Octave 3.8, jcobi/1

Time bar (total: 11.6s)

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 (12.2%)

Results
873.0ms6499×body256valid
400.0ms1107×body1024valid
115.0ms588×body512valid
21.0ms62×body2048valid
Bogosity

preprocess258.0ms (2.2%)

Algorithm
egg-herbie
Rules
1436×sub-neg
1292×div-sub
860×distribute-lft-neg-in
732×fma-def
594×neg-mul-1
FPErrors
Click to see full error table
truthopredexupredexsubexpr
1890-0-#f
670-0-(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
00-0-(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
00-0-(-.f64 beta alpha)
00-0-(+.f64 alpha beta)
00-0-alpha
00-0-2
00-0-(+.f64 (+.f64 alpha beta) 2)
00-0-1
00-0-(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
00-0-beta
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
038367
192359
2202351
3539343
41571343
54665343
67242343
Stop Event
node limit
Calls
Call 1
Inputs
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta (neg.f64 alpha)) (+.f64 (+.f64 (neg.f64 alpha) beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 (neg.f64 beta) alpha) (+.f64 (+.f64 alpha (neg.f64 beta)) 2)) 1) 2)
(neg.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta (neg.f64 alpha)) (+.f64 (+.f64 (neg.f64 alpha) beta) 2)) 1) 2))
(neg.f64 (/.f64 (+.f64 (/.f64 (-.f64 (neg.f64 beta) alpha) (+.f64 (+.f64 alpha (neg.f64 beta)) 2)) 1) 2))
(/.f64 (+.f64 (/.f64 (-.f64 alpha beta) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
Outputs
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 2)
(-.f64 1/2 (/.f64 (/.f64 (-.f64 alpha beta) (+.f64 beta (+.f64 alpha 2))) 2))
(+.f64 1/2 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 2)
(-.f64 1/2 (/.f64 (/.f64 (-.f64 alpha beta) (+.f64 beta (+.f64 alpha 2))) 2))
(+.f64 1/2 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))
(/.f64 (+.f64 (/.f64 (-.f64 beta (neg.f64 alpha)) (+.f64 (+.f64 (neg.f64 alpha) beta) 2)) 1) 2)
(/.f64 (+.f64 1 (/.f64 (-.f64 beta (neg.f64 alpha)) (+.f64 2 (-.f64 beta alpha)))) 2)
(/.f64 (+.f64 1 (/.f64 (+.f64 beta alpha) (-.f64 (+.f64 beta 2) alpha))) 2)
(/.f64 (+.f64 1 (/.f64 (+.f64 beta alpha) (+.f64 beta (-.f64 2 alpha)))) 2)
(+.f64 (/.f64 (+.f64 beta alpha) (+.f64 4 (*.f64 2 (-.f64 beta alpha)))) 1/2)
(+.f64 1/2 (/.f64 (+.f64 beta alpha) (+.f64 4 (*.f64 (-.f64 alpha beta) -2))))
(/.f64 (+.f64 (/.f64 (-.f64 (neg.f64 beta) alpha) (+.f64 (+.f64 alpha (neg.f64 beta)) 2)) 1) 2)
(/.f64 (+.f64 1 (/.f64 (-.f64 (neg.f64 beta) alpha) (+.f64 2 (-.f64 alpha beta)))) 2)
(/.f64 (+.f64 1 (/.f64 (-.f64 (neg.f64 beta) alpha) (+.f64 alpha (-.f64 2 beta)))) 2)
(/.f64 (-.f64 1 (/.f64 (+.f64 beta alpha) (+.f64 2 (-.f64 alpha beta)))) 2)
(-.f64 1/2 (/.f64 (+.f64 beta alpha) (+.f64 4 (*.f64 2 (-.f64 alpha beta)))))
(+.f64 1/2 (*.f64 -1/2 (/.f64 (+.f64 beta alpha) (+.f64 2 (-.f64 alpha beta)))))
(+.f64 1/2 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (-.f64 -2 alpha))) 1/2))
(neg.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta (neg.f64 alpha)) (+.f64 (+.f64 (neg.f64 alpha) beta) 2)) 1) 2))
(/.f64 (neg.f64 (+.f64 1 (/.f64 (-.f64 beta (neg.f64 alpha)) (+.f64 2 (-.f64 beta alpha))))) 2)
(/.f64 (neg.f64 (+.f64 1 (/.f64 (+.f64 beta alpha) (-.f64 (+.f64 beta 2) alpha)))) 2)
(/.f64 (-.f64 -1 (/.f64 (+.f64 beta alpha) (+.f64 beta (-.f64 2 alpha)))) 2)
(-.f64 -1/2 (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (-.f64 2 alpha))) 2))
(+.f64 -1/2 (/.f64 (+.f64 beta alpha) (*.f64 2 (+.f64 (-.f64 alpha beta) -2))))
(-.f64 -1/2 (/.f64 (+.f64 beta alpha) (+.f64 4 (*.f64 (-.f64 alpha beta) -2))))
(neg.f64 (/.f64 (+.f64 (/.f64 (-.f64 (neg.f64 beta) alpha) (+.f64 (+.f64 alpha (neg.f64 beta)) 2)) 1) 2))
(neg.f64 (/.f64 (+.f64 1 (/.f64 (-.f64 (neg.f64 beta) alpha) (+.f64 2 (-.f64 alpha beta)))) 2))
(/.f64 (-.f64 -1 (/.f64 (-.f64 (neg.f64 beta) alpha) (+.f64 alpha (-.f64 2 beta)))) 2)
(/.f64 (+.f64 -1 (/.f64 (+.f64 beta alpha) (+.f64 2 (-.f64 alpha beta)))) 2)
(+.f64 -1/2 (/.f64 (+.f64 beta alpha) (+.f64 4 (*.f64 2 (-.f64 alpha beta)))))
(*.f64 (-.f64 -1 (/.f64 (+.f64 beta alpha) (+.f64 beta (-.f64 -2 alpha)))) 1/2)
(/.f64 (+.f64 (/.f64 (-.f64 alpha beta) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
(/.f64 (+.f64 1 (/.f64 (-.f64 alpha beta) (+.f64 beta (+.f64 alpha 2)))) 2)
(-.f64 1/2 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))
(+.f64 1/2 (/.f64 (/.f64 (-.f64 alpha beta) (+.f64 beta (+.f64 alpha 2))) 2))
Compiler

Compiled 117 to 59 computations (49.6% saved)

eval1.0ms (0%)

Compiler

Compiled 41 to 28 computations (31.7% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
76.5%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
76.5%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
Compiler

Compiled 30 to 22 computations (26.7% saved)

localize119.0ms (1%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
100.0%
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
76.5%
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
Compiler

Compiled 51 to 24 computations (52.9% saved)

series11.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite278.0ms (2.4%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01480
120680
2329680
Stop Event
node limit
Counts
2 → 74
Calls
Call 1
Inputs
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
Outputs
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 1)
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))
(-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))
(*.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))
(*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1)
(*.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(*.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))))
(/.f64 1 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)) (neg.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1)
(fma.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)
(fma.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)
(+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(-.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1)
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))
(*.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (-.f64 beta alpha) (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1))
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)
(*.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2) (*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (*.f64 (cbrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1))
(*.f64 (sqrt.f64 (-.f64 beta alpha)) (*.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (neg.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 -2 (neg.f64 (+.f64 beta alpha)))))
(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) 1) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) 1) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))))
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2)))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)
(pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -1)
(neg.f64 (/.f64 (-.f64 beta alpha) (+.f64 -2 (neg.f64 (+.f64 beta alpha)))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))

simplify167.0ms (1.4%)

Algorithm
egg-herbie
Rules
1312×cancel-sign-sub-inv
1002×fma-neg
806×unswap-sqr
598×sub-neg
512×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03869396
111439042
242958889
Stop Event
node limit
Counts
122 → 233
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)))
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1)
(fma.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)
(fma.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)
(+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(-.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1)
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))
(*.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (-.f64 beta alpha) (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1))
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)
(*.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2) (*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (*.f64 (cbrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1))
(*.f64 (sqrt.f64 (-.f64 beta alpha)) (*.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (neg.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 -2 (neg.f64 (+.f64 beta alpha)))))
(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) 1) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) 1) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))))
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2)))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)
(pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -1)
(neg.f64 (/.f64 (-.f64 beta alpha) (+.f64 -2 (neg.f64 (+.f64 beta alpha)))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
Outputs
(-.f64 1 (/.f64 alpha (+.f64 2 alpha)))
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(-.f64 (+.f64 1 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 alpha (+.f64 2 alpha)))
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2
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(-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))
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2
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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))
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(/.f64 (+.f64 beta (+.f64 2 beta)) alpha)
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(-.f64 (*.f64 (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)) (-.f64 (-.f64 -2 beta) beta)) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha))
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(/.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (sqrt.f64 (+.f64 alpha (+.f64 2 beta))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) 1) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(*.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 1 (pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha 2) beta)) 2)) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 (+.f64 alpha 2) beta))))
(/.f64 (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 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 alpha beta) 3) 8)) (-.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) 4) (*.f64 2 (+.f64 alpha beta))))
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 alpha beta) 3) 8)) (+.f64 4 (+.f64 (*.f64 -2 (+.f64 alpha beta)) (pow.f64 (+.f64 alpha beta) 2))))
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2)))
(/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha -2))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4))
(/.f64 (*.f64 (-.f64 beta alpha) (+.f64 alpha (-.f64 beta 2))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4))
(/.f64 (-.f64 beta alpha) (/.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4) (+.f64 alpha (+.f64 beta -2))))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3)
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 1/3)
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -1)
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(neg.f64 (/.f64 (-.f64 beta alpha) (+.f64 -2 (neg.f64 (+.f64 beta alpha)))))
(/.f64 (*.f64 (neg.f64 (-.f64 beta alpha)) 1) (-.f64 -2 (+.f64 alpha beta)))
(/.f64 (+.f64 (neg.f64 beta) alpha) (-.f64 (-.f64 -2 beta) alpha))
(/.f64 (fma.f64 beta -1 alpha) (-.f64 (-.f64 -2 beta) alpha))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(log.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(exp.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))

eval220.0ms (1.9%)

Compiler

Compiled 7344 to 5253 computations (28.5% saved)

prune59.0ms (0.5%)

Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New22211233
Fresh000
Picked011
Done000
Total22212234
Accuracy
100.0%
Counts
234 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.0%
(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) 2)
76.0%
(/.f64 (pow.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2) 2)
28.0%
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
26.9%
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)) (-.f64 (-.f64 -2 beta) beta)) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 2)
50.0%
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
76.5%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
73.9%
(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
26.4%
(/.f64 (+.f64 (+.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3) (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2))) (fma.f64 (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)) (-.f64 (-.f64 -2 beta) beta) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha))) 2)
32.4%
(/.f64 (+.f64 2 (neg.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta))) 2)
3.7%
(/.f64 (+.f64 -1 1) 2)
76.5%
(/.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) 2)
39.5%
(/.f64 2 2)
76.0%
(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) 2)
76.0%
(/.f64 (pow.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2) 2)
28.0%
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
26.9%
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)) (-.f64 (-.f64 -2 beta) beta)) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 2)
50.0%
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
76.5%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
73.9%
(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
26.4%
(/.f64 (+.f64 (+.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3) (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2))) (fma.f64 (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)) (-.f64 (-.f64 -2 beta) beta) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha))) 2)
32.4%
(/.f64 (+.f64 2 (neg.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta))) 2)
3.7%
(/.f64 (+.f64 -1 1) 2)
76.5%
(/.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) 2)
39.5%
(/.f64 2 2)
Compiler

Compiled 738 to 574 computations (22.2% saved)

localize262.0ms (2.3%)

Localize:

Found 10 expressions with local error:

NewAccuracyProgram
100.0%
(+.f64 beta (+.f64 alpha 2))
100.0%
(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
76.0%
(fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1)
100.0%
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
99.7%
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
100.0%
(/.f64 beta (+.f64 2 beta))
100.0%
(+.f64 (+.f64 alpha 2) beta)
100.0%
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
97.7%
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))
76.1%
(log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))
Compiler

Compiled 166 to 103 computations (38% saved)

series46.0ms (0.4%)

Counts
10 → 216
Calls

57 calls:

TimeVariablePointExpression
8.0ms
alpha
@-inf
(fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1)
5.0ms
beta
@0
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))
3.0ms
alpha
@inf
(fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1)
2.0ms
alpha
@-inf
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
2.0ms
beta
@0
(log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))

rewrite220.0ms (1.9%)

Algorithm
batch-egg-rewrite
Rules
722×expm1-udef
722×log1p-udef
366×log1p-expm1-u
254×associate-*r*
199×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026306
1448294
26711294
Stop Event
node limit
Counts
10 → 352
Calls
Call 1
Inputs
(log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(+.f64 (+.f64 alpha 2) beta)
(/.f64 beta (+.f64 2 beta))
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1)
(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
(+.f64 beta (+.f64 alpha 2))
Outputs
(+.f64 0 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 2)) (log.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))) (log.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) 1)
(*.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1)
(*.f64 1 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 2) (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) (sqrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(pow.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 3)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 2))
(log.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(exp.f64 (log.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 1))
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))
(-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (-.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))) 1)
(-.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))
(*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 1)
(*.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 2) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)))
(*.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 2))
(*.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3) 1) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) 1) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))
(pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 2)
(pow.f64 (exp.f64 1) (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 2)) (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) (sqrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)))
(fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 alpha (+.f64 beta 2))) 1)
(fma.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 2) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1)
(fma.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1)
(+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(-.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 1)
(-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))
(*.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)
(*.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha))
(*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 2) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (*.f64 (cbrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -1/2) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (sqrt.f64 (-.f64 beta alpha)) (*.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (neg.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 (neg.f64 (+.f64 beta alpha)) -2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) 1) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))
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(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3) 1) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) 1) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))
(pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 2)
(pow.f64 (exp.f64 1) (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 2)) (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) (sqrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)))
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))))) 1)
(*.f64 1 (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) 1)
(*.f64 -1 (/.f64 1 (+.f64 (neg.f64 (+.f64 beta alpha)) -2)))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))) (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)) (/.f64 1 (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -1/2) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) -1))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) -1) (pow.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) -1))
(*.f64 (/.f64 1 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 2 (-.f64 alpha beta)))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta (-.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 1 (-.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)))
(*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2))) (+.f64 2 (-.f64 alpha beta)))
(pow.f64 (+.f64 alpha (+.f64 beta 2)) -1)
(pow.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) 3) 1/3)
(pow.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -1/2) 2)
(sqrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 alpha (+.f64 beta 2)))))
(exp.f64 (*.f64 (log.f64 (+.f64 alpha (+.f64 beta 2))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 alpha (+.f64 beta 2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 alpha (+.f64 beta 2)))) 1)
(-.f64 (/.f64 (pow.f64 beta 2) (-.f64 beta (+.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (-.f64 beta (+.f64 alpha 2))))
(-.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 2 (-.f64 alpha beta))) (/.f64 (pow.f64 beta 2) (+.f64 2 (-.f64 alpha beta))))
(*.f64 (+.f64 alpha (+.f64 beta 2)) 1)
(*.f64 1 (+.f64 alpha (+.f64 beta 2)))
(*.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2) (cbrt.f64 (+.f64 alpha (+.f64 beta 2))))
(*.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))
(*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 2 (-.f64 alpha beta))))))
(*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta (-.f64 beta (+.f64 alpha 2))))))
(*.f64 (-.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (-.f64 beta (+.f64 alpha 2))))
(*.f64 (-.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2)) (/.f64 1 (+.f64 2 (-.f64 alpha beta))))
(/.f64 (+.f64 alpha (+.f64 beta 2)) 1)
(/.f64 1 (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
(/.f64 1 (/.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 2 (-.f64 alpha beta)))) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta (-.f64 beta (+.f64 alpha 2)))) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))))
(/.f64 1 (/.f64 (-.f64 beta (+.f64 alpha 2)) (-.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 2))))
(/.f64 1 (/.f64 (+.f64 2 (-.f64 alpha beta)) (-.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 1 (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -1/2))
(/.f64 (+.f64 (neg.f64 (+.f64 beta alpha)) -2) -1)
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 2 (-.f64 alpha beta)))))
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)) (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta (-.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 2)) (-.f64 beta (+.f64 alpha 2)))
(/.f64 (-.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2)) (+.f64 2 (-.f64 alpha beta)))
(/.f64 (neg.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (neg.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 2 (-.f64 alpha beta))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta (-.f64 beta (+.f64 alpha 2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 2))) (neg.f64 (-.f64 beta (+.f64 alpha 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2))) (neg.f64 (+.f64 2 (-.f64 alpha beta))))
(/.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (+.f64 (pow.f64 alpha 2) (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha (+.f64 beta 2)))))
(/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8) (+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))))
(/.f64 (-.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2)) (-.f64 alpha (+.f64 beta 2)))
(/.f64 (-.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) 4) (-.f64 (+.f64 beta alpha) 2))
(pow.f64 (+.f64 alpha (+.f64 beta 2)) 1)
(pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 3)
(pow.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)
(sqrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))
(log.f64 (exp.f64 (+.f64 alpha (+.f64 beta 2))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 alpha (+.f64 beta 2)))))
(cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3))
(expm1.f64 (log1p.f64 (+.f64 alpha (+.f64 beta 2))))
(exp.f64 (log.f64 (+.f64 alpha (+.f64 beta 2))))
(exp.f64 (*.f64 (log.f64 (+.f64 alpha (+.f64 beta 2))) 1))
(log1p.f64 (expm1.f64 (+.f64 alpha (+.f64 beta 2))))
(fma.f64 1 beta (+.f64 alpha 2))
(fma.f64 1 alpha (+.f64 beta 2))
(fma.f64 1 (+.f64 alpha 2) beta)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2) (cbrt.f64 (+.f64 alpha 2)) beta)
(fma.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 alpha) (+.f64 beta 2))
(fma.f64 (pow.f64 (cbrt.f64 beta) 2) (cbrt.f64 beta) (+.f64 alpha 2))
(fma.f64 (sqrt.f64 (+.f64 alpha 2)) (sqrt.f64 (+.f64 alpha 2)) beta)
(fma.f64 (sqrt.f64 alpha) (sqrt.f64 alpha) (+.f64 beta 2))
(fma.f64 (sqrt.f64 beta) (sqrt.f64 beta) (+.f64 alpha 2))

simplify273.0ms (2.3%)

