Details

Time bar (total: 18.2s)

analyze65.0ms (0.4%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%56.2%43.8%0%0%0%0
0%0%56.2%43.8%0%0%0%1
0%0%56.2%43.8%0%0%0%2
25%14%42.1%43.8%0%0%0%3
37.5%21.1%35.1%43.8%0%0%0%4
56.3%31.6%24.6%43.8%0%0%0%5
65.6%36.9%19.3%43.8%0%0%0%6
76.6%43%13.2%43.8%0%0%0%7
82%46.1%10.1%43.8%0%0%0%8
87.9%49.4%6.8%43.8%0%0%0%9
90.8%51%5.2%43.8%0%0%0%10
93.8%52.7%3.5%43.8%0%0%0%11
95.4%53.6%2.6%43.8%0%0%0%12
Compiler

Compiled 22 to 16 computations (27.3% saved)

sample1.6s (8.9%)

Results
842.0ms6469×body256valid
631.0ms1098×body1024valid
108.0ms602×body512valid
39.0ms87×body2048valid
Bogosity

preprocess66.0ms (0.4%)

Algorithm
egg-herbie
Rules
1084×fma-neg
902×associate-+l-
768×div-sub
742×associate--l-
622×associate-/r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01874
14174
26474
311074
420074
543866
695666
7271866
8596166
022
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 alpha beta) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
Outputs
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
(+.f64 1/2 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) 2 4)))
(/.f64 (+.f64 (/.f64 (-.f64 alpha beta) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
(/.f64 (+.f64 1 (/.f64 (-.f64 alpha beta) (+.f64 beta (+.f64 alpha 2)))) 2)
(/.f64 (+.f64 1 (/.f64 (-.f64 alpha beta) (+.f64 (+.f64 beta alpha) 2))) 2)
(+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 beta alpha) 2 4)))
Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify67.0ms (0.4%)

Algorithm
egg-herbie
Rules
982×associate-/l*
722×fma-def
710×distribute-lft-in
708×associate-+l-
618×associate--l-
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01237
12537
24137
36937
411737
525533
646333
784533
8172033
9394033
Stop Event
node limit
Counts
1 → 5
Calls
Call 1
Inputs
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
Outputs
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 2)
(+.f64 1/2 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) 2 4)))
(-.f64 1/2 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) -2 -4)))

eval1.0ms (0%)

Compiler

Compiled 65 to 39 computations (40% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New415
Fresh101
Picked000
Done000
Total516
Error
17.4b
Counts
6 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
17.4b
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
Compiler

Compiled 15 to 11 computations (26.7% saved)

localize16.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))
1.6b
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)
Compiler

Compiled 50 to 23 computations (54% saved)

series6.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite156.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1652×associate-/l*
1468×associate-/r/
762×associate-/l/
280×+-commutative
274×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01156
125956
2384456
Stop Event
node limit
Counts
2 → 134
Calls
Call 1
Inputs
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.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)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 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simplify171.0ms (0.9%)

Algorithm
egg-herbie
Rules
924×distribute-lft-in
812×distribute-rgt-in
734×*-commutative
724×+-commutative
570×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
060812724
1216112284
Stop Event
node limit
Counts
182 → 354
Calls
Call 1
Inputs
(-.f64 1 (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) 1) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))))) (/.f64 alpha (+.f64 2 alpha)))
2
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2)
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2
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(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
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1
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1
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(/.f64 beta (+.f64 beta 2))
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-1
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-1
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) 1)
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(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))
(-.f64 (exp.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 1)
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(-.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)
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(pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1)
(pow.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)
(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)
(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 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(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 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 0)
(+.f64 1 (+.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 (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (/.f64 beta (+.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 (+.f64 beta (+.f64 alpha 2))) (+.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1) 1))
(-.f64 (exp.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 2)
(-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (+.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(-.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 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) 1))
(*.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)
(*.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(*.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 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (*.f64 (cbrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (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 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha))
(*.f64 (neg.f64 (-.f64 beta alpha)) (/.f64 1 (-.f64 -2 (+.f64 beta alpha))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.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 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2)))
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (*.f64 (-.f64 beta alpha) (+.f64 beta (-.f64 alpha 2))))
(*.f64 (/.f64 1 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (*.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2)))))
(*.f64 (/.f64 1 (-.f64 -2 (+.f64 beta alpha))) (neg.f64 (-.f64 beta alpha)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (-.f64 beta alpha)))
(*.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 (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) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (sqrt.f64 (+.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) (+.f64 beta (+.f64 alpha 2))) (cbrt.f64 (-.f64 beta alpha)))
(*.f64 (/.f64 (-.f64 beta alpha) (neg.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (neg.f64 (+.f64 beta (-.f64 alpha 2))))
(*.f64 (/.f64 (-.f64 beta alpha) (neg.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (neg.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2)))))
(*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (-.f64 beta (+.f64 alpha 2)))
(*.f64 (/.f64 (-.f64 beta alpha) (-.f64 4 (pow.f64 (+.f64 beta alpha) 2))) (-.f64 (-.f64 2 beta) alpha))
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (+.f64 (*.f64 beta beta) (-.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)) (*.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 2)) (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2))) (cbrt.f64 (-.f64 beta alpha)))
(*.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (neg.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (+.f64 beta (-.f64 alpha 2)))
(*.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (neg.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))))
(*.f64 (/.f64 (*.f64 (neg.f64 (-.f64 beta alpha)) 1) (neg.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (+.f64 beta (-.f64 alpha 2)))
(*.f64 (/.f64 (*.f64 (neg.f64 (-.f64 beta alpha)) 1) (neg.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))))
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) 1) (/.f64 1 (+.f64 beta alpha)))
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (-.f64 beta alpha))
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (fma.f64 beta beta (*.f64 alpha (-.f64 alpha beta))))
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (+.f64 beta alpha) (/.f64 1 (-.f64 beta alpha)))) (-.f64 beta alpha))
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (+.f64 beta alpha) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (-.f64 beta alpha)))) (sqrt.f64 (-.f64 beta alpha)))
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (+.f64 beta alpha) (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (-.f64 beta alpha)))) (cbrt.f64 (-.f64 beta alpha)))
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)))) (neg.f64 (-.f64 beta alpha)))
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (-.f64 (*.f64 alpha alpha) (*.f64 beta beta))) (-.f64 alpha beta))
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))) (neg.f64 (fma.f64 beta beta (*.f64 alpha (-.f64 alpha beta)))))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (-.f64 (*.f64 (*.f64 beta beta) (*.f64 beta beta)) (*.f64 (*.f64 alpha (+.f64 beta alpha)) (*.f64 alpha (+.f64 beta alpha))))) (-.f64 (*.f64 beta beta) (*.f64 alpha (+.f64 beta alpha))))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (+.f64 (pow.f64 (*.f64 beta beta) 3) (pow.f64 (*.f64 alpha (+.f64 beta alpha)) 3))) (+.f64 (*.f64 (*.f64 beta beta) (*.f64 beta beta)) (-.f64 (*.f64 (*.f64 alpha (+.f64 beta alpha)) (*.f64 alpha (+.f64 beta alpha))) (*.f64 (*.f64 beta beta) (*.f64 alpha (+.f64 beta alpha))))))
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2)))))
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (sqrt.f64 (+.f64 beta (-.f64 alpha 2))))
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2)))))
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (cbrt.f64 (+.f64 beta (-.f64 alpha 2))))
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (*.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2)))))
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (*.f64 (+.f64 beta (-.f64 alpha 2)) (+.f64 beta (-.f64 alpha 2))))
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (+.f64 beta (-.f64 alpha 2)))
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))))
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (-.f64 alpha 2)))
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)) (+.f64 beta (+.f64 alpha 2)))) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))))
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (*.f64 (+.f64 beta (-.f64 alpha 2)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2)))))
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (*.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))) (+.f64 beta (-.f64 alpha 2))))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3)
(pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -1)
(pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 1/3)
(neg.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.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 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) 1) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (/.f64 alpha (+.f64 alpha 2)))
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (*.f64 (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (*.f64 beta beta))) (/.f64 alpha (+.f64 alpha 2)))
(+.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (fma.f64 (*.f64 beta beta) (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))))) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (fma.f64 (*.f64 beta beta) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)))))) (/.f64 alpha (+.f64 alpha 2)))
(+.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (fma.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 (*.f64 beta beta) (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))))
2
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2)
(fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2)
(fma.f64 -1 (/.f64 (*.f64 (+.f64 alpha 1) 2) beta) 2)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(-.f64 (+.f64 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2) (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha))) (neg.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))))
(+.f64 (fma.f64 -1 (/.f64 (*.f64 (+.f64 alpha 1) 2) beta) 2) (+.f64 (*.f64 (/.f64 (+.f64 alpha 2) (*.f64 beta beta)) alpha) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))))
(-.f64 (+.f64 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2) (+.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)) (neg.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) alpha))))) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))))
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2
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1
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1
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(*.f64 (/.f64 (*.f64 (/.f64 1 (+.f64 (+.f64 alpha 2) beta)) (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (-.f64 (*.f64 beta (pow.f64 beta 3)) (*.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha beta) 2)))) (-.f64 (*.f64 beta beta) (*.f64 alpha (+.f64 alpha beta))))
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 alpha (+.f64 2 beta))) (-.f64 (pow.f64 beta 4) (*.f64 alpha (*.f64 (pow.f64 (+.f64 alpha beta) 2) alpha)))) (-.f64 (*.f64 beta beta) (*.f64 alpha (+.f64 alpha beta))))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (+.f64 (pow.f64 (*.f64 beta beta) 3) (pow.f64 (*.f64 alpha (+.f64 beta alpha)) 3))) (+.f64 (*.f64 (*.f64 beta beta) (*.f64 beta beta)) (-.f64 (*.f64 (*.f64 alpha (+.f64 beta alpha)) (*.f64 alpha (+.f64 beta alpha))) (*.f64 (*.f64 beta beta) (*.f64 alpha (+.f64 beta alpha))))))
(*.f64 (/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (/.f64 (+.f64 (pow.f64 (*.f64 beta beta) 3) (pow.f64 (*.f64 alpha (+.f64 alpha beta)) 3)) (/.f64 1 (+.f64 (+.f64 alpha 2) beta)))) (+.f64 (*.f64 beta (pow.f64 beta 3)) (*.f64 (*.f64 alpha (+.f64 alpha beta)) (-.f64 (*.f64 alpha (+.f64 alpha beta)) (*.f64 beta beta)))))
(*.f64 (/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (*.f64 (+.f64 (pow.f64 beta 6) (pow.f64 (*.f64 alpha (+.f64 alpha beta)) 3)) (+.f64 alpha (+.f64 2 beta)))) (+.f64 (pow.f64 beta 4) (*.f64 alpha (*.f64 (+.f64 alpha beta) (-.f64 (*.f64 alpha (+.f64 alpha beta)) (*.f64 beta beta))))))
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2)))))
(*.f64 (/.f64 (-.f64 beta alpha) (*.f64 (sqrt.f64 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (sqrt.f64 (+.f64 (+.f64 alpha 2) beta)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 4 (*.f64 2 (+.f64 alpha beta))))))
(*.f64 (/.f64 (-.f64 beta alpha) (*.f64 (sqrt.f64 (+.f64 alpha (+.f64 2 beta))) (sqrt.f64 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (+.f64 4 (*.f64 -2 (+.f64 alpha beta))))))
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (sqrt.f64 (+.f64 beta (-.f64 alpha 2))))
(*.f64 (/.f64 (-.f64 beta alpha) (*.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (sqrt.f64 (+.f64 (+.f64 alpha 2) beta)))) (sqrt.f64 (+.f64 beta (+.f64 alpha -2))))
(*.f64 (/.f64 (-.f64 beta alpha) (*.f64 (sqrt.f64 (+.f64 alpha (+.f64 2 beta))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)))) (sqrt.f64 (+.f64 alpha (+.f64 -2 beta))))
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2)))))
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha 2) beta)) 2)) (cbrt.f64 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 4 (*.f64 2 (+.f64 alpha beta))))))
(*.f64 (/.f64 (-.f64 beta alpha) (*.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2) (cbrt.f64 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (+.f64 4 (*.f64 -2 (+.f64 alpha beta))))))
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (cbrt.f64 (+.f64 beta (-.f64 alpha 2))))
(*.f64 (/.f64 (-.f64 beta alpha) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha 2) beta)) 2))) (cbrt.f64 (+.f64 beta (+.f64 alpha -2))))
(*.f64 (/.f64 (-.f64 beta alpha) (*.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2) (cbrt.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)))) (cbrt.f64 (+.f64 alpha (+.f64 -2 beta))))
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (*.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2)))))
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 (+.f64 alpha 2) beta)) (*.f64 alpha (+.f64 (+.f64 alpha 2) beta))) (*.f64 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)))) (*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 4 (*.f64 2 (+.f64 alpha beta)))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 4 (*.f64 2 (+.f64 alpha beta))))))
(*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (+.f64 4 (*.f64 -2 (+.f64 alpha beta)))) (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (+.f64 4 (*.f64 -2 (+.f64 alpha beta)))) (*.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))) (*.f64 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)))))
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (*.f64 (+.f64 beta (-.f64 alpha 2)) (+.f64 beta (-.f64 alpha 2))))
(/.f64 (*.f64 (-.f64 (*.f64 beta (+.f64 (+.f64 alpha 2) beta)) (*.f64 alpha (+.f64 (+.f64 alpha 2) beta))) (*.f64 (+.f64 beta (+.f64 alpha -2)) (+.f64 beta (+.f64 alpha -2)))) (*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)))
(*.f64 (+.f64 alpha (+.f64 -2 beta)) (/.f64 (*.f64 (/.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (+.f64 alpha (+.f64 -2 beta))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)))
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (+.f64 beta (-.f64 alpha 2)))
(*.f64 (+.f64 beta (+.f64 alpha -2)) (/.f64 (-.f64 (*.f64 beta (+.f64 (+.f64 alpha 2) beta)) (*.f64 alpha (+.f64 (+.f64 alpha 2) beta))) (*.f64 (+.f64 (+.f64 alpha 2) beta) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4))))
(*.f64 (+.f64 alpha (+.f64 -2 beta)) (/.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4))))
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))))
(*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 4 (*.f64 2 (+.f64 alpha beta)))) (/.f64 (-.f64 (*.f64 beta (+.f64 (+.f64 alpha 2) beta)) (*.f64 alpha (+.f64 (+.f64 alpha 2) beta))) (*.f64 (+.f64 (+.f64 alpha 2) beta) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)))))
(/.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) (/.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (+.f64 4 (*.f64 -2 (+.f64 alpha beta))))))
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (-.f64 alpha 2)))
(*.f64 (+.f64 beta (+.f64 alpha -2)) (/.f64 (-.f64 (*.f64 beta (+.f64 (+.f64 alpha 2) beta)) (*.f64 alpha (+.f64 (+.f64 alpha 2) beta))) (*.f64 (+.f64 (+.f64 alpha 2) beta) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4))))
(*.f64 (+.f64 alpha (+.f64 -2 beta)) (/.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4))))
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)) (+.f64 beta (+.f64 alpha 2)))) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))))
(*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 4 (*.f64 2 (+.f64 alpha beta)))) (/.f64 (-.f64 (*.f64 beta (+.f64 (+.f64 alpha 2) beta)) (*.f64 alpha (+.f64 (+.f64 alpha 2) beta))) (*.f64 (+.f64 (+.f64 alpha 2) beta) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)))))
(/.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) (/.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (+.f64 4 (*.f64 -2 (+.f64 alpha beta))))))
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (*.f64 (+.f64 beta (-.f64 alpha 2)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2)))))
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 (+.f64 alpha 2) beta)) (*.f64 alpha (+.f64 (+.f64 alpha 2) beta))) (*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)))) (*.f64 (+.f64 beta (+.f64 alpha -2)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 4 (*.f64 2 (+.f64 alpha beta))))))
(*.f64 (+.f64 alpha (+.f64 -2 beta)) (*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (+.f64 4 (*.f64 -2 (+.f64 alpha beta)))) (/.f64 (/.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)))))
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (*.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))) (+.f64 beta (-.f64 alpha 2))))
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 (+.f64 alpha 2) beta)) (*.f64 alpha (+.f64 (+.f64 alpha 2) beta))) (*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)))) (*.f64 (+.f64 beta (+.f64 alpha -2)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 4 (*.f64 2 (+.f64 alpha beta))))))
(*.f64 (+.f64 alpha (+.f64 -2 beta)) (*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (+.f64 4 (*.f64 -2 (+.f64 alpha beta)))) (/.f64 (/.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)))))
(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 (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 (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 (/.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)))
(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)))
(neg.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))
(/.f64 (neg.f64 (-.f64 beta alpha)) (-.f64 (-.f64 -2 beta) alpha))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2))
(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)))

eval238.0ms (1.3%)

Compiler

Compiled 12222 to 7914 computations (35.2% saved)

prune97.0ms (0.5%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New34410354
Fresh000
Picked011
Done000
Total34411355
Error
0.1b
Counts
355 → 11
Alt Table
Click to see full alt table
StatusErrorProgram
17.4b
(/.f64 (/.f64 (/.f64 (+.f64 1 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3) 3)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 6) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)))) 2)
44.0b
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
16.8b
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
17.4b
(/.f64 (-.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) 2)
31.4b
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
25.6b
(/.f64 (+.f64 (/.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (*.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 beta)))) 1) 2)
17.4b
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
18.4b
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
61.5b
(/.f64 (+.f64 -1 1) 2)
45.7b
(/.f64 (*.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)))) 2)
42.1b
(/.f64 2 2)
Compiler

Compiled 425 to 309 computations (27.3% saved)

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))
0.0b
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
0.0b
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
1.6b
(-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)
Compiler

Compiled 73 to 47 computations (35.6% saved)

series8.0ms (0%)

Counts
4 → 96
Calls

24 calls:

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

rewrite191.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1486×associate-/r/
904×associate-/l/
404×+-commutative
378×associate-+l+
342×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
013148
1321112
25017112
Stop Event
node limit
Counts
4 → 290
Calls
Call 1
Inputs
(-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)) (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)) 2) (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)))))) (#(struct:change #<rule egg-rr> 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egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 2) (cbrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))))

simplify241.0ms (1.3%)

Algorithm
egg-herbie
Rules
1350×associate-*r*
1292×+-commutative
1174×associate-*l*
1094×*-commutative
872×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
099630888
1327929492
Stop Event
node limit
Counts
386 → 637
Calls
Call 1
Inputs
-1
(-.f64 (/.f64 alpha (+.f64 beta 2)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 alpha (+.f64 beta 2))) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) 1)
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))))
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))))
(-.f64 (/.f64 alpha (+.f64 2 alpha)) 1)
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2)))) 1)
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2))))) 1)
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 3) alpha) (pow.f64 (+.f64 2 alpha) 4))) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2)))))) 1)
-1
(-.f64 (/.f64 alpha beta) 1)
(-.f64 (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) 1)
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))) 1)
-1
(-.f64 (/.f64 alpha beta) 1)
(-.f64 (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) 1)
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))) 1)
(/.f64 alpha (+.f64 beta 2))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 alpha (+.f64 beta 2)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 alpha (+.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))))
1
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1)
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))))
1
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1)
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))))
(/.f64 alpha (+.f64 2 alpha))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2))))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2)))))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 3) alpha) (pow.f64 (+.f64 2 alpha) 4))) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2))))))
(/.f64 alpha beta)
(+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))))
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 3) alpha) (pow.f64 beta 4))) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))))
(/.f64 alpha beta)
(+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))))
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 3) alpha) (pow.f64 beta 4))) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))))
(*.f64 1/2 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))
(+.f64 (*.f64 1/2 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (*.f64 1/2 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))))))
(+.f64 (*.f64 1/2 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 (*.f64 1/2 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))))) (*.f64 1/2 (*.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 1/2 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))) (+.f64 (*.f64 1/2 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))))) (*.f64 1/2 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))))))
1
(+.f64 1 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)))
(+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 beta 2))) (+.f64 1 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta))))
(+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 beta 2))) (+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha)) (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 beta 3))))))
1
(+.f64 1 (*.f64 -1/2 (/.f64 (-.f64 (+.f64 2 alpha) (*.f64 -1 alpha)) beta)))
(+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 2))) (*.f64 -1/2 (/.f64 (-.f64 (+.f64 2 alpha) (*.f64 -1 alpha)) beta))))
(+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 beta 3))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 2))) (*.f64 -1/2 (/.f64 (-.f64 (+.f64 2 alpha) (*.f64 -1 alpha)) beta)))))
(*.f64 1/2 (+.f64 1 (/.f64 beta (+.f64 beta 2))))
(+.f64 (*.f64 -1/2 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (*.f64 1/2 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))
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(*.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 -1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))))))
(*.f64 (+.f64 (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1))) (-.f64 (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1))))
(*.f64 (/.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 -1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))) (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 2)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 -1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))))) (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 3)))
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 2)) (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 2))) (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 2)) (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 3))) (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (-.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 2) (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))))
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 2)) (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1)))
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 2)) (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 2)) (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1) (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)))) (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1)))
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 2)) (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2))) (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta) (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))))) (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 2)) (+.f64 (*.f64 (neg.f64 beta) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1)) (*.f64 (-.f64 -2 (+.f64 alpha beta)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)))) (*.f64 (-.f64 -2 (+.f64 alpha beta)) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1)))
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 2)) (+.f64 (*.f64 (neg.f64 beta) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)))) (*.f64 (-.f64 -2 (+.f64 alpha beta)) (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))))) (*.f64 (-.f64 -2 (+.f64 alpha beta)) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 3)) (-.f64 (*.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2)) (*.f64 (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 -1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))) (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 -1 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))))))) (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 -1 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))))))
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 3)) (+.f64 (pow.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) 3) (pow.f64 (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 -1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))) 3))) (+.f64 (*.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2)) (-.f64 (*.f64 (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 -1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))) (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 -1 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))))) (*.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 -1 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))))))))
(/.f64 1 (/.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 -1 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 -1 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))))) (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 3))))
(/.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 2)) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 -1 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))))
(/.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 3)) (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 -1 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 2))) (neg.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 -1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 -1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))) (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))))
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2)) (*.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 2) (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 2))) (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 -1 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 2))))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 3)) (*.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 3) (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 3))) (*.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 -1 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))))) (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 3))))
(/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 3)) (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (-.f64 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) (*.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3)) (+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) (-.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) 3) (pow.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 2) 3)) (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 -1 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) (+.f64 (*.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2)) (+.f64 (*.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 2) (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 2)) (*.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 2))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 3) 3) (pow.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 3) 3)) (*.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 -1 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))))) (+.f64 (*.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 3)) (+.f64 (*.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 3) (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 3)) (*.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 3))))))
(/.f64 (-.f64 (*.f64 beta (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1)))
(/.f64 (-.f64 (*.f64 beta (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)))))
(/.f64 (-.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1) (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1))) (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1)))
(/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (-.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1) (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta) (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))))) (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)))))
(/.f64 (-.f64 (*.f64 (neg.f64 beta) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1)) (*.f64 (-.f64 -2 (+.f64 alpha beta)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1))) (*.f64 (-.f64 -2 (+.f64 alpha beta)) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1)))
(/.f64 (-.f64 (*.f64 (neg.f64 beta) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)))) (*.f64 (-.f64 -2 (+.f64 alpha beta)) (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))) (*.f64 (-.f64 -2 (+.f64 alpha beta)) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)))))
(pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1)
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 3)
(pow.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 3) 1/3)
(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 (log.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(exp.f64 (*.f64 (log.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(fma.f64 beta (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(fma.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 2) (cbrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
Outputs
-1
(-.f64 (/.f64 alpha (+.f64 beta 2)) 1)
(+.f64 (/.f64 alpha (+.f64 beta 2)) -1)
(+.f64 -1 (/.f64 alpha (+.f64 beta 2)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 alpha (+.f64 beta 2))) 1)
(+.f64 (fma.f64 -1 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (/.f64 alpha (+.f64 beta 2))) -1)
(+.f64 -1 (fma.f64 -1 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (/.f64 alpha (+.f64 beta 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) 1)
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1
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2
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2
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(/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 3)) (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (-.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 3)) (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (-.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3)) (+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) (-.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3)) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) 3) (pow.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 2) 3)) (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 -1 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) (+.f64 (*.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2)) (+.f64 (*.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 2) (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 2)) (*.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 2))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) 3) (pow.f64 (pow.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 2) 3)) (*.f64 (+.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 4) (+.f64 (pow.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 4) (*.f64 (pow.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 2) (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 6) (pow.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 6)) (+.f64 -1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))) (+.f64 (pow.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 4) (+.f64 (*.f64 (pow.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 2) (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2)) (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 4))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 3) 3) (pow.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 3) 3)) (*.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 -1 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))))) (+.f64 (*.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 3)) (+.f64 (*.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 3) (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 3)) (*.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 3))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 3) 3) (pow.f64 (pow.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 3) 3)) (*.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (*.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (+.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))) (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 6) (+.f64 (pow.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 6) (*.f64 (pow.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 3) (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 3))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 3) 3) (pow.f64 (pow.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 3) 3)) (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (*.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (+.f64 -1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))))) (+.f64 (*.f64 (pow.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 3) (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 3)) (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 6) (pow.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 6))))
(/.f64 (-.f64 (*.f64 beta (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1)))
(/.f64 (-.f64 (*.f64 beta (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))))
(/.f64 (-.f64 (*.f64 beta (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)))))
(/.f64 (-.f64 (*.f64 beta (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)))))
(/.f64 (-.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1) (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1))) (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1)))
(/.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (-.f64 1 (*.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) beta)))) (*.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (/.f64 (+.f64 alpha (+.f64 beta 2)) beta)))
(/.f64 (-.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (*.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) beta))) (*.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (/.f64 (+.f64 alpha (+.f64 beta 2)) beta)))
(/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (-.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1) (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta) (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))))) (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)))))
(/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (-.f64 1 (*.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) (/.f64 (+.f64 alpha (+.f64 beta 2)) beta))))) (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2))) (/.f64 (+.f64 alpha (+.f64 beta 2)) beta)))
(/.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 (-.f64 1 (*.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) (/.f64 (+.f64 alpha (+.f64 beta 2)) beta))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2))) (*.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2))) (/.f64 (+.f64 alpha (+.f64 beta 2)) beta)))
(/.f64 (-.f64 (*.f64 (neg.f64 beta) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1)) (*.f64 (-.f64 -2 (+.f64 alpha beta)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1))) (*.f64 (-.f64 -2 (+.f64 alpha beta)) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1)))
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (neg.f64 beta)) (*.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)) (-.f64 -2 (+.f64 alpha beta)))) (*.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (-.f64 -2 (+.f64 alpha beta))))
(/.f64 (-.f64 (*.f64 beta (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) (*.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)) (-.f64 (-.f64 -2 beta) alpha))) (*.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (-.f64 (-.f64 -2 beta) alpha)))
(/.f64 (-.f64 (*.f64 (neg.f64 beta) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)))) (*.f64 (-.f64 -2 (+.f64 alpha beta)) (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))) (*.f64 (-.f64 -2 (+.f64 alpha beta)) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)))))
(/.f64 (fma.f64 (neg.f64 beta) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2))) (neg.f64 (*.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) (-.f64 -2 (+.f64 alpha beta))))) (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2))) (-.f64 -2 (+.f64 alpha beta))))
(/.f64 (-.f64 (*.f64 beta (-.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2))) (*.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) (-.f64 (-.f64 -2 beta) alpha))) (*.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2))) (-.f64 (-.f64 -2 beta) alpha)))
(pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1)
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 2)
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 3)
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))
(pow.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 3) 1/3)
(+.f64 1 (/.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))))))
(+.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)))))))
(+.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))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))
(exp.f64 (log.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))
(exp.f64 (*.f64 (log.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 1))
(+.f64 1 (/.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 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))
(fma.f64 beta (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(fma.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(fma.f64 beta (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 2) (cbrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))

localize3.0ms (0%)

Compiler

Compiled 6 to 6 computations (0% saved)

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (/.f64 beta (+.f64 beta 2)) 1)
0.0b
(/.f64 beta (+.f64 beta 2))
Compiler

Compiled 29 to 21 computations (27.6% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite79.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1986×add-sqr-sqrt
1962×*-un-lft-identity
1846×add-cube-cbrt
1832×add-cbrt-cube
178×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0832
118032
2243132
Stop Event
node limit
Counts
2 → 70
Calls
Call 1
Inputs
(/.f64 beta (+.f64 beta 2))
(+.f64 (/.f64 beta (+.f64 beta 2)) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 beta (/.f64 1 (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 beta (*.f64 (/.f64 1 (+.f64 beta 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 beta (+.f64 beta 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 beta (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (sqrt.f64 (/.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (*.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 beta) (*.f64 (sqrt.f64 beta) (/.f64 1 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (*.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 beta) 2) (*.f64 (cbrt.f64 beta) (/.f64 1 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 beta 2)) beta)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 beta) (/.f64 1 (+.f64 (neg.f64 beta) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 beta 2))) (/.f64 beta (sqrt.f64 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 beta (cbrt.f64 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 beta (fma.f64 beta beta -4)) (+.f64 beta -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 beta (+.f64 8 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 4 (*.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 beta 2))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (cbrt.f64 (/.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 beta (+.f64 beta 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 beta 2) beta) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 beta (+.f64 (neg.f64 beta) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 beta (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 beta (+.f64 beta 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 beta (+.f64 beta 2))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (sqrt.f64 (/.f64 beta (+.f64 beta 2)))) (hypot.f64 1 (sqrt.f64 (/.f64 beta (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) 2) (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) -1) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))) (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1) (+.f64 (/.f64 beta (+.f64 beta 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (/.f64 beta (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) (-.f64 1 (/.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1)) (neg.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (sqrt.f64 (/.f64 beta (+.f64 beta 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 beta (/.f64 1 (+.f64 beta 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 beta (+.f64 beta 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 1)))))

simplify59.0ms (0.3%)

