alpha)))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 beta -2 -2) alpha)) 1))
(-.f64 (+.f64 1 (/.f64 alpha (fma.f64 2 beta 2))) 1)
(*.f64 alpha (/.f64 1 (fma.f64 2 beta 2)))
(*.f64 1 (/.f64 alpha (fma.f64 2 beta 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (fma.f64 2 beta 2))) 2) (cbrt.f64 (/.f64 alpha (fma.f64 2 beta 2))))
(*.f64 (sqrt.f64 (/.f64 alpha (fma.f64 2 beta 2))) (sqrt.f64 (/.f64 alpha (fma.f64 2 beta 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) 1) (/.f64 (cbrt.f64 alpha) (fma.f64 2 beta 2)))
(*.f64 (/.f64 (sqrt.f64 alpha) 1) (/.f64 (sqrt.f64 alpha) (fma.f64 2 beta 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2)) (/.f64 alpha (cbrt.f64 (fma.f64 2 beta 2))))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 2 beta 2))) (/.f64 alpha (sqrt.f64 (fma.f64 2 beta 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2)) (cbrt.f64 (/.f64 alpha (fma.f64 2 beta 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (fma.f64 2 beta 2))) (/.f64 (cbrt.f64 alpha) (sqrt.f64 (fma.f64 2 beta 2))))
(*.f64 (/.f64 (sqrt.f64 alpha) (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2)) (/.f64 (sqrt.f64 alpha) (cbrt.f64 (fma.f64 2 beta 2))))
(/.f64 alpha (fma.f64 2 beta 2))
(/.f64 1 (/.f64 (fma.f64 2 beta 2) alpha))
(/.f64 -1 (neg.f64 (/.f64 (fma.f64 2 beta 2) alpha)))
(/.f64 (neg.f64 alpha) (neg.f64 (fma.f64 2 beta 2)))
(/.f64 (neg.f64 (neg.f64 alpha)) (neg.f64 (neg.f64 (fma.f64 2 beta 2))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 alpha (fma.f64 2 beta 2))) 3) 1) (+.f64 (*.f64 (+.f64 1 (/.f64 alpha (fma.f64 2 beta 2))) (+.f64 1 (/.f64 alpha (fma.f64 2 beta 2)))) (+.f64 1 (*.f64 (+.f64 1 (/.f64 alpha (fma.f64 2 beta 2))) 1))))
(pow.f64 (/.f64 alpha (fma.f64 2 beta 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 alpha (fma.f64 2 beta 2))) 3)
(pow.f64 (pow.f64 (/.f64 alpha (fma.f64 2 beta 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 alpha (fma.f64 2 beta 2))) 2)
(pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) -1)
(sqrt.f64 (pow.f64 (/.f64 alpha (fma.f64 2 beta 2)) 2))
(log.f64 (exp.f64 (/.f64 alpha (fma.f64 2 beta 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 alpha (fma.f64 2 beta 2)))))
(cbrt.f64 (pow.f64 (/.f64 alpha (fma.f64 2 beta 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 (fma.f64 2 beta 2) 3)))
(log1p.f64 (expm1.f64 (/.f64 alpha (fma.f64 2 beta 2))))
(exp.f64 (log.f64 (/.f64 alpha (fma.f64 2 beta 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 alpha (fma.f64 2 beta 2))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 1 (/.f64 alpha (fma.f64 2 beta 2))) 1/2))) 1)
(*.f64 1 (*.f64 (/.f64 1 (/.f64 alpha (fma.f64 2 beta 2))) 1/2))
(*.f64 (/.f64 1 (/.f64 alpha (fma.f64 2 beta 2))) 1/2)
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 alpha (fma.f64 2 beta 2)) -2) 4)) (/.f64 1 (cbrt.f64 (*.f64 2 (/.f64 alpha (fma.f64 2 beta 2))))))
(*.f64 (*.f64 (pow.f64 (/.f64 alpha (fma.f64 2 beta 2)) -1/2) (sqrt.f64 1/2)) (*.f64 (pow.f64 (/.f64 alpha (fma.f64 2 beta 2)) -1/2) (sqrt.f64 1/2)))
(pow.f64 (*.f64 (/.f64 1 (/.f64 alpha (fma.f64 2 beta 2))) 1/2) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (*.f64 2 (/.f64 alpha (fma.f64 2 beta 2))))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 1 (/.f64 alpha (fma.f64 2 beta 2))) 1/2) 3) 1/3)
(pow.f64 (*.f64 (pow.f64 (/.f64 alpha (fma.f64 2 beta 2)) -1/2) (sqrt.f64 1/2)) 2)
(pow.f64 (/.f64 2 (/.f64 1 (/.f64 alpha (fma.f64 2 beta 2)))) -1)
(pow.f64 (*.f64 2 (/.f64 alpha (fma.f64 2 beta 2))) -1)
(sqrt.f64 (/.f64 (pow.f64 (/.f64 alpha (fma.f64 2 beta 2)) -2) 4))