Algorithm
egg-herbie
Rules
1824×fma-def
1004×distribute-lft-in
988×distribute-rgt-in
704×times-frac
516×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0113734533
1345132829
Stop Event
node limit
Counts
568 → 680
Calls
Call 1
Inputs
(log.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))))
(+.f64 (log.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))))) (*.f64 beta (-.f64 (/.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 2 alpha))) (*.f64 -1 (/.f64 alpha (*.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2)))))))
(+.f64 (log.f64 (+.f64 1 (*.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 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 2) (pow.f64 (+.f64 1 (*.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 -1 (/.f64 alpha (+.f64 2 alpha))))))))) (*.f64 beta (-.f64 (/.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 2 alpha))) (*.f64 -1 (/.f64 alpha (*.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2))))))))
(+.f64 (log.f64 (+.f64 1 (*.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 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 3) (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) 3))) (*.f64 6 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)))) (+.f64 1 (*.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 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 2) (pow.f64 (+.f64 1 (*.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 -1 (/.f64 alpha (+.f64 2 alpha))))))))) (*.f64 beta (-.f64 (/.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 2 alpha))) (*.f64 -1 (/.f64 alpha (*.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 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 (*.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 (*.f64 1/6 (/.f64 (+.f64 (*.f64 1/4 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 3)) (+.f64 (*.f64 3/2 (*.f64 (+.f64 2 alpha) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2))) (*.f64 3 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))))) (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)))))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)))
(+.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 (*.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)))))
(log.f64 (+.f64 1 (/.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 (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 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 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 (*.f64 1/6 (*.f64 (pow.f64 alpha 3) (+.f64 (*.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))))) (+.f64 (*.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 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2) (+.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 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 2 beta))))))))))
(+.f64 (log.f64 (-.f64 beta (*.f64 -1 (+.f64 2 beta)))) (log.f64 (/.f64 1 alpha)))
(+.f64 (log.f64 (-.f64 beta (*.f64 -1 (+.f64 2 beta)))) (+.f64 (log.f64 (/.f64 1 alpha)) (*.f64 -1 (/.f64 (+.f64 2 beta) alpha))))
(+.f64 (log.f64 (-.f64 beta (*.f64 -1 (+.f64 2 beta)))) (+.f64 (log.f64 (/.f64 1 alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 beta) alpha)) (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1 (pow.f64 (+.f64 2 beta) 2)) (*.f64 2 (pow.f64 (+.f64 2 beta) 2))) (pow.f64 alpha 2))))))
(+.f64 (log.f64 (-.f64 beta (*.f64 -1 (+.f64 2 beta)))) (+.f64 (log.f64 (/.f64 1 alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 beta) alpha)) (+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 -6 (pow.f64 (+.f64 2 beta) 3)) (+.f64 (*.f64 -2 (pow.f64 (+.f64 2 beta) 3)) (*.f64 6 (pow.f64 (+.f64 2 beta) 3)))) (pow.f64 alpha 3))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1 (pow.f64 (+.f64 2 beta) 2)) (*.f64 2 (pow.f64 (+.f64 2 beta) 2))) (pow.f64 alpha 2)))))))
(+.f64 (log.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta))) (log.f64 (/.f64 -1 alpha)))
(+.f64 (log.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta))) (+.f64 (log.f64 (/.f64 -1 alpha)) (*.f64 -1 (/.f64 (+.f64 2 beta) alpha))))
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2
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2
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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 (/.f64 alpha (+.f64 2 alpha)))
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1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha beta))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
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1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha beta))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
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(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(/.f64 beta (+.f64 2 beta))
(+.f64 (*.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta)))
(+.f64 (*.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (+.f64 (/.f64 beta (+.f64 2 beta)) (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (+.f64 2 beta))))
(+.f64 (*.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))) (+.f64 (/.f64 beta (+.f64 2 beta)) (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (+.f64 2 beta)))))
-1
(-.f64 (/.f64 beta alpha) (+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 beta) alpha))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 beta) (-.f64 beta (*.f64 -1 (+.f64 2 beta)))) (pow.f64 alpha 2))) (/.f64 beta alpha)) (+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 beta) alpha))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 beta) (-.f64 beta (*.f64 -1 (+.f64 2 beta)))) (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 (pow.f64 (+.f64 2 beta) 2) (-.f64 beta (*.f64 -1 (+.f64 2 beta)))) (pow.f64 alpha 3)))) (+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 beta) alpha))))
-1
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha)) (/.f64 (*.f64 (+.f64 2 beta) (-.f64 (*.f64 -1 beta) (+.f64 2 beta))) (pow.f64 alpha 2))) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 beta) 2) (-.f64 (*.f64 -1 beta) (+.f64 2 beta))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha)) (/.f64 (*.f64 (+.f64 2 beta) (-.f64 (*.f64 -1 beta) (+.f64 2 beta))) (pow.f64 alpha 2)))) 1)
(+.f64 2 beta)
(+.f64 2 (+.f64 alpha beta))
(+.f64 2 (+.f64 alpha beta))
(+.f64 2 (+.f64 alpha beta))
alpha
(+.f64 2 (+.f64 alpha beta))
(+.f64 2 (+.f64 alpha beta))
(+.f64 2 (+.f64 alpha beta))
alpha
(+.f64 2 (+.f64 alpha beta))
(+.f64 2 (+.f64 alpha beta))
(+.f64 2 (+.f64 alpha beta))
(+.f64 2 alpha)
(+.f64 2 (+.f64 alpha beta))
(+.f64 2 (+.f64 alpha beta))
(+.f64 2 (+.f64 alpha beta))
beta
(+.f64 2 (+.f64 alpha beta))
(+.f64 2 (+.f64 alpha beta))
(+.f64 2 (+.f64 alpha beta))
beta
(+.f64 2 (+.f64 alpha beta))
(+.f64 2 (+.f64 alpha beta))
(+.f64 2 (+.f64 alpha beta))
(*.f64 1/2 beta)
(+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/2 beta))
(+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (+.f64 (*.f64 1/8 (pow.f64 beta 3)) (*.f64 1/2 beta)))
(+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (+.f64 (*.f64 -1/16 (pow.f64 beta 4)) (+.f64 (*.f64 1/8 (pow.f64 beta 3)) (*.f64 1/2 beta))))
1
(-.f64 1 (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 8 (/.f64 1 (pow.f64 beta 3)))))
1
(-.f64 1 (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 8 (/.f64 1 (pow.f64 beta 3)))))
(/.f64 1 alpha)
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(+.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 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))
(/.f64 2 alpha)
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 beta alpha))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 beta alpha))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (+.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (+.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))))))))
2
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (*.f64 -1 (/.f64 (+.f64 2 alpha) beta))))
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))))
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 (*.f64 -1 (/.f64 (*.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))) (+.f64 (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))))))
2
(+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)))
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 beta 3))) (+.f64 (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))))
(+.f64 1 (/.f64 beta (+.f64 2 beta)))
(+.f64 1 (+.f64 (*.f64 alpha (-.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (/.f64 1 (+.f64 2 beta)))) (/.f64 beta (+.f64 2 beta))))
(+.f64 1 (+.f64 (*.f64 alpha (-.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (/.f64 1 (+.f64 2 beta)))) (+.f64 (*.f64 (pow.f64 alpha 2) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 beta (pow.f64 (+.f64 2 beta) 3)))) (/.f64 beta (+.f64 2 beta)))))
(+.f64 1 (+.f64 (*.f64 alpha (-.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (/.f64 1 (+.f64 2 beta)))) (+.f64 (*.f64 (pow.f64 alpha 2) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 beta (pow.f64 (+.f64 2 beta) 3)))) (+.f64 (*.f64 (pow.f64 alpha 3) (-.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 4))) (/.f64 1 (pow.f64 (+.f64 2 beta) 3)))) (/.f64 beta (+.f64 2 beta))))))
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)))))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 3)) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)))))))))
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (+.f64 2 beta))) alpha))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (+.f64 2 beta))) alpha)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (+.f64 2 beta))) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 beta (pow.f64 (+.f64 2 beta) 2))) (*.f64 -1 (pow.f64 (+.f64 2 beta) 3))) (pow.f64 alpha 3))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 3)) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (+.f64 2 beta))) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 beta (pow.f64 (+.f64 2 beta) 2))) (*.f64 -1 (pow.f64 (+.f64 2 beta) 3))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4))))))))
(/.f64 1 (+.f64 2 alpha))
(+.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (/.f64 1 (+.f64 2 alpha)))
(+.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 3))))
(+.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 3)))))
(/.f64 1 beta)
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))) (/.f64 1 beta))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))) (+.f64 (/.f64 1 beta) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 4))) (+.f64 (/.f64 1 beta) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3)))))
(/.f64 1 beta)
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))) (/.f64 1 beta))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))) (+.f64 (/.f64 1 beta) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 4))) (+.f64 (/.f64 1 beta) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3)))))
(/.f64 1 (+.f64 2 beta))
(+.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 beta) 2))) (/.f64 1 (+.f64 2 beta)))
(+.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 beta) 2))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 beta) 3))))
(+.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 beta) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 4))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 beta) 3)))))
(/.f64 1 alpha)
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 beta) (pow.f64 alpha 2))) (/.f64 1 alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 beta) (pow.f64 alpha 2))) (+.f64 (/.f64 1 alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 beta) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 4))) (+.f64 (/.f64 1 alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3)))))
(/.f64 1 alpha)
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 beta) (pow.f64 alpha 2))) (/.f64 1 alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 beta) (pow.f64 alpha 2))) (+.f64 (/.f64 1 alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 beta) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 4))) (+.f64 (/.f64 1 alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3)))))
(+.f64 2 alpha)
(+.f64 2 (+.f64 alpha beta))
(+.f64 2 (+.f64 alpha beta))
(+.f64 2 (+.f64 alpha beta))
beta
(+.f64 2 (+.f64 alpha beta))
(+.f64 2 (+.f64 alpha beta))
(+.f64 2 (+.f64 alpha beta))
beta
(+.f64 2 (+.f64 alpha beta))
(+.f64 2 (+.f64 alpha beta))
(+.f64 2 (+.f64 alpha beta))
(+.f64 2 beta)
(+.f64 2 (+.f64 alpha beta))
(+.f64 2 (+.f64 alpha beta))
(+.f64 2 (+.f64 alpha beta))
alpha
(+.f64 2 (+.f64 alpha beta))
(+.f64 2 (+.f64 alpha beta))
(+.f64 2 (+.f64 alpha beta))
alpha
(+.f64 2 (+.f64 alpha beta))
(+.f64 2 (+.f64 alpha beta))
(+.f64 2 (+.f64 alpha beta))
(+.f64 0 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 2)) (log.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))) (log.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) 1)
(*.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1)
(*.f64 1 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 2) (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) (sqrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(pow.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 3)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 2))
(log.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(exp.f64 (log.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 1))
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))
(-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (-.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))) 1)
(-.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))
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(log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 beta 2 2) alpha))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/2 (/.f64 alpha (fma.f64 beta 2 2))))))
(cbrt.f64 (pow.f64 (/.f64 1/2 (/.f64 alpha (fma.f64 beta 2 2))) 3))
(expm1.f64 (log1p.f64 (/.f64 1/2 (/.f64 alpha (fma.f64 beta 2 2)))))
(exp.f64 (log.f64 (/.f64 1/2 (/.f64 alpha (fma.f64 beta 2 2)))))
(exp.f64 (*.f64 (log.f64 (/.f64 1/2 (/.f64 alpha (fma.f64 beta 2 2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 1/2 (/.f64 alpha (fma.f64 beta 2 2)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 beta 2 2) alpha))) 1)
(*.f64 (fma.f64 beta 2 2) (/.f64 1 alpha))
(*.f64 (/.f64 (fma.f64 beta 2 2) alpha) 1)
(*.f64 1 (/.f64 (fma.f64 beta 2 2) alpha))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 beta 2 2) alpha)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 beta 2 2) alpha)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 beta 2 2) alpha)) 2) (cbrt.f64 (/.f64 (fma.f64 beta 2 2) alpha)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 beta 2 2)) 2) (*.f64 (cbrt.f64 (fma.f64 beta 2 2)) (/.f64 1 alpha)))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 beta 2 2) alpha)) (sqrt.f64 (/.f64 (fma.f64 beta 2 2) alpha)))
(*.f64 (sqrt.f64 (fma.f64 beta 2 2)) (*.f64 (sqrt.f64 (fma.f64 beta 2 2)) (/.f64 1 alpha)))
(*.f64 (neg.f64 (fma.f64 beta 2 2)) (/.f64 1 (neg.f64 alpha)))
(*.f64 (/.f64 1 alpha) (fma.f64 beta 2 2))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (fma.f64 beta 2 2) (cbrt.f64 alpha)))
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (fma.f64 beta 2 2) (sqrt.f64 alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 beta 2 2)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 beta 2 2)) alpha))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 beta 2 2)) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (fma.f64 beta 2 2) alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 beta 2 2)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (fma.f64 beta 2 2)) (sqrt.f64 alpha)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 beta 2 2)) 1) (/.f64 (sqrt.f64 (fma.f64 beta 2 2)) alpha))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 beta 2 2)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (fma.f64 beta 2 2)) (cbrt.f64 alpha)))
(pow.f64 (/.f64 (fma.f64 beta 2 2) alpha) 1)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 beta 2 2) alpha)) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 beta 2 2) alpha) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 beta 2 2) alpha)) 2)
(pow.f64 (/.f64 alpha (fma.f64 beta 2 2)) -1)
(neg.f64 (/.f64 (fma.f64 beta 2 2) (neg.f64 alpha)))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 beta 2 2) alpha) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 beta 2 2) alpha)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 beta 2 2) alpha))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 beta 2 2) alpha) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 beta 2 2) 3) (pow.f64 alpha 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 beta 2 2) alpha)))
(exp.f64 (log.f64 (/.f64 (fma.f64 beta 2 2) alpha)))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 beta 2 2) alpha)) 1))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 beta 2 2) alpha)))
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))
(-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (-.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))) 1)
(-.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))
(*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 1)
(*.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 2) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)))
(*.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 2))
(*.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3) 1) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) 1) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))
(pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 2)
(pow.f64 (exp.f64 1) (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 2)) (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) (sqrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)))
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))))) 1)
(*.f64 1 (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) 1)
(*.f64 -1 (/.f64 1 (+.f64 (neg.f64 (+.f64 beta alpha)) -2)))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))) (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)) (/.f64 1 (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -1/2) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) -1))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) -1) (pow.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) -1))
(*.f64 (/.f64 1 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 2 (-.f64 alpha beta)))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta (-.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 1 (-.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)))
(*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2))) (+.f64 2 (-.f64 alpha beta)))
(pow.f64 (+.f64 alpha (+.f64 beta 2)) -1)
(pow.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) 3) 1/3)
(pow.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -1/2) 2)
(sqrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 alpha (+.f64 beta 2)))))
(exp.f64 (*.f64 (log.f64 (+.f64 alpha (+.f64 beta 2))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 alpha (+.f64 beta 2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 alpha (+.f64 beta 2)))) 1)
(-.f64 (/.f64 (pow.f64 beta 2) (-.f64 beta (+.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (-.f64 beta (+.f64 alpha 2))))
(-.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 2 (-.f64 alpha beta))) (/.f64 (pow.f64 beta 2) (+.f64 2 (-.f64 alpha beta))))
(*.f64 (+.f64 alpha (+.f64 beta 2)) 1)
(*.f64 1 (+.f64 alpha (+.f64 beta 2)))
(*.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2) (cbrt.f64 (+.f64 alpha (+.f64 beta 2))))
(*.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))
(*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 2 (-.f64 alpha beta))))))
(*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta (-.f64 beta (+.f64 alpha 2))))))
(*.f64 (-.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (-.f64 beta (+.f64 alpha 2))))
(*.f64 (-.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2)) (/.f64 1 (+.f64 2 (-.f64 alpha beta))))
(/.f64 (+.f64 alpha (+.f64 beta 2)) 1)
(/.f64 1 (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
(/.f64 1 (/.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 2 (-.f64 alpha beta)))) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta (-.f64 beta (+.f64 alpha 2)))) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))))
(/.f64 1 (/.f64 (-.f64 beta (+.f64 alpha 2)) (-.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 2))))
(/.f64 1 (/.f64 (+.f64 2 (-.f64 alpha beta)) (-.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 1 (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -1/2))
(/.f64 (+.f64 (neg.f64 (+.f64 beta alpha)) -2) -1)
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 2 (-.f64 alpha beta)))))
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)) (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta (-.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 2)) (-.f64 beta (+.f64 alpha 2)))
(/.f64 (-.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2)) (+.f64 2 (-.f64 alpha beta)))
(/.f64 (neg.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (neg.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 2 (-.f64 alpha beta))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta (-.f64 beta (+.f64 alpha 2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 2))) (neg.f64 (-.f64 beta (+.f64 alpha 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2))) (neg.f64 (+.f64 2 (-.f64 alpha beta))))
(/.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (+.f64 (pow.f64 alpha 2) (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha (+.f64 beta 2)))))
(/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8) (+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))))
(/.f64 (-.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2)) (-.f64 alpha (+.f64 beta 2)))
(/.f64 (-.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) 4) (-.f64 (+.f64 beta alpha) 2))
(pow.f64 (+.f64 alpha (+.f64 beta 2)) 1)
(pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 3)
(pow.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)
(sqrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))
(log.f64 (exp.f64 (+.f64 alpha (+.f64 beta 2))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 alpha (+.f64 beta 2)))))
(cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3))
(expm1.f64 (log1p.f64 (+.f64 alpha (+.f64 beta 2))))
(exp.f64 (log.f64 (+.f64 alpha (+.f64 beta 2))))
(exp.f64 (*.f64 (log.f64 (+.f64 alpha (+.f64 beta 2))) 1))
(log1p.f64 (expm1.f64 (+.f64 alpha (+.f64 beta 2))))
(fma.f64 1 beta (+.f64 alpha 2))
(fma.f64 1 alpha (+.f64 beta 2))
(fma.f64 1 (+.f64 alpha 2) beta)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2) (cbrt.f64 (+.f64 alpha 2)) beta)
(fma.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 alpha) (+.f64 beta 2))
(fma.f64 (pow.f64 (cbrt.f64 beta) 2) (cbrt.f64 beta) (+.f64 alpha 2))
(fma.f64 (sqrt.f64 (+.f64 alpha 2)) (sqrt.f64 (+.f64 alpha 2)) beta)
(fma.f64 (sqrt.f64 alpha) (sqrt.f64 alpha) (+.f64 beta 2))
(fma.f64 (sqrt.f64 beta) (sqrt.f64 beta) (+.f64 alpha 2))
Outputs
(log.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))))
(log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))
(+.f64 (log.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))))) (*.f64 beta (-.f64 (/.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 2 alpha))) (*.f64 -1 (/.f64 alpha (*.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2)))))))
(+.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) (*.f64 beta (-.f64 (/.f64 1 (*.f64 (+.f64 alpha 2) (+.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))) (/.f64 (neg.f64 alpha) (*.f64 (+.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) (pow.f64 (+.f64 alpha 2) 2))))))
(fma.f64 beta (+.f64 (/.f64 1 (*.f64 (+.f64 alpha 2) (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (/.f64 (/.f64 alpha (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (pow.f64 (+.f64 alpha 2) 2))) (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))
(+.f64 (log.f64 (+.f64 1 (*.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 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 2) (pow.f64 (+.f64 1 (*.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 -1 (/.f64 alpha (+.f64 2 alpha))))))))) (*.f64 beta (-.f64 (/.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 2 alpha))) (*.f64 -1 (/.f64 alpha (*.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2))))))))
(+.f64 (log1p.f64 (/.f64 (neg.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 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) 2) (pow.f64 (+.f64 1 (/.f64 (neg.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 (neg.f64 alpha) (+.f64 alpha 2))))))) (*.f64 beta (-.f64 (/.f64 1 (*.f64 (+.f64 alpha 2) (+.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))) (/.f64 (neg.f64 alpha) (*.f64 (+.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) (pow.f64 (+.f64 alpha 2) 2)))))))
(+.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) (fma.f64 beta (+.f64 (/.f64 1 (*.f64 (+.f64 alpha 2) (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (/.f64 (/.f64 alpha (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (pow.f64 (+.f64 alpha 2) 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))))))
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2
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(exp.f64 (+.f64 (log.f64 (-.f64 beta (*.f64 -1 (+.f64 2 beta)))) (log.f64 (/.f64 1 alpha))))
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1
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-1
(-.f64 (/.f64 beta alpha) (+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 beta) alpha))))
(-.f64 (/.f64 beta alpha) (+.f64 1 (/.f64 (+.f64 -2 (neg.f64 beta)) alpha)))
(-.f64 (/.f64 beta alpha) (-.f64 1 (/.f64 (+.f64 2 beta) alpha)))
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(-.f64 (+.f64 (+.f64 (/.f64 beta alpha) (/.f64 (-.f64 -2 beta) (/.f64 (pow.f64 alpha 2) (+.f64 beta (+.f64 2 beta))))) (/.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 (pow.f64 alpha 3) (+.f64 beta (+.f64 2 beta))))) (-.f64 1 (/.f64 (+.f64 2 beta) alpha)))
-1
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha)) 1)
(fma.f64 -1 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) -1)
(fma.f64 -1 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) -1)
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(-.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)
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(+.f64 2 beta)
(+.f64 2 (+.f64 alpha beta))
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(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
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alpha
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
alpha
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(+.f64 2 (+.f64 alpha beta))
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(+.f64 2 alpha)
(+.f64 alpha 2)
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
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beta
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(+.f64 2 (+.f64 alpha beta))
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beta
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(*.f64 1/2 beta)
(*.f64 beta 1/2)
(+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/2 beta))
(fma.f64 -1/4 (pow.f64 beta 2) (*.f64 beta 1/2))
(fma.f64 (pow.f64 beta 2) -1/4 (*.f64 beta 1/2))
(+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (+.f64 (*.f64 1/8 (pow.f64 beta 3)) (*.f64 1/2 beta)))
(fma.f64 -1/4 (pow.f64 beta 2) (fma.f64 1/8 (pow.f64 beta 3) (*.f64 beta 1/2)))
(fma.f64 (pow.f64 beta 2) -1/4 (fma.f64 (pow.f64 beta 3) 1/8 (*.f64 beta 1/2)))
(+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (+.f64 (*.f64 -1/16 (pow.f64 beta 4)) (+.f64 (*.f64 1/8 (pow.f64 beta 3)) (*.f64 1/2 beta))))
(fma.f64 -1/4 (pow.f64 beta 2) (fma.f64 -1/16 (pow.f64 beta 4) (fma.f64 1/8 (pow.f64 beta 3) (*.f64 beta 1/2))))
(fma.f64 (pow.f64 beta 2) -1/4 (fma.f64 -1/16 (pow.f64 beta 4) (fma.f64 (pow.f64 beta 3) 1/8 (*.f64 beta 1/2))))
1
(-.f64 1 (*.f64 2 (/.f64 1 beta)))
(-.f64 1 (/.f64 2 beta))
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(-.f64 (+.f64 1 (/.f64 4 (pow.f64 beta 2))) (+.f64 (/.f64 2 beta) (/.f64 8 (pow.f64 beta 3))))
(-.f64 (+.f64 1 (+.f64 (/.f64 4 (pow.f64 beta 2)) (/.f64 -2 beta))) (/.f64 8 (pow.f64 beta 3)))
1
(-.f64 1 (*.f64 2 (/.f64 1 beta)))
(-.f64 1 (/.f64 2 beta))
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(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta)))
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(-.f64 (+.f64 1 (/.f64 4 (pow.f64 beta 2))) (+.f64 (/.f64 2 beta) (/.f64 8 (pow.f64 beta 3))))
(-.f64 (+.f64 1 (+.f64 (/.f64 4 (pow.f64 beta 2)) (/.f64 -2 beta))) (/.f64 8 (pow.f64 beta 3)))
(/.f64 1 alpha)
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(/.f64 beta alpha)
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(/.f64 beta alpha)
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(*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
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(/.f64 2 alpha)
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(/.f64 (*.f64 2 beta) alpha)
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(/.f64 (*.f64 2 beta) alpha)
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
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(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
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(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
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(+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))))
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(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
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(+.f64 1 (fma.f64 -1 (/.f64 alpha (+.f64 alpha 2)) (fma.f64 beta (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (pow.f64 beta 2) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)))))))
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(+.f64 1 (+.f64 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (+.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))))))))
(+.f64 1 (fma.f64 -1 (/.f64 alpha (+.f64 alpha 2)) (fma.f64 beta (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 (pow.f64 beta 2) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4))))))))
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2
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (*.f64 -1 (/.f64 (+.f64 2 alpha) beta))))
(+.f64 2 (fma.f64 -1 (/.f64 alpha beta) (neg.f64 (/.f64 (+.f64 alpha 2) beta))))
(+.f64 2 (/.f64 (-.f64 (fma.f64 -1 alpha -2) alpha) beta))
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(+.f64 2 (fma.f64 -1 (/.f64 alpha beta) (fma.f64 -1 (/.f64 (+.f64 alpha 2) beta) (+.f64 (/.f64 alpha (/.f64 (pow.f64 beta 2) (+.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2))))))
(+.f64 2 (+.f64 (/.f64 (-.f64 (fma.f64 -1 alpha -2) alpha) beta) (+.f64 (/.f64 alpha (/.f64 (pow.f64 beta 2) (+.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2)))))
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 (*.f64 -1 (/.f64 (*.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))) (+.f64 (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))))))
(+.f64 2 (fma.f64 -1 (/.f64 alpha beta) (fma.f64 -1 (/.f64 alpha (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 -1 (/.f64 (+.f64 alpha 2) beta) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)) (+.f64 (/.f64 alpha (/.f64 (pow.f64 beta 2) (+.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2))))))))
(+.f64 (-.f64 2 (/.f64 alpha beta)) (-.f64 (-.f64 (-.f64 (+.f64 (/.f64 alpha (/.f64 (pow.f64 beta 2) (+.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))) (/.f64 (+.f64 alpha 2) beta)) (/.f64 alpha (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 2)))))
2
(+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)))
(+.f64 2 (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 (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))
(+.f64 2 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) (+.f64 (/.f64 alpha (/.f64 (pow.f64 beta 2) (+.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2)))))
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(+.f64 (*.f64 -1 (/.f64 (+.f64 2 beta) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 4))) (+.f64 (/.f64 1 alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3)))))
(fma.f64 -1 (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 4)) (+.f64 (/.f64 1 alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3)))))
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(+.f64 2 alpha)
(+.f64 alpha 2)
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
beta
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
beta
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(+.f64 2 beta)
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
alpha
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
alpha
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
(+.f64 2 (+.f64 alpha beta))
(+.f64 alpha (+.f64 2 beta))
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(log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
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(log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) 1)
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(*.f64 1 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
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(log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
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(log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
(pow.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1)
(log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 3)
(log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
(pow.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 3) 1/3)
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(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 2)
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(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) 2))
(fabs.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) 1) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) -1) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) -1))
(pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 1)
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 3)
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
(pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 3) 1/3)
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 2)
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
(pow.f64 (exp.f64 1) (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
(pow.f64 (E.f64) (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 2)) (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(pow.f64 (E.f64) (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) (sqrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(pow.f64 (E.f64) (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 2))
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) 2))
(fabs.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
(log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))))
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(exp.f64 (*.f64 (log.f64 (+.f64 alpha (+.f64 beta 2))) 1))
(+.f64 alpha (+.f64 2 beta))
(log1p.f64 (expm1.f64 (+.f64 alpha (+.f64 beta 2))))
(+.f64 alpha (+.f64 2 beta))
(fma.f64 1 beta (+.f64 alpha 2))
(+.f64 beta (+.f64 alpha 2))
(fma.f64 1 alpha (+.f64 beta 2))
(+.f64 alpha (+.f64 2 beta))
(fma.f64 1 (+.f64 alpha 2) beta)
(+.f64 alpha (+.f64 2 beta))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2) (cbrt.f64 (+.f64 alpha 2)) beta)
(+.f64 alpha (+.f64 2 beta))
(fma.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 alpha) (+.f64 beta 2))
(+.f64 alpha (+.f64 2 beta))
(fma.f64 (pow.f64 (cbrt.f64 beta) 2) (cbrt.f64 beta) (+.f64 alpha 2))
(fma.f64 1 beta (+.f64 alpha 2))
(+.f64 beta (+.f64 alpha 2))
(fma.f64 (sqrt.f64 (+.f64 alpha 2)) (sqrt.f64 (+.f64 alpha 2)) beta)
(+.f64 alpha (+.f64 2 beta))
(fma.f64 (sqrt.f64 alpha) (sqrt.f64 alpha) (+.f64 beta 2))
(+.f64 alpha (+.f64 2 beta))
(fma.f64 (sqrt.f64 beta) (sqrt.f64 beta) (+.f64 alpha 2))
(fma.f64 1 beta (+.f64 alpha 2))
(+.f64 beta (+.f64 alpha 2))