Algorithm
egg-herbie
Rules
992×fma-def
832×times-frac
784×associate-/l*
770×unswap-sqr
644×associate-*r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01972706
14812460
217222280
Stop Event
node limit
Counts
94 → 133
Calls
Call 1
Inputs
(*.f64 1/2 beta)
(+.f64 (*.f64 1/2 beta) (*.f64 -1/4 (pow.f64 beta 2)))
(+.f64 (*.f64 1/2 beta) (+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/8 (pow.f64 beta 3))))
(+.f64 (*.f64 -1/16 (pow.f64 beta 4)) (+.f64 (*.f64 1/2 beta) (+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/8 (pow.f64 beta 3)))))
1
(-.f64 1 (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta))))
1
(-.f64 1 (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta))))
1
(+.f64 1 (*.f64 1/2 beta))
(+.f64 1 (+.f64 (*.f64 1/2 beta) (*.f64 -1/4 (pow.f64 beta 2))))
(+.f64 1 (+.f64 (*.f64 1/2 beta) (+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/8 (pow.f64 beta 3)))))
2
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta))))
2
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta))))
(-.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 1)
(*.f64 beta (/.f64 1 (+.f64 beta 2)))
(*.f64 beta (*.f64 (/.f64 1 (+.f64 beta 2)) 1))
(*.f64 (/.f64 beta (+.f64 beta 2)) 1)
(*.f64 1 (/.f64 beta (+.f64 beta 2)))
(*.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (sqrt.f64 (/.f64 beta (+.f64 beta 2))))
(*.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (*.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 1))
(*.f64 (sqrt.f64 beta) (*.f64 (sqrt.f64 beta) (/.f64 1 (+.f64 beta 2))))
(*.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta 2))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (*.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 1))
(*.f64 (pow.f64 (cbrt.f64 beta) 2) (*.f64 (cbrt.f64 beta) (/.f64 1 (+.f64 beta 2))))
(*.f64 (/.f64 1 (+.f64 beta 2)) beta)
(*.f64 (neg.f64 beta) (/.f64 1 (+.f64 (neg.f64 beta) -2)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta 2))) (/.f64 beta (sqrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 beta (cbrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 beta (fma.f64 beta beta -4)) (+.f64 beta -2))
(*.f64 (/.f64 beta (+.f64 8 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 4 (*.f64 beta 2))))
(*.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 beta 2)))
(*.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (+.f64 beta 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 beta 2))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (cbrt.f64 (/.f64 beta (+.f64 beta 2))))
(pow.f64 (/.f64 beta (+.f64 beta 2)) 1)
(pow.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 2)
(pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 3)
(pow.f64 (/.f64 (+.f64 beta 2) beta) -1)
(pow.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3) 1/3)
(neg.f64 (/.f64 beta (+.f64 (neg.f64 beta) -2)))
(sqrt.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2))
(log.f64 (exp.f64 (/.f64 beta (+.f64 beta 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 beta (+.f64 beta 2)))))
(cbrt.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3))
(expm1.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))))
(exp.f64 (log.f64 (/.f64 beta (+.f64 beta 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 beta (+.f64 beta 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 beta (+.f64 beta 2))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))) 1)
(-.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1)))
(*.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))
(*.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 1)
(*.f64 (hypot.f64 1 (sqrt.f64 (/.f64 beta (+.f64 beta 2)))) (hypot.f64 1 (sqrt.f64 (/.f64 beta (+.f64 beta 2)))))
(*.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) 2) (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)))
(*.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1)))
(*.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2))))))
(/.f64 1 (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) -1) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))) (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3))))
(/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1) (+.f64 (/.f64 beta (+.f64 beta 2)) -1))
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (/.f64 beta (+.f64 beta 2)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) (-.f64 1 (/.f64 beta (+.f64 beta 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1)) (neg.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) -1)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2))))))
(pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 1)
(pow.f64 (hypot.f64 1 (sqrt.f64 (/.f64 beta (+.f64 beta 2)))) 2)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)))
(exp.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)))
(fma.f64 beta (/.f64 1 (+.f64 beta 2)) 1)
(fma.f64 1 (/.f64 beta (+.f64 beta 2)) 1)
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 1)
Outputs
(*.f64 1/2 beta)
(+.f64 (*.f64 1/2 beta) (*.f64 -1/4 (pow.f64 beta 2)))
(fma.f64 1/2 beta (*.f64 -1/4 (*.f64 beta beta)))
(fma.f64 -1/4 (*.f64 beta beta) (*.f64 1/2 beta))
(*.f64 beta (+.f64 1/2 (*.f64 beta -1/4)))
(+.f64 (*.f64 1/2 beta) (+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/8 (pow.f64 beta 3))))
(fma.f64 1/2 beta (fma.f64 -1/4 (*.f64 beta beta) (*.f64 1/8 (pow.f64 beta 3))))
(fma.f64 1/2 beta (*.f64 (*.f64 beta beta) (+.f64 -1/4 (*.f64 beta 1/8))))
(+.f64 (*.f64 -1/16 (pow.f64 beta 4)) (+.f64 (*.f64 1/2 beta) (+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/8 (pow.f64 beta 3)))))
(fma.f64 -1/16 (pow.f64 beta 4) (fma.f64 1/2 beta (fma.f64 -1/4 (*.f64 beta beta) (*.f64 1/8 (pow.f64 beta 3)))))
(fma.f64 1/2 beta (fma.f64 -1/16 (pow.f64 beta 4) (*.f64 (*.f64 beta beta) (+.f64 -1/4 (*.f64 beta 1/8)))))
1
(-.f64 1 (*.f64 2 (/.f64 1 beta)))
(-.f64 1 (/.f64 2 beta))
(+.f64 1 (/.f64 -2 beta))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta)))
(+.f64 1 (-.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 2 beta)))
(+.f64 (/.f64 4 (*.f64 beta beta)) (+.f64 1 (/.f64 -2 beta)))
(+.f64 1 (+.f64 (/.f64 (/.f64 4 beta) beta) (/.f64 -2 beta)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta))))
(-.f64 (+.f64 1 (/.f64 4 (*.f64 beta beta))) (+.f64 (/.f64 2 beta) (/.f64 8 (pow.f64 beta 3))))
(-.f64 (+.f64 (/.f64 4 (*.f64 beta beta)) (+.f64 1 (/.f64 -2 beta))) (/.f64 8 (pow.f64 beta 3)))
(+.f64 1 (+.f64 (/.f64 (/.f64 4 beta) beta) (+.f64 (/.f64 -2 beta) (/.f64 -8 (pow.f64 beta 3)))))
1
(-.f64 1 (*.f64 2 (/.f64 1 beta)))
(-.f64 1 (/.f64 2 beta))
(+.f64 1 (/.f64 -2 beta))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta)))
(+.f64 1 (-.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 2 beta)))
(+.f64 (/.f64 4 (*.f64 beta beta)) (+.f64 1 (/.f64 -2 beta)))
(+.f64 1 (+.f64 (/.f64 (/.f64 4 beta) beta) (/.f64 -2 beta)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta))))
(-.f64 (+.f64 1 (/.f64 4 (*.f64 beta beta))) (+.f64 (/.f64 2 beta) (/.f64 8 (pow.f64 beta 3))))
(-.f64 (+.f64 (/.f64 4 (*.f64 beta beta)) (+.f64 1 (/.f64 -2 beta))) (/.f64 8 (pow.f64 beta 3)))
(+.f64 1 (+.f64 (/.f64 (/.f64 4 beta) beta) (+.f64 (/.f64 -2 beta) (/.f64 -8 (pow.f64 beta 3)))))
1
(+.f64 1 (*.f64 1/2 beta))
(+.f64 (*.f64 1/2 beta) 1)
(fma.f64 1/2 beta 1)
(+.f64 1 (+.f64 (*.f64 1/2 beta) (*.f64 -1/4 (pow.f64 beta 2))))
(+.f64 (fma.f64 1/2 beta (*.f64 -1/4 (*.f64 beta beta))) 1)
(+.f64 (*.f64 beta (*.f64 beta -1/4)) (fma.f64 1/2 beta 1))
(fma.f64 1/2 beta (fma.f64 beta (*.f64 beta -1/4) 1))
(+.f64 1 (+.f64 (*.f64 1/2 beta) (+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/8 (pow.f64 beta 3)))))
(+.f64 (fma.f64 1/2 beta (fma.f64 -1/4 (*.f64 beta beta) (*.f64 1/8 (pow.f64 beta 3)))) 1)
(+.f64 (fma.f64 -1/4 (*.f64 beta beta) (*.f64 1/8 (pow.f64 beta 3))) (fma.f64 1/2 beta 1))
(+.f64 (*.f64 beta (+.f64 1/2 (*.f64 beta -1/4))) (fma.f64 1/8 (pow.f64 beta 3) 1))
2
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(-.f64 2 (/.f64 2 beta))
(+.f64 2 (/.f64 -2 beta))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta)))
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(+.f64 (/.f64 4 (*.f64 beta beta)) (+.f64 2 (/.f64 -2 beta)))
(+.f64 2 (+.f64 (/.f64 (/.f64 4 beta) beta) (/.f64 -2 beta)))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta))))
(-.f64 (+.f64 2 (/.f64 4 (*.f64 beta beta))) (+.f64 (/.f64 2 beta) (/.f64 8 (pow.f64 beta 3))))
(+.f64 2 (-.f64 (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 -2 beta)) (/.f64 8 (pow.f64 beta 3))))
(+.f64 (+.f64 2 (/.f64 (/.f64 4 beta) beta)) (+.f64 (/.f64 -2 beta) (/.f64 -8 (pow.f64 beta 3))))
2
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(-.f64 2 (/.f64 2 beta))
(+.f64 2 (/.f64 -2 beta))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta)))
(+.f64 2 (-.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 2 beta)))
(+.f64 (/.f64 4 (*.f64 beta beta)) (+.f64 2 (/.f64 -2 beta)))
(+.f64 2 (+.f64 (/.f64 (/.f64 4 beta) beta) (/.f64 -2 beta)))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta))))
(-.f64 (+.f64 2 (/.f64 4 (*.f64 beta beta))) (+.f64 (/.f64 2 beta) (/.f64 8 (pow.f64 beta 3))))
(+.f64 2 (-.f64 (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 -2 beta)) (/.f64 8 (pow.f64 beta 3))))
(+.f64 (+.f64 2 (/.f64 (/.f64 4 beta) beta)) (+.f64 (/.f64 -2 beta) (/.f64 -8 (pow.f64 beta 3))))
(-.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 1)
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(/.f64 beta (+.f64 beta 2))
(*.f64 beta (/.f64 1 (+.f64 beta 2)))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(*.f64 beta (*.f64 (/.f64 1 (+.f64 beta 2)) 1))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(*.f64 (/.f64 beta (+.f64 beta 2)) 1)
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(*.f64 1 (/.f64 beta (+.f64 beta 2)))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(*.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (sqrt.f64 (/.f64 beta (+.f64 beta 2))))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
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(/.f64 beta (+.f64 beta 2))
(*.f64 (sqrt.f64 beta) (*.f64 (sqrt.f64 beta) (/.f64 1 (+.f64 beta 2))))
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(/.f64 beta (+.f64 beta 2))
(*.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2))
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(/.f64 beta (+.f64 beta 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta 2))))
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(/.f64 beta (+.f64 beta 2))
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(/.f64 beta (+.f64 beta 2))
(*.f64 (/.f64 1 (+.f64 beta 2)) beta)
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(/.f64 beta (+.f64 beta 2))
(*.f64 (neg.f64 beta) (/.f64 1 (+.f64 (neg.f64 beta) -2)))
(/.f64 (neg.f64 beta) (-.f64 -2 beta))
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(/.f64 (/.f64 beta (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)))
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(/.f64 beta (*.f64 (cbrt.f64 (+.f64 beta 2)) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)))
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(*.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 beta 2)))
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(/.f64 beta (+.f64 beta 2))
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(/.f64 beta (+.f64 beta 2))
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(pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 3)
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(/.f64 beta (+.f64 beta 2))
(pow.f64 (/.f64 (+.f64 beta 2) beta) -1)
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(/.f64 beta (+.f64 beta 2))
(pow.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3) 1/3)
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(/.f64 beta (+.f64 beta 2))
(neg.f64 (/.f64 beta (+.f64 (neg.f64 beta) -2)))
(*.f64 (neg.f64 beta) (/.f64 1 (+.f64 (neg.f64 beta) -2)))
(/.f64 (neg.f64 beta) (-.f64 -2 beta))
(sqrt.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2))
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(/.f64 beta (+.f64 beta 2))
(log.f64 (exp.f64 (/.f64 beta (+.f64 beta 2))))
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(/.f64 beta (+.f64 beta 2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 beta (+.f64 beta 2)))))
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(/.f64 beta (+.f64 beta 2))
(cbrt.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3))
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(/.f64 beta (+.f64 beta 2))
(expm1.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))))
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(/.f64 beta (+.f64 beta 2))
(exp.f64 (log.f64 (/.f64 beta (+.f64 beta 2))))
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(/.f64 beta (+.f64 beta 2))
(exp.f64 (*.f64 (log.f64 (/.f64 beta (+.f64 beta 2))) 1))
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(/.f64 beta (+.f64 beta 2))
(log1p.f64 (expm1.f64 (/.f64 beta (+.f64 beta 2))))
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(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))) 1)
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(*.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(*.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 1)
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(*.f64 (hypot.f64 1 (sqrt.f64 (/.f64 beta (+.f64 beta 2)))) (hypot.f64 1 (sqrt.f64 (/.f64 beta (+.f64 beta 2)))))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
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(pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 1)
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(pow.f64 (hypot.f64 1 (sqrt.f64 (/.f64 beta (+.f64 beta 2)))) 2)
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) 3)
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(pow.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 3) 1/3)
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(log.f64 (exp.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 3))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(exp.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))) 1))
(exp.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(fma.f64 beta (/.f64 1 (+.f64 beta 2)) 1)
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(fma.f64 1 (/.f64 beta (+.f64 beta 2)) 1)
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 1)
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 1)
(+.f64 1 (/.f64 beta (+.f64 beta 2)))

localize11.0ms (0.1%)

Compiler

Compiled 29 to 21 computations (27.6% saved)

localize74.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 beta)))
1.4b
(-.f64 (*.f64 beta beta) (*.f64 alpha alpha))
1.6b
(+.f64 (/.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (*.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 beta)))) 1)
27.0b
(/.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (*.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 beta))))
Compiler

Compiled 96 to 38 computations (60.4% saved)

series17.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

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

rewrite147.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
602×associate-+l+
488×+-commutative
394×add-sqr-sqrt
386×pow1
386×*-un-lft-identity
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
015148
1368100
26105100
Stop Event
node limit
Counts
4 → 268
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (*.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 beta))))
(+.f64 (/.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (*.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 beta)))) 1)
(-.f64 (*.f64 beta beta) (*.f64 alpha alpha))
(*.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 beta)))
Outputs
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simplify221.0ms (1.2%)

Algorithm
egg-herbie
Rules
1344×associate-*r*
1260×+-commutative
1072×associate-*l*
956×*-commutative
904×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
097920916
1330620716
Stop Event
node limit
Counts
364 → 532
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))
(+.f64 (/.f64 (*.f64 beta (+.f64 2 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))))
(+.f64 (/.f64 (*.f64 beta (+.f64 2 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (*.f64 (pow.f64 beta 2) (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 2 alpha) alpha)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2) (*.f64 (pow.f64 (+.f64 2 alpha) 3) alpha))))))
(+.f64 (/.f64 (*.f64 beta (+.f64 2 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (*.f64 2 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 3) alpha))) (/.f64 (*.f64 (+.f64 2 (*.f64 2 alpha)) (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 2 alpha) alpha)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2) (*.f64 (pow.f64 (+.f64 2 alpha) 3) alpha)))) (*.f64 (+.f64 2 alpha) alpha)))))) (+.f64 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (*.f64 (pow.f64 beta 2) (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 2 alpha) alpha)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2) (*.f64 (pow.f64 (+.f64 2 alpha) 3) alpha)))))))
1
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 1 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2) (pow.f64 beta 2))) (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))) (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 2 (*.f64 2 alpha)) (-.f64 (*.f64 -1 (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2)) (*.f64 (+.f64 2 alpha) alpha)))) (*.f64 -1 (*.f64 (+.f64 2 alpha) (*.f64 (+.f64 2 (*.f64 2 alpha)) alpha)))) (pow.f64 beta 3)))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2) (pow.f64 beta 2))) (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))
1
(+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 (*.f64 -1 alpha) (*.f64 -1 (+.f64 2 alpha))) 2) (pow.f64 beta 2))) (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (pow.f64 (+.f64 (*.f64 -1 alpha) (*.f64 -1 (+.f64 2 alpha))) 2)) (*.f64 (+.f64 2 alpha) alpha))) (+.f64 (*.f64 -1 alpha) (*.f64 -1 (+.f64 2 alpha)))) (pow.f64 beta 3)) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (*.f64 alpha (+.f64 (*.f64 -1 alpha) (*.f64 -1 (+.f64 2 alpha))))) (pow.f64 beta 3)))))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 (*.f64 -1 alpha) (*.f64 -1 (+.f64 2 alpha))) 2) (pow.f64 beta 2))) (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))
(/.f64 beta (+.f64 beta 2))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) alpha)) (/.f64 beta (+.f64 beta 2)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) alpha)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 (*.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))) (*.f64 beta (+.f64 beta 2)))) (+.f64 (/.f64 1 (*.f64 beta (+.f64 beta 2))) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2))) (/.f64 beta (+.f64 beta 2))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) alpha)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 (*.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))) (*.f64 beta (+.f64 beta 2)))) (+.f64 (/.f64 1 (*.f64 beta (+.f64 beta 2))) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 (*.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))) (*.f64 beta (+.f64 beta 2)))) (+.f64 (/.f64 1 (*.f64 beta (+.f64 beta 2))) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))) (*.f64 beta (+.f64 beta 2)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) (*.f64 beta (+.f64 beta 2))))) (pow.f64 alpha 3))) (/.f64 beta (+.f64 beta 2)))))
-1
(-.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) 1)
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (*.f64 2 (/.f64 beta alpha)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 1 (/.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 2) (pow.f64 alpha 2)))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (-.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1 (*.f64 beta (+.f64 beta 2))) (pow.f64 (+.f64 2 (*.f64 2 beta)) 2)))) (*.f64 (+.f64 2 (*.f64 2 beta)) (*.f64 beta (+.f64 beta 2)))) (pow.f64 alpha 3))) (*.f64 2 (/.f64 beta alpha))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 1 (/.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 2) (pow.f64 alpha 2)))))
-1
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (+.f64 beta 2))) alpha)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (+.f64 beta 2))) alpha)) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (pow.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (+.f64 beta 2))) 2) (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) 1)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (+.f64 beta 2))) alpha)) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (+.f64 beta 2))) (-.f64 (pow.f64 beta 2) (+.f64 (pow.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (+.f64 beta 2))) 2) (*.f64 -1 (*.f64 beta (+.f64 beta 2)))))) (pow.f64 alpha 3)) (/.f64 (*.f64 beta (*.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2))) (pow.f64 alpha 3))))) (+.f64 (/.f64 (pow.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (+.f64 beta 2))) 2) (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) 1)))
(-.f64 1 (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 1 (*.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 2 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) beta)) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 1 (+.f64 (*.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 2 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) beta) (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 2 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 2 (*.f64 2 alpha))) (*.f64 (+.f64 2 alpha) alpha))) (+.f64 (/.f64 1 (*.f64 (+.f64 2 alpha) alpha)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))))) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 (*.f64 (pow.f64 beta 3) (-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 2 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (+.f64 2 alpha) alpha))) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 alpha)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 2 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 2 (*.f64 2 alpha))) (*.f64 (+.f64 2 alpha) alpha))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (+.f64 2 alpha) alpha)))) (+.f64 (*.f64 2 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha))) (*.f64 2 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))))))) (+.f64 1 (+.f64 (*.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 2 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) beta) (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 2 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 2 (*.f64 2 alpha))) (*.f64 (+.f64 2 alpha) alpha))) (+.f64 (/.f64 1 (*.f64 (+.f64 2 alpha) alpha)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))))) (/.f64 alpha (+.f64 2 alpha)))
2
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2)
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2)) (+.f64 (pow.f64 alpha 2) (*.f64 (+.f64 2 alpha) alpha))) (pow.f64 beta 2))) 2))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2)) (+.f64 (pow.f64 alpha 2) (*.f64 (+.f64 2 alpha) alpha))) (pow.f64 beta 2))) (+.f64 2 (/.f64 (*.f64 (+.f64 2 (*.f64 2 alpha)) (pow.f64 alpha 2)) (pow.f64 beta 3))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (*.f64 (+.f64 2 (*.f64 2 alpha)) alpha)) (pow.f64 beta 3))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2)) (*.f64 (+.f64 2 alpha) alpha)) (+.f64 2 (*.f64 2 alpha))) (pow.f64 beta 3)))))
2
(+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta))))
(+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 (+.f64 (*.f64 -1 alpha) (*.f64 -1 (+.f64 2 alpha))) 2)) (+.f64 (pow.f64 alpha 2) (*.f64 (+.f64 2 alpha) alpha))) (pow.f64 beta 2))) (+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)))))
(+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 (+.f64 (*.f64 -1 alpha) (*.f64 -1 (+.f64 2 alpha))) 2)) (+.f64 (pow.f64 alpha 2) (*.f64 (+.f64 2 alpha) alpha))) (pow.f64 beta 2))) (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (*.f64 -1 (/.f64 (-.f64 (*.f64 (pow.f64 alpha 2) (+.f64 (*.f64 -1 alpha) (*.f64 -1 (+.f64 2 alpha)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 2 alpha) (*.f64 alpha (+.f64 (*.f64 -1 alpha) (*.f64 -1 (+.f64 2 alpha)))))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (pow.f64 (+.f64 (*.f64 -1 alpha) (*.f64 -1 (+.f64 2 alpha))) 2)) (*.f64 (+.f64 2 alpha) alpha)) (+.f64 (*.f64 -1 alpha) (*.f64 -1 (+.f64 2 alpha))))))) (pow.f64 beta 3)))))))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) alpha)) (+.f64 1 (/.f64 beta (+.f64 beta 2))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) alpha)) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 (*.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))) (*.f64 beta (+.f64 beta 2)))) (+.f64 (/.f64 1 (*.f64 beta (+.f64 beta 2))) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2))) (/.f64 beta (+.f64 beta 2)))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) alpha)) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 (*.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))) (*.f64 beta (+.f64 beta 2)))) (+.f64 (/.f64 1 (*.f64 beta (+.f64 beta 2))) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2))) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 2 (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (*.f64 2 (/.f64 1 (*.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 (*.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))) (*.f64 beta (+.f64 beta 2)))) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (+.f64 2 (*.f64 2 beta))) (*.f64 beta (+.f64 beta 2)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) (*.f64 beta (+.f64 beta 2)))))) (pow.f64 alpha 3)) (/.f64 beta (+.f64 beta 2))))))
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 (*.f64 beta (+.f64 beta 2)) (*.f64 -1 (pow.f64 (+.f64 2 (*.f64 2 beta)) 2)))) (pow.f64 alpha 3))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))))))) (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 2 (*.f64 2 beta))) (pow.f64 alpha 3)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 3))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 (*.f64 -1 (*.f64 beta (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)))) (*.f64 -1 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 (*.f64 beta (+.f64 beta 2)) (*.f64 -1 (pow.f64 (+.f64 2 (*.f64 2 beta)) 2))))))) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 (*.f64 beta (+.f64 beta 2)) (*.f64 -1 (pow.f64 (+.f64 2 (*.f64 2 beta)) 2)))) (pow.f64 alpha 3))) (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 -1 (/.f64 (*.f64 beta (*.f64 (+.f64 (*.f64 beta (+.f64 beta 2)) (*.f64 -1 (pow.f64 (+.f64 2 (*.f64 2 beta)) 2))) (+.f64 beta 2))) (pow.f64 alpha 4))))))))))) (+.f64 (/.f64 (*.f64 (pow.f64 beta 3) (+.f64 beta 2)) (pow.f64 alpha 4)) (+.f64 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (pow.f64 beta 2)) (pow.f64 alpha 3)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 (*.f64 2 beta)) 2)) (pow.f64 alpha 4))))))
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (+.f64 beta 2))) alpha))
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(+.f64 (*.f64 (+.f64 beta alpha) beta) (+.f64 (*.f64 (+.f64 beta alpha) 2) (*.f64 alpha (+.f64 beta alpha))))
(+.f64 (*.f64 (+.f64 beta alpha) 2) (pow.f64 (+.f64 beta alpha) 2))
(+.f64 (*.f64 (+.f64 beta alpha) (+.f64 alpha 2)) (*.f64 (+.f64 beta alpha) beta))
(+.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 beta (+.f64 beta (+.f64 alpha 2))))
(+.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 alpha (+.f64 beta (+.f64 alpha 2))))
(+.f64 (*.f64 beta (+.f64 beta 2)) (+.f64 (*.f64 alpha (+.f64 beta 2)) (*.f64 alpha (+.f64 beta alpha))))
(+.f64 (*.f64 beta (+.f64 beta alpha)) (*.f64 (+.f64 alpha 2) (+.f64 beta alpha)))
(+.f64 (*.f64 beta (+.f64 beta alpha)) (+.f64 (*.f64 2 (+.f64 beta alpha)) (*.f64 alpha (+.f64 beta alpha))))
(+.f64 (*.f64 2 (+.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) 2))
(+.f64 (*.f64 (+.f64 alpha 2) (+.f64 beta alpha)) (*.f64 beta (+.f64 beta alpha)))
(+.f64 (*.f64 (*.f64 alpha (+.f64 beta alpha)) 1) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta 2)) 1))
(+.f64 (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta 2)) 1) (*.f64 (*.f64 alpha (+.f64 beta alpha)) 1))
(+.f64 (+.f64 (*.f64 alpha (+.f64 beta alpha)) (*.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 beta 2) beta))
(+.f64 (+.f64 (*.f64 alpha (+.f64 beta alpha)) (*.f64 alpha (+.f64 beta 2))) (*.f64 beta (+.f64 beta 2)))
(+.f64 (+.f64 (*.f64 alpha (+.f64 beta alpha)) (*.f64 (+.f64 beta 2) beta)) (*.f64 alpha (+.f64 beta 2)))
(+.f64 (+.f64 (*.f64 alpha (+.f64 beta alpha)) (*.f64 (+.f64 beta alpha) 2)) (*.f64 (+.f64 beta alpha) beta))
(+.f64 (+.f64 (*.f64 alpha (+.f64 beta alpha)) (*.f64 beta (+.f64 beta 2))) (*.f64 alpha (+.f64 beta 2)))
(+.f64 (+.f64 (*.f64 alpha (+.f64 beta alpha)) (*.f64 2 (+.f64 beta alpha))) (*.f64 beta (+.f64 beta alpha)))
(+.f64 (+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta 2)) (*.f64 alpha alpha)) (*.f64 beta alpha))
(+.f64 (+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta 2)) (*.f64 beta alpha)) (*.f64 alpha alpha))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 1)
(/.f64 (*.f64 (+.f64 beta alpha) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (-.f64 alpha beta) 2))
(/.f64 (*.f64 (+.f64 beta alpha) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)))))
(/.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 (*.f64 alpha alpha) (*.f64 beta beta))) (-.f64 alpha beta))
(/.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (pow.f64 alpha 3) (pow.f64 beta 3))) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))))
(/.f64 (*.f64 (-.f64 (*.f64 alpha alpha) (*.f64 beta beta)) (+.f64 beta (+.f64 alpha 2))) (-.f64 alpha beta))
(/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 beta 3)) (+.f64 beta (+.f64 alpha 2))) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))))
(/.f64 (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta alpha)) (-.f64 (-.f64 alpha beta) 2))
(/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (+.f64 beta alpha)) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)))))
(/.f64 (-.f64 (*.f64 (*.f64 alpha (+.f64 beta alpha)) (*.f64 alpha (+.f64 beta alpha))) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta 2)) (*.f64 (+.f64 beta alpha) (+.f64 beta 2)))) (-.f64 (*.f64 alpha (+.f64 beta alpha)) (*.f64 (+.f64 beta alpha) (+.f64 beta 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 alpha (+.f64 beta alpha)) 3) (pow.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta 2)) 3)) (+.f64 (*.f64 (*.f64 alpha (+.f64 beta alpha)) (*.f64 alpha (+.f64 beta alpha))) (-.f64 (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta 2)) (*.f64 (+.f64 beta alpha) (+.f64 beta 2))) (*.f64 (*.f64 alpha (+.f64 beta alpha)) (*.f64 (+.f64 beta alpha) (+.f64 beta 2))))))
(/.f64 (*.f64 (-.f64 (*.f64 alpha alpha) (*.f64 beta beta)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (-.f64 alpha beta) (-.f64 (-.f64 alpha beta) 2)))
(/.f64 (*.f64 (-.f64 (*.f64 alpha alpha) (*.f64 beta beta)) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (*.f64 (-.f64 alpha beta) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha))))))
(/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 beta 3)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))) (-.f64 (-.f64 alpha beta) 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 beta 3)) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (*.f64 (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha))))))
(/.f64 (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (-.f64 (*.f64 alpha alpha) (*.f64 beta beta))) (*.f64 (-.f64 (-.f64 alpha beta) 2) (-.f64 alpha beta)))
(/.f64 (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (pow.f64 alpha 3) (pow.f64 beta 3))) (*.f64 (-.f64 (-.f64 alpha beta) 2) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha)))))
(/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (-.f64 (*.f64 alpha alpha) (*.f64 beta beta))) (*.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)))) (-.f64 alpha beta)))
(/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (+.f64 (pow.f64 alpha 3) (pow.f64 beta 3))) (*.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)))) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha)))))
(pow.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)
(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)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 beta (+.f64 alpha 2))) (+.f64 beta alpha)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 beta alpha) 3) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3) (pow.f64 (+.f64 beta alpha) 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)))))
(fma.f64 alpha (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta 2)))
(fma.f64 (+.f64 beta alpha) alpha (*.f64 (+.f64 beta alpha) (+.f64 beta 2)))
Outputs
(*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))
(/.f64 (neg.f64 alpha) (+.f64 alpha 2))
(+.f64 (/.f64 (*.f64 beta (+.f64 2 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))))
(+.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 beta (/.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 2 (*.f64 alpha 2)))))
(+.f64 (/.f64 (*.f64 beta (+.f64 2 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (*.f64 (pow.f64 beta 2) (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 2 alpha) alpha)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2) (*.f64 (pow.f64 (+.f64 2 alpha) 3) alpha))))))
(+.f64 (/.f64 beta (/.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 2 (*.f64 alpha 2)))) (fma.f64 -1 (/.f64 alpha (+.f64 alpha 2)) (*.f64 (+.f64 (/.f64 1 (*.f64 alpha (+.f64 alpha 2))) (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (pow.f64 (+.f64 2 (*.f64 alpha 2)) 2) (*.f64 alpha (pow.f64 (+.f64 alpha 2) 3))))) (*.f64 beta beta))))
(+.f64 (/.f64 beta (/.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 2 (*.f64 alpha 2)))) (fma.f64 -1 (/.f64 alpha (+.f64 alpha 2)) (*.f64 (-.f64 (+.f64 (/.f64 (/.f64 1 alpha) (+.f64 alpha 2)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (pow.f64 (+.f64 2 (*.f64 alpha 2)) 2) (*.f64 alpha (pow.f64 (+.f64 alpha 2) 3)))) (*.f64 beta beta))))
(+.f64 (/.f64 (*.f64 beta (+.f64 2 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (*.f64 2 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 3) alpha))) (/.f64 (*.f64 (+.f64 2 (*.f64 2 alpha)) (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 2 alpha) alpha)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2) (*.f64 (pow.f64 (+.f64 2 alpha) 3) alpha)))) (*.f64 (+.f64 2 alpha) alpha)))))) (+.f64 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (*.f64 (pow.f64 beta 2) (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 2 alpha) alpha)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2) (*.f64 (pow.f64 (+.f64 2 alpha) 3) alpha)))))))
(+.f64 (/.f64 beta (/.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 2 (*.f64 alpha 2)))) (fma.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 2 (pow.f64 (+.f64 alpha 2) 3)) (+.f64 (/.f64 2 (*.f64 alpha (pow.f64 (+.f64 alpha 2) 3))) (*.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) (+.f64 alpha 2)) (/.f64 (+.f64 (/.f64 1 (*.f64 alpha (+.f64 alpha 2))) (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (pow.f64 (+.f64 2 (*.f64 alpha 2)) 2) (*.f64 alpha (pow.f64 (+.f64 alpha 2) 3))))) alpha))))) (fma.f64 -1 (/.f64 alpha (+.f64 alpha 2)) (*.f64 (+.f64 (/.f64 1 (*.f64 alpha (+.f64 alpha 2))) (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (pow.f64 (+.f64 2 (*.f64 alpha 2)) 2) (*.f64 alpha (pow.f64 (+.f64 alpha 2) 3))))) (*.f64 beta beta)))))
(+.f64 (/.f64 beta (/.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 2 (*.f64 alpha 2)))) (fma.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 (/.f64 2 alpha) (pow.f64 (+.f64 alpha 2) 3)) (+.f64 (*.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) (+.f64 alpha 2)) (/.f64 (-.f64 (+.f64 (/.f64 (/.f64 1 alpha) (+.f64 alpha 2)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (pow.f64 (+.f64 2 (*.f64 alpha 2)) 2) (*.f64 alpha (pow.f64 (+.f64 alpha 2) 3)))) alpha)) (/.f64 2 (pow.f64 (+.f64 alpha 2) 3))))) (fma.f64 -1 (/.f64 alpha (+.f64 alpha 2)) (*.f64 (-.f64 (+.f64 (/.f64 (/.f64 1 alpha) (+.f64 alpha 2)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (pow.f64 (+.f64 2 (*.f64 alpha 2)) 2) (*.f64 alpha (pow.f64 (+.f64 alpha 2) 3)))) (*.f64 beta beta)))))
1
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 1)
(fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 1 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2) (pow.f64 beta 2))) (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))
(-.f64 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) (+.f64 1 (neg.f64 (/.f64 (*.f64 alpha alpha) (*.f64 beta beta))))) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 (*.f64 alpha 2)) 2) (*.f64 beta beta)) (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha))))
(-.f64 (+.f64 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 1) (neg.f64 (/.f64 (/.f64 (*.f64 alpha alpha) beta) beta))) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 (*.f64 alpha 2)) 2) (*.f64 beta beta)) (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))) (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 2 (*.f64 2 alpha)) (-.f64 (*.f64 -1 (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2)) (*.f64 (+.f64 2 alpha) alpha)))) (*.f64 -1 (*.f64 (+.f64 2 alpha) (*.f64 (+.f64 2 (*.f64 2 alpha)) alpha)))) (pow.f64 beta 3)))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2) (pow.f64 beta 2))) (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))
(-.f64 (+.f64 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 1) (*.f64 -1 (+.f64 (/.f64 (*.f64 alpha alpha) (*.f64 beta beta)) (/.f64 (fma.f64 (+.f64 2 (*.f64 alpha 2)) (-.f64 (neg.f64 (*.f64 alpha alpha)) (fma.f64 -1 (pow.f64 (+.f64 2 (*.f64 alpha 2)) 2) (*.f64 alpha (+.f64 alpha 2)))) (*.f64 (+.f64 -2 (neg.f64 alpha)) (*.f64 alpha (+.f64 2 (*.f64 alpha 2))))) (pow.f64 beta 3))))) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 (*.f64 alpha 2)) 2) (*.f64 beta beta)) (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha))))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 1) (-.f64 (*.f64 -1 (+.f64 (/.f64 (/.f64 (*.f64 alpha alpha) beta) beta) (/.f64 (fma.f64 (+.f64 2 (*.f64 alpha 2)) (-.f64 (neg.f64 (*.f64 alpha alpha)) (fma.f64 -1 (pow.f64 (+.f64 2 (*.f64 alpha 2)) 2) (*.f64 alpha (+.f64 alpha 2)))) (*.f64 (*.f64 alpha (-.f64 -2 alpha)) (+.f64 2 (*.f64 alpha 2)))) (pow.f64 beta 3)))) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 (*.f64 alpha 2)) 2) (*.f64 beta beta)) (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)))))
1
(+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta))))
(fma.f64 -1 (/.f64 alpha beta) (+.f64 1 (/.f64 (+.f64 -2 (neg.f64 alpha)) beta)))
(fma.f64 -1 (/.f64 alpha beta) (+.f64 1 (/.f64 (-.f64 -2 alpha) beta)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 (*.f64 -1 alpha) (*.f64 -1 (+.f64 2 alpha))) 2) (pow.f64 beta 2))) (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))
(-.f64 (fma.f64 -1 (/.f64 alpha beta) (+.f64 1 (*.f64 -1 (+.f64 (/.f64 (+.f64 alpha 2) beta) (/.f64 (*.f64 alpha alpha) (*.f64 beta beta)))))) (fma.f64 -1 (/.f64 (pow.f64 (*.f64 -1 (+.f64 alpha (+.f64 alpha 2))) 2) (*.f64 beta beta)) (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha))))
(-.f64 (fma.f64 -1 (/.f64 alpha beta) (+.f64 (+.f64 1 (neg.f64 (/.f64 (/.f64 (*.f64 alpha alpha) beta) beta))) (/.f64 (-.f64 -2 alpha) beta))) (fma.f64 -1 (/.f64 (pow.f64 (fma.f64 -1 alpha (-.f64 -2 alpha)) 2) (*.f64 beta beta)) (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (pow.f64 (+.f64 (*.f64 -1 alpha) (*.f64 -1 (+.f64 2 alpha))) 2)) (*.f64 (+.f64 2 alpha) alpha))) (+.f64 (*.f64 -1 alpha) (*.f64 -1 (+.f64 2 alpha)))) (pow.f64 beta 3)) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (*.f64 alpha (+.f64 (*.f64 -1 alpha) (*.f64 -1 (+.f64 2 alpha))))) (pow.f64 beta 3)))))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 (*.f64 -1 alpha) (*.f64 -1 (+.f64 2 alpha))) 2) (pow.f64 beta 2))) (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))
(-.f64 (fma.f64 -1 (/.f64 alpha beta) (+.f64 1 (fma.f64 -1 (/.f64 (+.f64 alpha 2) beta) (fma.f64 -1 (/.f64 (*.f64 alpha alpha) (*.f64 beta beta)) (+.f64 (/.f64 (-.f64 (neg.f64 (*.f64 alpha alpha)) (fma.f64 -1 (pow.f64 (*.f64 -1 (+.f64 alpha (+.f64 alpha 2))) 2) (*.f64 alpha (+.f64 alpha 2)))) (/.f64 (pow.f64 beta 3) (*.f64 -1 (+.f64 alpha (+.f64 alpha 2))))) (neg.f64 (/.f64 (*.f64 (+.f64 alpha 2) (*.f64 alpha (*.f64 -1 (+.f64 alpha (+.f64 alpha 2))))) (pow.f64 beta 3)))))))) (fma.f64 -1 (/.f64 (pow.f64 (*.f64 -1 (+.f64 alpha (+.f64 alpha 2))) 2) (*.f64 beta beta)) (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha))))
(-.f64 (+.f64 (fma.f64 -1 (/.f64 alpha beta) (+.f64 1 (/.f64 (-.f64 -2 alpha) beta))) (fma.f64 -1 (/.f64 (/.f64 (*.f64 alpha alpha) beta) beta) (+.f64 (/.f64 (-.f64 (neg.f64 (*.f64 alpha alpha)) (fma.f64 -1 (pow.f64 (fma.f64 -1 alpha (-.f64 -2 alpha)) 2) (*.f64 alpha (+.f64 alpha 2)))) (/.f64 (pow.f64 beta 3) (fma.f64 -1 alpha (-.f64 -2 alpha)))) (/.f64 (-.f64 -2 alpha) (/.f64 (pow.f64 beta 3) (*.f64 alpha (fma.f64 -1 alpha (-.f64 -2 alpha)))))))) (fma.f64 -1 (/.f64 (pow.f64 (fma.f64 -1 alpha (-.f64 -2 alpha)) 2) (*.f64 beta beta)) (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha))))
(/.f64 beta (+.f64 beta 2))
(/.f64 beta (+.f64 2 beta))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) alpha)) (/.f64 beta (+.f64 beta 2)))
(fma.f64 -1 (*.f64 alpha (fma.f64 2 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 2 (pow.f64 (+.f64 2 beta) 2)))) (/.f64 beta (+.f64 2 beta)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) alpha)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 (*.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))) (*.f64 beta (+.f64 beta 2)))) (+.f64 (/.f64 1 (*.f64 beta (+.f64 beta 2))) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2))) (/.f64 beta (+.f64 beta 2))))
(fma.f64 -1 (*.f64 alpha (fma.f64 2 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 2 (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 -1 (*.f64 (fma.f64 -1 (*.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) beta) (/.f64 (fma.f64 2 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 2 (pow.f64 (+.f64 2 beta) 2))) (+.f64 2 beta))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (/.f64 1 beta) (+.f64 2 beta)))) (*.f64 alpha alpha)) (/.f64 beta (+.f64 2 beta))))
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-1
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2
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2)
(fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2)
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2
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(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
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(/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (+.f64 beta alpha)) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)))))
(/.f64 (+.f64 alpha beta) (/.f64 (fma.f64 alpha alpha (*.f64 (+.f64 2 beta) (+.f64 beta (-.f64 2 alpha)))) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3))))
(/.f64 (*.f64 (+.f64 alpha beta) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3))) (fma.f64 alpha alpha (*.f64 (+.f64 2 beta) (+.f64 2 (-.f64 beta alpha)))))
(/.f64 (-.f64 (*.f64 (*.f64 alpha (+.f64 beta alpha)) (*.f64 alpha (+.f64 beta alpha))) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta 2)) (*.f64 (+.f64 beta alpha) (+.f64 beta 2)))) (-.f64 (*.f64 alpha (+.f64 beta alpha)) (*.f64 (+.f64 beta alpha) (+.f64 beta 2))))
(/.f64 (-.f64 (*.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha beta) 2)) (*.f64 (pow.f64 (+.f64 alpha beta) 2) (pow.f64 (+.f64 2 beta) 2))) (-.f64 (*.f64 alpha (+.f64 alpha beta)) (*.f64 (+.f64 2 beta) (+.f64 alpha beta))))
(/.f64 (-.f64 (*.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha beta) 2)) (*.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 (+.f64 alpha beta) 2))) (fma.f64 alpha (+.f64 alpha beta) (neg.f64 (*.f64 (+.f64 2 beta) (+.f64 alpha beta)))))
(/.f64 (+.f64 (pow.f64 (*.f64 alpha (+.f64 beta alpha)) 3) (pow.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta 2)) 3)) (+.f64 (*.f64 (*.f64 alpha (+.f64 beta alpha)) (*.f64 alpha (+.f64 beta alpha))) (-.f64 (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta 2)) (*.f64 (+.f64 beta alpha) (+.f64 beta 2))) (*.f64 (*.f64 alpha (+.f64 beta alpha)) (*.f64 (+.f64 beta alpha) (+.f64 beta 2))))))
(/.f64 (+.f64 (pow.f64 (*.f64 alpha (+.f64 alpha beta)) 3) (pow.f64 (*.f64 (+.f64 2 beta) (+.f64 alpha beta)) 3)) (+.f64 (*.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha beta) 2)) (*.f64 (*.f64 (+.f64 2 beta) (+.f64 alpha beta)) (-.f64 (*.f64 (+.f64 2 beta) (+.f64 alpha beta)) (*.f64 alpha (+.f64 alpha beta))))))
(/.f64 (*.f64 (-.f64 (*.f64 alpha alpha) (*.f64 beta beta)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (-.f64 alpha beta) (-.f64 (-.f64 alpha beta) 2)))
(*.f64 (/.f64 (-.f64 (*.f64 alpha alpha) (*.f64 beta beta)) (-.f64 alpha beta)) (/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2)) (+.f64 (-.f64 alpha beta) -2)))
(*.f64 (/.f64 (-.f64 (*.f64 alpha alpha) (*.f64 beta beta)) (-.f64 alpha beta)) (/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2)) (-.f64 alpha (+.f64 2 beta))))
(/.f64 (*.f64 (-.f64 (*.f64 alpha alpha) (*.f64 beta beta)) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (*.f64 (-.f64 alpha beta) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha))))))
(*.f64 (/.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3)) (fma.f64 alpha alpha (*.f64 (+.f64 2 beta) (+.f64 beta (-.f64 2 alpha))))) (/.f64 (-.f64 (*.f64 alpha alpha) (*.f64 beta beta)) (-.f64 alpha beta)))
(*.f64 (/.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3)) (fma.f64 alpha alpha (*.f64 (+.f64 2 beta) (+.f64 2 (-.f64 beta alpha))))) (/.f64 (-.f64 (*.f64 alpha alpha) (*.f64 beta beta)) (-.f64 alpha beta)))
(/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 beta 3)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))) (-.f64 (-.f64 alpha beta) 2)))
(*.f64 (/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha)))) (/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2)) (+.f64 (-.f64 alpha beta) -2)))
(/.f64 (*.f64 (/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2)) (-.f64 alpha (+.f64 2 beta))) (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))))
(/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 beta 3)) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (*.f64 (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha))))))
(*.f64 (/.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3)) (fma.f64 alpha alpha (*.f64 (+.f64 2 beta) (+.f64 beta (-.f64 2 alpha))))) (/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha)))))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3)) (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha)))) (fma.f64 alpha alpha (*.f64 (+.f64 2 beta) (+.f64 2 (-.f64 beta alpha)))))
(/.f64 (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (-.f64 (*.f64 alpha alpha) (*.f64 beta beta))) (*.f64 (-.f64 (-.f64 alpha beta) 2) (-.f64 alpha beta)))
(*.f64 (/.f64 (-.f64 (*.f64 alpha alpha) (*.f64 beta beta)) (-.f64 alpha beta)) (/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2)) (+.f64 (-.f64 alpha beta) -2)))
(*.f64 (/.f64 (-.f64 (*.f64 alpha alpha) (*.f64 beta beta)) (-.f64 alpha beta)) (/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2)) (-.f64 alpha (+.f64 2 beta))))
(/.f64 (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (pow.f64 alpha 3) (pow.f64 beta 3))) (*.f64 (-.f64 (-.f64 alpha beta) 2) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha)))))
(*.f64 (/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha)))) (/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2)) (+.f64 (-.f64 alpha beta) -2)))
(/.f64 (*.f64 (/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2)) (-.f64 alpha (+.f64 2 beta))) (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))))
(/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (-.f64 (*.f64 alpha alpha) (*.f64 beta beta))) (*.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)))) (-.f64 alpha beta)))
(*.f64 (/.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3)) (fma.f64 alpha alpha (*.f64 (+.f64 2 beta) (+.f64 beta (-.f64 2 alpha))))) (/.f64 (-.f64 (*.f64 alpha alpha) (*.f64 beta beta)) (-.f64 alpha beta)))
(*.f64 (/.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3)) (fma.f64 alpha alpha (*.f64 (+.f64 2 beta) (+.f64 2 (-.f64 beta alpha))))) (/.f64 (-.f64 (*.f64 alpha alpha) (*.f64 beta beta)) (-.f64 alpha beta)))
(/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (+.f64 (pow.f64 alpha 3) (pow.f64 beta 3))) (*.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)))) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha)))))
(*.f64 (/.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3)) (fma.f64 alpha alpha (*.f64 (+.f64 2 beta) (+.f64 beta (-.f64 2 alpha))))) (/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha)))))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3)) (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha)))) (fma.f64 alpha alpha (*.f64 (+.f64 2 beta) (+.f64 2 (-.f64 beta alpha)))))
(pow.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)
(*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 alpha beta))
(*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha beta))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 alpha beta))) 2)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha beta))) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3)
(*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 alpha beta))
(*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha beta))
(pow.f64 (pow.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 1/3)
(*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 alpha beta))
(*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha beta))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 alpha beta)) 2))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha beta)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 beta (+.f64 alpha 2))) (+.f64 beta alpha)))
(*.f64 (+.f64 alpha beta) (log.f64 (exp.f64 (+.f64 (+.f64 alpha beta) 2))))
(*.f64 (+.f64 alpha beta) (log.f64 (exp.f64 (+.f64 alpha (+.f64 2 beta)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 alpha beta))
(*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha beta))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))
(*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 alpha beta))
(*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha beta))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 beta alpha) 3) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3)))
(*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 alpha beta))
(*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha beta))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3) (pow.f64 (+.f64 beta alpha) 3)))
(*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 alpha beta))
(*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha beta))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 alpha beta))
(*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha beta))
(exp.f64 (log.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 alpha beta))
(*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha beta))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1))
(*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 alpha beta))
(*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha beta))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 alpha beta))
(*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha beta))
(fma.f64 alpha (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta 2)))
(*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 alpha beta))
(*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha beta))
(fma.f64 (+.f64 beta alpha) alpha (*.f64 (+.f64 beta alpha) (+.f64 beta 2)))
(*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 alpha beta))
(*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha beta))