(log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (/.f64 alpha (fma.f64 2 beta 2))))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 1 (/.f64 alpha (fma.f64 2 beta 2))) 1/2))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 1 (/.f64 alpha (fma.f64 2 beta 2))) 1/2) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 1 (/.f64 alpha (fma.f64 2 beta 2))) 1/2)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 1 (/.f64 alpha (fma.f64 2 beta 2))) 1/2)))
(exp.f64 (neg.f64 (log.f64 (*.f64 2 (/.f64 alpha (fma.f64 2 beta 2))))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 2 (/.f64 alpha (fma.f64 2 beta 2))))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (/.f64 alpha (fma.f64 2 beta 2))))) 1)
(*.f64 1 (/.f64 1 (/.f64 alpha (fma.f64 2 beta 2))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 alpha (fma.f64 2 beta 2)) -2)) (cbrt.f64 (/.f64 1 (/.f64 alpha (fma.f64 2 beta 2)))))
(*.f64 (pow.f64 (/.f64 alpha (fma.f64 2 beta 2)) -1/2) (pow.f64 (/.f64 alpha (fma.f64 2 beta 2)) -1/2))
(*.f64 (/.f64 1 alpha) (pow.f64 (/.f64 1 (fma.f64 2 beta 2)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (fma.f64 2 beta 2))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 alpha (fma.f64 2 beta 2))) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 alpha (fma.f64 2 beta 2))) -1) (pow.f64 (sqrt.f64 (/.f64 alpha (fma.f64 2 beta 2))) -1))
(pow.f64 (/.f64 alpha (fma.f64 2 beta 2)) -1)
(pow.f64 (/.f64 1 (/.f64 alpha (fma.f64 2 beta 2))) 1)
(pow.f64 (cbrt.f64 (/.f64 1 (/.f64 alpha (fma.f64 2 beta 2)))) 3)
(pow.f64 (pow.f64 (/.f64 1 (/.f64 alpha (fma.f64 2 beta 2))) 3) 1/3)
(pow.f64 (pow.f64 (/.f64 alpha (fma.f64 2 beta 2)) -1/2) 2)
(pow.f64 (/.f64 (/.f64 alpha (fma.f64 2 beta 2)) 1) -1)
(sqrt.f64 (pow.f64 (/.f64 alpha (fma.f64 2 beta 2)) -2))
(log.f64 (exp.f64 (/.f64 1 (/.f64 alpha (fma.f64 2 beta 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (/.f64 alpha (fma.f64 2 beta 2))))))
(cbrt.f64 (pow.f64 (/.f64 1 (/.f64 alpha (fma.f64 2 beta 2))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (/.f64 alpha (fma.f64 2 beta 2)))))
(log1p.f64 (expm1.f64 (/.f64 1 (/.f64 alpha (fma.f64 2 beta 2)))))
(exp.f64 (neg.f64 (log.f64 (/.f64 alpha (fma.f64 2 beta 2)))))
(exp.f64 (*.f64 (log.f64 (/.f64 alpha (fma.f64 2 beta 2))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (/.f64 alpha (fma.f64 2 beta 2)))) 1))
(-.f64 (+.f64 1 (/.f64 alpha (fma.f64 2 beta 2))) 1)
(*.f64 alpha (/.f64 1 (fma.f64 2 beta 2)))
(*.f64 1 (/.f64 alpha (fma.f64 2 beta 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (fma.f64 2 beta 2))) 2) (cbrt.f64 (/.f64 alpha (fma.f64 2 beta 2))))
(*.f64 (sqrt.f64 (/.f64 alpha (fma.f64 2 beta 2))) (sqrt.f64 (/.f64 alpha (fma.f64 2 beta 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) 1) (/.f64 (cbrt.f64 alpha) (fma.f64 2 beta 2)))
(*.f64 (/.f64 (sqrt.f64 alpha) 1) (/.f64 (sqrt.f64 alpha) (fma.f64 2 beta 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2)) (/.f64 alpha (cbrt.f64 (fma.f64 2 beta 2))))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 2 beta 2))) (/.f64 alpha (sqrt.f64 (fma.f64 2 beta 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2)) (cbrt.f64 (/.f64 alpha (fma.f64 2 beta 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (fma.f64 2 beta 2))) (/.f64 (cbrt.f64 alpha) (sqrt.f64 (fma.f64 2 beta 2))))
(*.f64 (/.f64 (sqrt.f64 alpha) (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2)) (/.f64 (sqrt.f64 alpha) (cbrt.f64 (fma.f64 2 beta 2))))
(pow.f64 (/.f64 alpha (fma.f64 2 beta 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 alpha (fma.f64 2 beta 2))) 3)
(pow.f64 (pow.f64 (/.f64 alpha (fma.f64 2 beta 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 alpha (fma.f64 2 beta 2))) 2)
(pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) -1)
(sqrt.f64 (pow.f64 (/.f64 alpha (fma.f64 2 beta 2)) 2))
