Details

Time bar (total: 13.5s)

analyze76.0ms (0.6%)

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 (11.8%)

Results
930.0ms6484×body256valid
452.0ms1056×body1024valid
148.0ms609×body512valid
51.0ms107×body2048valid
Bogosity

preprocess72.0ms (0.5%)

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)

simplify76.0ms (0.6%)

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)

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New415
Fresh101
Picked000
Done000
Total516
Error
28.4%
Counts
6 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
28.4%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
Compiler

Compiled 15 to 11 computations (26.7% saved)

localize18.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.04%
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))
3.23%
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)
Compiler

Compiled 50 to 23 computations (54% saved)

series7.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite120.0ms (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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simplify118.0ms (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)))

eval211.0ms (1.6%)

Compiler

Compiled 12222 to 7914 computations (35.2% saved)

prune83.0ms (0.6%)

Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New33915354
Fresh000
Picked011
Done000
Total33916355
Error
0.07%
Counts
355 → 16
Alt Table
Click to see full alt table
StatusErrorProgram
28.76%
(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) 2)
67.79%
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
28.37%
(/.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 2)
71.5%
(/.f64 (-.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)))) 2)
28.51%
(/.f64 (-.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) 2)
50.17%
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
72.59%
(/.f64 (+.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)))))) 2)
71.87%
(/.f64 (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (fma.f64 -1 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha) (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))))) 2)
28.4%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
29.76%
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
43.52%
(/.f64 (+.f64 (*.f64 (*.f64 (/.f64 1 (+.f64 (+.f64 alpha 2) beta)) (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (/.f64 1 (+.f64 alpha beta))) 1) 2)
73.87%
(/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) 2)
96.29%
(/.f64 (+.f64 -1 1) 2)
28.38%
(/.f64 (*.f64 (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))) 2)
71.51%
(/.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)
65.66%
(/.f64 2 2)
Compiler

Compiled 797 to 593 computations (25.6% saved)

localize54.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.05%
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)
0.08%
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)
2.13%
(-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
3.11%
(+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))
Compiler

Compiled 172 to 100 computations (41.9% saved)

series23.0ms (0.2%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
6.0ms
alpha
@inf
(+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))
2.0ms
alpha
@-inf
(+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))
2.0ms
beta
@0
(+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))
2.0ms
alpha
@0
(+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))
1.0ms
beta
@inf
(+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))

rewrite398.0ms (2.9%)

Algorithm
batch-egg-rewrite
Rules
1718×associate-/l*
400×+-commutative
370×associate-+l+
368×add-sqr-sqrt
356×*-un-lft-identity
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
015130
1361130
25173130
Stop Event
node limit
Counts
4 → 229
Calls
Call 1
Inputs
(+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))
(-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)
Outputs
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simplify245.0ms (1.8%)

Algorithm
egg-herbie
Rules
1422×+-commutative
1386×associate-+r+
1274×associate-*r*
1100×*-commutative
942×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0114834013
1362933635
Stop Event
node limit
Counts
325 → 663
Calls
Call 1
Inputs
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 3))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 3))) (*.f64 beta (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2))))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (*.f64 beta (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 alpha (+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 2) (*.f64 -2 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) alpha) (+.f64 2 alpha))))) (+.f64 2 alpha))) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 2) alpha) (+.f64 2 alpha)))))))))
(+.f64 1 (+.f64 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)))) alpha) (+.f64 2 alpha))) (*.f64 2 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))) alpha) (+.f64 2 alpha))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) alpha)) (+.f64 2 alpha))) (+.f64 (/.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)))) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 2) (*.f64 -2 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) alpha) (+.f64 2 alpha))))))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (*.f64 beta (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 alpha (+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 2) (*.f64 -2 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) alpha) (+.f64 2 alpha))))) (+.f64 2 alpha))) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 2) alpha) (+.f64 2 alpha))))))))))
2
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 2 (*.f64 -2 (/.f64 alpha beta)))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (+.f64 (*.f64 6 (/.f64 1 beta)) (/.f64 alpha beta))))
(-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 (*.f64 -2 (/.f64 alpha beta)) (+.f64 (/.f64 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2) (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (-.f64 (*.f64 -2 alpha) (+.f64 4 (*.f64 2 alpha)))) (pow.f64 beta 2)))))))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (+.f64 (/.f64 alpha beta) (*.f64 6 (/.f64 1 beta)))))
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2
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(/.f64 (-.f64 (+.f64 beta (*.f64 2 (-.f64 beta (*.f64 -1 (+.f64 beta 2))))) (*.f64 -1 (+.f64 beta 2))) alpha)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2))) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)) (+.f64 (/.f64 beta alpha) (*.f64 -1 (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))))))) (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)))
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(*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -1 beta) (*.f64 2 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))) (+.f64 beta 2)) alpha))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -1 beta) (*.f64 2 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2)) (pow.f64 alpha 2))) (/.f64 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2))) (pow.f64 alpha 2)))))
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(+.f64 (/.f64 alpha (+.f64 2 alpha)) 1)
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(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(-.f64 (+.f64 (*.f64 2 (/.f64 alpha beta)) (+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))) (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))
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(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta))
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(-.f64 1 (/.f64 beta (+.f64 beta 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)))
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2
(+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)))
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2
(+.f64 2 (*.f64 -1 (/.f64 (-.f64 (+.f64 beta 2) (*.f64 -1 beta)) alpha)))
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(*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 3)))
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1
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1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (*.f64 -1 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) beta)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 1 (+.f64 (/.f64 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2) (pow.f64 beta 2)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (*.f64 -1 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) beta)) (*.f64 2 (/.f64 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2) (pow.f64 beta 2))))))))
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(/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 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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1
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(/.f64 (-.f64 beta alpha) (/.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2) (-.f64 beta alpha)))
(/.f64 (-.f64 beta alpha) (/.f64 (+.f64 2 (+.f64 beta alpha)) (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))))
(/.f64 (-.f64 beta alpha) (/.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (-.f64 -2 (+.f64 beta alpha))) (neg.f64 (-.f64 beta alpha))))
(/.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) (/.f64 (+.f64 2 (+.f64 beta alpha)) (-.f64 beta alpha)))
(/.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 (*.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (-.f64 beta alpha)) (+.f64 2 (+.f64 beta alpha))) (sqrt.f64 (-.f64 beta alpha))))
(/.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (/.f64 (+.f64 2 (+.f64 beta alpha)) (-.f64 beta alpha))) (sqrt.f64 (-.f64 beta alpha))))
(/.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (-.f64 beta alpha)) (*.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 2 (+.f64 beta alpha))))))
(/.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2) (*.f64 (sqrt.f64 (-.f64 beta alpha)) (-.f64 beta alpha))))
(/.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 (*.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (-.f64 beta alpha)) (-.f64 -2 (+.f64 beta alpha))) (neg.f64 (sqrt.f64 (-.f64 beta alpha)))))
(/.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))) (/.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (-.f64 beta alpha)) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))))))
(/.f64 (cbrt.f64 (-.f64 beta alpha)) (/.f64 (*.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (-.f64 beta alpha)) (+.f64 2 (+.f64 beta alpha))) (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2)))
(/.f64 (cbrt.f64 (-.f64 beta alpha)) (/.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (/.f64 (+.f64 2 (+.f64 beta alpha)) (-.f64 beta alpha))) (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (/.f64 (*.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (-.f64 beta alpha)) (+.f64 2 (+.f64 beta alpha))) (cbrt.f64 (-.f64 beta alpha))))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (/.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (/.f64 (+.f64 2 (+.f64 beta alpha)) (-.f64 beta alpha))) (cbrt.f64 (-.f64 beta alpha))))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (/.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (-.f64 beta alpha)) (*.f64 (cbrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 2 (+.f64 beta alpha))))))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (/.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2) (*.f64 (cbrt.f64 (-.f64 beta alpha)) (-.f64 beta alpha))))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (/.f64 (*.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (-.f64 beta alpha)) (-.f64 -2 (+.f64 beta alpha))) (neg.f64 (cbrt.f64 (-.f64 beta alpha)))))
(/.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))) (/.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (-.f64 beta alpha)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))) 2) (/.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (-.f64 beta alpha)) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))))))
(/.f64 (pow.f64 (-.f64 beta alpha) 2) (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2))
(/.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 (*.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (-.f64 beta alpha)) (+.f64 2 (+.f64 beta alpha))) (/.f64 1 (+.f64 beta alpha))))
(/.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (/.f64 (+.f64 2 (+.f64 beta alpha)) (-.f64 beta alpha))) (/.f64 1 (+.f64 beta alpha))))
(/.f64 (/.f64 1 (+.f64 2 (+.f64 beta alpha))) (/.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (-.f64 beta alpha)) (-.f64 beta alpha)))
(/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (/.f64 (*.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (-.f64 beta alpha)) (+.f64 2 (+.f64 beta alpha))) (/.f64 1 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))))))
(/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (/.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (/.f64 (+.f64 2 (+.f64 beta alpha)) (-.f64 beta alpha))) (/.f64 1 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))))))
(/.f64 (neg.f64 (-.f64 beta alpha)) (*.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (-.f64 beta alpha)) (-.f64 -2 (+.f64 beta alpha))))
(/.f64 (neg.f64 (-.f64 beta alpha)) (/.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (-.f64 beta alpha)) (/.f64 1 (-.f64 -2 (+.f64 beta alpha)))))
(/.f64 (neg.f64 (-.f64 beta alpha)) (/.f64 (*.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -2 (+.f64 beta alpha))) (neg.f64 (-.f64 beta alpha))))
(/.f64 (neg.f64 (-.f64 beta alpha)) (/.f64 (-.f64 -2 (+.f64 beta alpha)) (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))))
(/.f64 (neg.f64 (-.f64 beta alpha)) (/.f64 (*.f64 (-.f64 -2 (+.f64 beta alpha)) (/.f64 (+.f64 2 (+.f64 beta alpha)) (-.f64 beta alpha))) 1))
(/.f64 (neg.f64 (-.f64 beta alpha)) (/.f64 (*.f64 (-.f64 -2 (+.f64 beta alpha)) (+.f64 2 (+.f64 beta alpha))) (-.f64 beta alpha)))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 beta alpha))) (/.f64 (*.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (-.f64 beta alpha)) (-.f64 -2 (+.f64 beta alpha))) (sqrt.f64 (neg.f64 (-.f64 beta alpha)))))
(/.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 4))) (/.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (-.f64 beta alpha)) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))) 2))))
(/.f64 (*.f64 (cbrt.f64 (neg.f64 (-.f64 beta alpha))) (cbrt.f64 (neg.f64 (-.f64 beta alpha)))) (/.f64 (*.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (-.f64 beta alpha)) (-.f64 -2 (+.f64 beta alpha))) (cbrt.f64 (neg.f64 (-.f64 beta alpha)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2)) (/.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2) (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2)))
(/.f64 (*.f64 (neg.f64 (-.f64 beta alpha)) (neg.f64 (-.f64 beta alpha))) (*.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -2 (+.f64 beta alpha))))
(/.f64 (*.f64 (-.f64 beta alpha) (sqrt.f64 (-.f64 beta alpha))) (/.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2) (sqrt.f64 (-.f64 beta alpha))))
(/.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) (-.f64 beta alpha)) (+.f64 2 (+.f64 beta alpha)))
(/.f64 (*.f64 (-.f64 beta alpha) (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2)) (/.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2) (cbrt.f64 (-.f64 beta alpha))))
(/.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) (neg.f64 (-.f64 beta alpha))) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (*.f64 (-.f64 beta alpha) (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))) (+.f64 2 (+.f64 beta alpha)))
(/.f64 (*.f64 (neg.f64 (-.f64 beta alpha)) (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (/.f64 1 (sqrt.f64 (+.f64 2 (+.f64 beta alpha)))) (/.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (-.f64 beta alpha)) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 2 (+.f64 beta alpha))))))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 beta alpha))) 2)) (/.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (-.f64 beta alpha)) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 2 (+.f64 beta alpha))))))
(/.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (-.f64 beta alpha)) (-.f64 beta (+.f64 alpha 2))))
(/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (/.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (-.f64 beta alpha)) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta))))))
(/.f64 -1 (/.f64 (*.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (-.f64 beta alpha)) (-.f64 -2 (+.f64 beta alpha))) (-.f64 beta alpha)))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 beta alpha))) (/.f64 (*.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (-.f64 beta alpha)) (-.f64 -2 (+.f64 beta alpha))) (sqrt.f64 (-.f64 beta alpha))))
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2)) (/.f64 (*.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (-.f64 beta alpha)) (-.f64 -2 (+.f64 beta alpha))) (cbrt.f64 (-.f64 beta alpha))))
(/.f64 (+.f64 (sqrt.f64 alpha) (sqrt.f64 beta)) (/.f64 (*.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (-.f64 beta alpha)) (+.f64 2 (+.f64 beta alpha))) (-.f64 (sqrt.f64 beta) (sqrt.f64 alpha))))
(/.f64 (+.f64 (sqrt.f64 alpha) (sqrt.f64 beta)) (/.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (/.f64 (+.f64 2 (+.f64 beta alpha)) (-.f64 beta alpha))) (-.f64 (sqrt.f64 beta) (sqrt.f64 alpha))))
(/.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) 1) (/.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (-.f64 beta alpha)) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (+.f64 2 (+.f64 beta alpha)))))
(/.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 beta alpha))) 2)) (/.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (-.f64 beta alpha)) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (cbrt.f64 (+.f64 2 (+.f64 beta alpha))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) 1) (/.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (-.f64 beta alpha)) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 2 (+.f64 beta alpha)))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (sqrt.f64 (+.f64 2 (+.f64 beta alpha)))) (/.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (-.f64 beta alpha)) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (sqrt.f64 (+.f64 2 (+.f64 beta alpha))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 beta alpha))) 2)) (/.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (-.f64 beta alpha)) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))))))
(/.f64 (*.f64 (-.f64 beta alpha) (neg.f64 (-.f64 beta alpha))) (*.f64 (+.f64 2 (+.f64 beta alpha)) (-.f64 -2 (+.f64 beta alpha))))
(/.f64 (*.f64 (neg.f64 (-.f64 beta alpha)) 1) (*.f64 (-.f64 -2 (+.f64 beta alpha)) (/.f64 (+.f64 2 (+.f64 beta alpha)) (-.f64 beta alpha))))
(/.f64 (*.f64 (neg.f64 (-.f64 beta alpha)) (-.f64 beta alpha)) (*.f64 (-.f64 -2 (+.f64 beta alpha)) (+.f64 2 (+.f64 beta alpha))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 4))
(log.f64 (exp.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 2))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 6))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 2)))
(exp.f64 (*.f64 2 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 2)))
Outputs
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 3))))
(+.f64 1 (neg.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 alpha 2) 3))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 3))) (*.f64 beta (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2))))))
(+.f64 1 (fma.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 alpha 2) 3)) (*.f64 beta (*.f64 3 (/.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 alpha alpha)))))))
(+.f64 1 (fma.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 alpha 2) 3)) (*.f64 3 (*.f64 beta (/.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 alpha alpha)))))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (*.f64 beta (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 alpha (+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 2) (*.f64 -2 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) alpha) (+.f64 2 alpha))))) (+.f64 2 alpha))) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 2) alpha) (+.f64 2 alpha)))))))))
(+.f64 1 (fma.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 alpha 2) 3)) (fma.f64 beta (*.f64 3 (/.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 alpha alpha)))) (*.f64 (*.f64 beta beta) (fma.f64 -1 (/.f64 alpha (/.f64 (+.f64 alpha 2) (+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) 2) (*.f64 -2 (/.f64 (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (+.f64 alpha 2) alpha)))))) (+.f64 (/.f64 (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 alpha alpha))) (*.f64 -2 (/.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) 2) (/.f64 (+.f64 alpha 2) alpha)))))))))
(+.f64 1 (fma.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 alpha 2) 3)) (fma.f64 beta (*.f64 3 (/.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 alpha alpha)))) (*.f64 beta (*.f64 beta (fma.f64 -1 (/.f64 alpha (/.f64 (+.f64 alpha 2) (+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) 2) (*.f64 -2 (/.f64 (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (+.f64 alpha 2) alpha)))))) (+.f64 (/.f64 (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 alpha alpha))) (*.f64 -2 (/.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) 2) (/.f64 (+.f64 alpha 2) alpha))))))))))
(+.f64 1 (+.f64 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)))) alpha) (+.f64 2 alpha))) (*.f64 2 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))) alpha) (+.f64 2 alpha))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) alpha)) (+.f64 2 alpha))) (+.f64 (/.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)))) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 2) (*.f64 -2 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) alpha) (+.f64 2 alpha))))))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (*.f64 beta (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 alpha (+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 2) (*.f64 -2 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) alpha) (+.f64 2 alpha))))) (+.f64 2 alpha))) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 2) alpha) (+.f64 2 alpha))))))))))
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2
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2
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(+.f64 1 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)))
(+.f64 1 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 beta) 3)))
(+.f64 1 (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)) (*.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 2)))) alpha)))
(+.f64 (+.f64 1 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 beta) 3))) (*.f64 alpha (*.f64 (/.f64 (*.f64 beta beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) -3)))
(+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 beta) 3)) (+.f64 1 (*.f64 (/.f64 (*.f64 beta beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (*.f64 -3 alpha))))
(+.f64 (*.f64 (+.f64 (/.f64 (*.f64 beta (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (*.f64 2 (/.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 2))))) (+.f64 beta 2)) (+.f64 (*.f64 2 (/.f64 (*.f64 beta (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2)) (+.f64 beta 2))) (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (+.f64 1 (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)) (*.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 2)))) alpha))))
(fma.f64 (+.f64 (/.f64 beta (/.f64 (+.f64 2 beta) (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (*.f64 2 (/.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))))))) (fma.f64 2 (/.f64 beta (/.f64 (+.f64 2 beta) (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2))) (/.f64 (*.f64 beta beta) (/.f64 (pow.f64 (+.f64 2 beta) 3) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))))) (*.f64 alpha alpha) (+.f64 (+.f64 1 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 beta) 3))) (*.f64 alpha (*.f64 (/.f64 (*.f64 beta beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) -3))))
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(+.f64 (*.f64 (+.f64 (/.f64 (*.f64 beta (+.f64 (*.f64 -2 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (+.f64 beta 2))) (*.f64 -2 (/.f64 (*.f64 beta (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))) (+.f64 beta 2))))) (+.f64 beta 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (*.f64 2 (/.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 -2 (/.f64 (*.f64 beta (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2)) (pow.f64 (+.f64 beta 2) 2)))))) (pow.f64 alpha 3)) (+.f64 (*.f64 (+.f64 (/.f64 (*.f64 beta (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (*.f64 2 (/.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 2))))) (+.f64 beta 2)) (+.f64 (*.f64 2 (/.f64 (*.f64 beta (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2)) (+.f64 beta 2))) (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (+.f64 1 (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)) (*.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 2)))) alpha)))))
(fma.f64 (+.f64 (/.f64 beta (/.f64 (+.f64 2 beta) (*.f64 -2 (+.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (+.f64 2 beta)) (/.f64 beta (/.f64 (+.f64 2 beta) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))))))) (fma.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (*.f64 2 (/.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))))) (fma.f64 -1 (/.f64 (*.f64 beta beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))) (/.f64 (*.f64 -2 (*.f64 beta (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2))) (pow.f64 (+.f64 2 beta) 2))))) (pow.f64 alpha 3) (fma.f64 (+.f64 (/.f64 beta (/.f64 (+.f64 2 beta) (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (*.f64 2 (/.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))))))) (fma.f64 2 (/.f64 beta (/.f64 (+.f64 2 beta) (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2))) (/.f64 (*.f64 beta beta) (/.f64 (pow.f64 (+.f64 2 beta) 3) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))))) (*.f64 alpha alpha) (+.f64 (+.f64 1 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 beta) 3))) (*.f64 alpha (*.f64 (/.f64 (*.f64 beta beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) -3)))))
(fma.f64 (+.f64 (/.f64 beta (/.f64 (+.f64 2 beta) (*.f64 -2 (+.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (+.f64 2 beta)) (/.f64 beta (/.f64 (+.f64 2 beta) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))))))) (fma.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (*.f64 2 (/.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))))) (fma.f64 -1 (/.f64 (*.f64 beta beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))) (/.f64 (*.f64 -2 (*.f64 beta (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2))) (pow.f64 (+.f64 2 beta) 2))))) (pow.f64 alpha 3) (+.f64 1 (fma.f64 (+.f64 (/.f64 beta (/.f64 (+.f64 2 beta) (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (*.f64 2 (/.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))))))) (fma.f64 2 (/.f64 beta (/.f64 (+.f64 2 beta) (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2))) (/.f64 (*.f64 beta beta) (/.f64 (pow.f64 (+.f64 2 beta) 3) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))))) (*.f64 alpha alpha) (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 beta) 3)) (*.f64 (/.f64 (*.f64 beta beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (*.f64 -3 alpha))))))
(/.f64 (-.f64 (+.f64 beta (*.f64 2 (-.f64 beta (*.f64 -1 (+.f64 beta 2))))) (*.f64 -1 (+.f64 beta 2))) alpha)
(/.f64 (+.f64 beta (-.f64 (*.f64 2 (-.f64 beta (+.f64 (neg.f64 beta) -2))) (+.f64 (neg.f64 beta) -2))) alpha)
(/.f64 (+.f64 (*.f64 2 (-.f64 beta (+.f64 -2 (neg.f64 beta)))) (-.f64 beta (+.f64 -2 (neg.f64 beta)))) alpha)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2))) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)) (+.f64 (/.f64 beta alpha) (*.f64 -1 (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))))))) (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)))
(-.f64 (fma.f64 -1 (/.f64 (fma.f64 2 (*.f64 (+.f64 2 beta) (-.f64 beta (+.f64 (neg.f64 beta) -2))) (pow.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) 2)) (*.f64 alpha alpha)) (fma.f64 -2 (/.f64 (pow.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) 2) (*.f64 alpha alpha)) (+.f64 (fma.f64 2 (/.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) alpha) (/.f64 beta alpha)) (neg.f64 (/.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))))))) (/.f64 (+.f64 (neg.f64 beta) -2) alpha))
(-.f64 (fma.f64 -1 (/.f64 (fma.f64 2 (*.f64 (+.f64 2 beta) (-.f64 beta (+.f64 -2 (neg.f64 beta)))) (pow.f64 (-.f64 beta (+.f64 -2 (neg.f64 beta))) 2)) (*.f64 alpha alpha)) (+.f64 (fma.f64 2 (/.f64 (-.f64 beta (+.f64 -2 (neg.f64 beta))) alpha) (/.f64 beta alpha)) (fma.f64 -2 (/.f64 (pow.f64 (-.f64 beta (+.f64 -2 (neg.f64 beta))) 2) (*.f64 alpha alpha)) (/.f64 (*.f64 (+.f64 -2 (neg.f64 beta)) (-.f64 beta (+.f64 -2 (neg.f64 beta)))) (*.f64 alpha alpha))))) (/.f64 (+.f64 -2 (neg.f64 beta)) alpha))
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2
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2
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(+.f64 2 (neg.f64 (/.f64 (+.f64 beta (-.f64 2 (neg.f64 beta))) alpha)))
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1
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1
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(/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))
(/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 beta) 3))
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(+.f64 (*.f64 (+.f64 (/.f64 (*.f64 beta (+.f64 (*.f64 -2 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (+.f64 beta 2))) (*.f64 -2 (/.f64 (*.f64 beta (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))) (+.f64 beta 2))))) (+.f64 beta 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (*.f64 2 (/.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 -2 (/.f64 (*.f64 beta (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2)) (pow.f64 (+.f64 beta 2) 2)))))) (pow.f64 alpha 3)) (+.f64 (*.f64 (+.f64 (/.f64 (*.f64 beta (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (*.f64 2 (/.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 2))))) (+.f64 beta 2)) (+.f64 (*.f64 2 (/.f64 (*.f64 beta (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2)) (+.f64 beta 2))) (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)) (*.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 2)))) alpha))))
(fma.f64 (+.f64 (/.f64 beta (/.f64 (+.f64 2 beta) (*.f64 -2 (+.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (+.f64 2 beta)) (/.f64 beta (/.f64 (+.f64 2 beta) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))))))) (fma.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (*.f64 2 (/.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))))) (fma.f64 -1 (/.f64 (*.f64 beta beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))) (/.f64 (*.f64 -2 (*.f64 beta (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2))) (pow.f64 (+.f64 2 beta) 2))))) (pow.f64 alpha 3) (fma.f64 (+.f64 (/.f64 beta (/.f64 (+.f64 2 beta) (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (*.f64 2 (/.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))))))) (fma.f64 2 (/.f64 beta (/.f64 (+.f64 2 beta) (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2))) (/.f64 (*.f64 beta beta) (/.f64 (pow.f64 (+.f64 2 beta) 3) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))))) (*.f64 alpha alpha) (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 beta) 3)) (*.f64 alpha (*.f64 (/.f64 (*.f64 beta beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) -3)))))
(fma.f64 (+.f64 (/.f64 beta (/.f64 (+.f64 2 beta) (*.f64 -2 (+.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (+.f64 2 beta)) (/.f64 beta (/.f64 (+.f64 2 beta) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))))))) (fma.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (*.f64 2 (/.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))))) (fma.f64 -1 (/.f64 (*.f64 beta beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))) (/.f64 (*.f64 -2 (*.f64 beta (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2))) (pow.f64 (+.f64 2 beta) 2))))) (pow.f64 alpha 3) (fma.f64 (+.f64 (/.f64 beta (/.f64 (+.f64 2 beta) (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (*.f64 2 (/.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))))))) (fma.f64 2 (/.f64 beta (/.f64 (+.f64 2 beta) (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2))) (/.f64 (*.f64 beta beta) (/.f64 (pow.f64 (+.f64 2 beta) 3) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))))) (*.f64 alpha alpha) (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 beta) 3)) (*.f64 (/.f64 (*.f64 beta beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (*.f64 -3 alpha)))))
-1
(-.f64 (+.f64 (*.f64 2 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)) (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1))
(-.f64 (fma.f64 2 (/.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) alpha) (/.f64 beta alpha)) (fma.f64 -1 (/.f64 (+.f64 2 beta) alpha) 1))
(+.f64 (*.f64 2 (/.f64 (-.f64 beta (+.f64 -2 (neg.f64 beta))) alpha)) (-.f64 (/.f64 (-.f64 beta (+.f64 -2 (neg.f64 beta))) alpha) 1))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2))) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2)) (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 2 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))))))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1))
(-.f64 (fma.f64 -1 (/.f64 (fma.f64 2 (*.f64 (+.f64 2 beta) (-.f64 beta (+.f64 (neg.f64 beta) -2))) (pow.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) 2)) (*.f64 alpha alpha)) (+.f64 (fma.f64 2 (/.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) alpha) (/.f64 beta alpha)) (fma.f64 -2 (/.f64 (pow.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) 2) (*.f64 alpha alpha)) (neg.f64 (/.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))))))) (fma.f64 -1 (/.f64 (+.f64 2 beta) alpha) 1))
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(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2))) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2)) (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (*.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (+.f64 beta 2))) (*.f64 -2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 3))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)) (+.f64 (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2))) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2)) (-.f64 beta (*.f64 -1 (+.f64 beta 2)))) (pow.f64 alpha 3)) (*.f64 2 (/.f64 (*.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (+.f64 beta 2)) (pow.f64 alpha 3))))))))))) (+.f64 1 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha))))
(-.f64 (fma.f64 -1 (/.f64 (fma.f64 2 (*.f64 (+.f64 2 beta) (-.f64 beta (+.f64 (neg.f64 beta) -2))) (pow.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) 2)) (*.f64 alpha alpha)) (+.f64 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (*.f64 -2 (+.f64 (*.f64 (+.f64 2 beta) (pow.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) 2)) (*.f64 (pow.f64 (+.f64 2 beta) 2) (-.f64 beta (+.f64 (neg.f64 beta) -2))))) (pow.f64 alpha 3)) (fma.f64 -2 (/.f64 (pow.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) 2) (*.f64 alpha alpha)) (fma.f64 -1 (/.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (fma.f64 2 (/.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) alpha) (+.f64 (/.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2))) (fma.f64 2 (/.f64 (pow.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) 2) (/.f64 (pow.f64 alpha 3) (+.f64 2 beta))) (/.f64 (fma.f64 2 (*.f64 (+.f64 2 beta) (-.f64 beta (+.f64 (neg.f64 beta) -2))) (pow.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) 2)) (/.f64 (pow.f64 alpha 3) (-.f64 beta (+.f64 (neg.f64 beta) -2)))))))))))) (fma.f64 -1 (/.f64 (+.f64 2 beta) alpha) 1))
(+.f64 (neg.f64 (/.f64 (fma.f64 2 (*.f64 (+.f64 2 beta) (-.f64 beta (+.f64 -2 (neg.f64 beta)))) (pow.f64 (-.f64 beta (+.f64 -2 (neg.f64 beta))) 2)) (*.f64 alpha alpha))) (+.f64 (+.f64 (/.f64 (*.f64 2 (+.f64 (*.f64 (+.f64 2 beta) (pow.f64 (-.f64 beta (+.f64 -2 (neg.f64 beta))) 2)) (*.f64 (pow.f64 (+.f64 2 beta) 2) (-.f64 beta (+.f64 -2 (neg.f64 beta)))))) (pow.f64 alpha 3)) (fma.f64 -2 (/.f64 (pow.f64 (-.f64 beta (+.f64 -2 (neg.f64 beta))) 2) (*.f64 alpha alpha)) (fma.f64 -1 (/.f64 (-.f64 beta (+.f64 -2 (neg.f64 beta))) (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (fma.f64 2 (/.f64 (-.f64 beta (+.f64 -2 (neg.f64 beta))) alpha) (+.f64 (/.f64 (-.f64 beta (+.f64 -2 (neg.f64 beta))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2))) (fma.f64 2 (/.f64 (pow.f64 (-.f64 beta (+.f64 -2 (neg.f64 beta))) 2) (/.f64 (pow.f64 alpha 3) (+.f64 2 beta))) (/.f64 (fma.f64 2 (*.f64 (+.f64 2 beta) (-.f64 beta (+.f64 -2 (neg.f64 beta)))) (pow.f64 (-.f64 beta (+.f64 -2 (neg.f64 beta))) 2)) (/.f64 (pow.f64 alpha 3) (-.f64 beta (+.f64 -2 (neg.f64 beta))))))))))) (-.f64 (/.f64 (-.f64 beta (+.f64 -2 (neg.f64 beta))) alpha) 1)))
-1
(-.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -1 beta) (*.f64 2 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))) (+.f64 beta 2)) alpha)) 1)
(fma.f64 -1 (/.f64 (-.f64 (fma.f64 -1 beta (*.f64 2 (-.f64 (-.f64 (neg.f64 beta) beta) 2))) (+.f64 2 beta)) alpha) -1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -1 beta) (*.f64 2 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2) (pow.f64 alpha 2))) (/.f64 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2))) (pow.f64 alpha 2))))) 1)
(+.f64 (fma.f64 -1 (/.f64 (-.f64 (fma.f64 -1 beta (*.f64 2 (-.f64 (-.f64 (neg.f64 beta) beta) 2))) (+.f64 2 beta)) alpha) (fma.f64 -1 (/.f64 (fma.f64 -2 (*.f64 (+.f64 2 beta) (-.f64 (-.f64 (neg.f64 beta) beta) 2)) (pow.f64 (-.f64 (-.f64 (neg.f64 beta) beta) 2) 2)) (*.f64 alpha alpha)) (fma.f64 -2 (/.f64 (pow.f64 (-.f64 (-.f64 (neg.f64 beta) beta) 2) 2) (*.f64 alpha alpha)) (/.f64 (+.f64 2 beta) (/.f64 (*.f64 alpha alpha) (-.f64 (-.f64 (neg.f64 beta) beta) 2)))))) -1)
(+.f64 -1 (fma.f64 -1 (/.f64 (-.f64 (fma.f64 -1 beta (*.f64 2 (-.f64 (-.f64 (neg.f64 beta) beta) 2))) (+.f64 2 beta)) alpha) (fma.f64 -1 (/.f64 (fma.f64 -2 (*.f64 (+.f64 2 beta) (-.f64 (-.f64 (neg.f64 beta) beta) 2)) (pow.f64 (-.f64 (-.f64 (neg.f64 beta) beta) 2) 2)) (*.f64 alpha alpha)) (fma.f64 -2 (/.f64 (pow.f64 (-.f64 (-.f64 (neg.f64 beta) beta) 2) 2) (*.f64 alpha alpha)) (/.f64 (+.f64 2 beta) (/.f64 (*.f64 alpha alpha) (-.f64 (-.f64 (neg.f64 beta) beta) 2)))))))
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1
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1
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1
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(/.f64 (neg.f64 (pow.f64 (-.f64 beta alpha) 2)) (*.f64 (+.f64 2 (+.f64 alpha beta)) (-.f64 -2 (+.f64 alpha beta))))
(/.f64 (neg.f64 (pow.f64 (-.f64 beta alpha) 2)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 -2 (+.f64 alpha beta))))
(/.f64 (*.f64 (-.f64 beta alpha) (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))) (+.f64 2 (+.f64 beta alpha)))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 2)
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)
(/.f64 (*.f64 (neg.f64 (-.f64 beta alpha)) (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (neg.f64 (pow.f64 (-.f64 beta alpha) 2)) (*.f64 (+.f64 2 (+.f64 alpha beta)) (-.f64 -2 (+.f64 alpha beta))))
(/.f64 (neg.f64 (pow.f64 (-.f64 beta alpha) 2)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 -2 (+.f64 alpha beta))))
(/.f64 (/.f64 1 (sqrt.f64 (+.f64 2 (+.f64 beta alpha)))) (/.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (-.f64 beta alpha)) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 2 (+.f64 beta alpha))))))
(/.f64 1 (*.f64 (*.f64 (/.f64 (+.f64 2 (+.f64 alpha beta)) (pow.f64 (-.f64 beta alpha) 2)) (sqrt.f64 (+.f64 2 (+.f64 alpha beta)))) (sqrt.f64 (+.f64 2 (+.f64 alpha beta)))))
(/.f64 1 (*.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (pow.f64 (-.f64 beta alpha) 2)) (*.f64 (sqrt.f64 (+.f64 alpha (+.f64 2 beta))) (sqrt.f64 (+.f64 alpha (+.f64 2 beta))))))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 beta alpha))) 2)) (/.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (-.f64 beta alpha)) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 2 (+.f64 beta alpha))))))
(/.f64 1 (*.f64 (*.f64 (/.f64 (+.f64 2 (+.f64 alpha beta)) (pow.f64 (-.f64 beta alpha) 2)) (cbrt.f64 (+.f64 2 (+.f64 alpha beta)))) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2)))
(/.f64 1 (*.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2) (*.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (pow.f64 (-.f64 beta alpha) 2)) (cbrt.f64 (+.f64 alpha (+.f64 2 beta))))))
(/.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (-.f64 beta alpha)) (-.f64 beta (+.f64 alpha 2))))
(/.f64 (-.f64 beta alpha) (*.f64 (/.f64 (+.f64 2 (+.f64 alpha beta)) (*.f64 (-.f64 (-.f64 beta alpha) 2) (-.f64 beta alpha))) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))))
(/.f64 (-.f64 beta alpha) (*.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (+.f64 alpha (+.f64 2 beta)) (*.f64 (-.f64 beta alpha) (-.f64 (-.f64 beta alpha) 2)))))
(/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (/.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (-.f64 beta alpha)) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta))))))
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))) (/.f64 (+.f64 2 (+.f64 alpha beta)) (-.f64 beta alpha))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))))
(*.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))) (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))))
(/.f64 -1 (/.f64 (*.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (-.f64 beta alpha)) (-.f64 -2 (+.f64 beta alpha))) (-.f64 beta alpha)))
(*.f64 (/.f64 -1 (*.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 beta alpha)) (+.f64 2 (+.f64 alpha beta)))) (-.f64 beta alpha))
(*.f64 (-.f64 beta alpha) (/.f64 -1 (*.f64 (+.f64 alpha (+.f64 2 beta)) (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 beta alpha)))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 beta alpha))) (/.f64 (*.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (-.f64 beta alpha)) (-.f64 -2 (+.f64 beta alpha))) (sqrt.f64 (-.f64 beta alpha))))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 (-.f64 beta alpha))) (*.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 beta alpha)) (+.f64 2 (+.f64 alpha beta)))) (sqrt.f64 (-.f64 beta alpha)))
(*.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 (neg.f64 (sqrt.f64 (-.f64 beta alpha))) (*.f64 (+.f64 alpha (+.f64 2 beta)) (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 beta alpha)))))
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2)) (/.f64 (*.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (-.f64 beta alpha)) (-.f64 -2 (+.f64 beta alpha))) (cbrt.f64 (-.f64 beta alpha))))
(*.f64 (/.f64 (neg.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2)) (*.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 beta alpha)) (+.f64 2 (+.f64 alpha beta)))) (cbrt.f64 (-.f64 beta alpha)))
(*.f64 (cbrt.f64 (-.f64 beta alpha)) (/.f64 (neg.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 beta alpha)))))
(/.f64 (+.f64 (sqrt.f64 alpha) (sqrt.f64 beta)) (/.f64 (*.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (-.f64 beta alpha)) (+.f64 2 (+.f64 beta alpha))) (-.f64 (sqrt.f64 beta) (sqrt.f64 alpha))))
(*.f64 (/.f64 (+.f64 (sqrt.f64 alpha) (sqrt.f64 beta)) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (-.f64 beta alpha))) (-.f64 (sqrt.f64 beta) (sqrt.f64 alpha)))
(*.f64 (-.f64 (sqrt.f64 beta) (sqrt.f64 alpha)) (/.f64 (+.f64 (sqrt.f64 alpha) (sqrt.f64 beta)) (/.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2) (-.f64 beta alpha))))
(/.f64 (+.f64 (sqrt.f64 alpha) (sqrt.f64 beta)) (/.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (/.f64 (+.f64 2 (+.f64 beta alpha)) (-.f64 beta alpha))) (-.f64 (sqrt.f64 beta) (sqrt.f64 alpha))))
(*.f64 (/.f64 (+.f64 (sqrt.f64 alpha) (sqrt.f64 beta)) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (-.f64 beta alpha))) (-.f64 (sqrt.f64 beta) (sqrt.f64 alpha)))
(*.f64 (-.f64 (sqrt.f64 beta) (sqrt.f64 alpha)) (/.f64 (+.f64 (sqrt.f64 alpha) (sqrt.f64 beta)) (/.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2) (-.f64 beta alpha))))
(/.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) 1) (/.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (-.f64 beta alpha)) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (+.f64 2 (+.f64 beta alpha)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (-.f64 beta alpha))) (sqrt.f64 (-.f64 beta alpha)))
(*.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2) (-.f64 beta alpha))))
(/.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 beta alpha))) 2)) (/.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (-.f64 beta alpha)) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (cbrt.f64 (+.f64 2 (+.f64 beta alpha))))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2)) (/.f64 (+.f64 2 (+.f64 alpha beta)) (-.f64 beta alpha))) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (cbrt.f64 (+.f64 2 (+.f64 alpha beta)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) 1) (/.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (-.f64 beta alpha)) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 2 (+.f64 beta alpha)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (-.f64 beta alpha))) (cbrt.f64 (-.f64 beta alpha)))
(*.f64 (cbrt.f64 (-.f64 beta alpha)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (/.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2) (-.f64 beta alpha))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (sqrt.f64 (+.f64 2 (+.f64 beta alpha)))) (/.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (-.f64 beta alpha)) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (sqrt.f64 (+.f64 2 (+.f64 beta alpha))))))
(*.f64 (/.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (sqrt.f64 (+.f64 2 (+.f64 alpha beta)))) (/.f64 (+.f64 2 (+.f64 alpha beta)) (-.f64 beta alpha))) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (sqrt.f64 (+.f64 2 (+.f64 alpha beta)))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 beta alpha)) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 beta alpha))) 2)) (/.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (-.f64 beta alpha)) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))))))
(*.f64 (/.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2)) (/.f64 (+.f64 2 (+.f64 alpha beta)) (-.f64 beta alpha))) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) (/.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))))
(/.f64 (*.f64 (-.f64 beta alpha) (neg.f64 (-.f64 beta alpha))) (*.f64 (+.f64 2 (+.f64 beta alpha)) (-.f64 -2 (+.f64 beta alpha))))
(/.f64 (neg.f64 (pow.f64 (-.f64 beta alpha) 2)) (*.f64 (+.f64 2 (+.f64 alpha beta)) (-.f64 -2 (+.f64 alpha beta))))
(/.f64 (neg.f64 (pow.f64 (-.f64 beta alpha) 2)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 -2 (+.f64 alpha beta))))
(/.f64 (*.f64 (neg.f64 (-.f64 beta alpha)) 1) (*.f64 (-.f64 -2 (+.f64 beta alpha)) (/.f64 (+.f64 2 (+.f64 beta alpha)) (-.f64 beta alpha))))
(/.f64 (neg.f64 (pow.f64 (-.f64 beta alpha) 2)) (*.f64 (+.f64 2 (+.f64 alpha beta)) (-.f64 -2 (+.f64 alpha beta))))
(/.f64 (neg.f64 (pow.f64 (-.f64 beta alpha) 2)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 -2 (+.f64 alpha beta))))
(/.f64 (*.f64 (neg.f64 (-.f64 beta alpha)) (-.f64 beta alpha)) (*.f64 (-.f64 -2 (+.f64 beta alpha)) (+.f64 2 (+.f64 beta alpha))))
(/.f64 (neg.f64 (pow.f64 (-.f64 beta alpha) 2)) (*.f64 (+.f64 2 (+.f64 alpha beta)) (-.f64 -2 (+.f64 alpha beta))))
(/.f64 (neg.f64 (pow.f64 (-.f64 beta alpha) 2)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 -2 (+.f64 alpha beta))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 4))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 4))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 4))
(log.f64 (exp.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 2)))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 2)
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 2))))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 2)
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 6))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 6))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 6))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 2)))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 2)
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)
(exp.f64 (*.f64 2 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))))))
(pow.f64 (exp.f64 2) (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))))
(pow.f64 (exp.f64 2) (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))))) 1))
(pow.f64 (exp.f64 2) (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))))
(pow.f64 (exp.f64 2) (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 2)))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 2)
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)