eval494.0ms (4.2%)

Compiler

Compiled 22400 to 16689 computations (25.5% saved)

prune225.0ms (1.9%)

Pruning

16 alts after pruning (13 fresh and 3 done)

PrunedKeptTotal
New66911680
Fresh426
Picked325
Done011
Total67616692
Accuracy
100.0%
Counts
692 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
27.5%
(pow.f64 (cbrt.f64 (/.f64 1/2 (/.f64 alpha (fma.f64 beta 2 2)))) 3)
26.6%
(/.f64 (fma.f64 (-.f64 (-.f64 -2 beta) beta) (/.f64 -1 alpha) (-.f64 (/.f64 (*.f64 (-.f64 (-.f64 -2 beta) beta) (/.f64 -1 alpha)) (/.f64 (pow.f64 alpha 2) (*.f64 1/2 (+.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 (+.f64 2 beta) 2))))) (/.f64 (*.f64 (-.f64 (-.f64 -2 beta) beta) (/.f64 -1 alpha)) (/.f64 alpha (+.f64 2 beta))))) 2)
76.0%
(/.f64 (pow.f64 (E.f64) (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) 2)
26.7%
(/.f64 (-.f64 (*.f64 (-.f64 (-.f64 -2 beta) beta) (/.f64 -1 alpha)) (/.f64 (*.f64 (-.f64 (-.f64 -2 beta) beta) (/.f64 -1 alpha)) (/.f64 alpha (+.f64 2 beta)))) 2)
50.0%
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
76.5%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
73.9%
(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
44.8%
(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
32.4%
(/.f64 (+.f64 2 (neg.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta))) 2)
75.4%
(/.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 3)) 2)
25.2%
(/.f64 (exp.f64 (+.f64 (log.f64 (+.f64 beta (+.f64 2 beta))) (-.f64 (/.f64 (-.f64 -2 beta) alpha) (log.f64 alpha)))) 2)
50.0%
(/.f64 (exp.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) 2)
6.2%
(/.f64 beta alpha)
39.5%
(/.f64 2 2)
26.0%
(/.f64 1 alpha)
28.0%
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
27.5%
(pow.f64 (cbrt.f64 (/.f64 1/2 (/.f64 alpha (fma.f64 beta 2 2)))) 3)
26.6%
(/.f64 (fma.f64 (-.f64 (-.f64 -2 beta) beta) (/.f64 -1 alpha) (-.f64 (/.f64 (*.f64 (-.f64 (-.f64 -2 beta) beta) (/.f64 -1 alpha)) (/.f64 (pow.f64 alpha 2) (*.f64 1/2 (+.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 (+.f64 2 beta) 2))))) (/.f64 (*.f64 (-.f64 (-.f64 -2 beta) beta) (/.f64 -1 alpha)) (/.f64 alpha (+.f64 2 beta))))) 2)
76.0%
(/.f64 (pow.f64 (E.f64) (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) 2)
26.7%
(/.f64 (-.f64 (*.f64 (-.f64 (-.f64 -2 beta) beta) (/.f64 -1 alpha)) (/.f64 (*.f64 (-.f64 (-.f64 -2 beta) beta) (/.f64 -1 alpha)) (/.f64 alpha (+.f64 2 beta)))) 2)
50.0%
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
76.5%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
73.9%
(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
44.8%
(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
32.4%
(/.f64 (+.f64 2 (neg.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta))) 2)
75.4%
(/.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 3)) 2)
25.2%
(/.f64 (exp.f64 (+.f64 (log.f64 (+.f64 beta (+.f64 2 beta))) (-.f64 (/.f64 (-.f64 -2 beta) alpha) (log.f64 alpha)))) 2)
50.0%
(/.f64 (exp.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) 2)
6.2%
(/.f64 beta alpha)
39.5%
(/.f64 2 2)
26.0%
(/.f64 1 alpha)
28.0%
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
Compiler

Compiled 930 to 718 computations (22.8% saved)

localize430.0ms (3.7%)

Localize:

Found 12 expressions with local error:

NewAccuracyProgram
100.0%
(+.f64 beta (+.f64 2 beta))
100.0%
(-.f64 (/.f64 (-.f64 -2 beta) alpha) (log.f64 alpha))
99.9%
(+.f64 (log.f64 (+.f64 beta (+.f64 2 beta))) (-.f64 (/.f64 (-.f64 -2 beta) alpha) (log.f64 alpha)))
97.6%
(exp.f64 (+.f64 (log.f64 (+.f64 beta (+.f64 2 beta))) (-.f64 (/.f64 (-.f64 -2 beta) alpha) (log.f64 alpha))))
100.0%
(-.f64 (-.f64 -2 beta) beta)
99.9%
(*.f64 (-.f64 (-.f64 -2 beta) beta) (/.f64 -1 alpha))
99.9%
(/.f64 (*.f64 (-.f64 (-.f64 -2 beta) beta) (/.f64 -1 alpha)) (/.f64 alpha (+.f64 2 beta)))
89.8%
(-.f64 (*.f64 (-.f64 (-.f64 -2 beta) beta) (/.f64 -1 alpha)) (/.f64 (*.f64 (-.f64 (-.f64 -2 beta) beta) (/.f64 -1 alpha)) (/.f64 alpha (+.f64 2 beta))))
100.0%
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
97.2%
(pow.f64 (E.f64) (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
76.1%
(log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
72.0%
(E.f64)
Compiler

Compiled 272 to 171 computations (37.1% saved)

series57.0ms (0.5%)

Counts
12 → 240
Calls

60 calls:

TimeVariablePointExpression
8.0ms
alpha
@0
(+.f64 (log.f64 (+.f64 beta (+.f64 2 beta))) (-.f64 (/.f64 (-.f64 -2 beta) alpha) (log.f64 alpha)))
5.0ms
alpha
@inf
(+.f64 (log.f64 (+.f64 beta (+.f64 2 beta))) (-.f64 (/.f64 (-.f64 -2 beta) alpha) (log.f64 alpha)))
3.0ms
beta
@0
(pow.f64 (E.f64) (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
3.0ms
alpha
@0
(pow.f64 (E.f64) (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
3.0ms
alpha
@inf
(pow.f64 (E.f64) (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))

rewrite191.0ms (1.6%)