(log.f64 (exp.f64 (/.f64 alpha (fma.f64 2 beta 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 alpha (fma.f64 2 beta 2)))))
(cbrt.f64 (pow.f64 (/.f64 alpha (fma.f64 2 beta 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 (fma.f64 2 beta 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 alpha (fma.f64 2 beta 2))))
(log1p.f64 (expm1.f64 (/.f64 alpha (fma.f64 2 beta 2))))
(exp.f64 (log.f64 (/.f64 alpha (fma.f64 2 beta 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 alpha (fma.f64 2 beta 2))) 1))
Outputs
(pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) (pow.f64 1 1/3))
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(+.f64 (*.f64 beta (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (log.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) 4)) 1/9) (+.f64 (/.f64 1 (*.f64 (+.f64 2 alpha) (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))))))) (*.f64 2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (log.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) 4)) 1/9) (+.f64 (/.f64 1 (*.f64 (+.f64 2 alpha) (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))))))) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) (pow.f64 1 1/3)))) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) (pow.f64 1 1/3)))
(fma.f64 beta (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) 4) 1/18) (pow.f64 (pow.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) 4) 1/18)) (+.f64 (/.f64 (/.f64 1 (+.f64 alpha 2)) (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (/.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))) 1)) (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))
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(pow.f64 2 (pow.f64 1 1/3))
2
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(pow.f64 2 (pow.f64 1 1/3))
2
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(fma.f64 -1 (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) (pow.f64 (pow.f64 (log.f64 2) 4) 1/18)) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))) -1/2) (/.f64 2 beta)) 2)
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beta))) 2)))) (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (log1p.f64 (/.f64 beta (+.f64 2 beta)))) 1/18) (pow.f64 (/.f64 1 (log1p.f64 (/.f64 beta (+.f64 2 beta)))) 1/18)) (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2))))) (+.f64 1 (/.f64 beta (+.f64 2 beta))))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (/.f64 beta (+.f64 2 beta))) 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (/.f64 beta (+.f64 2 beta))) 8)) 1/18))) (*.f64 2/3 (*.f64 (cbrt.f64 (/.f64 1 (log1p.f64 (/.f64 beta (+.f64 2 beta))))) (-.f64 (*.f64 1/6 (fma.f64 -6 (/.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))) (+.f64 1 (/.f64 beta (+.f64 2 beta)))) (fma.f64 -2 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 3) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 3)) (*.f64 6 (*.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2))))))) (fma.f64 -2/3 (/.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (/.f64 beta (+.f64 2 beta))) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (/.f64 beta (+.f64 2 beta))) 5)) 1/18)) (*.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (+.f64 (*.f64 1/2 (-.f64 (*.f64 2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3))) (+.f64 1 (/.f64 beta (+.f64 2 beta))))) (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2)))) (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (log1p.f64 (/.f64 beta (+.f64 2 beta)))) 1/18) (pow.f64 (/.f64 1 (log1p.f64 (/.f64 beta (+.f64 2 beta)))) 1/18)) (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2))))))) (+.f64 1 (/.f64 beta (+.f64 2 beta)))) (*.f64 -1/27 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 3) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 3)) (cbrt.f64 (/.f64 1 (pow.f64 (log1p.f64 (/.f64 beta (+.f64 2 beta))) 2))))))))))))))))) (+.f64 1 (/.f64 beta (+.f64 2 beta))))))