localize6.0ms (0%)

Compiler

Compiled 6 to 6 computations (0% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.01%
(/.f64 alpha (+.f64 alpha 2))
2.98%
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
Compiler

Compiled 29 to 21 computations (27.6% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite86.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1378×associate-*r/
948×associate-*l/
902×associate-/r*
796×*-commutative
678×associate-/l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0832
118032
2243132
Stop Event
node limit
Counts
2 → 139
Calls
Call 1
Inputs
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(/.f64 alpha (+.f64 alpha 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 alpha (-.f64 -2 alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2) (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 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egg-rr> (2) ((x *.f64 (/.f64 alpha (neg.f64 (+.f64 8 (pow.f64 alpha 3)))) (neg.f64 (+.f64 4 (*.f64 alpha (+.f64 alpha -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 alpha) (neg.f64 (fma.f64 alpha alpha -4))) (+.f64 alpha -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 alpha) (neg.f64 (+.f64 8 (pow.f64 alpha 3)))) (+.f64 4 (*.f64 alpha (+.f64 alpha -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (+.f64 alpha 2) (pow.f64 (cbrt.f64 alpha) 2))) (cbrt.f64 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 alpha (-.f64 4 (*.f64 alpha alpha))) (-.f64 2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 alpha 1) (neg.f64 (fma.f64 alpha alpha -4))) (neg.f64 (+.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 alpha 1) (neg.f64 (+.f64 8 (pow.f64 alpha 3)))) (neg.f64 (+.f64 4 (*.f64 alpha (+.f64 alpha -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 alpha 1) (-.f64 4 (*.f64 alpha alpha))) (-.f64 2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 8 (pow.f64 alpha 3)))) (sqrt.f64 (+.f64 4 (*.f64 alpha (+.f64 alpha -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (fma.f64 alpha alpha -4))) (sqrt.f64 (+.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 alpha (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (+.f64 8 (pow.f64 alpha 3)))) (cbrt.f64 (+.f64 4 (*.f64 alpha (+.f64 alpha -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 alpha (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (fma.f64 alpha alpha -4))) (cbrt.f64 (+.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 alpha (+.f64 alpha 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 alpha 2) alpha) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 alpha (-.f64 -2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 alpha (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 alpha (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 alpha (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 alpha (+.f64 alpha 2))))))))

simplify109.0ms (0.8%)

Algorithm
egg-herbie
Rules
1420×associate-/r/
826×associate-+l+
686×associate-+r+
600×+-commutative
492×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03957727
111236943
242606921
Stop Event
node limit
Counts
163 → 257
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1/2 alpha))
(+.f64 1 (+.f64 (*.f64 -1/2 alpha) (*.f64 1/4 (pow.f64 alpha 2))))
(+.f64 (*.f64 -1/8 (pow.f64 alpha 3)) (+.f64 1 (+.f64 (*.f64 -1/2 alpha) (*.f64 1/4 (pow.f64 alpha 2)))))
(/.f64 2 alpha)
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 alpha 4))) (*.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 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 alpha 4))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(*.f64 1/2 alpha)
(+.f64 (*.f64 1/2 alpha) (*.f64 -1/4 (pow.f64 alpha 2)))
(+.f64 (*.f64 1/2 alpha) (+.f64 (*.f64 1/8 (pow.f64 alpha 3)) (*.f64 -1/4 (pow.f64 alpha 2))))
(+.f64 (*.f64 1/2 alpha) (+.f64 (*.f64 -1/16 (pow.f64 alpha 4)) (+.f64 (*.f64 1/8 (pow.f64 alpha 3)) (*.f64 -1/4 (pow.f64 alpha 2)))))
1
(-.f64 1 (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))))
1
(-.f64 1 (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))))
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(+.f64 (/.f64 alpha (-.f64 -2 alpha)) 1)
(+.f64 (-.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 1)
(*.f64 1 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))
(*.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 1)
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2) (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))
(*.f64 (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))
(*.f64 (/.f64 1 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (+.f64 1 (-.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) (/.f64 alpha (+.f64 alpha 2)))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (-.f64 1 (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) (-.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 1 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) 3))) (+.f64 1 (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (-.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) 1))))
(/.f64 1 (/.f64 1 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (/.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (/.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) (/.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)))) (/.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)))))
(/.f64 (-.f64 1 (*.f64 (/.f64 alpha (-.f64 -2 alpha)) (/.f64 alpha (-.f64 -2 alpha)))) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) (/.f64 (+.f64 alpha 2) alpha))) (*.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))
(/.f64 (-.f64 1 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (*.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 3)) (+.f64 1 (*.f64 (/.f64 alpha (-.f64 -2 alpha)) (-.f64 (/.f64 alpha (-.f64 -2 alpha)) 1))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) 3)) (*.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 1 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) 3)) (*.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (+.f64 1 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (neg.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (neg.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))
(/.f64 (*.f64 1 (-.f64 1 (*.f64 (/.f64 alpha (-.f64 -2 alpha)) (/.f64 alpha (-.f64 -2 alpha))))) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(/.f64 (*.f64 1 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 3))) (+.f64 1 (*.f64 (/.f64 alpha (-.f64 -2 alpha)) (-.f64 (/.f64 alpha (-.f64 -2 alpha)) 1))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) (neg.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)))) (neg.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) (sqrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)))) (sqrt.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) (cbrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)))) (cbrt.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (/.f64 alpha (-.f64 -2 alpha)) (/.f64 alpha (-.f64 -2 alpha)))) 1) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 3)) 1) (+.f64 1 (*.f64 (/.f64 alpha (-.f64 -2 alpha)) (-.f64 (/.f64 alpha (-.f64 -2 alpha)) 1))))
(/.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) 1) (neg.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(/.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) 1) (neg.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))) (sqrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))) (sqrt.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2)) (cbrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2)) (cbrt.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))
(/.f64 (*.f64 (-.f64 1 (/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) (/.f64 (+.f64 alpha 2) alpha))) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) 3)) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (+.f64 1 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (/.f64 1 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) (+.f64 1 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) 1) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (sqrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (sqrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (cbrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))) (cbrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) 1) (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (sqrt.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) (sqrt.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) (cbrt.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))) (cbrt.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))
(pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 1)
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 2))
(log.f64 (exp.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 3))
(expm1.f64 (log.f64 (+.f64 2 (/.f64 alpha (-.f64 -2 alpha)))))
(exp.f64 (log1p.f64 (/.f64 alpha (-.f64 -2 alpha))))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 alpha 2)) 1))
(+.f64 (/.f64 alpha (+.f64 alpha 2)) 0)
(+.f64 (*.f64 (/.f64 alpha (fma.f64 alpha alpha -4)) alpha) (*.f64 (/.f64 alpha (fma.f64 alpha alpha -4)) -2))
(+.f64 (*.f64 (/.f64 alpha (+.f64 8 (pow.f64 alpha 3))) (*.f64 alpha alpha)) (*.f64 (/.f64 alpha (+.f64 8 (pow.f64 alpha 3))) (+.f64 4 (*.f64 -2 alpha))))
(+.f64 (*.f64 (/.f64 alpha (+.f64 8 (pow.f64 alpha 3))) (+.f64 4 (*.f64 -2 alpha))) (*.f64 (/.f64 alpha (+.f64 8 (pow.f64 alpha 3))) (*.f64 alpha alpha)))
(+.f64 (*.f64 alpha (/.f64 alpha (fma.f64 alpha alpha -4))) (*.f64 -2 (/.f64 alpha (fma.f64 alpha alpha -4))))
(+.f64 (*.f64 (*.f64 alpha alpha) (/.f64 alpha (+.f64 8 (pow.f64 alpha 3)))) (*.f64 (+.f64 4 (*.f64 -2 alpha)) (/.f64 alpha (+.f64 8 (pow.f64 alpha 3)))))
(+.f64 (*.f64 (+.f64 4 (*.f64 -2 alpha)) (/.f64 alpha (+.f64 8 (pow.f64 alpha 3)))) (*.f64 (*.f64 alpha alpha) (/.f64 alpha (+.f64 8 (pow.f64 alpha 3)))))
(-.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1)
(*.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(*.f64 alpha (/.f64 1 (+.f64 alpha 2)))
(*.f64 (/.f64 alpha (+.f64 alpha 2)) 1)
(*.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))) (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))))
(*.f64 (sqrt.f64 alpha) (/.f64 (sqrt.f64 alpha) (+.f64 alpha 2)))
(*.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2))
(*.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2) (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))))
(*.f64 (pow.f64 (cbrt.f64 alpha) 2) (/.f64 (cbrt.f64 alpha) (+.f64 alpha 2)))
(*.f64 (+.f64 alpha -2) (/.f64 alpha (fma.f64 alpha alpha -4)))
(*.f64 (/.f64 1 (+.f64 alpha 2)) alpha)
(*.f64 (+.f64 4 (*.f64 alpha (+.f64 alpha -2))) (/.f64 alpha (+.f64 8 (pow.f64 alpha 3))))
(*.f64 (neg.f64 alpha) (/.f64 -1 (+.f64 alpha 2)))
(*.f64 (/.f64 (sqrt.f64 alpha) (+.f64 alpha 2)) (sqrt.f64 alpha))
(*.f64 (/.f64 (sqrt.f64 alpha) (+.f64 alpha 2)) (/.f64 (sqrt.f64 alpha) 1))
(*.f64 (/.f64 (cbrt.f64 alpha) (+.f64 alpha 2)) (pow.f64 (cbrt.f64 alpha) 2))
(*.f64 (/.f64 (cbrt.f64 alpha) (+.f64 alpha 2)) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) 1))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha 2))) (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (/.f64 alpha (cbrt.f64 (+.f64 alpha 2))))
(*.f64 (/.f64 alpha 1) (/.f64 1 (+.f64 alpha 2)))
(*.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (/.f64 1 (sqrt.f64 (+.f64 alpha 2))))
(*.f64 (/.f64 alpha (cbrt.f64 (+.f64 alpha 2))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)))
(*.f64 (/.f64 1 (fma.f64 alpha alpha -4)) (*.f64 alpha (+.f64 alpha -2)))
(*.f64 (/.f64 1 (+.f64 8 (pow.f64 alpha 3))) (*.f64 alpha (+.f64 4 (*.f64 alpha (+.f64 alpha -2)))))
(*.f64 (/.f64 alpha (fma.f64 alpha alpha -4)) (+.f64 alpha -2))
(*.f64 (/.f64 alpha (+.f64 8 (pow.f64 alpha 3))) (+.f64 4 (*.f64 alpha (+.f64 alpha -2))))
(*.f64 (/.f64 -1 (+.f64 alpha 2)) (neg.f64 alpha))
(*.f64 (/.f64 (sqrt.f64 alpha) 1) (/.f64 (sqrt.f64 alpha) (+.f64 alpha 2)))
(*.f64 (/.f64 (sqrt.f64 alpha) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (/.f64 (sqrt.f64 alpha) (cbrt.f64 (+.f64 alpha 2))))
(*.f64 (/.f64 (sqrt.f64 alpha) (cbrt.f64 (+.f64 alpha 2))) (/.f64 (sqrt.f64 alpha) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) 1) (/.f64 (cbrt.f64 alpha) (+.f64 alpha 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (+.f64 alpha 2))) (/.f64 (cbrt.f64 alpha) (sqrt.f64 (+.f64 alpha 2))))
(*.f64 (/.f64 (cbrt.f64 alpha) (sqrt.f64 (+.f64 alpha 2))) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (+.f64 alpha 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))))
(*.f64 (/.f64 (/.f64 alpha 1) 1) (/.f64 1 (+.f64 alpha 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (+.f64 alpha 2)) (cbrt.f64 alpha))
(*.f64 (/.f64 alpha (neg.f64 (fma.f64 alpha alpha -4))) (neg.f64 (+.f64 alpha -2)))
(*.f64 (/.f64 alpha (neg.f64 (+.f64 8 (pow.f64 alpha 3)))) (neg.f64 (+.f64 4 (*.f64 alpha (+.f64 alpha -2)))))
(*.f64 (/.f64 (neg.f64 alpha) (neg.f64 (fma.f64 alpha alpha -4))) (+.f64 alpha -2))
(*.f64 (/.f64 (neg.f64 alpha) (neg.f64 (+.f64 8 (pow.f64 alpha 3)))) (+.f64 4 (*.f64 alpha (+.f64 alpha -2))))
(*.f64 (/.f64 1 (/.f64 (+.f64 alpha 2) (pow.f64 (cbrt.f64 alpha) 2))) (cbrt.f64 alpha))
(*.f64 (/.f64 alpha (-.f64 4 (*.f64 alpha alpha))) (-.f64 2 alpha))
(*.f64 (/.f64 (/.f64 alpha 1) (neg.f64 (fma.f64 alpha alpha -4))) (neg.f64 (+.f64 alpha -2)))
(*.f64 (/.f64 (/.f64 alpha 1) (neg.f64 (+.f64 8 (pow.f64 alpha 3)))) (neg.f64 (+.f64 4 (*.f64 alpha (+.f64 alpha -2)))))
(*.f64 (/.f64 (/.f64 alpha 1) (-.f64 4 (*.f64 alpha alpha))) (-.f64 2 alpha))
(*.f64 (/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 8 (pow.f64 alpha 3)))) (sqrt.f64 (+.f64 4 (*.f64 alpha (+.f64 alpha -2)))))
(*.f64 (/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (fma.f64 alpha alpha -4))) (sqrt.f64 (+.f64 alpha -2)))
(*.f64 (/.f64 (/.f64 alpha (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (+.f64 8 (pow.f64 alpha 3)))) (cbrt.f64 (+.f64 4 (*.f64 alpha (+.f64 alpha -2)))))
(*.f64 (/.f64 (/.f64 alpha (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (fma.f64 alpha alpha -4))) (cbrt.f64 (+.f64 alpha -2)))
(pow.f64 (/.f64 alpha (+.f64 alpha 2)) 1)
(pow.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2)
(pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 3)
(pow.f64 (/.f64 (+.f64 alpha 2) alpha) -1)
(pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) 1/3)
(neg.f64 (/.f64 alpha (-.f64 -2 alpha)))
(sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))
(log.f64 (exp.f64 (/.f64 alpha (+.f64 alpha 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 alpha (+.f64 alpha 2)))))
(cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))
(expm1.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha 2))))
(exp.f64 (log.f64 (/.f64 alpha (+.f64 alpha 2))))
(log1p.f64 (expm1.f64 (/.f64 alpha (+.f64 alpha 2))))
Outputs
1
(+.f64 1 (*.f64 -1/2 alpha))
(fma.f64 -1/2 alpha 1)
(+.f64 1 (+.f64 (*.f64 -1/2 alpha) (*.f64 1/4 (pow.f64 alpha 2))))
(+.f64 1 (fma.f64 -1/2 alpha (*.f64 1/4 (*.f64 alpha alpha))))
(+.f64 1 (fma.f64 -1/2 alpha (*.f64 alpha (*.f64 alpha 1/4))))
(+.f64 1 (*.f64 alpha (+.f64 -1/2 (*.f64 alpha 1/4))))
(+.f64 (*.f64 -1/8 (pow.f64 alpha 3)) (+.f64 1 (+.f64 (*.f64 -1/2 alpha) (*.f64 1/4 (pow.f64 alpha 2)))))
(fma.f64 -1/8 (pow.f64 alpha 3) (+.f64 1 (fma.f64 -1/2 alpha (*.f64 1/4 (*.f64 alpha alpha)))))
(+.f64 (fma.f64 -1/2 alpha (*.f64 alpha (*.f64 alpha 1/4))) (fma.f64 -1/8 (pow.f64 alpha 3) 1))
(+.f64 (*.f64 alpha (+.f64 -1/2 (*.f64 alpha 1/4))) (fma.f64 -1/8 (pow.f64 alpha 3) 1))
(/.f64 2 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 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))))
(+.f64 (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) (/.f64 8 (pow.f64 alpha 3)))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 alpha 4))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4)))))
(-.f64 (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3))) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4))))
(+.f64 (/.f64 2 alpha) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 -4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4)))))
(/.f64 2 alpha)
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha)))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))))
(+.f64 (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) (/.f64 8 (pow.f64 alpha 3)))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 alpha 4))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4)))))
(-.f64 (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3))) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4))))
(+.f64 (/.f64 2 alpha) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 -4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4)))))
(*.f64 1/2 alpha)
(*.f64 alpha 1/2)
(+.f64 (*.f64 1/2 alpha) (*.f64 -1/4 (pow.f64 alpha 2)))
(fma.f64 1/2 alpha (*.f64 -1/4 (*.f64 alpha alpha)))
(fma.f64 alpha 1/2 (*.f64 alpha (*.f64 alpha -1/4)))
(*.f64 alpha (+.f64 1/2 (*.f64 alpha -1/4)))
(+.f64 (*.f64 1/2 alpha) (+.f64 (*.f64 1/8 (pow.f64 alpha 3)) (*.f64 -1/4 (pow.f64 alpha 2))))
(fma.f64 1/2 alpha (fma.f64 1/8 (pow.f64 alpha 3) (*.f64 -1/4 (*.f64 alpha alpha))))
(fma.f64 alpha 1/2 (fma.f64 (pow.f64 alpha 3) 1/8 (*.f64 alpha (*.f64 alpha -1/4))))
(fma.f64 alpha 1/2 (*.f64 (*.f64 alpha alpha) (+.f64 -1/4 (*.f64 alpha 1/8))))
(+.f64 (*.f64 1/2 alpha) (+.f64 (*.f64 -1/16 (pow.f64 alpha 4)) (+.f64 (*.f64 1/8 (pow.f64 alpha 3)) (*.f64 -1/4 (pow.f64 alpha 2)))))
(fma.f64 1/2 alpha (fma.f64 -1/16 (pow.f64 alpha 4) (fma.f64 1/8 (pow.f64 alpha 3) (*.f64 -1/4 (*.f64 alpha alpha)))))
(fma.f64 alpha 1/2 (fma.f64 (pow.f64 alpha 4) -1/16 (fma.f64 (pow.f64 alpha 3) 1/8 (*.f64 alpha (*.f64 alpha -1/4)))))
(fma.f64 alpha 1/2 (fma.f64 (pow.f64 alpha 4) -1/16 (*.f64 (*.f64 alpha alpha) (+.f64 -1/4 (*.f64 alpha 1/8)))))
1
(-.f64 1 (*.f64 2 (/.f64 1 alpha)))
(-.f64 1 (/.f64 2 alpha))
(+.f64 1 (/.f64 -2 alpha))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 2 (/.f64 1 alpha)))
(+.f64 1 (-.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 2 alpha)))
(+.f64 1 (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 -2 alpha)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))))
(-.f64 (+.f64 1 (/.f64 4 (*.f64 alpha alpha))) (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3))))
(+.f64 1 (-.f64 (/.f64 4 (*.f64 alpha alpha)) (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3)))))
(+.f64 (/.f64 4 (*.f64 alpha alpha)) (+.f64 1 (-.f64 (/.f64 -2 alpha) (/.f64 8 (pow.f64 alpha 3)))))
1
(-.f64 1 (*.f64 2 (/.f64 1 alpha)))
(-.f64 1 (/.f64 2 alpha))
(+.f64 1 (/.f64 -2 alpha))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 2 (/.f64 1 alpha)))
(+.f64 1 (-.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 2 alpha)))
(+.f64 1 (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 -2 alpha)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))))
(-.f64 (+.f64 1 (/.f64 4 (*.f64 alpha alpha))) (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3))))
(+.f64 1 (-.f64 (/.f64 4 (*.f64 alpha alpha)) (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3)))))
(+.f64 (/.f64 4 (*.f64 alpha alpha)) (+.f64 1 (-.f64 (/.f64 -2 alpha) (/.f64 8 (pow.f64 alpha 3)))))
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(+.f64 (/.f64 alpha (-.f64 -2 alpha)) 1)
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(+.f64 (-.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 1)
(+.f64 1 (-.f64 0 (/.f64 alpha (+.f64 alpha 2))))
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(*.f64 1 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(*.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 1)
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2))
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2) (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (/.f64 1 (+.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))
(*.f64 (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(*.f64 (/.f64 1 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)))
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (/.f64 1 (+.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (+.f64 1 (-.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) (/.f64 alpha (+.f64 alpha 2)))))
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(*.f64 (/.f64 (cbrt.f64 alpha) (+.f64 alpha 2)) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) 1))
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(/.f64 alpha (+.f64 alpha 2))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha 2))) (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))))
(/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 alpha 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (/.f64 alpha (cbrt.f64 (+.f64 alpha 2))))
(/.f64 (*.f64 (/.f64 alpha (cbrt.f64 (+.f64 alpha 2))) 1) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2))
(/.f64 (/.f64 alpha (cbrt.f64 (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2))
(*.f64 (/.f64 alpha 1) (/.f64 1 (+.f64 alpha 2)))
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(/.f64 alpha (+.f64 alpha 2))
(*.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (/.f64 1 (sqrt.f64 (+.f64 alpha 2))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha 2))) (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))))
(/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 alpha 2)))
(*.f64 (/.f64 alpha (cbrt.f64 (+.f64 alpha 2))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)))
(/.f64 (*.f64 (/.f64 alpha (cbrt.f64 (+.f64 alpha 2))) 1) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2))
(/.f64 (/.f64 alpha (cbrt.f64 (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2))
(*.f64 (/.f64 1 (fma.f64 alpha alpha -4)) (*.f64 alpha (+.f64 alpha -2)))
(*.f64 (/.f64 alpha (fma.f64 alpha alpha -4)) (+.f64 alpha -2))
(/.f64 (+.f64 alpha -2) (/.f64 (fma.f64 alpha alpha -4) alpha))
(*.f64 (/.f64 1 (+.f64 8 (pow.f64 alpha 3))) (*.f64 alpha (+.f64 4 (*.f64 alpha (+.f64 alpha -2)))))
(*.f64 (/.f64 alpha (+.f64 (pow.f64 alpha 3) 8)) (+.f64 (*.f64 alpha alpha) (+.f64 4 (*.f64 alpha -2))))
(*.f64 (/.f64 alpha (+.f64 (pow.f64 alpha 3) 8)) (fma.f64 alpha (+.f64 alpha -2) 4))
(*.f64 (/.f64 alpha (fma.f64 alpha alpha -4)) (+.f64 alpha -2))
(/.f64 (+.f64 alpha -2) (/.f64 (fma.f64 alpha alpha -4) alpha))
(*.f64 (/.f64 alpha (+.f64 8 (pow.f64 alpha 3))) (+.f64 4 (*.f64 alpha (+.f64 alpha -2))))
(*.f64 (/.f64 alpha (+.f64 (pow.f64 alpha 3) 8)) (+.f64 (*.f64 alpha alpha) (+.f64 4 (*.f64 alpha -2))))
(*.f64 (/.f64 alpha (+.f64 (pow.f64 alpha 3) 8)) (fma.f64 alpha (+.f64 alpha -2) 4))
(*.f64 (/.f64 -1 (+.f64 alpha 2)) (neg.f64 alpha))
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(/.f64 alpha (+.f64 alpha 2))
(*.f64 (/.f64 (sqrt.f64 alpha) 1) (/.f64 (sqrt.f64 alpha) (+.f64 alpha 2)))
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(/.f64 alpha (+.f64 alpha 2))
(*.f64 (/.f64 (sqrt.f64 alpha) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (/.f64 (sqrt.f64 alpha) (cbrt.f64 (+.f64 alpha 2))))
(/.f64 (*.f64 (/.f64 alpha (cbrt.f64 (+.f64 alpha 2))) 1) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2))
(/.f64 (/.f64 alpha (cbrt.f64 (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2))
(*.f64 (/.f64 (sqrt.f64 alpha) (cbrt.f64 (+.f64 alpha 2))) (/.f64 (sqrt.f64 alpha) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)))
(/.f64 (*.f64 (/.f64 alpha (cbrt.f64 (+.f64 alpha 2))) 1) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2))
(/.f64 (/.f64 alpha (cbrt.f64 (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) 1) (/.f64 (cbrt.f64 alpha) (+.f64 alpha 2)))
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(/.f64 alpha (+.f64 alpha 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (+.f64 alpha 2))) (/.f64 (cbrt.f64 alpha) (sqrt.f64 (+.f64 alpha 2))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha 2))) (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))))
(/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 alpha 2)))
(*.f64 (/.f64 (cbrt.f64 alpha) (sqrt.f64 (+.f64 alpha 2))) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (+.f64 alpha 2))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha 2))) (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))))
(/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 alpha 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))))
(*.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)))
(*.f64 (/.f64 (/.f64 alpha 1) 1) (/.f64 1 (+.f64 alpha 2)))
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(/.f64 alpha (+.f64 alpha 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (+.f64 alpha 2)) (cbrt.f64 alpha))
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(/.f64 alpha (+.f64 alpha 2))
(*.f64 (/.f64 alpha (neg.f64 (fma.f64 alpha alpha -4))) (neg.f64 (+.f64 alpha -2)))
(*.f64 (/.f64 alpha (neg.f64 (fma.f64 alpha alpha -4))) (+.f64 (neg.f64 alpha) 2))
(*.f64 (/.f64 alpha (neg.f64 (fma.f64 alpha alpha -4))) (-.f64 2 alpha))
(*.f64 (/.f64 alpha (neg.f64 (+.f64 8 (pow.f64 alpha 3)))) (neg.f64 (+.f64 4 (*.f64 alpha (+.f64 alpha -2)))))
(*.f64 (/.f64 alpha (+.f64 -8 (neg.f64 (pow.f64 alpha 3)))) (+.f64 -4 (neg.f64 (*.f64 alpha (+.f64 alpha -2)))))
(/.f64 (*.f64 alpha (+.f64 -4 (*.f64 alpha (-.f64 2 alpha)))) (-.f64 -8 (pow.f64 alpha 3)))
(/.f64 (neg.f64 alpha) (/.f64 (-.f64 -8 (pow.f64 alpha 3)) (fma.f64 alpha (+.f64 alpha -2) 4)))
(*.f64 (/.f64 (neg.f64 alpha) (neg.f64 (fma.f64 alpha alpha -4))) (+.f64 alpha -2))
(*.f64 (/.f64 alpha (neg.f64 (fma.f64 alpha alpha -4))) (+.f64 (neg.f64 alpha) 2))
(*.f64 (/.f64 alpha (neg.f64 (fma.f64 alpha alpha -4))) (-.f64 2 alpha))
(*.f64 (/.f64 (neg.f64 alpha) (neg.f64 (+.f64 8 (pow.f64 alpha 3)))) (+.f64 4 (*.f64 alpha (+.f64 alpha -2))))
(*.f64 (/.f64 alpha (+.f64 -8 (neg.f64 (pow.f64 alpha 3)))) (+.f64 -4 (neg.f64 (*.f64 alpha (+.f64 alpha -2)))))
(/.f64 (*.f64 alpha (+.f64 -4 (*.f64 alpha (-.f64 2 alpha)))) (-.f64 -8 (pow.f64 alpha 3)))
(/.f64 (neg.f64 alpha) (/.f64 (-.f64 -8 (pow.f64 alpha 3)) (fma.f64 alpha (+.f64 alpha -2) 4)))
(*.f64 (/.f64 1 (/.f64 (+.f64 alpha 2) (pow.f64 (cbrt.f64 alpha) 2))) (cbrt.f64 alpha))
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(/.f64 alpha (+.f64 alpha 2))
(*.f64 (/.f64 alpha (-.f64 4 (*.f64 alpha alpha))) (-.f64 2 alpha))
(*.f64 (/.f64 alpha (neg.f64 (fma.f64 alpha alpha -4))) (+.f64 (neg.f64 alpha) 2))
(*.f64 (/.f64 alpha (neg.f64 (fma.f64 alpha alpha -4))) (-.f64 2 alpha))
(*.f64 (/.f64 (/.f64 alpha 1) (neg.f64 (fma.f64 alpha alpha -4))) (neg.f64 (+.f64 alpha -2)))
(*.f64 (/.f64 alpha (neg.f64 (fma.f64 alpha alpha -4))) (+.f64 (neg.f64 alpha) 2))
(*.f64 (/.f64 alpha (neg.f64 (fma.f64 alpha alpha -4))) (-.f64 2 alpha))
(*.f64 (/.f64 (/.f64 alpha 1) (neg.f64 (+.f64 8 (pow.f64 alpha 3)))) (neg.f64 (+.f64 4 (*.f64 alpha (+.f64 alpha -2)))))
(*.f64 (/.f64 alpha (+.f64 -8 (neg.f64 (pow.f64 alpha 3)))) (+.f64 -4 (neg.f64 (*.f64 alpha (+.f64 alpha -2)))))
(/.f64 (*.f64 alpha (+.f64 -4 (*.f64 alpha (-.f64 2 alpha)))) (-.f64 -8 (pow.f64 alpha 3)))
(/.f64 (neg.f64 alpha) (/.f64 (-.f64 -8 (pow.f64 alpha 3)) (fma.f64 alpha (+.f64 alpha -2) 4)))
(*.f64 (/.f64 (/.f64 alpha 1) (-.f64 4 (*.f64 alpha alpha))) (-.f64 2 alpha))
(*.f64 (/.f64 alpha (neg.f64 (fma.f64 alpha alpha -4))) (+.f64 (neg.f64 alpha) 2))
(*.f64 (/.f64 alpha (neg.f64 (fma.f64 alpha alpha -4))) (-.f64 2 alpha))
(*.f64 (/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 8 (pow.f64 alpha 3)))) (sqrt.f64 (+.f64 4 (*.f64 alpha (+.f64 alpha -2)))))
(*.f64 (/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 (pow.f64 alpha 3) 8))) (sqrt.f64 (+.f64 4 (*.f64 alpha (+.f64 alpha -2)))))
(*.f64 (/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 (pow.f64 alpha 3) 8))) (sqrt.f64 (fma.f64 alpha (+.f64 alpha -2) 4)))
(*.f64 (/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (fma.f64 alpha alpha -4))) (sqrt.f64 (+.f64 alpha -2)))
(*.f64 (/.f64 alpha (*.f64 (sqrt.f64 (fma.f64 alpha alpha -4)) (sqrt.f64 (+.f64 alpha 2)))) (sqrt.f64 (+.f64 alpha -2)))
(*.f64 (/.f64 (/.f64 alpha (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (+.f64 8 (pow.f64 alpha 3)))) (cbrt.f64 (+.f64 4 (*.f64 alpha (+.f64 alpha -2)))))
(*.f64 (/.f64 alpha (*.f64 (cbrt.f64 (+.f64 (pow.f64 alpha 3) 8)) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2))) (cbrt.f64 (+.f64 4 (*.f64 alpha (+.f64 alpha -2)))))
(*.f64 (/.f64 alpha (*.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2) (cbrt.f64 (+.f64 (pow.f64 alpha 3) 8)))) (cbrt.f64 (fma.f64 alpha (+.f64 alpha -2) 4)))
(*.f64 (/.f64 (/.f64 alpha (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (fma.f64 alpha alpha -4))) (cbrt.f64 (+.f64 alpha -2)))
(*.f64 (/.f64 alpha (*.f64 (cbrt.f64 (fma.f64 alpha alpha -4)) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2))) (cbrt.f64 (+.f64 alpha -2)))
(*.f64 (/.f64 (/.f64 alpha (cbrt.f64 (fma.f64 alpha alpha -4))) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (+.f64 alpha -2)))
(pow.f64 (/.f64 alpha (+.f64 alpha 2)) 1)
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(/.f64 alpha (+.f64 alpha 2))
(pow.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2)
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(/.f64 alpha (+.f64 alpha 2))
(pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 3)
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(/.f64 alpha (+.f64 alpha 2))
(pow.f64 (/.f64 (+.f64 alpha 2) alpha) -1)
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(/.f64 alpha (+.f64 alpha 2))
(pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) 1/3)
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(/.f64 alpha (+.f64 alpha 2))
(neg.f64 (/.f64 alpha (-.f64 -2 alpha)))
(/.f64 (neg.f64 alpha) (-.f64 -2 alpha))
(sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))
(fabs.f64 (/.f64 alpha (+.f64 alpha 2)))
(log.f64 (exp.f64 (/.f64 alpha (+.f64 alpha 2))))
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(/.f64 alpha (+.f64 alpha 2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 alpha (+.f64 alpha 2)))))
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(/.f64 alpha (+.f64 alpha 2))
(cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(/.f64 alpha (+.f64 alpha 2))
(expm1.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha 2))))
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(/.f64 alpha (+.f64 alpha 2))
(exp.f64 (log.f64 (/.f64 alpha (+.f64 alpha 2))))
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(/.f64 alpha (+.f64 alpha 2))
(log1p.f64 (expm1.f64 (/.f64 alpha (+.f64 alpha 2))))
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(/.f64 alpha (+.f64 alpha 2))