eval980.0ms (5.4%)

Compiler

Compiled 49462 to 32456 computations (34.4% saved)

prune413.0ms (2.3%)

Pruning

16 alts after pruning (11 fresh and 5 done)

PrunedKeptTotal
New129481302
Fresh235
Picked101
Done055
Total1297161313
Error
0.0b
Counts
1313 → 16
Alt Table
Click to see full alt table
StatusErrorProgram
44.0b
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
32.7b
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (pow.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 2)) (*.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (/.f64 (+.f64 alpha (+.f64 beta 2)) beta))) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (*.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) beta))))) 2)
16.8b
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) 1) (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))))) 2)
16.8b
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) (-.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)))) 2)
16.8b
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
17.4b
(/.f64 (-.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) 2)
46.9b
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
31.4b
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
31.9b
(/.f64 (+.f64 (/.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (*.f64 beta (+.f64 beta 2))) 1) 2)
17.4b
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
18.4b
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
33.6b
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
61.5b
(/.f64 (+.f64 -1 1) 2)
32.5b
(/.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 2)) (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1))) 2)
42.1b
(/.f64 2 2)
45.7b
(*.f64 1/2 (+.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) (/.f64 (-.f64 (neg.f64 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2))) (*.f64 alpha alpha))))
Compiler

Compiled 767 to 569 computations (25.8% saved)

localize112.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)
0.0b
(*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))
0.1b
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)
1.6b
(-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) 1)
Compiler

Compiled 344 to 240 computations (30.2% saved)

series29.0ms (0.2%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
5.0ms
alpha
@-inf
(-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) 1)
3.0ms
alpha
@inf
(-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) 1)
2.0ms
beta
@0
(-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) 1)
2.0ms
alpha
@0
(*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))
1.0ms
alpha
@0
(-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) 1)

rewrite189.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1248×distribute-lft-in
1244×associate-/r*
872×associate-/l*
614×associate-/r/
330×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
014106
1334106
24443106
Stop Event
node limit
Counts
4 → 458
Calls
Call 1
Inputs
(-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) 1)
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)
(*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)
Outputs
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9))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))))))

simplify371.0ms (2%)

Algorithm
egg-herbie
Rules
1682×associate-*r/
1354×+-commutative
1222×associate-+r+
728×*-commutative
630×associate-+l+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0161245686
1508845234
Stop Event
node limit
Counts
554 → 897
Calls
Call 1
Inputs
-1
(-.f64 (/.f64 (pow.f64 alpha 6) (pow.f64 (+.f64 beta 2) 6)) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 6) (pow.f64 (+.f64 beta 2) 6)) (*.f64 -2 (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2))) (pow.f64 alpha 7)) (pow.f64 (+.f64 beta 2) 9)))) 1)
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (/.f64 (+.f64 beta (+.f64 6 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 9))) (+.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 12)) (*.f64 -2 (/.f64 (*.f64 (+.f64 (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 3)) (*.f64 (pow.f64 (+.f64 beta 2) 3) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2))))) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2)))) (pow.f64 (+.f64 beta 2) 15))))) (pow.f64 alpha 8))) (+.f64 (/.f64 (pow.f64 alpha 6) (pow.f64 (+.f64 beta 2) 6)) (*.f64 -2 (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2))) (pow.f64 alpha 7)) (pow.f64 (+.f64 beta 2) 9))))) 1)
(*.f64 -1 (/.f64 (+.f64 12 (+.f64 (*.f64 4 beta) (*.f64 2 beta))) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 -1 (pow.f64 (+.f64 12 (+.f64 (*.f64 4 beta) (*.f64 2 beta))) 2)) (+.f64 (*.f64 2 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2))) (pow.f64 (+.f64 beta (+.f64 6 (*.f64 2 beta))) 2)))) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (+.f64 12 (+.f64 (*.f64 4 beta) (*.f64 2 beta))) alpha)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 -1 (pow.f64 (+.f64 12 (+.f64 (*.f64 4 beta) (*.f64 2 beta))) 2)) (+.f64 (*.f64 2 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2))) (pow.f64 (+.f64 beta (+.f64 6 (*.f64 2 beta))) 2)))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 -1 (pow.f64 (+.f64 12 (+.f64 (*.f64 4 beta) (*.f64 2 beta))) 2)) (+.f64 (*.f64 2 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2))) (pow.f64 (+.f64 beta (+.f64 6 (*.f64 2 beta))) 2)))) (+.f64 12 (+.f64 (*.f64 4 beta) (*.f64 2 beta))))) (+.f64 (*.f64 2 (*.f64 (+.f64 beta (+.f64 6 (*.f64 2 beta))) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2))))) (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 3)) (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 2 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2))) (pow.f64 (+.f64 beta (+.f64 6 (*.f64 2 beta))) 2))) (+.f64 12 (+.f64 (*.f64 4 beta) (*.f64 2 beta)))))))) (pow.f64 alpha 3))) (*.f64 -1 (/.f64 (+.f64 12 (+.f64 (*.f64 4 beta) (*.f64 2 beta))) alpha))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 -1 (pow.f64 (+.f64 12 (+.f64 (*.f64 4 beta) (*.f64 2 beta))) 2)) (+.f64 (*.f64 2 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2))) (pow.f64 (+.f64 beta (+.f64 6 (*.f64 2 beta))) 2)))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 -1 (pow.f64 (+.f64 12 (+.f64 (*.f64 4 beta) (*.f64 2 beta))) 2)) (+.f64 (*.f64 2 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2))) (pow.f64 (+.f64 beta (+.f64 6 (*.f64 2 beta))) 2)))) (+.f64 12 (+.f64 (*.f64 4 beta) (*.f64 2 beta))))) (+.f64 (*.f64 2 (*.f64 (+.f64 beta (+.f64 6 (*.f64 2 beta))) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2))))) (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 3)) (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 2 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2))) (pow.f64 (+.f64 beta (+.f64 6 (*.f64 2 beta))) 2))) (+.f64 12 (+.f64 (*.f64 4 beta) (*.f64 2 beta)))))))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 beta (+.f64 6 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 -1 (pow.f64 (+.f64 12 (+.f64 (*.f64 4 beta) (*.f64 2 beta))) 2)) (+.f64 (*.f64 2 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2))) (pow.f64 (+.f64 beta (+.f64 6 (*.f64 2 beta))) 2)))) (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 2 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2))) (pow.f64 (+.f64 beta (+.f64 6 (*.f64 2 beta))) 2))))) (+.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2))) 2) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 -1 (pow.f64 (+.f64 12 (+.f64 (*.f64 4 beta) (*.f64 2 beta))) 2)) (+.f64 (*.f64 2 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2))) (pow.f64 (+.f64 beta (+.f64 6 (*.f64 2 beta))) 2)))) (+.f64 12 (+.f64 (*.f64 4 beta) (*.f64 2 beta))))) (+.f64 (*.f64 2 (*.f64 (+.f64 beta (+.f64 6 (*.f64 2 beta))) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2))))) (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 3)) (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 2 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2))) (pow.f64 (+.f64 beta (+.f64 6 (*.f64 2 beta))) 2))) (+.f64 12 (+.f64 (*.f64 4 beta) (*.f64 2 beta)))))))) (+.f64 12 (+.f64 (*.f64 4 beta) (*.f64 2 beta))))) (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 beta (+.f64 6 (*.f64 2 beta))) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2))))) (*.f64 2 (pow.f64 (+.f64 beta 2) 3))) (+.f64 12 (+.f64 (*.f64 4 beta) (*.f64 2 beta))))))))) (pow.f64 alpha 4))) (*.f64 -1 (/.f64 (+.f64 12 (+.f64 (*.f64 4 beta) (*.f64 2 beta))) alpha)))))
(*.f64 -2 (/.f64 (+.f64 beta (+.f64 2 (*.f64 2 (+.f64 beta 2)))) alpha))
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1
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1
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1
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1
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(/.f64 (/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) (sqrt.f64 alpha))) (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) (sqrt.f64 alpha)))
(/.f64 (/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) (pow.f64 (cbrt.f64 alpha) 2))) (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) (cbrt.f64 alpha)))
(/.f64 (/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2) 1)) (/.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) alpha))
(/.f64 (/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2) (sqrt.f64 alpha))) (/.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) (sqrt.f64 alpha)))
(/.f64 (/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2) (pow.f64 (cbrt.f64 alpha) 2))) (/.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) (cbrt.f64 alpha)))
(/.f64 (/.f64 (pow.f64 alpha 3) (+.f64 alpha (+.f64 beta 2))) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))
(/.f64 (/.f64 (pow.f64 alpha 3) 1) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3))
(/.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (+.f64 alpha (+.f64 beta 2)))
(/.f64 (/.f64 (pow.f64 alpha 3) (sqrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3))) (sqrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3)))
(/.f64 (/.f64 (pow.f64 alpha 3) (*.f64 (+.f64 alpha (+.f64 beta 2)) (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (/.f64 (pow.f64 alpha 3) (*.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) 1)) (+.f64 alpha (+.f64 beta 2)))
(/.f64 (/.f64 (pow.f64 alpha 3) (*.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))) (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (pow.f64 alpha 3) (*.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2))) (cbrt.f64 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3/2)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3/2))
(/.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) 3)) (pow.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) 3))
(/.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2) 3)) (+.f64 alpha (+.f64 beta 2)))
(/.f64 (/.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) alpha) 1) (+.f64 alpha (+.f64 beta 2)))
(/.f64 (/.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) alpha) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) alpha) (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2))
(/.f64 (/.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) alpha) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (cbrt.f64 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) alpha) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (-.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) alpha) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha))))))
(/.f64 (/.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (neg.f64 alpha)) 1) (-.f64 -2 (+.f64 alpha beta)))
(/.f64 (/.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (neg.f64 alpha)) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (neg.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (/.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (neg.f64 alpha)) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (neg.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (/.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (neg.f64 alpha)) -1) (+.f64 alpha (+.f64 beta 2)))
(/.f64 (/.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (neg.f64 alpha)) (sqrt.f64 (-.f64 -2 (+.f64 alpha beta)))) (sqrt.f64 (-.f64 -2 (+.f64 alpha beta))))
(/.f64 (/.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (neg.f64 alpha)) (*.f64 (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))) (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))))) (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))))
(/.f64 (/.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (neg.f64 alpha)) (neg.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))) (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (neg.f64 alpha)) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2))) (cbrt.f64 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (*.f64 alpha (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)) 1) (+.f64 alpha (+.f64 beta 2)))
(/.f64 (/.f64 (*.f64 alpha (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (*.f64 alpha (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)) (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2))
(/.f64 (/.f64 (*.f64 alpha (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (cbrt.f64 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (*.f64 alpha (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (-.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (*.f64 alpha (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha))))))
(/.f64 (/.f64 (*.f64 (neg.f64 alpha) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)) 1) (-.f64 -2 (+.f64 alpha beta)))
(/.f64 (/.f64 (*.f64 (neg.f64 alpha) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (neg.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (/.f64 (*.f64 (neg.f64 alpha) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (neg.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (/.f64 (*.f64 (neg.f64 alpha) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)) -1) (+.f64 alpha (+.f64 beta 2)))
(/.f64 (/.f64 (*.f64 (neg.f64 alpha) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)) (sqrt.f64 (-.f64 -2 (+.f64 alpha beta)))) (sqrt.f64 (-.f64 -2 (+.f64 alpha beta))))
(/.f64 (/.f64 (*.f64 (neg.f64 alpha) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)) (*.f64 (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))) (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))))) (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))))
(/.f64 (/.f64 (*.f64 (neg.f64 alpha) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)) (neg.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))) (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (*.f64 (neg.f64 alpha) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2))) (cbrt.f64 (+.f64 alpha (+.f64 beta 2))))
(sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))
(fabs.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))
(log.f64 (exp.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))))
(cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 9))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))
(exp.f64 (*.f64 3 (log.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))
Outputs
-1
(-.f64 (/.f64 (pow.f64 alpha 6) (pow.f64 (+.f64 beta 2) 6)) 1)
(+.f64 (/.f64 (pow.f64 alpha 6) (pow.f64 (+.f64 beta 2) 6)) -1)
(+.f64 -1 (/.f64 (pow.f64 alpha 6) (pow.f64 (+.f64 beta 2) 6)))
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 6) (pow.f64 (+.f64 beta 2) 6)) (*.f64 -2 (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2))) (pow.f64 alpha 7)) (pow.f64 (+.f64 beta 2) 9)))) 1)
(+.f64 (/.f64 (pow.f64 alpha 6) (pow.f64 (+.f64 beta 2) 6)) (-.f64 (*.f64 -2 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 2) (+.f64 4 (*.f64 beta 2)))) (/.f64 (pow.f64 (+.f64 beta 2) 9) (pow.f64 alpha 7)))) 1))
(+.f64 (/.f64 (pow.f64 alpha 6) (pow.f64 (+.f64 beta 2) 6)) (+.f64 (/.f64 (*.f64 -2 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 2) (+.f64 4 (*.f64 beta 2))))) (/.f64 (pow.f64 (+.f64 beta 2) 9) (pow.f64 alpha 7))) -1))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (/.f64 (+.f64 beta (+.f64 6 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 9))) (+.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 12)) (*.f64 -2 (/.f64 (*.f64 (+.f64 (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 3)) (*.f64 (pow.f64 (+.f64 beta 2) 3) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2))))) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2)))) (pow.f64 (+.f64 beta 2) 15))))) (pow.f64 alpha 8))) (+.f64 (/.f64 (pow.f64 alpha 6) (pow.f64 (+.f64 beta 2) 6)) (*.f64 -2 (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2))) (pow.f64 alpha 7)) (pow.f64 (+.f64 beta 2) 9))))) 1)
(+.f64 (fma.f64 -1 (*.f64 (pow.f64 alpha 8) (fma.f64 2 (/.f64 (+.f64 beta (+.f64 6 (*.f64 beta 2))) (pow.f64 (+.f64 beta 2) 9)) (fma.f64 -2 (/.f64 (fma.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 2) (+.f64 4 (*.f64 beta 2)))) (pow.f64 (+.f64 beta 2) 3) (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 2) (+.f64 4 (*.f64 beta 2)))) (pow.f64 (+.f64 beta 2) 3))) (/.f64 (pow.f64 (+.f64 beta 2) 15) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 2) (+.f64 4 (*.f64 beta 2)))))) (/.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 2) (+.f64 4 (*.f64 beta 2)))) 2) (pow.f64 (+.f64 beta 2) 12))))) (+.f64 (/.f64 (pow.f64 alpha 6) (pow.f64 (+.f64 beta 2) 6)) (*.f64 -2 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 2) (+.f64 4 (*.f64 beta 2)))) (/.f64 (pow.f64 (+.f64 beta 2) 9) (pow.f64 alpha 7)))))) -1)
(+.f64 -1 (fma.f64 -1 (*.f64 (pow.f64 alpha 8) (fma.f64 2 (/.f64 (+.f64 (+.f64 beta (*.f64 beta 2)) 6) (pow.f64 (+.f64 beta 2) 9)) (fma.f64 -2 (/.f64 (fma.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 2) (+.f64 4 (*.f64 beta 2)))) (pow.f64 (+.f64 beta 2) 3) (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 2) (+.f64 4 (*.f64 beta 2)))) (pow.f64 (+.f64 beta 2) 3))) (/.f64 (pow.f64 (+.f64 beta 2) 15) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 2) (+.f64 4 (*.f64 beta 2)))))) (/.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 2) (+.f64 4 (*.f64 beta 2)))) 2) (pow.f64 (+.f64 beta 2) 12))))) (+.f64 (/.f64 (pow.f64 alpha 6) (pow.f64 (+.f64 beta 2) 6)) (/.f64 (*.f64 -2 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 2) (+.f64 4 (*.f64 beta 2))))) (/.f64 (pow.f64 (+.f64 beta 2) 9) (pow.f64 alpha 7))))))
(*.f64 -1 (/.f64 (+.f64 12 (+.f64 (*.f64 4 beta) (*.f64 2 beta))) alpha))
(neg.f64 (/.f64 (+.f64 12 (*.f64 beta 6)) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 -1 (pow.f64 (+.f64 12 (+.f64 (*.f64 4 beta) (*.f64 2 beta))) 2)) (+.f64 (*.f64 2 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2))) (pow.f64 (+.f64 beta (+.f64 6 (*.f64 2 beta))) 2)))) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (+.f64 12 (+.f64 (*.f64 4 beta) (*.f64 2 beta))) alpha)))
(*.f64 -1 (+.f64 (/.f64 (fma.f64 2 (pow.f64 (+.f64 beta 2) 2) (fma.f64 -1 (pow.f64 (+.f64 12 (*.f64 beta 6)) 2) (fma.f64 2 (*.f64 (+.f64 beta 2) (+.f64 4 (*.f64 beta 2))) (pow.f64 (+.f64 beta (+.f64 6 (*.f64 beta 2))) 2)))) (*.f64 alpha alpha)) (/.f64 (+.f64 12 (*.f64 beta 6)) alpha)))
(*.f64 -1 (+.f64 (/.f64 (+.f64 12 (*.f64 beta 6)) alpha) (/.f64 (fma.f64 2 (pow.f64 (+.f64 beta 2) 2) (fma.f64 -1 (pow.f64 (+.f64 12 (*.f64 beta 6)) 2) (fma.f64 2 (*.f64 (+.f64 beta 2) (+.f64 4 (*.f64 beta 2))) (pow.f64 (+.f64 (+.f64 beta (*.f64 beta 2)) 6) 2)))) (*.f64 alpha alpha))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 -1 (pow.f64 (+.f64 12 (+.f64 (*.f64 4 beta) (*.f64 2 beta))) 2)) (+.f64 (*.f64 2 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2))) (pow.f64 (+.f64 beta (+.f64 6 (*.f64 2 beta))) 2)))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 -1 (pow.f64 (+.f64 12 (+.f64 (*.f64 4 beta) (*.f64 2 beta))) 2)) (+.f64 (*.f64 2 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2))) (pow.f64 (+.f64 beta (+.f64 6 (*.f64 2 beta))) 2)))) (+.f64 12 (+.f64 (*.f64 4 beta) (*.f64 2 beta))))) (+.f64 (*.f64 2 (*.f64 (+.f64 beta (+.f64 6 (*.f64 2 beta))) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2))))) (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 3)) (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 2 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2))) (pow.f64 (+.f64 beta (+.f64 6 (*.f64 2 beta))) 2))) (+.f64 12 (+.f64 (*.f64 4 beta) (*.f64 2 beta)))))))) (pow.f64 alpha 3))) (*.f64 -1 (/.f64 (+.f64 12 (+.f64 (*.f64 4 beta) (*.f64 2 beta))) alpha))))
(fma.f64 -1 (/.f64 (fma.f64 2 (pow.f64 (+.f64 beta 2) 2) (fma.f64 -1 (pow.f64 (+.f64 12 (*.f64 beta 6)) 2) (fma.f64 2 (*.f64 (+.f64 beta 2) (+.f64 4 (*.f64 beta 2))) (pow.f64 (+.f64 beta (+.f64 6 (*.f64 beta 2))) 2)))) (*.f64 alpha alpha)) (*.f64 -1 (+.f64 (/.f64 (fma.f64 -1 (*.f64 (+.f64 12 (*.f64 beta 6)) (fma.f64 2 (pow.f64 (+.f64 beta 2) 2) (fma.f64 -1 (pow.f64 (+.f64 12 (*.f64 beta 6)) 2) (fma.f64 2 (*.f64 (+.f64 beta 2) (+.f64 4 (*.f64 beta 2))) (pow.f64 (+.f64 beta (+.f64 6 (*.f64 beta 2))) 2))))) (fma.f64 2 (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 2) (+.f64 4 (*.f64 beta 2)))) (+.f64 beta (+.f64 6 (*.f64 beta 2)))) (fma.f64 2 (pow.f64 (+.f64 beta 2) 3) (neg.f64 (*.f64 (+.f64 12 (*.f64 beta 6)) (fma.f64 2 (pow.f64 (+.f64 beta 2) 2) (fma.f64 2 (*.f64 (+.f64 beta 2) (+.f64 4 (*.f64 beta 2))) (pow.f64 (+.f64 beta (+.f64 6 (*.f64 beta 2))) 2)))))))) (pow.f64 alpha 3)) (/.f64 (+.f64 12 (*.f64 beta 6)) alpha))))
(fma.f64 -1 (/.f64 (fma.f64 2 (pow.f64 (+.f64 beta 2) 2) (fma.f64 -1 (pow.f64 (+.f64 12 (*.f64 beta 6)) 2) (fma.f64 2 (*.f64 (+.f64 beta 2) (+.f64 4 (*.f64 beta 2))) (pow.f64 (+.f64 (+.f64 beta (*.f64 beta 2)) 6) 2)))) (*.f64 alpha alpha)) (*.f64 -1 (+.f64 (/.f64 (+.f64 12 (*.f64 beta 6)) alpha) (/.f64 (fma.f64 -1 (*.f64 (+.f64 12 (*.f64 beta 6)) (fma.f64 2 (pow.f64 (+.f64 beta 2) 2) (fma.f64 -1 (pow.f64 (+.f64 12 (*.f64 beta 6)) 2) (fma.f64 2 (*.f64 (+.f64 beta 2) (+.f64 4 (*.f64 beta 2))) (pow.f64 (+.f64 (+.f64 beta (*.f64 beta 2)) 6) 2))))) (fma.f64 2 (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 2) (+.f64 4 (*.f64 beta 2)))) (+.f64 (+.f64 beta (*.f64 beta 2)) 6)) (fma.f64 2 (pow.f64 (+.f64 beta 2) 3) (neg.f64 (*.f64 (+.f64 12 (*.f64 beta 6)) (fma.f64 2 (pow.f64 (+.f64 beta 2) 2) (fma.f64 2 (*.f64 (+.f64 beta 2) (+.f64 4 (*.f64 beta 2))) (pow.f64 (+.f64 (+.f64 beta (*.f64 beta 2)) 6) 2)))))))) (pow.f64 alpha 3)))))
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(*.f64 -2 (/.f64 (+.f64 (+.f64 beta (*.f64 beta 2)) 6) alpha))
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(/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))
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1
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1
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1
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(/.f64 (/.f64 (pow.f64 alpha 3) (*.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2))) (cbrt.f64 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (pow.f64 alpha 3) (*.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) (*.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))))
(/.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (*.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)))
(/.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3/2)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3/2))
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)
(/.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) 3)) (pow.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) 3))
(/.f64 (pow.f64 alpha 3) (*.f64 (pow.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) 3)))
(/.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2) 3)) (+.f64 alpha (+.f64 beta 2)))
(/.f64 (pow.f64 alpha 3) (*.f64 (+.f64 alpha (+.f64 beta 2)) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2) 3)))
(/.f64 (/.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) alpha) 1) (+.f64 alpha (+.f64 beta 2)))
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)
(/.f64 (/.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) alpha) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (pow.f64 alpha 3) (*.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) (*.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))))
(/.f64 (/.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) alpha) (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2))
(*.f64 (/.f64 alpha (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)))
(/.f64 (/.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) alpha) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (cbrt.f64 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (pow.f64 alpha 3) (*.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) (*.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))))
(/.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (*.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)))
(/.f64 (/.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) alpha) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (-.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 alpha (/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2))) (/.f64 1 (-.f64 (-.f64 alpha beta) 2)))
(/.f64 (/.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) alpha) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha))))))
(*.f64 (/.f64 (/.f64 alpha (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2))) 1) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)))))
(*.f64 (/.f64 (/.f64 alpha (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2))) 1) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 2 (-.f64 beta alpha)))))
(/.f64 (/.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (neg.f64 alpha)) 1) (-.f64 -2 (+.f64 alpha beta)))
(*.f64 (neg.f64 alpha) (/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (-.f64 -2 (+.f64 alpha beta))))
(*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 (neg.f64 alpha) (-.f64 -2 (+.f64 alpha beta))))
(/.f64 (/.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (neg.f64 alpha)) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (neg.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (neg.f64 alpha)) (*.f64 (neg.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (/.f64 (pow.f64 (neg.f64 alpha) 3) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (*.f64 (neg.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (/.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (neg.f64 alpha)) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (neg.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (neg.f64 alpha)) (*.f64 (neg.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)))
(/.f64 (/.f64 (pow.f64 (neg.f64 alpha) 3) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (*.f64 (neg.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)))
(/.f64 (/.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (neg.f64 alpha)) -1) (+.f64 alpha (+.f64 beta 2)))
(/.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (neg.f64 alpha)) (*.f64 (+.f64 alpha (+.f64 beta 2)) -1))
(/.f64 (/.f64 (pow.f64 (neg.f64 alpha) 3) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (*.f64 (+.f64 alpha (+.f64 beta 2)) -1))
(/.f64 (/.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (neg.f64 alpha)) (sqrt.f64 (-.f64 -2 (+.f64 alpha beta)))) (sqrt.f64 (-.f64 -2 (+.f64 alpha beta))))
(/.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (neg.f64 alpha)) (*.f64 (sqrt.f64 (-.f64 -2 (+.f64 alpha beta))) (sqrt.f64 (-.f64 -2 (+.f64 alpha beta)))))
(/.f64 (/.f64 (pow.f64 (neg.f64 alpha) 3) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (*.f64 (sqrt.f64 (-.f64 -2 (+.f64 alpha beta))) (sqrt.f64 (-.f64 -2 (+.f64 alpha beta)))))
(/.f64 (/.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (neg.f64 alpha)) (*.f64 (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))) (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))))) (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))))
(/.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (neg.f64 alpha)) (*.f64 (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))) (*.f64 (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))) (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))))))
(/.f64 (/.f64 (pow.f64 (neg.f64 alpha) 3) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (*.f64 (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))) (*.f64 (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))) (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))))))
(/.f64 (/.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (neg.f64 alpha)) (neg.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))) (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (neg.f64 alpha)) (*.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) (neg.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))))
(/.f64 (/.f64 (pow.f64 (neg.f64 alpha) 3) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (*.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) (neg.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))))
(/.f64 (/.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (neg.f64 alpha)) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2))) (cbrt.f64 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (neg.f64 alpha)) (*.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2))))
(/.f64 (/.f64 (pow.f64 (neg.f64 alpha) 3) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (*.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2))))
(/.f64 (/.f64 (*.f64 alpha (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)) 1) (+.f64 alpha (+.f64 beta 2)))
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)
(/.f64 (/.f64 (*.f64 alpha (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (pow.f64 alpha 3) (*.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) (*.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))))
(/.f64 (/.f64 (*.f64 alpha (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)) (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2))
(*.f64 (/.f64 alpha (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)))
(/.f64 (/.f64 (*.f64 alpha (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (cbrt.f64 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (pow.f64 alpha 3) (*.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) (*.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))))
(/.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (*.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)))
(/.f64 (/.f64 (*.f64 alpha (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (-.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 alpha (/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2))) (/.f64 1 (-.f64 (-.f64 alpha beta) 2)))
(/.f64 (/.f64 (*.f64 alpha (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha))))))
(*.f64 (/.f64 (/.f64 alpha (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2))) 1) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)))))
(*.f64 (/.f64 (/.f64 alpha (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2))) 1) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 2 (-.f64 beta alpha)))))
(/.f64 (/.f64 (*.f64 (neg.f64 alpha) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)) 1) (-.f64 -2 (+.f64 alpha beta)))
(*.f64 (neg.f64 alpha) (/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (-.f64 -2 (+.f64 alpha beta))))
(*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 (neg.f64 alpha) (-.f64 -2 (+.f64 alpha beta))))
(/.f64 (/.f64 (*.f64 (neg.f64 alpha) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (neg.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (neg.f64 alpha)) (*.f64 (neg.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (/.f64 (pow.f64 (neg.f64 alpha) 3) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (*.f64 (neg.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (/.f64 (*.f64 (neg.f64 alpha) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (neg.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (neg.f64 alpha)) (*.f64 (neg.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)))
(/.f64 (/.f64 (pow.f64 (neg.f64 alpha) 3) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (*.f64 (neg.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)))
(/.f64 (/.f64 (*.f64 (neg.f64 alpha) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)) -1) (+.f64 alpha (+.f64 beta 2)))
(/.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (neg.f64 alpha)) (*.f64 (+.f64 alpha (+.f64 beta 2)) -1))
(/.f64 (/.f64 (pow.f64 (neg.f64 alpha) 3) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (*.f64 (+.f64 alpha (+.f64 beta 2)) -1))
(/.f64 (/.f64 (*.f64 (neg.f64 alpha) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)) (sqrt.f64 (-.f64 -2 (+.f64 alpha beta)))) (sqrt.f64 (-.f64 -2 (+.f64 alpha beta))))
(/.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (neg.f64 alpha)) (*.f64 (sqrt.f64 (-.f64 -2 (+.f64 alpha beta))) (sqrt.f64 (-.f64 -2 (+.f64 alpha beta)))))
(/.f64 (/.f64 (pow.f64 (neg.f64 alpha) 3) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (*.f64 (sqrt.f64 (-.f64 -2 (+.f64 alpha beta))) (sqrt.f64 (-.f64 -2 (+.f64 alpha beta)))))
(/.f64 (/.f64 (*.f64 (neg.f64 alpha) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)) (*.f64 (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))) (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))))) (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))))
(/.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (neg.f64 alpha)) (*.f64 (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))) (*.f64 (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))) (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))))))
(/.f64 (/.f64 (pow.f64 (neg.f64 alpha) 3) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (*.f64 (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))) (*.f64 (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))) (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))))))
(/.f64 (/.f64 (*.f64 (neg.f64 alpha) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)) (neg.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))) (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (neg.f64 alpha)) (*.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) (neg.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))))
(/.f64 (/.f64 (pow.f64 (neg.f64 alpha) 3) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (*.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) (neg.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))))
(/.f64 (/.f64 (*.f64 (neg.f64 alpha) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2))) (cbrt.f64 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (neg.f64 alpha)) (*.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2))))
(/.f64 (/.f64 (pow.f64 (neg.f64 alpha) 3) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (*.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2))))
(sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))
(fabs.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))
(log.f64 (exp.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))))
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)
(cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 9))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)
(exp.f64 (*.f64 3 (log.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))))
(pow.f64 (exp.f64 3) (log.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) 1))
(pow.f64 (exp.f64 3) (log.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)