(exp.f64 (*.f64 (pow.f64 1 1/3) (+.f64 (log.f64 (+.f64 2 (*.f64 2 beta))) (log.f64 (/.f64 1 alpha)))))
(exp.f64 (+.f64 (log.f64 (fma.f64 2 beta 2)) (neg.f64 (log.f64 alpha))))
(exp.f64 (-.f64 (log.f64 (fma.f64 2 beta 2)) (log.f64 alpha)))
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(pow.f64 (+.f64 (log.f64 (+.f64 2 (*.f64 2 beta))) (log.f64 (/.f64 1 alpha))) 1/3)
(cbrt.f64 (+.f64 (log.f64 (fma.f64 2 beta 2)) (neg.f64 (log.f64 alpha))))
(cbrt.f64 (-.f64 (log.f64 (fma.f64 2 beta 2)) (log.f64 alpha)))
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(*.f64 (pow.f64 1 1/3) (log.f64 2))
(log.f64 2)
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(-.f64 (/.f64 (fma.f64 beta -2 -2) alpha) (*.f64 beta (/.f64 (+.f64 2 beta) (pow.f64 alpha 2))))
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(/.f64 (-.f64 (*.f64 (*.f64 -1 (fma.f64 beta -2 -2)) (pow.f64 alpha 2)) (*.f64 alpha (*.f64 beta (+.f64 beta 2)))) (pow.f64 alpha 3))
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(*.f64 beta (+.f64 2 beta))
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(*.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (fma.f64 2 beta 2))) 2) (cbrt.f64 (/.f64 alpha (fma.f64 2 beta 2))))
(/.f64 alpha (fma.f64 2 beta 2))
(*.f64 (sqrt.f64 (/.f64 alpha (fma.f64 2 beta 2))) (sqrt.f64 (/.f64 alpha (fma.f64 2 beta 2))))
(/.f64 alpha (fma.f64 2 beta 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) 1) (/.f64 (cbrt.f64 alpha) (fma.f64 2 beta 2)))
(/.f64 alpha (fma.f64 2 beta 2))
(*.f64 (/.f64 (sqrt.f64 alpha) 1) (/.f64 (sqrt.f64 alpha) (fma.f64 2 beta 2)))
(/.f64 alpha (fma.f64 2 beta 2))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2)) (/.f64 alpha (cbrt.f64 (fma.f64 2 beta 2))))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 2 beta 2))) (/.f64 alpha (sqrt.f64 (fma.f64 2 beta 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2)) (cbrt.f64 (/.f64 alpha (fma.f64 2 beta 2))))
(*.f64 (cbrt.f64 (/.f64 alpha (fma.f64 2 beta 2))) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (fma.f64 2 beta 2))) (/.f64 (cbrt.f64 alpha) (sqrt.f64 (fma.f64 2 beta 2))))
(*.f64 (/.f64 (sqrt.f64 alpha) (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2)) (/.f64 (sqrt.f64 alpha) (cbrt.f64 (fma.f64 2 beta 2))))
(pow.f64 (/.f64 alpha (fma.f64 2 beta 2)) 1)
(/.f64 alpha (fma.f64 2 beta 2))
(pow.f64 (cbrt.f64 (/.f64 alpha (fma.f64 2 beta 2))) 3)
(/.f64 alpha (fma.f64 2 beta 2))
(pow.f64 (pow.f64 (/.f64 alpha (fma.f64 2 beta 2)) 3) 1/3)
(/.f64 alpha (fma.f64 2 beta 2))
(pow.f64 (sqrt.f64 (/.f64 alpha (fma.f64 2 beta 2))) 2)
(/.f64 alpha (fma.f64 2 beta 2))
(pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) -1)
(/.f64 alpha (fma.f64 2 beta 2))
(sqrt.f64 (pow.f64 (/.f64 alpha (fma.f64 2 beta 2)) 2))
(fabs.f64 (/.f64 alpha (fma.f64 2 beta 2)))
(log.f64 (exp.f64 (/.f64 alpha (fma.f64 2 beta 2))))
(/.f64 alpha (fma.f64 2 beta 2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 alpha (fma.f64 2 beta 2)))))
(/.f64 alpha (fma.f64 2 beta 2))
(cbrt.f64 (pow.f64 (/.f64 alpha (fma.f64 2 beta 2)) 3))
(/.f64 alpha (fma.f64 2 beta 2))
(cbrt.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 (fma.f64 2 beta 2) 3)))
(/.f64 alpha (fma.f64 2 beta 2))
(expm1.f64 (log1p.f64 (/.f64 alpha (fma.f64 2 beta 2))))
(+.f64 1 (-.f64 (/.f64 alpha (fma.f64 2 beta 2)) 1))
(log1p.f64 (expm1.f64 (/.f64 alpha (fma.f64 2 beta 2))))
(/.f64 alpha (fma.f64 2 beta 2))
(exp.f64 (log.f64 (/.f64 alpha (fma.f64 2 beta 2))))
(/.f64 alpha (fma.f64 2 beta 2))
(exp.f64 (*.f64 (log.f64 (/.f64 alpha (fma.f64 2 beta 2))) 1))
(/.f64 alpha (fma.f64 2 beta 2))