localize87.0ms (0.6%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.02%
(+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
0.04%
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
3.28%
(-.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)
Compiler

Compiled 65 to 38 computations (41.5% saved)

series4.0ms (0%)

Counts
3 → 72
Calls

18 calls:

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

rewrite115.0ms (0.8%)

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 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
(+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) -1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (+.f64 (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 2 alpha)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) -1) 1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 2 alpha)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 2 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 1)) (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 1)) 2) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) 2) -1) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (pow.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) 3)) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) (+.f64 3 (pow.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (sqrt.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))))) (-.f64 (sqrt.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 3)) 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beta (+.f64 2 alpha))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 4 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2))) (neg.f64 (-.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 8 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 3))) (neg.f64 (+.f64 4 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 2 alpha))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) 2) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) 2)))))

simplify190.0ms (1.4%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
073119128
1236519026
Stop Event
node limit
Counts
250 → 475
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 -1 (/.f64 alpha (+.f64 2 alpha)))
(+.f64 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))))
(+.f64 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))))
(+.f64 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (*.f64 (pow.f64 beta 3) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))))) (+.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 alpha (+.f64 2 alpha))))))
1
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 1) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) 1)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 1 (/.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))))
1
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 1) (+.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)) 1)) (+.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 1 (/.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 beta (+.f64 beta 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 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)) (+.f64 beta 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 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)) (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2)))))
-1
(-.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1))
(-.f64 (+.f64 (/.f64 beta alpha) (*.f64 -1 (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1))
(-.f64 (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1))
-1
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (/.f64 (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (+.f64 beta 2)) (pow.f64 alpha 2))) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (/.f64 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2))) (pow.f64 alpha 2)))) 1)
(-.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))))
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(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (/.f64 1 (+.f64 beta (+.f64 2 alpha)))) (+.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 2 alpha)))) (sqrt.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2)))) (sqrt.f64 (-.f64 beta (+.f64 2 alpha))))
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 2 alpha)))) (sqrt.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3)))) (sqrt.f64 (fma.f64 beta beta (*.f64 (+.f64 2 alpha) (-.f64 (+.f64 2 alpha) beta)))))
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) 2)) (cbrt.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2)))) (cbrt.f64 (-.f64 beta (+.f64 2 alpha))))
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) 2)) (cbrt.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3)))) (cbrt.f64 (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 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (-.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 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3)))) (*.f64 (fma.f64 beta beta (*.f64 (+.f64 2 alpha) (-.f64 (+.f64 2 alpha) beta))) (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 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)))))
(-.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 1) -1)
(-.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 3) 1)
(-.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 2 alpha))) 2))
(-.f64 (+.f64 2 (/.f64 beta (+.f64 beta (+.f64 2 alpha)))) (/.f64 alpha (+.f64 beta (+.f64 2 alpha))))
(-.f64 (/.f64 4 (-.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))))) (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2) (-.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))))))
(-.f64 (+.f64 1 (/.f64 (pow.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) 2) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 3))) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 3)))
(-.f64 (+.f64 1 (/.f64 (pow.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) 3) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) (+.f64 3 (pow.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) 2))))) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) (+.f64 3 (pow.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) 2)))))
(*.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) 1)
(*.f64 1 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))))
(*.f64 (sqrt.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))))) (sqrt.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))))))
(*.f64 (sqrt.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))))) (*.f64 (sqrt.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))))) 1))
(*.f64 (cbrt.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))))) (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))))) 2) (cbrt.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))))) 2) (*.f64 (cbrt.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))))) 1))
(*.f64 (-.f64 4 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)) (/.f64 1 (-.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))))))
(*.f64 (+.f64 8 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 3)) (/.f64 1 (+.f64 4 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)))))
(*.f64 (/.f64 1 (-.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))))) (-.f64 4 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)))
(*.f64 (/.f64 1 (+.f64 4 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)))) (+.f64 8 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 3)))
(*.f64 (/.f64 (-.f64 4 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)) (-.f64 4 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2))) (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))))
(*.f64 (/.f64 (-.f64 4 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)) (-.f64 8 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 3))) (+.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2) 4) (*.f64 (/.f64 2 (+.f64 beta (+.f64 2 alpha))) (-.f64 beta alpha))))
(*.f64 (/.f64 (+.f64 8 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 3)) (-.f64 16 (*.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2))))) (-.f64 4 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2))))
(*.f64 (/.f64 (+.f64 8 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 3)) (+.f64 64 (pow.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)) 3))) (+.f64 16 (-.f64 (*.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2))) (*.f64 4 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2))))))
(*.f64 (/.f64 (*.f64 (-.f64 4 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)) 1) (-.f64 4 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2))) (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))))
(*.f64 (/.f64 (*.f64 (-.f64 4 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)) 1) (-.f64 8 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 3))) (+.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2) 4) (*.f64 (/.f64 2 (+.f64 beta (+.f64 2 alpha))) (-.f64 beta alpha))))
(*.f64 (/.f64 (*.f64 (+.f64 8 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 3)) 1) (-.f64 16 (*.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2))))) (-.f64 4 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2))))
(*.f64 (/.f64 (*.f64 (+.f64 8 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 3)) 1) (+.f64 64 (pow.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)) 3))) (+.f64 16 (-.f64 (*.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2))) (*.f64 4 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2))))))
(/.f64 1 (/.f64 1 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))))))
(/.f64 (-.f64 4 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)) (-.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))))
(/.f64 (-.f64 4 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)) (/.f64 (-.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) 1))
(/.f64 (+.f64 8 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 3)) (+.f64 4 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2))))
(/.f64 (+.f64 8 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 3)) (/.f64 (+.f64 4 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2))) 1))
(/.f64 (sqrt.f64 (-.f64 4 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2))) (/.f64 (-.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) (sqrt.f64 (-.f64 4 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)))))
(/.f64 (sqrt.f64 (+.f64 8 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 3))) (/.f64 (+.f64 4 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2))) (sqrt.f64 (+.f64 8 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 4 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2))) (cbrt.f64 (-.f64 4 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)))) (/.f64 (-.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) (cbrt.f64 (-.f64 4 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 8 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 3))) (cbrt.f64 (+.f64 8 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 3)))) (/.f64 (+.f64 4 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2))) (cbrt.f64 (+.f64 8 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 3)))))
(/.f64 (*.f64 (-.f64 4 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)) 1) (-.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))))
(/.f64 (*.f64 (+.f64 8 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 3)) 1) (+.f64 4 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2))))
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2) 4) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2))
(/.f64 (neg.f64 (-.f64 4 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2))) (neg.f64 (-.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))))))
(/.f64 (neg.f64 (+.f64 8 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 3))) (neg.f64 (+.f64 4 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)))))
(pow.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) 1)
(pow.f64 (sqrt.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))))) 2)
(pow.f64 (cbrt.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))))) 3)
(pow.f64 (pow.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) 2))
(log.f64 (exp.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))))))
(cbrt.f64 (pow.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) 3))
(expm1.f64 (log.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 3)))
(exp.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))))))
(exp.f64 (*.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))))) 1))
(log1p.f64 (expm1.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))))))
(fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 2 alpha))) 2)
(fma.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)
(fma.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) 2)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) 2) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 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) (-.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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2
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2
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(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
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(*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))
(/.f64 (neg.f64 alpha) (+.f64 alpha 2))
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1
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1
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-1
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-1
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(fma.f64 -1 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) -1)
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3
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3
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1
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1
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(+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)))
(+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))
(pow.f64 (cbrt.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))))) 3)
(+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)))
(+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))
(pow.f64 (pow.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) 3) 1/3)
(+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)))
(+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))
(sqrt.f64 (pow.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) 2))
(sqrt.f64 (pow.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha))) 2))
(sqrt.f64 (pow.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 2))
(log.f64 (exp.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))))))
(+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)))
(+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))))))
(+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)))
(+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))
(cbrt.f64 (pow.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) 3))
(+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)))
(+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))
(expm1.f64 (log.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 3)))
(expm1.f64 (log.f64 (+.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)))))
(expm1.f64 (log.f64 (+.f64 3 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))))
(exp.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))))))
(+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)))
(+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))
(exp.f64 (*.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))))) 1))
(+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)))
(+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))
(log1p.f64 (expm1.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))))))
(+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)))
(+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))
(fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 2 alpha))) 2)
(+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)))
(+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))
(fma.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2)
(+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)))
(+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))
(fma.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) 2)
(+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)))
(+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) 2) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) 2)
(+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 beta) alpha)))
(+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))

localize71.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.02%
(*.f64 beta (+.f64 2 beta))
0.04%
(+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta)))
3.75%
(+.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)))
5.94%
(/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))
Compiler

Compiled 142 to 87 computations (38.7% saved)

series33.0ms (0.2%)

Counts
4 → 72
Calls

18 calls:

TimeVariablePointExpression
25.0ms
beta
@0
(/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))
3.0ms
alpha
@0
(/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))
1.0ms
alpha
@0
(+.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)))
1.0ms
beta
@-inf
(+.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)))
1.0ms
beta
@0
(+.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)))

rewrite156.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
608×associate-+l+
452×+-commutative
420×add-sqr-sqrt
410×*-un-lft-identity
408×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
016158
1391132
26629132
Stop Event
node limit
Counts
4 → 199
Calls
Call 1
Inputs
(/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))
(+.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 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta)))
(*.f64 beta (+.f64 2 beta))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 (+.f64 2 beta) (sqrt.f64 (*.f64 beta (+.f64 2 beta)))) alpha) (/.f64 (hypot.f64 (+.f64 2 beta) (sqrt.f64 (*.f64 beta (+.f64 2 beta)))) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 (+.f64 2 beta) (sqrt.f64 (*.f64 beta (+.f64 2 beta)))) (*.f64 (hypot.f64 (+.f64 2 beta) (sqrt.f64 (*.f64 beta (+.f64 2 beta)))) (pow.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 beta alpha) (-.f64 (/.f64 (+.f64 2 beta) alpha) (*.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2)))) (-.f64 1 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha))) (-.f64 1 (*.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2) (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2)) (/.f64 beta alpha)) (/.f64 (+.f64 2 beta) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 beta -2) alpha) (-.f64 (/.f64 beta alpha) (*.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha) 2) (/.f64 (-.f64 (+.f64 beta (+.f64 beta -2)) (/.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) alpha)) alpha)) (/.f64 (/.f64 (pow.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) 2) (pow.f64 alpha 4)) (/.f64 (-.f64 (+.f64 beta (+.f64 beta -2)) (/.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) alpha)) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2)) (exp.f64 (log1p.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2)) (/.f64 (+.f64 beta -2) alpha)) (/.f64 beta alpha))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha) (exp.f64 (log1p.f64 (*.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2) (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2) (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2) (/.f64 (+.f64 beta (+.f64 beta -2)) alpha))) (sqrt.f64 (fma.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2) (/.f64 (+.f64 beta (+.f64 beta -2)) alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 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simplify148.0ms (1.1%)