Algorithm
batch-egg-rewrite
Rules
296×log1p-expm1-u
296×expm1-log1p-u
294×times-frac
290×add-cube-cbrt
289×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032509
1602499
Stop Event
node limit
Counts
12 → 340
Calls
Call 1
Inputs
(E.f64)
(log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
(pow.f64 (E.f64) (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(-.f64 (*.f64 (-.f64 (-.f64 -2 beta) beta) (/.f64 -1 alpha)) (/.f64 (*.f64 (-.f64 (-.f64 -2 beta) beta) (/.f64 -1 alpha)) (/.f64 alpha (+.f64 2 beta))))
(/.f64 (*.f64 (-.f64 (-.f64 -2 beta) beta) (/.f64 -1 alpha)) (/.f64 alpha (+.f64 2 beta)))
(*.f64 (-.f64 (-.f64 -2 beta) beta) (/.f64 -1 alpha))
(-.f64 (-.f64 -2 beta) beta)
(exp.f64 (+.f64 (log.f64 (+.f64 beta (+.f64 2 beta))) (-.f64 (/.f64 (-.f64 -2 beta) alpha) (log.f64 alpha))))
(+.f64 (log.f64 (+.f64 beta (+.f64 2 beta))) (-.f64 (/.f64 (-.f64 -2 beta) alpha) (log.f64 alpha)))
(-.f64 (/.f64 (-.f64 -2 beta) alpha) (log.f64 alpha))
(+.f64 beta (+.f64 2 beta))
Outputs
(-.f64 (exp.f64 (log1p.f64 (E.f64))) 1)
(*.f64 1 (E.f64))
(*.f64 (cbrt.f64 (exp.f64 2)) (cbrt.f64 (E.f64)))
(*.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64)))
(pow.f64 (E.f64) 1)
(pow.f64 (cbrt.f64 (E.f64)) 3)
(pow.f64 (pow.f64 (E.f64) 3) 1/3)
(pow.f64 (sqrt.f64 (E.f64)) 2)
(sqrt.f64 (exp.f64 2))
(log.f64 (exp.f64 (E.f64)))
(log.f64 (+.f64 1 (expm1.f64 (E.f64))))
(cbrt.f64 (pow.f64 (E.f64) 3))
(expm1.f64 (log1p.f64 (E.f64)))
(exp.f64 1)
(log1p.f64 (expm1.f64 (E.f64)))
(+.f64 (/.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 2) (/.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 2))
(+.f64 0 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 2)) (log.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) 1)
(*.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1)
(*.f64 1 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 2) (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) (sqrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(pow.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 3)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 2))
(log.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(exp.f64 (log.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 1))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) 1)
(*.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 2) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(*.f64 (pow.f64 1 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 2)) (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) (pow.f64 (cbrt.f64 (E.f64)) (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(*.f64 (pow.f64 (sqrt.f64 (E.f64)) (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) (pow.f64 (sqrt.f64 (E.f64)) (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 2))
(log.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(-.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1)
(-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))
(*.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
(*.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 2) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) 1) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) 1) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 2)
(pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)) -1)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 beta alpha) 3) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
(exp.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
(+.f64 (*.f64 (-.f64 -2 (+.f64 beta beta)) (/.f64 -1 alpha)) (neg.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) (/.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 -1 alpha)))))
(+.f64 (-.f64 (*.f64 (-.f64 -2 (+.f64 beta beta)) (/.f64 -1 alpha)) (/.f64 (-.f64 -2 (+.f64 beta beta)) (/.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 -1 alpha)))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) (/.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 -1 alpha))))) (sqrt.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) (/.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 -1 alpha)))) (/.f64 (-.f64 -2 (+.f64 beta beta)) (/.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 -1 alpha)))))
(+.f64 (fma.f64 (-.f64 -2 (+.f64 beta beta)) (/.f64 -1 alpha) (neg.f64 (*.f64 (/.f64 1 (/.f64 alpha (+.f64 beta 2))) (*.f64 (-.f64 -2 (+.f64 beta beta)) (/.f64 -1 alpha))))) (fma.f64 (neg.f64 (/.f64 1 (/.f64 alpha (+.f64 beta 2)))) (*.f64 (-.f64 -2 (+.f64 beta beta)) (/.f64 -1 alpha)) (*.f64 (/.f64 1 (/.f64 alpha (+.f64 beta 2))) (*.f64 (-.f64 -2 (+.f64 beta beta)) (/.f64 -1 alpha)))))
(+.f64 (fma.f64 (-.f64 -2 (+.f64 beta beta)) (/.f64 -1 alpha) (neg.f64 (*.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) (/.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 -1 alpha))) 1))) (fma.f64 (neg.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) (/.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 -1 alpha)))) 1 (*.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) (/.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 -1 alpha))) 1)))
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(*.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 (+.f64 beta (+.f64 beta 2))) (-.f64 (/.f64 (-.f64 -2 beta) alpha) (log.f64 alpha)))) 2) (cbrt.f64 (+.f64 (log.f64 (+.f64 beta (+.f64 beta 2))) (-.f64 (/.f64 (-.f64 -2 beta) alpha) (log.f64 alpha)))))
(*.f64 (sqrt.f64 (+.f64 (log.f64 (+.f64 beta (+.f64 beta 2))) (-.f64 (/.f64 (-.f64 -2 beta) alpha) (log.f64 alpha)))) (sqrt.f64 (+.f64 (log.f64 (+.f64 beta (+.f64 beta 2))) (-.f64 (/.f64 (-.f64 -2 beta) alpha) (log.f64 alpha)))))
(/.f64 (+.f64 (pow.f64 (log.f64 (+.f64 beta (+.f64 beta 2))) 3) (pow.f64 (-.f64 (/.f64 (-.f64 -2 beta) alpha) (log.f64 alpha)) 3)) (+.f64 (pow.f64 (log.f64 (+.f64 beta (+.f64 beta 2))) 2) (-.f64 (pow.f64 (-.f64 (/.f64 (-.f64 -2 beta) alpha) (log.f64 alpha)) 2) (*.f64 (log.f64 (+.f64 beta (+.f64 beta 2))) (-.f64 (/.f64 (-.f64 -2 beta) alpha) (log.f64 alpha))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 beta (+.f64 beta 2))) 2) (pow.f64 (-.f64 (/.f64 (-.f64 -2 beta) alpha) (log.f64 alpha)) 2)) (-.f64 (log.f64 (+.f64 beta (+.f64 beta 2))) (-.f64 (/.f64 (-.f64 -2 beta) alpha) (log.f64 alpha))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 (+.f64 beta (+.f64 beta 2))) 3) (pow.f64 (-.f64 (/.f64 (-.f64 -2 beta) alpha) (log.f64 alpha)) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 (+.f64 beta (+.f64 beta 2))) 2) (-.f64 (pow.f64 (-.f64 (/.f64 (-.f64 -2 beta) alpha) (log.f64 alpha)) 2) (*.f64 (log.f64 (+.f64 beta (+.f64 beta 2))) (-.f64 (/.f64 (-.f64 -2 beta) alpha) (log.f64 alpha)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (+.f64 beta (+.f64 beta 2))) 2) (pow.f64 (-.f64 (/.f64 (-.f64 -2 beta) alpha) (log.f64 alpha)) 2))) (neg.f64 (-.f64 (log.f64 (+.f64 beta (+.f64 beta 2))) (-.f64 (/.f64 (-.f64 -2 beta) alpha) (log.f64 alpha)))))
(/.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (-.f64 -2 beta) alpha) (log.f64 alpha)) 3) (pow.f64 (log.f64 (+.f64 beta (+.f64 beta 2))) 3)) (+.f64 (pow.f64 (-.f64 (/.f64 (-.f64 -2 beta) alpha) (log.f64 alpha)) 2) (-.f64 (pow.f64 (log.f64 (+.f64 beta (+.f64 beta 2))) 2) (*.f64 (-.f64 (/.f64 (-.f64 -2 beta) alpha) (log.f64 alpha)) (log.f64 (+.f64 beta (+.f64 beta 2)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (log.f64 (+.f64 beta (+.f64 beta 2))) (/.f64 (-.f64 -2 beta) alpha)) 3) (pow.f64 (log.f64 alpha) 3)) (+.f64 (*.f64 (+.f64 (log.f64 (+.f64 beta (+.f64 beta 2))) (/.f64 (-.f64 -2 beta) alpha)) (+.f64 (log.f64 (+.f64 beta (+.f64 beta 2))) (/.f64 (-.f64 -2 beta) alpha))) (+.f64 (pow.f64 (log.f64 alpha) 2) (*.f64 (+.f64 (log.f64 (+.f64 beta (+.f64 beta 2))) (/.f64 (-.f64 -2 beta) alpha)) (log.f64 alpha)))))
(pow.f64 (+.f64 (log.f64 (+.f64 beta (+.f64 beta 2))) (-.f64 (/.f64 (-.f64 -2 beta) alpha) (log.f64 alpha))) 1)
(pow.f64 (cbrt.f64 (+.f64 (log.f64 (+.f64 beta (+.f64 beta 2))) (-.f64 (/.f64 (-.f64 -2 beta) alpha) (log.f64 alpha)))) 3)
(pow.f64 (pow.f64 (+.f64 (log.f64 (+.f64 beta (+.f64 beta 2))) (-.f64 (/.f64 (-.f64 -2 beta) alpha) (log.f64 alpha))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (log.f64 (+.f64 beta (+.f64 beta 2))) (-.f64 (/.f64 (-.f64 -2 beta) alpha) (log.f64 alpha)))) 2)
(sqrt.f64 (pow.f64 (+.f64 (log.f64 (+.f64 beta (+.f64 beta 2))) (-.f64 (/.f64 (-.f64 -2 beta) alpha) (log.f64 alpha))) 2))
(log.f64 (*.f64 (+.f64 beta (+.f64 beta 2)) (/.f64 (exp.f64 (/.f64 (-.f64 -2 beta) alpha)) alpha)))
(log.f64 (+.f64 1 (-.f64 (*.f64 (+.f64 beta (+.f64 beta 2)) (/.f64 (exp.f64 (/.f64 (-.f64 -2 beta) alpha)) alpha)) 1)))
(cbrt.f64 (pow.f64 (+.f64 (log.f64 (+.f64 beta (+.f64 beta 2))) (-.f64 (/.f64 (-.f64 -2 beta) alpha) (log.f64 alpha))) 3))
(expm1.f64 (log1p.f64 (+.f64 (log.f64 (+.f64 beta (+.f64 beta 2))) (-.f64 (/.f64 (-.f64 -2 beta) alpha) (log.f64 alpha)))))
(exp.f64 (log.f64 (+.f64 (log.f64 (+.f64 beta (+.f64 beta 2))) (-.f64 (/.f64 (-.f64 -2 beta) alpha) (log.f64 alpha)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (log.f64 (+.f64 beta (+.f64 beta 2))) (-.f64 (/.f64 (-.f64 -2 beta) alpha) (log.f64 alpha)))) 1))
(log1p.f64 (-.f64 (*.f64 (+.f64 beta (+.f64 beta 2)) (/.f64 (exp.f64 (/.f64 (-.f64 -2 beta) alpha)) alpha)) 1))
(fma.f64 1 (log.f64 (+.f64 beta (+.f64 beta 2))) (-.f64 (/.f64 (-.f64 -2 beta) alpha) (log.f64 alpha)))
(fma.f64 1 (-.f64 (/.f64 (-.f64 -2 beta) alpha) (log.f64 alpha)) (log.f64 (+.f64 beta (+.f64 beta 2))))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 beta (+.f64 beta 2)))) 2) (cbrt.f64 (log.f64 (+.f64 beta (+.f64 beta 2)))) (-.f64 (/.f64 (-.f64 -2 beta) alpha) (log.f64 alpha)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 (-.f64 -2 beta) alpha) (log.f64 alpha))) 2) (cbrt.f64 (-.f64 (/.f64 (-.f64 -2 beta) alpha) (log.f64 alpha))) (log.f64 (+.f64 beta (+.f64 beta 2))))
(fma.f64 (sqrt.f64 (log.f64 (+.f64 beta (+.f64 beta 2)))) (sqrt.f64 (log.f64 (+.f64 beta (+.f64 beta 2)))) (-.f64 (/.f64 (-.f64 -2 beta) alpha) (log.f64 alpha)))
(fma.f64 (sqrt.f64 (-.f64 (/.f64 (-.f64 -2 beta) alpha) (log.f64 alpha))) (sqrt.f64 (-.f64 (/.f64 (-.f64 -2 beta) alpha) (log.f64 alpha))) (log.f64 (+.f64 beta (+.f64 beta 2))))
(+.f64 (/.f64 (-.f64 -2 beta) alpha) (neg.f64 (log.f64 alpha)))
(+.f64 (-.f64 (/.f64 (-.f64 -2 beta) alpha) (log.f64 alpha)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 alpha))) (sqrt.f64 (log.f64 alpha)) (log.f64 alpha)))
(+.f64 (fma.f64 (-.f64 -2 beta) (/.f64 1 alpha) (neg.f64 (*.f64 (log.f64 alpha) 1))) (fma.f64 (neg.f64 (log.f64 alpha)) 1 (*.f64 (log.f64 alpha) 1)))
(+.f64 (fma.f64 (-.f64 -2 beta) (/.f64 1 alpha) (neg.f64 (*.f64 (cbrt.f64 (log.f64 alpha)) (pow.f64 (cbrt.f64 (log.f64 alpha)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 alpha))) (pow.f64 (cbrt.f64 (log.f64 alpha)) 2) (*.f64 (cbrt.f64 (log.f64 alpha)) (pow.f64 (cbrt.f64 (log.f64 alpha)) 2))))
(+.f64 (fma.f64 1 (/.f64 (-.f64 -2 beta) alpha) (neg.f64 (*.f64 (log.f64 alpha) 1))) (fma.f64 (neg.f64 (log.f64 alpha)) 1 (*.f64 (log.f64 alpha) 1)))
(+.f64 (fma.f64 1 (/.f64 (-.f64 -2 beta) alpha) (neg.f64 (*.f64 (cbrt.f64 (log.f64 alpha)) (pow.f64 (cbrt.f64 (log.f64 alpha)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 alpha))) (pow.f64 (cbrt.f64 (log.f64 alpha)) 2) (*.f64 (cbrt.f64 (log.f64 alpha)) (pow.f64 (cbrt.f64 (log.f64 alpha)) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -2 beta) alpha)) 2) (cbrt.f64 (/.f64 (-.f64 -2 beta) alpha)) (neg.f64 (*.f64 (log.f64 alpha) 1))) (fma.f64 (neg.f64 (log.f64 alpha)) 1 (*.f64 (log.f64 alpha) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -2 beta) alpha)) 2) (cbrt.f64 (/.f64 (-.f64 -2 beta) alpha)) (neg.f64 (*.f64 (cbrt.f64 (log.f64 alpha)) (pow.f64 (cbrt.f64 (log.f64 alpha)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 alpha))) (pow.f64 (cbrt.f64 (log.f64 alpha)) 2) (*.f64 (cbrt.f64 (log.f64 alpha)) (pow.f64 (cbrt.f64 (log.f64 alpha)) 2))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 (-.f64 -2 beta) alpha)) (sqrt.f64 (/.f64 (-.f64 -2 beta) alpha)) (neg.f64 (*.f64 (log.f64 alpha) 1))) (fma.f64 (neg.f64 (log.f64 alpha)) 1 (*.f64 (log.f64 alpha) 1)))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 (-.f64 -2 beta) alpha)) (sqrt.f64 (/.f64 (-.f64 -2 beta) alpha)) (neg.f64 (*.f64 (cbrt.f64 (log.f64 alpha)) (pow.f64 (cbrt.f64 (log.f64 alpha)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 alpha))) (pow.f64 (cbrt.f64 (log.f64 alpha)) 2) (*.f64 (cbrt.f64 (log.f64 alpha)) (pow.f64 (cbrt.f64 (log.f64 alpha)) 2))))
(*.f64 1 (-.f64 (/.f64 (-.f64 -2 beta) alpha) (log.f64 alpha)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 (-.f64 -2 beta) alpha) (log.f64 alpha))) 2) (cbrt.f64 (-.f64 (/.f64 (-.f64 -2 beta) alpha) (log.f64 alpha))))
(*.f64 (sqrt.f64 (-.f64 (/.f64 (-.f64 -2 beta) alpha) (log.f64 alpha))) (sqrt.f64 (-.f64 (/.f64 (-.f64 -2 beta) alpha) (log.f64 alpha))))
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 3) (pow.f64 (log.f64 alpha) 3)) (+.f64 (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 2) (+.f64 (pow.f64 (log.f64 alpha) 2) (*.f64 (/.f64 (-.f64 -2 beta) alpha) (log.f64 alpha)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 2) (pow.f64 (log.f64 alpha) 2)) (+.f64 (/.f64 (-.f64 -2 beta) alpha) (log.f64 alpha)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 3) (pow.f64 (log.f64 alpha) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 2) (+.f64 (pow.f64 (log.f64 alpha) 2) (*.f64 (/.f64 (-.f64 -2 beta) alpha) (log.f64 alpha))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 2) (pow.f64 (log.f64 alpha) 2))) (neg.f64 (+.f64 (/.f64 (-.f64 -2 beta) alpha) (log.f64 alpha))))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 3) (pow.f64 (neg.f64 (log.f64 alpha)) 3)) (+.f64 (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 2) (-.f64 (*.f64 (neg.f64 (log.f64 alpha)) (neg.f64 (log.f64 alpha))) (*.f64 (/.f64 (-.f64 -2 beta) alpha) (neg.f64 (log.f64 alpha))))))
(pow.f64 (-.f64 (/.f64 (-.f64 -2 beta) alpha) (log.f64 alpha)) 1)
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (-.f64 -2 beta) alpha) (log.f64 alpha))) 3)
(pow.f64 (pow.f64 (-.f64 (/.f64 (-.f64 -2 beta) alpha) (log.f64 alpha)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (/.f64 (-.f64 -2 beta) alpha) (log.f64 alpha))) 2)
(sqrt.f64 (pow.f64 (-.f64 (/.f64 (-.f64 -2 beta) alpha) (log.f64 alpha)) 2))
(log.f64 (/.f64 (exp.f64 (/.f64 (-.f64 -2 beta) alpha)) alpha))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 (-.f64 -2 beta) alpha) (log.f64 alpha)))))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 (-.f64 -2 beta) alpha) (log.f64 alpha)) 3))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 (-.f64 -2 beta) alpha) (log.f64 alpha))))
(exp.f64 (log.f64 (-.f64 (/.f64 (-.f64 -2 beta) alpha) (log.f64 alpha))))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 (-.f64 -2 beta) alpha) (log.f64 alpha))) 1))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (-.f64 -2 beta) alpha) (log.f64 alpha))))
(fma.f64 (-.f64 -2 beta) (/.f64 1 alpha) (neg.f64 (log.f64 alpha)))
(fma.f64 1 (/.f64 (-.f64 -2 beta) alpha) (neg.f64 (log.f64 alpha)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -2 beta) alpha)) 2) (cbrt.f64 (/.f64 (-.f64 -2 beta) alpha)) (neg.f64 (log.f64 alpha)))
(fma.f64 (sqrt.f64 (/.f64 (-.f64 -2 beta) alpha)) (sqrt.f64 (/.f64 (-.f64 -2 beta) alpha)) (neg.f64 (log.f64 alpha)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 beta (+.f64 beta 2)))) 1)
(-.f64 (/.f64 (pow.f64 beta 2) (-.f64 beta (+.f64 beta 2))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 beta (+.f64 beta 2))))
(*.f64 1 (+.f64 beta (+.f64 beta 2)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta 2))) 2) (cbrt.f64 (+.f64 beta (+.f64 beta 2))))
(*.f64 (sqrt.f64 (+.f64 beta (+.f64 beta 2))) (sqrt.f64 (+.f64 beta (+.f64 beta 2))))
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)) (fma.f64 beta beta (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2)))))
(/.f64 (-.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) (-.f64 beta (+.f64 beta 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (neg.f64 (fma.f64 beta beta (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2))) (neg.f64 (-.f64 beta (+.f64 beta 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 beta 3)) (+.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 (pow.f64 beta 2) (*.f64 (+.f64 beta 2) beta))))
(pow.f64 (E.f64) (log.f64 (+.f64 beta (+.f64 beta 2))))
(pow.f64 (+.f64 beta (+.f64 beta 2)) 1)
(pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta 2))) 3)
(pow.f64 (pow.f64 (+.f64 beta (+.f64 beta 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 beta (+.f64 beta 2))) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 beta (+.f64 beta 2)))) 2)) (cbrt.f64 (log.f64 (+.f64 beta (+.f64 beta 2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 beta (+.f64 beta 2))))) (sqrt.f64 (log.f64 (+.f64 beta (+.f64 beta 2)))))
(sqrt.f64 (pow.f64 (+.f64 beta (+.f64 beta 2)) 2))
(log.f64 (exp.f64 (+.f64 beta (+.f64 beta 2))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 beta (+.f64 beta 2)))))
(cbrt.f64 (pow.f64 (+.f64 beta (+.f64 beta 2)) 3))
(expm1.f64 (log1p.f64 (+.f64 beta (+.f64 beta 2))))
(exp.f64 (log.f64 (+.f64 beta (+.f64 beta 2))))
(exp.f64 (*.f64 (log.f64 (+.f64 beta (+.f64 beta 2))) 1))
(log1p.f64 (expm1.f64 (+.f64 beta (+.f64 beta 2))))
(fma.f64 1 beta (+.f64 beta 2))
(fma.f64 1 (+.f64 beta 2) beta)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (cbrt.f64 (+.f64 beta 2)) beta)
(fma.f64 (pow.f64 (cbrt.f64 beta) 2) (cbrt.f64 beta) (+.f64 beta 2))
(fma.f64 (sqrt.f64 (+.f64 beta 2)) (sqrt.f64 (+.f64 beta 2)) beta)
(fma.f64 (sqrt.f64 beta) (sqrt.f64 beta) (+.f64 beta 2))

simplify400.0ms (3.4%)