localize7.0ms (0%)

Compiler

Compiled 13 to 13 computations (0% saved)

localize8.0ms (0%)

Compiler

Compiled 19 to 15 computations (21.1% saved)

localize22.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
0.0b
(+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
1.7b
(-.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)
Compiler

Compiled 65 to 38 computations (41.5% saved)

series3.0ms (0%)

Counts
3 → 72
Calls

18 calls:

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

rewrite171.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1642×associate-/l*
1222×associate-/r/
404×+-commutative
318×associate-+l+
318×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01293
129587
2456487
Stop Event
node limit
Counts
3 → 178
Calls
Call 1
Inputs
(-.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)
(+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
Outputs
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beta alpha) (+.f64 beta (+.f64 2 alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))))))))

simplify183.0ms (1%)

Algorithm
egg-herbie
Rules
878×+-commutative
838×distribute-lft-in
788×associate-*r*
754×distribute-rgt-in
736×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
073119128
1236519026
Stop Event
node limit
Counts
250 → 477
Calls
Call 1
Inputs
(-.f64 1 (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) 1) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))))) (/.f64 alpha (+.f64 2 alpha)))
2
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))))
2
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 2 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta))))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2)))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2))))))
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(-.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))) (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)))
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))))) (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 4) (*.f64 beta (pow.f64 (+.f64 beta 2) 3))) (pow.f64 alpha 4))) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))))
(-.f64 2 (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) 2) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 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 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 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 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))))) (/.f64 alpha (+.f64 2 alpha)))
3
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 3)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 3 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 3 (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))))
3
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 3) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) 3)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 3 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta))))
(+.f64 2 (/.f64 beta (+.f64 beta 2)))
(+.f64 2 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2))))
(+.f64 2 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2)))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (+.f64 2 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2))))))
1
(+.f64 1 (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))))
(-.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))))) (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)))
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))))) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))
1
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) 1)
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(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 2 alpha))) (*.f64 (+.f64 beta (+.f64 2 alpha)) alpha)) (*.f64 (+.f64 beta (+.f64 2 alpha)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2)))) (-.f64 beta (+.f64 2 alpha)))
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 2 alpha))) (*.f64 (+.f64 beta (+.f64 2 alpha)) alpha)) (*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3)))) (fma.f64 beta beta (*.f64 (+.f64 2 alpha) (-.f64 (+.f64 2 alpha) beta))))
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 2 alpha))) (*.f64 (+.f64 beta (+.f64 2 alpha)) alpha)) (*.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 beta (+.f64 2 alpha)))) (-.f64 beta (+.f64 2 alpha)))
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 2 alpha))) (*.f64 (+.f64 beta (+.f64 2 alpha)) alpha)) (*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3)) (+.f64 beta (+.f64 2 alpha)))) (fma.f64 beta beta (*.f64 (+.f64 2 alpha) (-.f64 (+.f64 2 alpha) beta))))
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 2 alpha))) (*.f64 (+.f64 beta (+.f64 2 alpha)) alpha)) (*.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3)))) (*.f64 (-.f64 beta (+.f64 2 alpha)) (fma.f64 beta beta (*.f64 (+.f64 2 alpha) (-.f64 (+.f64 2 alpha) beta)))))
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 2 alpha))) (*.f64 (+.f64 beta (+.f64 2 alpha)) alpha)) (*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (fma.f64 beta beta (*.f64 (+.f64 2 alpha) (-.f64 (+.f64 2 alpha) beta))) (-.f64 beta (+.f64 2 alpha))))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) 3)
(pow.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (-.f64 beta alpha)) -1)
(pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 3) 1/3)
(neg.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 3))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))))
(exp.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))))
Outputs
(-.f64 1 (/.f64 alpha (+.f64 2 alpha)))
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) 1) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (/.f64 alpha (+.f64 alpha 2)))
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (*.f64 (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (*.f64 beta beta))) (/.f64 alpha (+.f64 alpha 2)))
(+.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (fma.f64 (*.f64 beta beta) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))))) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (fma.f64 (*.f64 beta beta) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)))))) (/.f64 alpha (+.f64 alpha 2)))
(+.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (-.f64 (fma.f64 (*.f64 beta beta) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3))))) (/.f64 alpha (+.f64 alpha 2))))
2
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2)
(fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(-.f64 (+.f64 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2) (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha))) (neg.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2) (-.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)) (neg.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))))
(-.f64 (+.f64 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2) (+.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)) (neg.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) alpha))))) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2) (-.f64 (+.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)) (/.f64 (*.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 beta 3))) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)))))
2
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(-.f64 (fma.f64 -1 (/.f64 alpha beta) 2) (+.f64 (/.f64 alpha beta) (/.f64 2 beta)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta))))
(-.f64 (fma.f64 -1 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) (-.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (fma.f64 -1 (/.f64 alpha beta) 2)) (+.f64 (/.f64 alpha beta) (/.f64 2 beta)))
(-.f64 (fma.f64 -1 (*.f64 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (*.f64 beta beta)) (+.f64 alpha 2)) (fma.f64 -1 (/.f64 alpha beta) 2)) (+.f64 (/.f64 alpha beta) (/.f64 2 beta)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 2 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta))))
(-.f64 (fma.f64 -1 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) (-.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (+.f64 (fma.f64 -1 (/.f64 alpha beta) 2) (/.f64 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))) (pow.f64 beta 3)))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta)))
(-.f64 (+.f64 (fma.f64 -1 (*.f64 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (*.f64 beta beta)) (+.f64 alpha 2)) (fma.f64 -1 (/.f64 alpha beta) 2)) (*.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3)) (-.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta)))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(+.f64 1 (/.f64 beta (+.f64 2 beta)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2))))
(+.f64 1 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (/.f64 beta (+.f64 2 beta))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2)))))
(+.f64 1 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3))) (*.f64 alpha alpha) (/.f64 beta (+.f64 2 beta)))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2))))))
(fma.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4)))) (+.f64 1 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3))) (*.f64 alpha alpha) (/.f64 beta (+.f64 2 beta))))))
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(-.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))) (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)))
(-.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 2 alpha))) (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))))
(-.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 2 alpha))) (*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 2 beta)))
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))
(+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (-.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 2 alpha))) (+.f64 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (neg.f64 (/.f64 beta (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2)))))))
(+.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 2 alpha))) (-.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 2 beta)) (/.f64 (neg.f64 beta) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2))))))
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))))) (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))))
(+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (-.f64 (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4)) (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 2 alpha)))) (+.f64 (+.f64 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (neg.f64 (/.f64 beta (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 2 beta) 3))))))
(+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (-.f64 (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4)) (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 2 alpha)))) (+.f64 (/.f64 (neg.f64 beta) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2))) (+.f64 (*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 2 beta)) (*.f64 (/.f64 beta (pow.f64 alpha 4)) (pow.f64 (+.f64 2 beta) 3))))))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha))
(neg.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))))
(*.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))
(+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (fma.f64 -1 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (fma.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)) (/.f64 beta (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2))))))
(+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (fma.f64 -1 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (fma.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)) (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)))))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 4) (*.f64 beta (pow.f64 (+.f64 beta 2) 3))) (pow.f64 alpha 4))) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))))
(+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (fma.f64 -1 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (fma.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)) (fma.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 4) (*.f64 beta (pow.f64 (+.f64 2 beta) 3))) (pow.f64 alpha 4)) (/.f64 beta (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2)))))))
(+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (fma.f64 -1 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (fma.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)) (fma.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 4) (*.f64 beta (pow.f64 (+.f64 2 beta) 3))) (pow.f64 alpha 4)) (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2))))))
(-.f64 2 (/.f64 alpha (+.f64 2 alpha)))
(-.f64 2 (/.f64 alpha (+.f64 alpha 2)))
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) 2) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 2) (/.f64 alpha (+.f64 alpha 2)))
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 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 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 2) (*.f64 (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (*.f64 beta beta))) (/.f64 alpha (+.f64 alpha 2)))
(+.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 2) (fma.f64 (*.f64 beta beta) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))
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3
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3
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1
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1
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1
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1
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(/.f64 (-.f64 (*.f64 beta (+.f64 alpha (+.f64 2 beta))) (*.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (/.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta))))))
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 2 alpha))) (*.f64 (+.f64 beta (+.f64 2 alpha)) alpha)) (*.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 beta (+.f64 2 alpha)))) (-.f64 beta (+.f64 2 alpha)))
(*.f64 (-.f64 beta (+.f64 alpha 2)) (/.f64 (-.f64 (*.f64 beta (+.f64 (+.f64 2 beta) alpha)) (*.f64 alpha (+.f64 (+.f64 2 beta) alpha))) (*.f64 (+.f64 (+.f64 2 beta) alpha) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))))
(*.f64 (-.f64 (-.f64 beta 2) alpha) (/.f64 (-.f64 (*.f64 beta (+.f64 alpha (+.f64 2 beta))) (*.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (*.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))))
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 2 alpha))) (*.f64 (+.f64 beta (+.f64 2 alpha)) alpha)) (*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3)) (+.f64 beta (+.f64 2 alpha)))) (fma.f64 beta beta (*.f64 (+.f64 2 alpha) (-.f64 (+.f64 2 alpha) beta))))
(*.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 2 (-.f64 alpha beta)))) (/.f64 (-.f64 (*.f64 beta (+.f64 (+.f64 2 beta) alpha)) (*.f64 alpha (+.f64 (+.f64 2 beta) alpha))) (*.f64 (+.f64 (+.f64 2 beta) alpha) (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)))))
(/.f64 (-.f64 (*.f64 beta (+.f64 alpha (+.f64 2 beta))) (*.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (/.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta))))))
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 2 alpha))) (*.f64 (+.f64 beta (+.f64 2 alpha)) alpha)) (*.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3)))) (*.f64 (-.f64 beta (+.f64 2 alpha)) (fma.f64 beta beta (*.f64 (+.f64 2 alpha) (-.f64 (+.f64 2 alpha) beta)))))
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 (+.f64 2 beta) alpha)) (*.f64 alpha (+.f64 (+.f64 2 beta) alpha))) (*.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)))) (*.f64 (-.f64 beta (+.f64 alpha 2)) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 2 (-.f64 alpha beta))))))
(*.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))) (*.f64 (-.f64 (-.f64 beta 2) alpha) (/.f64 (-.f64 (*.f64 beta (+.f64 alpha (+.f64 2 beta))) (*.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (*.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))))))
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 2 alpha))) (*.f64 (+.f64 beta (+.f64 2 alpha)) alpha)) (*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (fma.f64 beta beta (*.f64 (+.f64 2 alpha) (-.f64 (+.f64 2 alpha) beta))) (-.f64 beta (+.f64 2 alpha))))
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 (+.f64 2 beta) alpha)) (*.f64 alpha (+.f64 (+.f64 2 beta) alpha))) (*.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)))) (*.f64 (-.f64 beta (+.f64 alpha 2)) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 2 (-.f64 alpha beta))))))
(*.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))) (*.f64 (-.f64 (-.f64 beta 2) alpha) (/.f64 (-.f64 (*.f64 beta (+.f64 alpha (+.f64 2 beta))) (*.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (*.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))))))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 1)
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) 2)
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) 3)
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (-.f64 beta alpha)) -1)
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 3) 1/3)
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(neg.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))
(*.f64 (neg.f64 (-.f64 beta alpha)) (/.f64 1 (-.f64 -2 (+.f64 alpha beta))))
(/.f64 (neg.f64 (-.f64 beta alpha)) (-.f64 (-.f64 -2 beta) alpha))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)) 2))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))))))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 3))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(exp.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) 1))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))

localize44.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(pow.f64 (+.f64 beta 2) 2)
0.0b
(-.f64 (neg.f64 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2)))
1.0b
(+.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) (/.f64 (-.f64 (neg.f64 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2))) (*.f64 alpha alpha)))
3.4b
(/.f64 (-.f64 (neg.f64 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2))) (*.f64 alpha alpha))
Compiler

Compiled 121 to 83 computations (31.4% saved)

series11.0ms (0.1%)

Counts
4 → 72
Calls

18 calls:

TimeVariablePointExpression
5.0ms
alpha
@inf
(+.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) (/.f64 (-.f64 (neg.f64 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2))) (*.f64 alpha alpha)))
1.0ms
alpha
@0
(/.f64 (-.f64 (neg.f64 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2))) (*.f64 alpha alpha))
1.0ms
beta
@0
(/.f64 (-.f64 (neg.f64 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2))) (*.f64 alpha alpha))
0.0ms
beta
@-inf
(/.f64 (-.f64 (neg.f64 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2))) (*.f64 alpha alpha))
0.0ms
beta
@inf
(/.f64 (-.f64 (neg.f64 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2))) (*.f64 alpha alpha))

rewrite137.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
472×+-commutative
468×associate-+l+
438×add-sqr-sqrt
428×*-un-lft-identity
426×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017166
1410146
26750146
Stop Event
node limit
Counts
4 → 282
Calls
Call 1
Inputs
(/.f64 (-.f64 (neg.f64 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2))) (*.f64 alpha alpha))
(+.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) (/.f64 (-.f64 (neg.f64 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2))) (*.f64 alpha alpha)))
(-.f64 (neg.f64 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2)))
(pow.f64 (+.f64 beta 2) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha -2)) (neg.f64 (*.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha -2))) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha -2)) (*.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (*.f64 alpha alpha)) (-.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha -2)) (neg.f64 (*.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2)))) alpha) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2)))) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2)))) (*.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2)))) (pow.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha -2))) (cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) 2) (pow.f64 alpha 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) 2) (pow.f64 alpha 4))) (cbrt.f64 (*.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2)))) 2) (*.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2)))) (pow.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) alpha) (/.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 alpha -2) (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 alpha) (/.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (/.f64 1 (*.f64 alpha (neg.f64 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 alpha 4))) (/.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 (cbrt.f64 alpha) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2)))) 1) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2)))) (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2)))) (cbrt.f64 (pow.f64 alpha 4))) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2)))) (pow.f64 (cbrt.f64 alpha) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2)))) 2) alpha) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2)))) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2)))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2)))) (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2)))) 2) (cbrt.f64 (pow.f64 alpha 4))) (cbrt.f64 (*.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha -2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2)))) alpha) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha -2))) 3)))) (#(struct:change #<rule 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(*.f64 -2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (+.f64 beta 2) 4)) (pow.f64 (+.f64 beta 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (pow.f64 (+.f64 beta 2) 2) 3)) (+.f64 (+.f64 0 (pow.f64 (+.f64 beta 2) 4)) (*.f64 0 (pow.f64 (+.f64 beta 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 beta beta -4) (+.f64 8 (pow.f64 beta 3))) (*.f64 (+.f64 beta -2) (fma.f64 beta beta (+.f64 4 (*.f64 -2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 8 (pow.f64 beta 3)) (fma.f64 beta beta -4)) (*.f64 (fma.f64 beta beta (+.f64 4 (*.f64 -2 beta))) (+.f64 beta -2)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (pow.f64 (+.f64 beta 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 beta 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (+.f64 beta 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 beta 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (+.f64 beta 2) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (+.f64 beta 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (+.f64 beta 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (+.f64 beta 2) 2)))))))

simplify165.0ms (0.9%)