Algorithm
egg-herbie
Rules
946×fma-def
856×associate-*r*
822×associate-*l*
778×times-frac
666×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
055815115
1166413107
Stop Event
node limit
Counts
271 → 368
Calls
Call 1
Inputs
(/.f64 4 (pow.f64 alpha 2))
(+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (*.f64 6 (/.f64 beta (pow.f64 alpha 2))))
(+.f64 (*.f64 4 (/.f64 1 (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 4 (/.f64 1 (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 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 6 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(+.f64 (*.f64 6 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (*.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 6 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(+.f64 (*.f64 6 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(/.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) (*.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 (pow.f64 (+.f64 beta 2) 2) (*.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 (pow.f64 (+.f64 beta 2) 2) (*.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 (pow.f64 (+.f64 beta 2) 2) (*.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 (pow.f64 (+.f64 beta 2) 2) (*.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 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(-.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 (*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 (*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 (*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(+.f64 (*.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 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 (*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(+.f64 (*.f64 -1 (*.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 -1 (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2)))))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 2 (/.f64 1 alpha)))
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4
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(/.f64 (+.f64 (/.f64 (*.f64 alpha alpha) (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))) (*.f64 (/.f64 alpha (+.f64 beta (+.f64 beta -2))) 1)) (*.f64 (/.f64 alpha (+.f64 beta (+.f64 beta -2))) (/.f64 (*.f64 alpha alpha) (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))))))
(/.f64 (+.f64 alpha (*.f64 (/.f64 alpha (+.f64 beta (+.f64 beta -2))) (/.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) alpha))) (*.f64 (/.f64 alpha (+.f64 beta (+.f64 beta -2))) alpha))
(/.f64 (+.f64 (*.f64 alpha (neg.f64 alpha)) (*.f64 (/.f64 alpha (+.f64 beta (+.f64 beta -2))) (neg.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))))) (*.f64 (/.f64 alpha (+.f64 beta (+.f64 beta -2))) (*.f64 alpha (neg.f64 alpha))))
(/.f64 (+.f64 (*.f64 (+.f64 2 (+.f64 beta beta)) (*.f64 alpha alpha)) (*.f64 (neg.f64 alpha) (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))))) (*.f64 (neg.f64 alpha) (*.f64 alpha alpha)))
(/.f64 (+.f64 (*.f64 (+.f64 2 (+.f64 beta beta)) (/.f64 (*.f64 alpha alpha) (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))))) (*.f64 (neg.f64 alpha) 1)) (*.f64 (neg.f64 alpha) (/.f64 (*.f64 alpha alpha) (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))))))
(/.f64 (+.f64 (*.f64 (+.f64 2 (+.f64 beta beta)) alpha) (*.f64 (neg.f64 alpha) (/.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) alpha))) (*.f64 alpha (neg.f64 alpha)))
(/.f64 (+.f64 (*.f64 (+.f64 2 (+.f64 beta beta)) (*.f64 alpha (neg.f64 alpha))) (*.f64 (neg.f64 alpha) (neg.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))))) (*.f64 (neg.f64 alpha) (*.f64 alpha (neg.f64 alpha))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha) 2) (/.f64 (pow.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) 2) (pow.f64 alpha 4)))) (neg.f64 (/.f64 (-.f64 (+.f64 beta (+.f64 beta -2)) (/.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) alpha)) alpha)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha) 3) (pow.f64 (*.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2)) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha) 2) (-.f64 (/.f64 (pow.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) 2) (pow.f64 alpha 4)) (/.f64 (*.f64 (+.f64 beta (+.f64 beta -2)) (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))) (pow.f64 alpha 3))))))
(/.f64 (neg.f64 (fma.f64 (+.f64 beta (+.f64 beta -2)) (*.f64 alpha alpha) (*.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) alpha))) (neg.f64 (pow.f64 alpha 3)))
(pow.f64 (fma.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2) (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)) 1)
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2) (/.f64 (+.f64 beta (+.f64 beta -2)) alpha))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2) (/.f64 (+.f64 beta (+.f64 beta -2)) alpha))) 3)
(pow.f64 (pow.f64 (fma.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2) (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2) (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)) 2))
(log.f64 (exp.f64 (fma.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2) (/.f64 (+.f64 beta (+.f64 beta -2)) alpha))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2) (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)))))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2) (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2) (/.f64 (+.f64 beta (+.f64 beta -2)) alpha))))
(exp.f64 (log.f64 (fma.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2) (/.f64 (+.f64 beta (+.f64 beta -2)) alpha))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2) (/.f64 (+.f64 beta (+.f64 beta -2)) alpha))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2) (/.f64 (+.f64 beta (+.f64 beta -2)) alpha))))
(fma.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2) (/.f64 (+.f64 beta (+.f64 beta -2)) alpha))
(fma.f64 (+.f64 beta (+.f64 beta -2)) (/.f64 1 alpha) (*.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2)))
(fma.f64 1 (*.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2)) (/.f64 (+.f64 beta (+.f64 beta -2)) alpha))
(fma.f64 1 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha) (*.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2)))
(fma.f64 (sqrt.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)) (sqrt.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)) (*.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2)))
(fma.f64 (/.f64 (hypot.f64 (+.f64 2 beta) (sqrt.f64 (*.f64 beta (+.f64 2 beta)))) alpha) (/.f64 (hypot.f64 (+.f64 2 beta) (sqrt.f64 (*.f64 beta (+.f64 2 beta)))) alpha) (/.f64 (+.f64 beta (+.f64 beta -2)) alpha))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)) 2) (cbrt.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)) (*.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2)))
(fma.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) 2) (pow.f64 alpha 4))) (cbrt.f64 (*.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2))) (/.f64 (+.f64 beta (+.f64 beta -2)) alpha))
(-.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta)))
(-.f64 (pow.f64 (+.f64 2 beta) 2) (-.f64 (*.f64 beta (+.f64 2 beta)) (fma.f64 (+.f64 beta -2) beta (*.f64 beta (+.f64 2 beta)))))
(-.f64 (pow.f64 (+.f64 2 beta) 2) (-.f64 (*.f64 beta (+.f64 2 beta)) (fma.f64 beta (+.f64 2 beta) (*.f64 beta (+.f64 2 beta)))))
(-.f64 (pow.f64 (+.f64 2 beta) 2) (-.f64 (*.f64 beta (+.f64 2 beta)) (fma.f64 (*.f64 beta (+.f64 2 beta)) 1 (*.f64 beta (+.f64 2 beta)))))
(-.f64 (pow.f64 (+.f64 2 beta) 2) (-.f64 (*.f64 beta (+.f64 2 beta)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 beta (+.f64 2 beta)))) (sqrt.f64 (*.f64 beta (+.f64 2 beta))) (*.f64 beta (+.f64 2 beta)))))
(-.f64 (pow.f64 (+.f64 2 beta) 2) (-.f64 (*.f64 beta (+.f64 2 beta)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 beta (+.f64 2 beta)))) (pow.f64 (cbrt.f64 (*.f64 beta (+.f64 2 beta))) 2) (*.f64 beta (+.f64 2 beta)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 beta (+.f64 2 beta)))) (-.f64 1 (pow.f64 (+.f64 2 beta) 2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))))) (-.f64 1 (fma.f64 (+.f64 beta -2) beta (*.f64 beta (+.f64 2 beta)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))))) (-.f64 1 (fma.f64 beta (+.f64 2 beta) (*.f64 beta (+.f64 2 beta)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))))) (-.f64 1 (fma.f64 (*.f64 beta (+.f64 2 beta)) 1 (*.f64 beta (+.f64 2 beta)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))))) (-.f64 1 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 beta (+.f64 2 beta)))) (sqrt.f64 (*.f64 beta (+.f64 2 beta))) (*.f64 beta (+.f64 2 beta)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))))) (-.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 beta (+.f64 2 beta)))) (pow.f64 (cbrt.f64 (*.f64 beta (+.f64 2 beta))) 2) (*.f64 beta (+.f64 2 beta)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 2 beta) 2))) (-.f64 1 (*.f64 beta (+.f64 2 beta))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 2 beta) 2))) (-.f64 1 (*.f64 (+.f64 beta -2) beta)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 2 beta) 2))) (-.f64 1 (*.f64 (neg.f64 (sqrt.f64 (*.f64 beta (+.f64 2 beta)))) (sqrt.f64 (*.f64 beta (+.f64 2 beta))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 2 beta) 2))) (-.f64 1 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 beta (+.f64 2 beta))) 2)) (cbrt.f64 (*.f64 beta (+.f64 2 beta))))))
(-.f64 (-.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 2 beta)) (*.f64 beta beta))
(-.f64 (-.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 2 beta)) (-.f64 (*.f64 beta beta) (fma.f64 (+.f64 beta -2) beta (*.f64 beta (+.f64 2 beta)))))
(-.f64 (-.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 2 beta)) (-.f64 (*.f64 beta beta) (fma.f64 beta (+.f64 2 beta) (*.f64 beta (+.f64 2 beta)))))
(-.f64 (-.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 2 beta)) (-.f64 (*.f64 beta beta) (fma.f64 (*.f64 beta (+.f64 2 beta)) 1 (*.f64 beta (+.f64 2 beta)))))
(-.f64 (-.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 2 beta)) (-.f64 (*.f64 beta beta) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 beta (+.f64 2 beta)))) (sqrt.f64 (*.f64 beta (+.f64 2 beta))) (*.f64 beta (+.f64 2 beta)))))
(-.f64 (-.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 2 beta)) (-.f64 (*.f64 beta beta) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 beta (+.f64 2 beta)))) (pow.f64 (cbrt.f64 (*.f64 beta (+.f64 2 beta))) 2) (*.f64 beta (+.f64 2 beta)))))
(-.f64 (/.f64 (pow.f64 (+.f64 2 beta) 4) (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))) (/.f64 (pow.f64 (*.f64 beta (+.f64 2 beta)) 2) (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))))
(-.f64 (/.f64 (pow.f64 (+.f64 2 beta) 4) (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))) (-.f64 (/.f64 (pow.f64 (*.f64 beta (+.f64 2 beta)) 2) (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))) (fma.f64 (+.f64 beta -2) beta (*.f64 beta (+.f64 2 beta)))))
(-.f64 (/.f64 (pow.f64 (+.f64 2 beta) 4) (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))) (-.f64 (/.f64 (pow.f64 (*.f64 beta (+.f64 2 beta)) 2) (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))) (fma.f64 beta (+.f64 2 beta) (*.f64 beta (+.f64 2 beta)))))
(-.f64 (/.f64 (pow.f64 (+.f64 2 beta) 4) (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))) (-.f64 (/.f64 (pow.f64 (*.f64 beta (+.f64 2 beta)) 2) (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))) (fma.f64 (*.f64 beta (+.f64 2 beta)) 1 (*.f64 beta (+.f64 2 beta)))))
(-.f64 (/.f64 (pow.f64 (+.f64 2 beta) 4) (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))) (-.f64 (/.f64 (pow.f64 (*.f64 beta (+.f64 2 beta)) 2) (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 beta (+.f64 2 beta)))) (sqrt.f64 (*.f64 beta (+.f64 2 beta))) (*.f64 beta (+.f64 2 beta)))))
(-.f64 (/.f64 (pow.f64 (+.f64 2 beta) 4) (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))) (-.f64 (/.f64 (pow.f64 (*.f64 beta (+.f64 2 beta)) 2) (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 beta (+.f64 2 beta)))) (pow.f64 (cbrt.f64 (*.f64 beta (+.f64 2 beta))) 2) (*.f64 beta (+.f64 2 beta)))))
(-.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (exp.f64 (log1p.f64 (*.f64 beta (+.f64 2 beta))))) 1)
(-.f64 (+.f64 (*.f64 beta (+.f64 2 beta)) (exp.f64 (log1p.f64 (pow.f64 (+.f64 2 beta) 2)))) 1)
(*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))
(*.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) 1)
(*.f64 1 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))))
(*.f64 (hypot.f64 (+.f64 2 beta) (sqrt.f64 (*.f64 beta (+.f64 2 beta)))) (hypot.f64 (+.f64 2 beta) (sqrt.f64 (*.f64 beta (+.f64 2 beta)))))
(*.f64 (cbrt.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))) 2) (cbrt.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))))
(*.f64 (pow.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) 2) (/.f64 1 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))))
(*.f64 (+.f64 (pow.f64 (+.f64 2 beta) 6) (pow.f64 (*.f64 beta (+.f64 2 beta)) 3)) (/.f64 1 (-.f64 (pow.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) 2) (*.f64 (pow.f64 (+.f64 2 beta) 3) beta))))
(*.f64 (+.f64 (+.f64 2 beta) (sqrt.f64 (*.f64 beta (+.f64 2 beta)))) (-.f64 (+.f64 2 beta) (sqrt.f64 (*.f64 beta (+.f64 2 beta)))))
(/.f64 1 (/.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) 2)))
(/.f64 1 (/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) 2) (*.f64 (pow.f64 (+.f64 2 beta) 3) beta)) (+.f64 (pow.f64 (+.f64 2 beta) 6) (pow.f64 (*.f64 beta (+.f64 2 beta)) 3))))
(/.f64 (pow.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) 2) (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))))
(/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 6) (pow.f64 (*.f64 beta (+.f64 2 beta)) 3)) (-.f64 (pow.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) 2) (*.f64 (pow.f64 (+.f64 2 beta) 3) beta)))
(/.f64 (neg.f64 (pow.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) 2)) (neg.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 2 beta) 6) (pow.f64 (*.f64 beta (+.f64 2 beta)) 3))) (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) 2) (*.f64 (pow.f64 (+.f64 2 beta) 3) beta))))
(/.f64 (-.f64 (pow.f64 (*.f64 beta (+.f64 2 beta)) 2) (pow.f64 (+.f64 2 beta) 4)) (-.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)))
(/.f64 (-.f64 (pow.f64 (+.f64 2 beta) 6) (pow.f64 (*.f64 beta (+.f64 2 beta)) 3)) (+.f64 (pow.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) 2) (*.f64 (pow.f64 (+.f64 2 beta) 3) beta)))
(pow.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) 1)
(pow.f64 (hypot.f64 (+.f64 2 beta) (sqrt.f64 (*.f64 beta (+.f64 2 beta)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) 2))
(log.f64 (exp.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))))
(log.f64 (/.f64 (exp.f64 (pow.f64 (+.f64 2 beta) 2)) (pow.f64 (exp.f64 (+.f64 2 beta)) beta)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) 3))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))))
(exp.f64 (log.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))))
(fma.f64 beta (+.f64 2 beta) (pow.f64 (+.f64 2 beta) 2))
(fma.f64 (+.f64 2 beta) beta (pow.f64 (+.f64 2 beta) 2))
(fma.f64 (+.f64 2 beta) (+.f64 2 beta) (*.f64 beta (+.f64 2 beta)))
(fma.f64 1 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta)))
(fma.f64 1 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2))
(fma.f64 (sqrt.f64 (*.f64 beta (+.f64 2 beta))) (sqrt.f64 (*.f64 beta (+.f64 2 beta))) (pow.f64 (+.f64 2 beta) 2))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 2 beta) 4)) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (*.f64 beta (+.f64 2 beta)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 beta (+.f64 2 beta))) 2) (cbrt.f64 (*.f64 beta (+.f64 2 beta))) (pow.f64 (+.f64 2 beta) 2))
(+.f64 (*.f64 beta beta) (*.f64 2 beta))
(+.f64 (*.f64 2 beta) (*.f64 beta beta))
(+.f64 (*.f64 (*.f64 beta beta) 1) (*.f64 (*.f64 2 beta) 1))
(+.f64 (*.f64 (*.f64 2 beta) 1) (*.f64 (*.f64 beta beta) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 beta (+.f64 2 beta)))) 1)
(/.f64 (*.f64 beta (+.f64 4 (*.f64 beta beta))) (+.f64 2 beta))
(/.f64 (*.f64 beta (+.f64 8 (pow.f64 beta 3))) (+.f64 4 (*.f64 beta (+.f64 beta -2))))
(/.f64 (*.f64 (+.f64 4 (*.f64 beta beta)) beta) (+.f64 2 beta))
(/.f64 (*.f64 (+.f64 8 (pow.f64 beta 3)) beta) (+.f64 4 (*.f64 beta (+.f64 beta -2))))
(/.f64 (-.f64 (*.f64 (*.f64 2 beta) (*.f64 2 beta)) (*.f64 (*.f64 beta beta) (*.f64 beta beta))) (-.f64 (*.f64 2 beta) (*.f64 beta beta)))
(/.f64 (+.f64 (pow.f64 (*.f64 beta beta) 3) (pow.f64 (*.f64 2 beta) 3)) (+.f64 (*.f64 (*.f64 2 beta) (*.f64 2 beta)) (-.f64 (*.f64 (*.f64 beta beta) (*.f64 beta beta)) (*.f64 (*.f64 2 beta) (*.f64 beta beta)))))
(pow.f64 (*.f64 beta (+.f64 2 beta)) 1)
(pow.f64 (sqrt.f64 (*.f64 beta (+.f64 2 beta))) 2)
(pow.f64 (cbrt.f64 (*.f64 beta (+.f64 2 beta))) 3)
(pow.f64 (pow.f64 (*.f64 beta (+.f64 2 beta)) 3) 1/3)
(neg.f64 (*.f64 beta (+.f64 2 beta)))
(sqrt.f64 (pow.f64 (*.f64 beta (+.f64 2 beta)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 2 beta)) beta))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 beta (+.f64 2 beta)))))
(cbrt.f64 (pow.f64 (*.f64 beta (+.f64 2 beta)) 3))
(expm1.f64 (log1p.f64 (*.f64 beta (+.f64 2 beta))))
(exp.f64 (log.f64 (*.f64 beta (+.f64 2 beta))))
(exp.f64 (*.f64 (log.f64 (*.f64 beta (+.f64 2 beta))) 1))
(log1p.f64 (expm1.f64 (*.f64 beta (+.f64 2 beta))))
(fma.f64 2 beta (*.f64 beta beta))
(fma.f64 beta 2 (*.f64 beta beta))
Outputs
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (*.f64 alpha alpha))
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4
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(*.f64 (+.f64 (pow.f64 (+.f64 2 beta) 6) (pow.f64 (*.f64 beta (+.f64 2 beta)) 3)) (/.f64 1 (-.f64 (pow.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) 2) (*.f64 (pow.f64 (+.f64 2 beta) 3) beta))))
(*.f64 (+.f64 (pow.f64 (+.f64 2 beta) 6) (pow.f64 (*.f64 beta (+.f64 2 beta)) 3)) (/.f64 1 (-.f64 (pow.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) 2) (*.f64 beta (pow.f64 (+.f64 2 beta) 3)))))
(/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 6) (pow.f64 (*.f64 beta (+.f64 2 beta)) 3)) (-.f64 (pow.f64 (*.f64 (+.f64 2 beta) (fma.f64 2 beta 2)) 2) (*.f64 beta (pow.f64 (+.f64 2 beta) 3))))
(*.f64 (+.f64 (+.f64 2 beta) (sqrt.f64 (*.f64 beta (+.f64 2 beta)))) (-.f64 (+.f64 2 beta) (sqrt.f64 (*.f64 beta (+.f64 2 beta)))))
(-.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta)))
(*.f64 (+.f64 2 beta) (-.f64 (+.f64 2 beta) beta))
(/.f64 1 (/.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) 2)))
(*.f64 (pow.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) 2) (/.f64 (/.f64 1 (+.f64 2 beta)) (+.f64 2 (+.f64 beta beta))))
(/.f64 (pow.f64 (*.f64 (+.f64 2 beta) (fma.f64 2 beta 2)) 2) (*.f64 (+.f64 2 beta) (fma.f64 2 beta 2)))
(/.f64 1 (/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) 2) (*.f64 (pow.f64 (+.f64 2 beta) 3) beta)) (+.f64 (pow.f64 (+.f64 2 beta) 6) (pow.f64 (*.f64 beta (+.f64 2 beta)) 3))))
(*.f64 (+.f64 (pow.f64 (+.f64 2 beta) 6) (pow.f64 (*.f64 beta (+.f64 2 beta)) 3)) (/.f64 1 (-.f64 (pow.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) 2) (*.f64 beta (pow.f64 (+.f64 2 beta) 3)))))
(/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 6) (pow.f64 (*.f64 beta (+.f64 2 beta)) 3)) (-.f64 (pow.f64 (*.f64 (+.f64 2 beta) (fma.f64 2 beta 2)) 2) (*.f64 beta (pow.f64 (+.f64 2 beta) 3))))
(/.f64 (pow.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) 2) (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))))
(*.f64 (pow.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) 2) (/.f64 (/.f64 1 (+.f64 2 beta)) (+.f64 2 (+.f64 beta beta))))
(/.f64 (pow.f64 (*.f64 (+.f64 2 beta) (fma.f64 2 beta 2)) 2) (*.f64 (+.f64 2 beta) (fma.f64 2 beta 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 6) (pow.f64 (*.f64 beta (+.f64 2 beta)) 3)) (-.f64 (pow.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) 2) (*.f64 (pow.f64 (+.f64 2 beta) 3) beta)))
(*.f64 (+.f64 (pow.f64 (+.f64 2 beta) 6) (pow.f64 (*.f64 beta (+.f64 2 beta)) 3)) (/.f64 1 (-.f64 (pow.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) 2) (*.f64 beta (pow.f64 (+.f64 2 beta) 3)))))
(/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 6) (pow.f64 (*.f64 beta (+.f64 2 beta)) 3)) (-.f64 (pow.f64 (*.f64 (+.f64 2 beta) (fma.f64 2 beta 2)) 2) (*.f64 beta (pow.f64 (+.f64 2 beta) 3))))
(/.f64 (neg.f64 (pow.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) 2)) (neg.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))))
(neg.f64 (/.f64 (pow.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) 2) (*.f64 (+.f64 2 beta) (neg.f64 (+.f64 2 (+.f64 beta beta))))))
(*.f64 1 (/.f64 (pow.f64 (*.f64 (+.f64 2 beta) (fma.f64 2 beta 2)) 2) (*.f64 (+.f64 2 beta) (fma.f64 2 beta 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 2 beta) 6) (pow.f64 (*.f64 beta (+.f64 2 beta)) 3))) (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) 2) (*.f64 (pow.f64 (+.f64 2 beta) 3) beta))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 2 beta) 6) (pow.f64 (*.f64 beta (+.f64 2 beta)) 3))) (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) 2) (*.f64 beta (pow.f64 (+.f64 2 beta) 3)))))
(*.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 6) (pow.f64 (*.f64 beta (+.f64 2 beta)) 3)) (-.f64 (pow.f64 (*.f64 (+.f64 2 beta) (fma.f64 2 beta 2)) 2) (*.f64 beta (pow.f64 (+.f64 2 beta) 3)))))
(/.f64 (-.f64 (pow.f64 (*.f64 beta (+.f64 2 beta)) 2) (pow.f64 (+.f64 2 beta) 4)) (-.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)))
(/.f64 (-.f64 (pow.f64 (*.f64 beta (+.f64 2 beta)) 2) (pow.f64 (+.f64 2 beta) 4)) (*.f64 (+.f64 2 beta) (-.f64 beta (+.f64 2 beta))))
(/.f64 (-.f64 (pow.f64 (+.f64 2 beta) 6) (pow.f64 (*.f64 beta (+.f64 2 beta)) 3)) (+.f64 (pow.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) 2) (*.f64 (pow.f64 (+.f64 2 beta) 3) beta)))
(/.f64 (-.f64 (pow.f64 (+.f64 2 beta) 6) (pow.f64 (*.f64 beta (+.f64 2 beta)) 3)) (+.f64 (pow.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) 2) (*.f64 beta (pow.f64 (+.f64 2 beta) 3))))
(/.f64 (-.f64 (pow.f64 (+.f64 2 beta) 6) (pow.f64 (*.f64 beta (+.f64 2 beta)) 3)) (fma.f64 beta (pow.f64 (+.f64 2 beta) 3) (pow.f64 (*.f64 (+.f64 2 beta) (fma.f64 2 beta 2)) 2)))
(pow.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) 1)
(fma.f64 beta (+.f64 2 beta) (pow.f64 (+.f64 2 beta) 2))
(*.f64 (+.f64 2 beta) (fma.f64 2 beta 2))
(pow.f64 (hypot.f64 (+.f64 2 beta) (sqrt.f64 (*.f64 beta (+.f64 2 beta)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))) 3)
(fma.f64 beta (+.f64 2 beta) (pow.f64 (+.f64 2 beta) 2))
(*.f64 (+.f64 2 beta) (fma.f64 2 beta 2))
(pow.f64 (pow.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) 3) 1/3)
(fma.f64 beta (+.f64 2 beta) (pow.f64 (+.f64 2 beta) 2))
(*.f64 (+.f64 2 beta) (fma.f64 2 beta 2))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) 2))
(fabs.f64 (*.f64 (+.f64 2 beta) (fma.f64 2 beta 2)))
(log.f64 (exp.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))))
(fma.f64 beta (+.f64 2 beta) (pow.f64 (+.f64 2 beta) 2))
(*.f64 (+.f64 2 beta) (fma.f64 2 beta 2))
(log.f64 (/.f64 (exp.f64 (pow.f64 (+.f64 2 beta) 2)) (pow.f64 (exp.f64 (+.f64 2 beta)) beta)))
(-.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta)))
(*.f64 (+.f64 2 beta) (-.f64 (+.f64 2 beta) beta))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))))))
(fma.f64 beta (+.f64 2 beta) (pow.f64 (+.f64 2 beta) 2))
(*.f64 (+.f64 2 beta) (fma.f64 2 beta 2))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) 3))
(fma.f64 beta (+.f64 2 beta) (pow.f64 (+.f64 2 beta) 2))
(*.f64 (+.f64 2 beta) (fma.f64 2 beta 2))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))))
(fma.f64 beta (+.f64 2 beta) (pow.f64 (+.f64 2 beta) 2))
(*.f64 (+.f64 2 beta) (fma.f64 2 beta 2))
(exp.f64 (log.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))))
(fma.f64 beta (+.f64 2 beta) (pow.f64 (+.f64 2 beta) 2))
(*.f64 (+.f64 2 beta) (fma.f64 2 beta 2))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))) 1))
(fma.f64 beta (+.f64 2 beta) (pow.f64 (+.f64 2 beta) 2))
(*.f64 (+.f64 2 beta) (fma.f64 2 beta 2))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))))
(fma.f64 beta (+.f64 2 beta) (pow.f64 (+.f64 2 beta) 2))
(*.f64 (+.f64 2 beta) (fma.f64 2 beta 2))
(fma.f64 beta (+.f64 2 beta) (pow.f64 (+.f64 2 beta) 2))
(*.f64 (+.f64 2 beta) (fma.f64 2 beta 2))
(fma.f64 (+.f64 2 beta) beta (pow.f64 (+.f64 2 beta) 2))
(fma.f64 beta (+.f64 2 beta) (pow.f64 (+.f64 2 beta) 2))
(*.f64 (+.f64 2 beta) (fma.f64 2 beta 2))
(fma.f64 (+.f64 2 beta) (+.f64 2 beta) (*.f64 beta (+.f64 2 beta)))
(fma.f64 beta (+.f64 2 beta) (pow.f64 (+.f64 2 beta) 2))
(*.f64 (+.f64 2 beta) (fma.f64 2 beta 2))
(fma.f64 1 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta)))
(fma.f64 beta (+.f64 2 beta) (pow.f64 (+.f64 2 beta) 2))
(*.f64 (+.f64 2 beta) (fma.f64 2 beta 2))
(fma.f64 1 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2))
(fma.f64 beta (+.f64 2 beta) (pow.f64 (+.f64 2 beta) 2))
(*.f64 (+.f64 2 beta) (fma.f64 2 beta 2))
(fma.f64 (sqrt.f64 (*.f64 beta (+.f64 2 beta))) (sqrt.f64 (*.f64 beta (+.f64 2 beta))) (pow.f64 (+.f64 2 beta) 2))
(fma.f64 beta (+.f64 2 beta) (pow.f64 (+.f64 2 beta) 2))
(*.f64 (+.f64 2 beta) (fma.f64 2 beta 2))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 2 beta) 4)) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (*.f64 beta (+.f64 2 beta)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 beta (+.f64 2 beta))) 2) (cbrt.f64 (*.f64 beta (+.f64 2 beta))) (pow.f64 (+.f64 2 beta) 2))
(fma.f64 beta (+.f64 2 beta) (pow.f64 (+.f64 2 beta) 2))
(*.f64 (+.f64 2 beta) (fma.f64 2 beta 2))
(+.f64 (*.f64 beta beta) (*.f64 2 beta))
(*.f64 beta (+.f64 2 beta))
(+.f64 (*.f64 2 beta) (*.f64 beta beta))
(*.f64 beta (+.f64 2 beta))
(+.f64 (*.f64 (*.f64 beta beta) 1) (*.f64 (*.f64 2 beta) 1))
(*.f64 beta (+.f64 2 beta))
(+.f64 (*.f64 (*.f64 2 beta) 1) (*.f64 (*.f64 beta beta) 1))
(*.f64 beta (+.f64 2 beta))
(-.f64 (exp.f64 (log1p.f64 (*.f64 beta (+.f64 2 beta)))) 1)
(*.f64 beta (+.f64 2 beta))
(/.f64 (*.f64 beta (+.f64 4 (*.f64 beta beta))) (+.f64 2 beta))
(/.f64 beta (/.f64 (+.f64 2 beta) (+.f64 4 (*.f64 beta beta))))
(*.f64 (/.f64 (fma.f64 beta beta 4) (+.f64 2 beta)) beta)
(/.f64 (*.f64 beta (+.f64 8 (pow.f64 beta 3))) (+.f64 4 (*.f64 beta (+.f64 beta -2))))
(/.f64 beta (/.f64 (+.f64 4 (*.f64 beta (+.f64 beta -2))) (+.f64 8 (pow.f64 beta 3))))
(/.f64 (fma.f64 beta 8 (pow.f64 beta 4)) (fma.f64 beta (+.f64 beta -2) 4))
(/.f64 (*.f64 (+.f64 4 (*.f64 beta beta)) beta) (+.f64 2 beta))
(/.f64 beta (/.f64 (+.f64 2 beta) (+.f64 4 (*.f64 beta beta))))
(*.f64 (/.f64 (fma.f64 beta beta 4) (+.f64 2 beta)) beta)
(/.f64 (*.f64 (+.f64 8 (pow.f64 beta 3)) beta) (+.f64 4 (*.f64 beta (+.f64 beta -2))))
(/.f64 beta (/.f64 (+.f64 4 (*.f64 beta (+.f64 beta -2))) (+.f64 8 (pow.f64 beta 3))))
(/.f64 (fma.f64 beta 8 (pow.f64 beta 4)) (fma.f64 beta (+.f64 beta -2) 4))
(/.f64 (-.f64 (*.f64 (*.f64 2 beta) (*.f64 2 beta)) (*.f64 (*.f64 beta beta) (*.f64 beta beta))) (-.f64 (*.f64 2 beta) (*.f64 beta beta)))
(/.f64 (-.f64 (*.f64 4 (*.f64 beta beta)) (*.f64 beta (pow.f64 beta 3))) (*.f64 beta (-.f64 2 beta)))
(/.f64 (-.f64 (*.f64 4 (*.f64 beta beta)) (pow.f64 beta 4)) (*.f64 beta (-.f64 2 beta)))
(/.f64 (+.f64 (pow.f64 (*.f64 beta beta) 3) (pow.f64 (*.f64 2 beta) 3)) (+.f64 (*.f64 (*.f64 2 beta) (*.f64 2 beta)) (-.f64 (*.f64 (*.f64 beta beta) (*.f64 beta beta)) (*.f64 (*.f64 2 beta) (*.f64 beta beta)))))
(/.f64 (+.f64 (pow.f64 (*.f64 beta beta) 3) (*.f64 8 (pow.f64 beta 3))) (+.f64 (*.f64 4 (*.f64 beta beta)) (-.f64 (*.f64 beta (pow.f64 beta 3)) (*.f64 2 (pow.f64 beta 3)))))
(/.f64 (fma.f64 8 (pow.f64 beta 3) (pow.f64 beta 6)) (fma.f64 4 (*.f64 beta beta) (*.f64 (pow.f64 beta 3) (-.f64 beta 2))))
(pow.f64 (*.f64 beta (+.f64 2 beta)) 1)
(*.f64 beta (+.f64 2 beta))
(pow.f64 (sqrt.f64 (*.f64 beta (+.f64 2 beta))) 2)
(*.f64 beta (+.f64 2 beta))
(pow.f64 (cbrt.f64 (*.f64 beta (+.f64 2 beta))) 3)
(*.f64 beta (+.f64 2 beta))
(pow.f64 (pow.f64 (*.f64 beta (+.f64 2 beta)) 3) 1/3)
(*.f64 beta (+.f64 2 beta))
(neg.f64 (*.f64 beta (+.f64 2 beta)))
(*.f64 beta (neg.f64 (+.f64 2 beta)))
(*.f64 (+.f64 2 beta) (neg.f64 beta))
(sqrt.f64 (pow.f64 (*.f64 beta (+.f64 2 beta)) 2))
(fabs.f64 (*.f64 beta (+.f64 2 beta)))
(log.f64 (pow.f64 (exp.f64 (+.f64 2 beta)) beta))
(*.f64 beta (+.f64 2 beta))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 beta (+.f64 2 beta)))))
(*.f64 beta (+.f64 2 beta))
(cbrt.f64 (pow.f64 (*.f64 beta (+.f64 2 beta)) 3))
(*.f64 beta (+.f64 2 beta))
(expm1.f64 (log1p.f64 (*.f64 beta (+.f64 2 beta))))
(*.f64 beta (+.f64 2 beta))
(exp.f64 (log.f64 (*.f64 beta (+.f64 2 beta))))
(*.f64 beta (+.f64 2 beta))
(exp.f64 (*.f64 (log.f64 (*.f64 beta (+.f64 2 beta))) 1))
(*.f64 beta (+.f64 2 beta))
(log1p.f64 (expm1.f64 (*.f64 beta (+.f64 2 beta))))
(*.f64 beta (+.f64 2 beta))
(fma.f64 2 beta (*.f64 beta beta))
(*.f64 beta (+.f64 2 beta))
(fma.f64 beta 2 (*.f64 beta beta))
(*.f64 beta (+.f64 2 beta))

eval1.6s (11.5%)

Compiler

Compiled 86125 to 56565 computations (34.3% saved)

prune713.0ms (5.3%)

Pruning

19 alts after pruning (15 fresh and 4 done)

PrunedKeptTotal
New175491763
Fresh4610
Picked101
Done145
Total1760191779
Error
0.02%
Counts
1779 → 19
Alt Table
Click to see full alt table
StatusErrorProgram
28.76%
(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) 2)
67.79%
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
28.45%
(/.f64 (/.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (-.f64 beta alpha)) (*.f64 (/.f64 1 (+.f64 2 (+.f64 beta alpha))) (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))))))) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 2)
72.51%
(/.f64 (/.f64 2 alpha) 2)
74.01%
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
28.51%
(/.f64 (-.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) 2)
50.17%
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
52.32%
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
72.59%
(/.f64 (+.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)))))) 2)
28.4%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
29.76%
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
73.64%
(/.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) 2)
43.52%
(/.f64 (+.f64 (*.f64 (*.f64 (/.f64 1 (+.f64 (+.f64 alpha 2) beta)) (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (/.f64 1 (+.f64 alpha beta))) 1) 2)
73.87%
(/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) 2)
84.65%
(/.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (/.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) alpha) alpha) (*.f64 alpha (+.f64 beta (+.f64 beta -2)))) (*.f64 alpha alpha))) 2)
68.94%
(/.f64 (*.f64 -1 (-.f64 (fma.f64 beta (-.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha)) (/.f64 4 (*.f64 alpha alpha))) (/.f64 2 alpha))) 2)
68.34%
(/.f64 (*.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (*.f64 2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))))) 2)
65.66%
(/.f64 2 2)
50.35%
(/.f64 1 2)
Compiler

Compiled 748 to 548 computations (26.7% saved)

localize138.0ms (1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.13%
(/.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (-.f64 beta alpha)) (*.f64 (/.f64 1 (+.f64 2 (+.f64 beta alpha))) (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))))))
0.33%
(/.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (-.f64 beta alpha)) (*.f64 (/.f64 1 (+.f64 2 (+.f64 beta alpha))) (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))))
2.13%
(-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
6.5%
(+.f64 1 (/.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (-.f64 beta alpha)) (*.f64 (/.f64 1 (+.f64 2 (+.f64 beta alpha))) (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))))))
Compiler

Compiled 328 to 160 computations (51.2% saved)

series24.0ms (0.2%)

Counts
3 → 72
Calls

18 calls:

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

rewrite117.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
408×associate-+l+
400×add-sqr-sqrt
390×pow1
390×*-un-lft-identity
384×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
016249
1388117
26411117
Stop Event
node limit
Counts
3 → 141
Calls
Call 1
Inputs
(+.f64 1 (/.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (-.f64 beta alpha)) (*.f64 (/.f64 1 (+.f64 2 (+.f64 beta alpha))) (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))))))
(/.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (-.f64 beta alpha)) (*.f64 (/.f64 1 (+.f64 2 (+.f64 beta alpha))) (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))))
(/.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (-.f64 beta alpha)) (*.f64 (/.f64 1 (+.f64 2 (+.f64 beta alpha))) (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))))))
Outputs
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simplify291.0ms (2.2%)