Algorithm
egg-herbie
Rules
1444×times-frac
592×*-commutative
532×+-commutative
480×sub-neg
428×div-sub
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0140246426
1459943513
Stop Event
node limit
Counts
580 → 774
Calls
Call 1
Inputs
(log.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))))
(+.f64 (log.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))))) (*.f64 beta (-.f64 (/.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 2 alpha))) (*.f64 -1 (/.f64 alpha (*.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2)))))))
(+.f64 (log.f64 (+.f64 1 (*.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 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 2) (pow.f64 (+.f64 1 (*.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 -1 (/.f64 alpha (+.f64 2 alpha))))))))) (*.f64 beta (-.f64 (/.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 2 alpha))) (*.f64 -1 (/.f64 alpha (*.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2))))))))
(+.f64 (log.f64 (+.f64 1 (*.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 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 3) (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) 3))) (*.f64 6 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)))) (+.f64 1 (*.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 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 2) (pow.f64 (+.f64 1 (*.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 -1 (/.f64 alpha (+.f64 2 alpha))))))))) (*.f64 beta (-.f64 (/.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 2 alpha))) (*.f64 -1 (/.f64 alpha (*.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 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 (*.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 (*.f64 1/6 (/.f64 (+.f64 (*.f64 1/4 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 3)) (+.f64 (*.f64 3/2 (*.f64 (+.f64 2 alpha) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2))) (*.f64 3 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))))) (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)))))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)))
(+.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))))
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1
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(fma.f64 (sqrt.f64 (/.f64 (-.f64 -2 beta) alpha)) (sqrt.f64 (/.f64 (-.f64 -2 beta) alpha)) (neg.f64 (log.f64 alpha)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 beta (+.f64 beta 2)))) 1)
(-.f64 (/.f64 (pow.f64 beta 2) (-.f64 beta (+.f64 beta 2))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 beta (+.f64 beta 2))))
(*.f64 1 (+.f64 beta (+.f64 beta 2)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta 2))) 2) (cbrt.f64 (+.f64 beta (+.f64 beta 2))))
(*.f64 (sqrt.f64 (+.f64 beta (+.f64 beta 2))) (sqrt.f64 (+.f64 beta (+.f64 beta 2))))
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)) (fma.f64 beta beta (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2)))))
(/.f64 (-.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) (-.f64 beta (+.f64 beta 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (neg.f64 (fma.f64 beta beta (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2))) (neg.f64 (-.f64 beta (+.f64 beta 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 beta 3)) (+.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 (pow.f64 beta 2) (*.f64 (+.f64 beta 2) beta))))
(pow.f64 (E.f64) (log.f64 (+.f64 beta (+.f64 beta 2))))
(pow.f64 (+.f64 beta (+.f64 beta 2)) 1)
(pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta 2))) 3)
(pow.f64 (pow.f64 (+.f64 beta (+.f64 beta 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 beta (+.f64 beta 2))) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 beta (+.f64 beta 2)))) 2)) (cbrt.f64 (log.f64 (+.f64 beta (+.f64 beta 2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 beta (+.f64 beta 2))))) (sqrt.f64 (log.f64 (+.f64 beta (+.f64 beta 2)))))
(sqrt.f64 (pow.f64 (+.f64 beta (+.f64 beta 2)) 2))
(log.f64 (exp.f64 (+.f64 beta (+.f64 beta 2))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 beta (+.f64 beta 2)))))
(cbrt.f64 (pow.f64 (+.f64 beta (+.f64 beta 2)) 3))
(expm1.f64 (log1p.f64 (+.f64 beta (+.f64 beta 2))))
(exp.f64 (log.f64 (+.f64 beta (+.f64 beta 2))))
(exp.f64 (*.f64 (log.f64 (+.f64 beta (+.f64 beta 2))) 1))
(log1p.f64 (expm1.f64 (+.f64 beta (+.f64 beta 2))))
(fma.f64 1 beta (+.f64 beta 2))
(fma.f64 1 (+.f64 beta 2) beta)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (cbrt.f64 (+.f64 beta 2)) beta)
(fma.f64 (pow.f64 (cbrt.f64 beta) 2) (cbrt.f64 beta) (+.f64 beta 2))
(fma.f64 (sqrt.f64 (+.f64 beta 2)) (sqrt.f64 (+.f64 beta 2)) beta)
(fma.f64 (sqrt.f64 beta) (sqrt.f64 beta) (+.f64 beta 2))
Outputs
(log.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))))
(log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))
(+.f64 (log.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))))) (*.f64 beta (-.f64 (/.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 2 alpha))) (*.f64 -1 (/.f64 alpha (*.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2)))))))
(+.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) (*.f64 beta (-.f64 (/.f64 1 (*.f64 (+.f64 alpha 2) (+.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))) (/.f64 (neg.f64 alpha) (*.f64 (+.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) (pow.f64 (+.f64 alpha 2) 2))))))
(+.f64 (log1p.f64 (/.f64 (neg.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 (log.f64 (+.f64 1 (*.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 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 2) (pow.f64 (+.f64 1 (*.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 -1 (/.f64 alpha (+.f64 2 alpha))))))))) (*.f64 beta (-.f64 (/.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 2 alpha))) (*.f64 -1 (/.f64 alpha (*.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2))))))))
(+.f64 (log1p.f64 (/.f64 (neg.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 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) 2) (pow.f64 (+.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) 2)) (/.f64 (*.f64 2 (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)))) (+.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))))) (*.f64 beta (-.f64 (/.f64 1 (*.f64 (+.f64 alpha 2) (+.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))) (/.f64 (neg.f64 alpha) (*.f64 (+.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) (pow.f64 (+.f64 alpha 2) 2)))))))
(+.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) (fma.f64 1/2 (*.f64 (pow.f64 beta 2) (-.f64 (/.f64 (*.f64 2 (-.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 (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 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 (log.f64 (+.f64 1 (*.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 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 3) (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) 3))) (*.f64 6 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)))) (+.f64 1 (*.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 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 2) (pow.f64 (+.f64 1 (*.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 -1 (/.f64 alpha (+.f64 2 alpha))))))))) (*.f64 beta (-.f64 (/.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 2 alpha))) (*.f64 -1 (/.f64 alpha (*.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2)))))))))
(+.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) (fma.f64 1/6 (*.f64 (pow.f64 beta 3) (fma.f64 -6 (/.f64 (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (pow.f64 (+.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) 2) (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))))) (fma.f64 2 (/.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) 3) (pow.f64 (+.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) 3)) (*.f64 6 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 4))) (+.f64 1 (/.f64 (neg.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 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) 2) (pow.f64 (+.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) 2)) (/.f64 (*.f64 2 (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)))) (+.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))))) (*.f64 beta (-.f64 (/.f64 1 (*.f64 (+.f64 alpha 2) (+.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))) (/.f64 (neg.f64 alpha) (*.f64 (+.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) (pow.f64 (+.f64 alpha 2) 2))))))))
(+.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) (fma.f64 1/6 (*.f64 (pow.f64 beta 3) (fma.f64 -6 (/.f64 (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.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) (-.f64 (/.f64 (*.f64 2 (-.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 (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 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))))))))
(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)))
(+.f64 (log.f64 2) (*.f64 1/2 (/.f64 (-.f64 (fma.f64 -1 alpha -2) alpha) beta)))
(+.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))))
(+.f64 (log.f64 2) (*.f64 1/2 (+.f64 (/.f64 (-.f64 (*.f64 -1/4 (pow.f64 (-.f64 (fma.f64 -1 alpha -2) alpha) 2)) (*.f64 (+.f64 alpha 2) (-.f64 (fma.f64 -1 alpha -2) alpha))) (pow.f64 beta 2)) (/.f64 (-.f64 (fma.f64 -1 alpha -2) alpha) beta))))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 1/4 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 3)) (+.f64 (*.f64 3/2 (*.f64 (+.f64 2 alpha) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2))) (*.f64 3 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))))) (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 1/4 (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 3) (fma.f64 3/2 (*.f64 (+.f64 alpha 2) (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2)) (*.f64 (*.f64 3 (pow.f64 (+.f64 alpha 2) 2)) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))))) (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 1/6 (/.f64 (fma.f64 1/4 (pow.f64 (-.f64 (fma.f64 -1 alpha -2) alpha) 3) (fma.f64 3/2 (*.f64 (+.f64 alpha 2) (pow.f64 (-.f64 (fma.f64 -1 alpha -2) alpha) 2)) (*.f64 (*.f64 3 (pow.f64 (+.f64 alpha 2) 2)) (-.f64 (fma.f64 -1 alpha -2) alpha)))) (pow.f64 beta 3)) (*.f64 1/2 (+.f64 (/.f64 (-.f64 (*.f64 -1/4 (pow.f64 (-.f64 (fma.f64 -1 alpha -2) alpha) 2)) (*.f64 (+.f64 alpha 2) (-.f64 (fma.f64 -1 alpha -2) alpha))) (pow.f64 beta 2)) (/.f64 (-.f64 (fma.f64 -1 alpha -2) alpha) beta)))))
(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)))
(+.f64 (log.f64 2) (*.f64 1/2 (/.f64 (-.f64 (fma.f64 -1 alpha -2) alpha) beta)))
(+.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))))
(+.f64 (log.f64 2) (*.f64 1/2 (+.f64 (/.f64 (-.f64 (*.f64 -1/4 (pow.f64 (-.f64 (fma.f64 -1 alpha -2) alpha) 2)) (*.f64 (+.f64 alpha 2) (-.f64 (fma.f64 -1 alpha -2) alpha))) (pow.f64 beta 2)) (/.f64 (-.f64 (fma.f64 -1 alpha -2) alpha) beta))))
(+.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 -1/6 (/.f64 (fma.f64 -3 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (-.f64 (fma.f64 -1 alpha -2) alpha)) (fma.f64 -3/2 (*.f64 (+.f64 alpha 2) (pow.f64 (-.f64 (fma.f64 -1 alpha -2) alpha) 2)) (*.f64 -1/4 (pow.f64 (-.f64 (fma.f64 -1 alpha -2) alpha) 3)))) (pow.f64 beta 3)) (*.f64 1/2 (+.f64 (/.f64 (-.f64 (*.f64 -1/4 (pow.f64 (-.f64 (fma.f64 -1 alpha -2) alpha) 2)) (*.f64 (+.f64 alpha 2) (-.f64 (fma.f64 -1 alpha -2) alpha))) (pow.f64 beta 2)) (/.f64 (-.f64 (fma.f64 -1 alpha -2) alpha) beta)))))
(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 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (+.f64 2 beta)))) (+.f64 1 (/.f64 beta (+.f64 2 beta)))))
(-.f64 (log1p.f64 (/.f64 beta (+.f64 2 beta))) (/.f64 alpha (/.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (+.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 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 2 beta)))))))))
(+.f64 (log1p.f64 (/.f64 beta (+.f64 2 beta))) (fma.f64 -1 (/.f64 alpha (/.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (+.f64 2 beta))))) (*.f64 (*.f64 1/2 (pow.f64 alpha 2)) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (+.f64 2 beta))) 2) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2)) (*.f64 2 (/.f64 (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (+.f64 2 beta))) (+.f64 1 (/.f64 beta (+.f64 2 beta)))) (+.f64 2 beta)))))))
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(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
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2
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(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 3) (pow.f64 (log.f64 alpha) 3)) (+.f64 (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 2) (*.f64 (neg.f64 (log.f64 alpha)) (fma.f64 -1 (log.f64 alpha) (/.f64 (+.f64 2 beta) alpha)))))
(pow.f64 (-.f64 (/.f64 (-.f64 -2 beta) alpha) (log.f64 alpha)) 1)
(-.f64 (/.f64 (-.f64 -2 beta) alpha) (log.f64 alpha))
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (-.f64 -2 beta) alpha) (log.f64 alpha))) 3)
(-.f64 (/.f64 (-.f64 -2 beta) alpha) (log.f64 alpha))
(pow.f64 (pow.f64 (-.f64 (/.f64 (-.f64 -2 beta) alpha) (log.f64 alpha)) 3) 1/3)
(-.f64 (/.f64 (-.f64 -2 beta) alpha) (log.f64 alpha))
(pow.f64 (sqrt.f64 (-.f64 (/.f64 (-.f64 -2 beta) alpha) (log.f64 alpha))) 2)
(-.f64 (/.f64 (-.f64 -2 beta) alpha) (log.f64 alpha))
(sqrt.f64 (pow.f64 (-.f64 (/.f64 (-.f64 -2 beta) alpha) (log.f64 alpha)) 2))
(fabs.f64 (-.f64 (/.f64 (-.f64 -2 beta) alpha) (log.f64 alpha)))
(log.f64 (/.f64 (exp.f64 (/.f64 (-.f64 -2 beta) alpha)) alpha))
(-.f64 (/.f64 (-.f64 -2 beta) alpha) (log.f64 alpha))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 (-.f64 -2 beta) alpha) (log.f64 alpha)))))
(-.f64 (/.f64 (-.f64 -2 beta) alpha) (log.f64 alpha))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 (-.f64 -2 beta) alpha) (log.f64 alpha)) 3))
(-.f64 (/.f64 (-.f64 -2 beta) alpha) (log.f64 alpha))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 (-.f64 -2 beta) alpha) (log.f64 alpha))))
(-.f64 (/.f64 (-.f64 -2 beta) alpha) (log.f64 alpha))
(exp.f64 (log.f64 (-.f64 (/.f64 (-.f64 -2 beta) alpha) (log.f64 alpha))))
(-.f64 (/.f64 (-.f64 -2 beta) alpha) (log.f64 alpha))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 (-.f64 -2 beta) alpha) (log.f64 alpha))) 1))
(-.f64 (/.f64 (-.f64 -2 beta) alpha) (log.f64 alpha))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (-.f64 -2 beta) alpha) (log.f64 alpha))))
(-.f64 (/.f64 (-.f64 -2 beta) alpha) (log.f64 alpha))
(fma.f64 (-.f64 -2 beta) (/.f64 1 alpha) (neg.f64 (log.f64 alpha)))
(-.f64 (*.f64 (-.f64 -2 beta) (/.f64 1 alpha)) (log.f64 alpha))
(fma.f64 1 (/.f64 (-.f64 -2 beta) alpha) (neg.f64 (log.f64 alpha)))
(-.f64 (/.f64 (-.f64 -2 beta) alpha) (log.f64 alpha))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -2 beta) alpha)) 2) (cbrt.f64 (/.f64 (-.f64 -2 beta) alpha)) (neg.f64 (log.f64 alpha)))
(-.f64 (/.f64 (-.f64 -2 beta) alpha) (log.f64 alpha))
(fma.f64 (sqrt.f64 (/.f64 (-.f64 -2 beta) alpha)) (sqrt.f64 (/.f64 (-.f64 -2 beta) alpha)) (neg.f64 (log.f64 alpha)))
(-.f64 (/.f64 (-.f64 -2 beta) alpha) (log.f64 alpha))
(-.f64 (exp.f64 (log1p.f64 (+.f64 beta (+.f64 beta 2)))) 1)
(+.f64 2 (*.f64 2 beta))
(-.f64 (/.f64 (pow.f64 beta 2) (-.f64 beta (+.f64 beta 2))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 beta (+.f64 beta 2))))
(/.f64 (-.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 beta) 2)) (+.f64 beta (-.f64 -2 beta)))
(/.f64 (-.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 beta) 2)) -2)
(*.f64 1 (+.f64 beta (+.f64 beta 2)))
(+.f64 2 (*.f64 2 beta))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta 2))) 2) (cbrt.f64 (+.f64 beta (+.f64 beta 2))))
(+.f64 2 (*.f64 2 beta))
(*.f64 (sqrt.f64 (+.f64 beta (+.f64 beta 2))) (sqrt.f64 (+.f64 beta (+.f64 beta 2))))
(+.f64 2 (*.f64 2 beta))
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)) (fma.f64 beta beta (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2)))))
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 beta) 3)) (fma.f64 beta beta (-.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta)))))
(/.f64 (-.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) (-.f64 beta (+.f64 beta 2)))
(/.f64 (-.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 beta) 2)) (+.f64 beta (-.f64 -2 beta)))
(/.f64 (-.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 beta) 2)) -2)
(/.f64 (neg.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (neg.f64 (fma.f64 beta beta (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 beta) 3))) (neg.f64 (fma.f64 beta beta (-.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))))))
(/.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3)) (neg.f64 (fma.f64 beta beta (-.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2))) (neg.f64 (-.f64 beta (+.f64 beta 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 beta) 2))) (neg.f64 (+.f64 beta (-.f64 -2 beta))))
(/.f64 (neg.f64 (-.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 beta) 2))) 2)
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 beta 3)) (+.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 (pow.f64 beta 2) (*.f64 (+.f64 beta 2) beta))))
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 beta) 3)) (+.f64 (pow.f64 (+.f64 2 beta) 2) (fma.f64 beta beta (*.f64 beta (-.f64 -2 beta)))))
(pow.f64 (E.f64) (log.f64 (+.f64 beta (+.f64 beta 2))))
(+.f64 2 (*.f64 2 beta))
(pow.f64 (+.f64 beta (+.f64 beta 2)) 1)
(+.f64 2 (*.f64 2 beta))
(pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta 2))) 3)
(+.f64 2 (*.f64 2 beta))
(pow.f64 (pow.f64 (+.f64 beta (+.f64 beta 2)) 3) 1/3)
(+.f64 2 (*.f64 2 beta))
(pow.f64 (sqrt.f64 (+.f64 beta (+.f64 beta 2))) 2)
(+.f64 2 (*.f64 2 beta))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 beta (+.f64 beta 2)))) 2)) (cbrt.f64 (log.f64 (+.f64 beta (+.f64 beta 2)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 (*.f64 2 beta)))) 2)) (cbrt.f64 (log.f64 (+.f64 2 (*.f64 2 beta)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 beta (+.f64 beta 2))))) (sqrt.f64 (log.f64 (+.f64 beta (+.f64 beta 2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 2 (*.f64 2 beta))))) (sqrt.f64 (log.f64 (+.f64 2 (*.f64 2 beta)))))
(sqrt.f64 (pow.f64 (+.f64 beta (+.f64 beta 2)) 2))
(sqrt.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 2))
(fabs.f64 (+.f64 2 (*.f64 2 beta)))
(log.f64 (exp.f64 (+.f64 beta (+.f64 beta 2))))
(+.f64 2 (*.f64 2 beta))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 beta (+.f64 beta 2)))))
(+.f64 2 (*.f64 2 beta))
(cbrt.f64 (pow.f64 (+.f64 beta (+.f64 beta 2)) 3))
(+.f64 2 (*.f64 2 beta))
(expm1.f64 (log1p.f64 (+.f64 beta (+.f64 beta 2))))
(+.f64 2 (*.f64 2 beta))
(exp.f64 (log.f64 (+.f64 beta (+.f64 beta 2))))
(+.f64 2 (*.f64 2 beta))
(exp.f64 (*.f64 (log.f64 (+.f64 beta (+.f64 beta 2))) 1))
(+.f64 2 (*.f64 2 beta))
(log1p.f64 (expm1.f64 (+.f64 beta (+.f64 beta 2))))
(+.f64 2 (*.f64 2 beta))
(fma.f64 1 beta (+.f64 beta 2))
(+.f64 2 (*.f64 2 beta))
(fma.f64 1 (+.f64 beta 2) beta)
(+.f64 2 (*.f64 2 beta))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (cbrt.f64 (+.f64 beta 2)) beta)
(+.f64 2 (*.f64 2 beta))
(fma.f64 (pow.f64 (cbrt.f64 beta) 2) (cbrt.f64 beta) (+.f64 beta 2))
(+.f64 2 (*.f64 2 beta))
(fma.f64 (sqrt.f64 (+.f64 beta 2)) (sqrt.f64 (+.f64 beta 2)) beta)
(+.f64 2 (*.f64 2 beta))
(fma.f64 (sqrt.f64 beta) (sqrt.f64 beta) (+.f64 beta 2))
(+.f64 2 (*.f64 2 beta))

eval852.0ms (7.3%)

Compiler

Compiled 34948 to 25402 computations (27.3% saved)

prune236.0ms (2%)

Pruning

19 alts after pruning (13 fresh and 6 done)

PrunedKeptTotal
New8587865
Fresh268
Picked235
Done033
Total86219881
Accuracy
100.0%
Counts
881 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.5%
(/.f64 (pow.f64 (sqrt.f64 (E.f64)) (*.f64 2 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))) 2)
24.9%
(/.f64 (pow.f64 (E.f64) (+.f64 (log.f64 (/.f64 (-.f64 -2 (*.f64 2 beta)) (neg.f64 alpha))) (/.f64 (-.f64 -2 beta) alpha))) 2)
76.0%
(/.f64 (pow.f64 (E.f64) (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) 2)
14.7%
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (-.f64 -2 (+.f64 beta beta)) -1) (/.f64 alpha (+.f64 beta 2))) (*.f64 alpha (*.f64 (-.f64 -2 (+.f64 beta beta)) (/.f64 -1 alpha)))) (*.f64 alpha (/.f64 alpha (+.f64 beta 2)))) 2)
25.7%
(/.f64 (/.f64 2 (*.f64 alpha (exp.f64 (/.f64 2 alpha)))) 2)
24.5%
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 (*.f64 (-.f64 (-.f64 -2 beta) beta) (/.f64 -1 alpha)) (/.f64 alpha (+.f64 2 beta)))) 2)
50.0%
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
76.5%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
26.6%
(/.f64 (+.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) (-.f64 (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) (/.f64 (pow.f64 alpha 2) (*.f64 1/2 (+.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 (+.f64 2 beta) 2))))) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) (/.f64 alpha (+.f64 2 beta))))) 2)
73.9%
(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
44.8%
(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
32.4%
(/.f64 (+.f64 2 (neg.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta))) 2)
75.4%
(/.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 3)) 2)
50.0%
(/.f64 (exp.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) 2)
23.9%
(/.f64 (exp.f64 (log.f64 (-.f64 (*.f64 (-.f64 -2 (+.f64 beta beta)) (/.f64 -1 alpha)) (/.f64 (-.f64 -2 (+.f64 beta beta)) (/.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 -1 alpha)))))) 2)
6.2%
(/.f64 beta alpha)
39.5%
(/.f64 2 2)
26.0%
(/.f64 1 alpha)
28.0%
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
76.5%
(/.f64 (pow.f64 (sqrt.f64 (E.f64)) (*.f64 2 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))) 2)
24.9%
(/.f64 (pow.f64 (E.f64) (+.f64 (log.f64 (/.f64 (-.f64 -2 (*.f64 2 beta)) (neg.f64 alpha))) (/.f64 (-.f64 -2 beta) alpha))) 2)
76.0%
(/.f64 (pow.f64 (E.f64) (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) 2)
14.7%
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (-.f64 -2 (+.f64 beta beta)) -1) (/.f64 alpha (+.f64 beta 2))) (*.f64 alpha (*.f64 (-.f64 -2 (+.f64 beta beta)) (/.f64 -1 alpha)))) (*.f64 alpha (/.f64 alpha (+.f64 beta 2)))) 2)
25.7%
(/.f64 (/.f64 2 (*.f64 alpha (exp.f64 (/.f64 2 alpha)))) 2)
24.5%
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 (*.f64 (-.f64 (-.f64 -2 beta) beta) (/.f64 -1 alpha)) (/.f64 alpha (+.f64 2 beta)))) 2)
50.0%
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
76.5%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
26.6%
(/.f64 (+.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) (-.f64 (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) (/.f64 (pow.f64 alpha 2) (*.f64 1/2 (+.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 (+.f64 2 beta) 2))))) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) (/.f64 alpha (+.f64 2 beta))))) 2)
73.9%
(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
44.8%
(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
32.4%
(/.f64 (+.f64 2 (neg.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta))) 2)
75.4%
(/.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 3)) 2)
50.0%
(/.f64 (exp.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) 2)
23.9%
(/.f64 (exp.f64 (log.f64 (-.f64 (*.f64 (-.f64 -2 (+.f64 beta beta)) (/.f64 -1 alpha)) (/.f64 (-.f64 -2 (+.f64 beta beta)) (/.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 -1 alpha)))))) 2)
6.2%
(/.f64 beta alpha)
39.5%
(/.f64 2 2)
26.0%
(/.f64 1 alpha)
28.0%
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
Compiler

Compiled 1174 to 898 computations (23.5% saved)

localize612.0ms (5.3%)

Localize:

Found 8 expressions with local error:

NewAccuracyProgram
100.0%
(*.f64 (-.f64 -2 (+.f64 beta beta)) (/.f64 -1 alpha))
99.9%
(/.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 -1 alpha))
99.0%
(/.f64 (-.f64 -2 (+.f64 beta beta)) (/.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 -1 alpha)))
97.7%
(exp.f64 (log.f64 (-.f64 (*.f64 (-.f64 -2 (+.f64 beta beta)) (/.f64 -1 alpha)) (/.f64 (-.f64 -2 (+.f64 beta beta)) (/.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 -1 alpha))))))
100.0%
(*.f64 alpha (exp.f64 (/.f64 2 alpha)))
97.5%
(pow.f64 (sqrt.f64 (E.f64)) (*.f64 2 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))))
76.1%
(log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
28.9%
(E.f64)
Compiler

Compiled 333 to 207 computations (37.8% saved)

series32.0ms (0.3%)

Counts
6 → 128
Calls

33 calls:

TimeVariablePointExpression
7.0ms
alpha
@0
(*.f64 alpha (exp.f64 (/.f64 2 alpha)))
4.0ms
beta
@0
(pow.f64 (sqrt.f64 (E.f64)) (*.f64 2 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))))
3.0ms
alpha
@0
(pow.f64 (sqrt.f64 (E.f64)) (*.f64 2 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))))
3.0ms
beta
@-inf
(pow.f64 (sqrt.f64 (E.f64)) (*.f64 2 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))))
2.0ms
alpha
@inf
(pow.f64 (sqrt.f64 (E.f64)) (*.f64 2 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))))

rewrite158.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
292×times-frac
283×log1p-expm1-u
283×expm1-log1p-u
274×add-exp-log
274×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034293
1620255
Stop Event
node limit
Counts
6 → 194
Calls
Call 1
Inputs
(pow.f64 (sqrt.f64 (E.f64)) (*.f64 2 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))))
(*.f64 alpha (exp.f64 (/.f64 2 alpha)))
(exp.f64 (log.f64 (-.f64 (*.f64 (-.f64 -2 (+.f64 beta beta)) (/.f64 -1 alpha)) (/.f64 (-.f64 -2 (+.f64 beta beta)) (/.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 -1 alpha))))))
(/.f64 (-.f64 -2 (+.f64 beta beta)) (/.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 -1 alpha)))
(/.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 -1 alpha))
(*.f64 (-.f64 -2 (+.f64 beta beta)) (/.f64 -1 alpha))
Outputs
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))) 1)
(*.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) 2) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))))
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))))
(*.f64 (pow.f64 1 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 2)) (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) (pow.f64 (cbrt.f64 (E.f64)) (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))))
(*.f64 (pow.f64 1 (*.f64 2 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))) (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
(*.f64 (pow.f64 (cbrt.f64 (E.f64)) (*.f64 2 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))) (pow.f64 (cbrt.f64 (exp.f64 1/2)) (*.f64 2 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))))
(*.f64 (pow.f64 (pow.f64 (E.f64) 1/4) (*.f64 2 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))) (pow.f64 (pow.f64 (E.f64) 1/4) (*.f64 2 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))))
(/.f64 (-.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)))))
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) 2))
(log.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))))
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 alpha (exp.f64 (/.f64 2 alpha))))) 1)
(pow.f64 (*.f64 alpha (exp.f64 (/.f64 2 alpha))) 1)
(pow.f64 (cbrt.f64 (*.f64 alpha (exp.f64 (/.f64 2 alpha)))) 3)
(pow.f64 (pow.f64 (*.f64 alpha (exp.f64 (/.f64 2 alpha))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 alpha (exp.f64 (/.f64 2 alpha)))) 2)
(sqrt.f64 (pow.f64 (*.f64 alpha (exp.f64 (/.f64 2 alpha))) 2))
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(pow.f64 (sqrt.f64 (/.f64 (-.f64 -2 (/.f64 0 0)) (neg.f64 alpha))) 2)
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(log.f64 (exp.f64 (/.f64 (-.f64 -2 (/.f64 0 0)) (neg.f64 alpha))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 -2 (/.f64 0 0)) (neg.f64 alpha)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 -2 (/.f64 0 0)) (neg.f64 alpha)) 3))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 -2 (/.f64 0 0)) (neg.f64 alpha))))
(exp.f64 (log.f64 (/.f64 (-.f64 -2 (/.f64 0 0)) (neg.f64 alpha))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 -2 (/.f64 0 0)) (neg.f64 alpha))) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 -2 (/.f64 0 0)) (neg.f64 alpha))))

simplify147.0ms (1.3%)