Algorithm
egg-herbie
Rules
892×associate-+l+
824×associate-+r+
758×associate-*l*
746×associate-*r*
680×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
071520114
1197017796
Stop Event
node limit
Counts
354 → 483
Calls
Call 1
Inputs
(/.f64 -4 (pow.f64 alpha 2))
(-.f64 (*.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(+.f64 (*.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(+.f64 (*.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2)))
(*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2)))
(*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2)))
(*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2)))
(*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2)))
(*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2)))
(*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2)))
(*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2)))
(*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2)))
(*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2)))
(*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2)))
(*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2)))
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2)))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(+.f64 (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(+.f64 (*.f64 -1 (*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))) (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))) (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))))
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))))
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))))
-4
(-.f64 (*.f64 -6 beta) 4)
(-.f64 (+.f64 (*.f64 -2 (pow.f64 beta 2)) (*.f64 -6 beta)) 4)
(-.f64 (+.f64 (*.f64 -2 (pow.f64 beta 2)) (*.f64 -6 beta)) 4)
(*.f64 -2 (pow.f64 beta 2))
(+.f64 (*.f64 -2 (pow.f64 beta 2)) (*.f64 -6 beta))
(-.f64 (+.f64 (*.f64 -2 (pow.f64 beta 2)) (*.f64 -6 beta)) 4)
(-.f64 (+.f64 (*.f64 -2 (pow.f64 beta 2)) (*.f64 -6 beta)) 4)
(*.f64 -2 (pow.f64 beta 2))
(+.f64 (*.f64 -2 (pow.f64 beta 2)) (*.f64 -6 beta))
(-.f64 (+.f64 (*.f64 -2 (pow.f64 beta 2)) (*.f64 -6 beta)) 4)
(-.f64 (+.f64 (*.f64 -2 (pow.f64 beta 2)) (*.f64 -6 beta)) 4)
4
(+.f64 4 (*.f64 4 beta))
(+.f64 4 (+.f64 (*.f64 4 beta) (pow.f64 beta 2)))
(+.f64 4 (+.f64 (*.f64 4 beta) (pow.f64 beta 2)))
(pow.f64 beta 2)
(+.f64 (*.f64 4 beta) (pow.f64 beta 2))
(+.f64 4 (+.f64 (*.f64 4 beta) (pow.f64 beta 2)))
(+.f64 4 (+.f64 (*.f64 4 beta) (pow.f64 beta 2)))
(pow.f64 beta 2)
(+.f64 (*.f64 4 beta) (pow.f64 beta 2))
(+.f64 4 (+.f64 (*.f64 4 beta) (pow.f64 beta 2)))
(+.f64 4 (+.f64 (*.f64 4 beta) (pow.f64 beta 2)))
(+.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha -2)) (neg.f64 (*.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha -2))))
(+.f64 (neg.f64 (*.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha -2))) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha -2)))
(-.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha -2)) (*.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha -2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha -2)))) 1)
(-.f64 (/.f64 0 (*.f64 alpha alpha)) (-.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha -2)) (neg.f64 (*.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha -2)))))
(*.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha -2))
(*.f64 (*.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha -2)) 1)
(*.f64 1 (*.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha -2)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2)))) alpha) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2)))) alpha))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2)))) (*.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2)))) (pow.f64 alpha -2)))
(*.f64 (cbrt.f64 (*.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha -2))) (cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) 2) (pow.f64 alpha 4))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) 2) (pow.f64 alpha 4))) (cbrt.f64 (*.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha -2))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2)))) 2) (*.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2)))) (pow.f64 alpha -2)))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) alpha) (/.f64 1 alpha))
(*.f64 (pow.f64 alpha -2) (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))))
(*.f64 (/.f64 1 alpha) (/.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) alpha))
(*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (/.f64 1 (*.f64 alpha (neg.f64 alpha))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 alpha 4))) (/.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 (cbrt.f64 alpha) 2)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2)))) 1) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2)))) (*.f64 alpha alpha)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2)))) (cbrt.f64 (pow.f64 alpha 4))) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2)))) (pow.f64 (cbrt.f64 alpha) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2)))) 2) alpha) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2)))) alpha))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2)))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2)))) (*.f64 alpha alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2)))) 2) (cbrt.f64 (pow.f64 alpha 4))) (cbrt.f64 (*.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha -2))))
(pow.f64 (*.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha -2)) 1)
(pow.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2)))) alpha) 2)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha -2))) 3)
(pow.f64 (/.f64 (*.f64 alpha alpha) (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2)))) -1)
(pow.f64 (pow.f64 (*.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha -2)) 3) 1/3)
(neg.f64 (/.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (*.f64 alpha (neg.f64 alpha))))
(sqrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) 2) (pow.f64 alpha 4)))
(log.f64 (pow.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2)))) (pow.f64 alpha -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha -2)))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha -2)) 3))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha -2))))
(exp.f64 (log.f64 (*.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha -2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha -2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha -2))))
(-.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha -2)) (-.f64 (*.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha -2)) (/.f64 (fma.f64 beta 2 2) alpha)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha -2)))) (-.f64 1 (/.f64 (fma.f64 beta 2 2) alpha)))
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(fma.f64 1 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (neg.f64 (+.f64 beta 2))))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 beta 2) 4)) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (*.f64 beta (neg.f64 (+.f64 beta 2))))
(fma.f64 -1 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (neg.f64 (+.f64 beta 2))))
(+.f64 (pow.f64 (+.f64 beta 2) 2) 0)
(+.f64 (*.f64 beta (+.f64 beta 2)) (*.f64 (+.f64 beta 2) 2))
(+.f64 (*.f64 beta (+.f64 beta 2)) (*.f64 2 (+.f64 beta 2)))
(+.f64 (*.f64 beta 2) (+.f64 (*.f64 beta beta) (*.f64 (+.f64 beta 2) 2)))
(+.f64 (*.f64 beta 2) (+.f64 (*.f64 beta beta) (*.f64 2 (+.f64 beta 2))))
(+.f64 (*.f64 beta beta) (+.f64 (*.f64 beta 2) (*.f64 (+.f64 beta 2) 2)))
(+.f64 (*.f64 beta beta) (+.f64 (*.f64 beta 2) (*.f64 2 (+.f64 beta 2))))
(+.f64 0 (pow.f64 (+.f64 beta 2) 2))
(+.f64 (*.f64 (*.f64 beta beta) 1) (+.f64 (*.f64 beta 2) (*.f64 (+.f64 beta 2) 2)))
(+.f64 (*.f64 (*.f64 beta beta) 1) (+.f64 (*.f64 beta 2) (*.f64 2 (+.f64 beta 2))))
(+.f64 (*.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2)))
(+.f64 (*.f64 2 (+.f64 beta 2)) (*.f64 beta (+.f64 beta 2)))
(+.f64 (+.f64 0 (*.f64 beta (+.f64 beta 2))) (*.f64 (+.f64 beta 2) 2))
(+.f64 (+.f64 0 (*.f64 beta (+.f64 beta 2))) (*.f64 2 (+.f64 beta 2)))
(+.f64 (+.f64 0 (*.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2)))
(+.f64 (+.f64 0 (*.f64 2 (+.f64 beta 2))) (*.f64 beta (+.f64 beta 2)))
(+.f64 (+.f64 (*.f64 (+.f64 beta 2) 2) (*.f64 beta 2)) (*.f64 beta beta))
(+.f64 (+.f64 (*.f64 (+.f64 beta 2) 2) (*.f64 beta beta)) (*.f64 beta 2))
(+.f64 (+.f64 (*.f64 (+.f64 beta 2) 2) (*.f64 (*.f64 beta beta) 1)) (*.f64 beta 2))
(+.f64 (+.f64 (*.f64 2 (+.f64 beta 2)) (*.f64 beta 2)) (*.f64 beta beta))
(+.f64 (+.f64 (*.f64 2 (+.f64 beta 2)) (*.f64 beta beta)) (*.f64 beta 2))
(+.f64 (+.f64 (*.f64 2 (+.f64 beta 2)) (*.f64 (*.f64 beta beta) 1)) (*.f64 beta 2))
(-.f64 0 (pow.f64 (+.f64 beta 2) 2))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 beta 2) 2))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 beta (+.f64 beta 2)))) (-.f64 1 (*.f64 (+.f64 beta 2) 2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 beta (+.f64 beta 2)))) (-.f64 1 (*.f64 2 (+.f64 beta 2))))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (pow.f64 (+.f64 beta 2) 2)))) 1)
(-.f64 (+.f64 (*.f64 (+.f64 beta 2) 2) (exp.f64 (log1p.f64 (*.f64 beta (+.f64 beta 2))))) 1)
(-.f64 (+.f64 (*.f64 2 (+.f64 beta 2)) (exp.f64 (log1p.f64 (*.f64 beta (+.f64 beta 2))))) 1)
(*.f64 (+.f64 beta 2) (+.f64 beta 2))
(*.f64 (+.f64 beta 2) (neg.f64 (+.f64 beta 2)))
(*.f64 (pow.f64 (+.f64 beta 2) 2) 1)
(*.f64 (pow.f64 (+.f64 beta 2) 2) -1)
(*.f64 1 (pow.f64 (+.f64 beta 2) 2))
(*.f64 (sqrt.f64 (+.f64 beta 2)) (*.f64 (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 beta 2) 4)) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 beta 2) 4)) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (cbrt.f64 (pow.f64 (+.f64 beta 2) 4)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (*.f64 (cbrt.f64 (+.f64 beta 2)) (+.f64 beta 2)))
(*.f64 -1 (pow.f64 (+.f64 beta 2) 2))
(*.f64 (*.f64 (+.f64 beta 2) (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)))
(*.f64 (*.f64 -1 (+.f64 beta 2)) (+.f64 beta 2))
(*.f64 (*.f64 -1 (cbrt.f64 (pow.f64 (+.f64 beta 2) 4))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2))
(*.f64 (*.f64 (+.f64 beta 2) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (cbrt.f64 (+.f64 beta 2)))
(*.f64 (neg.f64 (+.f64 beta 2)) (+.f64 beta 2))
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 beta 2) 4))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2))
(/.f64 (*.f64 (fma.f64 beta beta -4) (fma.f64 beta beta -4)) (*.f64 (+.f64 beta -2) (+.f64 beta -2)))
(/.f64 (*.f64 (+.f64 8 (pow.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (*.f64 (fma.f64 beta beta (+.f64 4 (*.f64 -2 beta))) (fma.f64 beta beta (+.f64 4 (*.f64 -2 beta)))))
(/.f64 (*.f64 (+.f64 beta 2) (fma.f64 beta beta -4)) (+.f64 beta -2))
(/.f64 (*.f64 (+.f64 beta 2) (+.f64 8 (pow.f64 beta 3))) (fma.f64 beta beta (+.f64 4 (*.f64 -2 beta))))
(/.f64 (*.f64 (fma.f64 beta beta -4) (+.f64 beta 2)) (+.f64 beta -2))
(/.f64 (*.f64 (+.f64 8 (pow.f64 beta 3)) (+.f64 beta 2)) (fma.f64 beta beta (+.f64 4 (*.f64 -2 beta))))
(/.f64 (-.f64 0 (pow.f64 (+.f64 beta 2) 4)) (pow.f64 (+.f64 beta 2) 2))
(/.f64 (-.f64 0 (pow.f64 (pow.f64 (+.f64 beta 2) 2) 3)) (+.f64 (+.f64 0 (pow.f64 (+.f64 beta 2) 4)) (*.f64 0 (pow.f64 (+.f64 beta 2) 2))))
(/.f64 (*.f64 (fma.f64 beta beta -4) (+.f64 8 (pow.f64 beta 3))) (*.f64 (+.f64 beta -2) (fma.f64 beta beta (+.f64 4 (*.f64 -2 beta)))))
(/.f64 (*.f64 (+.f64 8 (pow.f64 beta 3)) (fma.f64 beta beta -4)) (*.f64 (fma.f64 beta beta (+.f64 4 (*.f64 -2 beta))) (+.f64 beta -2)))
(neg.f64 (pow.f64 (+.f64 beta 2) 2))
(sqrt.f64 (pow.f64 (+.f64 beta 2) 4))
(log.f64 (exp.f64 (pow.f64 (+.f64 beta 2) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 beta 2) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 beta 2) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 beta 2) 2)))
(exp.f64 (*.f64 2 (log.f64 (+.f64 beta 2))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (+.f64 beta 2))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 beta 2) 2)))
Outputs
(/.f64 -4 (pow.f64 alpha 2))
(/.f64 -4 (*.f64 alpha alpha))
(-.f64 (*.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (/.f64 (*.f64 -6 beta) (*.f64 alpha alpha)) (/.f64 4 (*.f64 alpha alpha)))
(fma.f64 -6 (/.f64 beta (*.f64 alpha alpha)) (/.f64 -4 (*.f64 alpha alpha)))
(-.f64 (+.f64 (*.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (fma.f64 -6 (/.f64 beta (*.f64 alpha alpha)) (*.f64 -2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))) (/.f64 4 (*.f64 alpha alpha)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (fma.f64 -6 (/.f64 beta (*.f64 alpha alpha)) (/.f64 -4 (*.f64 alpha alpha))))
(-.f64 (+.f64 (*.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (fma.f64 -6 (/.f64 beta (*.f64 alpha alpha)) (*.f64 -2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))) (/.f64 4 (*.f64 alpha alpha)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (fma.f64 -6 (/.f64 beta (*.f64 alpha alpha)) (/.f64 -4 (*.f64 alpha alpha))))
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(*.f64 -2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))
(+.f64 (*.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(fma.f64 -6 (/.f64 beta (*.f64 alpha alpha)) (*.f64 -2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))))
(-.f64 (+.f64 (*.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (fma.f64 -6 (/.f64 beta (*.f64 alpha alpha)) (*.f64 -2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))) (/.f64 4 (*.f64 alpha alpha)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (fma.f64 -6 (/.f64 beta (*.f64 alpha alpha)) (/.f64 -4 (*.f64 alpha alpha))))
(-.f64 (+.f64 (*.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (fma.f64 -6 (/.f64 beta (*.f64 alpha alpha)) (*.f64 -2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))) (/.f64 4 (*.f64 alpha alpha)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (fma.f64 -6 (/.f64 beta (*.f64 alpha alpha)) (/.f64 -4 (*.f64 alpha alpha))))
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(*.f64 -2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))
(+.f64 (*.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(fma.f64 -6 (/.f64 beta (*.f64 alpha alpha)) (*.f64 -2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))))
(-.f64 (+.f64 (*.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (fma.f64 -6 (/.f64 beta (*.f64 alpha alpha)) (*.f64 -2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))) (/.f64 4 (*.f64 alpha alpha)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (fma.f64 -6 (/.f64 beta (*.f64 alpha alpha)) (/.f64 -4 (*.f64 alpha alpha))))
(-.f64 (+.f64 (*.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (fma.f64 -6 (/.f64 beta (*.f64 alpha alpha)) (*.f64 -2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))) (/.f64 4 (*.f64 alpha alpha)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (fma.f64 -6 (/.f64 beta (*.f64 alpha alpha)) (/.f64 -4 (*.f64 alpha alpha))))
(*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta)))) (*.f64 alpha alpha))
(/.f64 (*.f64 (-.f64 -2 beta) (+.f64 2 (+.f64 beta beta))) (*.f64 alpha alpha))
(*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta)))) (*.f64 alpha alpha))
(/.f64 (*.f64 (-.f64 -2 beta) (+.f64 2 (+.f64 beta beta))) (*.f64 alpha alpha))
(*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta)))) (*.f64 alpha alpha))
(/.f64 (*.f64 (-.f64 -2 beta) (+.f64 2 (+.f64 beta beta))) (*.f64 alpha alpha))
(*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta)))) (*.f64 alpha alpha))
(/.f64 (*.f64 (-.f64 -2 beta) (+.f64 2 (+.f64 beta beta))) (*.f64 alpha alpha))
(*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta)))) (*.f64 alpha alpha))
(/.f64 (*.f64 (-.f64 -2 beta) (+.f64 2 (+.f64 beta beta))) (*.f64 alpha alpha))
(*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta)))) (*.f64 alpha alpha))
(/.f64 (*.f64 (-.f64 -2 beta) (+.f64 2 (+.f64 beta beta))) (*.f64 alpha alpha))
(*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta)))) (*.f64 alpha alpha))
(/.f64 (*.f64 (-.f64 -2 beta) (+.f64 2 (+.f64 beta beta))) (*.f64 alpha alpha))
(*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta)))) (*.f64 alpha alpha))
(/.f64 (*.f64 (-.f64 -2 beta) (+.f64 2 (+.f64 beta beta))) (*.f64 alpha alpha))
(*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta)))) (*.f64 alpha alpha))
(/.f64 (*.f64 (-.f64 -2 beta) (+.f64 2 (+.f64 beta beta))) (*.f64 alpha alpha))
(*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta)))) (*.f64 alpha alpha))
(/.f64 (*.f64 (-.f64 -2 beta) (+.f64 2 (+.f64 beta beta))) (*.f64 alpha alpha))
(*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta)))) (*.f64 alpha alpha))
(/.f64 (*.f64 (-.f64 -2 beta) (+.f64 2 (+.f64 beta beta))) (*.f64 alpha alpha))
(*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta)))) (*.f64 alpha alpha))
(/.f64 (*.f64 (-.f64 -2 beta) (+.f64 2 (+.f64 beta beta))) (*.f64 alpha alpha))
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha)))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2)))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (/.f64 2 alpha) (*.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (*.f64 alpha alpha))))) (/.f64 4 (*.f64 alpha alpha)))
(+.f64 (*.f64 beta (+.f64 (/.f64 2 alpha) (/.f64 -6 (*.f64 alpha alpha)))) (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (/.f64 2 alpha) (-.f64 (fma.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (*.f64 alpha alpha))) (*.f64 -2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))) (/.f64 4 (*.f64 alpha alpha))))
(+.f64 (fma.f64 beta (+.f64 (/.f64 2 alpha) (/.f64 -6 (*.f64 alpha alpha))) (*.f64 -2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))) (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (/.f64 2 alpha) (-.f64 (fma.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (*.f64 alpha alpha))) (*.f64 -2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))) (/.f64 4 (*.f64 alpha alpha))))
(+.f64 (fma.f64 beta (+.f64 (/.f64 2 alpha) (/.f64 -6 (*.f64 alpha alpha))) (*.f64 -2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))) (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))))
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(*.f64 -2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))
(+.f64 (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(fma.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (*.f64 alpha alpha))) (*.f64 -2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))))
(fma.f64 beta (+.f64 (/.f64 2 alpha) (/.f64 -6 (*.f64 alpha alpha))) (*.f64 -2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (/.f64 2 alpha) (-.f64 (fma.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (*.f64 alpha alpha))) (*.f64 -2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))) (/.f64 4 (*.f64 alpha alpha))))
(+.f64 (fma.f64 beta (+.f64 (/.f64 2 alpha) (/.f64 -6 (*.f64 alpha alpha))) (*.f64 -2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))) (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (/.f64 2 alpha) (-.f64 (fma.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (*.f64 alpha alpha))) (*.f64 -2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))) (/.f64 4 (*.f64 alpha alpha))))
(+.f64 (fma.f64 beta (+.f64 (/.f64 2 alpha) (/.f64 -6 (*.f64 alpha alpha))) (*.f64 -2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))) (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))))
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(*.f64 -2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))
(+.f64 (*.f64 -1 (*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(fma.f64 -1 (*.f64 beta (-.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha))) (*.f64 -2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))))
(fma.f64 -1 (*.f64 beta (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha))) (*.f64 -2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))) (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (fma.f64 -1 (*.f64 beta (-.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha))) (+.f64 (*.f64 -2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (/.f64 2 alpha))) (/.f64 4 (*.f64 alpha alpha)))
(+.f64 (+.f64 (/.f64 2 alpha) (fma.f64 -1 (*.f64 beta (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha))) (*.f64 -2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))))) (/.f64 -4 (*.f64 alpha alpha)))
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(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (fma.f64 beta 2 2) alpha)
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(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (fma.f64 beta 2 2) alpha)
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-4
(-.f64 (*.f64 -6 beta) 4)
(fma.f64 -6 beta -4)
(-.f64 (+.f64 (*.f64 -2 (pow.f64 beta 2)) (*.f64 -6 beta)) 4)
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(*.f64 beta (*.f64 beta -2))
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(fma.f64 -2 (*.f64 beta beta) (*.f64 -6 beta))
(-.f64 (+.f64 (*.f64 -2 (pow.f64 beta 2)) (*.f64 -6 beta)) 4)
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(-.f64 (+.f64 (*.f64 -2 (pow.f64 beta 2)) (*.f64 -6 beta)) 4)
(+.f64 (*.f64 -2 (*.f64 beta beta)) (fma.f64 -6 beta -4))
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(*.f64 -2 (*.f64 beta beta))
(*.f64 beta (*.f64 beta -2))
(+.f64 (*.f64 -2 (pow.f64 beta 2)) (*.f64 -6 beta))
(fma.f64 -2 (*.f64 beta beta) (*.f64 -6 beta))
(-.f64 (+.f64 (*.f64 -2 (pow.f64 beta 2)) (*.f64 -6 beta)) 4)
(+.f64 (*.f64 -2 (*.f64 beta beta)) (fma.f64 -6 beta -4))
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(-.f64 (+.f64 (*.f64 -2 (pow.f64 beta 2)) (*.f64 -6 beta)) 4)
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4
(+.f64 4 (*.f64 4 beta))
(+.f64 4 (*.f64 beta 4))
(+.f64 4 (+.f64 (*.f64 4 beta) (pow.f64 beta 2)))
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(+.f64 4 (fma.f64 4 beta (*.f64 beta beta)))
(+.f64 4 (*.f64 beta (+.f64 4 beta)))
(pow.f64 beta 2)
(*.f64 beta beta)
(+.f64 (*.f64 4 beta) (pow.f64 beta 2))
(fma.f64 4 beta (*.f64 beta beta))
(*.f64 beta (+.f64 4 beta))
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(+.f64 4 (fma.f64 4 beta (*.f64 beta beta)))
(+.f64 4 (*.f64 beta (+.f64 4 beta)))
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(+.f64 4 (*.f64 beta (+.f64 4 beta)))
(pow.f64 beta 2)
(*.f64 beta beta)
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(fma.f64 4 beta (*.f64 beta beta))
(*.f64 beta (+.f64 4 beta))
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(+.f64 4 (*.f64 beta (+.f64 4 beta)))
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(+.f64 4 (*.f64 beta (+.f64 4 beta)))
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(*.f64 (pow.f64 alpha -2) (*.f64 (+.f64 2 beta) (-.f64 (+.f64 2 beta) beta)))
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(pow.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta)))) alpha) 2)
(/.f64 (*.f64 (+.f64 2 beta) (-.f64 (+.f64 2 beta) beta)) (*.f64 alpha alpha))
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(*.f64 (cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) 2) (pow.f64 alpha 4))) (cbrt.f64 (*.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha -2))))
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(*.f64 (cbrt.f64 (*.f64 (pow.f64 alpha -2) (*.f64 (+.f64 2 beta) (-.f64 (+.f64 2 beta) beta)))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 2 beta) (-.f64 (+.f64 2 beta) beta)) 2) (pow.f64 alpha 4))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2)))) 2) (*.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2)))) (pow.f64 alpha -2)))
(*.f64 (pow.f64 alpha -2) (-.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))))
(*.f64 (pow.f64 alpha -2) (*.f64 (+.f64 2 beta) (-.f64 (+.f64 2 beta) beta)))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) alpha) (/.f64 1 alpha))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta)))) alpha) 2)
(/.f64 (*.f64 (+.f64 2 beta) (-.f64 (+.f64 2 beta) beta)) (*.f64 alpha alpha))
(*.f64 (pow.f64 alpha -2) (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))))
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(*.f64 (pow.f64 alpha -2) (*.f64 (+.f64 2 beta) (-.f64 (+.f64 2 beta) beta)))
(*.f64 (/.f64 1 alpha) (/.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) alpha))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta)))) alpha) 2)
(/.f64 (*.f64 (+.f64 2 beta) (-.f64 (+.f64 2 beta) beta)) (*.f64 alpha alpha))
(*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (/.f64 1 (*.f64 alpha (neg.f64 alpha))))
(*.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (/.f64 1 (*.f64 alpha (neg.f64 alpha))))
(/.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (*.f64 alpha (neg.f64 alpha)))
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(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 alpha 4))) (/.f64 (-.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 (cbrt.f64 alpha) 2)))
(/.f64 (/.f64 (*.f64 (+.f64 2 beta) (-.f64 (+.f64 2 beta) beta)) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (pow.f64 alpha 4)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2)))) 1) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2)))) (*.f64 alpha alpha)))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta)))) alpha) 2)
(/.f64 (*.f64 (+.f64 2 beta) (-.f64 (+.f64 2 beta) beta)) (*.f64 alpha alpha))
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(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 alpha 4))) (/.f64 (-.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 (cbrt.f64 alpha) 2)))
(/.f64 (/.f64 (*.f64 (+.f64 2 beta) (-.f64 (+.f64 2 beta) beta)) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (pow.f64 alpha 4)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2)))) 2) alpha) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2)))) alpha))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta)))) alpha) 2)
(/.f64 (*.f64 (+.f64 2 beta) (-.f64 (+.f64 2 beta) beta)) (*.f64 alpha alpha))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2)))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2)))) (*.f64 alpha alpha)))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta)))) alpha) 2)
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(neg.f64 (pow.f64 (+.f64 2 beta) 2))
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 beta 2) 4))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (neg.f64 (cbrt.f64 (pow.f64 (+.f64 2 beta) 4))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 2 beta) 4)) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2)))
(/.f64 (*.f64 (fma.f64 beta beta -4) (fma.f64 beta beta -4)) (*.f64 (+.f64 beta -2) (+.f64 beta -2)))
(/.f64 (fma.f64 beta beta -4) (/.f64 (*.f64 (+.f64 beta -2) (+.f64 beta -2)) (fma.f64 beta beta -4)))
(*.f64 (/.f64 (fma.f64 beta beta -4) (+.f64 beta -2)) (/.f64 (fma.f64 beta beta -4) (+.f64 beta -2)))
(/.f64 (*.f64 (+.f64 8 (pow.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (*.f64 (fma.f64 beta beta (+.f64 4 (*.f64 -2 beta))) (fma.f64 beta beta (+.f64 4 (*.f64 -2 beta)))))
(*.f64 (/.f64 (+.f64 8 (pow.f64 beta 3)) (fma.f64 beta beta (+.f64 4 (*.f64 beta -2)))) (/.f64 (+.f64 8 (pow.f64 beta 3)) (fma.f64 beta beta (+.f64 4 (*.f64 beta -2)))))
(*.f64 (/.f64 (+.f64 8 (pow.f64 beta 3)) (+.f64 (*.f64 beta (+.f64 beta -2)) 4)) (/.f64 (+.f64 8 (pow.f64 beta 3)) (+.f64 (*.f64 beta (+.f64 beta -2)) 4)))
(/.f64 (*.f64 (+.f64 beta 2) (fma.f64 beta beta -4)) (+.f64 beta -2))
(/.f64 (+.f64 2 beta) (/.f64 (+.f64 beta -2) (fma.f64 beta beta -4)))
(*.f64 (/.f64 (fma.f64 beta beta -4) (+.f64 beta -2)) (+.f64 2 beta))
(/.f64 (*.f64 (+.f64 beta 2) (+.f64 8 (pow.f64 beta 3))) (fma.f64 beta beta (+.f64 4 (*.f64 -2 beta))))
(/.f64 (+.f64 2 beta) (/.f64 (fma.f64 beta beta (+.f64 4 (*.f64 beta -2))) (+.f64 8 (pow.f64 beta 3))))
(*.f64 (/.f64 (+.f64 2 beta) (+.f64 (*.f64 beta (+.f64 beta -2)) 4)) (+.f64 8 (pow.f64 beta 3)))
(/.f64 (*.f64 (fma.f64 beta beta -4) (+.f64 beta 2)) (+.f64 beta -2))
(/.f64 (+.f64 2 beta) (/.f64 (+.f64 beta -2) (fma.f64 beta beta -4)))
(*.f64 (/.f64 (fma.f64 beta beta -4) (+.f64 beta -2)) (+.f64 2 beta))
(/.f64 (*.f64 (+.f64 8 (pow.f64 beta 3)) (+.f64 beta 2)) (fma.f64 beta beta (+.f64 4 (*.f64 -2 beta))))
(/.f64 (+.f64 2 beta) (/.f64 (fma.f64 beta beta (+.f64 4 (*.f64 beta -2))) (+.f64 8 (pow.f64 beta 3))))
(*.f64 (/.f64 (+.f64 2 beta) (+.f64 (*.f64 beta (+.f64 beta -2)) 4)) (+.f64 8 (pow.f64 beta 3)))
(/.f64 (-.f64 0 (pow.f64 (+.f64 beta 2) 4)) (pow.f64 (+.f64 beta 2) 2))
(/.f64 (neg.f64 (pow.f64 (+.f64 2 beta) 4)) (pow.f64 (+.f64 2 beta) 2))
(/.f64 (-.f64 0 (pow.f64 (pow.f64 (+.f64 beta 2) 2) 3)) (+.f64 (+.f64 0 (pow.f64 (+.f64 beta 2) 4)) (*.f64 0 (pow.f64 (+.f64 beta 2) 2))))
(/.f64 (neg.f64 (pow.f64 (pow.f64 (+.f64 2 beta) 2) 3)) (pow.f64 (+.f64 2 beta) 4))
(/.f64 (*.f64 (fma.f64 beta beta -4) (+.f64 8 (pow.f64 beta 3))) (*.f64 (+.f64 beta -2) (fma.f64 beta beta (+.f64 4 (*.f64 -2 beta)))))
(/.f64 (fma.f64 beta beta -4) (/.f64 (*.f64 (+.f64 beta -2) (fma.f64 beta beta (+.f64 4 (*.f64 beta -2)))) (+.f64 8 (pow.f64 beta 3))))
(*.f64 (/.f64 (fma.f64 beta beta -4) (*.f64 (+.f64 beta -2) (+.f64 (*.f64 beta (+.f64 beta -2)) 4))) (+.f64 8 (pow.f64 beta 3)))
(/.f64 (*.f64 (+.f64 8 (pow.f64 beta 3)) (fma.f64 beta beta -4)) (*.f64 (fma.f64 beta beta (+.f64 4 (*.f64 -2 beta))) (+.f64 beta -2)))
(/.f64 (fma.f64 beta beta -4) (/.f64 (*.f64 (+.f64 beta -2) (fma.f64 beta beta (+.f64 4 (*.f64 beta -2)))) (+.f64 8 (pow.f64 beta 3))))
(*.f64 (/.f64 (fma.f64 beta beta -4) (*.f64 (+.f64 beta -2) (+.f64 (*.f64 beta (+.f64 beta -2)) 4))) (+.f64 8 (pow.f64 beta 3)))
(neg.f64 (pow.f64 (+.f64 beta 2) 2))
(neg.f64 (pow.f64 (+.f64 2 beta) 2))
(sqrt.f64 (pow.f64 (+.f64 beta 2) 4))
(sqrt.f64 (pow.f64 (+.f64 2 beta) 4))
(log.f64 (exp.f64 (pow.f64 (+.f64 beta 2) 2)))
(pow.f64 (+.f64 2 beta) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 beta 2) 2))))
(pow.f64 (+.f64 2 beta) 2)
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 beta 2) 2) 3))
(pow.f64 (+.f64 2 beta) 2)
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 beta 2) 2)))
(pow.f64 (+.f64 2 beta) 2)
(exp.f64 (*.f64 2 (log.f64 (+.f64 beta 2))))
(pow.f64 (exp.f64 2) (log.f64 (+.f64 2 beta)))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (+.f64 beta 2))) 1))
(pow.f64 (exp.f64 2) (log.f64 (+.f64 2 beta)))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 beta 2) 2)))
(pow.f64 (+.f64 2 beta) 2)

eval4.7s (25.8%)

Compiler

Compiled 163449 to 116786 computations (28.5% saved)

prune1.4s (7.6%)

Pruning

18 alts after pruning (10 fresh and 8 done)

PrunedKeptTotal
New242762433
Fresh246
Picked101
Done189
Total2431182449
Error
0.0b
Counts
2449 → 18
Alt Table
Click to see full alt table
StatusErrorProgram
17.4b
(/.f64 (/.f64 (-.f64 4 (*.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))) (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) 2)
17.4b
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) 2)) (-.f64 -3 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) 2)
44.0b
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
16.8b
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (fma.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1) (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))))) 2)
16.8b
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 (-.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) 1) 1) 1) (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))))) 2)
16.8b
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) (-.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)))) 2)
16.8b
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
17.4b
(/.f64 (-.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) 2)
46.9b
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
31.4b
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
31.9b
(/.f64 (+.f64 (/.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (*.f64 beta (+.f64 beta 2))) 1) 2)
17.4b
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
18.4b
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
33.6b
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
61.5b
(/.f64 (+.f64 -1 1) 2)
42.1b
(/.f64 2 2)
59.9b
(*.f64 1/2 (/.f64 (+.f64 (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (neg.f64 alpha)) (*.f64 (*.f64 alpha (neg.f64 alpha)) (*.f64 (+.f64 beta 1) -2))) (*.f64 (*.f64 alpha (neg.f64 alpha)) (neg.f64 alpha))))
49.0b
(*.f64 1/2 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))))
Compiler

Compiled 750 to 543 computations (27.6% saved)

localize125.0ms (0.7%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)
0.1b
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)
0.1b
(-.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) 1) 1)
1.6b
(-.f64 (-.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) 1) 1) 1)
Compiler

Compiled 335 to 240 computations (28.4% saved)

series16.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
4.0ms
alpha
@-inf
(-.f64 (-.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) 1) 1) 1)
2.0ms
alpha
@inf
(-.f64 (-.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) 1) 1) 1)
2.0ms
beta
@0
(-.f64 (-.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) 1) 1) 1)
1.0ms
beta
@inf
(-.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) 1) 1)
1.0ms
beta
@-inf
(-.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) 1) 1)

rewrite122.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1588×associate-/r*
1012×associate-/l*
408×associate-+l+
356×add-sqr-sqrt
344×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01499
134081
2496481
Stop Event
node limit
Counts
3 → 221
Calls
Call 1
Inputs
(-.f64 (-.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) 1) 1) 1)
(-.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) 1) 1)
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) -1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) -1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) -1)) (sqrt.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) -1)) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) -1)) 2) (cbrt.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 12) -1) (/.f64 1 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 18)) (/.f64 1 (+.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 12))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) (-.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 12) (-.f64 1 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) -1))) (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 18))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 12) -1) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 18)) (+.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 12)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 18)) 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simplify205.0ms (1.1%)

Algorithm
egg-herbie
Rules
956×associate-+r+
910×+-commutative
898×associate-*r*
676×distribute-lft-in
626×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
070431275
1211228833
Stop Event
node limit
Counts
293 → 324
Calls
Call 1
Inputs
-1
(-.f64 (/.f64 (pow.f64 alpha 6) (pow.f64 (+.f64 beta 2) 6)) 1)
(-.f64 (+.f64 (*.f64 -6 (/.f64 (pow.f64 alpha 7) (pow.f64 (+.f64 beta 2) 7))) (/.f64 (pow.f64 alpha 6) (pow.f64 (+.f64 beta 2) 6))) 1)
(-.f64 (+.f64 (*.f64 21 (/.f64 (pow.f64 alpha 8) (pow.f64 (+.f64 beta 2) 8))) (+.f64 (*.f64 -6 (/.f64 (pow.f64 alpha 7) (pow.f64 (+.f64 beta 2) 7))) (/.f64 (pow.f64 alpha 6) (pow.f64 (+.f64 beta 2) 6)))) 1)
(/.f64 (+.f64 (*.f64 -4 (+.f64 beta 2)) (*.f64 -2 (+.f64 beta 2))) alpha)
(+.f64 (*.f64 -2 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -2 (+.f64 beta 2))) 2) (pow.f64 alpha 2)) (+.f64 (*.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 8 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 -4 (/.f64 (+.f64 beta 2) alpha))))))
(+.f64 (*.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (*.f64 -4 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 2)) (pow.f64 alpha 3))) (+.f64 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -2 (+.f64 beta 2))) 2) (pow.f64 alpha 2)) (+.f64 (*.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 -8 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (*.f64 4 (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -2 (+.f64 beta 2)))) (pow.f64 alpha 3))) (+.f64 (*.f64 -2 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (*.f64 8 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))))))))))
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(-.f64 (/.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 3) (+.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 2) (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)))) (-.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 2) (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)))) 0))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 3) (+.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 2) (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)))) (+.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 2) (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)))) 0))
(-.f64 (+.f64 1 (/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 12) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)))) (/.f64 1 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))))
(-.f64 (+.f64 1 (/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 18) (+.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 12)))) (/.f64 1 (+.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 12))))
(-.f64 (+.f64 0 (/.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 2) (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)))) (/.f64 1 (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))))
(-.f64 (+.f64 0 (/.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 3) (+.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 2) (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 2) (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)))))
(-.f64 (+.f64 -1 (/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 12) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) -1))) (/.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) -1)))
(*.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))
(*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) 1)
(*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))
(*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) 1))
(*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 12)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 12)) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 12)) (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) 1))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 2) -1) (/.f64 1 (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 2) (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)))))
(*.f64 (+.f64 1 (hypot.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))) (-.f64 (hypot.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) 1))
(*.f64 (pow.f64 alpha 6) (pow.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) 6))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 6) (pow.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 6))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 2) 6) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 6))
(/.f64 1 (/.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 2) (-.f64 1 (*.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) -1))) (+.f64 -1 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 3))))
(/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) 1)
(/.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 2) -1) (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)))
(/.f64 (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) (/.f64 (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 3)) (+.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 2) (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 3)) (+.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 2) (-.f64 1 (*.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) -1))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 3)) (/.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 2) (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))) 1))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 3))) (/.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 2) (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 3)))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 3))) (/.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 2) (-.f64 1 (*.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) -1))) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 3)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 2) -1)) (/.f64 (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 2) -1))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 3))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 3)))) (/.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 2) (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 3)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 3))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 3)))) (/.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 2) (-.f64 1 (*.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) -1))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 3)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 2) -1)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 2) -1))) (/.f64 (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 2) -1))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 2) -1) 1) (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 3)) 1) (+.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 2) (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))))
(/.f64 (-.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 12) 0) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))
(/.f64 (+.f64 0 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 18)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 12) (-.f64 0 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) 0))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 2) -1)) (neg.f64 (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 2) (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 2) -1) 1) (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 2) -1) (sqrt.f64 (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)))) (sqrt.f64 (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 2) -1) (*.f64 (cbrt.f64 (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))) (cbrt.f64 (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))))) (cbrt.f64 (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 3)) 1) (+.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 2) (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 3)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 2) (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 2) (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 2) (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 2) (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 2) (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)))))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 2) -1) 1) 1) (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 2) -1) 1) (sqrt.f64 (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)))) (sqrt.f64 (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 2) -1) 1) (*.f64 (cbrt.f64 (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))) (cbrt.f64 (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))))) (cbrt.f64 (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))))
(/.f64 (/.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 3)) 1) 1) (+.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 2) (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))))
(/.f64 (/.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 3)) 1) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 2) (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 2) (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)))))
(/.f64 (/.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 3)) 1) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 2) (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 2) (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 2) (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)))))
(sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 12))
(log.f64 (exp.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))))
(cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 18))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)))
(exp.f64 (*.f64 6 (log.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))))
(exp.f64 (*.f64 (*.f64 6 (log.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)))
(fma.f64 1 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) -1)
(fma.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) 0)
(fma.f64 (hypot.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) (hypot.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) -1)
(fma.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) 0)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))) 2) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))) -1)
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 12)) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) 0)
Outputs
-1
(-.f64 (/.f64 (pow.f64 alpha 6) (pow.f64 (+.f64 beta 2) 6)) 1)
(+.f64 (/.f64 (pow.f64 alpha 6) (pow.f64 (+.f64 beta 2) 6)) -1)
(+.f64 -1 (/.f64 (pow.f64 alpha 6) (pow.f64 (+.f64 beta 2) 6)))
(-.f64 (+.f64 (*.f64 -6 (/.f64 (pow.f64 alpha 7) (pow.f64 (+.f64 beta 2) 7))) (/.f64 (pow.f64 alpha 6) (pow.f64 (+.f64 beta 2) 6))) 1)
(+.f64 (fma.f64 -6 (/.f64 (pow.f64 alpha 7) (pow.f64 (+.f64 beta 2) 7)) (/.f64 (pow.f64 alpha 6) (pow.f64 (+.f64 beta 2) 6))) -1)
(+.f64 -1 (fma.f64 -6 (/.f64 (pow.f64 alpha 7) (pow.f64 (+.f64 beta 2) 7)) (/.f64 (pow.f64 alpha 6) (pow.f64 (+.f64 beta 2) 6))))
(-.f64 (+.f64 (*.f64 21 (/.f64 (pow.f64 alpha 8) (pow.f64 (+.f64 beta 2) 8))) (+.f64 (*.f64 -6 (/.f64 (pow.f64 alpha 7) (pow.f64 (+.f64 beta 2) 7))) (/.f64 (pow.f64 alpha 6) (pow.f64 (+.f64 beta 2) 6)))) 1)
(+.f64 (fma.f64 21 (/.f64 (pow.f64 alpha 8) (pow.f64 (+.f64 beta 2) 8)) (fma.f64 -6 (/.f64 (pow.f64 alpha 7) (pow.f64 (+.f64 beta 2) 7)) (/.f64 (pow.f64 alpha 6) (pow.f64 (+.f64 beta 2) 6)))) -1)
(+.f64 -1 (fma.f64 -6 (/.f64 (pow.f64 alpha 7) (pow.f64 (+.f64 beta 2) 7)) (fma.f64 21 (/.f64 (pow.f64 alpha 8) (pow.f64 (+.f64 beta 2) 8)) (/.f64 (pow.f64 alpha 6) (pow.f64 (+.f64 beta 2) 6)))))
(/.f64 (+.f64 (*.f64 -4 (+.f64 beta 2)) (*.f64 -2 (+.f64 beta 2))) alpha)
(/.f64 (*.f64 (+.f64 beta 2) -6) alpha)
(/.f64 (+.f64 beta 2) (/.f64 alpha -6))
(+.f64 (*.f64 -2 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -2 (+.f64 beta 2))) 2) (pow.f64 alpha 2)) (+.f64 (*.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 8 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 -4 (/.f64 (+.f64 beta 2) alpha))))))
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(+.f64 2 (+.f64 -2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)))
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 3)) 1) (+.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 2) (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 3)) (+.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 2) (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 3)) (+.f64 2 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 2))))
(/.f64 (-.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 12) 0) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))
(/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 12) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))
(/.f64 (+.f64 0 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 18)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 12) (-.f64 0 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) 0))))
(/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 18) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 12))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 2) -1)) (neg.f64 (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))))
(+.f64 2 (+.f64 -2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)))
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 2) (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 3)) (+.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 2) (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 3)) (+.f64 2 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 2))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 2) -1) 1) (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)))
(+.f64 2 (+.f64 -2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)))
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 2) -1) (sqrt.f64 (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)))) (sqrt.f64 (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 2)) (*.f64 (sqrt.f64 (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))) (sqrt.f64 (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 2) -1) (*.f64 (cbrt.f64 (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))) (cbrt.f64 (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))))) (cbrt.f64 (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 2)) (*.f64 (cbrt.f64 (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))) (cbrt.f64 (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))))) (cbrt.f64 (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 2)) (cbrt.f64 (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)))) (*.f64 (cbrt.f64 (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))) (cbrt.f64 (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 3)) 1) (+.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 2) (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 3)) (+.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 2) (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 3)) (+.f64 2 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 2))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 3)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 2) (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 2) (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 3)) (*.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 2) (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 2) (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 3)) (*.f64 (sqrt.f64 (+.f64 2 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 2)))) (sqrt.f64 (+.f64 2 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 2))))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 2) (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 2) (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 2) (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 3)) (cbrt.f64 (+.f64 2 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 2))))) (*.f64 (cbrt.f64 (+.f64 2 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 2)))) (cbrt.f64 (+.f64 2 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 2))))))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 2) -1) 1) 1) (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)))
(+.f64 2 (+.f64 -2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)))
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 2) -1) 1) (sqrt.f64 (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)))) (sqrt.f64 (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 2)) (*.f64 (sqrt.f64 (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))) (sqrt.f64 (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)))))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 2) -1) 1) (*.f64 (cbrt.f64 (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))) (cbrt.f64 (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))))) (cbrt.f64 (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 2)) (*.f64 (cbrt.f64 (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))) (cbrt.f64 (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))))) (cbrt.f64 (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 2)) (cbrt.f64 (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)))) (*.f64 (cbrt.f64 (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))) (cbrt.f64 (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)))))
(/.f64 (/.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 3)) 1) 1) (+.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 2) (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 3)) (+.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 2) (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 3)) (+.f64 2 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 2))))
(/.f64 (/.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 3)) 1) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 2) (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 2) (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 3)) (*.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 2) (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 2) (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 3)) (*.f64 (sqrt.f64 (+.f64 2 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 2)))) (sqrt.f64 (+.f64 2 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 2))))))
(/.f64 (/.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 3)) 1) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 2) (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 2) (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 2) (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 2) (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 2) (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 2) (+.f64 2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 3)) (cbrt.f64 (+.f64 2 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 2))))) (*.f64 (cbrt.f64 (+.f64 2 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 2)))) (cbrt.f64 (+.f64 2 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 2))))))
(sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 12))
(log.f64 (exp.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)))
(+.f64 2 (+.f64 -2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)))
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))))
(+.f64 2 (+.f64 -2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)))
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)
(cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 18))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)))
(+.f64 2 (+.f64 -2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)))
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)
(exp.f64 (*.f64 6 (log.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))))
(pow.f64 (exp.f64 6) (log.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(exp.f64 (*.f64 (*.f64 6 (log.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) 1))
(pow.f64 (exp.f64 6) (log.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)))
(+.f64 2 (+.f64 -2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)))
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)
(fma.f64 1 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) -1)
(+.f64 2 (+.f64 -2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)))
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)
(fma.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) 0)
(+.f64 2 (+.f64 -2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)))
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)
(fma.f64 (hypot.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) (hypot.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) -1)
(*.f64 (+.f64 1 (hypot.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))) (+.f64 (hypot.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) -1))
(fma.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) 0)
(+.f64 2 (+.f64 -2 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)))
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))) 2) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))) -1)
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 12)) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) 0)
(*.f64 (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 12)) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2))

localize11.0ms (0.1%)