Algorithm
egg-herbie
Rules
1422×+-commutative
1182×associate-+r+
1014×associate-*r*
982×*-commutative
930×associate-+l+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
092028463
1321326561
Stop Event
node limit
Counts
213 → 444
Calls
Call 1
Inputs
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 3))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 3))) (*.f64 beta (-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 3)) (*.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 3)))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 alpha 3)) (pow.f64 (+.f64 2 alpha) 6)))))))
(+.f64 1 (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (+.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (*.f64 -2 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 6 (+.f64 alpha (*.f64 2 alpha))) (pow.f64 alpha 3)) (pow.f64 (+.f64 2 alpha) 6))) (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 3)) (*.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 3)))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 alpha 3)) (pow.f64 (+.f64 2 alpha) 6)))) (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 (+.f64 2 alpha) 3))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 3))) (*.f64 beta (-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 3)) (*.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 3)))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 alpha 3)) (pow.f64 (+.f64 2 alpha) 6))))))))
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2
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2
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(/.f64 (-.f64 (+.f64 beta (*.f64 2 beta)) (*.f64 -1 (+.f64 beta (+.f64 6 (*.f64 2 beta))))) alpha)
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(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta (*.f64 2 beta))) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 2))) alpha))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 beta 2) (*.f64 2 (pow.f64 beta 2))) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta (*.f64 2 beta))) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 2))) alpha))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta (+.f64 2 (*.f64 2 (+.f64 beta 2)))) (-.f64 (*.f64 -1 (+.f64 beta (*.f64 2 beta))) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 2)))) (pow.f64 alpha 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 beta 2) (*.f64 2 (pow.f64 beta 2))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (pow.f64 beta 3)) (+.f64 (*.f64 -1 (*.f64 (+.f64 beta (+.f64 2 (*.f64 2 (+.f64 beta 2)))) (-.f64 (*.f64 -1 (+.f64 (pow.f64 beta 2) (*.f64 2 (pow.f64 beta 2)))) (+.f64 (*.f64 -2 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 beta (+.f64 2 (*.f64 2 (+.f64 beta 2)))) (-.f64 (*.f64 -1 (+.f64 beta (*.f64 2 beta))) (+.f64 beta (+.f64 2 (*.f64 2 (+.f64 beta 2))))))) (*.f64 -1 (pow.f64 (+.f64 beta 2) 2))))))) (+.f64 (pow.f64 (+.f64 beta 2) 3) (*.f64 -1 (*.f64 (+.f64 (*.f64 -2 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (pow.f64 (+.f64 beta 2) 2))) (-.f64 (*.f64 -1 (+.f64 beta (*.f64 2 beta))) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 2)))))))) (pow.f64 alpha 3))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta (*.f64 2 beta))) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 2))) alpha)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta (+.f64 2 (*.f64 2 (+.f64 beta 2)))) (-.f64 (*.f64 -1 (+.f64 beta (*.f64 2 beta))) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 2)))) (pow.f64 alpha 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 beta 2) (*.f64 2 (pow.f64 beta 2))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -2 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (pow.f64 (+.f64 beta 2) 2))) (-.f64 (*.f64 -1 (+.f64 (pow.f64 beta 2) (*.f64 2 (pow.f64 beta 2)))) (+.f64 (*.f64 -2 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 beta (+.f64 2 (*.f64 2 (+.f64 beta 2)))) (-.f64 (*.f64 -1 (+.f64 beta (*.f64 2 beta))) (+.f64 beta (+.f64 2 (*.f64 2 (+.f64 beta 2))))))) (*.f64 -1 (pow.f64 (+.f64 beta 2) 2))))))) (+.f64 (*.f64 -1 (*.f64 (+.f64 beta (+.f64 2 (*.f64 2 (+.f64 beta 2)))) (-.f64 (*.f64 -1 (pow.f64 beta 3)) (+.f64 (*.f64 -1 (*.f64 (+.f64 beta (+.f64 2 (*.f64 2 (+.f64 beta 2)))) (-.f64 (*.f64 -1 (+.f64 (pow.f64 beta 2) (*.f64 2 (pow.f64 beta 2)))) (+.f64 (*.f64 -2 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (*.f64 (+.f64 beta (+.f64 2 (*.f64 2 (+.f64 beta 2)))) (-.f64 (*.f64 -1 (+.f64 beta (*.f64 2 beta))) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 2)))))))))) (+.f64 (pow.f64 (+.f64 beta 2) 3) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (+.f64 beta (*.f64 2 beta))) (+.f64 beta (+.f64 2 (*.f64 2 (+.f64 beta 2))))) (+.f64 (*.f64 -2 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)))))))))) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (+.f64 beta (*.f64 2 beta))) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 2))) (pow.f64 (+.f64 beta 2) 3))))) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (pow.f64 beta 3)) (+.f64 (*.f64 -1 (*.f64 (+.f64 beta (+.f64 2 (*.f64 2 (+.f64 beta 2)))) (-.f64 (*.f64 -1 (+.f64 (pow.f64 beta 2) (*.f64 2 (pow.f64 beta 2)))) (+.f64 (*.f64 -2 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 beta (+.f64 2 (*.f64 2 (+.f64 beta 2)))) (-.f64 (*.f64 -1 (+.f64 beta (*.f64 2 beta))) (+.f64 beta (+.f64 2 (*.f64 2 (+.f64 beta 2))))))) (*.f64 -1 (pow.f64 (+.f64 beta 2) 2))))))) (+.f64 (pow.f64 (+.f64 beta 2) 3) (*.f64 -1 (*.f64 (+.f64 (*.f64 -2 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (pow.f64 (+.f64 beta 2) 2))) (-.f64 (*.f64 -1 (+.f64 beta (*.f64 2 beta))) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 2)))))))) (pow.f64 alpha 3))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta (*.f64 2 beta))) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 2))) alpha))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta (+.f64 2 (*.f64 2 (+.f64 beta 2)))) (-.f64 (*.f64 -1 (+.f64 beta (*.f64 2 beta))) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 2)))) (pow.f64 alpha 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))))
(/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 alpha 2))
(+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (/.f64 (*.f64 (+.f64 2 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 alpha 2))) (*.f64 -2 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 alpha 3))))) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 alpha 2)))
(+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (/.f64 (*.f64 (+.f64 2 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 alpha 2))) (*.f64 -2 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 alpha 3))))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 3 (/.f64 1 alpha))) (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 alpha 4)) (*.f64 -2 (/.f64 (-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (/.f64 (*.f64 (+.f64 2 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 alpha 2))) (*.f64 -2 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 alpha 3)))) alpha))))) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 alpha 2))))
(+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (/.f64 (*.f64 (+.f64 2 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 alpha 2))) (*.f64 -2 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 alpha 3))))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 alpha 2)) (*.f64 -2 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 alpha 5)))) (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 alpha 4)) (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 4)) (*.f64 -2 (/.f64 (-.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 3 (/.f64 1 alpha))) (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 alpha 4)) (*.f64 -2 (/.f64 (-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (/.f64 (*.f64 (+.f64 2 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 alpha 2))) (*.f64 -2 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 alpha 3)))) alpha)))) alpha))))) (pow.f64 beta 3)) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 3 (/.f64 1 alpha))) (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 alpha 4)) (*.f64 -2 (/.f64 (-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (/.f64 (*.f64 (+.f64 2 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 alpha 2))) (*.f64 -2 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 alpha 3)))) alpha))))) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 alpha 2)))))
beta
(-.f64 (+.f64 beta (+.f64 6 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 -2 alpha))
(-.f64 (+.f64 beta (+.f64 6 (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) (+.f64 4 (*.f64 2 alpha))) beta) (+.f64 alpha (+.f64 (*.f64 2 alpha) (/.f64 (pow.f64 (+.f64 2 alpha) 2) beta)))))) (+.f64 (*.f64 -2 alpha) (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 (+.f64 6 (+.f64 alpha (*.f64 2 alpha))) (*.f64 -2 alpha)) alpha) beta)) (/.f64 (pow.f64 alpha 2) beta))))
(-.f64 (+.f64 beta (+.f64 6 (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 2)) (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) (+.f64 4 (*.f64 2 alpha))) beta) (+.f64 alpha (+.f64 (*.f64 2 alpha) (/.f64 (pow.f64 (+.f64 2 alpha) 2) beta))))))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (*.f64 -2 (*.f64 (-.f64 (+.f64 6 (+.f64 alpha (*.f64 2 alpha))) (*.f64 -2 alpha)) alpha)) (pow.f64 alpha 2))) alpha) (pow.f64 beta 2))) (+.f64 (*.f64 -2 alpha) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 6 (+.f64 alpha (*.f64 2 alpha))) (*.f64 -2 alpha)) (pow.f64 alpha 2)) (pow.f64 beta 2)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 (+.f64 6 (+.f64 alpha (*.f64 2 alpha))) (*.f64 -2 alpha)) alpha) beta)) (/.f64 (pow.f64 alpha 2) beta))))))
beta
(-.f64 (+.f64 beta (+.f64 2 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))) (*.f64 -2 alpha))
(-.f64 (+.f64 beta (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -2 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (*.f64 2 (*.f64 (-.f64 (+.f64 2 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (*.f64 -2 alpha)) alpha)) (*.f64 -1 (pow.f64 alpha 2)))) beta)) (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)))) (*.f64 -2 alpha))
(-.f64 (+.f64 beta (+.f64 2 (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -2 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (*.f64 2 (*.f64 (-.f64 (+.f64 2 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (*.f64 -2 alpha)) alpha)) (*.f64 -1 (pow.f64 alpha 2)))) beta)) (+.f64 alpha (*.f64 2 (+.f64 2 alpha))))))) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 2 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (*.f64 -2 alpha)) (pow.f64 alpha 2)) (pow.f64 beta 2)) (+.f64 (*.f64 -2 alpha) (*.f64 2 (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 -2 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (*.f64 2 (*.f64 (-.f64 (+.f64 2 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (*.f64 -2 alpha)) alpha)) (*.f64 -1 (pow.f64 alpha 2)))) alpha) (pow.f64 beta 2))))))
(/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 beta 2))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 beta 2)) (*.f64 (-.f64 (+.f64 (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 beta 2))) (*.f64 -2 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 beta 3)))) alpha))
(+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 beta) (+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 6 (/.f64 1 (pow.f64 beta 2))))) (+.f64 (*.f64 -2 (/.f64 (-.f64 (+.f64 (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 beta 2))) (*.f64 -2 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 beta 3)))) beta)) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 beta 4)))) (pow.f64 alpha 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 beta 2)) (*.f64 (-.f64 (+.f64 (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 beta 2))) (*.f64 -2 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 beta 3)))) alpha)))
(+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 beta) (+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 6 (/.f64 1 (pow.f64 beta 2))))) (+.f64 (*.f64 -2 (/.f64 (-.f64 (+.f64 (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 beta 2))) (*.f64 -2 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 beta 3)))) beta)) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 beta 4)))) (pow.f64 alpha 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 beta 2)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 beta 2))) (*.f64 -2 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 beta 3)))) alpha) (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 -2 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 beta 5)))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 beta 4)) (+.f64 (*.f64 -2 (/.f64 (-.f64 (+.f64 (/.f64 1 beta) (+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 6 (/.f64 1 (pow.f64 beta 2))))) (+.f64 (*.f64 -2 (/.f64 (-.f64 (+.f64 (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 beta 2))) (*.f64 -2 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 beta 3)))) beta)) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 beta 4)))) beta)) (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 beta 4))))) (pow.f64 alpha 3)))))
alpha
(-.f64 (+.f64 beta (+.f64 6 (+.f64 alpha (*.f64 2 beta)))) (*.f64 -2 beta))
(-.f64 (+.f64 beta (+.f64 6 (+.f64 (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2)) alpha) (+.f64 alpha (+.f64 (*.f64 2 beta) (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha)))))) (+.f64 (*.f64 -2 beta) (+.f64 (*.f64 -2 (/.f64 (*.f64 beta (-.f64 (+.f64 beta (+.f64 6 (*.f64 2 beta))) (*.f64 -2 beta))) alpha)) (/.f64 (pow.f64 beta 2) alpha))))
(-.f64 (+.f64 beta (+.f64 6 (+.f64 (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2)) alpha) (+.f64 alpha (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 2)) (+.f64 (*.f64 2 beta) (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha))))))) (+.f64 (*.f64 -2 beta) (+.f64 (*.f64 -2 (/.f64 (*.f64 beta (-.f64 (+.f64 beta (+.f64 6 (*.f64 2 beta))) (*.f64 -2 beta))) alpha)) (+.f64 (/.f64 (pow.f64 beta 2) alpha) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) (-.f64 (+.f64 beta (+.f64 6 (*.f64 2 beta))) (*.f64 -2 beta))) (pow.f64 alpha 2)) (*.f64 -2 (/.f64 (*.f64 beta (-.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2))) (+.f64 (*.f64 -2 (*.f64 beta (-.f64 (+.f64 beta (+.f64 6 (*.f64 2 beta))) (*.f64 -2 beta)))) (pow.f64 beta 2)))) (pow.f64 alpha 2))))))))
alpha
(-.f64 (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) (+.f64 2 alpha))) (*.f64 -2 beta))
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1
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1
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-1
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-1
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(+.f64 (neg.f64 (*.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) (*.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))
(-.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) 1)
(-.f64 (*.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (*.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))
(-.f64 (*.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (+.f64 (-.f64 (*.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 1) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)))) 2)
(-.f64 (+.f64 1 (*.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) (+.f64 (*.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 1))
(-.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))) (+.f64 (/.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 2) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))) 1))
(*.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))
(*.f64 (-.f64 beta alpha) (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))
(*.f64 (/.f64 (-.f64 beta alpha) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))))
(*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 1)
(*.f64 (sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)))
(*.f64 (sqrt.f64 (-.f64 beta alpha)) (*.f64 (sqrt.f64 (-.f64 beta alpha)) (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (*.f64 (cbrt.f64 (-.f64 beta alpha)) (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))))
(*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) (/.f64 (-.f64 beta alpha) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))
(*.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (-.f64 beta alpha))
(*.f64 (neg.f64 (-.f64 beta alpha)) (/.f64 1 (/.f64 (-.f64 -2 (+.f64 beta alpha)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))))
(*.f64 (*.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) 1) (/.f64 (-.f64 beta alpha) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))
(*.f64 (*.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (*.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2)))) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (*.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) 2)) (cbrt.f64 (/.f64 (-.f64 beta alpha) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))
(*.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) 1) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 beta alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (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 (/.f64 (-.f64 beta alpha) 1) (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (/.f64 (-.f64 beta alpha) (/.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) 2))) 2)) (/.f64 (-.f64 beta alpha) (cbrt.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) 2)))))
(*.f64 (/.f64 (-.f64 beta alpha) (/.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 beta alpha))) (/.f64 (neg.f64 (-.f64 beta alpha)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) 1) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) 2))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (*.f64 (/.f64 1 (-.f64 beta alpha)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) 2))) 2)) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (cbrt.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) 1) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (*.f64 (/.f64 1 (-.f64 beta alpha)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (/.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (/.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) 2))) 2)) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
(pow.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)
(pow.f64 (sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) 2)
(pow.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) 3) -1)
(pow.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 3) 1/3)
(neg.f64 (/.f64 (-.f64 beta alpha) (/.f64 (-.f64 -2 (+.f64 beta alpha)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))))
(sqrt.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 2))
(log.f64 (exp.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)))
(exp.f64 (log.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)))
Outputs
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 3))))
(+.f64 1 (neg.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 alpha 2) 3))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 3))) (*.f64 beta (-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 3)) (*.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 3)))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 alpha 3)) (pow.f64 (+.f64 2 alpha) 6)))))))
(+.f64 1 (fma.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 alpha 2) 3)) (*.f64 beta (-.f64 (*.f64 3 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 3))) (neg.f64 (/.f64 (fma.f64 (+.f64 alpha 2) (*.f64 2 (+.f64 alpha 2)) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (pow.f64 (+.f64 alpha 2) 6) (pow.f64 alpha 3))))))))
(+.f64 1 (fma.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 alpha 2) 3)) (*.f64 beta (-.f64 (*.f64 3 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 3))) (neg.f64 (/.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (pow.f64 (+.f64 alpha 2) 6) (pow.f64 alpha 3))))))))
(+.f64 1 (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (+.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (*.f64 -2 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 6 (+.f64 alpha (*.f64 2 alpha))) (pow.f64 alpha 3)) (pow.f64 (+.f64 2 alpha) 6))) (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 3)) (*.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 3)))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 alpha 3)) (pow.f64 (+.f64 2 alpha) 6)))) (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 (+.f64 2 alpha) 3))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 3))) (*.f64 beta (-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 3)) (*.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 3)))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 alpha 3)) (pow.f64 (+.f64 2 alpha) 6))))))))
(+.f64 1 (fma.f64 (*.f64 beta beta) (-.f64 (*.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) -3) (fma.f64 -1 (/.f64 (+.f64 6 (*.f64 3 alpha)) (/.f64 (pow.f64 (+.f64 alpha 2) 6) (pow.f64 alpha 3))) (/.f64 (-.f64 (*.f64 3 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 3))) (neg.f64 (/.f64 (fma.f64 (+.f64 alpha 2) (*.f64 2 (+.f64 alpha 2)) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (pow.f64 (+.f64 alpha 2) 6) (pow.f64 alpha 3))))) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (fma.f64 (+.f64 alpha 2) (*.f64 2 (+.f64 alpha 2)) (pow.f64 (+.f64 alpha 2) 2)))))) (fma.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 alpha 2) 3)) (*.f64 beta (-.f64 (*.f64 3 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 3))) (neg.f64 (/.f64 (fma.f64 (+.f64 alpha 2) (*.f64 2 (+.f64 alpha 2)) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (pow.f64 (+.f64 alpha 2) 6) (pow.f64 alpha 3)))))))))
(+.f64 1 (fma.f64 (*.f64 beta beta) (-.f64 (*.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) -3) (fma.f64 -1 (/.f64 (+.f64 6 (*.f64 alpha 3)) (/.f64 (pow.f64 (+.f64 alpha 2) 6) (pow.f64 alpha 3))) (/.f64 (-.f64 (*.f64 3 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 3))) (neg.f64 (/.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (pow.f64 (+.f64 alpha 2) 6) (pow.f64 alpha 3))))) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (+.f64 (*.f64 2 (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 (+.f64 alpha 2) 2)))))) (fma.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 alpha 2) 3)) (*.f64 beta (-.f64 (*.f64 3 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 3))) (neg.f64 (/.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (pow.f64 (+.f64 alpha 2) 6) (pow.f64 alpha 3)))))))))
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2
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(/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 alpha 2))
(/.f64 (pow.f64 (+.f64 alpha 2) 3) (*.f64 alpha alpha))
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beta
(-.f64 (+.f64 beta (+.f64 6 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 -2 alpha))
(+.f64 beta (+.f64 (+.f64 6 (*.f64 3 alpha)) (*.f64 alpha 2)))
(+.f64 (+.f64 6 (*.f64 alpha 3)) (+.f64 beta (*.f64 alpha 2)))
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(-.f64 (+.f64 beta (+.f64 6 (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 2)) (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) (+.f64 4 (*.f64 2 alpha))) beta) (+.f64 alpha (+.f64 (*.f64 2 alpha) (/.f64 (pow.f64 (+.f64 2 alpha) 2) beta))))))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (*.f64 -2 (*.f64 (-.f64 (+.f64 6 (+.f64 alpha (*.f64 2 alpha))) (*.f64 -2 alpha)) alpha)) (pow.f64 alpha 2))) alpha) (pow.f64 beta 2))) (+.f64 (*.f64 -2 alpha) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 6 (+.f64 alpha (*.f64 2 alpha))) (*.f64 -2 alpha)) (pow.f64 alpha 2)) (pow.f64 beta 2)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 (+.f64 6 (+.f64 alpha (*.f64 2 alpha))) (*.f64 -2 alpha)) alpha) beta)) (/.f64 (pow.f64 alpha 2) beta))))))
(+.f64 beta (-.f64 (+.f64 6 (+.f64 (+.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 3) (*.f64 beta beta)) (/.f64 (+.f64 alpha 2) (/.f64 beta (*.f64 2 (+.f64 alpha 2))))) (+.f64 (*.f64 3 alpha) (/.f64 (pow.f64 (+.f64 alpha 2) 2) beta)))) (fma.f64 -2 (/.f64 (-.f64 (fma.f64 (+.f64 alpha 2) (*.f64 2 (+.f64 alpha 2)) (pow.f64 (+.f64 alpha 2) 2)) (fma.f64 -2 (*.f64 alpha (+.f64 (+.f64 6 (*.f64 3 alpha)) (*.f64 alpha 2))) (*.f64 alpha alpha))) (/.f64 (*.f64 beta beta) alpha)) (fma.f64 -2 alpha (+.f64 (fma.f64 -2 (/.f64 (+.f64 (+.f64 6 (*.f64 3 alpha)) (*.f64 alpha 2)) (/.f64 beta alpha)) (/.f64 (*.f64 alpha alpha) beta)) (/.f64 (+.f64 (+.f64 6 (*.f64 3 alpha)) (*.f64 alpha 2)) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))))))))
(+.f64 beta (+.f64 6 (-.f64 (+.f64 (/.f64 (*.f64 2 (pow.f64 (+.f64 alpha 2) 2)) beta) (+.f64 (+.f64 (*.f64 alpha 3) (/.f64 (pow.f64 (+.f64 alpha 2) 2) beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (*.f64 beta beta)))) (fma.f64 -2 (/.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 2) (-.f64 (*.f64 2 (pow.f64 (+.f64 alpha 2) 2)) (fma.f64 -2 (*.f64 alpha (+.f64 (*.f64 alpha 2) (+.f64 6 (*.f64 alpha 3)))) (*.f64 alpha alpha)))) (/.f64 (*.f64 beta beta) alpha)) (+.f64 (fma.f64 -2 alpha (fma.f64 -2 (/.f64 (+.f64 (*.f64 alpha 2) (+.f64 6 (*.f64 alpha 3))) (/.f64 beta alpha)) (/.f64 (*.f64 alpha alpha) beta))) (/.f64 (+.f64 (*.f64 alpha 2) (+.f64 6 (*.f64 alpha 3))) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))))))))
beta
(-.f64 (+.f64 beta (+.f64 2 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))) (*.f64 -2 alpha))
(+.f64 beta (+.f64 (+.f64 6 (*.f64 3 alpha)) (*.f64 alpha 2)))
(+.f64 (+.f64 6 (*.f64 alpha 3)) (+.f64 beta (*.f64 alpha 2)))
(-.f64 (+.f64 beta (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -2 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (*.f64 2 (*.f64 (-.f64 (+.f64 2 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (*.f64 -2 alpha)) alpha)) (*.f64 -1 (pow.f64 alpha 2)))) beta)) (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)))) (*.f64 -2 alpha))
(+.f64 (+.f64 beta (+.f64 2 (fma.f64 -1 (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 alpha 2) 2) -3) (fma.f64 2 (*.f64 alpha (+.f64 (+.f64 2 (fma.f64 2 (+.f64 alpha 2) alpha)) (*.f64 alpha 2))) (neg.f64 (*.f64 alpha alpha)))) beta) (fma.f64 2 (+.f64 alpha 2) alpha)))) (*.f64 alpha 2))
(+.f64 beta (+.f64 (+.f64 (+.f64 6 (*.f64 alpha 3)) (neg.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 alpha 2) 2) -3) (fma.f64 2 (*.f64 alpha (+.f64 (*.f64 alpha 2) (+.f64 6 (*.f64 alpha 3)))) (*.f64 alpha (neg.f64 alpha)))) beta))) (*.f64 alpha 2)))
(-.f64 (+.f64 beta (+.f64 2 (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -2 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (*.f64 2 (*.f64 (-.f64 (+.f64 2 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (*.f64 -2 alpha)) alpha)) (*.f64 -1 (pow.f64 alpha 2)))) beta)) (+.f64 alpha (*.f64 2 (+.f64 2 alpha))))))) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 2 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (*.f64 -2 alpha)) (pow.f64 alpha 2)) (pow.f64 beta 2)) (+.f64 (*.f64 -2 alpha) (*.f64 2 (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 -2 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (*.f64 2 (*.f64 (-.f64 (+.f64 2 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (*.f64 -2 alpha)) alpha)) (*.f64 -1 (pow.f64 alpha 2)))) alpha) (pow.f64 beta 2))))))
(+.f64 beta (-.f64 (+.f64 (+.f64 2 (/.f64 (pow.f64 (+.f64 alpha 2) 3) (*.f64 beta beta))) (fma.f64 -1 (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 alpha 2) 2) -3) (fma.f64 2 (*.f64 alpha (+.f64 (+.f64 2 (fma.f64 2 (+.f64 alpha 2) alpha)) (*.f64 alpha 2))) (neg.f64 (*.f64 alpha alpha)))) beta) (fma.f64 2 (+.f64 alpha 2) alpha))) (+.f64 (/.f64 (+.f64 (+.f64 2 (fma.f64 2 (+.f64 alpha 2) alpha)) (*.f64 alpha 2)) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (fma.f64 -2 alpha (*.f64 2 (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 alpha 2) 2) -3) (fma.f64 2 (*.f64 alpha (+.f64 (+.f64 2 (fma.f64 2 (+.f64 alpha 2) alpha)) (*.f64 alpha 2))) (neg.f64 (*.f64 alpha alpha)))) (/.f64 (*.f64 beta beta) alpha)))))))
(+.f64 beta (-.f64 (+.f64 (+.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 3) (*.f64 beta beta)) (neg.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 alpha 2) 2) -3) (fma.f64 2 (*.f64 alpha (+.f64 (*.f64 alpha 2) (+.f64 6 (*.f64 alpha 3)))) (*.f64 alpha (neg.f64 alpha)))) beta))) (+.f64 6 (*.f64 alpha 3))) (+.f64 (/.f64 (+.f64 (*.f64 alpha 2) (+.f64 6 (*.f64 alpha 3))) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (fma.f64 -2 alpha (/.f64 (*.f64 2 (*.f64 alpha (-.f64 (*.f64 (pow.f64 (+.f64 alpha 2) 2) -3) (fma.f64 2 (*.f64 alpha (+.f64 (*.f64 alpha 2) (+.f64 6 (*.f64 alpha 3)))) (*.f64 alpha (neg.f64 alpha)))))) (*.f64 beta beta))))))
(/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 beta 2))
(/.f64 (pow.f64 (+.f64 2 beta) 3) (*.f64 beta beta))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 beta 2)) (*.f64 (-.f64 (+.f64 (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 beta 2))) (*.f64 -2 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 beta 3)))) alpha))
(+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (*.f64 beta beta)) (*.f64 alpha (+.f64 (/.f64 (*.f64 (+.f64 2 beta) (+.f64 4 (*.f64 2 beta))) (*.f64 beta beta)) (-.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta beta)) (*.f64 -2 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 beta 3)))))))
(+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (*.f64 beta beta)) (*.f64 alpha (+.f64 (/.f64 (*.f64 2 (pow.f64 (+.f64 2 beta) 2)) (*.f64 beta beta)) (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta beta)) (*.f64 2 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 beta 3)))))))
(+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 beta) (+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 6 (/.f64 1 (pow.f64 beta 2))))) (+.f64 (*.f64 -2 (/.f64 (-.f64 (+.f64 (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 beta 2))) (*.f64 -2 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 beta 3)))) beta)) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 beta 4)))) (pow.f64 alpha 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 beta 2)) (*.f64 (-.f64 (+.f64 (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 beta 2))) (*.f64 -2 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 beta 3)))) alpha)))
(fma.f64 (-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 2 beta) (/.f64 6 (*.f64 beta beta)))) (fma.f64 -2 (/.f64 (+.f64 (/.f64 (*.f64 (+.f64 2 beta) (+.f64 4 (*.f64 2 beta))) (*.f64 beta beta)) (-.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta beta)) (*.f64 -2 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 beta 3))))) beta) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 beta 4)))) (*.f64 alpha alpha) (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (*.f64 beta beta)) (*.f64 alpha (+.f64 (/.f64 (*.f64 (+.f64 2 beta) (+.f64 4 (*.f64 2 beta))) (*.f64 beta beta)) (-.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta beta)) (*.f64 -2 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 beta 3))))))))
(fma.f64 (+.f64 (/.f64 1 beta) (-.f64 (+.f64 (/.f64 2 beta) (/.f64 6 (*.f64 beta beta))) (fma.f64 -2 (/.f64 (+.f64 (/.f64 (*.f64 2 (pow.f64 (+.f64 2 beta) 2)) (*.f64 beta beta)) (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta beta)) (*.f64 2 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 beta 3))))) beta) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 beta 4))))) (*.f64 alpha alpha) (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (*.f64 beta beta)) (*.f64 alpha (+.f64 (/.f64 (*.f64 2 (pow.f64 (+.f64 2 beta) 2)) (*.f64 beta beta)) (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta beta)) (*.f64 2 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 beta 3))))))))
(+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 beta) (+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 6 (/.f64 1 (pow.f64 beta 2))))) (+.f64 (*.f64 -2 (/.f64 (-.f64 (+.f64 (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 beta 2))) (*.f64 -2 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 beta 3)))) beta)) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 beta 4)))) (pow.f64 alpha 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 beta 2)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 beta 2))) (*.f64 -2 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 beta 3)))) alpha) (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 -2 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 beta 5)))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 beta 4)) (+.f64 (*.f64 -2 (/.f64 (-.f64 (+.f64 (/.f64 1 beta) (+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 6 (/.f64 1 (pow.f64 beta 2))))) (+.f64 (*.f64 -2 (/.f64 (-.f64 (+.f64 (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 beta 2))) (*.f64 -2 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 beta 3)))) beta)) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 beta 4)))) beta)) (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 beta 4))))) (pow.f64 alpha 3)))))
(fma.f64 (-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 2 beta) (/.f64 6 (*.f64 beta beta)))) (fma.f64 -2 (/.f64 (+.f64 (/.f64 (*.f64 (+.f64 2 beta) (+.f64 4 (*.f64 2 beta))) (*.f64 beta beta)) (-.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta beta)) (*.f64 -2 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 beta 3))))) beta) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 beta 4)))) (*.f64 alpha alpha) (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (*.f64 beta beta)) (fma.f64 (+.f64 (/.f64 (*.f64 (+.f64 2 beta) (+.f64 4 (*.f64 2 beta))) (*.f64 beta beta)) (-.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta beta)) (*.f64 -2 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 beta 3))))) alpha (*.f64 (pow.f64 alpha 3) (-.f64 (+.f64 (/.f64 1 (*.f64 beta beta)) (*.f64 -2 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 beta 5)))) (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 beta 4)) (fma.f64 -2 (/.f64 (-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 2 beta) (/.f64 6 (*.f64 beta beta)))) (fma.f64 -2 (/.f64 (+.f64 (/.f64 (*.f64 (+.f64 2 beta) (+.f64 4 (*.f64 2 beta))) (*.f64 beta beta)) (-.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta beta)) (*.f64 -2 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 beta 3))))) beta) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 beta 4)))) beta) (/.f64 (*.f64 (+.f64 2 beta) (+.f64 4 (*.f64 2 beta))) (pow.f64 beta 4)))))))))
(fma.f64 (+.f64 (/.f64 1 beta) (-.f64 (+.f64 (/.f64 2 beta) (/.f64 6 (*.f64 beta beta))) (fma.f64 -2 (/.f64 (+.f64 (/.f64 (*.f64 2 (pow.f64 (+.f64 2 beta) 2)) (*.f64 beta beta)) (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta beta)) (*.f64 2 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 beta 3))))) beta) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 beta 4))))) (*.f64 alpha alpha) (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (*.f64 beta beta)) (fma.f64 (+.f64 (/.f64 (*.f64 2 (pow.f64 (+.f64 2 beta) 2)) (*.f64 beta beta)) (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta beta)) (*.f64 2 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 beta 3))))) alpha (*.f64 (pow.f64 alpha 3) (-.f64 (+.f64 (/.f64 1 (*.f64 beta beta)) (-.f64 (*.f64 -2 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 beta 5))) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 beta 4)))) (fma.f64 -2 (/.f64 (+.f64 (/.f64 1 beta) (-.f64 (+.f64 (/.f64 2 beta) (/.f64 6 (*.f64 beta beta))) (fma.f64 -2 (/.f64 (+.f64 (/.f64 (*.f64 2 (pow.f64 (+.f64 2 beta) 2)) (*.f64 beta beta)) (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta beta)) (*.f64 2 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 beta 3))))) beta) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 beta 4))))) beta) (/.f64 (*.f64 2 (pow.f64 (+.f64 2 beta) 2)) (pow.f64 beta 4))))))))
alpha
(-.f64 (+.f64 beta (+.f64 6 (+.f64 alpha (*.f64 2 beta)))) (*.f64 -2 beta))
(+.f64 (+.f64 beta (+.f64 6 (+.f64 alpha (*.f64 2 beta)))) (*.f64 2 beta))
(+.f64 (*.f64 2 beta) (+.f64 (+.f64 alpha 6) (*.f64 3 beta)))
(-.f64 (+.f64 beta (+.f64 6 (+.f64 (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2)) alpha) (+.f64 alpha (+.f64 (*.f64 2 beta) (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha)))))) (+.f64 (*.f64 -2 beta) (+.f64 (*.f64 -2 (/.f64 (*.f64 beta (-.f64 (+.f64 beta (+.f64 6 (*.f64 2 beta))) (*.f64 -2 beta))) alpha)) (/.f64 (pow.f64 beta 2) alpha))))
(-.f64 (+.f64 beta (+.f64 6 (+.f64 (/.f64 (*.f64 (+.f64 2 beta) (+.f64 4 (*.f64 2 beta))) alpha) (+.f64 alpha (fma.f64 2 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)))))) (fma.f64 -2 beta (fma.f64 -2 (/.f64 beta (/.f64 alpha (+.f64 (+.f64 beta (+.f64 6 (*.f64 2 beta))) (*.f64 2 beta)))) (/.f64 (*.f64 beta beta) alpha))))
(-.f64 (+.f64 (+.f64 (fma.f64 2 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (+.f64 alpha (/.f64 (*.f64 2 (pow.f64 (+.f64 2 beta) 2)) alpha))) (+.f64 beta 6)) (fma.f64 -2 beta (fma.f64 -2 (/.f64 beta (/.f64 alpha (+.f64 (+.f64 6 (*.f64 2 beta)) (*.f64 3 beta)))) (/.f64 (*.f64 beta beta) alpha))))
(-.f64 (+.f64 beta (+.f64 6 (+.f64 (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2)) alpha) (+.f64 alpha (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 2)) (+.f64 (*.f64 2 beta) (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha))))))) (+.f64 (*.f64 -2 beta) (+.f64 (*.f64 -2 (/.f64 (*.f64 beta (-.f64 (+.f64 beta (+.f64 6 (*.f64 2 beta))) (*.f64 -2 beta))) alpha)) (+.f64 (/.f64 (pow.f64 beta 2) alpha) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) (-.f64 (+.f64 beta (+.f64 6 (*.f64 2 beta))) (*.f64 -2 beta))) (pow.f64 alpha 2)) (*.f64 -2 (/.f64 (*.f64 beta (-.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2))) (+.f64 (*.f64 -2 (*.f64 beta (-.f64 (+.f64 beta (+.f64 6 (*.f64 2 beta))) (*.f64 -2 beta)))) (pow.f64 beta 2)))) (pow.f64 alpha 2))))))))
(+.f64 beta (-.f64 (+.f64 6 (+.f64 (/.f64 (*.f64 (+.f64 2 beta) (+.f64 4 (*.f64 2 beta))) alpha) (+.f64 alpha (+.f64 (fma.f64 2 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (*.f64 alpha alpha)))))) (fma.f64 -2 beta (+.f64 (fma.f64 -2 (/.f64 beta (/.f64 alpha (+.f64 (+.f64 beta (+.f64 6 (*.f64 2 beta))) (*.f64 2 beta)))) (/.f64 (*.f64 beta beta) alpha)) (+.f64 (/.f64 (*.f64 beta beta) (/.f64 (*.f64 alpha alpha) (+.f64 (+.f64 beta (+.f64 6 (*.f64 2 beta))) (*.f64 2 beta)))) (*.f64 -2 (/.f64 (*.f64 beta (+.f64 (pow.f64 (+.f64 2 beta) 2) (-.f64 (*.f64 (+.f64 2 beta) (+.f64 4 (*.f64 2 beta))) (fma.f64 -2 (*.f64 beta (+.f64 (+.f64 beta (+.f64 6 (*.f64 2 beta))) (*.f64 2 beta))) (*.f64 beta beta))))) (*.f64 alpha alpha))))))))
(+.f64 beta (-.f64 (+.f64 6 (+.f64 alpha (+.f64 (+.f64 (fma.f64 2 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (*.f64 alpha alpha))) (/.f64 (*.f64 2 (pow.f64 (+.f64 2 beta) 2)) alpha)))) (+.f64 (fma.f64 -2 beta (fma.f64 -2 (/.f64 beta (/.f64 alpha (+.f64 (+.f64 6 (*.f64 2 beta)) (*.f64 3 beta)))) (/.f64 (*.f64 beta beta) alpha))) (+.f64 (/.f64 (*.f64 (*.f64 beta -2) (+.f64 (pow.f64 (+.f64 2 beta) 2) (-.f64 (*.f64 2 (pow.f64 (+.f64 2 beta) 2)) (fma.f64 -2 (*.f64 beta (+.f64 (+.f64 6 (*.f64 2 beta)) (*.f64 3 beta))) (*.f64 beta beta))))) (*.f64 alpha alpha)) (/.f64 (*.f64 beta beta) (/.f64 (*.f64 alpha alpha) (+.f64 (+.f64 6 (*.f64 2 beta)) (*.f64 3 beta))))))))
alpha
(-.f64 (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) (+.f64 2 alpha))) (*.f64 -2 beta))
(+.f64 (+.f64 beta (+.f64 6 (+.f64 alpha (*.f64 2 beta)))) (*.f64 2 beta))
(+.f64 (*.f64 2 beta) (+.f64 (+.f64 alpha 6) (*.f64 3 beta)))
(-.f64 (+.f64 beta (+.f64 2 (+.f64 (*.f64 2 (+.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -2 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 2 (*.f64 beta (-.f64 (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 2)) (*.f64 -2 beta)))) (*.f64 -1 (pow.f64 beta 2)))) alpha)) alpha)))) (*.f64 -2 beta))
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1
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(*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2) (*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) 2) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) 2) (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))))
(*.f64 (/.f64 (-.f64 beta alpha) 1) (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))
(+.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 3)) -1)
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (/.f64 (-.f64 beta alpha) (/.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (+.f64 (+.f64 alpha 2) beta))) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) (*.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 (+.f64 alpha 2) beta))) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))
(*.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) (/.f64 1 (sqrt.f64 (+.f64 alpha (+.f64 2 beta))))) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 alpha (+.f64 2 beta))))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) 2))) 2)) (/.f64 (-.f64 beta alpha) (cbrt.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) 2)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (+.f64 (+.f64 alpha 2) beta) (pow.f64 (/.f64 (+.f64 (+.f64 alpha 2) beta) (-.f64 beta alpha)) 2))) 2)) (/.f64 (-.f64 beta alpha) (cbrt.f64 (*.f64 (+.f64 (+.f64 alpha 2) beta) (pow.f64 (/.f64 (+.f64 (+.f64 alpha 2) beta) (-.f64 beta alpha)) 2)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (pow.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) 2))) 2)) (/.f64 (-.f64 beta alpha) (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (pow.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) 2)))))
(*.f64 (/.f64 (-.f64 beta alpha) (/.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 beta alpha))) (/.f64 (neg.f64 (-.f64 beta alpha)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))
(*.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (pow.f64 (+.f64 (+.f64 alpha 2) beta) 2)) (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))) (-.f64 beta alpha)))
(*.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (*.f64 (-.f64 beta alpha) (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) 1) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) 2))))
(*.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (*.f64 (+.f64 (+.f64 alpha 2) beta) (pow.f64 (/.f64 (+.f64 (+.f64 alpha 2) beta) (-.f64 beta alpha)) 2))))
(*.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (+.f64 alpha (+.f64 2 beta))) (pow.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) 2)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (*.f64 (/.f64 1 (-.f64 beta alpha)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 (+.f64 (+.f64 alpha 2) beta) (-.f64 beta alpha))) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (*.f64 (pow.f64 (+.f64 (+.f64 alpha 2) beta) 2) (/.f64 1 (-.f64 beta alpha)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (+.f64 alpha (+.f64 2 beta))) (*.f64 (-.f64 beta alpha) (/.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 1 (-.f64 beta alpha))) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) 2))) 2)) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (cbrt.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) 2)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (pow.f64 (cbrt.f64 (*.f64 (+.f64 (+.f64 alpha 2) beta) (pow.f64 (/.f64 (+.f64 (+.f64 alpha 2) beta) (-.f64 beta alpha)) 2))) 2)) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (cbrt.f64 (*.f64 (+.f64 (+.f64 alpha 2) beta) (pow.f64 (/.f64 (+.f64 (+.f64 alpha 2) beta) (-.f64 beta alpha)) 2)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (pow.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) 2))))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (pow.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) 2))) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) 1) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) 2))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (*.f64 (+.f64 (+.f64 alpha 2) beta) (pow.f64 (/.f64 (+.f64 (+.f64 alpha 2) beta) (-.f64 beta alpha)) 2))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (/.f64 (/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 alpha (+.f64 2 beta))) (pow.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (*.f64 (/.f64 1 (-.f64 beta alpha)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))
(*.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (+.f64 (+.f64 alpha 2) beta)) (-.f64 beta alpha)) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (*.f64 (pow.f64 (+.f64 (+.f64 alpha 2) beta) 2) (/.f64 1 (-.f64 beta alpha)))))
(*.f64 (*.f64 (-.f64 beta alpha) (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (+.f64 alpha (+.f64 2 beta)))) (/.f64 (/.f64 (cbrt.f64 (-.f64 beta alpha)) (/.f64 1 (-.f64 beta alpha))) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (/.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (/.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(*.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (sqrt.f64 (+.f64 (+.f64 alpha 2) beta))) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) (*.f64 (/.f64 (cbrt.f64 (-.f64 beta alpha)) (sqrt.f64 (+.f64 (+.f64 alpha 2) beta))) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))
(*.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (sqrt.f64 (+.f64 alpha (+.f64 2 beta))))) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (sqrt.f64 (+.f64 alpha (+.f64 2 beta))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) 2))) 2)) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (pow.f64 (cbrt.f64 (*.f64 (+.f64 (+.f64 alpha 2) beta) (pow.f64 (/.f64 (+.f64 (+.f64 alpha 2) beta) (-.f64 beta alpha)) 2))) 2)))
(/.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2)) (pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (pow.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) 2))) 2))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)
(+.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 3)) -1)
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 1)
(+.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 3)) -1)
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)
(pow.f64 (sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) 2)
(+.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 3)) -1)
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) 3) -1)
(/.f64 1 (pow.f64 (/.f64 (+.f64 (+.f64 alpha 2) beta) (-.f64 beta alpha)) 3))
(/.f64 1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) 3))
(pow.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 3) 1/3)
(+.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 3)) -1)
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)
(neg.f64 (/.f64 (-.f64 beta alpha) (/.f64 (-.f64 -2 (+.f64 beta alpha)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))))
(/.f64 (neg.f64 (-.f64 beta alpha)) (/.f64 (-.f64 -2 (+.f64 alpha beta)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)))
(/.f64 (neg.f64 (-.f64 beta alpha)) (/.f64 (-.f64 -2 (+.f64 alpha beta)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)))
(sqrt.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 2))
(sqrt.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 3) 2))
(sqrt.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3) 2))
(log.f64 (exp.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)))
(+.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 3)) -1)
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))))
(+.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 3)) -1)
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 3))
(+.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 3)) -1)
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)))
(+.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 3)) -1)
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)
(exp.f64 (log.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)))
(+.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 3)) -1)
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) 1))
(+.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 3)) -1)
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)))
(+.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 3)) -1)
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)

localize3.0ms (0%)