Algorithm
egg-herbie
Rules
454×*-commutative
280×+-commutative
164×sqr-pow
152×associate-*r/
138×fma-def
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088720711
1395520711
Stop Event
unsound
Counts
322 → 346
Calls
Call 1
Inputs
(exp.f64 (*.f64 2 (*.f64 (log.f64 (sqrt.f64 (E.f64))) (log.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))))))))
(+.f64 (exp.f64 (*.f64 2 (*.f64 (log.f64 (sqrt.f64 (E.f64))) (log.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))))))) (*.f64 2 (*.f64 beta (*.f64 (exp.f64 (*.f64 2 (*.f64 (log.f64 (sqrt.f64 (E.f64))) (log.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))))))) (*.f64 (log.f64 (sqrt.f64 (E.f64))) (-.f64 (/.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 2 alpha))) (*.f64 -1 (/.f64 alpha (*.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2))))))))))
(+.f64 (exp.f64 (*.f64 2 (*.f64 (log.f64 (sqrt.f64 (E.f64))) (log.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))))))) (+.f64 (*.f64 2 (*.f64 beta (*.f64 (exp.f64 (*.f64 2 (*.f64 (log.f64 (sqrt.f64 (E.f64))) (log.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))))))) (*.f64 (log.f64 (sqrt.f64 (E.f64))) (-.f64 (/.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 2 alpha))) (*.f64 -1 (/.f64 alpha (*.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2))))))))) (*.f64 (pow.f64 beta 2) (*.f64 (exp.f64 (*.f64 2 (*.f64 (log.f64 (sqrt.f64 (E.f64))) (log.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))))))) (+.f64 (*.f64 2 (*.f64 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 2) (pow.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 2 alpha))) (*.f64 -1 (/.f64 alpha (*.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2))))) 2))) (*.f64 (log.f64 (sqrt.f64 (E.f64))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 2) (pow.f64 (+.f64 1 (*.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 -1 (/.f64 alpha (+.f64 2 alpha)))))))))))))
(+.f64 (exp.f64 (*.f64 2 (*.f64 (log.f64 (sqrt.f64 (E.f64))) (log.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))))))) (+.f64 (*.f64 2 (*.f64 beta (*.f64 (exp.f64 (*.f64 2 (*.f64 (log.f64 (sqrt.f64 (E.f64))) (log.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))))))) (*.f64 (log.f64 (sqrt.f64 (E.f64))) (-.f64 (/.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 2 alpha))) (*.f64 -1 (/.f64 alpha (*.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2))))))))) (+.f64 (*.f64 (pow.f64 beta 2) (*.f64 (exp.f64 (*.f64 2 (*.f64 (log.f64 (sqrt.f64 (E.f64))) (log.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))))))) (+.f64 (*.f64 2 (*.f64 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 2) (pow.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 2 alpha))) (*.f64 -1 (/.f64 alpha (*.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2))))) 2))) (*.f64 (log.f64 (sqrt.f64 (E.f64))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 2) (pow.f64 (+.f64 1 (*.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 -1 (/.f64 alpha (+.f64 2 alpha))))))))))) (*.f64 (pow.f64 beta 3) (*.f64 (exp.f64 (*.f64 2 (*.f64 (log.f64 (sqrt.f64 (E.f64))) (log.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))))))) (+.f64 (*.f64 1/3 (*.f64 (log.f64 (sqrt.f64 (E.f64))) (+.f64 (*.f64 -6 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 3) (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) 3))) (*.f64 6 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)))) (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))))))))) (+.f64 (*.f64 4/3 (*.f64 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 3) (pow.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 2 alpha))) (*.f64 -1 (/.f64 alpha (*.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2))))) 3))) (*.f64 2 (*.f64 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 2) (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 2) (pow.f64 (+.f64 1 (*.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 -1 (/.f64 alpha (+.f64 2 alpha))))))) (-.f64 (/.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 2 alpha))) (*.f64 -1 (/.f64 alpha (*.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2)))))))))))))))
(exp.f64 (*.f64 2 (*.f64 (log.f64 2) (log.f64 (sqrt.f64 (E.f64))))))
(+.f64 (exp.f64 (*.f64 2 (*.f64 (log.f64 2) (log.f64 (sqrt.f64 (E.f64)))))) (/.f64 (*.f64 (exp.f64 (*.f64 2 (*.f64 (log.f64 2) (log.f64 (sqrt.f64 (E.f64)))))) (*.f64 (log.f64 (sqrt.f64 (E.f64))) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) beta))
(+.f64 (exp.f64 (*.f64 2 (*.f64 (log.f64 2) (log.f64 (sqrt.f64 (E.f64)))))) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 2 (*.f64 (log.f64 2) (log.f64 (sqrt.f64 (E.f64)))))) (*.f64 (log.f64 (sqrt.f64 (E.f64))) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) beta) (/.f64 (*.f64 (exp.f64 (*.f64 2 (*.f64 (log.f64 2) (log.f64 (sqrt.f64 (E.f64)))))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 2) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2))) (*.f64 (log.f64 (sqrt.f64 (E.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 (exp.f64 (*.f64 2 (*.f64 (log.f64 2) (log.f64 (sqrt.f64 (E.f64)))))) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 2 (*.f64 (log.f64 2) (log.f64 (sqrt.f64 (E.f64)))))) (*.f64 (log.f64 (sqrt.f64 (E.f64))) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) beta) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 2 (*.f64 (log.f64 2) (log.f64 (sqrt.f64 (E.f64)))))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 3) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 3))) (+.f64 (*.f64 1/3 (*.f64 (log.f64 (sqrt.f64 (E.f64))) (+.f64 (*.f64 1/4 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 3)) (+.f64 (*.f64 3/2 (*.f64 (+.f64 2 alpha) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2))) (*.f64 3 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))))))) (*.f64 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 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))) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))))))) (pow.f64 beta 3)) (/.f64 (*.f64 (exp.f64 (*.f64 2 (*.f64 (log.f64 2) (log.f64 (sqrt.f64 (E.f64)))))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 2) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2))) (*.f64 (log.f64 (sqrt.f64 (E.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)))))
(exp.f64 (*.f64 2 (*.f64 (log.f64 2) (log.f64 (sqrt.f64 (E.f64))))))
(+.f64 (exp.f64 (*.f64 2 (*.f64 (log.f64 2) (log.f64 (sqrt.f64 (E.f64)))))) (/.f64 (*.f64 (exp.f64 (*.f64 2 (*.f64 (log.f64 2) (log.f64 (sqrt.f64 (E.f64)))))) (*.f64 (log.f64 (sqrt.f64 (E.f64))) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) beta))
(+.f64 (exp.f64 (*.f64 2 (*.f64 (log.f64 2) (log.f64 (sqrt.f64 (E.f64)))))) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 2 (*.f64 (log.f64 2) (log.f64 (sqrt.f64 (E.f64)))))) (*.f64 (log.f64 (sqrt.f64 (E.f64))) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) beta) (/.f64 (*.f64 (exp.f64 (*.f64 2 (*.f64 (log.f64 2) (log.f64 (sqrt.f64 (E.f64)))))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 2) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2))) (*.f64 (log.f64 (sqrt.f64 (E.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 (exp.f64 (*.f64 2 (*.f64 (log.f64 2) (log.f64 (sqrt.f64 (E.f64)))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 (*.f64 2 (*.f64 (log.f64 2) (log.f64 (sqrt.f64 (E.f64)))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 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))) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 3) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 3))) (*.f64 1/3 (*.f64 (log.f64 (sqrt.f64 (E.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 (*.f64 (exp.f64 (*.f64 2 (*.f64 (log.f64 2) (log.f64 (sqrt.f64 (E.f64)))))) (*.f64 (log.f64 (sqrt.f64 (E.f64))) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) beta) (/.f64 (*.f64 (exp.f64 (*.f64 2 (*.f64 (log.f64 2) (log.f64 (sqrt.f64 (E.f64)))))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 2) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2))) (*.f64 (log.f64 (sqrt.f64 (E.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)))))
(exp.f64 (*.f64 2 (*.f64 (log.f64 (sqrt.f64 (E.f64))) (log.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta)))))))
(+.f64 (exp.f64 (*.f64 2 (*.f64 (log.f64 (sqrt.f64 (E.f64))) (log.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))))))) (*.f64 -2 (/.f64 (*.f64 alpha (*.f64 (exp.f64 (*.f64 2 (*.f64 (log.f64 (sqrt.f64 (E.f64))) (log.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))))))) (*.f64 (log.f64 (sqrt.f64 (E.f64))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))) (+.f64 1 (/.f64 beta (+.f64 2 beta))))))
(+.f64 (exp.f64 (*.f64 2 (*.f64 (log.f64 (sqrt.f64 (E.f64))) (log.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))))))) (+.f64 (*.f64 -2 (/.f64 (*.f64 alpha (*.f64 (exp.f64 (*.f64 2 (*.f64 (log.f64 (sqrt.f64 (E.f64))) (log.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))))))) (*.f64 (log.f64 (sqrt.f64 (E.f64))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))) (+.f64 1 (/.f64 beta (+.f64 2 beta))))) (*.f64 (pow.f64 alpha 2) (*.f64 (exp.f64 (*.f64 2 (*.f64 (log.f64 (sqrt.f64 (E.f64))) (log.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))))))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 2) (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 (log.f64 (sqrt.f64 (E.f64))) (+.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 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 2 beta)))))))))))
(+.f64 (exp.f64 (*.f64 2 (*.f64 (log.f64 (sqrt.f64 (E.f64))) (log.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))))))) (+.f64 (*.f64 -2 (/.f64 (*.f64 alpha (*.f64 (exp.f64 (*.f64 2 (*.f64 (log.f64 (sqrt.f64 (E.f64))) (log.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))))))) (*.f64 (log.f64 (sqrt.f64 (E.f64))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))) (+.f64 1 (/.f64 beta (+.f64 2 beta))))) (+.f64 (*.f64 (pow.f64 alpha 2) (*.f64 (exp.f64 (*.f64 2 (*.f64 (log.f64 (sqrt.f64 (E.f64))) (log.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))))))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 2) (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 (log.f64 (sqrt.f64 (E.f64))) (+.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 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 2 beta))))))))) (*.f64 (pow.f64 alpha 3) (*.f64 (exp.f64 (*.f64 2 (*.f64 (log.f64 (sqrt.f64 (E.f64))) (log.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))))))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 2) (*.f64 (+.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 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 2 beta))))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (+.f64 1 (/.f64 beta (+.f64 2 beta))))) (+.f64 (*.f64 -4/3 (/.f64 (*.f64 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 3) (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 1/3 (*.f64 (log.f64 (sqrt.f64 (E.f64))) (+.f64 (*.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))))) (+.f64 (*.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 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2) (+.f64 2 beta)))))))))))))))
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alpha
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alpha
(+.f64 2 alpha)
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(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
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(/.f64 2 alpha)
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(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
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(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
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(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
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(pow.f64 (sqrt.f64 (*.f64 (/.f64 alpha (+.f64 2 beta)) (neg.f64 alpha))) 2)
(pow.f64 (/.f64 (/.f64 -1 alpha) (/.f64 alpha (+.f64 2 beta))) -1)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 alpha (+.f64 2 beta)) (neg.f64 alpha)) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 alpha (+.f64 2 beta))) (neg.f64 alpha)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 alpha (+.f64 2 beta)) (neg.f64 alpha)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 alpha (+.f64 2 beta)) (neg.f64 alpha)) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 alpha (+.f64 2 beta)) 3) (pow.f64 (/.f64 -1 alpha) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 alpha (+.f64 2 beta)) (neg.f64 alpha))))
(exp.f64 (log.f64 (*.f64 (/.f64 alpha (+.f64 2 beta)) (neg.f64 alpha))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 alpha (+.f64 2 beta)) (neg.f64 alpha))) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 alpha (+.f64 2 beta)) (neg.f64 alpha))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 -2 (/.f64 0 0)) (neg.f64 alpha)))) 1)
(/.f64 (-.f64 -2 (/.f64 0 0)) (neg.f64 alpha))
(/.f64 1 (/.f64 alpha (*.f64 (-.f64 -2 (/.f64 0 0)) -1)))
(/.f64 (-.f64 -8 (/.f64 0 0)) (*.f64 (neg.f64 alpha) (+.f64 4 (+.f64 (/.f64 0 0) (*.f64 -2 (/.f64 0 0))))))
(/.f64 (-.f64 4 (/.f64 0 0)) (*.f64 (neg.f64 alpha) (+.f64 -2 (/.f64 0 0))))
(/.f64 (*.f64 (-.f64 -2 (/.f64 0 0)) -1) alpha)
(/.f64 (*.f64 (-.f64 -8 (/.f64 0 0)) -1) (*.f64 (+.f64 4 (+.f64 (/.f64 0 0) (*.f64 -2 (/.f64 0 0)))) alpha))
(/.f64 (*.f64 (-.f64 -8 (/.f64 0 0)) 1) (*.f64 (+.f64 4 (+.f64 (/.f64 0 0) (*.f64 -2 (/.f64 0 0)))) (neg.f64 alpha)))
(/.f64 (*.f64 (-.f64 4 (/.f64 0 0)) -1) (*.f64 (+.f64 -2 (/.f64 0 0)) alpha))
(/.f64 (*.f64 (-.f64 4 (/.f64 0 0)) 1) (*.f64 (+.f64 -2 (/.f64 0 0)) (neg.f64 alpha)))
(/.f64 (*.f64 -1 (-.f64 -8 (/.f64 0 0))) (*.f64 alpha (+.f64 4 (+.f64 (/.f64 0 0) (*.f64 -2 (/.f64 0 0))))))
(/.f64 (*.f64 -1 (-.f64 4 (/.f64 0 0))) (*.f64 alpha (+.f64 -2 (/.f64 0 0))))
(/.f64 (neg.f64 (*.f64 (-.f64 -2 (/.f64 0 0)) -1)) (neg.f64 alpha))
(pow.f64 (/.f64 (-.f64 -2 (/.f64 0 0)) (neg.f64 alpha)) 1)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 -2 (/.f64 0 0)) (neg.f64 alpha))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 -2 (/.f64 0 0)) (neg.f64 alpha)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 -2 (/.f64 0 0)) (neg.f64 alpha))) 2)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 -2 (/.f64 0 0)) (neg.f64 alpha)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 -2 (/.f64 0 0)) (neg.f64 alpha))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 -2 (/.f64 0 0)) (neg.f64 alpha)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 -2 (/.f64 0 0)) (neg.f64 alpha)) 3))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 -2 (/.f64 0 0)) (neg.f64 alpha))))
(exp.f64 (log.f64 (/.f64 (-.f64 -2 (/.f64 0 0)) (neg.f64 alpha))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 -2 (/.f64 0 0)) (neg.f64 alpha))) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 -2 (/.f64 0 0)) (neg.f64 alpha))))
Outputs
(exp.f64 (*.f64 2 (*.f64 (log.f64 (sqrt.f64 (E.f64))) (log.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))))))))
(exp.f64 (*.f64 -27 (log1p.f64 (/.f64 alpha (+.f64 -27 alpha)))))
(+.f64 (exp.f64 (*.f64 2 (*.f64 (log.f64 (sqrt.f64 (E.f64))) (log.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))))))) (*.f64 2 (*.f64 beta (*.f64 (exp.f64 (*.f64 2 (*.f64 (log.f64 (sqrt.f64 (E.f64))) (log.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))))))) (*.f64 (log.f64 (sqrt.f64 (E.f64))) (-.f64 (/.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 2 alpha))) (*.f64 -1 (/.f64 alpha (*.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2))))))))))
(+.f64 (exp.f64 (*.f64 -27 (log1p.f64 (/.f64 alpha (+.f64 -27 alpha))))) (*.f64 (neg.f64 beta) (*.f64 (exp.f64 (*.f64 -27 (log1p.f64 (/.f64 alpha (+.f64 -27 alpha))))) (*.f64 -27 (+.f64 (/.f64 -27 (*.f64 (+.f64 -27 alpha) (+.f64 -27 (/.f64 alpha (+.f64 -27 alpha))))) (/.f64 alpha (*.f64 (+.f64 -27 (/.f64 alpha (+.f64 -27 alpha))) (pow.f64 (+.f64 -27 alpha) -27))))))))
(+.f64 (exp.f64 (*.f64 2 (*.f64 (log.f64 (sqrt.f64 (E.f64))) (log.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))))))) (+.f64 (*.f64 2 (*.f64 beta (*.f64 (exp.f64 (*.f64 2 (*.f64 (log.f64 (sqrt.f64 (E.f64))) (log.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))))))) (*.f64 (log.f64 (sqrt.f64 (E.f64))) (-.f64 (/.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 2 alpha))) (*.f64 -1 (/.f64 alpha (*.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2))))))))) (*.f64 (pow.f64 beta 2) (*.f64 (exp.f64 (*.f64 2 (*.f64 (log.f64 (sqrt.f64 (E.f64))) (log.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))))))) (+.f64 (*.f64 2 (*.f64 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 2) (pow.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 2 alpha))) (*.f64 -1 (/.f64 alpha (*.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2))))) 2))) (*.f64 (log.f64 (sqrt.f64 (E.f64))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 2) (pow.f64 (+.f64 1 (*.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 -1 (/.f64 alpha (+.f64 2 alpha)))))))))))))