eval2.6s (17.1%)

Compiler

Compiled 97514 to 78725 computations (19.3% saved)

prune164.0ms (1.1%)

Pruning

24 alts after pruning (13 fresh and 11 done)

PrunedKeptTotal
New7515756
Fresh088
Picked145
Done178
Total75324777
Accuracy
100.0%
Counts
777 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.9%
(/.f64 (pow.f64 (exp.f64 1) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 3)) 2)
77.5%
(/.f64 (pow.f64 (E.f64) (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) 2)
26.0%
(/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2)
9.2%
(/.f64 (/.f64 1 (*.f64 1/2 (/.f64 alpha beta))) 2)
24.0%
(/.f64 (/.f64 1 (expm1.f64 (log1p.f64 (/.f64 alpha (fma.f64 2 beta 2))))) 2)
19.3%
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (pow.f64 alpha 2))) 2)
24.3%
(/.f64 (-.f64 (+.f64 (*.f64 -1 (*.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 beta 2) alpha))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))) (*.f64 2 (/.f64 beta (pow.f64 alpha 2)))) 2)
24.7%
(/.f64 (-.f64 (*.f64 (-.f64 (-.f64 -2 beta) beta) (/.f64 (+.f64 2 beta) (pow.f64 alpha 2))) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 2)
7.5%
(/.f64 (-.f64 (*.f64 -1 (/.f64 (*.f64 beta -2) alpha)) (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))) 2)
28.9%
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
53.6%
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
51.9%
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
77.9%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
76.0%
(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
50.0%
(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
22.1%
(/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 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)))))) 2)
26.0%
(/.f64 (*.f64 (/.f64 1 alpha) (fma.f64 2 beta 2)) 2)
77.0%
(/.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 3)) 2)
77.9%
(/.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)
9.2%
(/.f64 beta alpha)
36.8%
(/.f64 2 2)
21.1%
(/.f64 1 alpha)
53.2%
(/.f64 1 2)
26.0%
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
Compiler

Compiled 922 to 700 computations (24.1% saved)

regimes161.0ms (1%)