Compiler

Compiled 7 to 7 computations (0% saved)

localize20.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.01%
(+.f64 (/.f64 beta (+.f64 beta 2)) 1)
0.02%
(/.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
@0
(/.f64 beta (+.f64 beta 2))
0.0ms
beta
@inf
(/.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)

rewrite85.0ms (0.6%)

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)))))

simplify128.0ms (0.9%)

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)))
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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))))
(-.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))
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(/.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 (pow.f64 (cbrt.f64 beta) 2) (*.f64 (cbrt.f64 beta) (/.f64 1 (+.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))
(pow.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 2)
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(/.f64 beta (+.f64 beta 2))
(pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 3)
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(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))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.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))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.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 (+.f64 -1 (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 beta (+.f64 beta 2)))
(*.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 1)
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(*.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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(+.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)))

localize20.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.01%
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
Compiler

Compiled 54 to 42 computations (22.2% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

6 calls:

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

rewrite80.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1958×add-sqr-sqrt
1936×*-un-lft-identity
1814×add-cube-cbrt
1796×add-cbrt-cube
178×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0819
117615
2235115
Stop Event
node limit
Counts
1 → 32
Calls
Call 1
Inputs
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 2 alpha 2) beta))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 2 alpha 2) (/.f64 1 beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 2 alpha 2) beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) (sqrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 2 alpha 2)) (*.f64 (sqrt.f64 (fma.f64 2 alpha 2)) (/.f64 1 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) 2) (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2) (*.f64 (cbrt.f64 (fma.f64 2 alpha 2)) (/.f64 1 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 beta) (fma.f64 2 alpha 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 2 alpha 2)) (/.f64 1 (neg.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 beta)) (/.f64 (fma.f64 2 alpha 2) (sqrt.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (fma.f64 2 alpha 2) (cbrt.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 2 alpha 2)) 1) (/.f64 (sqrt.f64 (fma.f64 2 alpha 2)) beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 2 alpha 2)) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (sqrt.f64 (fma.f64 2 alpha 2)) (cbrt.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 2 alpha 2)) beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2) (sqrt.f64 beta)) (/.f64 (cbrt.f64 (fma.f64 2 alpha 2)) (sqrt.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 2 alpha 2) beta) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 beta (fma.f64 2 alpha 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 2 alpha 2) (neg.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 2 alpha 2) beta) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 2 alpha 2) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 2 alpha 2) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 2 alpha 2) beta) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 2 alpha 2) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 2 alpha 2) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 2 alpha 2) beta)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 2 alpha 2) beta)))))))

simplify50.0ms (0.4%)

Algorithm
egg-herbie
Rules
990×associate-+r+
780×associate-+l+
766×*-commutative
580×associate-*r/
396×associate-*l/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
090972
1217960
2841732
33780732
Stop Event
node limit
Counts
44 → 45
Calls
Call 1
Inputs
(/.f64 2 beta)
(+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta)))
(+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta)))
(+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta)))
(*.f64 2 (/.f64 alpha beta))
(+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 2 (/.f64 alpha beta)))
(+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 2 (/.f64 alpha beta)))
(+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 2 (/.f64 alpha beta)))
(*.f64 2 (/.f64 alpha beta))
(+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 2 (/.f64 alpha beta)))
(+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 2 (/.f64 alpha beta)))
(+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 2 (/.f64 alpha beta)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 2 alpha 2) beta))) 1)
(*.f64 (fma.f64 2 alpha 2) (/.f64 1 beta))
(*.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1)
(*.f64 1 (/.f64 (fma.f64 2 alpha 2) beta))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) (sqrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)))
(*.f64 (sqrt.f64 (fma.f64 2 alpha 2)) (*.f64 (sqrt.f64 (fma.f64 2 alpha 2)) (/.f64 1 beta)))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) 2) (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2) (*.f64 (cbrt.f64 (fma.f64 2 alpha 2)) (/.f64 1 beta)))
(*.f64 (/.f64 1 beta) (fma.f64 2 alpha 2))
(*.f64 (neg.f64 (fma.f64 2 alpha 2)) (/.f64 1 (neg.f64 beta)))
(*.f64 (/.f64 1 (sqrt.f64 beta)) (/.f64 (fma.f64 2 alpha 2) (sqrt.f64 beta)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (fma.f64 2 alpha 2) (cbrt.f64 beta)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 alpha 2)) 1) (/.f64 (sqrt.f64 (fma.f64 2 alpha 2)) beta))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 alpha 2)) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (sqrt.f64 (fma.f64 2 alpha 2)) (cbrt.f64 beta)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 2 alpha 2)) beta))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2) (sqrt.f64 beta)) (/.f64 (cbrt.f64 (fma.f64 2 alpha 2)) (sqrt.f64 beta)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)))
(pow.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) 2)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 2 alpha 2) beta) 3) 1/3)
(pow.f64 (/.f64 beta (fma.f64 2 alpha 2)) -1)
(neg.f64 (/.f64 (fma.f64 2 alpha 2) (neg.f64 beta)))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 2 alpha 2) beta) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 2 alpha 2) beta)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 2 alpha 2) beta))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 2 alpha 2) beta) 3))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 2 alpha 2) beta)))
(exp.f64 (log.f64 (/.f64 (fma.f64 2 alpha 2) beta)))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 2 alpha 2) beta)) 1))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 2 alpha 2) beta)))
Outputs
(/.f64 2 beta)
(+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta)))
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta))
(/.f64 (fma.f64 2 alpha 2) beta)
(+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta)))
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta))
(/.f64 (fma.f64 2 alpha 2) beta)
(+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta)))
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta))
(/.f64 (fma.f64 2 alpha 2) beta)
(*.f64 2 (/.f64 alpha beta))
(*.f64 (/.f64 2 beta) alpha)
(/.f64 2 (/.f64 beta alpha))
(+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 2 (/.f64 alpha beta)))
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta))
(/.f64 (fma.f64 2 alpha 2) beta)
(+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 2 (/.f64 alpha beta)))
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta))
(/.f64 (fma.f64 2 alpha 2) beta)
(+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 2 (/.f64 alpha beta)))
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta))
(/.f64 (fma.f64 2 alpha 2) beta)
(*.f64 2 (/.f64 alpha beta))
(*.f64 (/.f64 2 beta) alpha)
(/.f64 2 (/.f64 beta alpha))
(+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 2 (/.f64 alpha beta)))
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta))
(/.f64 (fma.f64 2 alpha 2) beta)
(+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 2 (/.f64 alpha beta)))
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta))
(/.f64 (fma.f64 2 alpha 2) beta)
(+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 2 (/.f64 alpha beta)))
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta))
(/.f64 (fma.f64 2 alpha 2) beta)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 2 alpha 2) beta))) 1)
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta))
(/.f64 (fma.f64 2 alpha 2) beta)
(*.f64 (fma.f64 2 alpha 2) (/.f64 1 beta))
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta))
(/.f64 (fma.f64 2 alpha 2) beta)
(*.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1)
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta))
(/.f64 (fma.f64 2 alpha 2) beta)
(*.f64 1 (/.f64 (fma.f64 2 alpha 2) beta))
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta))
(/.f64 (fma.f64 2 alpha 2) beta)
(*.f64 (sqrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) (sqrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)))
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta))
(/.f64 (fma.f64 2 alpha 2) beta)
(*.f64 (sqrt.f64 (fma.f64 2 alpha 2)) (*.f64 (sqrt.f64 (fma.f64 2 alpha 2)) (/.f64 1 beta)))
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta))
(/.f64 (fma.f64 2 alpha 2) beta)
(*.f64 (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) 2))
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta))
(/.f64 (fma.f64 2 alpha 2) beta)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) 2) (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)))
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta))
(/.f64 (fma.f64 2 alpha 2) beta)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2) (*.f64 (cbrt.f64 (fma.f64 2 alpha 2)) (/.f64 1 beta)))
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta))
(/.f64 (fma.f64 2 alpha 2) beta)
(*.f64 (/.f64 1 beta) (fma.f64 2 alpha 2))
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta))
(/.f64 (fma.f64 2 alpha 2) beta)
(*.f64 (neg.f64 (fma.f64 2 alpha 2)) (/.f64 1 (neg.f64 beta)))
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta))
(/.f64 (fma.f64 2 alpha 2) beta)
(*.f64 (/.f64 1 (sqrt.f64 beta)) (/.f64 (fma.f64 2 alpha 2) (sqrt.f64 beta)))
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta))
(/.f64 (fma.f64 2 alpha 2) beta)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (fma.f64 2 alpha 2) (cbrt.f64 beta)))
(/.f64 (/.f64 (fma.f64 2 alpha 2) (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2))
(/.f64 (fma.f64 2 alpha 2) (*.f64 (pow.f64 (cbrt.f64 beta) 2) (cbrt.f64 beta)))
(/.f64 (fma.f64 2 alpha 2) (*.f64 (cbrt.f64 beta) (pow.f64 (cbrt.f64 beta) 2)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 alpha 2)) 1) (/.f64 (sqrt.f64 (fma.f64 2 alpha 2)) beta))
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta))
(/.f64 (fma.f64 2 alpha 2) beta)
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 alpha 2)) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (sqrt.f64 (fma.f64 2 alpha 2)) (cbrt.f64 beta)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (fma.f64 2 alpha 2) (cbrt.f64 beta)))
(/.f64 (/.f64 (fma.f64 2 alpha 2) (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2))
(/.f64 (fma.f64 2 alpha 2) (*.f64 (pow.f64 (cbrt.f64 beta) 2) (cbrt.f64 beta)))
(/.f64 (fma.f64 2 alpha 2) (*.f64 (cbrt.f64 beta) (pow.f64 (cbrt.f64 beta) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 2 alpha 2)) beta))
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta))
(/.f64 (fma.f64 2 alpha 2) beta)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2) (sqrt.f64 beta)) (/.f64 (cbrt.f64 (fma.f64 2 alpha 2)) (sqrt.f64 beta)))
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta))
(/.f64 (fma.f64 2 alpha 2) beta)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2) (pow.f64 (cbrt.f64 beta) 2)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2)) (pow.f64 (cbrt.f64 beta) 2))
(pow.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1)
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta))
(/.f64 (fma.f64 2 alpha 2) beta)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) 2)
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta))
(/.f64 (fma.f64 2 alpha 2) beta)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) 3)
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta))
(/.f64 (fma.f64 2 alpha 2) beta)
(pow.f64 (pow.f64 (/.f64 (fma.f64 2 alpha 2) beta) 3) 1/3)
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta))
(/.f64 (fma.f64 2 alpha 2) beta)
(pow.f64 (/.f64 beta (fma.f64 2 alpha 2)) -1)
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta))
(/.f64 (fma.f64 2 alpha 2) beta)
(neg.f64 (/.f64 (fma.f64 2 alpha 2) (neg.f64 beta)))
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta))
(/.f64 (fma.f64 2 alpha 2) beta)
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 2 alpha 2) beta) 2))
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta))
(/.f64 (fma.f64 2 alpha 2) beta)
(log.f64 (exp.f64 (/.f64 (fma.f64 2 alpha 2) beta)))
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta))
(/.f64 (fma.f64 2 alpha 2) beta)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 2 alpha 2) beta))))
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta))
(/.f64 (fma.f64 2 alpha 2) beta)
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 2 alpha 2) beta) 3))
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta))
(/.f64 (fma.f64 2 alpha 2) beta)
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 2 alpha 2) beta)))
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta))
(/.f64 (fma.f64 2 alpha 2) beta)
(exp.f64 (log.f64 (/.f64 (fma.f64 2 alpha 2) beta)))
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta))
(/.f64 (fma.f64 2 alpha 2) beta)
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 2 alpha 2) beta)) 1))
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta))
(/.f64 (fma.f64 2 alpha 2) beta)
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 2 alpha 2) beta)))
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta))
(/.f64 (fma.f64 2 alpha 2) beta)

localize56.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.04%
(+.f64 beta (+.f64 beta -2))
2.66%
(/.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) alpha)
5.71%
(*.f64 (/.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) alpha) alpha)
16.77%
(/.f64 (+.f64 (*.f64 (/.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) alpha) alpha) (*.f64 alpha (+.f64 beta (+.f64 beta -2)))) (*.f64 alpha alpha))
Compiler

Compiled 171 to 95 computations (44.4% saved)

series31.0ms (0.2%)

Counts
4 → 84
Calls

21 calls:

TimeVariablePointExpression
26.0ms
beta
@0
(/.f64 (+.f64 (*.f64 (/.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) alpha) alpha) (*.f64 alpha (+.f64 beta (+.f64 beta -2)))) (*.f64 alpha alpha))
1.0ms
alpha
@-inf
(/.f64 (+.f64 (*.f64 (/.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) alpha) alpha) (*.f64 alpha (+.f64 beta (+.f64 beta -2)))) (*.f64 alpha alpha))
1.0ms
alpha
@0
(/.f64 (+.f64 (*.f64 (/.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) alpha) alpha) (*.f64 alpha (+.f64 beta (+.f64 beta -2)))) (*.f64 alpha alpha))
1.0ms
beta
@-inf
(/.f64 (+.f64 (*.f64 (/.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) alpha) alpha) (*.f64 alpha (+.f64 beta (+.f64 beta -2)))) (*.f64 alpha alpha))
1.0ms
alpha
@inf
(/.f64 (+.f64 (*.f64 (/.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) alpha) alpha) (*.f64 alpha (+.f64 beta (+.f64 beta -2)))) (*.f64 alpha alpha))

rewrite137.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
626×associate-+r+
484×+-commutative
474×add-sqr-sqrt
464×pow1
464×*-un-lft-identity
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
018150
1445128
27329104
Stop Event
node limit
Counts
4 → 142
Calls
Call 1
Inputs
(/.f64 (+.f64 (*.f64 (/.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) alpha) alpha) (*.f64 alpha (+.f64 beta (+.f64 beta -2)))) (*.f64 alpha alpha))
(*.f64 (/.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) alpha) alpha)
(/.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) alpha)
(+.f64 beta (+.f64 beta -2))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 alpha (/.f64 (+.f64 (+.f64 beta beta) 4) alpha)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 beta beta) 4) (/.f64 alpha alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 alpha (/.f64 alpha (+.f64 (+.f64 beta beta) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 alpha (*.f64 (+.f64 (+.f64 beta beta) 4) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (+.f64 beta beta) 4) alpha) alpha)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 2 beta) alpha) (/.f64 alpha (fma.f64 2 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 alpha (+.f64 2 beta)) (/.f64 alpha (fma.f64 2 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 alpha (neg.f64 (+.f64 (+.f64 beta beta) 4))) (neg.f64 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (+.f64 (+.f64 beta beta) 4)) alpha) (neg.f64 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 (+.f64 beta beta) 4) alpha) 1) alpha)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 (+.f64 beta beta) 4) alpha) (sqrt.f64 alpha)) (sqrt.f64 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 (+.f64 beta beta) 4) alpha) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (+.f64 (+.f64 beta beta) 4) alpha)) (neg.f64 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 alpha (/.f64 (+.f64 (+.f64 beta beta) 4) alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 alpha (/.f64 (+.f64 (+.f64 beta beta) 4) alpha))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 alpha (/.f64 (+.f64 (+.f64 beta beta) 4) alpha))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 alpha (/.f64 (+.f64 (+.f64 beta beta) 4) alpha)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 alpha (/.f64 (+.f64 (+.f64 beta beta) 4) alpha)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 alpha) (/.f64 (+.f64 (+.f64 beta beta) 4) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 alpha (/.f64 (+.f64 (+.f64 beta beta) 4) alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 alpha (/.f64 (+.f64 (+.f64 beta beta) 4) alpha)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 alpha (/.f64 (+.f64 (+.f64 beta beta) 4) alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 alpha (/.f64 (+.f64 (+.f64 beta beta) 4) alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 alpha (/.f64 (+.f64 (+.f64 beta beta) 4) alpha))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 alpha (/.f64 (+.f64 (+.f64 beta beta) 4) alpha))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (+.f64 beta beta) 4) alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 2 beta) (*.f64 (fma.f64 2 beta 2) (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 2 beta) (/.f64 1 (/.f64 alpha (fma.f64 2 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 2 beta 2) (*.f64 (+.f64 2 beta) (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 beta beta) 4) (/.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (+.f64 beta beta) 4) alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 (+.f64 beta beta) 4) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (+.f64 beta beta) 4)) (*.f64 (sqrt.f64 (+.f64 (+.f64 beta beta) 4)) (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 (+.f64 beta beta) 4) alpha)) (sqrt.f64 (/.f64 (+.f64 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(+.f64 (+.f64 beta beta) 4)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (+.f64 beta beta) 4)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (+.f64 (+.f64 beta beta) 4)) (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta beta) 4)) 2) 1) (/.f64 (cbrt.f64 (+.f64 (+.f64 beta beta) 4)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta beta) 4)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (+.f64 (+.f64 beta beta) 4)) (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta beta) 4)) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (+.f64 (+.f64 beta beta) 4) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (+.f64 beta beta) 4) alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 (+.f64 beta beta) 4) alpha)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 (+.f64 beta beta) 4) alpha)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 (+.f64 beta beta) 4) alpha) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 alpha (+.f64 (+.f64 beta beta) 4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (+.f64 beta beta) 4) (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 (+.f64 beta beta) 4) alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 (+.f64 beta beta) 4) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (+.f64 beta beta) 4) alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 (+.f64 beta beta) 4) alpha) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 (+.f64 beta beta) 4) 3) (pow.f64 alpha 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 (+.f64 beta beta) 4) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 (+.f64 beta beta) 4) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (+.f64 beta beta) 4) alpha)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 (+.f64 beta beta) 4) alpha)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 2 beta -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 beta beta) 2) (/.f64 (pow.f64 (+.f64 beta -2) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 2 beta -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 2 beta -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 2 beta -2)) (sqrt.f64 (fma.f64 2 beta -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 2 beta -2)) (pow.f64 (cbrt.f64 (fma.f64 2 beta -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta -2)) 2) (cbrt.f64 (fma.f64 2 beta -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 2 beta -2) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta -2) 3)) (/.f64 1 (fma.f64 beta beta (*.f64 (+.f64 beta -2) (-.f64 (+.f64 beta -2) beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 2 (*.f64 (fma.f64 2 beta -2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 beta beta (*.f64 (+.f64 beta -2) (-.f64 (+.f64 beta -2) beta))) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta -2) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 2 beta -2) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta -2) 3)) (fma.f64 beta beta (*.f64 (+.f64 beta -2) (-.f64 (+.f64 beta -2) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta -2) 3)) (+.f64 (pow.f64 (+.f64 beta -2) 2) (-.f64 (*.f64 beta beta) (*.f64 beta (+.f64 beta -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 beta beta) 4) (-.f64 (+.f64 beta beta) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 beta -2) 2) (*.f64 beta beta)) (-.f64 (+.f64 beta -2) beta))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 beta beta) -8) (+.f64 (+.f64 beta beta) (-.f64 4 (*.f64 (+.f64 beta beta) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (fma.f64 2 beta -2) 2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta -2) 3))) (neg.f64 (fma.f64 beta beta (*.f64 (+.f64 beta -2) (-.f64 (+.f64 beta -2) beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 2 beta -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 2 beta -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 2 beta -2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 2 beta -2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 2 beta -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 2 beta -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 2 beta -2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 2 beta -2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 2 beta -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 2 beta -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 2 beta -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 2 beta -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 beta -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 beta beta) (+.f64 beta beta) -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 beta (+.f64 beta -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 beta beta) -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 beta -2) beta)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 beta -2)) (sqrt.f64 (+.f64 beta -2)) beta)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 beta) (sqrt.f64 beta) (+.f64 beta -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 beta -2) 2)) (cbrt.f64 (+.f64 beta -2)) beta)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 beta beta)) (cbrt.f64 beta) (+.f64 beta -2))))))

simplify144.0ms (1.1%)