(+.f64 (exp.f64 (*.f64 -27 (log1p.f64 (/.f64 alpha (+.f64 -27 alpha))))) (fma.f64 -27 (*.f64 beta (*.f64 (exp.f64 (*.f64 -27 (log1p.f64 (/.f64 alpha (+.f64 -27 alpha))))) (*.f64 -27 (+.f64 (/.f64 -27 (*.f64 (+.f64 -27 alpha) (+.f64 -27 (/.f64 alpha (+.f64 -27 alpha))))) (/.f64 alpha (*.f64 (+.f64 -27 (/.f64 alpha (+.f64 -27 alpha))) (pow.f64 (+.f64 -27 alpha) -27))))))) (*.f64 (pow.f64 beta -27) (*.f64 (exp.f64 (*.f64 -27 (log1p.f64 (/.f64 alpha (+.f64 -27 alpha))))) (+.f64 (*.f64 -27 (pow.f64 (+.f64 (/.f64 -27 (*.f64 (+.f64 -27 alpha) (+.f64 -27 (/.f64 alpha (+.f64 -27 alpha))))) (/.f64 alpha (*.f64 (+.f64 -27 (/.f64 alpha (+.f64 -27 alpha))) (pow.f64 (+.f64 -27 alpha) -27)))) -27)) (*.f64 -27 (fma.f64 -27 (/.f64 (pow.f64 (+.f64 (/.f64 -27 (+.f64 -27 alpha)) (/.f64 alpha (pow.f64 (+.f64 -27 alpha) -27))) -27) (pow.f64 (+.f64 -27 (/.f64 alpha (+.f64 -27 alpha))) -27)) (*.f64 -27 (/.f64 (-.f64 (/.f64 alpha (pow.f64 (+.f64 -27 alpha) -27)) (/.f64 -27 (pow.f64 (+.f64 -27 alpha) -27))) (+.f64 -27 (/.f64 alpha (+.f64 -27 alpha))))))))))))
(+.f64 (exp.f64 (*.f64 2 (*.f64 (log.f64 (sqrt.f64 (E.f64))) (log.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))))))) (+.f64 (*.f64 2 (*.f64 beta (*.f64 (exp.f64 (*.f64 2 (*.f64 (log.f64 (sqrt.f64 (E.f64))) (log.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))))))) (*.f64 (log.f64 (sqrt.f64 (E.f64))) (-.f64 (/.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 2 alpha))) (*.f64 -1 (/.f64 alpha (*.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2))))))))) (+.f64 (*.f64 (pow.f64 beta 2) (*.f64 (exp.f64 (*.f64 2 (*.f64 (log.f64 (sqrt.f64 (E.f64))) (log.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))))))) (+.f64 (*.f64 2 (*.f64 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 2) (pow.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 2 alpha))) (*.f64 -1 (/.f64 alpha (*.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2))))) 2))) (*.f64 (log.f64 (sqrt.f64 (E.f64))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 2) (pow.f64 (+.f64 1 (*.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 -1 (/.f64 alpha (+.f64 2 alpha))))))))))) (*.f64 (pow.f64 beta 3) (*.f64 (exp.f64 (*.f64 2 (*.f64 (log.f64 (sqrt.f64 (E.f64))) (log.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))))))) (+.f64 (*.f64 1/3 (*.f64 (log.f64 (sqrt.f64 (E.f64))) (+.f64 (*.f64 -6 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 3) (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) 3))) (*.f64 6 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)))) (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))))))))) (+.f64 (*.f64 4/3 (*.f64 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 3) (pow.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 2 alpha))) (*.f64 -1 (/.f64 alpha (*.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2))))) 3))) (*.f64 2 (*.f64 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 2) (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 2) (pow.f64 (+.f64 1 (*.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 -1 (/.f64 alpha (+.f64 2 alpha))))))) (-.f64 (/.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 2 alpha))) (*.f64 -1 (/.f64 alpha (*.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2)))))))))))))))
(+.f64 (exp.f64 (*.f64 -27 (log1p.f64 (/.f64 alpha (+.f64 -27 alpha))))) (fma.f64 -27 (*.f64 beta (*.f64 (exp.f64 (*.f64 -27 (log1p.f64 (/.f64 alpha (+.f64 -27 alpha))))) (*.f64 -27 (+.f64 (/.f64 -27 (*.f64 (+.f64 -27 alpha) (+.f64 -27 (/.f64 alpha (+.f64 -27 alpha))))) (/.f64 alpha (*.f64 (+.f64 -27 (/.f64 alpha (+.f64 -27 alpha))) (pow.f64 (+.f64 -27 alpha) -27))))))) (fma.f64 (pow.f64 beta -27) (*.f64 (exp.f64 (*.f64 -27 (log1p.f64 (/.f64 alpha (+.f64 -27 alpha))))) (+.f64 (*.f64 -27 (pow.f64 (+.f64 (/.f64 -27 (*.f64 (+.f64 -27 alpha) (+.f64 -27 (/.f64 alpha (+.f64 -27 alpha))))) (/.f64 alpha (*.f64 (+.f64 -27 (/.f64 alpha (+.f64 -27 alpha))) (pow.f64 (+.f64 -27 alpha) -27)))) -27)) (*.f64 -27 (fma.f64 -27 (/.f64 (pow.f64 (+.f64 (/.f64 -27 (+.f64 -27 alpha)) (/.f64 alpha (pow.f64 (+.f64 -27 alpha) -27))) -27) (pow.f64 (+.f64 -27 (/.f64 alpha (+.f64 -27 alpha))) -27)) (*.f64 -27 (/.f64 (-.f64 (/.f64 alpha (pow.f64 (+.f64 -27 alpha) -27)) (/.f64 -27 (pow.f64 (+.f64 -27 alpha) -27))) (+.f64 -27 (/.f64 alpha (+.f64 -27 alpha))))))))) (*.f64 (pow.f64 beta -27) (*.f64 (exp.f64 (*.f64 -27 (log1p.f64 (/.f64 alpha (+.f64 -27 alpha))))) (+.f64 (*.f64 -27 (fma.f64 -6 (/.f64 (-.f64 (/.f64 alpha (pow.f64 (+.f64 -27 alpha) -27)) (/.f64 -27 (pow.f64 (+.f64 -27 alpha) -27))) (/.f64 (pow.f64 (+.f64 -27 (/.f64 alpha (+.f64 -27 alpha))) -27) (+.f64 (/.f64 -27 (+.f64 -27 alpha)) (/.f64 alpha (pow.f64 (+.f64 -27 alpha) -27))))) (fma.f64 -27 (/.f64 (pow.f64 (+.f64 (/.f64 -27 (+.f64 -27 alpha)) (/.f64 alpha (pow.f64 (+.f64 -27 alpha) -27))) -27) (pow.f64 (+.f64 -27 (/.f64 alpha (+.f64 -27 alpha))) -27)) (*.f64 6 (/.f64 (+.f64 (/.f64 -27 (pow.f64 (+.f64 -27 alpha) -27)) (/.f64 alpha (pow.f64 (+.f64 -27 alpha) -27))) (+.f64 -27 (/.f64 alpha (+.f64 -27 alpha)))))))) (+.f64 (*.f64 -27 (pow.f64 (+.f64 (/.f64 -27 (*.f64 (+.f64 -27 alpha) (+.f64 -27 (/.f64 alpha (+.f64 -27 alpha))))) (/.f64 alpha (*.f64 (+.f64 -27 (/.f64 alpha (+.f64 -27 alpha))) (pow.f64 (+.f64 -27 alpha) -27)))) -27)) (*.f64 -27 (*.f64 (+.f64 (/.f64 -27 (*.f64 (+.f64 -27 alpha) (+.f64 -27 (/.f64 alpha (+.f64 -27 alpha))))) (/.f64 alpha (*.f64 (+.f64 -27 (/.f64 alpha (+.f64 -27 alpha))) (pow.f64 (+.f64 -27 alpha) -27)))) (fma.f64 -27 (/.f64 (pow.f64 (+.f64 (/.f64 -27 (+.f64 -27 alpha)) (/.f64 alpha (pow.f64 (+.f64 -27 alpha) -27))) -27) (pow.f64 (+.f64 -27 (/.f64 alpha (+.f64 -27 alpha))) -27)) (*.f64 -27 (/.f64 (-.f64 (/.f64 alpha (pow.f64 (+.f64 -27 alpha) -27)) (/.f64 -27 (pow.f64 (+.f64 -27 alpha) -27))) (+.f64 -27 (/.f64 alpha (+.f64 -27 alpha)))))))))))))))
(exp.f64 (*.f64 2 (*.f64 (log.f64 2) (log.f64 (sqrt.f64 (E.f64))))))
-27
(+.f64 (exp.f64 (*.f64 2 (*.f64 (log.f64 2) (log.f64 (sqrt.f64 (E.f64)))))) (/.f64 (*.f64 (exp.f64 (*.f64 2 (*.f64 (log.f64 2) (log.f64 (sqrt.f64 (E.f64)))))) (*.f64 (log.f64 (sqrt.f64 (E.f64))) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) beta))
(+.f64 -27 (/.f64 (*.f64 -27 (-.f64 alpha (+.f64 -27 alpha))) beta))
(+.f64 (exp.f64 (*.f64 2 (*.f64 (log.f64 2) (log.f64 (sqrt.f64 (E.f64)))))) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 2 (*.f64 (log.f64 2) (log.f64 (sqrt.f64 (E.f64)))))) (*.f64 (log.f64 (sqrt.f64 (E.f64))) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) beta) (/.f64 (*.f64 (exp.f64 (*.f64 2 (*.f64 (log.f64 2) (log.f64 (sqrt.f64 (E.f64)))))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 2) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2))) (*.f64 (log.f64 (sqrt.f64 (E.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 -27 (+.f64 (/.f64 (*.f64 -27 (-.f64 alpha (+.f64 -27 alpha))) beta) (/.f64 (+.f64 (*.f64 -27 (pow.f64 (-.f64 alpha (+.f64 -27 alpha)) -27)) (*.f64 -27 (*.f64 -27 (fma.f64 -27 (*.f64 (+.f64 -27 alpha) (-.f64 alpha (+.f64 -27 alpha))) (*.f64 (pow.f64 (-.f64 alpha (+.f64 -27 alpha)) -27) -1/4))))) (pow.f64 beta -27))))
(+.f64 (exp.f64 (*.f64 2 (*.f64 (log.f64 2) (log.f64 (sqrt.f64 (E.f64)))))) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 2 (*.f64 (log.f64 2) (log.f64 (sqrt.f64 (E.f64)))))) (*.f64 (log.f64 (sqrt.f64 (E.f64))) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) beta) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 2 (*.f64 (log.f64 2) (log.f64 (sqrt.f64 (E.f64)))))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 3) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 3))) (+.f64 (*.f64 1/3 (*.f64 (log.f64 (sqrt.f64 (E.f64))) (+.f64 (*.f64 1/4 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 3)) (+.f64 (*.f64 3/2 (*.f64 (+.f64 2 alpha) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2))) (*.f64 3 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))))))) (*.f64 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 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))) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))))))) (pow.f64 beta 3)) (/.f64 (*.f64 (exp.f64 (*.f64 2 (*.f64 (log.f64 2) (log.f64 (sqrt.f64 (E.f64)))))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 2) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2))) (*.f64 (log.f64 (sqrt.f64 (E.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 -27 (+.f64 (/.f64 (*.f64 -27 (-.f64 alpha (+.f64 -27 alpha))) beta) (+.f64 (/.f64 (+.f64 (*.f64 -27 (pow.f64 (-.f64 alpha (+.f64 -27 alpha)) -27)) (*.f64 -27 (*.f64 -27 (fma.f64 -27 (*.f64 (+.f64 -27 alpha) (-.f64 alpha (+.f64 -27 alpha))) (*.f64 (pow.f64 (-.f64 alpha (+.f64 -27 alpha)) -27) -1/4))))) (pow.f64 beta -27)) (/.f64 -27 (/.f64 (pow.f64 beta -27) (+.f64 (*.f64 -27 (pow.f64 (-.f64 alpha (+.f64 -27 alpha)) -27)) (+.f64 (*.f64 -27 (fma.f64 1/4 (pow.f64 (-.f64 alpha (+.f64 -27 alpha)) -27) (fma.f64 -27 (*.f64 (+.f64 -27 alpha) (pow.f64 (-.f64 alpha (+.f64 -27 alpha)) -27)) (*.f64 -27 (*.f64 (pow.f64 (+.f64 -27 alpha) -27) (-.f64 alpha (+.f64 -27 alpha))))))) (*.f64 -27 (*.f64 (-.f64 alpha (+.f64 -27 alpha)) (fma.f64 -27 (*.f64 (+.f64 -27 alpha) (-.f64 alpha (+.f64 -27 alpha))) (*.f64 (pow.f64 (-.f64 alpha (+.f64 -27 alpha)) -27) -1/4)))))))))))
(exp.f64 (*.f64 2 (*.f64 (log.f64 2) (log.f64 (sqrt.f64 (E.f64))))))
-27
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(+.f64 -27 (/.f64 (*.f64 -27 (-.f64 alpha (+.f64 -27 alpha))) beta))
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alpha
(+.f64 2 alpha)
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alpha
(+.f64 2 alpha)
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(/.f64 alpha (/.f64 (-.f64 -27 beta) alpha))
(*.f64 (neg.f64 alpha) (/.f64 alpha (+.f64 2 beta)))
(/.f64 (pow.f64 alpha -27) (+.f64 -27 beta))
(*.f64 (neg.f64 alpha) (/.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 1 alpha)))
(/.f64 alpha (/.f64 (-.f64 -27 beta) alpha))
(*.f64 (*.f64 (/.f64 alpha (+.f64 2 beta)) -1) alpha)
(/.f64 (pow.f64 alpha -27) (+.f64 -27 beta))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (/.f64 -1 alpha)) (/.f64 (cbrt.f64 alpha) (+.f64 2 beta)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) -27) (/.f64 -27 alpha)) (/.f64 (cbrt.f64 alpha) (+.f64 -27 beta)))
(*.f64 (/.f64 (sqrt.f64 alpha) (/.f64 -1 alpha)) (/.f64 (sqrt.f64 alpha) (+.f64 2 beta)))
(*.f64 (/.f64 (sqrt.f64 alpha) (/.f64 -27 alpha)) (/.f64 (sqrt.f64 alpha) (+.f64 -27 beta)))
(*.f64 (/.f64 alpha 1) (/.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 -1 alpha)))
(/.f64 alpha (/.f64 (-.f64 -27 beta) alpha))
(*.f64 (/.f64 alpha (cbrt.f64 (/.f64 1 (pow.f64 alpha 2)))) (/.f64 (/.f64 1 (+.f64 2 beta)) (cbrt.f64 (/.f64 -1 alpha))))
(/.f64 (/.f64 alpha (/.f64 (-.f64 -27 beta) alpha)) (/.f64 -27 alpha))
(*.f64 (/.f64 alpha (sqrt.f64 (/.f64 -1 alpha))) (/.f64 (/.f64 1 (+.f64 2 beta)) (sqrt.f64 (/.f64 -1 alpha))))
(*.f64 (/.f64 alpha (sqrt.f64 (/.f64 -27 alpha))) (/.f64 -27 (*.f64 (sqrt.f64 (/.f64 -27 alpha)) (+.f64 -27 beta))))
(*.f64 (/.f64 1 (cbrt.f64 (/.f64 1 (pow.f64 alpha 2)))) (/.f64 (/.f64 alpha (+.f64 2 beta)) (cbrt.f64 (/.f64 -1 alpha))))
(/.f64 (/.f64 alpha (/.f64 (-.f64 -27 beta) alpha)) (/.f64 -27 alpha))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 -1 alpha))) (/.f64 (/.f64 alpha (+.f64 2 beta)) (sqrt.f64 (/.f64 -1 alpha))))
(*.f64 (/.f64 -27 (sqrt.f64 (/.f64 -27 alpha))) (/.f64 alpha (*.f64 (sqrt.f64 (/.f64 -27 alpha)) (+.f64 -27 beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 2 beta))) 2) -1) (/.f64 (cbrt.f64 (/.f64 alpha (+.f64 2 beta))) (/.f64 1 alpha)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 -27 beta))) -27) (*.f64 (/.f64 (cbrt.f64 (/.f64 alpha (+.f64 -27 beta))) -27) alpha))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 2 beta))) 2) 1) (/.f64 (cbrt.f64 (/.f64 alpha (+.f64 2 beta))) (/.f64 -1 alpha)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 -27 beta))) -27) (*.f64 (/.f64 (cbrt.f64 (/.f64 alpha (+.f64 -27 beta))) -27) alpha))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 2 beta))) 2) (cbrt.f64 (/.f64 1 (pow.f64 alpha 2)))) (cbrt.f64 (*.f64 (/.f64 alpha (+.f64 2 beta)) (neg.f64 alpha))))
(*.f64 (/.f64 (pow.f64 alpha -27) (+.f64 -27 beta)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 -27 beta))) -27) (/.f64 -27 alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 2 beta))) 2) (sqrt.f64 (/.f64 -1 alpha))) (/.f64 (cbrt.f64 (/.f64 alpha (+.f64 2 beta))) (sqrt.f64 (/.f64 -1 alpha))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 -27 beta))) -27) (sqrt.f64 (/.f64 -27 alpha))) (/.f64 (cbrt.f64 (/.f64 alpha (+.f64 -27 beta))) (sqrt.f64 (/.f64 -27 alpha))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 alpha (+.f64 2 beta))) -1) (/.f64 (sqrt.f64 (/.f64 alpha (+.f64 2 beta))) (/.f64 1 alpha)))
(*.f64 (sqrt.f64 (/.f64 alpha (+.f64 -27 beta))) (*.f64 (sqrt.f64 (/.f64 alpha (+.f64 -27 beta))) alpha))
(*.f64 (/.f64 (sqrt.f64 (/.f64 alpha (+.f64 2 beta))) 1) (/.f64 (sqrt.f64 (/.f64 alpha (+.f64 2 beta))) (/.f64 -1 alpha)))
(*.f64 (sqrt.f64 (/.f64 alpha (+.f64 -27 beta))) (*.f64 (sqrt.f64 (/.f64 alpha (+.f64 -27 beta))) alpha))
(*.f64 (/.f64 (sqrt.f64 (/.f64 alpha (+.f64 2 beta))) (cbrt.f64 (/.f64 1 (pow.f64 alpha 2)))) (/.f64 (sqrt.f64 (/.f64 alpha (+.f64 2 beta))) (cbrt.f64 (/.f64 -1 alpha))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 alpha (+.f64 -27 beta))) alpha) (*.f64 (sqrt.f64 (/.f64 alpha (+.f64 -27 beta))) alpha))
(pow.f64 (*.f64 (/.f64 alpha (+.f64 2 beta)) (neg.f64 alpha)) 1)
(/.f64 (pow.f64 alpha -27) (+.f64 -27 beta))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 alpha (+.f64 2 beta)) (neg.f64 alpha))) 3)
(/.f64 (pow.f64 alpha -27) (+.f64 -27 beta))
(pow.f64 (pow.f64 (*.f64 (/.f64 alpha (+.f64 2 beta)) (neg.f64 alpha)) 3) 1/3)
(/.f64 (pow.f64 alpha -27) (+.f64 -27 beta))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 alpha (+.f64 2 beta)) (neg.f64 alpha))) 2)
(/.f64 (pow.f64 alpha -27) (+.f64 -27 beta))
(pow.f64 (/.f64 (/.f64 -1 alpha) (/.f64 alpha (+.f64 2 beta))) -1)
(/.f64 (/.f64 (-.f64 -27 beta) alpha) alpha)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 alpha (+.f64 2 beta)) (neg.f64 alpha)) 2))
(sqrt.f64 (/.f64 (pow.f64 alpha -27) (+.f64 -27 beta)))
(log.f64 (pow.f64 (exp.f64 (/.f64 alpha (+.f64 2 beta))) (neg.f64 alpha)))
(*.f64 alpha (log.f64 (exp.f64 (/.f64 alpha (+.f64 -27 beta)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 alpha (+.f64 2 beta)) (neg.f64 alpha)))))
(/.f64 (pow.f64 alpha -27) (+.f64 -27 beta))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 alpha (+.f64 2 beta)) (neg.f64 alpha)) 3))
(/.f64 (pow.f64 alpha -27) (+.f64 -27 beta))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 alpha (+.f64 2 beta)) 3) (pow.f64 (/.f64 -1 alpha) 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 alpha (+.f64 -27 beta)) -27) (/.f64 -27 alpha)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 alpha (+.f64 2 beta)) (neg.f64 alpha))))
(/.f64 (pow.f64 alpha -27) (+.f64 -27 beta))
(exp.f64 (log.f64 (*.f64 (/.f64 alpha (+.f64 2 beta)) (neg.f64 alpha))))
(/.f64 (pow.f64 alpha -27) (+.f64 -27 beta))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 alpha (+.f64 2 beta)) (neg.f64 alpha))) 1))
(/.f64 (pow.f64 alpha -27) (+.f64 -27 beta))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 alpha (+.f64 2 beta)) (neg.f64 alpha))))
(/.f64 (pow.f64 alpha -27) (+.f64 -27 beta))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 -2 (/.f64 0 0)) (neg.f64 alpha)))) 1)
(/.f64 -27 alpha)
(/.f64 (-.f64 -2 (/.f64 0 0)) (neg.f64 alpha))
(/.f64 -27 alpha)
(/.f64 1 (/.f64 alpha (*.f64 (-.f64 -2 (/.f64 0 0)) -1)))
(/.f64 -27 alpha)
(/.f64 (-.f64 -8 (/.f64 0 0)) (*.f64 (neg.f64 alpha) (+.f64 4 (+.f64 (/.f64 0 0) (*.f64 -2 (/.f64 0 0))))))
(/.f64 -27 alpha)
(/.f64 (-.f64 4 (/.f64 0 0)) (*.f64 (neg.f64 alpha) (+.f64 -2 (/.f64 0 0))))
(/.f64 -27 alpha)
(/.f64 (*.f64 (-.f64 -2 (/.f64 0 0)) -1) alpha)
(/.f64 -27 alpha)
(/.f64 (*.f64 (-.f64 -8 (/.f64 0 0)) -1) (*.f64 (+.f64 4 (+.f64 (/.f64 0 0) (*.f64 -2 (/.f64 0 0)))) alpha))
(/.f64 -27 alpha)
(/.f64 (*.f64 (-.f64 -8 (/.f64 0 0)) 1) (*.f64 (+.f64 4 (+.f64 (/.f64 0 0) (*.f64 -2 (/.f64 0 0)))) (neg.f64 alpha)))
(/.f64 -27 alpha)
(/.f64 (*.f64 (-.f64 4 (/.f64 0 0)) -1) (*.f64 (+.f64 -2 (/.f64 0 0)) alpha))
(/.f64 -27 alpha)
(/.f64 (*.f64 (-.f64 4 (/.f64 0 0)) 1) (*.f64 (+.f64 -2 (/.f64 0 0)) (neg.f64 alpha)))
(/.f64 -27 alpha)
(/.f64 (*.f64 -1 (-.f64 -8 (/.f64 0 0))) (*.f64 alpha (+.f64 4 (+.f64 (/.f64 0 0) (*.f64 -2 (/.f64 0 0))))))
(/.f64 -27 alpha)
(/.f64 (*.f64 -1 (-.f64 4 (/.f64 0 0))) (*.f64 alpha (+.f64 -2 (/.f64 0 0))))
(/.f64 -27 alpha)
(/.f64 (neg.f64 (*.f64 (-.f64 -2 (/.f64 0 0)) -1)) (neg.f64 alpha))
(/.f64 -27 alpha)
(pow.f64 (/.f64 (-.f64 -2 (/.f64 0 0)) (neg.f64 alpha)) 1)
(/.f64 -27 alpha)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 -2 (/.f64 0 0)) (neg.f64 alpha))) 3)
(/.f64 -27 alpha)
(pow.f64 (pow.f64 (/.f64 (-.f64 -2 (/.f64 0 0)) (neg.f64 alpha)) 3) 1/3)
(/.f64 -27 alpha)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 -2 (/.f64 0 0)) (neg.f64 alpha))) 2)
(pow.f64 (sqrt.f64 (/.f64 -27 alpha)) -27)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 -2 (/.f64 0 0)) (neg.f64 alpha)) 2))
(sqrt.f64 (/.f64 -27 alpha))
(log.f64 (exp.f64 (/.f64 (-.f64 -2 (/.f64 0 0)) (neg.f64 alpha))))
(/.f64 -27 alpha)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 -2 (/.f64 0 0)) (neg.f64 alpha)))))
(/.f64 -27 alpha)
(cbrt.f64 (pow.f64 (/.f64 (-.f64 -2 (/.f64 0 0)) (neg.f64 alpha)) 3))
(/.f64 -27 alpha)
(expm1.f64 (log1p.f64 (/.f64 (-.f64 -2 (/.f64 0 0)) (neg.f64 alpha))))
(/.f64 -27 alpha)
(exp.f64 (log.f64 (/.f64 (-.f64 -2 (/.f64 0 0)) (neg.f64 alpha))))
(/.f64 -27 alpha)
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 -2 (/.f64 0 0)) (neg.f64 alpha))) 1))
(/.f64 -27 alpha)
(log1p.f64 (expm1.f64 (/.f64 (-.f64 -2 (/.f64 0 0)) (neg.f64 alpha))))
(/.f64 -27 alpha)