Compiler

Compiled 21 to 17 computations (19% saved)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))
0.3b
(/.f64 4 (*.f64 alpha alpha))
Compiler

Compiled 37 to 22 computations (40.5% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
alpha
@0
(/.f64 4 (*.f64 alpha alpha))
0.0ms
alpha
@inf
(/.f64 4 (*.f64 alpha alpha))
0.0ms
alpha
@-inf
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))
0.0ms
alpha
@inf
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))
0.0ms
alpha
@0
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))

rewrite88.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1354×associate-/r*
940×*-commutative
568×associate-/l*
428×distribute-lft-in
424×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0938
121132
2306832
Stop Event
node limit
Counts
2 → 236
Calls
Call 1
Inputs
(/.f64 4 (*.f64 alpha alpha))
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (/.f64 1 alpha) (*.f64 (pow.f64 alpha -2) -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 2 alpha) (*.f64 (pow.f64 alpha -2) -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 2 alpha)) (sqrt.f64 (/.f64 2 alpha)) (*.f64 (pow.f64 alpha -2) -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha)) (cbrt.f64 (/.f64 2 alpha)) (*.f64 (pow.f64 alpha -2) -4))))))

simplify114.0ms (0.6%)

Algorithm
egg-herbie
Rules
950×associate-*r*
902×times-frac
858×associate-/r*
848×associate-/l*
752×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
059712528
1178811564
Stop Event
node limit
Counts
260 → 386
Calls
Call 1
Inputs
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 -4 (pow.f64 alpha 2))
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(/.f64 2 alpha)
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(/.f64 2 alpha)
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 4 alpha) alpha))) 1)
(*.f64 4 (pow.f64 alpha -2))
(*.f64 4 (*.f64 (/.f64 1 alpha) (/.f64 1 alpha)))
(*.f64 (/.f64 (/.f64 4 alpha) alpha) 1)
(*.f64 2 (*.f64 (/.f64 2 alpha) (/.f64 1 alpha)))
(*.f64 (/.f64 2 alpha) (/.f64 2 alpha))
(*.f64 1 (/.f64 (/.f64 4 alpha) alpha))
(*.f64 (sqrt.f64 (/.f64 2 alpha)) (*.f64 (/.f64 2 alpha) (sqrt.f64 (/.f64 2 alpha))))
(*.f64 (cbrt.f64 (/.f64 2 alpha)) (*.f64 (/.f64 2 alpha) (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha))))
(*.f64 (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha)) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))))
(*.f64 (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha)) (*.f64 (/.f64 2 alpha) (cbrt.f64 (/.f64 2 alpha))))
(*.f64 (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))) (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha)))
(*.f64 (/.f64 4 alpha) (/.f64 1 alpha))
(*.f64 (pow.f64 alpha -2) 4)
(*.f64 (/.f64 1 alpha) (/.f64 4 alpha))
(*.f64 (/.f64 1 alpha) (*.f64 2 (/.f64 2 alpha)))
(*.f64 -4 (neg.f64 (pow.f64 alpha -2)))
(*.f64 (*.f64 (/.f64 1 alpha) (/.f64 1 alpha)) 4)
(*.f64 (*.f64 (/.f64 2 alpha) (sqrt.f64 (/.f64 2 alpha))) (sqrt.f64 (/.f64 2 alpha)))
(*.f64 (*.f64 2 (/.f64 2 alpha)) (/.f64 1 alpha))
(*.f64 (*.f64 (/.f64 2 alpha) (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha))) (cbrt.f64 (/.f64 2 alpha)))
(*.f64 (*.f64 (/.f64 2 alpha) (/.f64 1 alpha)) 2)
(*.f64 (*.f64 (/.f64 2 alpha) (cbrt.f64 (/.f64 2 alpha))) (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 alpha 4))) (/.f64 4 (pow.f64 (cbrt.f64 alpha) 2)))
(*.f64 (neg.f64 (pow.f64 alpha -2)) -4)
(*.f64 (/.f64 (/.f64 2 alpha) alpha) 2)
(*.f64 (/.f64 (/.f64 2 alpha) (sqrt.f64 alpha)) (/.f64 2 (sqrt.f64 alpha)))
(*.f64 (/.f64 (/.f64 2 alpha) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 2 (cbrt.f64 alpha)))
(*.f64 (/.f64 (/.f64 2 alpha) (neg.f64 alpha)) -2)
(pow.f64 (/.f64 (/.f64 4 alpha) alpha) 1)
(pow.f64 (/.f64 2 alpha) 2)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha)) 3)
(pow.f64 (*.f64 (/.f64 alpha 4) alpha) -1)
(pow.f64 (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 3) 1/3)
(neg.f64 (*.f64 (pow.f64 alpha -2) -4))
(sqrt.f64 (/.f64 16 (pow.f64 alpha 4)))
(log.f64 (pow.f64 (exp.f64 4) (pow.f64 alpha -2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 4 alpha) alpha))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 3))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 4 alpha) alpha)))
(exp.f64 (*.f64 2 (log.f64 (/.f64 2 alpha))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 4 alpha) alpha)))
(+.f64 (/.f64 2 alpha) (*.f64 (pow.f64 alpha -2) -4))
(+.f64 (/.f64 2 alpha) (+.f64 (*.f64 (pow.f64 alpha -2) -4) (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (/.f64 (/.f64 4 alpha) alpha))))
(+.f64 (/.f64 2 alpha) (+.f64 (*.f64 (pow.f64 alpha -2) -4) (fma.f64 (*.f64 (pow.f64 alpha -2) -4) 1 (/.f64 (/.f64 4 alpha) alpha))))
(+.f64 (/.f64 2 alpha) (+.f64 (*.f64 (pow.f64 alpha -2) -4) (fma.f64 (/.f64 -2 alpha) (/.f64 2 alpha) (/.f64 (/.f64 4 alpha) alpha))))
(+.f64 (/.f64 2 alpha) (+.f64 (*.f64 (pow.f64 alpha -2) -4) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha))) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))) (/.f64 (/.f64 4 alpha) alpha))))
(+.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (/.f64 (/.f64 4 alpha) alpha)))
(+.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) (fma.f64 (*.f64 (pow.f64 alpha -2) -4) 1 (/.f64 (/.f64 4 alpha) alpha)))
(+.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) (fma.f64 (/.f64 -2 alpha) (/.f64 2 alpha) (/.f64 (/.f64 4 alpha) alpha)))
(+.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha))) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))) (/.f64 (/.f64 4 alpha) alpha)))
(+.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) (+.f64 (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (/.f64 (/.f64 4 alpha) alpha)) (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (/.f64 (/.f64 4 alpha) alpha))))
(+.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) (+.f64 (fma.f64 (*.f64 (pow.f64 alpha -2) -4) 1 (/.f64 (/.f64 4 alpha) alpha)) (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (/.f64 (/.f64 4 alpha) alpha))))
(+.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) (+.f64 (fma.f64 (/.f64 -2 alpha) (/.f64 2 alpha) (/.f64 (/.f64 4 alpha) alpha)) (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (/.f64 (/.f64 4 alpha) alpha))))
(+.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha))) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))) (/.f64 (/.f64 4 alpha) alpha)) (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (/.f64 (/.f64 4 alpha) alpha))))
(+.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) (+.f64 (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (/.f64 (/.f64 4 alpha) alpha)) (fma.f64 (*.f64 (pow.f64 alpha -2) -4) 1 (/.f64 (/.f64 4 alpha) alpha))))
(+.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) (+.f64 (fma.f64 (*.f64 (pow.f64 alpha -2) -4) 1 (/.f64 (/.f64 4 alpha) alpha)) (fma.f64 (*.f64 (pow.f64 alpha -2) -4) 1 (/.f64 (/.f64 4 alpha) alpha))))
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(/.f64 (+.f64 (*.f64 (pow.f64 alpha -2) -4) (neg.f64 (/.f64 -16 (pow.f64 alpha 4)))) (+.f64 (*.f64 (pow.f64 alpha -2) -4) (/.f64 -2 alpha)))
(/.f64 (neg.f64 (-.f64 (/.f64 8 (pow.f64 alpha 3)) (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 3))) (neg.f64 (+.f64 (/.f64 16 (pow.f64 alpha 4)) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 (/.f64 4 alpha) alpha)))))
(/.f64 (neg.f64 (*.f64 alpha (-.f64 (*.f64 alpha 2) 4))) (neg.f64 (pow.f64 alpha 3)))
(/.f64 (/.f64 (+.f64 (/.f64 (/.f64 4 alpha) alpha) (/.f64 -16 (pow.f64 alpha 4))) 1) (+.f64 (/.f64 (/.f64 4 alpha) alpha) (/.f64 2 alpha)))
(/.f64 (/.f64 (+.f64 (/.f64 (/.f64 4 alpha) alpha) (/.f64 -16 (pow.f64 alpha 4))) (sqrt.f64 (+.f64 (/.f64 (/.f64 4 alpha) alpha) (/.f64 2 alpha)))) (sqrt.f64 (+.f64 (/.f64 (/.f64 4 alpha) alpha) (/.f64 2 alpha))))
(/.f64 (/.f64 (+.f64 (/.f64 (/.f64 4 alpha) alpha) (/.f64 -16 (pow.f64 alpha 4))) (*.f64 (cbrt.f64 (+.f64 (/.f64 (/.f64 4 alpha) alpha) (/.f64 2 alpha))) (cbrt.f64 (+.f64 (/.f64 (/.f64 4 alpha) alpha) (/.f64 2 alpha))))) (cbrt.f64 (+.f64 (/.f64 (/.f64 4 alpha) alpha) (/.f64 2 alpha))))
(/.f64 (/.f64 (-.f64 (/.f64 8 (pow.f64 alpha 3)) (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 3)) 1) (+.f64 (/.f64 16 (pow.f64 alpha 4)) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 (/.f64 4 alpha) alpha))))
(/.f64 (/.f64 (-.f64 (/.f64 8 (pow.f64 alpha 3)) (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 3)) (sqrt.f64 (+.f64 (/.f64 16 (pow.f64 alpha 4)) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 (/.f64 4 alpha) alpha))))) (sqrt.f64 (+.f64 (/.f64 16 (pow.f64 alpha 4)) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 (/.f64 4 alpha) alpha)))))
(/.f64 (/.f64 (-.f64 (/.f64 8 (pow.f64 alpha 3)) (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 3)) (*.f64 (cbrt.f64 (+.f64 (/.f64 16 (pow.f64 alpha 4)) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 (/.f64 4 alpha) alpha)))) (cbrt.f64 (+.f64 (/.f64 16 (pow.f64 alpha 4)) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 (/.f64 4 alpha) alpha)))))) (cbrt.f64 (+.f64 (/.f64 16 (pow.f64 alpha 4)) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 (/.f64 4 alpha) alpha)))))
(/.f64 (/.f64 (*.f64 alpha (-.f64 (*.f64 alpha 2) 4)) (*.f64 alpha alpha)) alpha)
(/.f64 (/.f64 (*.f64 alpha (-.f64 (*.f64 alpha 2) 4)) 1) (pow.f64 alpha 3))
(/.f64 (/.f64 (*.f64 alpha (-.f64 (*.f64 alpha 2) 4)) (sqrt.f64 alpha)) (*.f64 (*.f64 alpha alpha) (sqrt.f64 alpha)))
(/.f64 (/.f64 (*.f64 alpha (-.f64 (*.f64 alpha 2) 4)) (cbrt.f64 (pow.f64 alpha 4))) (*.f64 alpha (pow.f64 (cbrt.f64 alpha) 2)))
(/.f64 (/.f64 (*.f64 alpha (-.f64 (*.f64 alpha 2) 4)) (pow.f64 (cbrt.f64 alpha) 2)) (*.f64 (*.f64 alpha alpha) (cbrt.f64 alpha)))
(/.f64 (/.f64 (*.f64 alpha (-.f64 (*.f64 alpha 2) 4)) (sqrt.f64 (pow.f64 alpha 3))) (sqrt.f64 (pow.f64 alpha 3)))
(/.f64 (/.f64 (*.f64 alpha (-.f64 (*.f64 alpha 2) 4)) (*.f64 alpha (sqrt.f64 alpha))) (*.f64 alpha (sqrt.f64 alpha)))
(/.f64 (/.f64 (*.f64 alpha (-.f64 (*.f64 alpha 2) 4)) (*.f64 alpha (cbrt.f64 (pow.f64 alpha 4)))) (pow.f64 (cbrt.f64 alpha) 2))
(/.f64 (/.f64 (*.f64 alpha (-.f64 (*.f64 alpha 2) 4)) (*.f64 (*.f64 alpha alpha) (sqrt.f64 alpha))) (sqrt.f64 alpha))
(/.f64 (/.f64 (*.f64 alpha (-.f64 (*.f64 alpha 2) 4)) (*.f64 (*.f64 alpha alpha) (pow.f64 (cbrt.f64 alpha) 2))) (cbrt.f64 alpha))
(/.f64 (/.f64 (/.f64 (*.f64 alpha (-.f64 (*.f64 alpha 2) 4)) alpha) alpha) alpha)
(/.f64 (/.f64 (/.f64 (*.f64 alpha (-.f64 (*.f64 alpha 2) 4)) alpha) (sqrt.f64 alpha)) (*.f64 alpha (sqrt.f64 alpha)))
(/.f64 (/.f64 (/.f64 (*.f64 alpha (-.f64 (*.f64 alpha 2) 4)) alpha) (cbrt.f64 (pow.f64 alpha 4))) (pow.f64 (cbrt.f64 alpha) 2))
(/.f64 (/.f64 (/.f64 (*.f64 alpha (-.f64 (*.f64 alpha 2) 4)) alpha) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (pow.f64 alpha 4)))
(/.f64 (/.f64 (/.f64 (*.f64 alpha (-.f64 (*.f64 alpha 2) 4)) alpha) (pow.f64 (cbrt.f64 alpha) 2)) (*.f64 alpha (cbrt.f64 alpha)))
(/.f64 (/.f64 (/.f64 (*.f64 alpha (-.f64 (*.f64 alpha 2) 4)) alpha) (*.f64 alpha (sqrt.f64 alpha))) (sqrt.f64 alpha))
(/.f64 (/.f64 (/.f64 (*.f64 alpha (-.f64 (*.f64 alpha 2) 4)) alpha) (*.f64 alpha (pow.f64 (cbrt.f64 alpha) 2))) (cbrt.f64 alpha))
(/.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) 1) alpha)
(/.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) (sqrt.f64 alpha)) (sqrt.f64 alpha))
(/.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2))
(/.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 alpha))
(/.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) (sqrt.f64 (cbrt.f64 (pow.f64 alpha 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 alpha) 2)))
(/.f64 (/.f64 (-.f64 (*.f64 2 (*.f64 (/.f64 alpha 4) alpha)) alpha) alpha) (*.f64 (/.f64 alpha 4) alpha))
(/.f64 (/.f64 (-.f64 (*.f64 alpha 2) (*.f64 alpha (/.f64 4 alpha))) alpha) alpha)
(/.f64 (/.f64 (-.f64 (*.f64 alpha 2) (*.f64 alpha (/.f64 4 alpha))) 1) (*.f64 alpha alpha))
(/.f64 (/.f64 (-.f64 (*.f64 alpha 2) (*.f64 alpha (/.f64 4 alpha))) (sqrt.f64 alpha)) (*.f64 alpha (sqrt.f64 alpha)))
(/.f64 (/.f64 (-.f64 (*.f64 alpha 2) (*.f64 alpha (/.f64 4 alpha))) (cbrt.f64 (pow.f64 alpha 4))) (pow.f64 (cbrt.f64 alpha) 2))
(/.f64 (/.f64 (-.f64 (*.f64 alpha 2) (*.f64 alpha (/.f64 4 alpha))) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (pow.f64 alpha 4)))
(/.f64 (/.f64 (-.f64 (*.f64 alpha 2) (*.f64 alpha (/.f64 4 alpha))) (pow.f64 (cbrt.f64 alpha) 2)) (*.f64 alpha (cbrt.f64 alpha)))
(/.f64 (/.f64 (-.f64 (*.f64 alpha 2) (*.f64 alpha (/.f64 4 alpha))) (*.f64 alpha (sqrt.f64 alpha))) (sqrt.f64 alpha))
(/.f64 (/.f64 (-.f64 (*.f64 alpha 2) (*.f64 alpha (/.f64 4 alpha))) (*.f64 alpha (pow.f64 (cbrt.f64 alpha) 2))) (cbrt.f64 alpha))
(/.f64 (/.f64 (-.f64 (*.f64 2 (*.f64 alpha (neg.f64 alpha))) (*.f64 alpha -4)) alpha) (*.f64 alpha (neg.f64 alpha)))
(/.f64 (/.f64 (-.f64 (*.f64 alpha alpha) (*.f64 4 (*.f64 alpha 1/2))) (*.f64 alpha 1/2)) (*.f64 alpha alpha))
(/.f64 (/.f64 (-.f64 (*.f64 (/.f64 alpha 4) alpha) (*.f64 alpha 1/2)) (*.f64 alpha 1/2)) (*.f64 (/.f64 alpha 4) alpha))
(/.f64 (/.f64 (-.f64 alpha (*.f64 (/.f64 4 alpha) (*.f64 alpha 1/2))) (*.f64 alpha 1/2)) alpha)
(/.f64 (/.f64 (-.f64 (*.f64 alpha (neg.f64 alpha)) (*.f64 (*.f64 alpha 1/2) -4)) (*.f64 alpha 1/2)) (*.f64 alpha (neg.f64 alpha)))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 alpha alpha) -2) (*.f64 alpha -4)) (neg.f64 alpha)) (*.f64 alpha alpha))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (/.f64 alpha 4) alpha) -2) (neg.f64 alpha)) (neg.f64 alpha)) (*.f64 (/.f64 alpha 4) alpha))
(/.f64 (/.f64 (-.f64 (*.f64 alpha -2) (*.f64 (/.f64 4 alpha) (neg.f64 alpha))) alpha) (neg.f64 alpha))
(/.f64 (/.f64 (-.f64 (*.f64 alpha -2) (*.f64 (/.f64 4 alpha) (neg.f64 alpha))) 1) (*.f64 alpha (neg.f64 alpha)))
(/.f64 (/.f64 (-.f64 (*.f64 alpha -2) (*.f64 (/.f64 4 alpha) (neg.f64 alpha))) (cbrt.f64 (pow.f64 alpha 4))) (neg.f64 (pow.f64 (cbrt.f64 alpha) 2)))
(/.f64 (/.f64 (-.f64 (*.f64 alpha -2) (*.f64 (/.f64 4 alpha) (neg.f64 alpha))) (neg.f64 alpha)) alpha)
(/.f64 (/.f64 (-.f64 (*.f64 alpha -2) (*.f64 (/.f64 4 alpha) (neg.f64 alpha))) (sqrt.f64 (*.f64 alpha (neg.f64 alpha)))) (sqrt.f64 (*.f64 alpha (neg.f64 alpha))))
(/.f64 (/.f64 (-.f64 (*.f64 alpha -2) (*.f64 (/.f64 4 alpha) (neg.f64 alpha))) (*.f64 (cbrt.f64 (*.f64 alpha (neg.f64 alpha))) (cbrt.f64 (*.f64 alpha (neg.f64 alpha))))) (cbrt.f64 (*.f64 alpha (neg.f64 alpha))))
(/.f64 (/.f64 (-.f64 (*.f64 alpha -2) (*.f64 (/.f64 4 alpha) (neg.f64 alpha))) -1) (*.f64 alpha alpha))
(/.f64 (/.f64 (-.f64 (*.f64 alpha -2) (*.f64 (/.f64 4 alpha) (neg.f64 alpha))) (neg.f64 (cbrt.f64 (pow.f64 alpha 4)))) (pow.f64 (cbrt.f64 alpha) 2))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 alpha (neg.f64 alpha)) -2) (*.f64 -4 (neg.f64 alpha))) (neg.f64 alpha)) (*.f64 alpha (neg.f64 alpha)))
(pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 3) 1/3)
(neg.f64 (/.f64 (+.f64 (/.f64 (/.f64 4 alpha) alpha) (/.f64 -16 (pow.f64 alpha 4))) (+.f64 (*.f64 (pow.f64 alpha -2) -4) (/.f64 -2 alpha))))
(neg.f64 (/.f64 (-.f64 (/.f64 8 (pow.f64 alpha 3)) (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 3)) (neg.f64 (+.f64 (/.f64 16 (pow.f64 alpha 4)) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 (/.f64 4 alpha) alpha))))))
(neg.f64 (/.f64 (*.f64 alpha (-.f64 (*.f64 alpha 2) 4)) (neg.f64 (pow.f64 alpha 3))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 3))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)))
(exp.f64 (log.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)))
(fma.f64 2 (/.f64 1 alpha) (*.f64 (pow.f64 alpha -2) -4))
(fma.f64 1 (/.f64 2 alpha) (*.f64 (pow.f64 alpha -2) -4))
(fma.f64 (sqrt.f64 (/.f64 2 alpha)) (sqrt.f64 (/.f64 2 alpha)) (*.f64 (pow.f64 alpha -2) -4))
(fma.f64 (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha)) (cbrt.f64 (/.f64 2 alpha)) (*.f64 (pow.f64 alpha -2) -4))
Outputs
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (*.f64 alpha alpha))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (*.f64 alpha alpha))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (*.f64 alpha alpha))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (*.f64 alpha alpha))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (*.f64 alpha alpha))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (*.f64 alpha alpha))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (*.f64 alpha alpha))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (*.f64 alpha alpha))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (*.f64 alpha alpha))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (*.f64 alpha alpha))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (*.f64 alpha alpha))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (*.f64 alpha alpha))
(/.f64 -4 (pow.f64 alpha 2))
(/.f64 -4 (*.f64 alpha alpha))
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)
(/.f64 2 alpha)
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)
(/.f64 2 alpha)
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 4 alpha) alpha))) 1)
(/.f64 4 (*.f64 alpha alpha))
(*.f64 4 (pow.f64 alpha -2))
(*.f64 4 (*.f64 (/.f64 1 alpha) (/.f64 1 alpha)))
(/.f64 4 (*.f64 alpha alpha))
(*.f64 (/.f64 (/.f64 4 alpha) alpha) 1)
(/.f64 4 (*.f64 alpha alpha))
(*.f64 2 (*.f64 (/.f64 2 alpha) (/.f64 1 alpha)))
(/.f64 4 (*.f64 alpha alpha))
(*.f64 (/.f64 2 alpha) (/.f64 2 alpha))
(/.f64 4 (*.f64 alpha alpha))
(*.f64 1 (/.f64 (/.f64 4 alpha) alpha))
(/.f64 4 (*.f64 alpha alpha))
(*.f64 (sqrt.f64 (/.f64 2 alpha)) (*.f64 (/.f64 2 alpha) (sqrt.f64 (/.f64 2 alpha))))
(*.f64 (/.f64 2 alpha) (*.f64 (sqrt.f64 (/.f64 2 alpha)) (sqrt.f64 (/.f64 2 alpha))))
(*.f64 (cbrt.f64 (/.f64 2 alpha)) (*.f64 (/.f64 2 alpha) (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha))))
(*.f64 (/.f64 2 alpha) (*.f64 (cbrt.f64 (/.f64 4 (*.f64 alpha alpha))) (cbrt.f64 (/.f64 2 alpha))))
(*.f64 (cbrt.f64 (/.f64 4 (*.f64 alpha alpha))) (*.f64 (/.f64 2 alpha) (cbrt.f64 (/.f64 2 alpha))))
(*.f64 (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha)) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))))
(*.f64 (cbrt.f64 (/.f64 4 (*.f64 alpha alpha))) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))))
(*.f64 (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha)) (*.f64 (/.f64 2 alpha) (cbrt.f64 (/.f64 2 alpha))))
(*.f64 (/.f64 2 alpha) (*.f64 (cbrt.f64 (/.f64 4 (*.f64 alpha alpha))) (cbrt.f64 (/.f64 2 alpha))))
(*.f64 (cbrt.f64 (/.f64 4 (*.f64 alpha alpha))) (*.f64 (/.f64 2 alpha) (cbrt.f64 (/.f64 2 alpha))))
(*.f64 (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))) (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha)))
(*.f64 (cbrt.f64 (/.f64 4 (*.f64 alpha alpha))) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))))
(*.f64 (/.f64 4 alpha) (/.f64 1 alpha))
(/.f64 4 (*.f64 alpha alpha))
(*.f64 (pow.f64 alpha -2) 4)
(*.f64 4 (pow.f64 alpha -2))
(*.f64 (/.f64 1 alpha) (/.f64 4 alpha))
(/.f64 4 (*.f64 alpha alpha))
(*.f64 (/.f64 1 alpha) (*.f64 2 (/.f64 2 alpha)))
(/.f64 4 (*.f64 alpha alpha))
(*.f64 -4 (neg.f64 (pow.f64 alpha -2)))
(*.f64 4 (pow.f64 alpha -2))
(*.f64 (*.f64 (/.f64 1 alpha) (/.f64 1 alpha)) 4)
(/.f64 4 (*.f64 alpha alpha))
(*.f64 (*.f64 (/.f64 2 alpha) (sqrt.f64 (/.f64 2 alpha))) (sqrt.f64 (/.f64 2 alpha)))
(*.f64 (sqrt.f64 (/.f64 2 alpha)) (*.f64 (/.f64 2 alpha) (sqrt.f64 (/.f64 2 alpha))))
(*.f64 (/.f64 2 alpha) (*.f64 (sqrt.f64 (/.f64 2 alpha)) (sqrt.f64 (/.f64 2 alpha))))
(*.f64 (*.f64 2 (/.f64 2 alpha)) (/.f64 1 alpha))
(/.f64 4 (*.f64 alpha alpha))
(*.f64 (*.f64 (/.f64 2 alpha) (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha))) (cbrt.f64 (/.f64 2 alpha)))
(*.f64 (/.f64 2 alpha) (*.f64 (cbrt.f64 (/.f64 4 (*.f64 alpha alpha))) (cbrt.f64 (/.f64 2 alpha))))
(*.f64 (cbrt.f64 (/.f64 4 (*.f64 alpha alpha))) (*.f64 (/.f64 2 alpha) (cbrt.f64 (/.f64 2 alpha))))
(*.f64 (*.f64 (/.f64 2 alpha) (/.f64 1 alpha)) 2)
(/.f64 4 (*.f64 alpha alpha))
(*.f64 (*.f64 (/.f64 2 alpha) (cbrt.f64 (/.f64 2 alpha))) (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha)))
(*.f64 (/.f64 2 alpha) (*.f64 (cbrt.f64 (/.f64 4 (*.f64 alpha alpha))) (cbrt.f64 (/.f64 2 alpha))))
(*.f64 (cbrt.f64 (/.f64 4 (*.f64 alpha alpha))) (*.f64 (/.f64 2 alpha) (cbrt.f64 (/.f64 2 alpha))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 alpha 4))) (/.f64 4 (pow.f64 (cbrt.f64 alpha) 2)))
(/.f64 (/.f64 4 (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (pow.f64 alpha 4)))
(*.f64 (neg.f64 (pow.f64 alpha -2)) -4)
(*.f64 4 (pow.f64 alpha -2))
(*.f64 (/.f64 (/.f64 2 alpha) alpha) 2)
(/.f64 4 (*.f64 alpha alpha))
(*.f64 (/.f64 (/.f64 2 alpha) (sqrt.f64 alpha)) (/.f64 2 (sqrt.f64 alpha)))
(*.f64 (/.f64 2 (*.f64 alpha (sqrt.f64 alpha))) (/.f64 2 (sqrt.f64 alpha)))
(/.f64 (/.f64 (/.f64 4 alpha) (sqrt.f64 alpha)) (sqrt.f64 alpha))
(*.f64 (/.f64 (/.f64 2 alpha) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 2 (cbrt.f64 alpha)))
(*.f64 (/.f64 2 (*.f64 alpha (pow.f64 (cbrt.f64 alpha) 2))) (/.f64 2 (cbrt.f64 alpha)))
(/.f64 (/.f64 (/.f64 4 alpha) (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2))
(*.f64 (/.f64 (/.f64 2 alpha) (neg.f64 alpha)) -2)
(/.f64 4 (*.f64 alpha alpha))
(pow.f64 (/.f64 (/.f64 4 alpha) alpha) 1)
(/.f64 4 (*.f64 alpha alpha))
(pow.f64 (/.f64 2 alpha) 2)
(/.f64 4 (*.f64 alpha alpha))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha)) 3)
(/.f64 4 (*.f64 alpha alpha))
(pow.f64 (*.f64 (/.f64 alpha 4) alpha) -1)
(/.f64 4 (*.f64 alpha alpha))
(pow.f64 (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 3) 1/3)
(/.f64 4 (*.f64 alpha alpha))
(neg.f64 (*.f64 (pow.f64 alpha -2) -4))
(*.f64 4 (pow.f64 alpha -2))
(sqrt.f64 (/.f64 16 (pow.f64 alpha 4)))
(log.f64 (pow.f64 (exp.f64 4) (pow.f64 alpha -2)))
(*.f64 (pow.f64 alpha -2) (log.f64 (exp.f64 4)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 4 alpha) alpha))))
(/.f64 4 (*.f64 alpha alpha))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 3))
(/.f64 4 (*.f64 alpha alpha))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 4 alpha) alpha)))
(/.f64 4 (*.f64 alpha alpha))
(exp.f64 (*.f64 2 (log.f64 (/.f64 2 alpha))))
(pow.f64 (exp.f64 2) (log.f64 (/.f64 2 alpha)))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 4 alpha) alpha)))
(/.f64 4 (*.f64 alpha alpha))
(+.f64 (/.f64 2 alpha) (*.f64 (pow.f64 alpha -2) -4))
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(/.f64 (/.f64 (-.f64 alpha (*.f64 (/.f64 4 alpha) (*.f64 alpha 1/2))) (*.f64 alpha 1/2)) alpha)
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)
(/.f64 (/.f64 (-.f64 (*.f64 alpha (neg.f64 alpha)) (*.f64 (*.f64 alpha 1/2) -4)) (*.f64 alpha 1/2)) (*.f64 alpha (neg.f64 alpha)))
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 alpha alpha) -2) (*.f64 alpha -4)) (neg.f64 alpha)) (*.f64 alpha alpha))
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (/.f64 alpha 4) alpha) -2) (neg.f64 alpha)) (neg.f64 alpha)) (*.f64 (/.f64 alpha 4) alpha))
(/.f64 (-.f64 (*.f64 2 (*.f64 alpha (/.f64 alpha 4))) alpha) (*.f64 alpha (*.f64 alpha (/.f64 alpha 4))))
(*.f64 (/.f64 (+.f64 (/.f64 alpha 2) -1) (*.f64 alpha alpha)) 4)
(/.f64 (/.f64 (-.f64 (*.f64 alpha -2) (*.f64 (/.f64 4 alpha) (neg.f64 alpha))) alpha) (neg.f64 alpha))
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)
(/.f64 (/.f64 (-.f64 (*.f64 alpha -2) (*.f64 (/.f64 4 alpha) (neg.f64 alpha))) 1) (*.f64 alpha (neg.f64 alpha)))
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)
(/.f64 (/.f64 (-.f64 (*.f64 alpha -2) (*.f64 (/.f64 4 alpha) (neg.f64 alpha))) (cbrt.f64 (pow.f64 alpha 4))) (neg.f64 (pow.f64 (cbrt.f64 alpha) 2)))
(/.f64 (*.f64 alpha (fma.f64 alpha 2 -4)) (*.f64 (*.f64 alpha (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (pow.f64 alpha 4))))
(/.f64 (fma.f64 alpha 2 -4) (*.f64 (cbrt.f64 (pow.f64 alpha 4)) (pow.f64 (cbrt.f64 alpha) 2)))
(/.f64 (/.f64 (-.f64 (*.f64 alpha -2) (*.f64 (/.f64 4 alpha) (neg.f64 alpha))) (neg.f64 alpha)) alpha)
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)
(/.f64 (/.f64 (-.f64 (*.f64 alpha -2) (*.f64 (/.f64 4 alpha) (neg.f64 alpha))) (sqrt.f64 (*.f64 alpha (neg.f64 alpha)))) (sqrt.f64 (*.f64 alpha (neg.f64 alpha))))
(/.f64 (-.f64 (*.f64 alpha -2) (*.f64 (/.f64 4 alpha) (neg.f64 alpha))) (*.f64 (sqrt.f64 (*.f64 alpha (neg.f64 alpha))) (sqrt.f64 (*.f64 alpha (neg.f64 alpha)))))
(/.f64 (fma.f64 alpha -2 4) (*.f64 (sqrt.f64 (*.f64 alpha (neg.f64 alpha))) (sqrt.f64 (*.f64 alpha (neg.f64 alpha)))))
(/.f64 (/.f64 (-.f64 (*.f64 alpha -2) (*.f64 (/.f64 4 alpha) (neg.f64 alpha))) (*.f64 (cbrt.f64 (*.f64 alpha (neg.f64 alpha))) (cbrt.f64 (*.f64 alpha (neg.f64 alpha))))) (cbrt.f64 (*.f64 alpha (neg.f64 alpha))))
(/.f64 (-.f64 (*.f64 alpha -2) (*.f64 (/.f64 4 alpha) (neg.f64 alpha))) (*.f64 (cbrt.f64 (*.f64 alpha (neg.f64 alpha))) (*.f64 (cbrt.f64 (*.f64 alpha (neg.f64 alpha))) (cbrt.f64 (*.f64 alpha (neg.f64 alpha))))))
(/.f64 (fma.f64 alpha -2 4) (*.f64 (cbrt.f64 (*.f64 alpha (neg.f64 alpha))) (*.f64 (cbrt.f64 (*.f64 alpha (neg.f64 alpha))) (cbrt.f64 (*.f64 alpha (neg.f64 alpha))))))
(/.f64 (/.f64 (-.f64 (*.f64 alpha -2) (*.f64 (/.f64 4 alpha) (neg.f64 alpha))) -1) (*.f64 alpha alpha))
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)
(/.f64 (/.f64 (-.f64 (*.f64 alpha -2) (*.f64 (/.f64 4 alpha) (neg.f64 alpha))) (neg.f64 (cbrt.f64 (pow.f64 alpha 4)))) (pow.f64 (cbrt.f64 alpha) 2))
(/.f64 (*.f64 alpha (fma.f64 alpha 2 -4)) (*.f64 (*.f64 alpha (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (pow.f64 alpha 4))))
(/.f64 (fma.f64 alpha 2 -4) (*.f64 (cbrt.f64 (pow.f64 alpha 4)) (pow.f64 (cbrt.f64 alpha) 2)))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 alpha (neg.f64 alpha)) -2) (*.f64 -4 (neg.f64 alpha))) (neg.f64 alpha)) (*.f64 alpha (neg.f64 alpha)))
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)
(pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 1)
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 2)
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 3)
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)
(pow.f64 (pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 3) 1/3)
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)
(neg.f64 (/.f64 (+.f64 (/.f64 (/.f64 4 alpha) alpha) (/.f64 -16 (pow.f64 alpha 4))) (+.f64 (*.f64 (pow.f64 alpha -2) -4) (/.f64 -2 alpha))))
(/.f64 (neg.f64 (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 -16 (pow.f64 alpha 4)))) (fma.f64 (pow.f64 alpha -2) -4 (/.f64 -2 alpha)))
(/.f64 (+.f64 (/.f64 16 (pow.f64 alpha 4)) (/.f64 -4 (*.f64 alpha alpha))) (fma.f64 (pow.f64 alpha -2) -4 (/.f64 -2 alpha)))
(neg.f64 (/.f64 (-.f64 (/.f64 8 (pow.f64 alpha 3)) (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 3)) (neg.f64 (+.f64 (/.f64 16 (pow.f64 alpha 4)) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 (/.f64 4 alpha) alpha))))))
(/.f64 (neg.f64 (-.f64 (/.f64 8 (pow.f64 alpha 3)) (pow.f64 (/.f64 4 (*.f64 alpha alpha)) 3))) (neg.f64 (+.f64 (/.f64 16 (pow.f64 alpha 4)) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 8 (pow.f64 alpha 3))))))
(/.f64 (+.f64 (/.f64 -8 (pow.f64 alpha 3)) (pow.f64 (/.f64 4 (*.f64 alpha alpha)) 3)) (+.f64 (/.f64 -16 (pow.f64 alpha 4)) (+.f64 (/.f64 -8 (pow.f64 alpha 3)) (/.f64 -4 (*.f64 alpha alpha)))))
(neg.f64 (/.f64 (*.f64 alpha (-.f64 (*.f64 alpha 2) 4)) (neg.f64 (pow.f64 alpha 3))))
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)))
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))))
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)
(cbrt.f64 (pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 3))
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)
(expm1.f64 (log1p.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)))
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)
(exp.f64 (log.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)))
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)
(log1p.f64 (expm1.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)))
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)
(fma.f64 2 (/.f64 1 alpha) (*.f64 (pow.f64 alpha -2) -4))
(fma.f64 (pow.f64 alpha -2) -4 (/.f64 2 alpha))
(fma.f64 1 (/.f64 2 alpha) (*.f64 (pow.f64 alpha -2) -4))
(fma.f64 (pow.f64 alpha -2) -4 (/.f64 2 alpha))
(fma.f64 (sqrt.f64 (/.f64 2 alpha)) (sqrt.f64 (/.f64 2 alpha)) (*.f64 (pow.f64 alpha -2) -4))
(fma.f64 (sqrt.f64 (/.f64 2 alpha)) (sqrt.f64 (/.f64 2 alpha)) (*.f64 -4 (pow.f64 alpha -2)))
(fma.f64 (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha)) (cbrt.f64 (/.f64 2 alpha)) (*.f64 (pow.f64 alpha -2) -4))
(fma.f64 (cbrt.f64 (/.f64 4 (*.f64 alpha alpha))) (cbrt.f64 (/.f64 2 alpha)) (*.f64 -4 (pow.f64 alpha -2)))