Algorithm
egg-herbie
Rules
1058×associate-/r/
768×associate-+r+
756×associate-+l+
532×+-commutative
446×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03827314
110276136
246546068
Stop Event
node limit
Counts
226 → 260
Calls
Call 1
Inputs
(/.f64 (+.f64 4 (*.f64 -2 alpha)) (pow.f64 alpha 2))
(+.f64 (/.f64 -2 alpha) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (*.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))) beta)))
(+.f64 (/.f64 -2 alpha) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))) beta))))
(+.f64 (/.f64 -2 alpha) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))) beta))))
(*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))) beta))
(-.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (*.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))) beta) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (*.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))) beta) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))) beta))
(-.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (*.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))) beta) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (*.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))) beta) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 2 (/.f64 1 alpha)))
(/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))
(-.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))
(/.f64 (-.f64 (*.f64 2 beta) 2) alpha)
(-.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))
(/.f64 (-.f64 (*.f64 2 beta) 2) alpha)
(-.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))
4
(+.f64 (*.f64 6 beta) 4)
(+.f64 (*.f64 6 beta) (+.f64 4 (*.f64 2 (pow.f64 beta 2))))
(+.f64 (*.f64 6 beta) (+.f64 4 (*.f64 2 (pow.f64 beta 2))))
(*.f64 2 (pow.f64 beta 2))
(+.f64 (*.f64 6 beta) (*.f64 2 (pow.f64 beta 2)))
(+.f64 (*.f64 6 beta) (+.f64 4 (*.f64 2 (pow.f64 beta 2))))
(+.f64 (*.f64 6 beta) (+.f64 4 (*.f64 2 (pow.f64 beta 2))))
(*.f64 2 (pow.f64 beta 2))
(+.f64 (*.f64 6 beta) (*.f64 2 (pow.f64 beta 2)))
(+.f64 (*.f64 6 beta) (+.f64 4 (*.f64 2 (pow.f64 beta 2))))
(+.f64 (*.f64 6 beta) (+.f64 4 (*.f64 2 (pow.f64 beta 2))))
(*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2))
(*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2))
(*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2))
(*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2))
(*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2))
(*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2))
(*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2))
(*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2))
(*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2))
(*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2))
(*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2))
(*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2))
(/.f64 4 alpha)
(+.f64 (*.f64 6 (/.f64 beta alpha)) (*.f64 4 (/.f64 1 alpha)))
(+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) alpha)) (+.f64 (*.f64 6 (/.f64 beta alpha)) (*.f64 4 (/.f64 1 alpha))))
(+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) alpha)) (+.f64 (*.f64 6 (/.f64 beta alpha)) (*.f64 4 (/.f64 1 alpha))))
(*.f64 2 (/.f64 (pow.f64 beta 2) alpha))
(+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) alpha)) (*.f64 6 (/.f64 beta alpha)))
(+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) alpha)) (+.f64 (*.f64 6 (/.f64 beta alpha)) (*.f64 4 (/.f64 1 alpha))))
(+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) alpha)) (+.f64 (*.f64 6 (/.f64 beta alpha)) (*.f64 4 (/.f64 1 alpha))))
(*.f64 2 (/.f64 (pow.f64 beta 2) alpha))
(+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) alpha)) (*.f64 6 (/.f64 beta alpha)))
(+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) alpha)) (+.f64 (*.f64 6 (/.f64 beta alpha)) (*.f64 4 (/.f64 1 alpha))))
(+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) alpha)) (+.f64 (*.f64 6 (/.f64 beta alpha)) (*.f64 4 (/.f64 1 alpha))))
(/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) alpha)
(/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) alpha)
(/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) alpha)
(/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) alpha)
(/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) alpha)
(/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) alpha)
(/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) alpha)
(/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) alpha)
(/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) alpha)
(/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) alpha)
(/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) alpha)
(/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) alpha)
-2
(-.f64 (*.f64 2 beta) 2)
(-.f64 (*.f64 2 beta) 2)
(-.f64 (*.f64 2 beta) 2)
(*.f64 2 beta)
(-.f64 (*.f64 2 beta) 2)
(-.f64 (*.f64 2 beta) 2)
(-.f64 (*.f64 2 beta) 2)
(*.f64 2 beta)
(-.f64 (*.f64 2 beta) 2)
(-.f64 (*.f64 2 beta) 2)
(-.f64 (*.f64 2 beta) 2)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 alpha (+.f64 (/.f64 (+.f64 (+.f64 beta beta) 4) alpha) (fma.f64 2 beta -2))) (pow.f64 alpha -2)))) 1)
(*.f64 (*.f64 alpha (+.f64 (/.f64 (+.f64 (+.f64 beta beta) 4) alpha) (fma.f64 2 beta -2))) (pow.f64 alpha -2))
(*.f64 (*.f64 (*.f64 alpha (+.f64 (/.f64 (+.f64 (+.f64 beta beta) 4) alpha) (fma.f64 2 beta -2))) (pow.f64 alpha -2)) 1)
(*.f64 1 (*.f64 (*.f64 alpha (+.f64 (/.f64 (+.f64 (+.f64 beta beta) 4) alpha) (fma.f64 2 beta -2))) (pow.f64 alpha -2)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 alpha (+.f64 (/.f64 (+.f64 (+.f64 beta beta) 4) alpha) (fma.f64 2 beta -2)))) alpha) (/.f64 (sqrt.f64 (*.f64 alpha (+.f64 (/.f64 (+.f64 (+.f64 beta beta) 4) alpha) (fma.f64 2 beta -2)))) alpha))
(*.f64 (sqrt.f64 (*.f64 alpha (+.f64 (/.f64 (+.f64 (+.f64 beta beta) 4) alpha) (fma.f64 2 beta -2)))) (*.f64 (sqrt.f64 (*.f64 alpha (+.f64 (/.f64 (+.f64 (+.f64 beta beta) 4) alpha) (fma.f64 2 beta -2)))) (pow.f64 alpha -2)))
(*.f64 (cbrt.f64 (*.f64 (*.f64 alpha (+.f64 (/.f64 (+.f64 (+.f64 beta beta) 4) alpha) (fma.f64 2 beta -2))) (pow.f64 alpha -2))) (pow.f64 (cbrt.f64 (*.f64 (*.f64 alpha (+.f64 (/.f64 (+.f64 (+.f64 beta beta) 4) alpha) (fma.f64 2 beta -2))) (pow.f64 alpha -2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 alpha (+.f64 (/.f64 (+.f64 (+.f64 beta beta) 4) alpha) (fma.f64 2 beta -2))) (pow.f64 alpha -2))) 2) (cbrt.f64 (*.f64 (*.f64 alpha (+.f64 (/.f64 (+.f64 (+.f64 beta beta) 4) alpha) (fma.f64 2 beta -2))) (pow.f64 alpha -2))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 alpha (+.f64 (/.f64 (+.f64 (+.f64 beta beta) 4) alpha) (fma.f64 2 beta -2))) 2)) (*.f64 (cbrt.f64 (*.f64 alpha (+.f64 (/.f64 (+.f64 (+.f64 beta beta) 4) alpha) (fma.f64 2 beta -2)))) (pow.f64 alpha -2)))
(*.f64 (/.f64 (*.f64 alpha (+.f64 (/.f64 (+.f64 (+.f64 beta beta) 4) alpha) (fma.f64 2 beta -2))) alpha) (/.f64 1 alpha))
(*.f64 (pow.f64 alpha -2) (*.f64 alpha (+.f64 (/.f64 (+.f64 (+.f64 beta beta) 4) alpha) (fma.f64 2 beta -2))))
(*.f64 (/.f64 1 alpha) (/.f64 (*.f64 alpha (+.f64 (/.f64 (+.f64 (+.f64 beta beta) 4) alpha) (fma.f64 2 beta -2))) alpha))
(*.f64 (neg.f64 (*.f64 alpha (+.f64 (/.f64 (+.f64 (+.f64 beta beta) 4) alpha) (fma.f64 2 beta -2)))) (/.f64 1 (*.f64 alpha (neg.f64 alpha))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 alpha 4))) (/.f64 (*.f64 alpha (+.f64 (/.f64 (+.f64 (+.f64 beta beta) 4) alpha) (fma.f64 2 beta -2))) (pow.f64 (cbrt.f64 alpha) 2)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 alpha (+.f64 (/.f64 (+.f64 (+.f64 beta beta) 4) alpha) (fma.f64 2 beta -2)))) 1) (/.f64 (sqrt.f64 (*.f64 alpha (+.f64 (/.f64 (+.f64 (+.f64 beta beta) 4) alpha) (fma.f64 2 beta -2)))) (*.f64 alpha alpha)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 alpha (+.f64 (/.f64 (+.f64 (+.f64 beta beta) 4) alpha) (fma.f64 2 beta -2)))) (cbrt.f64 (pow.f64 alpha 4))) (/.f64 (sqrt.f64 (*.f64 alpha (+.f64 (/.f64 (+.f64 (+.f64 beta beta) 4) alpha) (fma.f64 2 beta -2)))) (pow.f64 (cbrt.f64 alpha) 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 alpha (+.f64 (/.f64 (+.f64 (+.f64 beta beta) 4) alpha) (fma.f64 2 beta -2))) 2)) alpha) (/.f64 (cbrt.f64 (*.f64 alpha (+.f64 (/.f64 (+.f64 (+.f64 beta beta) 4) alpha) (fma.f64 2 beta -2)))) alpha))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 alpha (+.f64 (/.f64 (+.f64 (+.f64 beta beta) 4) alpha) (fma.f64 2 beta -2))) 2)) 1) (/.f64 (cbrt.f64 (*.f64 alpha (+.f64 (/.f64 (+.f64 (+.f64 beta beta) 4) alpha) (fma.f64 2 beta -2)))) (*.f64 alpha alpha)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 alpha (+.f64 (/.f64 (+.f64 (+.f64 beta beta) 4) alpha) (fma.f64 2 beta -2))) 2)) (cbrt.f64 (pow.f64 alpha 4))) (cbrt.f64 (*.f64 (*.f64 alpha (+.f64 (/.f64 (+.f64 (+.f64 beta beta) 4) alpha) (fma.f64 2 beta -2))) (pow.f64 alpha -2))))
(pow.f64 (*.f64 (*.f64 alpha (+.f64 (/.f64 (+.f64 (+.f64 beta beta) 4) alpha) (fma.f64 2 beta -2))) (pow.f64 alpha -2)) 1)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 alpha (+.f64 (/.f64 (+.f64 (+.f64 beta beta) 4) alpha) (fma.f64 2 beta -2)))) alpha) 2)
(pow.f64 (cbrt.f64 (*.f64 (*.f64 alpha (+.f64 (/.f64 (+.f64 (+.f64 beta beta) 4) alpha) (fma.f64 2 beta -2))) (pow.f64 alpha -2))) 3)
(pow.f64 (pow.f64 (*.f64 (*.f64 alpha (+.f64 (/.f64 (+.f64 (+.f64 beta beta) 4) alpha) (fma.f64 2 beta -2))) (pow.f64 alpha -2)) 3) 1/3)
(pow.f64 (/.f64 alpha (/.f64 (*.f64 alpha (+.f64 (/.f64 (+.f64 (+.f64 beta beta) 4) alpha) (fma.f64 2 beta -2))) alpha)) -1)
(neg.f64 (/.f64 (*.f64 alpha (+.f64 (/.f64 (+.f64 (+.f64 beta beta) 4) alpha) (fma.f64 2 beta -2))) (*.f64 alpha (neg.f64 alpha))))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 alpha (+.f64 (/.f64 (+.f64 (+.f64 beta beta) 4) alpha) (fma.f64 2 beta -2))) 2) (pow.f64 alpha 4)))
(log.f64 (pow.f64 (exp.f64 (*.f64 alpha (+.f64 (/.f64 (+.f64 (+.f64 beta beta) 4) alpha) (fma.f64 2 beta -2)))) (pow.f64 alpha -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 alpha (+.f64 (/.f64 (+.f64 (+.f64 beta beta) 4) alpha) (fma.f64 2 beta -2))) (pow.f64 alpha -2)))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 alpha (+.f64 (/.f64 (+.f64 (+.f64 beta beta) 4) alpha) (fma.f64 2 beta -2))) (pow.f64 alpha -2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 alpha (+.f64 (/.f64 (+.f64 (+.f64 beta beta) 4) alpha) (fma.f64 2 beta -2))) 3) (pow.f64 (*.f64 alpha alpha) 3)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 alpha (+.f64 (/.f64 (+.f64 (+.f64 beta beta) 4) alpha) (fma.f64 2 beta -2))) (pow.f64 alpha -2))))
(exp.f64 (log.f64 (*.f64 (*.f64 alpha (+.f64 (/.f64 (+.f64 (+.f64 beta beta) 4) alpha) (fma.f64 2 beta -2))) (pow.f64 alpha -2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 alpha (+.f64 (/.f64 (+.f64 (+.f64 beta beta) 4) alpha) (fma.f64 2 beta -2))) (pow.f64 alpha -2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 alpha (+.f64 (/.f64 (+.f64 (+.f64 beta beta) 4) alpha) (fma.f64 2 beta -2))) (pow.f64 alpha -2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 alpha (/.f64 (+.f64 (+.f64 beta beta) 4) alpha)))) 1)
(/.f64 (+.f64 (+.f64 beta beta) 4) (/.f64 alpha alpha))
(/.f64 alpha (/.f64 alpha (+.f64 (+.f64 beta beta) 4)))
(/.f64 1 (/.f64 alpha (*.f64 (+.f64 (+.f64 beta beta) 4) alpha)))
(/.f64 (*.f64 (+.f64 (+.f64 beta beta) 4) alpha) alpha)
(/.f64 (*.f64 (+.f64 2 beta) alpha) (/.f64 alpha (fma.f64 2 beta 2)))
(/.f64 (*.f64 alpha (+.f64 2 beta)) (/.f64 alpha (fma.f64 2 beta 2)))
(/.f64 (*.f64 alpha (neg.f64 (+.f64 (+.f64 beta beta) 4))) (neg.f64 alpha))
(/.f64 (*.f64 (neg.f64 (+.f64 (+.f64 beta beta) 4)) alpha) (neg.f64 alpha))
(/.f64 (/.f64 (*.f64 (+.f64 (+.f64 beta beta) 4) alpha) 1) alpha)
(/.f64 (/.f64 (*.f64 (+.f64 (+.f64 beta beta) 4) alpha) (sqrt.f64 alpha)) (sqrt.f64 alpha))
(/.f64 (/.f64 (*.f64 (+.f64 (+.f64 beta beta) 4) alpha) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 alpha))
(/.f64 (neg.f64 (*.f64 (+.f64 (+.f64 beta beta) 4) alpha)) (neg.f64 alpha))
(pow.f64 (*.f64 alpha (/.f64 (+.f64 (+.f64 beta beta) 4) alpha)) 1)
(pow.f64 (sqrt.f64 (*.f64 alpha (/.f64 (+.f64 (+.f64 beta beta) 4) alpha))) 2)
(pow.f64 (cbrt.f64 (*.f64 alpha (/.f64 (+.f64 (+.f64 beta beta) 4) alpha))) 3)
(pow.f64 (pow.f64 (*.f64 alpha (/.f64 (+.f64 (+.f64 beta beta) 4) alpha)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 alpha (/.f64 (+.f64 (+.f64 beta beta) 4) alpha)) 2))
(log.f64 (pow.f64 (exp.f64 alpha) (/.f64 (+.f64 (+.f64 beta beta) 4) alpha)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 alpha (/.f64 (+.f64 (+.f64 beta beta) 4) alpha)))))
(cbrt.f64 (pow.f64 (*.f64 alpha (/.f64 (+.f64 (+.f64 beta beta) 4) alpha)) 3))
(expm1.f64 (log1p.f64 (*.f64 alpha (/.f64 (+.f64 (+.f64 beta beta) 4) alpha))))
(exp.f64 (log.f64 (*.f64 alpha (/.f64 (+.f64 (+.f64 beta beta) 4) alpha))))
(exp.f64 (*.f64 (log.f64 (*.f64 alpha (/.f64 (+.f64 (+.f64 beta beta) 4) alpha))) 1))
(log1p.f64 (expm1.f64 (*.f64 alpha (/.f64 (+.f64 (+.f64 beta beta) 4) alpha))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (+.f64 beta beta) 4) alpha))) 1)
(*.f64 (+.f64 2 beta) (*.f64 (fma.f64 2 beta 2) (/.f64 1 alpha)))
(*.f64 (+.f64 2 beta) (/.f64 1 (/.f64 alpha (fma.f64 2 beta 2))))
(*.f64 (fma.f64 2 beta 2) (*.f64 (+.f64 2 beta) (/.f64 1 alpha)))
(*.f64 (+.f64 (+.f64 beta beta) 4) (/.f64 1 alpha))
(*.f64 (/.f64 (+.f64 (+.f64 beta beta) 4) alpha) 1)
(*.f64 1 (/.f64 (+.f64 (+.f64 beta beta) 4) alpha))
(*.f64 (sqrt.f64 (+.f64 (+.f64 beta beta) 4)) (*.f64 (sqrt.f64 (+.f64 (+.f64 beta beta) 4)) (/.f64 1 alpha)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 (+.f64 beta beta) 4) alpha)) (sqrt.f64 (/.f64 (+.f64 (+.f64 beta beta) 4) alpha)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta beta) 4)) 2) (*.f64 (cbrt.f64 (+.f64 (+.f64 beta beta) 4)) (/.f64 1 alpha)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 (+.f64 beta beta) 4) alpha)) (cbrt.f64 (pow.f64 (/.f64 (+.f64 (+.f64 beta beta) 4) alpha) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 (+.f64 beta beta) 4) alpha) 2)) (cbrt.f64 (/.f64 (+.f64 (+.f64 beta beta) 4) alpha)))
(*.f64 (/.f64 1 alpha) (+.f64 (+.f64 beta beta) 4))
(*.f64 (neg.f64 (+.f64 (+.f64 beta beta) 4)) (/.f64 1 (neg.f64 alpha)))
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 (+.f64 beta beta) 4) (sqrt.f64 alpha)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (+.f64 (+.f64 beta beta) 4) (cbrt.f64 alpha)))
(*.f64 (/.f64 (fma.f64 2 beta 2) (sqrt.f64 alpha)) (/.f64 (+.f64 2 beta) (sqrt.f64 alpha)))
(*.f64 (/.f64 (+.f64 2 beta) alpha) (fma.f64 2 beta 2))
(*.f64 (/.f64 (+.f64 2 beta) 1) (/.f64 (fma.f64 2 beta 2) alpha))
(*.f64 (/.f64 (+.f64 2 beta) (sqrt.f64 alpha)) (/.f64 (fma.f64 2 beta 2) (sqrt.f64 alpha)))
(*.f64 (/.f64 (+.f64 2 beta) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (fma.f64 2 beta 2) (cbrt.f64 alpha)))
(*.f64 (/.f64 (fma.f64 2 beta 2) 1) (/.f64 (+.f64 2 beta) alpha))
(*.f64 (/.f64 (fma.f64 2 beta 2) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (+.f64 2 beta) (cbrt.f64 alpha)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (+.f64 beta beta) 4)) 1) (/.f64 (sqrt.f64 (+.f64 (+.f64 beta beta) 4)) alpha))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (+.f64 beta beta) 4)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (+.f64 (+.f64 beta beta) 4)) (cbrt.f64 alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta beta) 4)) 2) 1) (/.f64 (cbrt.f64 (+.f64 (+.f64 beta beta) 4)) alpha))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta beta) 4)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (+.f64 (+.f64 beta beta) 4)) (sqrt.f64 alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta beta) 4)) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (+.f64 (+.f64 beta beta) 4) alpha)))
(pow.f64 (/.f64 (+.f64 (+.f64 beta beta) 4) alpha) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (+.f64 beta beta) 4) alpha)) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (+.f64 beta beta) 4) alpha)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 (+.f64 beta beta) 4) alpha) 3) 1/3)
(pow.f64 (/.f64 alpha (+.f64 (+.f64 beta beta) 4)) -1)
(neg.f64 (/.f64 (+.f64 (+.f64 beta beta) 4) (neg.f64 alpha)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 (+.f64 beta beta) 4) alpha) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 (+.f64 beta beta) 4) alpha)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (+.f64 beta beta) 4) alpha))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (+.f64 beta beta) 4) alpha) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (+.f64 beta beta) 4) 3) (pow.f64 alpha 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (+.f64 beta beta) 4) alpha)))
(exp.f64 (log.f64 (/.f64 (+.f64 (+.f64 beta beta) 4) alpha)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (+.f64 beta beta) 4) alpha)) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (+.f64 beta beta) 4) alpha)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 2 beta -2))) 1)
(-.f64 (/.f64 (*.f64 beta beta) 2) (/.f64 (pow.f64 (+.f64 beta -2) 2) 2))
(*.f64 (fma.f64 2 beta -2) 1)
(*.f64 1 (fma.f64 2 beta -2))
(*.f64 (sqrt.f64 (fma.f64 2 beta -2)) (sqrt.f64 (fma.f64 2 beta -2)))
(*.f64 (cbrt.f64 (fma.f64 2 beta -2)) (pow.f64 (cbrt.f64 (fma.f64 2 beta -2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta -2)) 2) (cbrt.f64 (fma.f64 2 beta -2)))
(*.f64 (*.f64 (fma.f64 2 beta -2) 2) 1/2)
(*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta -2) 3)) (/.f64 1 (fma.f64 beta beta (*.f64 (+.f64 beta -2) (-.f64 (+.f64 beta -2) beta)))))
(/.f64 1 (/.f64 2 (*.f64 (fma.f64 2 beta -2) 2)))
(/.f64 1 (/.f64 (fma.f64 beta beta (*.f64 (+.f64 beta -2) (-.f64 (+.f64 beta -2) beta))) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta -2) 3))))
(/.f64 (*.f64 (fma.f64 2 beta -2) 2) 2)
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta -2) 3)) (fma.f64 beta beta (*.f64 (+.f64 beta -2) (-.f64 (+.f64 beta -2) beta))))
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta -2) 3)) (+.f64 (pow.f64 (+.f64 beta -2) 2) (-.f64 (*.f64 beta beta) (*.f64 beta (+.f64 beta -2)))))
(/.f64 (-.f64 (+.f64 beta beta) 4) (-.f64 (+.f64 beta beta) -2))
(/.f64 (-.f64 (pow.f64 (+.f64 beta -2) 2) (*.f64 beta beta)) (-.f64 (+.f64 beta -2) beta))
(/.f64 (+.f64 (+.f64 beta beta) -8) (+.f64 (+.f64 beta beta) (-.f64 4 (*.f64 (+.f64 beta beta) -2))))
(/.f64 (neg.f64 (*.f64 (fma.f64 2 beta -2) 2)) -2)
(/.f64 (neg.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta -2) 3))) (neg.f64 (fma.f64 beta beta (*.f64 (+.f64 beta -2) (-.f64 (+.f64 beta -2) beta)))))
(pow.f64 (fma.f64 2 beta -2) 1)
(pow.f64 (sqrt.f64 (fma.f64 2 beta -2)) 2)
(pow.f64 (cbrt.f64 (fma.f64 2 beta -2)) 3)
(pow.f64 (pow.f64 (fma.f64 2 beta -2) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 2 beta -2) 2))
(log.f64 (exp.f64 (fma.f64 2 beta -2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 2 beta -2))))
(cbrt.f64 (pow.f64 (fma.f64 2 beta -2) 3))
(expm1.f64 (log1p.f64 (fma.f64 2 beta -2)))
(exp.f64 (log.f64 (fma.f64 2 beta -2)))
(exp.f64 (*.f64 (log.f64 (fma.f64 2 beta -2)) 1))
(log1p.f64 (expm1.f64 (fma.f64 2 beta -2)))
(fma.f64 2 beta -2)
(fma.f64 (+.f64 beta beta) (+.f64 beta beta) -2)
(fma.f64 1 beta (+.f64 beta -2))
(fma.f64 1 (+.f64 beta beta) -2)
(fma.f64 1 (+.f64 beta -2) beta)
(fma.f64 (sqrt.f64 (+.f64 beta -2)) (sqrt.f64 (+.f64 beta -2)) beta)
(fma.f64 (sqrt.f64 beta) (sqrt.f64 beta) (+.f64 beta -2))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 beta -2) 2)) (cbrt.f64 (+.f64 beta -2)) beta)
(fma.f64 (cbrt.f64 (*.f64 beta beta)) (cbrt.f64 beta) (+.f64 beta -2))
Outputs
(/.f64 (+.f64 4 (*.f64 -2 alpha)) (pow.f64 alpha 2))
(/.f64 (+.f64 4 (*.f64 -2 alpha)) (*.f64 alpha alpha))
(/.f64 (fma.f64 -2 alpha 4) (*.f64 alpha alpha))
(+.f64 (/.f64 -2 alpha) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (*.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))) beta)))
(+.f64 (/.f64 -2 alpha) (fma.f64 (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha)) beta (/.f64 4 (*.f64 alpha alpha))))
(+.f64 (/.f64 4 (*.f64 alpha alpha)) (+.f64 (/.f64 (fma.f64 2 beta -2) alpha) (*.f64 beta (/.f64 6 (*.f64 alpha alpha)))))
(+.f64 (/.f64 -2 alpha) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))) beta))))
(+.f64 (/.f64 -2 alpha) (fma.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (fma.f64 (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha)) beta (/.f64 4 (*.f64 alpha alpha)))))
(+.f64 (/.f64 -2 alpha) (fma.f64 2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha)) (fma.f64 (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha)) beta (/.f64 4 (*.f64 alpha alpha)))))
(+.f64 (fma.f64 (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha)) beta (/.f64 4 (*.f64 alpha alpha))) (*.f64 (/.f64 2 alpha) (+.f64 -1 (*.f64 (/.f64 beta alpha) beta))))
(+.f64 (/.f64 -2 alpha) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))) beta))))
(+.f64 (/.f64 -2 alpha) (fma.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (fma.f64 (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha)) beta (/.f64 4 (*.f64 alpha alpha)))))
(+.f64 (/.f64 -2 alpha) (fma.f64 2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha)) (fma.f64 (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha)) beta (/.f64 4 (*.f64 alpha alpha)))))
(+.f64 (fma.f64 (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha)) beta (/.f64 4 (*.f64 alpha alpha))) (*.f64 (/.f64 2 alpha) (+.f64 -1 (*.f64 (/.f64 beta alpha) beta))))
(*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(*.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))
(*.f64 2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha)))
(/.f64 2 (/.f64 (*.f64 alpha alpha) (*.f64 beta beta)))
(+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))) beta))
(fma.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (*.f64 (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha)) beta))
(fma.f64 (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha)) beta (*.f64 2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))))
(fma.f64 (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha)) beta (/.f64 2 (/.f64 (*.f64 alpha alpha) (*.f64 beta beta))))
(-.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (*.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))) beta) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (/.f64 -2 alpha) (fma.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (fma.f64 (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha)) beta (/.f64 4 (*.f64 alpha alpha)))))
(+.f64 (/.f64 -2 alpha) (fma.f64 2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha)) (fma.f64 (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha)) beta (/.f64 4 (*.f64 alpha alpha)))))
(+.f64 (fma.f64 (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha)) beta (/.f64 4 (*.f64 alpha alpha))) (*.f64 (/.f64 2 alpha) (+.f64 -1 (*.f64 (/.f64 beta alpha) beta))))
(-.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (*.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))) beta) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (/.f64 -2 alpha) (fma.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (fma.f64 (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha)) beta (/.f64 4 (*.f64 alpha alpha)))))
(+.f64 (/.f64 -2 alpha) (fma.f64 2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha)) (fma.f64 (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha)) beta (/.f64 4 (*.f64 alpha alpha)))))
(+.f64 (fma.f64 (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha)) beta (/.f64 4 (*.f64 alpha alpha))) (*.f64 (/.f64 2 alpha) (+.f64 -1 (*.f64 (/.f64 beta alpha) beta))))
(*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(*.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))
(*.f64 2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha)))
(/.f64 2 (/.f64 (*.f64 alpha alpha) (*.f64 beta beta)))
(+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))) beta))
(fma.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (*.f64 (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha)) beta))
(fma.f64 (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha)) beta (*.f64 2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))))
(fma.f64 (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha)) beta (/.f64 2 (/.f64 (*.f64 alpha alpha) (*.f64 beta beta))))
(-.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (*.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))) beta) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (/.f64 -2 alpha) (fma.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (fma.f64 (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha)) beta (/.f64 4 (*.f64 alpha alpha)))))
(+.f64 (/.f64 -2 alpha) (fma.f64 2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha)) (fma.f64 (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha)) beta (/.f64 4 (*.f64 alpha alpha)))))
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(fma.f64 (cbrt.f64 (pow.f64 (+.f64 -2 beta) 2)) (cbrt.f64 (+.f64 -2 beta)) beta)
(fma.f64 (cbrt.f64 (*.f64 beta beta)) (cbrt.f64 beta) (+.f64 beta -2))
(fma.f64 (cbrt.f64 (*.f64 beta beta)) (cbrt.f64 beta) (+.f64 -2 beta))

eval1.3s (9.5%)

Compiler

Compiled 60904 to 40046 computations (34.2% saved)

prune307.0ms (2.3%)

Pruning

22 alts after pruning (15 fresh and 7 done)

PrunedKeptTotal
New100151006
Fresh01010
Picked101
Done178
Total1003221025
Error
0.02%
Counts
1025 → 22
Alt Table
Click to see full alt table
StatusErrorProgram
28.76%
(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) 2)
67.79%
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
29.9%
(/.f64 (/.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (-.f64 beta alpha)) (*.f64 (/.f64 1 (+.f64 2 (+.f64 beta alpha))) (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))))))) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (/.f64 (-.f64 1 (*.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 alpha (+.f64 2 beta))) (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 alpha (+.f64 2 beta))))) (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))))) 2)
28.45%
(/.f64 (/.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (-.f64 beta alpha)) (*.f64 (/.f64 1 (+.f64 2 (+.f64 beta alpha))) (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))))))) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 2)
72.51%
(/.f64 (/.f64 2 alpha) 2)
74.01%
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
28.51%
(/.f64 (-.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) 2)
73.37%
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
50.17%
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
52.32%
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
72.59%
(/.f64 (+.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)))))) 2)
28.4%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
29.76%
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
73.64%
(/.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) 2)
43.52%
(/.f64 (+.f64 (*.f64 (*.f64 (/.f64 1 (+.f64 (+.f64 alpha 2) beta)) (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (/.f64 1 (+.f64 alpha beta))) 1) 2)
53.32%
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
70.36%
(/.f64 (+.f64 (*.f64 -1 (/.f64 2 (/.f64 beta alpha))) 2) 2)
84.11%
(/.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 -2 alpha)) (*.f64 alpha alpha))) 2)
68.94%
(/.f64 (*.f64 -1 (-.f64 (fma.f64 beta (-.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha)) (/.f64 4 (*.f64 alpha alpha))) (/.f64 2 alpha))) 2)
68.34%
(/.f64 (*.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (*.f64 2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))))) 2)
65.66%
(/.f64 2 2)
50.35%
(/.f64 1 2)
Compiler

Compiled 841 to 605 computations (28.1% saved)

localize19.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.02%
(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
28.77%
(fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1)
Compiler

Compiled 50 to 31 computations (38% saved)

series4.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite84.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1812×associate-*l/
1318×distribute-lft-in
606×associate-/r*
420×associate-/r/
346×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01252
126950
2366350
Stop Event
node limit
Counts
2 → 74
Calls
Call 1
Inputs
(fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1)
(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.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 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)))) (#(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 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) 1) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) 1) (+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))) (#(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 (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 egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (*.f64 (/.f64 1 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 (neg.f64 (+.f64 alpha 2)) 1 (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (*.f64 (/.f64 1 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 alpha 2)) (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (*.f64 (/.f64 1 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2) (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) beta) (*.f64 (/.f64 1 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (neg.f64 (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) beta) (*.f64 (/.f64 1 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (+.f64 (neg.f64 alpha) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) beta) (*.f64 (/.f64 1 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (neg.f64 (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) beta) (*.f64 (/.f64 1 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (*.f64 beta beta)) (*.f64 (/.f64 1 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))) (*.f64 (/.f64 1 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (*.f64 beta beta)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)) (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (-.f64 -2 (+.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 -2 (+.f64 beta alpha))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) -1) (pow.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))) (-.f64 (*.f64 (pow.f64 beta 3) (pow.f64 beta 3)) (*.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 (+.f64 alpha 2) 3)))) (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))) (+.f64 (pow.f64 (pow.f64 beta 3) 3) (pow.f64 (pow.f64 (+.f64 alpha 2) 3) 3))) (+.f64 (*.f64 (pow.f64 beta 3) (pow.f64 beta 3)) (-.f64 (*.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 (+.f64 alpha 2) 3)) (*.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))) (neg.f64 (-.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))) (neg.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))) (+.f64 alpha (-.f64 2 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) 4)) (+.f64 beta (+.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2) (sqrt.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))) (sqrt.f64 (-.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2) (sqrt.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))) (sqrt.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (neg.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))) (-.f64 beta (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (neg.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)) (cbrt.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))) (cbrt.f64 (-.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)) (cbrt.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))) (cbrt.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 beta (+.f64 alpha 2)) (-.f64 (*.f64 (*.f64 beta beta) (*.f64 beta beta)) (*.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 (+.f64 alpha 2) 2)))) (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 beta (+.f64 alpha 2)) (-.f64 (pow.f64 (*.f64 beta beta) 3) (pow.f64 (pow.f64 (+.f64 alpha 2) 2) 3))) (+.f64 (*.f64 (*.f64 beta beta) (*.f64 beta beta)) (+.f64 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 (+.f64 alpha 2) 2)) (*.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 beta (+.f64 alpha 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 1 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 beta (+.f64 alpha 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))))))

simplify102.0ms (0.8%)