eval737.0ms (6.3%)

Compiler

Compiled 19968 to 14925 computations (25.3% saved)

prune132.0ms (1.1%)

Pruning

11 alts after pruning (3 fresh and 8 done)

PrunedKeptTotal
New4431444
Fresh628
Picked325
Done066
Total45211463
Accuracy
100.0%
Counts
463 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.0%
(/.f64 (pow.f64 (E.f64) (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) 2)
71.5%
(/.f64 (/.f64 2 (+.f64 2 alpha)) 2)
50.0%
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
76.5%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
73.9%
(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
44.8%
(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
32.4%
(/.f64 (+.f64 2 (neg.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta))) 2)
6.2%
(/.f64 beta alpha)
39.5%
(/.f64 2 2)
26.0%
(/.f64 1 alpha)
28.0%
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
Compiler

Compiled 636 to 465 computations (26.9% saved)

regimes148.0ms (1.3%)

Counts
31 → 2
Calls
Call 1
Inputs
(/.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 2 (+.f64 2 alpha)) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(/.f64 (+.f64 2 (neg.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta))) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 (*.f64 (-.f64 (-.f64 -2 beta) beta) (/.f64 -1 alpha)) (/.f64 alpha (+.f64 2 beta)))) 2)
(/.f64 (-.f64 (*.f64 (-.f64 (-.f64 -2 beta) beta) (/.f64 -1 alpha)) (/.f64 (*.f64 (-.f64 (-.f64 -2 beta) beta) (/.f64 -1 alpha)) (/.f64 alpha (+.f64 2 beta)))) 2)
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (-.f64 -2 (+.f64 beta beta)) -1) (/.f64 alpha (+.f64 beta 2))) (*.f64 alpha (*.f64 (-.f64 -2 (+.f64 beta beta)) (/.f64 -1 alpha)))) (*.f64 alpha (/.f64 alpha (+.f64 beta 2)))) 2)
(/.f64 (/.f64 2 (*.f64 alpha (exp.f64 (/.f64 2 alpha)))) 2)
(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) 2)
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)) (-.f64 (-.f64 -2 beta) beta)) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 2)
(/.f64 (exp.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) 2)
(/.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) 2)
(/.f64 (pow.f64 (E.f64) (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) 2)
(/.f64 (pow.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2) 2)
(/.f64 (pow.f64 (E.f64) (+.f64 (log.f64 (/.f64 (-.f64 -2 (*.f64 2 beta)) (neg.f64 alpha))) (/.f64 (-.f64 -2 beta) alpha))) 2)
(/.f64 (exp.f64 (log.f64 (-.f64 (*.f64 (-.f64 -2 (+.f64 beta beta)) (/.f64 -1 alpha)) (/.f64 (-.f64 -2 (+.f64 beta beta)) (/.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 -1 alpha)))))) 2)
(pow.f64 (cbrt.f64 (/.f64 1/2 (/.f64 alpha (fma.f64 beta 2 2)))) 3)
(/.f64 (pow.f64 (sqrt.f64 (E.f64)) (*.f64 2 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))) 2)
(/.f64 (exp.f64 (+.f64 (log.f64 (+.f64 beta (+.f64 2 beta))) (-.f64 (/.f64 (-.f64 -2 beta) alpha) (log.f64 alpha)))) 2)
(/.f64 (+.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) (-.f64 (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) (/.f64 (pow.f64 alpha 2) (*.f64 1/2 (+.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 (+.f64 2 beta) 2))))) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) (/.f64 alpha (+.f64 2 beta))))) 2)
(/.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 3)) 2)
(/.f64 (fma.f64 (-.f64 (-.f64 -2 beta) beta) (/.f64 -1 alpha) (-.f64 (/.f64 (*.f64 (-.f64 (-.f64 -2 beta) beta) (/.f64 -1 alpha)) (/.f64 (pow.f64 alpha 2) (*.f64 1/2 (+.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 (+.f64 2 beta) 2))))) (/.f64 (*.f64 (-.f64 (-.f64 -2 beta) beta) (/.f64 -1 alpha)) (/.f64 alpha (+.f64 2 beta))))) 2)
(/.f64 (+.f64 (+.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3) (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2))) (fma.f64 (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)) (-.f64 (-.f64 -2 beta) beta) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha))) 2)
Outputs
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)) (-.f64 (-.f64 -2 beta) beta)) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 2)
(/.f64 (pow.f64 (sqrt.f64 (E.f64)) (*.f64 2 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))) 2)
Calls

5 calls:

58.0ms
alpha
33.0ms
beta
18.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
17.0ms
(+.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
94.3%2alpha
97.5%2beta
99.9%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
99.9%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
99.9%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
Compiler

Compiled 572 to 409 computations (28.5% saved)

regimes96.0ms (0.8%)

Counts
25 → 2
Calls
Call 1
Inputs
(/.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 2 (+.f64 2 alpha)) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(/.f64 (+.f64 2 (neg.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta))) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 (*.f64 (-.f64 (-.f64 -2 beta) beta) (/.f64 -1 alpha)) (/.f64 alpha (+.f64 2 beta)))) 2)
(/.f64 (-.f64 (*.f64 (-.f64 (-.f64 -2 beta) beta) (/.f64 -1 alpha)) (/.f64 (*.f64 (-.f64 (-.f64 -2 beta) beta) (/.f64 -1 alpha)) (/.f64 alpha (+.f64 2 beta)))) 2)
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (-.f64 -2 (+.f64 beta beta)) -1) (/.f64 alpha (+.f64 beta 2))) (*.f64 alpha (*.f64 (-.f64 -2 (+.f64 beta beta)) (/.f64 -1 alpha)))) (*.f64 alpha (/.f64 alpha (+.f64 beta 2)))) 2)
(/.f64 (/.f64 2 (*.f64 alpha (exp.f64 (/.f64 2 alpha)))) 2)
(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) 2)
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)) (-.f64 (-.f64 -2 beta) beta)) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 2)
(/.f64 (exp.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) 2)
(/.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) 2)
(/.f64 (pow.f64 (E.f64) (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) 2)
(/.f64 (pow.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2) 2)
(/.f64 (pow.f64 (E.f64) (+.f64 (log.f64 (/.f64 (-.f64 -2 (*.f64 2 beta)) (neg.f64 alpha))) (/.f64 (-.f64 -2 beta) alpha))) 2)
(/.f64 (exp.f64 (log.f64 (-.f64 (*.f64 (-.f64 -2 (+.f64 beta beta)) (/.f64 -1 alpha)) (/.f64 (-.f64 -2 (+.f64 beta beta)) (/.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 -1 alpha)))))) 2)
(pow.f64 (cbrt.f64 (/.f64 1/2 (/.f64 alpha (fma.f64 beta 2 2)))) 3)
Outputs
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)) (-.f64 (-.f64 -2 beta) beta)) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 2)
(/.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) 2)
Calls

3 calls:

16.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
8.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
8.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
Results
AccuracySegmentsBranch
99.9%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
99.9%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
99.9%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
Compiler

Compiled 370 to 262 computations (29.2% saved)

regimes32.0ms (0.3%)

Counts
19 → 2
Calls
Call 1
Inputs
(/.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 2 (+.f64 2 alpha)) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(/.f64 (+.f64 2 (neg.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta))) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 (*.f64 (-.f64 (-.f64 -2 beta) beta) (/.f64 -1 alpha)) (/.f64 alpha (+.f64 2 beta)))) 2)
(/.f64 (-.f64 (*.f64 (-.f64 (-.f64 -2 beta) beta) (/.f64 -1 alpha)) (/.f64 (*.f64 (-.f64 (-.f64 -2 beta) beta) (/.f64 -1 alpha)) (/.f64 alpha (+.f64 2 beta)))) 2)
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (-.f64 -2 (+.f64 beta beta)) -1) (/.f64 alpha (+.f64 beta 2))) (*.f64 alpha (*.f64 (-.f64 -2 (+.f64 beta beta)) (/.f64 -1 alpha)))) (*.f64 alpha (/.f64 alpha (+.f64 beta 2)))) 2)
(/.f64 (/.f64 2 (*.f64 alpha (exp.f64 (/.f64 2 alpha)))) 2)
(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) 2)
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)) (-.f64 (-.f64 -2 beta) beta)) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 2)
(/.f64 (exp.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) 2)
Outputs
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)) (-.f64 (-.f64 -2 beta) beta)) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
Calls

3 calls:

13.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
7.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
5.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
Results
AccuracySegmentsBranch
99.9%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 268 to 193 computations (28% saved)

regimes32.0ms (0.3%)

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

3 calls:

13.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
7.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
5.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
Results
AccuracySegmentsBranch
99.9%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
99.9%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
99.9%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
Compiler

Compiled 235 to 169 computations (28.1% saved)

regimes26.0ms (0.2%)

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

3 calls:

11.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
6.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
5.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
Results
AccuracySegmentsBranch
99.4%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
99.4%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
99.4%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
Compiler

Compiled 149 to 110 computations (26.2% saved)

regimes18.0ms (0.2%)

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

1 calls:

15.0ms
beta
Results
AccuracySegmentsBranch
97.1%2beta
Compiler

Compiled 79 to 61 computations (22.8% saved)

regimes13.0ms (0.1%)

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

1 calls:

11.0ms
beta
Results
AccuracySegmentsBranch
96.4%2beta
Compiler

Compiled 40 to 30 computations (25% saved)

regimes54.0ms (0.5%)

Counts
6 → 4
Calls
Call 1
Inputs
(/.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 1 alpha)
(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
(/.f64 2 2)
Calls

2 calls:

32.0ms
alpha
21.0ms
beta
Results
AccuracySegmentsBranch
73.0%6alpha
75.3%4beta
Compiler

Compiled 36 to 26 computations (27.8% saved)

regimes21.0ms (0.2%)

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

2 calls:

10.0ms
alpha
8.0ms
beta
Results
AccuracySegmentsBranch
58.3%2alpha
54.9%2beta
Compiler

Compiled 29 to 20 computations (31% saved)

regimes14.0ms (0.1%)

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

1 calls:

13.0ms
alpha
Results
AccuracySegmentsBranch
55.9%2alpha
Compiler

Compiled 19 to 15 computations (21.1% saved)

regimes8.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

4.0ms
beta
3.0ms
alpha
Results
AccuracySegmentsBranch
26.0%1beta
26.0%1alpha
Compiler

Compiled 11 to 8 computations (27.3% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.999999434726845
-0.92535220451095
Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.999999434726845
-0.92535220451095
Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.999999434726845
-0.92535220451095
Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.999999434726845
-0.92535220451095
Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999999999723497
-0.9999999962393619
Compiler

Compiled 20 to 15 computations (25% saved)

bsearch23.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
23.0ms
2.0403554242300453e-12
0.0003146658030481044
Results
11.0ms105×body256valid
6.0ms22×body1024valid
2.0ms14×body512valid
1.0msbody2048valid
Compiler

Compiled 218 to 186 computations (14.7% saved)

bsearch82.0ms (0.7%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
82.0ms
0.0003146658030481044
2373073.250644787
Results
70.0ms122×body256valid
6.0ms17×body1024valid
3.0ms19×body512valid
1.0msbody2048valid
Compiler

Compiled 180 to 165 computations (8.3% saved)

bsearch68.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
27.0ms
0.0003146658030481044
2373073.250644787
21.0ms
2.00450863090379e-183
6.075521977369044e-179
20.0ms
3.05388749856396e-214
5.464112434936625e-210
Results
36.0ms304×body256valid
14.0ms62×body1024valid
8.0ms47×body512valid
1.0msbody2048valid
Compiler

Compiled 436 to 389 computations (10.8% saved)

bsearch19.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
19.0ms
3.307836127432335e-5
24.79248579140397
Results
17.0ms144×body256valid
Compiler

Compiled 164 to 132 computations (19.5% saved)

bsearch21.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
20.0ms
3.307836127432335e-5
24.79248579140397
Results
19.0ms144×body256valid
Compiler

Compiled 128 to 114 computations (10.9% saved)

simplify50.0ms (0.4%)

Algorithm
egg-herbie
Rules
160×unsub-neg
98×neg-mul-1
82×+-commutative
60×distribute-neg-out
56×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0911148
11201148
21371148
31581148
41871148
52361148
62881148
73621148
84541148
94861148
105111148
115141148
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -4278419646001971/4503599627370496) (/.f64 (-.f64 (*.f64 (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)) (-.f64 (-.f64 -2 beta) beta)) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 2) (/.f64 (pow.f64 (sqrt.f64 (E.f64)) (*.f64 2 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -4278419646001971/4503599627370496) (/.f64 (-.f64 (*.f64 (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)) (-.f64 (-.f64 -2 beta) beta)) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 2) (/.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -4278419646001971/4503599627370496) (/.f64 (-.f64 (*.f64 (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)) (-.f64 (-.f64 -2 beta) beta)) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -4278419646001971/4503599627370496) (/.f64 (-.f64 (*.f64 (-.f64 (-.f64 -2 beta) beta) (/.f64 -1 alpha)) (/.f64 (*.f64 (-.f64 (-.f64 -2 beta) beta) (/.f64 -1 alpha)) (/.f64 alpha (+.f64 2 beta)))) 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)) -9007199236726593/9007199254740992) (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 beta 5415987671873539/38685626227668133590597632) (/.f64 (/.f64 2 (+.f64 2 alpha)) 2) (/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2))
(if (<=.f64 beta 3715469692580659/562949953421312) (/.f64 (/.f64 2 (+.f64 2 alpha)) 2) (/.f64 2 2))
(if (<=.f64 beta 740298315191607/185074578797901741880056797082722491652594329967104984657651428941017502866551504889831353286343393081484762513295539999743888383402206229143653783207080500031048652651411283677848015502881818392904162310804899782048803192832) (/.f64 (+.f64 (*.f64 beta 1/2) 1) 2) (if (<=.f64 beta 1495020541582441/598008216632976371697735644702348584536405246902083247220875921706093794716375762404103004004990504111786204800430166155026589905240121409306972824498630058082565445957748647537262486126146850127872) (/.f64 1 alpha) (if (<=.f64 beta 2) (/.f64 (+.f64 (*.f64 beta 1/2) 1) 2) (/.f64 2 2))))
(if (<=.f64 alpha 49/2) (/.f64 2 2) (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)))
(if (<=.f64 alpha 49/2) (/.f64 2 2) (/.f64 1 alpha))
(/.f64 1 alpha)
Outputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -4278419646001971/4503599627370496) (/.f64 (-.f64 (*.f64 (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)) (-.f64 (-.f64 -2 beta) beta)) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 2) (/.f64 (pow.f64 (sqrt.f64 (E.f64)) (*.f64 2 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -4278419646001971/4503599627370496) (/.f64 (-.f64 (*.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (-.f64 (-.f64 -2 beta) beta)) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 2) (/.f64 (pow.f64 (sqrt.f64 (E.f64)) (*.f64 2 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -4278419646001971/4503599627370496) (/.f64 (+.f64 (*.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (-.f64 (-.f64 -2 beta) beta)) (/.f64 (-.f64 beta (-.f64 -2 beta)) alpha)) 2) (/.f64 (pow.f64 (sqrt.f64 (E.f64)) (*.f64 2 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -4278419646001971/4503599627370496) (/.f64 (+.f64 (*.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (-.f64 (-.f64 -2 beta) beta)) (/.f64 (+.f64 beta (-.f64 beta -2)) alpha)) 2) (/.f64 (pow.f64 (sqrt.f64 (E.f64)) (*.f64 2 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -4278419646001971/4503599627370496) (/.f64 (-.f64 (*.f64 (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)) (-.f64 (-.f64 -2 beta) beta)) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 2) (/.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -4278419646001971/4503599627370496) (/.f64 (-.f64 (*.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (-.f64 (-.f64 -2 beta) beta)) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 2) (/.f64 (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)) -4278419646001971/4503599627370496) (/.f64 (+.f64 (*.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (-.f64 (-.f64 -2 beta) beta)) (/.f64 (-.f64 beta (-.f64 -2 beta)) alpha)) 2) (/.f64 (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)) -4278419646001971/4503599627370496) (/.f64 (+.f64 (*.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (-.f64 (-.f64 -2 beta) beta)) (/.f64 (+.f64 beta (-.f64 beta -2)) alpha)) 2) (/.f64 (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)) -4278419646001971/4503599627370496) (/.f64 (-.f64 (*.f64 (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)) (-.f64 (-.f64 -2 beta) beta)) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -4278419646001971/4503599627370496) (/.f64 (-.f64 (*.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (-.f64 (-.f64 -2 beta) beta)) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -4278419646001971/4503599627370496) (/.f64 (+.f64 (*.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (-.f64 (-.f64 -2 beta) beta)) (/.f64 (-.f64 beta (-.f64 -2 beta)) alpha)) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -4278419646001971/4503599627370496) (/.f64 (+.f64 (*.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (-.f64 (-.f64 -2 beta) beta)) (/.f64 (+.f64 beta (-.f64 beta -2)) alpha)) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -4278419646001971/4503599627370496) (/.f64 (-.f64 (*.f64 (-.f64 (-.f64 -2 beta) beta) (/.f64 -1 alpha)) (/.f64 (*.f64 (-.f64 (-.f64 -2 beta) beta) (/.f64 -1 alpha)) (/.f64 alpha (+.f64 2 beta)))) 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)) -4278419646001971/4503599627370496) (/.f64 (-.f64 (*.f64 (-.f64 (-.f64 -2 beta) beta) (/.f64 -1 alpha)) (/.f64 (*.f64 (-.f64 (-.f64 -2 beta) beta) (/.f64 -1 alpha)) (/.f64 alpha (+.f64 beta 2)))) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -4278419646001971/4503599627370496) (/.f64 (+.f64 (*.f64 (-.f64 (-.f64 -2 beta) beta) (/.f64 -1 alpha)) (/.f64 (*.f64 (/.f64 -1 alpha) (+.f64 beta (-.f64 beta -2))) (/.f64 alpha (+.f64 beta 2)))) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007199236726593/9007199254740992) (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -9007199236726593/9007199254740992) (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))
(if (<=.f64 beta 5415987671873539/38685626227668133590597632) (/.f64 (/.f64 2 (+.f64 2 alpha)) 2) (/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2))
(if (<=.f64 beta 5415987671873539/38685626227668133590597632) (/.f64 (/.f64 2 (+.f64 alpha 2)) 2) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2))
(if (<=.f64 beta 3715469692580659/562949953421312) (/.f64 (/.f64 2 (+.f64 2 alpha)) 2) (/.f64 2 2))
(if (<=.f64 beta 3715469692580659/562949953421312) (/.f64 (/.f64 2 (+.f64 alpha 2)) 2) 1)
(if (<=.f64 beta 740298315191607/185074578797901741880056797082722491652594329967104984657651428941017502866551504889831353286343393081484762513295539999743888383402206229143653783207080500031048652651411283677848015502881818392904162310804899782048803192832) (/.f64 (+.f64 (*.f64 beta 1/2) 1) 2) (if (<=.f64 beta 1495020541582441/598008216632976371697735644702348584536405246902083247220875921706093794716375762404103004004990504111786204800430166155026589905240121409306972824498630058082565445957748647537262486126146850127872) (/.f64 1 alpha) (if (<=.f64 beta 2) (/.f64 (+.f64 (*.f64 beta 1/2) 1) 2) (/.f64 2 2))))
(if (<=.f64 beta 740298315191607/185074578797901741880056797082722491652594329967104984657651428941017502866551504889831353286343393081484762513295539999743888383402206229143653783207080500031048652651411283677848015502881818392904162310804899782048803192832) (/.f64 (+.f64 1 (*.f64 beta 1/2)) 2) (if (<=.f64 beta 1495020541582441/598008216632976371697735644702348584536405246902083247220875921706093794716375762404103004004990504111786204800430166155026589905240121409306972824498630058082565445957748647537262486126146850127872) (/.f64 1 alpha) (if (<=.f64 beta 2) (/.f64 (+.f64 1 (*.f64 beta 1/2)) 2) 1)))
(if (<=.f64 alpha 49/2) (/.f64 2 2) (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)))
(if (<=.f64 alpha 49/2) 1 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)))
(if (<=.f64 alpha 49/2) (/.f64 2 2) (/.f64 1 alpha))
(if (<=.f64 alpha 49/2) 1 (/.f64 1 alpha))
(/.f64 1 alpha)
Compiler

Compiled 339 to 240 computations (29.2% saved)

soundness2.7s (23.1%)

Rules
1824×fma-def
1824×fma-def
1824×fma-def
1824×fma-def
1444×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03869396
111439042
242958889
01480
120680
2329680
03869396
111439042
242958889
026306
1448294
26711294
0113734533
1345132829
032509
1602499
0140246426
1459943513
0113734533
1345132829
0113734533
1345132829
0140246426
1459943513
0113734533
1345132829
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 1383 to 973 computations (29.6% saved)

end0.0ms (0%)

preprocess172.0ms (1.5%)

Compiler

Compiled 668 to 444 computations (33.5% saved)

Profiling

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