Counts
33 → 2
Calls
Call 1
Inputs
(/.f64 1 2)
(/.f64 1 alpha)
(/.f64 2 2)
(/.f64 beta alpha)
(/.f64 (+.f64 -1 1) 2)
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
(/.f64 (/.f64 1 (*.f64 1/2 (/.f64 alpha beta))) 2)
(/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2)
(/.f64 (/.f64 1 (/.f64 alpha (+.f64 (+.f64 beta beta) 2))) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
(/.f64 (*.f64 (/.f64 1 alpha) (fma.f64 2 beta 2)) 2)
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (pow.f64 alpha 2))) 2)
(/.f64 (-.f64 (*.f64 -1 (/.f64 (*.f64 beta -2) alpha)) (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))) 2)
(/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -2 beta) 2) alpha)) (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))) 2)
(/.f64 (-.f64 (*.f64 (-.f64 (-.f64 -2 beta) beta) (/.f64 (+.f64 2 beta) (pow.f64 alpha 2))) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 2)
(/.f64 (-.f64 (+.f64 (*.f64 -1 (*.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 beta 2) alpha))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))) (*.f64 2 (/.f64 beta (pow.f64 alpha 2)))) 2)
(/.f64 (-.f64 (+.f64 (*.f64 -1 (*.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 beta 2) alpha))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))) (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha) 1/2)) 3)
(/.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)
(/.f64 (pow.f64 (E.f64) (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) 2)
(/.f64 (/.f64 1 (expm1.f64 (log1p.f64 (/.f64 alpha (fma.f64 2 beta 2))))) 2)
(/.f64 (pow.f64 (exp.f64 1) (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)
(/.f64 (-.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))) 2)
(/.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 3)) 2)
(/.f64 (pow.f64 (exp.f64 1) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 3)) 2)
(/.f64 (-.f64 (/.f64 (+.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 2 beta) alpha) 2) (/.f64 4 (pow.f64 alpha 2))) (pow.f64 alpha 2)) (*.f64 (/.f64 (-.f64 (*.f64 2 beta) 2) alpha) (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)))) (*.f64 (/.f64 (-.f64 (*.f64 2 beta) 2) alpha) (pow.f64 alpha 2))) (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))) 2)
(/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 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)))))) 2)
Outputs
(/.f64 (-.f64 (*.f64 (-.f64 (-.f64 -2 beta) beta) (/.f64 (+.f64 2 beta) (pow.f64 alpha 2))) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 2)
(/.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)
Calls

5 calls:

88.0ms
beta
34.0ms
alpha
20.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
8.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
7.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
Results
AccuracySegmentsBranch
95.6%2alpha
77.9%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)

regimes84.0ms (0.5%)

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

3 calls:

58.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
15.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
6.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
Results
AccuracySegmentsBranch
99.9%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
99.9%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
99.9%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
Compiler

Compiled 39 to 27 computations (30.8% saved)

regimes30.0ms (0.2%)

Counts
20 → 2
Calls
Call 1
Inputs
(/.f64 1 2)
(/.f64 1 alpha)
(/.f64 2 2)
(/.f64 beta alpha)
(/.f64 (+.f64 -1 1) 2)
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
(/.f64 (/.f64 1 (*.f64 1/2 (/.f64 alpha beta))) 2)
(/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2)
(/.f64 (/.f64 1 (/.f64 alpha (+.f64 (+.f64 beta beta) 2))) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
(/.f64 (*.f64 (/.f64 1 alpha) (fma.f64 2 beta 2)) 2)
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (pow.f64 alpha 2))) 2)
(/.f64 (-.f64 (*.f64 -1 (/.f64 (*.f64 beta -2) alpha)) (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))) 2)
(/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -2 beta) 2) alpha)) (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))) 2)
Outputs
(/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
Calls

3 calls:

15.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
8.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
6.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
Results
AccuracySegmentsBranch
99.6%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
99.6%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
99.6%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
Compiler

Compiled 39 to 27 computations (30.8% saved)

regimes26.0ms (0.2%)

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

1 calls:

25.0ms
alpha
Results
AccuracySegmentsBranch
93.9%2alpha
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes16.0ms (0.1%)

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

1 calls:

15.0ms
alpha
Results
AccuracySegmentsBranch
93.9%2alpha
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes30.0ms (0.2%)