localize56.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (-.f64 4 (*.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))) (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
0.0b
(*.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
1.6b
(-.f64 4 (*.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))))
2.5b
(+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
Compiler

Compiled 174 to 102 computations (41.4% saved)

series28.0ms (0.2%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
5.0ms
beta
@0
(/.f64 (-.f64 4 (*.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))) (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
5.0ms
beta
@-inf
(*.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
3.0ms
alpha
@0
(/.f64 (-.f64 4 (*.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))) (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
2.0ms
alpha
@-inf
(/.f64 (-.f64 4 (*.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))) (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
2.0ms
alpha
@inf
(/.f64 (-.f64 4 (*.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))) (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))

rewrite123.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
514×+-commutative
446×add-sqr-sqrt
436×pow1
436×*-un-lft-identity
422×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
017190
1425190
26575190
Stop Event
node limit
Counts
4 → 158
Calls
Call 1
Inputs
(+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
(-.f64 4 (*.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))))
(*.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
(/.f64 (-.f64 4 (*.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))) (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 0 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 (exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (sqrt.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2) (cbrt.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 1 (-.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (/.f64 1 (+.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (-.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1))) (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) (neg.f64 (-.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))) (neg.f64 (+.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 3)))) (#(struct:change #<rule 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simplify217.0ms (1.2%)

Algorithm
egg-herbie
Rules
1400×+-commutative
1294×associate-*r*
1070×associate-*l*
878×associate-+r+
788×associate-+l+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0103034340
1346134068
Stop Event
node limit
Counts
254 → 496
Calls
Call 1
Inputs
(*.f64 -1 (+.f64 1 (/.f64 alpha (+.f64 2 alpha))))
(+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (*.f64 -1 (+.f64 1 (/.f64 alpha (+.f64 2 alpha)))))
(+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 -1 (+.f64 1 (/.f64 alpha (+.f64 2 alpha))))))
(+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.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 (*.f64 -1 (+.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))))))
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))))
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(/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)
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(-.f64 (/.f64 beta (+.f64 beta 2)) 1)
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-2
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-2
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) 2)
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4
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2) (pow.f64 beta 2))) 4)
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4
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(*.f64 4 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
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(*.f64 -4 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha))
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(pow.f64 (+.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2)
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(/.f64 (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2) (pow.f64 beta 2))
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(/.f64 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2) (pow.f64 beta 2))
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(pow.f64 (-.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
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4
(+.f64 (*.f64 -4 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) 4)
(+.f64 (*.f64 -4 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (+.f64 4 (+.f64 (/.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 2) (pow.f64 alpha 2)) (*.f64 -4 (/.f64 (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))))))
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4
(+.f64 4 (*.f64 4 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)))
(+.f64 4 (+.f64 (*.f64 4 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (+.f64 (*.f64 4 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (/.f64 (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2) (pow.f64 alpha 2)))))
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(/.f64 (-.f64 4 (pow.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) 1) 2)) (+.f64 3 (/.f64 alpha (+.f64 2 alpha))))
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2
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3))) (/.f64 (*.f64 (-.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 2 (*.f64 2 alpha))) (pow.f64 beta 3)))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 (+.f64 2 alpha) alpha)) (+.f64 2 (*.f64 2 alpha))) (pow.f64 beta 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 2 (*.f64 2 alpha))) (pow.f64 beta 3))) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))))))
2
(+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 2 alpha) (*.f64 -1 alpha)) beta)) 2)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 2 alpha) (*.f64 -1 alpha)) beta)) (+.f64 2 (*.f64 -1/2 (/.f64 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2) (pow.f64 beta 2))))) (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (+.f64 2 alpha) (*.f64 -1 alpha)) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2)))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 2 alpha) (*.f64 -1 alpha)) beta)) (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (*.f64 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2) (+.f64 2 alpha))) (+.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (+.f64 2 alpha) (*.f64 -1 alpha)) (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))))) (*.f64 1/2 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (-.f64 (*.f64 -1/2 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)) (+.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (*.f64 1/2 (*.f64 (-.f64 (+.f64 2 alpha) (*.f64 -1 alpha)) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))))))))))) (pow.f64 beta 3))) (*.f64 -1/2 (/.f64 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2) (pow.f64 beta 2)))))) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (+.f64 2 alpha) (*.f64 -1 alpha)) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2)))))
(/.f64 (-.f64 4 (pow.f64 (-.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)) (-.f64 3 (/.f64 beta (+.f64 beta 2))))
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(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
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(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha))
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(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1))
(-.f64 (exp.f64 (log.f64 (+.f64 0 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)
(-.f64 (+.f64 -1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))
(-.f64 (/.f64 1 (-.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (/.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 (exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 1)
(*.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)
(*.f64 1 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (sqrt.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (sqrt.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(*.f64 (cbrt.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2))
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(/.f64 (+.f64 (pow.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3) (pow.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 3)) (+.f64 (*.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (-.f64 (*.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) (*.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))) (*.f64 (-.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (+.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) (*.f64 (+.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1))) (-.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)
(pow.f64 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2) 1)
(pow.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2) 3)
(pow.f64 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 6) 1/3)
(sqrt.f64 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 4))
(log.f64 (exp.f64 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2))))
(cbrt.f64 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 6))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)))
(exp.f64 (*.f64 2 (log.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(exp.f64 (*.f64 (log.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)))
(fma.f64 -1 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(fma.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) -1 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(+.f64 (/.f64 4 (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (neg.f64 (/.f64 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2) (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2) (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) (/.f64 4 (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(-.f64 (/.f64 4 (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (/.f64 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2) (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)) (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) 1)
(*.f64 (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)) (/.f64 1 (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(*.f64 (/.f64 (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)) (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 1)
(*.f64 1 (/.f64 (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)) (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)) (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) (sqrt.f64 (/.f64 (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)) (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(*.f64 (sqrt.f64 (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2))) (*.f64 (sqrt.f64 (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2))) (/.f64 1 (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)) (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)) (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)) (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 2) (cbrt.f64 (/.f64 (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)) (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2))) 2) (*.f64 (cbrt.f64 (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2))) (/.f64 1 (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(*.f64 (/.f64 1 (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)))
(*.f64 (-.f64 -4 (neg.f64 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2))) (/.f64 1 (-.f64 -3 (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) (/.f64 (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)) (sqrt.f64 (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)) (/.f64 (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)) (cbrt.f64 (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(*.f64 (/.f64 (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)) (-.f64 9 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))
(*.f64 (/.f64 (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)) (-.f64 27 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))) (+.f64 9 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2))) 1) (/.f64 (sqrt.f64 (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2))) (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2))) (pow.f64 (cbrt.f64 (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)) (/.f64 (sqrt.f64 (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2))) (cbrt.f64 (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2))) 2) 1) (/.f64 (cbrt.f64 (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2))) (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2))) 2) (sqrt.f64 (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) (/.f64 (cbrt.f64 (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2))) (sqrt.f64 (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2))) 2) (pow.f64 (cbrt.f64 (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)) (cbrt.f64 (/.f64 (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)) (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(pow.f64 (/.f64 (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)) (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)) (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)) (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)) (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 3) 1/3)
(pow.f64 (/.f64 (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2))) -1)
(neg.f64 (/.f64 (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)) (-.f64 -3 (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)) (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)) (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)) (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)) (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)) 3) (pow.f64 (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)) (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(exp.f64 (log.f64 (/.f64 (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)) (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)) (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)) (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
Outputs
(*.f64 -1 (+.f64 1 (/.f64 alpha (+.f64 2 alpha))))
(neg.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(+.f64 -1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))
(+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (*.f64 -1 (+.f64 1 (/.f64 alpha (+.f64 2 alpha)))))
(fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (neg.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (+.f64 -1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))
(+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 -1 (+.f64 1 (/.f64 alpha (+.f64 2 alpha))))))
(fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (fma.f64 (*.f64 beta beta) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (neg.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))))
(fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (fma.f64 (*.f64 beta beta) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (+.f64 -1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))))
(+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.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 (*.f64 -1 (+.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))))))
(fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (fma.f64 (*.f64 beta beta) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 -1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)))))))
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta))
(neg.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(-.f64 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha))) (/.f64 (neg.f64 (pow.f64 (+.f64 alpha 2) 2)) (*.f64 beta beta)))
(-.f64 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) (/.f64 (*.f64 alpha (+.f64 alpha 2)) (*.f64 beta beta))) (/.f64 (neg.f64 (pow.f64 (+.f64 alpha 2) 2)) (*.f64 beta beta)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))))
(-.f64 (+.f64 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha))) (/.f64 (*.f64 (neg.f64 (pow.f64 (+.f64 alpha 2) 2)) alpha) (pow.f64 beta 3))) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) (/.f64 (*.f64 alpha (+.f64 alpha 2)) (*.f64 beta beta))) (-.f64 (/.f64 (*.f64 alpha (neg.f64 (pow.f64 (+.f64 alpha 2) 2))) (pow.f64 beta 3)) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)))))
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(/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)
(/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) beta)
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(-.f64 (/.f64 beta (+.f64 beta 2)) 1)
(+.f64 (/.f64 beta (+.f64 2 beta)) -1)
(+.f64 -1 (/.f64 beta (+.f64 2 beta)))
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-2
(-.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) 2)
(+.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) -2)
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-2
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) 2)
(fma.f64 -1 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) -2)
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(-.f64 4 (pow.f64 (+.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2))
(-.f64 4 (pow.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2))
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(-.f64 (fma.f64 2 (*.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))))) 4) (pow.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2))
(-.f64 (+.f64 (*.f64 2 (*.f64 beta (*.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))) (+.f64 1 (/.f64 alpha (+.f64 2 alpha)))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (pow.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))) 2) (*.f64 -2 (*.f64 (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 1 (/.f64 alpha (+.f64 2 alpha)))))))) 4)) (pow.f64 (+.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2))
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4
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2) (pow.f64 beta 2))) 4)
(fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 (*.f64 alpha 2)) 2) (*.f64 beta beta)) 4)
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4
(+.f64 4 (*.f64 -1 (/.f64 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2) (pow.f64 beta 2))))
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(-.f64 4 (pow.f64 (-.f64 (/.f64 beta (+.f64 beta 2)) 1) 2))
(-.f64 4 (pow.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) -1) 2))
(-.f64 4 (pow.f64 (+.f64 -1 (/.f64 beta (+.f64 2 beta))) 2))
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(*.f64 4 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
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(*.f64 -4 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha))
(*.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) -4)
(/.f64 (*.f64 -4 (-.f64 (neg.f64 beta) (+.f64 2 beta))) alpha)
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(pow.f64 (-.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
(pow.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) -1) 2)
(pow.f64 (+.f64 -1 (/.f64 beta (+.f64 2 beta))) 2)
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4
(+.f64 (*.f64 -4 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) 4)
(fma.f64 -4 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 4)
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4
(+.f64 4 (*.f64 4 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)))
(+.f64 4 (*.f64 4 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha)))
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2
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(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2))) 2) (pow.f64 (cbrt.f64 (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)) (cbrt.f64 (/.f64 (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)) (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) 2)) (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) 2))) 2) (pow.f64 (cbrt.f64 (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) 2)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 2)) (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 2))) 2) (pow.f64 (cbrt.f64 (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))) 2)))
(pow.f64 (/.f64 (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)) (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 1)
(/.f64 (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) 2)) (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))
(/.f64 (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 2)) (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)) (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 2)
(/.f64 (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) 2)) (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))
(/.f64 (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 2)) (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)) (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 3)
(/.f64 (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) 2)) (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))
(/.f64 (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 2)) (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))))
(pow.f64 (pow.f64 (/.f64 (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)) (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 3) 1/3)
(/.f64 (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) 2)) (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))
(/.f64 (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 2)) (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))))
(pow.f64 (/.f64 (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2))) -1)
(/.f64 1 (/.f64 (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) 2))))
(/.f64 1 (/.f64 (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 2))))
(neg.f64 (/.f64 (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)) (-.f64 -3 (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (neg.f64 (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) 2))) (-.f64 -3 (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 (+.f64 alpha 2) beta))))
(/.f64 (neg.f64 (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 2))) (-.f64 -3 (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 2 (+.f64 alpha beta)))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)) (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) 2)) (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) 2))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 2)) (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)) (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(/.f64 (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) 2)) (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))
(/.f64 (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 2)) (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)) (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))
(/.f64 (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) 2)) (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))
(/.f64 (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 2)) (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)) (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 3))
(/.f64 (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) 2)) (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))
(/.f64 (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 2)) (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)) 3) (pow.f64 (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3)))
(/.f64 (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) 2)) (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))
(/.f64 (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 2)) (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)) (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(/.f64 (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) 2)) (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))
(/.f64 (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 2)) (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))))
(exp.f64 (log.f64 (/.f64 (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)) (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(/.f64 (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) 2)) (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))
(/.f64 (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 2)) (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)) (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 1))
(/.f64 (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) 2)) (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))
(/.f64 (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 2)) (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)) (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(/.f64 (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) 2)) (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))
(/.f64 (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 2)) (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))))

localize53.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
1.2b
(*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (neg.f64 alpha))
2.1b
(*.f64 (*.f64 alpha (neg.f64 alpha)) (*.f64 (+.f64 beta 1) -2))
5.2b
(+.f64 (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (neg.f64 alpha)) (*.f64 (*.f64 alpha (neg.f64 alpha)) (*.f64 (+.f64 beta 1) -2)))
22.3b
(/.f64 (+.f64 (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (neg.f64 alpha)) (*.f64 (*.f64 alpha (neg.f64 alpha)) (*.f64 (+.f64 beta 1) -2))) (*.f64 (*.f64 alpha (neg.f64 alpha)) (neg.f64 alpha)))
Compiler

Compiled 170 to 95 computations (44.1% saved)

series7.0ms (0%)

Counts
4 → 96
Calls

24 calls:

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

rewrite110.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
720×associate-+l+
488×add-sqr-sqrt
474×*-un-lft-identity
472×pow1
450×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
021238
1478182
27182182
Stop Event
node limit
Counts
4 → 128
Calls
Call 1
Inputs
(/.f64 (+.f64 (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (neg.f64 alpha)) (*.f64 (*.f64 alpha (neg.f64 alpha)) (*.f64 (+.f64 beta 1) -2))) (*.f64 (*.f64 alpha (neg.f64 alpha)) (neg.f64 alpha)))
(+.f64 (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (neg.f64 alpha)) (*.f64 (*.f64 alpha (neg.f64 alpha)) (*.f64 (+.f64 beta 1) -2)))
(*.f64 (*.f64 alpha (neg.f64 alpha)) (*.f64 (+.f64 beta 1) -2))
(*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (neg.f64 alpha))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha (*.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 -2 beta))))) (pow.f64 alpha 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha (*.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 -2 beta))))) (pow.f64 alpha 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha (*.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 -2 beta))))) (/.f64 1 (pow.f64 alpha 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha (*.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 -2 beta))))) (pow.f64 alpha 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha (*.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 -2 beta))))) (pow.f64 alpha 3))) (sqrt.f64 (/.f64 (fma.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha (*.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 -2 beta))))) (pow.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha (*.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 -2 beta)))))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha (*.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 -2 beta)))))) (/.f64 1 (pow.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (fma.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha (*.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 -2 beta)))))) alpha) (pow.f64 (/.f64 (cbrt.f64 (fma.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha (*.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 -2 beta)))))) alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (cbrt.f64 (fma.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha (*.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 -2 beta)))))) alpha) 2) (/.f64 (cbrt.f64 (fma.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha (*.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 -2 beta)))))) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha (*.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 -2 beta)))))) 2) (*.f64 (cbrt.f64 (fma.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha (*.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 -2 beta)))))) (/.f64 1 (pow.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha (*.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 -2 beta))))) (*.f64 alpha alpha)) (/.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 alpha 3)) (fma.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha (*.f64 alpha (*.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 -2 beta)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 -2 beta)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 alpha (sqrt.f64 (+.f64 -2 (*.f64 -2 beta)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 -2 beta))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 -2 beta)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 -2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 -2 beta)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 alpha alpha)) (+.f64 -2 (*.f64 -2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 -2 beta)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 -2 beta)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 -2 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 -2 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 -2 beta))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 -2 beta))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 alpha (pow.f64 (+.f64 beta 2) 2)) (*.f64 alpha (*.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 alpha (*.f64 beta (+.f64 beta 2))) (*.f64 alpha (pow.f64 (+.f64 beta 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) alpha) (*.f64 (*.f64 beta (+.f64 beta 2)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 beta (+.f64 beta 2)) alpha) (*.f64 (pow.f64 (+.f64 beta 2) 2) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 alpha (-.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 (*.f64 beta (+.f64 beta 2)) 2))) (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 alpha (+.f64 (pow.f64 (+.f64 beta 2) 6) (pow.f64 (*.f64 beta (+.f64 beta 2)) 3))) (+.f64 (pow.f64 (+.f64 beta 2) 4) (-.f64 (pow.f64 (*.f64 beta (+.f64 beta 2)) 2) (*.f64 (pow.f64 (+.f64 beta 2) 3) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 (*.f64 beta (+.f64 beta 2)) 2)) alpha) (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 6) (pow.f64 (*.f64 beta (+.f64 beta 2)) 3)) alpha) (+.f64 (pow.f64 (+.f64 beta 2) 4) (-.f64 (pow.f64 (*.f64 beta (+.f64 beta 2)) 2) (*.f64 (pow.f64 (+.f64 beta 2) 3) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 alpha) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha)))))))

simplify137.0ms (0.7%)