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

2 calls:

17.0ms
beta
12.0ms
alpha
Results
AccuracySegmentsBranch
75.1%2beta
75.3%2alpha
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes28.0ms (0.2%)

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

2 calls:

15.0ms
beta
12.0ms
alpha
Results
AccuracySegmentsBranch
74.8%2beta
74.7%2alpha
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes21.0ms (0.1%)

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

2 calls:

10.0ms
beta
10.0ms
alpha
Results
AccuracySegmentsBranch
74.7%2alpha
74.3%2beta
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes19.0ms (0.1%)

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

2 calls:

10.0ms
beta
8.0ms
alpha
Results
AccuracySegmentsBranch
74.3%2beta
69.5%2alpha
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes18.0ms (0.1%)

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

2 calls:

14.0ms
alpha
3.0ms
beta
Results
AccuracySegmentsBranch
69.5%2alpha
53.2%1beta
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

4.0ms
beta
3.0ms
alpha
Results
AccuracySegmentsBranch
53.2%1beta
53.2%1alpha
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999999982500748
-0.9997641250607537
Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999999982500748
-0.9997641250607537
Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999999982500748
-0.9997641250607537
Compiler

Compiled 20 to 15 computations (25% saved)

bsearch18.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
18.0ms
8.421954254447891e+19
6.38802823426246e+25
Results
15.0ms128×256valid
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 236 to 186 computations (21.2% saved)

bsearch62.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
61.0ms
8.421954254447891e+19
6.38802823426246e+25
Results
58.0ms128×256valid
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 218 to 168 computations (22.9% saved)

bsearch20.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
20.0ms
0.0019956888773972645
1142905985.0141025
Results
16.0ms144×256valid
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 220 to 175 computations (20.5% saved)

bsearch18.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
18.0ms
0.10631972927302502
3.147559135633026
Results
7.0ms69×256valid
5.0ms20×1024valid
1.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
Compiler

Compiled 132 to 120 computations (9.1% saved)

bsearch23.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
22.0ms
0.0019956888773972645
1142905985.0141025
Results
19.0ms144×256valid
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 180 to 145 computations (19.4% saved)

bsearch28.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
27.0ms
3.147559135633026
11.880532022938572
Results
22.0ms54×256valid
2.0ms1024valid
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
0.0ms256valid
0.0ms256valid
0.0ms512valid
Compiler

Compiled 80 to 75 computations (6.3% saved)

bsearch35.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
35.0ms
0.0019956888773972645
1142905985.0141025
Results
15.0ms144×256valid
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
16.0ms256valid
Compiler

Compiled 140 to 125 computations (10.7% saved)

simplify81.0ms (0.5%)

Algorithm
egg-herbie
Rules
462×unsub-neg
252×neg-mul-1
228×distribute-lft-neg-in
150×neg-sub0
144×cancel-sign-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077818
1106818
2128818
3144818
4170818
5218818
6268818
7380818
8588818
9785818
10901818
111027818
121138818
131196818
141231818
151246818
161251818
171252818
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -2251349453722511/2251799813685248) (/.f64 (-.f64 (*.f64 (-.f64 (-.f64 -2 beta) beta) (/.f64 (+.f64 2 beta) (pow.f64 alpha 2))) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 2) (/.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -2251349453722511/2251799813685248) (/.f64 (-.f64 (*.f64 (-.f64 (-.f64 -2 beta) beta) (/.f64 (+.f64 2 beta) (pow.f64 alpha 2))) (/.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)) -2251349453722511/2251799813685248) (/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 alpha 96000000000000000000) (/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2) (/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 85000000000000000000) (/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2) (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)))
(if (<=.f64 alpha 7/4) (/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)))
(if (<=.f64 beta 2) (/.f64 (+.f64 (*.f64 beta 1/2) 1) 2) (/.f64 2 2))
(if (<=.f64 alpha 27/2) (/.f64 1 2) (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)))
(if (<=.f64 beta 3602879701896397/1125899906842624) (/.f64 1 2) (/.f64 2 2))
(if (<=.f64 alpha 2) (/.f64 1 2) (/.f64 1 alpha))
(/.f64 1 2)
Outputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -2251349453722511/2251799813685248) (/.f64 (-.f64 (*.f64 (-.f64 (-.f64 -2 beta) beta) (/.f64 (+.f64 2 beta) (pow.f64 alpha 2))) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 2) (/.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -2251349453722511/2251799813685248) (/.f64 (-.f64 (*.f64 (-.f64 (-.f64 -2 beta) beta) (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 2) (/.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -2251349453722511/2251799813685248) (/.f64 (+.f64 (*.f64 (-.f64 (-.f64 -2 beta) beta) (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (/.f64 (-.f64 beta (-.f64 -2 beta)) alpha)) 2) (/.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -2251349453722511/2251799813685248) (/.f64 (+.f64 (*.f64 (-.f64 (-.f64 -2 beta) beta) (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (/.f64 (+.f64 beta (-.f64 beta -2)) alpha)) 2) (/.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -2251349453722511/2251799813685248) (/.f64 (-.f64 (*.f64 (-.f64 (-.f64 -2 beta) beta) (/.f64 (+.f64 2 beta) (pow.f64 alpha 2))) (/.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)) -2251349453722511/2251799813685248) (/.f64 (-.f64 (*.f64 (-.f64 (-.f64 -2 beta) beta) (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (/.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)) -2251349453722511/2251799813685248) (/.f64 (+.f64 (*.f64 (-.f64 (-.f64 -2 beta) beta) (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (/.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)) -2251349453722511/2251799813685248) (/.f64 (+.f64 (*.f64 (-.f64 (-.f64 -2 beta) beta) (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (/.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 beta alpha) 2)) -2251349453722511/2251799813685248) (/.f64 (+.f64 (*.f64 (-.f64 (-.f64 -2 beta) beta) (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (/.f64 (+.f64 beta (-.f64 beta -2)) alpha)) 2) (/.f64 (-.f64 1 (/.f64 (-.f64 alpha beta) (+.f64 (+.f64 beta alpha) 2))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -2251349453722511/2251799813685248) (/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -2251349453722511/2251799813685248) (/.f64 (/.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 beta alpha) 2)) -2251349453722511/2251799813685248) (/.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha) 2) (/.f64 (-.f64 1 (/.f64 (-.f64 alpha beta) (+.f64 (+.f64 beta alpha) 2))) 2))
(if (<=.f64 alpha 96000000000000000000) (/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2) (/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 96000000000000000000) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha) 2))
(if (<=.f64 alpha 96000000000000000000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha) 2))
(if (<=.f64 alpha 85000000000000000000) (/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2) (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)))
(if (<=.f64 alpha 85000000000000000000) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)))
(if (<=.f64 alpha 85000000000000000000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)))
(if (<=.f64 alpha 7/4) (/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)))
(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 (+.f64 (*.f64 beta 1/2) 1) 2) 1)
(if (<=.f64 alpha 27/2) (/.f64 1 2) (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)))
(if (<=.f64 alpha 27/2) 1/2 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)))
(if (<=.f64 beta 3602879701896397/1125899906842624) (/.f64 1 2) (/.f64 2 2))
(if (<=.f64 beta 3602879701896397/1125899906842624) 1/2 1)
(if (<=.f64 alpha 2) (/.f64 1 2) (/.f64 1 alpha))
(if (<=.f64 alpha 2) 1/2 (/.f64 1 alpha))
(/.f64 1 2)
1/2
Compiler

Compiled 251 to 181 computations (27.9% saved)

soundness2.5s (16%)

Rules
6132×fma-neg
1596×fma-define
1404×fma-neg
1404×fma-neg
1404×fma-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038359
196351
2204351
3534343
41351343
53461343
66068343
76956343
87145343
97181343
107228343
117228343
127435343
137550343
147552343
157552315
045112390
1128411925
2466011696
01480
120280
2317480
045112390
1128411925
2466011696
045112390
1128411925
2466011696
0108933491
1329632010
01680120089
15546118121
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 302 to 225 computations (25.5% saved)

end0.0ms (0%)

preprocess122.0ms (0.8%)

Compiler

Compiled 492 to 330 computations (32.9% saved)

Profiling

Loading profile data...