Algorithm
egg-herbie
Rules
1260×associate-+r+
1054×associate-+l+
700×+-commutative
652×associate--r+
638×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
034812822
196311788
2499511738
Stop Event
node limit
Counts
224 → 262
Calls
Call 1
Inputs
(/.f64 (+.f64 (*.f64 2 (pow.f64 alpha 2)) (*.f64 -4 alpha)) (pow.f64 alpha 3))
(+.f64 (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (+.f64 (/.f64 2 alpha) (/.f64 -4 (pow.f64 alpha 2))))
(+.f64 (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (+.f64 (/.f64 2 alpha) (+.f64 (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (/.f64 -4 (pow.f64 alpha 2)))))
(+.f64 (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (+.f64 (/.f64 2 alpha) (+.f64 (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (/.f64 -4 (pow.f64 alpha 2)))))
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(+.f64 (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(+.f64 (*.f64 -1 (*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))) (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))) (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2)))
(+.f64 (*.f64 2 (/.f64 (+.f64 beta 1) alpha)) (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))))
(+.f64 (*.f64 2 (/.f64 (+.f64 beta 1) alpha)) (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))))
(+.f64 (*.f64 2 (/.f64 (+.f64 beta 1) alpha)) (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(+.f64 (*.f64 2 (/.f64 (+.f64 beta 1) alpha)) (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))))
(+.f64 (*.f64 2 (/.f64 (+.f64 beta 1) alpha)) (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))))
(+.f64 (*.f64 2 (/.f64 (+.f64 beta 1) alpha)) (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(+.f64 (*.f64 2 (/.f64 (+.f64 beta 1) alpha)) (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))))
(+.f64 (*.f64 2 (/.f64 (+.f64 beta 1) alpha)) (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))))
(+.f64 (*.f64 2 (/.f64 (+.f64 beta 1) alpha)) (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))))
(+.f64 (*.f64 2 (pow.f64 alpha 2)) (*.f64 -4 alpha))
(+.f64 (*.f64 beta (+.f64 (*.f64 2 (pow.f64 alpha 2)) (*.f64 -6 alpha))) (+.f64 (*.f64 2 (pow.f64 alpha 2)) (*.f64 -4 alpha)))
(+.f64 (*.f64 -2 (*.f64 (pow.f64 beta 2) alpha)) (+.f64 (*.f64 beta (+.f64 (*.f64 2 (pow.f64 alpha 2)) (*.f64 -6 alpha))) (+.f64 (*.f64 2 (pow.f64 alpha 2)) (*.f64 -4 alpha))))
(+.f64 (*.f64 -2 (*.f64 (pow.f64 beta 2) alpha)) (+.f64 (*.f64 beta (+.f64 (*.f64 2 (pow.f64 alpha 2)) (*.f64 -6 alpha))) (+.f64 (*.f64 2 (pow.f64 alpha 2)) (*.f64 -4 alpha))))
(*.f64 -2 (*.f64 (pow.f64 beta 2) alpha))
(+.f64 (*.f64 -2 (*.f64 (pow.f64 beta 2) alpha)) (*.f64 beta (+.f64 (*.f64 2 (pow.f64 alpha 2)) (*.f64 -6 alpha))))
(+.f64 (*.f64 -2 (*.f64 (pow.f64 beta 2) alpha)) (+.f64 (*.f64 beta (+.f64 (*.f64 2 (pow.f64 alpha 2)) (*.f64 -6 alpha))) (+.f64 (*.f64 2 (pow.f64 alpha 2)) (*.f64 -4 alpha))))
(+.f64 (*.f64 -2 (*.f64 (pow.f64 beta 2) alpha)) (+.f64 (*.f64 beta (+.f64 (*.f64 2 (pow.f64 alpha 2)) (*.f64 -6 alpha))) (+.f64 (*.f64 2 (pow.f64 alpha 2)) (*.f64 -4 alpha))))
(*.f64 -2 (*.f64 (pow.f64 beta 2) alpha))
(+.f64 (*.f64 -2 (*.f64 (pow.f64 beta 2) alpha)) (*.f64 -1 (*.f64 beta (+.f64 (*.f64 6 alpha) (*.f64 -2 (pow.f64 alpha 2))))))
(+.f64 (*.f64 -2 (*.f64 (pow.f64 beta 2) alpha)) (+.f64 (*.f64 -1 (*.f64 beta (+.f64 (*.f64 6 alpha) (*.f64 -2 (pow.f64 alpha 2))))) (+.f64 (*.f64 2 (pow.f64 alpha 2)) (*.f64 -4 alpha))))
(+.f64 (*.f64 -2 (*.f64 (pow.f64 beta 2) alpha)) (+.f64 (*.f64 -1 (*.f64 beta (+.f64 (*.f64 6 alpha) (*.f64 -2 (pow.f64 alpha 2))))) (+.f64 (*.f64 2 (pow.f64 alpha 2)) (*.f64 -4 alpha))))
(*.f64 -1 (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) alpha))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) alpha)) (*.f64 2 (*.f64 (+.f64 beta 1) (pow.f64 alpha 2))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) alpha)) (*.f64 2 (*.f64 (+.f64 beta 1) (pow.f64 alpha 2))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) alpha)) (*.f64 2 (*.f64 (+.f64 beta 1) (pow.f64 alpha 2))))
(*.f64 2 (*.f64 (+.f64 beta 1) (pow.f64 alpha 2)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) alpha)) (*.f64 2 (*.f64 (+.f64 beta 1) (pow.f64 alpha 2))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) alpha)) (*.f64 2 (*.f64 (+.f64 beta 1) (pow.f64 alpha 2))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) alpha)) (*.f64 2 (*.f64 (+.f64 beta 1) (pow.f64 alpha 2))))
(*.f64 2 (*.f64 (+.f64 beta 1) (pow.f64 alpha 2)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) alpha)) (*.f64 2 (*.f64 (+.f64 beta 1) (pow.f64 alpha 2))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) alpha)) (*.f64 2 (*.f64 (+.f64 beta 1) (pow.f64 alpha 2))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) alpha)) (*.f64 2 (*.f64 (+.f64 beta 1) (pow.f64 alpha 2))))
(*.f64 2 (*.f64 (+.f64 beta 1) (pow.f64 alpha 2)))
(*.f64 2 (*.f64 (+.f64 beta 1) (pow.f64 alpha 2)))
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(/.f64 (pow.f64 (fma.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha (*.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 -2 beta))))) 2) (fma.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha (*.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 -2 beta))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha) 3) (pow.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 -2 beta)))) 3)) (+.f64 (pow.f64 (fma.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha (*.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 -2 beta))))) 2) (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) (*.f64 alpha (*.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 -2 beta))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha) 3) (pow.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 -2 beta)))) 3)) (+.f64 (pow.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 -2 beta)))) 2) (-.f64 (pow.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha) 2) (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) (*.f64 alpha (*.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 -2 beta)))))))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha (*.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 -2 beta))))) 2)) (fma.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha (*.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 -2 beta))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha) 3) (pow.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 -2 beta)))) 3))) (+.f64 (pow.f64 (fma.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha (*.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 -2 beta))))) 2) (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) (*.f64 alpha (*.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 -2 beta))))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha) 3) (pow.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 -2 beta)))) 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha (*.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 -2 beta))))) 2) (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) (*.f64 alpha (*.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 -2 beta)))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha) 3) (pow.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 -2 beta)))) 3)) (+.f64 (pow.f64 (fma.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha (*.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 -2 beta))))) 2) (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) (*.f64 alpha (*.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 -2 beta))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 -2 beta)))) 2) (pow.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha) 2)) (fma.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha (*.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 -2 beta))))))
(pow.f64 (fma.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha (*.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 -2 beta))))) 1)
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha (*.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 -2 beta)))))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha (*.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 -2 beta)))))) 3)
(pow.f64 (pow.f64 (fma.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha (*.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 -2 beta))))) 3) 1/3)
(neg.f64 (fma.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha (*.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 -2 beta))))))
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha (*.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 -2 beta))))) 2))
(log.f64 (exp.f64 (fma.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha (*.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 -2 beta)))))))
(log.f64 (/.f64 (pow.f64 (exp.f64 alpha) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2)))) (pow.f64 (exp.f64 (*.f64 alpha alpha)) (+.f64 -2 (*.f64 -2 beta)))))
(log.f64 (/.f64 1 (exp.f64 (fma.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha (*.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 -2 beta))))))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha (*.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 -2 beta))))))))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha (*.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 -2 beta))))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha (*.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 -2 beta)))))))
(exp.f64 (log.f64 (fma.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha (*.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 -2 beta)))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha (*.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 -2 beta)))))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha (*.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 -2 beta)))))))
(fma.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha (*.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 -2 beta)))))
(fma.f64 alpha (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) (*.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 -2 beta)))))
(fma.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 -2 beta))) (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha))
(fma.f64 1 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha) (*.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 -2 beta)))))
(fma.f64 1 (*.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 -2 beta)))) (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha))
(fma.f64 (+.f64 -2 (*.f64 -2 beta)) (*.f64 alpha alpha) (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha))
(fma.f64 (*.f64 alpha (sqrt.f64 (+.f64 -2 (*.f64 -2 beta)))) (*.f64 alpha (sqrt.f64 (+.f64 -2 (*.f64 -2 beta)))) (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha))
(fma.f64 (sqrt.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha)) (sqrt.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha)) (*.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 -2 beta)))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 -2 beta))))) 2) (cbrt.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 -2 beta))))) (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha)) 2) (cbrt.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha)) (*.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 -2 beta)))))
(fma.f64 (*.f64 alpha alpha) (+.f64 -2 (*.f64 -2 beta)) (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha))
(fma.f64 (*.f64 alpha (*.f64 alpha (+.f64 beta 1))) -2 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha))
(-.f64 (exp.f64 (log1p.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 -2 beta)))))) 1)
(pow.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 -2 beta)))) 1)
(pow.f64 (*.f64 alpha (sqrt.f64 (+.f64 -2 (*.f64 -2 beta)))) 2)
(pow.f64 (cbrt.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 -2 beta))))) 3)
(pow.f64 (pow.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 -2 beta)))) 3) 1/3)
(neg.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 -2 beta)))))
(sqrt.f64 (pow.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 -2 beta)))) 2))
(log.f64 (pow.f64 (exp.f64 (*.f64 alpha alpha)) (+.f64 -2 (*.f64 -2 beta))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 -2 beta)))))))
(cbrt.f64 (pow.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 -2 beta)))) 3))
(expm1.f64 (log1p.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 -2 beta))))))
(exp.f64 (log.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 -2 beta))))))
(exp.f64 (*.f64 (log.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 -2 beta))))) 1))
(log1p.f64 (expm1.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 -2 beta))))))
(+.f64 (*.f64 alpha (pow.f64 (+.f64 beta 2) 2)) (*.f64 alpha (*.f64 beta (+.f64 beta 2))))
(+.f64 (*.f64 alpha (*.f64 beta (+.f64 beta 2))) (*.f64 alpha (pow.f64 (+.f64 beta 2) 2)))
(+.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) alpha) (*.f64 (*.f64 beta (+.f64 beta 2)) alpha))
(+.f64 (*.f64 (*.f64 beta (+.f64 beta 2)) alpha) (*.f64 (pow.f64 (+.f64 beta 2) 2) alpha))
(-.f64 0 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha))) 1)
(/.f64 (*.f64 alpha (-.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 (*.f64 beta (+.f64 beta 2)) 2))) (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) beta)))
(/.f64 (*.f64 alpha (+.f64 (pow.f64 (+.f64 beta 2) 6) (pow.f64 (*.f64 beta (+.f64 beta 2)) 3))) (+.f64 (pow.f64 (+.f64 beta 2) 4) (-.f64 (pow.f64 (*.f64 beta (+.f64 beta 2)) 2) (*.f64 (pow.f64 (+.f64 beta 2) 3) beta))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 (*.f64 beta (+.f64 beta 2)) 2)) alpha) (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) beta)))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 6) (pow.f64 (*.f64 beta (+.f64 beta 2)) 3)) alpha) (+.f64 (pow.f64 (+.f64 beta 2) 4) (-.f64 (pow.f64 (*.f64 beta (+.f64 beta 2)) 2) (*.f64 (pow.f64 (+.f64 beta 2) 3) beta))))
(pow.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha) 1)
(pow.f64 (sqrt.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha)) 2)
(pow.f64 (cbrt.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha)) 3)
(pow.f64 (pow.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha) 3) 1/3)
(neg.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha) 2))
(log.f64 (pow.f64 (exp.f64 alpha) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha) 3))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha)))
(exp.f64 (log.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha)) 1))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha)))
Outputs
(/.f64 (+.f64 (*.f64 2 (pow.f64 alpha 2)) (*.f64 -4 alpha)) (pow.f64 alpha 3))
(/.f64 (fma.f64 2 (*.f64 alpha alpha) (*.f64 alpha -4)) (pow.f64 alpha 3))
(+.f64 (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (+.f64 (/.f64 2 alpha) (/.f64 -4 (pow.f64 alpha 2))))
(fma.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (*.f64 alpha alpha))) (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))))
(+.f64 (/.f64 -4 (*.f64 alpha alpha)) (fma.f64 beta (+.f64 (/.f64 2 alpha) (/.f64 -6 (*.f64 alpha alpha))) (/.f64 2 alpha)))
(+.f64 (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (+.f64 (/.f64 2 alpha) (+.f64 (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (/.f64 -4 (pow.f64 alpha 2)))))
(fma.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (*.f64 alpha alpha))) (+.f64 (/.f64 2 alpha) (fma.f64 -2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 -4 (*.f64 alpha alpha)))))
(+.f64 (fma.f64 -2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha)) (/.f64 -4 (*.f64 alpha alpha))) (fma.f64 beta (+.f64 (/.f64 2 alpha) (/.f64 -6 (*.f64 alpha alpha))) (/.f64 2 alpha)))
(+.f64 (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (+.f64 (/.f64 2 alpha) (+.f64 (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (/.f64 -4 (pow.f64 alpha 2)))))
(fma.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (*.f64 alpha alpha))) (+.f64 (/.f64 2 alpha) (fma.f64 -2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 -4 (*.f64 alpha alpha)))))
(+.f64 (fma.f64 -2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha)) (/.f64 -4 (*.f64 alpha alpha))) (fma.f64 beta (+.f64 (/.f64 2 alpha) (/.f64 -6 (*.f64 alpha alpha))) (/.f64 2 alpha)))
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(/.f64 (*.f64 -2 (*.f64 beta beta)) (*.f64 alpha alpha))
(*.f64 -2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha)))
(+.f64 (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(fma.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (*.f64 alpha alpha))) (/.f64 (*.f64 -2 (*.f64 beta beta)) (*.f64 alpha alpha)))
(fma.f64 beta (+.f64 (/.f64 2 alpha) (/.f64 -6 (*.f64 alpha alpha))) (*.f64 -2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(fma.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (*.f64 alpha alpha))) (+.f64 (/.f64 2 alpha) (fma.f64 -2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 -4 (*.f64 alpha alpha)))))
(+.f64 (fma.f64 -2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha)) (/.f64 -4 (*.f64 alpha alpha))) (fma.f64 beta (+.f64 (/.f64 2 alpha) (/.f64 -6 (*.f64 alpha alpha))) (/.f64 2 alpha)))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(fma.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (*.f64 alpha alpha))) (+.f64 (/.f64 2 alpha) (fma.f64 -2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 -4 (*.f64 alpha alpha)))))
(+.f64 (fma.f64 -2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha)) (/.f64 -4 (*.f64 alpha alpha))) (fma.f64 beta (+.f64 (/.f64 2 alpha) (/.f64 -6 (*.f64 alpha alpha))) (/.f64 2 alpha)))
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(/.f64 (*.f64 -2 (*.f64 beta beta)) (*.f64 alpha alpha))
(*.f64 -2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha)))
(+.f64 (*.f64 -1 (*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(fma.f64 -1 (*.f64 beta (-.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha))) (/.f64 (*.f64 -2 (*.f64 beta beta)) (*.f64 alpha alpha)))
(-.f64 (*.f64 -2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))) (*.f64 beta (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))) (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (fma.f64 -1 (*.f64 beta (-.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha))) (+.f64 (/.f64 2 alpha) (/.f64 (*.f64 -2 (*.f64 beta beta)) (*.f64 alpha alpha)))) (/.f64 4 (*.f64 alpha alpha)))
(+.f64 (/.f64 -4 (*.f64 alpha alpha)) (-.f64 (fma.f64 -2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha)) (/.f64 2 alpha)) (*.f64 beta (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha)))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))) (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (fma.f64 -1 (*.f64 beta (-.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha))) (+.f64 (/.f64 2 alpha) (/.f64 (*.f64 -2 (*.f64 beta beta)) (*.f64 alpha alpha)))) (/.f64 4 (*.f64 alpha alpha)))
(+.f64 (/.f64 -4 (*.f64 alpha alpha)) (-.f64 (fma.f64 -2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha)) (/.f64 2 alpha)) (*.f64 beta (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha)))))
(*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2)))
(neg.f64 (/.f64 (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)))
(/.f64 (*.f64 (+.f64 2 beta) (neg.f64 (+.f64 2 (+.f64 beta beta)))) (*.f64 alpha alpha))
(+.f64 (*.f64 2 (/.f64 (+.f64 beta 1) alpha)) (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))))
(fma.f64 2 (/.f64 (+.f64 beta 1) alpha) (neg.f64 (/.f64 (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))))
(-.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) (*.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) (/.f64 (+.f64 2 beta) alpha)))
(+.f64 (*.f64 2 (/.f64 (+.f64 beta 1) alpha)) (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))))
(fma.f64 2 (/.f64 (+.f64 beta 1) alpha) (neg.f64 (/.f64 (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))))
(-.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) (*.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) (/.f64 (+.f64 2 beta) alpha)))
(+.f64 (*.f64 2 (/.f64 (+.f64 beta 1) alpha)) (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))))
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(*.f64 alpha (+.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (*.f64 alpha (fma.f64 beta -2 -2))))
(fma.f64 1 (*.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 -2 beta)))) (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha))
(fma.f64 alpha (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 (*.f64 alpha alpha) (+.f64 -2 (*.f64 beta -2))))
(*.f64 alpha (+.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (*.f64 alpha (fma.f64 beta -2 -2))))
(fma.f64 (+.f64 -2 (*.f64 -2 beta)) (*.f64 alpha alpha) (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha))
(fma.f64 alpha (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 (*.f64 alpha alpha) (+.f64 -2 (*.f64 beta -2))))
(*.f64 alpha (+.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (*.f64 alpha (fma.f64 beta -2 -2))))
(fma.f64 (*.f64 alpha (sqrt.f64 (+.f64 -2 (*.f64 -2 beta)))) (*.f64 alpha (sqrt.f64 (+.f64 -2 (*.f64 -2 beta)))) (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha))
(+.f64 (pow.f64 (*.f64 alpha (sqrt.f64 (+.f64 -2 (*.f64 beta -2)))) 2) (*.f64 alpha (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta)))))
(+.f64 (*.f64 alpha (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))) (pow.f64 (*.f64 alpha (sqrt.f64 (fma.f64 beta -2 -2))) 2))
(fma.f64 (sqrt.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha)) (sqrt.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha)) (*.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 -2 beta)))))
(fma.f64 alpha (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 (*.f64 alpha alpha) (+.f64 -2 (*.f64 beta -2))))
(*.f64 alpha (+.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (*.f64 alpha (fma.f64 beta -2 -2))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 -2 beta))))) 2) (cbrt.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 -2 beta))))) (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha))
(fma.f64 alpha (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 (*.f64 alpha alpha) (+.f64 -2 (*.f64 beta -2))))
(*.f64 alpha (+.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (*.f64 alpha (fma.f64 beta -2 -2))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha)) 2) (cbrt.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha)) (*.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 -2 beta)))))
(fma.f64 alpha (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 (*.f64 alpha alpha) (+.f64 -2 (*.f64 beta -2))))
(*.f64 alpha (+.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (*.f64 alpha (fma.f64 beta -2 -2))))
(fma.f64 (*.f64 alpha alpha) (+.f64 -2 (*.f64 -2 beta)) (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha))
(fma.f64 alpha (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 (*.f64 alpha alpha) (+.f64 -2 (*.f64 beta -2))))
(*.f64 alpha (+.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (*.f64 alpha (fma.f64 beta -2 -2))))
(fma.f64 (*.f64 alpha (*.f64 alpha (+.f64 beta 1))) -2 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha))
(fma.f64 alpha (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 (*.f64 alpha alpha) (+.f64 -2 (*.f64 beta -2))))
(*.f64 alpha (+.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (*.f64 alpha (fma.f64 beta -2 -2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 -2 beta)))))) 1)
(*.f64 (*.f64 alpha alpha) (+.f64 -2 (*.f64 beta -2)))
(*.f64 alpha (*.f64 alpha (fma.f64 beta -2 -2)))
(pow.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 -2 beta)))) 1)
(*.f64 (*.f64 alpha alpha) (+.f64 -2 (*.f64 beta -2)))
(*.f64 alpha (*.f64 alpha (fma.f64 beta -2 -2)))
(pow.f64 (*.f64 alpha (sqrt.f64 (+.f64 -2 (*.f64 -2 beta)))) 2)
(pow.f64 (*.f64 alpha (sqrt.f64 (+.f64 -2 (*.f64 beta -2)))) 2)
(pow.f64 (*.f64 alpha (sqrt.f64 (fma.f64 beta -2 -2))) 2)
(pow.f64 (cbrt.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 -2 beta))))) 3)
(*.f64 (*.f64 alpha alpha) (+.f64 -2 (*.f64 beta -2)))
(*.f64 alpha (*.f64 alpha (fma.f64 beta -2 -2)))
(pow.f64 (pow.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 -2 beta)))) 3) 1/3)
(*.f64 (*.f64 alpha alpha) (+.f64 -2 (*.f64 beta -2)))
(*.f64 alpha (*.f64 alpha (fma.f64 beta -2 -2)))
(neg.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 -2 beta)))))
(*.f64 (neg.f64 alpha) (*.f64 alpha (+.f64 -2 (*.f64 beta -2))))
(*.f64 (*.f64 alpha alpha) (neg.f64 (fma.f64 beta -2 -2)))
(sqrt.f64 (pow.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 -2 beta)))) 2))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 alpha alpha) (+.f64 -2 (*.f64 beta -2))) 2))
(fabs.f64 (*.f64 alpha (*.f64 alpha (fma.f64 beta -2 -2))))
(log.f64 (pow.f64 (exp.f64 (*.f64 alpha alpha)) (+.f64 -2 (*.f64 -2 beta))))
(*.f64 (*.f64 alpha alpha) (+.f64 -2 (*.f64 beta -2)))
(*.f64 alpha (*.f64 alpha (fma.f64 beta -2 -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 -2 beta)))))))
(*.f64 (*.f64 alpha alpha) (+.f64 -2 (*.f64 beta -2)))
(*.f64 alpha (*.f64 alpha (fma.f64 beta -2 -2)))
(cbrt.f64 (pow.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 -2 beta)))) 3))
(*.f64 (*.f64 alpha alpha) (+.f64 -2 (*.f64 beta -2)))
(*.f64 alpha (*.f64 alpha (fma.f64 beta -2 -2)))
(expm1.f64 (log1p.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 -2 beta))))))
(*.f64 (*.f64 alpha alpha) (+.f64 -2 (*.f64 beta -2)))
(*.f64 alpha (*.f64 alpha (fma.f64 beta -2 -2)))
(exp.f64 (log.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 -2 beta))))))
(*.f64 (*.f64 alpha alpha) (+.f64 -2 (*.f64 beta -2)))
(*.f64 alpha (*.f64 alpha (fma.f64 beta -2 -2)))
(exp.f64 (*.f64 (log.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 -2 beta))))) 1))
(*.f64 (*.f64 alpha alpha) (+.f64 -2 (*.f64 beta -2)))
(*.f64 alpha (*.f64 alpha (fma.f64 beta -2 -2)))
(log1p.f64 (expm1.f64 (*.f64 alpha (*.f64 alpha (+.f64 -2 (*.f64 -2 beta))))))
(*.f64 (*.f64 alpha alpha) (+.f64 -2 (*.f64 beta -2)))
(*.f64 alpha (*.f64 alpha (fma.f64 beta -2 -2)))
(+.f64 (*.f64 alpha (pow.f64 (+.f64 beta 2) 2)) (*.f64 alpha (*.f64 beta (+.f64 beta 2))))
(*.f64 alpha (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta))))
(*.f64 alpha (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))))
(+.f64 (*.f64 alpha (*.f64 beta (+.f64 beta 2))) (*.f64 alpha (pow.f64 (+.f64 beta 2) 2)))
(*.f64 alpha (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta))))
(*.f64 alpha (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))))
(+.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) alpha) (*.f64 (*.f64 beta (+.f64 beta 2)) alpha))
(*.f64 alpha (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta))))
(*.f64 alpha (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))))
(+.f64 (*.f64 (*.f64 beta (+.f64 beta 2)) alpha) (*.f64 (pow.f64 (+.f64 beta 2) 2) alpha))
(*.f64 alpha (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta))))
(*.f64 alpha (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))))
(-.f64 0 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha))
(*.f64 (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta))) (neg.f64 alpha))
(*.f64 alpha (*.f64 (+.f64 2 beta) (neg.f64 (+.f64 2 (+.f64 beta beta)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha))) 1)
(*.f64 alpha (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta))))
(*.f64 alpha (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))))
(/.f64 (*.f64 alpha (-.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 (*.f64 beta (+.f64 beta 2)) 2))) (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) beta)))
(*.f64 (/.f64 alpha (+.f64 2 beta)) (/.f64 (-.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 (*.f64 beta (+.f64 2 beta)) 2)) (+.f64 beta (-.f64 2 beta))))
(*.f64 (/.f64 alpha (+.f64 2 beta)) (/.f64 (-.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 (*.f64 beta (+.f64 2 beta)) 2)) (+.f64 2 (-.f64 beta beta))))
(/.f64 (*.f64 alpha (+.f64 (pow.f64 (+.f64 beta 2) 6) (pow.f64 (*.f64 beta (+.f64 beta 2)) 3))) (+.f64 (pow.f64 (+.f64 beta 2) 4) (-.f64 (pow.f64 (*.f64 beta (+.f64 beta 2)) 2) (*.f64 (pow.f64 (+.f64 beta 2) 3) beta))))
(/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 6) (pow.f64 (*.f64 beta (+.f64 2 beta)) 3)) (/.f64 (-.f64 (+.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 (*.f64 beta (+.f64 2 beta)) 2)) (*.f64 beta (pow.f64 (+.f64 2 beta) 3))) alpha))
(*.f64 (/.f64 alpha (-.f64 (+.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 (*.f64 beta (+.f64 2 beta)) 2)) (*.f64 beta (pow.f64 (+.f64 2 beta) 3)))) (+.f64 (pow.f64 (+.f64 2 beta) 6) (pow.f64 (*.f64 beta (+.f64 2 beta)) 3)))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 (*.f64 beta (+.f64 beta 2)) 2)) alpha) (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) beta)))
(*.f64 (/.f64 alpha (+.f64 2 beta)) (/.f64 (-.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 (*.f64 beta (+.f64 2 beta)) 2)) (+.f64 beta (-.f64 2 beta))))
(*.f64 (/.f64 alpha (+.f64 2 beta)) (/.f64 (-.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 (*.f64 beta (+.f64 2 beta)) 2)) (+.f64 2 (-.f64 beta beta))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 6) (pow.f64 (*.f64 beta (+.f64 beta 2)) 3)) alpha) (+.f64 (pow.f64 (+.f64 beta 2) 4) (-.f64 (pow.f64 (*.f64 beta (+.f64 beta 2)) 2) (*.f64 (pow.f64 (+.f64 beta 2) 3) beta))))
(/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 6) (pow.f64 (*.f64 beta (+.f64 2 beta)) 3)) (/.f64 (-.f64 (+.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 (*.f64 beta (+.f64 2 beta)) 2)) (*.f64 beta (pow.f64 (+.f64 2 beta) 3))) alpha))
(*.f64 (/.f64 alpha (-.f64 (+.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 (*.f64 beta (+.f64 2 beta)) 2)) (*.f64 beta (pow.f64 (+.f64 2 beta) 3)))) (+.f64 (pow.f64 (+.f64 2 beta) 6) (pow.f64 (*.f64 beta (+.f64 2 beta)) 3)))
(pow.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha) 1)
(*.f64 alpha (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta))))
(*.f64 alpha (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))))
(pow.f64 (sqrt.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha)) 2)
(*.f64 alpha (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta))))
(*.f64 alpha (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha)) 3)
(*.f64 alpha (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta))))
(*.f64 alpha (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))))
(pow.f64 (pow.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha) 3) 1/3)
(*.f64 alpha (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta))))
(*.f64 alpha (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))))
(neg.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha))
(*.f64 (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta))) (neg.f64 alpha))
(*.f64 alpha (*.f64 (+.f64 2 beta) (neg.f64 (+.f64 2 (+.f64 beta beta)))))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha) 2))
(sqrt.f64 (pow.f64 (*.f64 alpha (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta)))) 2))
(fabs.f64 (*.f64 alpha (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))))
(log.f64 (pow.f64 (exp.f64 alpha) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2)))))
(*.f64 alpha (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta))))
(*.f64 alpha (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha))))
(*.f64 alpha (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta))))
(*.f64 alpha (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha) 3))
(*.f64 alpha (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta))))
(*.f64 alpha (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha)))
(*.f64 alpha (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta))))
(*.f64 alpha (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))))
(exp.f64 (log.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha)))
(*.f64 alpha (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta))))
(*.f64 alpha (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha)) 1))
(*.f64 alpha (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta))))
(*.f64 alpha (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha)))
(*.f64 alpha (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta))))
(*.f64 alpha (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))))

eval2.3s (12.8%)

Compiler

Compiled 118598 to 84172 computations (29% saved)

prune775.0ms (4.2%)

Pruning

20 alts after pruning (12 fresh and 8 done)

PrunedKeptTotal
New190871915
Fresh055
Picked101
Done4812
Total1913201933
Error
0.0b
Counts
1933 → 20
Alt Table
Click to see full alt table
StatusErrorProgram
17.4b
(/.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)) (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 3) 1/3) 2)
18.3b
(/.f64 (/.f64 (-.f64 4 (*.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) (+.f64 -1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))) (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) 2)
17.4b
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) 2)) (-.f64 -3 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) 2)
44.0b
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
17.4b
(/.f64 (/.f64 1 (/.f64 (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) 2)))) 2)
16.8b
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (fma.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1) (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))))) 2)
16.8b
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 (-.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) 1) 1) 1) (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 (/.f64 alpha (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha)) (+.f64 alpha (+.f64 beta 2))))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))))) 2)
33.8b
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 (-.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) 1) 1) 1) (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (/.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))))) 2)
16.8b
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) (-.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)))) 2)
16.8b
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
17.4b
(/.f64 (-.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) 2)
46.9b
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
31.4b
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
31.9b
(/.f64 (+.f64 (/.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (*.f64 beta (+.f64 beta 2))) 1) 2)
17.4b
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
18.4b
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
33.6b
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
42.1b
(/.f64 2 2)
49.0b
(*.f64 1/2 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))
48.0b
(*.f64 1/2 (/.f64 2 alpha))
Compiler

Compiled 530 to 392 computations (26% saved)

regimes136.0ms (0.7%)

Counts
33 → 2
Calls
Call 1
Inputs
(/.f64 2 2)
(*.f64 1/2 (/.f64 2 alpha))
(/.f64 (+.f64 -1 1) 2)
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
(*.f64 1/2 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(*.f64 1/2 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
(/.f64 (-.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (*.f64 beta (+.f64 beta 2))) 1) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
(/.f64 (+.f64 (/.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (*.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 beta)))) 1) 2)
(/.f64 (/.f64 (-.f64 4 (*.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) (+.f64 -1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))) (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) 2)
(/.f64 (/.f64 (-.f64 4 (*.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))) (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) 2)
(*.f64 1/2 (+.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) (/.f64 (-.f64 (neg.f64 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2))) (*.f64 alpha alpha))))
(/.f64 (*.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)))) 2)
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) 2)) (-.f64 -3 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) 2)
(/.f64 (/.f64 1 (/.f64 (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) 2)))) 2)
(*.f64 1/2 (/.f64 (+.f64 (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (neg.f64 alpha)) (*.f64 (*.f64 alpha (neg.f64 alpha)) (*.f64 (+.f64 beta 1) -2))) (*.f64 (*.f64 alpha (neg.f64 alpha)) (neg.f64 alpha))))
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) (-.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)))) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 (-.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) 1) 1) 1) (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 (/.f64 alpha (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha)) (+.f64 alpha (+.f64 beta 2))))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))))) 2)
(/.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 4 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)) (-.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 3) 1/3) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 (-.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) 1) 1) 1) (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))))) 2)
(/.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 2)) (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1))) 2)
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (pow.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 2)) (*.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (/.f64 (+.f64 alpha (+.f64 beta 2)) beta))) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (*.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) beta))))) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) 1) (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))))) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 (-.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) 1) 1) 1) (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (/.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))))) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (fma.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1) (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))))) 2)
(/.f64 (/.f64 (/.f64 (+.f64 1 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3) 3)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 6) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)))) 2)
Outputs
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 (-.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) 1) 1) 1) (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 (/.f64 alpha (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha)) (+.f64 alpha (+.f64 beta 2))))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))))) 2)
Calls

5 calls:

44.0ms
beta
29.0ms
alpha
18.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
10.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
6.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
Results
ErrorSegmentsBranch
3.6b2alpha
14.9b3beta
0.1b2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
0.1b2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
0.1b2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
Compiler

Compiled 1042 to 718 computations (31.1% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999999995832917
-0.9999677109994548
Compiler

Compiled 20 to 15 computations (25% saved)

regimes96.0ms (0.5%)

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

5 calls:

35.0ms
beta
24.0ms
alpha
17.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
5.0ms
(/.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
ErrorSegmentsBranch
3.6b2alpha
14.9b3beta
0.2b2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
0.2b2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
0.2b2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
Compiler

Compiled 484 to 326 computations (32.6% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999999995832917
-0.9999677109994548
Compiler

Compiled 20 to 15 computations (25% saved)

regimes64.0ms (0.4%)

Counts
14 → 2
Calls
Call 1
Inputs
(/.f64 2 2)
(*.f64 1/2 (/.f64 2 alpha))
(/.f64 (+.f64 -1 1) 2)
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
(*.f64 1/2 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(*.f64 1/2 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
(/.f64 (-.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (*.f64 beta (+.f64 beta 2))) 1) 2)
Outputs
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
Calls

5 calls:

25.0ms
beta
15.0ms
alpha
11.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
4.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
4.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
Results
ErrorSegmentsBranch
3.6b2alpha
15.5b3beta
0.2b2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
0.2b2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
0.2b2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
Compiler

Compiled 179 to 130 computations (27.4% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999999995832917
-0.9999677109994548
Compiler

Compiled 20 to 15 computations (25% saved)

regimes33.0ms (0.2%)

Counts
10 → 2
Calls
Call 1
Inputs
(/.f64 2 2)
(*.f64 1/2 (/.f64 2 alpha))
(/.f64 (+.f64 -1 1) 2)
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
(*.f64 1/2 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(*.f64 1/2 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))))
Outputs
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
Calls

2 calls:

17.0ms
beta
13.0ms
alpha
Results
ErrorSegmentsBranch
4.1b2alpha
16.2b3beta
Compiler

Compiled 82 to 66 computations (19.5% saved)

bsearch15.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
15.0ms
9457825.764064139
4799519458.110016
Results
13.0ms128×body256valid
Compiler

Compiled 212 to 175 computations (17.5% saved)

regimes33.0ms (0.2%)

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

2 calls:

16.0ms
alpha
14.0ms
beta
Results
ErrorSegmentsBranch
8.3b2alpha
16.2b3beta
Compiler

Compiled 62 to 51 computations (17.7% saved)

bsearch17.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
17.0ms
9457825.764064139
4799519458.110016
Results
15.0ms128×body256valid
Compiler

Compiled 212 to 175 computations (17.5% saved)

regimes38.0ms (0.2%)

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

2 calls:

19.0ms
beta
17.0ms
alpha
Results
ErrorSegmentsBranch
18.2b4alpha
17.0b4beta
Compiler

Compiled 44 to 37 computations (15.9% saved)

bsearch54.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
22.0ms
0.39837049094394095
52701.805371751994
19.0ms
2.3085201973805516e-161
3.446540127746196e-159
13.0ms
8.358363197701499e-205
4.882905364846323e-204
Results
23.0ms240×body256valid
18.0ms70×body1024valid
6.0ms36×body512valid
2.0msbody2048valid
Compiler

Compiled 434 to 385 computations (11.3% saved)

regimes32.0ms (0.2%)

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

2 calls:

16.0ms
beta
15.0ms
alpha
Results
ErrorSegmentsBranch
18.3b4alpha
17.1b4beta
Compiler

Compiled 28 to 24 computations (14.3% saved)

bsearch53.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
21.0ms
0.39837049094394095
52701.805371751994
18.0ms
2.3085201973805516e-161
3.446540127746196e-159
14.0ms
8.358363197701499e-205
4.882905364846323e-204
Results
26.0ms249×body256valid
15.0ms66×body1024valid
5.0ms32×body512valid
1.0msbody2048valid
Compiler

Compiled 398 to 358 computations (10.1% saved)

regimes18.0ms (0.1%)

Accuracy

Total -30.2b remaining (-94%)

Threshold costs -30.2b (-94%)

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

2 calls:

8.0ms
alpha
6.0ms
beta
Results
ErrorSegmentsBranch
32.1b2alpha
33.3b2beta
Compiler

Compiled 21 to 18 computations (14.3% saved)

bsearch17.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
17.0ms
9457825.764064139
4799519458.110016
Results
15.0ms128×body256valid
Compiler

Compiled 132 to 119 computations (9.8% saved)

simplify29.0ms (0.2%)

Algorithm
egg-herbie
Rules
66×+-commutative
36×sub-neg
30×*-commutative
20×neg-mul-1
20×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
093771
1130771
2159771
3178771
4194771
5204771
6210771
7213771
8214771
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007019110755897/9007199254740992) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 (-.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) 1) 1) 1) (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 (/.f64 alpha (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha)) (+.f64 alpha (+.f64 beta 2))))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007019110755897/9007199254740992) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007019110755897/9007199254740992) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 alpha 75000000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 9500000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (*.f64 1/2 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)))
(if (<=.f64 beta 3388816750449861/706003489677054374237277210551156965837838477962894381170850482715673457590299624976468480248807499242724466374570999144530824216469597736906638272121736526607699022870679030143158018123175881930939339869708632591433728) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (if (<=.f64 beta 8104522595470689/253266331108459042877954581524118722595974501479640924072000569439126758509088631982403994686712878069348015540240526683495797795130113239006767262824338603946605334680267915264) (*.f64 1/2 (/.f64 2 alpha)) (if (<=.f64 beta 2) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (/.f64 (-.f64 2 (/.f64 2 beta)) 2))))
(if (<=.f64 beta 2118010469031163/706003489677054374237277210551156965837838477962894381170850482715673457590299624976468480248807499242724466374570999144530824216469597736906638272121736526607699022870679030143158018123175881930939339869708632591433728) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (if (<=.f64 beta 6078391946603017/253266331108459042877954581524118722595974501479640924072000569439126758509088631982403994686712878069348015540240526683495797795130113239006767262824338603946605334680267915264) (*.f64 1/2 (/.f64 2 alpha)) (if (<=.f64 beta 2) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (/.f64 2 2))))
(if (<=.f64 alpha 105000000) (/.f64 2 2) (*.f64 1/2 (/.f64 2 alpha)))
(/.f64 2 2)
Outputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007019110755897/9007199254740992) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 (-.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) 1) 1) 1) (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 (/.f64 alpha (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha)) (+.f64 alpha (+.f64 beta 2))))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -9007019110755897/9007199254740992) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 (+.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) 1) -1) -1) (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 (/.f64 alpha (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha)) (+.f64 alpha (+.f64 beta 2))))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -9007019110755897/9007199254740992) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2) (/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 1 (+.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) 1) -1)) (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 (/.f64 alpha (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha)) (+.f64 alpha (+.f64 beta 2))))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -9007019110755897/9007199254740992) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2) (/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 (-.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) 1))) (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 (/.f64 alpha (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha)) (+.f64 alpha (+.f64 beta 2))))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -9007019110755897/9007199254740992) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2) (/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 (+.f64 1 (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)))) (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 (/.f64 alpha (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha)) (+.f64 alpha (+.f64 beta 2))))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007019110755897/9007199254740992) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -9007019110755897/9007199254740992) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -9007019110755897/9007199254740992) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2) (/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007019110755897/9007199254740992) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -9007019110755897/9007199254740992) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))
(if (<=.f64 alpha 75000000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 75000000) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2))
(if (<=.f64 alpha 9500000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (*.f64 1/2 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)))
(if (<=.f64 alpha 9500000) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (*.f64 1/2 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)))
(if (<=.f64 alpha 9500000) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (*.f64 1/2 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)))
(if (<=.f64 beta 3388816750449861/706003489677054374237277210551156965837838477962894381170850482715673457590299624976468480248807499242724466374570999144530824216469597736906638272121736526607699022870679030143158018123175881930939339869708632591433728) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (if (<=.f64 beta 8104522595470689/253266331108459042877954581524118722595974501479640924072000569439126758509088631982403994686712878069348015540240526683495797795130113239006767262824338603946605334680267915264) (*.f64 1/2 (/.f64 2 alpha)) (if (<=.f64 beta 2) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (/.f64 (-.f64 2 (/.f64 2 beta)) 2))))
(if (<=.f64 beta 3388816750449861/706003489677054374237277210551156965837838477962894381170850482715673457590299624976468480248807499242724466374570999144530824216469597736906638272121736526607699022870679030143158018123175881930939339869708632591433728) (/.f64 (+.f64 1 (*.f64 beta 1/2)) 2) (if (<=.f64 beta 8104522595470689/253266331108459042877954581524118722595974501479640924072000569439126758509088631982403994686712878069348015540240526683495797795130113239006767262824338603946605334680267915264) (*.f64 1/2 (/.f64 2 alpha)) (if (<=.f64 beta 2) (/.f64 (+.f64 1 (*.f64 beta 1/2)) 2) (/.f64 (-.f64 2 (/.f64 2 beta)) 2))))
(if (<=.f64 beta 3388816750449861/706003489677054374237277210551156965837838477962894381170850482715673457590299624976468480248807499242724466374570999144530824216469597736906638272121736526607699022870679030143158018123175881930939339869708632591433728) (/.f64 (+.f64 1 (*.f64 beta 1/2)) 2) (if (<=.f64 beta 8104522595470689/253266331108459042877954581524118722595974501479640924072000569439126758509088631982403994686712878069348015540240526683495797795130113239006767262824338603946605334680267915264) (*.f64 1/2 (/.f64 2 alpha)) (if (<=.f64 beta 2) (/.f64 (+.f64 1 (*.f64 beta 1/2)) 2) (/.f64 (+.f64 2 (/.f64 -2 beta)) 2))))
(if (<=.f64 beta 2118010469031163/706003489677054374237277210551156965837838477962894381170850482715673457590299624976468480248807499242724466374570999144530824216469597736906638272121736526607699022870679030143158018123175881930939339869708632591433728) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (if (<=.f64 beta 6078391946603017/253266331108459042877954581524118722595974501479640924072000569439126758509088631982403994686712878069348015540240526683495797795130113239006767262824338603946605334680267915264) (*.f64 1/2 (/.f64 2 alpha)) (if (<=.f64 beta 2) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (/.f64 2 2))))
(if (<=.f64 beta 2118010469031163/706003489677054374237277210551156965837838477962894381170850482715673457590299624976468480248807499242724466374570999144530824216469597736906638272121736526607699022870679030143158018123175881930939339869708632591433728) (/.f64 (+.f64 1 (*.f64 beta 1/2)) 2) (if (<=.f64 beta 6078391946603017/253266331108459042877954581524118722595974501479640924072000569439126758509088631982403994686712878069348015540240526683495797795130113239006767262824338603946605334680267915264) (*.f64 1/2 (/.f64 2 alpha)) (if (<=.f64 beta 2) (/.f64 (+.f64 1 (*.f64 beta 1/2)) 2) 1)))
(if (<=.f64 alpha 105000000) (/.f64 2 2) (*.f64 1/2 (/.f64 2 alpha)))
(if (<=.f64 alpha 105000000) 1 (*.f64 1/2 (/.f64 2 alpha)))
(/.f64 2 2)
1
Compiler

Compiled 301 to 228 computations (24.3% saved)

soundness389.0ms (2.1%)

Algorithm
egg-herbie
Rules
982×associate-/l*
982×associate-/l*
722×fma-def
722×fma-def
710×distribute-lft-in
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01237
12537
24137
36937
411737
525533
646333
784533
8172033
9394033
01237
12537
24137
36937
411737
525533
646333
784533
8172033
9394033
Stop Event
node limit
node limit
Compiler

Compiled 56 to 38 computations (32.1% saved)

end134.0ms (0.7%)

Compiler

Compiled 285 to 208 computations (27% saved)

Profiling

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