Algorithm
egg-herbie
Rules
986×associate-*r/
946×associate-+l-
898×associate-+r-
780×associate-*l/
650×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04247058
113526678
251396670
Stop Event
node limit
Counts
122 → 236
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 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 -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 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))))))
2
(+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta))))
(+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))))
(+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))) (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)))))))))
2
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2)
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))
(+.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 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 beta 3))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(+.f64 1 (+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (+.f64 beta 2))) alpha) (/.f64 beta (+.f64 beta 2))))
(+.f64 1 (+.f64 (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)) (+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (+.f64 beta 2))) alpha) (/.f64 beta (+.f64 beta 2)))))
(+.f64 1 (+.f64 (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)) (+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (+.f64 beta 2))) alpha) (+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 4))) (/.f64 1 (pow.f64 (+.f64 beta 2) 3))) (pow.f64 alpha 3)) (/.f64 beta (+.f64 beta 2))))))
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.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 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (*.f64 2 (/.f64 1 alpha)))))))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4))) (+.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 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (*.f64 2 (/.f64 1 alpha)))))))))
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (+.f64 beta 2))) alpha))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (+.f64 beta 2))) alpha)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (+.f64 beta 2))) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 3)) (*.f64 -1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 3))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (+.f64 beta 2))) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 3)) (*.f64 -1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))))))
(/.f64 1 (+.f64 2 alpha))
(+.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (/.f64 1 (+.f64 2 alpha)))
(+.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (+.f64 2 alpha))))
(+.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (+.f64 2 alpha)))))
(/.f64 1 beta)
(+.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))))
(+.f64 (/.f64 1 beta) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 4))) (+.f64 (/.f64 1 beta) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3)))))
(/.f64 1 beta)
(+.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))))
(+.f64 (/.f64 1 beta) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 4))) (+.f64 (/.f64 1 beta) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3)))))
(/.f64 1 (+.f64 beta 2))
(+.f64 (/.f64 1 (+.f64 beta 2)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 beta 2) 2))))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 3)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 beta 2) 2)))))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 3)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 4))) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 beta 2) 2))))))
(/.f64 1 alpha)
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (/.f64 1 alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)) (/.f64 1 alpha)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)) (/.f64 1 alpha))))
(/.f64 1 alpha)
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (/.f64 1 alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)) (/.f64 1 alpha)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)) (/.f64 1 alpha))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 1)
(*.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)
(*.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))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.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 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) 1) (-.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)) 1) (+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 3)
(pow.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2))
(log.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(exp.f64 (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))))) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(+.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (*.f64 (/.f64 1 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 (neg.f64 (+.f64 alpha 2)) 1 (+.f64 alpha 2))))
(+.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (*.f64 (/.f64 1 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 alpha 2)) (+.f64 alpha 2))))
(+.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (*.f64 (/.f64 1 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2) (+.f64 alpha 2))))
(+.f64 (*.f64 (/.f64 1 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) beta) (*.f64 (/.f64 1 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (neg.f64 (+.f64 alpha 2))))
(+.f64 (*.f64 (/.f64 1 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) beta) (*.f64 (/.f64 1 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (+.f64 (neg.f64 alpha) -2)))
(+.f64 (*.f64 (/.f64 1 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) beta) (*.f64 (/.f64 1 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (neg.f64 (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 alpha 2)))))
(+.f64 (*.f64 (/.f64 1 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) beta) (*.f64 (/.f64 1 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (+.f64 alpha 2)))))
(+.f64 (*.f64 (/.f64 1 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (*.f64 beta beta)) (*.f64 (/.f64 1 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))))
(+.f64 (*.f64 (/.f64 1 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))) (*.f64 (/.f64 1 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (*.f64 beta beta)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))) 1)
(*.f64 1 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1)
(*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)) (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 -1 (/.f64 1 (-.f64 -2 (+.f64 beta alpha))))
(*.f64 (/.f64 1 (-.f64 -2 (+.f64 beta alpha))) -1)
(*.f64 (/.f64 1 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) -1) (pow.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) -1))
(*.f64 (/.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))) (-.f64 (*.f64 (pow.f64 beta 3) (pow.f64 beta 3)) (*.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 (+.f64 alpha 2) 3)))) (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))
(*.f64 (/.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))) (+.f64 (pow.f64 (pow.f64 beta 3) 3) (pow.f64 (pow.f64 (+.f64 alpha 2) 3) 3))) (+.f64 (*.f64 (pow.f64 beta 3) (pow.f64 beta 3)) (-.f64 (*.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 (+.f64 alpha 2) 3)) (*.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))))
(*.f64 (/.f64 1 (neg.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))) (neg.f64 (-.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 1 (neg.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))) (neg.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta))))))
(*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))) (+.f64 alpha (-.f64 2 beta)))
(*.f64 (/.f64 1 (-.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) 4)) (+.f64 beta (+.f64 alpha -2)))
(*.f64 (/.f64 1 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))))
(*.f64 (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2) (sqrt.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))) (sqrt.f64 (-.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2) (sqrt.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))) (sqrt.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta))))))
(*.f64 (/.f64 -1 (neg.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))) (-.f64 beta (+.f64 alpha 2)))
(*.f64 (/.f64 -1 (neg.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)) (cbrt.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))) (cbrt.f64 (-.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)) (cbrt.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))) (cbrt.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta))))))
(*.f64 (/.f64 (-.f64 beta (+.f64 alpha 2)) (-.f64 (*.f64 (*.f64 beta beta) (*.f64 beta beta)) (*.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 (+.f64 alpha 2) 2)))) (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))
(*.f64 (/.f64 (-.f64 beta (+.f64 alpha 2)) (-.f64 (pow.f64 (*.f64 beta beta) 3) (pow.f64 (pow.f64 (+.f64 alpha 2) 2) 3))) (+.f64 (*.f64 (*.f64 beta beta) (*.f64 beta beta)) (+.f64 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 (+.f64 alpha 2) 2)) (*.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))))
(pow.f64 (+.f64 beta (+.f64 alpha 2)) -1)
(pow.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1)
(pow.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 3)
(pow.f64 (/.f64 1 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3)) 1/3)
(sqrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))))
(cbrt.f64 (/.f64 1 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (*.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 beta (+.f64 alpha 2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
Outputs
(+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))))
(+.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))
(-.f64 1 (/.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))) (+.f64 1 (/.f64 (neg.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 alpha (+.f64 alpha 2))))
(+.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 -1 (/.f64 alpha (+.f64 2 alpha))))))
(fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (+.f64 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 (fma.f64 (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))) (*.f64 beta beta) (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1))
(+.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 (*.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))) (+.f64 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))) (fma.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 (fma.f64 (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))) (*.f64 beta beta) (fma.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3))) (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1))
2
(+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta))))
(fma.f64 -1 (/.f64 alpha beta) (+.f64 2 (/.f64 (+.f64 (neg.f64 alpha) -2) beta)))
(-.f64 (+.f64 2 (/.f64 (-.f64 -2 alpha) beta)) (/.f64 alpha beta))
(+.f64 (/.f64 (-.f64 -2 alpha) beta) (-.f64 2 (/.f64 alpha beta)))
(+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))))
(fma.f64 -1 (/.f64 alpha beta) (+.f64 2 (fma.f64 -1 (/.f64 (+.f64 alpha 2) beta) (+.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))))))
(+.f64 (-.f64 (+.f64 2 (/.f64 (-.f64 -2 alpha) beta)) (/.f64 alpha beta)) (+.f64 (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))))
(+.f64 2 (-.f64 (+.f64 (/.f64 (-.f64 -2 alpha) beta) (+.f64 (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))) (/.f64 alpha beta)))
(+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))) (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)))))))))
(fma.f64 -1 (/.f64 alpha beta) (+.f64 2 (fma.f64 -1 (/.f64 (+.f64 alpha 2) beta) (+.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)) (+.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (neg.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) alpha)))))))))
(+.f64 (-.f64 (+.f64 2 (/.f64 (-.f64 -2 alpha) beta)) (/.f64 alpha beta)) (+.f64 (-.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (*.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3)) alpha)) (-.f64 (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)))))
(+.f64 (+.f64 (-.f64 (+.f64 (/.f64 (-.f64 -2 alpha) beta) (-.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (*.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3)) alpha))) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))) (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta))) (-.f64 2 (/.f64 alpha beta)))
2
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2)
(fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2)
(-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2) (+.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))))
(+.f64 (+.f64 (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))) (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)))
(+.f64 (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta)) (-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) 2) (/.f64 (fma.f64 alpha 2 2) beta)))
(+.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 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 beta 3))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2) (+.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)) (fma.f64 -1 (/.f64 (fma.f64 (pow.f64 (+.f64 alpha 2) 2) alpha (pow.f64 (+.f64 alpha 2) 3)) (pow.f64 beta 3)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))))
(+.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) (+.f64 (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta)) (-.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (/.f64 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha (+.f64 alpha 2))) (pow.f64 beta 3)))))
(+.f64 (-.f64 (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta)) (/.f64 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha (+.f64 alpha 2))) (pow.f64 beta 3))) (-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) 2) (/.f64 (fma.f64 alpha 2 2) beta)))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(+.f64 1 (/.f64 beta (+.f64 2 beta)))
(+.f64 1 (+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (+.f64 beta 2))) alpha) (/.f64 beta (+.f64 beta 2))))
(+.f64 1 (fma.f64 (-.f64 (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (+.f64 2 beta))) alpha (/.f64 beta (+.f64 2 beta))))
(+.f64 1 (fma.f64 alpha (fma.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 -1 (+.f64 2 beta))) (/.f64 beta (+.f64 2 beta))))
(+.f64 1 (+.f64 (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)) (+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (+.f64 beta 2))) alpha) (/.f64 beta (+.f64 beta 2)))))
(+.f64 1 (fma.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 3)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))) (*.f64 alpha alpha) (fma.f64 (-.f64 (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (+.f64 2 beta))) alpha (/.f64 beta (+.f64 2 beta)))))
(+.f64 1 (fma.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 3)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))) (*.f64 alpha alpha) (fma.f64 alpha (fma.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 -1 (+.f64 2 beta))) (/.f64 beta (+.f64 2 beta)))))
(+.f64 1 (+.f64 (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)) (+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (+.f64 beta 2))) alpha) (+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 4))) (/.f64 1 (pow.f64 (+.f64 beta 2) 3))) (pow.f64 alpha 3)) (/.f64 beta (+.f64 beta 2))))))
(+.f64 1 (fma.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 3)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))) (*.f64 alpha alpha) (fma.f64 (-.f64 (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (+.f64 2 beta))) alpha (fma.f64 (-.f64 (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 4)) (/.f64 1 (pow.f64 (+.f64 2 beta) 3))) (pow.f64 alpha 3) (/.f64 beta (+.f64 2 beta))))))
(+.f64 1 (fma.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 3)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))) (*.f64 alpha alpha) (fma.f64 alpha (fma.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 -1 (+.f64 2 beta))) (fma.f64 (fma.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 4)) (/.f64 -1 (pow.f64 (+.f64 2 beta) 3))) (pow.f64 alpha 3) (/.f64 beta (+.f64 2 beta))))))
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (fma.f64 2 beta 2) alpha)
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.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)))))
(fma.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) (*.f64 alpha alpha)) (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 (-.f64 -2 beta) beta) (*.f64 alpha alpha)) (fma.f64 2 (/.f64 beta alpha) (-.f64 (/.f64 2 alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)))))
(+.f64 (/.f64 (-.f64 -2 beta) (/.f64 (*.f64 alpha alpha) beta)) (fma.f64 2 (/.f64 beta alpha) (-.f64 (/.f64 2 alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)))))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (*.f64 2 (/.f64 1 alpha)))))))
(+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (fma.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) (*.f64 alpha alpha)) (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (+.f64 (/.f64 2 alpha) (/.f64 beta (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2))))))))
(+.f64 (+.f64 (fma.f64 2 (/.f64 beta alpha) (-.f64 (/.f64 2 alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)))) (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2))) (+.f64 (/.f64 (*.f64 (-.f64 -2 beta) beta) (*.f64 alpha alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3))))
(+.f64 (+.f64 (fma.f64 2 (/.f64 beta alpha) (-.f64 (/.f64 2 alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)))) (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2))) (+.f64 (/.f64 (-.f64 -2 beta) (/.f64 (*.f64 alpha alpha) beta)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3))))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4))) (+.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 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (*.f64 2 (/.f64 1 alpha)))))))))
(+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (fma.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) (*.f64 alpha alpha)) (fma.f64 -1 (/.f64 beta (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 2 beta) 3))) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 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 (/.f64 2 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)) (+.f64 (-.f64 (+.f64 (fma.f64 2 (/.f64 beta alpha) (-.f64 (/.f64 2 alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)))) (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2))) (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4))) (-.f64 (/.f64 (*.f64 (-.f64 -2 beta) beta) (*.f64 alpha alpha)) (*.f64 (/.f64 beta (pow.f64 alpha 4)) (pow.f64 (+.f64 2 beta) 3)))))
(+.f64 (/.f64 (-.f64 -2 beta) (/.f64 (*.f64 alpha alpha) beta)) (-.f64 (+.f64 (fma.f64 2 (/.f64 beta alpha) (-.f64 (/.f64 2 alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)))) (-.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4)))) (-.f64 (*.f64 (/.f64 beta (pow.f64 alpha 4)) (pow.f64 (+.f64 2 beta) 3)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)))))
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (+.f64 beta 2))) alpha))
(neg.f64 (/.f64 (*.f64 -1 (+.f64 beta (+.f64 2 beta))) alpha))
(/.f64 (neg.f64 (-.f64 (-.f64 -2 beta) beta)) alpha)
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (+.f64 beta 2))) alpha)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))))
(fma.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) (*.f64 alpha alpha)) (*.f64 -1 (+.f64 (/.f64 (*.f64 -1 (+.f64 beta (+.f64 2 beta))) alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)))))
(-.f64 (-.f64 (/.f64 (*.f64 (-.f64 -2 beta) beta) (*.f64 alpha alpha)) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)))
(-.f64 (/.f64 (-.f64 -2 beta) (/.f64 (*.f64 alpha alpha) beta)) (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (+.f64 beta 2))) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 3)) (*.f64 -1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 3))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))))
(fma.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) (*.f64 alpha alpha)) (fma.f64 -1 (/.f64 (*.f64 -1 (+.f64 beta (+.f64 2 beta))) alpha) (*.f64 -1 (+.f64 (/.f64 (*.f64 -1 (+.f64 (pow.f64 (+.f64 2 beta) 3) (*.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (pow.f64 alpha 3)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))))))
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(-.f64 (-.f64 (/.f64 (-.f64 -2 beta) (/.f64 (*.f64 alpha alpha) beta)) (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha))) (/.f64 (neg.f64 (*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta (+.f64 2 beta)))) (pow.f64 alpha 3)))
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(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
(/.f64 1 (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2) 2)
(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
(/.f64 1 (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 3)
(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
(/.f64 1 (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (/.f64 1 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3)) 1/3)
(cbrt.f64 (/.f64 1 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3)))
(cbrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 3)))
(sqrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))
(sqrt.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
(/.f64 1 (+.f64 alpha (+.f64 2 beta)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))))
(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
(/.f64 1 (+.f64 alpha (+.f64 2 beta)))
(cbrt.f64 (/.f64 1 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3)))
(cbrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
(/.f64 1 (+.f64 alpha (+.f64 2 beta)))
(exp.f64 (neg.f64 (log.f64 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
(/.f64 1 (+.f64 alpha (+.f64 2 beta)))
(exp.f64 (*.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))) -1))
(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
(/.f64 1 (+.f64 alpha (+.f64 2 beta)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 beta (+.f64 alpha 2)))) 1))
(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
(/.f64 1 (+.f64 alpha (+.f64 2 beta)))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
(/.f64 1 (+.f64 alpha (+.f64 2 beta)))

localize5.0ms (0%)

Compiler

Compiled 12 to 9 computations (25% saved)

localize10.0ms (0.1%)

Compiler

Compiled 19 to 15 computations (21.1% saved)

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.01%
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))
0.39%
(/.f64 4 (*.f64 alpha alpha))
Compiler

Compiled 36 to 21 computations (41.7% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite93.0ms (0.7%)

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))))))

simplify169.0ms (1.2%)

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)))
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(/.f64 (*.f64 (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 3) (-.f64 1 (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 3))) (*.f64 (+.f64 (/.f64 16 (pow.f64 alpha 4)) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 (/.f64 4 alpha) alpha))) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 3))))
(/.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (pow.f64 (*.f64 (pow.f64 alpha -2) -4) 3)) (+.f64 (/.f64 (/.f64 4 alpha) alpha) (-.f64 (neg.f64 (/.f64 -16 (pow.f64 alpha 4))) (neg.f64 (/.f64 8 (pow.f64 alpha 3))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 3) (pow.f64 (/.f64 16 (pow.f64 alpha 4)) 3)) (*.f64 (+.f64 (/.f64 (/.f64 4 alpha) alpha) (/.f64 2 alpha)) (+.f64 (/.f64 16 (pow.f64 alpha 4)) (*.f64 (/.f64 16 (pow.f64 alpha 4)) (+.f64 (/.f64 (/.f64 4 alpha) alpha) (/.f64 16 (pow.f64 alpha 4)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 alpha (*.f64 alpha 2)) 3) (pow.f64 (*.f64 4 alpha) 3)) (*.f64 (pow.f64 alpha 3) (+.f64 (*.f64 (*.f64 alpha (*.f64 alpha 2)) (*.f64 alpha (*.f64 alpha 2))) (*.f64 (*.f64 4 alpha) (*.f64 alpha (+.f64 (*.f64 alpha 2) 4))))))
(/.f64 (-.f64 (pow.f64 (/.f64 8 (pow.f64 alpha 3)) 3) (pow.f64 (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 3) 3)) (*.f64 (+.f64 (/.f64 16 (pow.f64 alpha 4)) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 (/.f64 4 alpha) alpha))) (+.f64 (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 3) (*.f64 (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 3) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 3))))))
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)
(/.f64 (-.f64 (*.f64 2 (*.f64 (/.f64 alpha 4) alpha)) alpha) (*.f64 alpha (*.f64 (/.f64 alpha 4) alpha)))
(/.f64 (-.f64 (*.f64 alpha 2) (*.f64 alpha (/.f64 4 alpha))) (*.f64 alpha alpha))
(/.f64 (-.f64 (*.f64 2 (*.f64 alpha (neg.f64 alpha))) (*.f64 alpha -4)) (neg.f64 (pow.f64 alpha 3)))
(/.f64 (-.f64 (*.f64 alpha alpha) (*.f64 4 (*.f64 alpha 1/2))) (*.f64 (*.f64 alpha alpha) (*.f64 alpha 1/2)))
(/.f64 (-.f64 (*.f64 (/.f64 alpha 4) alpha) (*.f64 alpha 1/2)) (*.f64 (*.f64 (/.f64 alpha 4) alpha) (*.f64 alpha 1/2)))
(/.f64 (-.f64 alpha (*.f64 (/.f64 4 alpha) (*.f64 alpha 1/2))) (*.f64 alpha (*.f64 alpha 1/2)))
(/.f64 (-.f64 (*.f64 alpha (neg.f64 alpha)) (*.f64 (*.f64 alpha 1/2) -4)) (*.f64 (*.f64 alpha 1/2) (*.f64 alpha (neg.f64 alpha))))
(/.f64 (-.f64 (*.f64 (*.f64 alpha alpha) -2) (*.f64 alpha -4)) (neg.f64 (pow.f64 alpha 3)))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 alpha 4) alpha) -2) (neg.f64 alpha)) (*.f64 (*.f64 (/.f64 alpha 4) alpha) (neg.f64 alpha)))
(/.f64 (-.f64 (*.f64 alpha -2) (*.f64 (/.f64 4 alpha) (neg.f64 alpha))) (*.f64 alpha (neg.f64 alpha)))
(/.f64 (-.f64 (*.f64 (*.f64 alpha (neg.f64 alpha)) -2) (*.f64 -4 (neg.f64 alpha))) (neg.f64 (neg.f64 (pow.f64 alpha 3))))
(/.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))
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(/.f64 (/.f64 (-.f64 (*.f64 alpha 2) (*.f64 alpha (/.f64 4 alpha))) alpha) alpha)
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)
(/.f64 (/.f64 (-.f64 (*.f64 alpha 2) (*.f64 alpha (/.f64 4 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 alpha (/.f64 4 alpha))) (sqrt.f64 alpha)) (*.f64 alpha (sqrt.f64 alpha)))
(/.f64 (*.f64 alpha (fma.f64 alpha 2 -4)) (*.f64 (*.f64 alpha (*.f64 alpha (sqrt.f64 alpha))) (sqrt.f64 alpha)))
(/.f64 (+.f64 2 (/.f64 -4 alpha)) (*.f64 (sqrt.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 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 alpha (/.f64 4 alpha))) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (pow.f64 alpha 4)))
(/.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 alpha (/.f64 4 alpha))) (pow.f64 (cbrt.f64 alpha) 2)) (*.f64 alpha (cbrt.f64 alpha)))
(/.f64 (*.f64 alpha (fma.f64 alpha 2 -4)) (*.f64 (*.f64 alpha (*.f64 alpha (cbrt.f64 alpha))) (pow.f64 (cbrt.f64 alpha) 2)))
(/.f64 (+.f64 2 (/.f64 -4 alpha)) (*.f64 (cbrt.f64 alpha) (pow.f64 (cbrt.f64 alpha) 2)))
(/.f64 (/.f64 (-.f64 (*.f64 alpha 2) (*.f64 alpha (/.f64 4 alpha))) (*.f64 alpha (sqrt.f64 alpha))) (sqrt.f64 alpha))
(/.f64 (*.f64 alpha (fma.f64 alpha 2 -4)) (*.f64 (*.f64 alpha (*.f64 alpha (sqrt.f64 alpha))) (sqrt.f64 alpha)))
(/.f64 (+.f64 2 (/.f64 -4 alpha)) (*.f64 (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 alpha (fma.f64 alpha 2 -4)) (*.f64 (*.f64 alpha (*.f64 alpha (cbrt.f64 alpha))) (pow.f64 (cbrt.f64 alpha) 2)))
(/.f64 (+.f64 2 (/.f64 -4 alpha)) (*.f64 (cbrt.f64 alpha) (pow.f64 (cbrt.f64 alpha) 2)))
(/.f64 (/.f64 (-.f64 (*.f64 2 (*.f64 alpha (neg.f64 alpha))) (*.f64 alpha -4)) alpha) (*.f64 alpha (neg.f64 alpha)))
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)
(/.f64 (/.f64 (-.f64 (*.f64 alpha alpha) (*.f64 4 (*.f64 alpha 1/2))) (*.f64 alpha 1/2)) (*.f64 alpha alpha))
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)
(/.f64 (+.f64 2 (/.f64 -4 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 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 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)))

localize37.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
3.9%
(-.f64 (*.f64 beta beta) (*.f64 alpha alpha))
8.14%
(+.f64 (*.f64 (*.f64 (/.f64 1 (+.f64 (+.f64 alpha 2) beta)) (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (/.f64 1 (+.f64 alpha beta))) 1)
11.27%
(*.f64 (*.f64 (/.f64 1 (+.f64 (+.f64 alpha 2) beta)) (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (/.f64 1 (+.f64 alpha beta)))
27.86%
(*.f64 (/.f64 1 (+.f64 (+.f64 alpha 2) beta)) (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)))
Compiler

Compiled 126 to 59 computations (53.2% saved)

series14.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

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

rewrite155.0ms (1.1%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
017160
1408112
26194112
Stop Event
node limit
Counts
4 → 238
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (+.f64 (+.f64 alpha 2) beta)) (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)))
(*.f64 (*.f64 (/.f64 1 (+.f64 (+.f64 alpha 2) beta)) (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (/.f64 1 (+.f64 alpha beta)))
(+.f64 (*.f64 (*.f64 (/.f64 1 (+.f64 (+.f64 alpha 2) beta)) (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (/.f64 1 (+.f64 alpha beta))) 1)
(-.f64 (*.f64 beta beta) (*.f64 alpha alpha))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) (*.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta))) (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) (*.f64 (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha)) (/.f64 1 (+.f64 2 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) (+.f64 (*.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta))) (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha))) (*.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta))) (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) (+.f64 (*.f64 (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha)) (/.f64 1 (+.f64 2 (+.f64 alpha beta)))) (*.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta))) (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) (+.f64 (*.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta))) (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha))) (*.f64 (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha)) (/.f64 1 (+.f64 2 (+.f64 alpha beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) (+.f64 (*.f64 (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha)) (/.f64 1 (+.f64 2 (+.f64 alpha beta)))) (*.f64 (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha)) (/.f64 1 (+.f64 2 (+.f64 alpha beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta))) (*.f64 beta beta)) (*.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta))) (*.f64 alpha (neg.f64 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta))) (*.f64 beta beta)) (+.f64 (*.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta))) (*.f64 alpha (neg.f64 alpha))) (*.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta))) (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta))) (*.f64 beta beta)) (+.f64 (*.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta))) (*.f64 alpha (neg.f64 alpha))) (*.f64 (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha)) (/.f64 1 (+.f64 2 (+.f64 alpha beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta))) (*.f64 alpha (neg.f64 alpha))) (*.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta))) (*.f64 beta beta)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta))) (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha))) (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 beta beta) (*.f64 alpha (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 beta beta (*.f64 alpha (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 alpha beta) (-.f64 beta alpha) (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (sqrt.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) 2) (cbrt.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 beta 4)) (pow.f64 (cbrt.f64 beta) 2) (*.f64 alpha (neg.f64 alpha)))))))

simplify174.0ms (1.3%)

Algorithm
egg-herbie
Rules
1334×+-commutative
1202×associate-*r*
970×associate-+r+
924×associate-*l*
840×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
096621842
1326521208
Stop Event
node limit
Counts
334 → 520
Calls
Call 1
Inputs
(/.f64 (pow.f64 beta 2) (+.f64 beta 2))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (pow.f64 beta 2) (+.f64 beta 2)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (pow.f64 beta 2) (+.f64 beta 2))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 3)) (+.f64 beta 2)) (/.f64 (pow.f64 beta 2) (+.f64 beta 2)))))
(*.f64 -1 alpha)
(+.f64 beta (+.f64 2 (*.f64 -1 alpha)))
(-.f64 (+.f64 beta (+.f64 2 (+.f64 (*.f64 -1 alpha) (/.f64 (pow.f64 beta 2) alpha)))) (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha))
(-.f64 (+.f64 beta (+.f64 2 (+.f64 (*.f64 -1 alpha) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 2) (-.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) alpha))))) (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha))
(*.f64 -1 alpha)
(+.f64 beta (+.f64 2 (*.f64 -1 alpha)))
(+.f64 beta (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (pow.f64 beta 2)) (*.f64 -1 (pow.f64 (+.f64 beta 2) 2))) alpha)) (*.f64 -1 alpha))))
(+.f64 beta (+.f64 2 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (pow.f64 beta 2)) (*.f64 -1 (pow.f64 (+.f64 beta 2) 2))) (+.f64 beta 2)) (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (pow.f64 beta 2)) (*.f64 -1 (pow.f64 (+.f64 beta 2) 2))) alpha)) (*.f64 -1 alpha)))))
(*.f64 -1 (/.f64 (pow.f64 alpha 2) (+.f64 2 alpha)))
(+.f64 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -1 (/.f64 (pow.f64 alpha 2) (+.f64 2 alpha))))
(+.f64 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 3)))) (*.f64 -1 (/.f64 (pow.f64 alpha 2) (+.f64 2 alpha)))))
(+.f64 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 3)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (+.f64 2 alpha))) (*.f64 (pow.f64 beta 3) (-.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))))
beta
(+.f64 beta (*.f64 -1 (+.f64 2 alpha)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) beta)) (+.f64 beta (*.f64 -1 (+.f64 2 alpha)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) beta)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) beta)) (+.f64 beta (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 (pow.f64 alpha 2)) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 2 alpha)) (pow.f64 beta 2))) (*.f64 -1 (+.f64 2 alpha))))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) beta)))
beta
(+.f64 beta (*.f64 -1 (+.f64 2 alpha)))
(+.f64 beta (+.f64 (*.f64 -1 (/.f64 (-.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) beta)) (*.f64 -1 (+.f64 2 alpha))))
(+.f64 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 beta 2)) (+.f64 beta (+.f64 (*.f64 -1 (/.f64 (-.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) beta)) (*.f64 -1 (+.f64 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 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 (*.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))))
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(+.f64 1 (/.f64 beta (+.f64 beta 2)))
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(/.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))))))
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(-.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))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (+.f64 beta 2))) 2) (pow.f64 alpha 2))) (+.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 beta (+.f64 beta 2)) (pow.f64 alpha 2)))))
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(-.f64 (+.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 (pow.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (+.f64 beta 2))) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (*.f64 (+.f64 (*.f64 -1 (pow.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (+.f64 beta 2))) 2)) (*.f64 beta (+.f64 beta 2))) (+.f64 beta 2))) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (+.f64 beta 2))) alpha)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -1 (*.f64 beta (*.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2)))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (+.f64 beta 2))) (+.f64 (*.f64 -1 (pow.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (+.f64 beta 2))) 2)) (*.f64 beta (+.f64 beta 2)))))) (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1 beta) (*.f64 -1 (+.f64 beta 2))))) (pow.f64 alpha 3))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (+.f64 beta 2))) (+.f64 (*.f64 -1 (*.f64 beta (*.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2)))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (+.f64 beta 2))) (+.f64 (*.f64 -1 (pow.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (+.f64 beta 2))) 2)) (*.f64 beta (+.f64 beta 2))))))) (pow.f64 alpha 4))))))))) (+.f64 (/.f64 (*.f64 (pow.f64 beta 3) (+.f64 beta 2)) (pow.f64 alpha 4)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 2) (pow.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (+.f64 beta 2))) 2)) (pow.f64 alpha 4)))))
(-.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 (pow.f64 alpha 2))
(+.f64 (pow.f64 beta 2) (*.f64 -1 (pow.f64 alpha 2)))
(+.f64 (pow.f64 beta 2) (*.f64 -1 (pow.f64 alpha 2)))
(+.f64 (pow.f64 beta 2) (*.f64 -1 (pow.f64 alpha 2)))
(pow.f64 beta 2)
(+.f64 (pow.f64 beta 2) (*.f64 -1 (pow.f64 alpha 2)))
(+.f64 (pow.f64 beta 2) (*.f64 -1 (pow.f64 alpha 2)))
(+.f64 (pow.f64 beta 2) (*.f64 -1 (pow.f64 alpha 2)))
(pow.f64 beta 2)
(+.f64 (pow.f64 beta 2) (*.f64 -1 (pow.f64 alpha 2)))
(+.f64 (pow.f64 beta 2) (*.f64 -1 (pow.f64 alpha 2)))
(+.f64 (pow.f64 beta 2) (*.f64 -1 (pow.f64 alpha 2)))
(pow.f64 beta 2)
(+.f64 (pow.f64 beta 2) (*.f64 -1 (pow.f64 alpha 2)))
(+.f64 (pow.f64 beta 2) (*.f64 -1 (pow.f64 alpha 2)))
(+.f64 (pow.f64 beta 2) (*.f64 -1 (pow.f64 alpha 2)))
(*.f64 -1 (pow.f64 alpha 2))
(+.f64 (pow.f64 beta 2) (*.f64 -1 (pow.f64 alpha 2)))
(+.f64 (pow.f64 beta 2) (*.f64 -1 (pow.f64 alpha 2)))
(+.f64 (pow.f64 beta 2) (*.f64 -1 (pow.f64 alpha 2)))
(*.f64 -1 (pow.f64 alpha 2))
(+.f64 (pow.f64 beta 2) (*.f64 -1 (pow.f64 alpha 2)))
(+.f64 (pow.f64 beta 2) (*.f64 -1 (pow.f64 alpha 2)))
(+.f64 (pow.f64 beta 2) (*.f64 -1 (pow.f64 alpha 2)))
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(+.f64 (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) (+.f64 (*.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta))) (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha))) (*.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta))) (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha)))))
(+.f64 (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) (+.f64 (*.f64 (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha)) (/.f64 1 (+.f64 2 (+.f64 alpha beta)))) (*.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta))) (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha)))))
(+.f64 (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) (+.f64 (*.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta))) (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha))) (*.f64 (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha)) (/.f64 1 (+.f64 2 (+.f64 alpha beta))))))
(+.f64 (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) (+.f64 (*.f64 (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha)) (/.f64 1 (+.f64 2 (+.f64 alpha beta)))) (*.f64 (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha)) (/.f64 1 (+.f64 2 (+.f64 alpha beta))))))
(+.f64 (*.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta))) (*.f64 beta beta)) (*.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta))) (*.f64 alpha (neg.f64 alpha))))
(+.f64 (*.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta))) (*.f64 beta beta)) (+.f64 (*.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta))) (*.f64 alpha (neg.f64 alpha))) (*.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta))) (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha)))))
(+.f64 (*.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta))) (*.f64 beta beta)) (+.f64 (*.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta))) (*.f64 alpha (neg.f64 alpha))) (*.f64 (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha)) (/.f64 1 (+.f64 2 (+.f64 alpha beta))))))
(+.f64 (*.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta))) (*.f64 alpha (neg.f64 alpha))) (*.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta))) (*.f64 beta beta)))
(+.f64 (*.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta))) (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha))) (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))))
(+.f64 (*.f64 (*.f64 beta beta) (/.f64 1 (+.f64 2 (+.f64 alpha beta)))) (*.f64 (*.f64 alpha (neg.f64 alpha)) (/.f64 1 (+.f64 2 (+.f64 alpha beta)))))
(+.f64 (*.f64 (*.f64 beta beta) (/.f64 1 (+.f64 2 (+.f64 alpha beta)))) (+.f64 (*.f64 (*.f64 alpha (neg.f64 alpha)) (/.f64 1 (+.f64 2 (+.f64 alpha beta)))) (*.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta))) (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha)))))
(+.f64 (*.f64 (*.f64 beta beta) (/.f64 1 (+.f64 2 (+.f64 alpha beta)))) (+.f64 (*.f64 (*.f64 alpha (neg.f64 alpha)) (/.f64 1 (+.f64 2 (+.f64 alpha beta)))) (*.f64 (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha)) (/.f64 1 (+.f64 2 (+.f64 alpha beta))))))
(+.f64 (*.f64 (*.f64 alpha (neg.f64 alpha)) (/.f64 1 (+.f64 2 (+.f64 alpha beta)))) (*.f64 (*.f64 beta beta) (/.f64 1 (+.f64 2 (+.f64 alpha beta)))))
(+.f64 (*.f64 (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha)) (/.f64 1 (+.f64 2 (+.f64 alpha beta)))) (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))))
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(+.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (fma.f64 (*.f64 alpha (neg.f64 alpha)) 1 (*.f64 alpha alpha)))
(+.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (pow.f64 alpha 4)) (*.f64 alpha alpha)))
(+.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (+.f64 (+.f64 (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha)) (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha))) (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha))))
(+.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (+.f64 (*.f64 (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha)) 1) (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha))))
(+.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (+.f64 (fma.f64 (*.f64 alpha (neg.f64 alpha)) 1 (*.f64 alpha alpha)) (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha))))
(+.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (+.f64 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (pow.f64 alpha 4)) (*.f64 alpha alpha)) (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha))))
(+.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (+.f64 (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha)) (+.f64 (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha)) (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha)))))
(+.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (+.f64 (+.f64 (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha)) (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha))) (+.f64 (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha)) (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha)))))
(+.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (+.f64 (*.f64 (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha)) 1) (+.f64 (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha)) (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha)))))
(+.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (+.f64 (fma.f64 (*.f64 alpha (neg.f64 alpha)) 1 (*.f64 alpha alpha)) (+.f64 (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha)) (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha)))))
(+.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (+.f64 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (pow.f64 alpha 4)) (*.f64 alpha alpha)) (+.f64 (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha)) (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha)))))
(+.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (+.f64 (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha)) (*.f64 (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha)) 1)))
(+.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (+.f64 (+.f64 (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha)) (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha))) (*.f64 (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha)) 1)))
(+.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (+.f64 (*.f64 (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha)) 1) (*.f64 (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha)) 1)))
(+.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (+.f64 (fma.f64 (*.f64 alpha (neg.f64 alpha)) 1 (*.f64 alpha alpha)) (*.f64 (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha)) 1)))
(+.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (+.f64 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (pow.f64 alpha 4)) (*.f64 alpha alpha)) (*.f64 (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha)) 1)))
(+.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (+.f64 (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha)) (fma.f64 (*.f64 alpha (neg.f64 alpha)) 1 (*.f64 alpha alpha))))
(+.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (+.f64 (+.f64 (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha)) (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha))) (fma.f64 (*.f64 alpha (neg.f64 alpha)) 1 (*.f64 alpha alpha))))
(+.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (+.f64 (*.f64 (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha)) 1) (fma.f64 (*.f64 alpha (neg.f64 alpha)) 1 (*.f64 alpha alpha))))
(+.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (+.f64 (fma.f64 (*.f64 alpha (neg.f64 alpha)) 1 (*.f64 alpha alpha)) (fma.f64 (*.f64 alpha (neg.f64 alpha)) 1 (*.f64 alpha alpha))))
(+.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (+.f64 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (pow.f64 alpha 4)) (*.f64 alpha alpha)) (fma.f64 (*.f64 alpha (neg.f64 alpha)) 1 (*.f64 alpha alpha))))
(+.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (+.f64 (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (pow.f64 alpha 4)) (*.f64 alpha alpha))))
(+.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (+.f64 (+.f64 (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha)) (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (pow.f64 alpha 4)) (*.f64 alpha alpha))))
(+.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (+.f64 (*.f64 (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha)) 1) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (pow.f64 alpha 4)) (*.f64 alpha alpha))))
(+.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (+.f64 (fma.f64 (*.f64 alpha (neg.f64 alpha)) 1 (*.f64 alpha alpha)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (pow.f64 alpha 4)) (*.f64 alpha alpha))))
(+.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (+.f64 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (pow.f64 alpha 4)) (*.f64 alpha alpha)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (pow.f64 alpha 4)) (*.f64 alpha alpha))))
(+.f64 (*.f64 alpha (neg.f64 alpha)) (*.f64 beta beta))
(+.f64 (*.f64 alpha (neg.f64 alpha)) (+.f64 (*.f64 beta beta) (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha))))
(+.f64 (*.f64 alpha (neg.f64 alpha)) (+.f64 (*.f64 beta beta) (+.f64 (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha)) (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha)))))
(+.f64 (*.f64 alpha (neg.f64 alpha)) (+.f64 (*.f64 beta beta) (*.f64 (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha)) 1)))
(+.f64 (*.f64 alpha (neg.f64 alpha)) (+.f64 (*.f64 beta beta) (fma.f64 (*.f64 alpha (neg.f64 alpha)) 1 (*.f64 alpha alpha))))
(+.f64 (*.f64 alpha (neg.f64 alpha)) (+.f64 (*.f64 beta beta) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (pow.f64 alpha 4)) (*.f64 alpha alpha))))
(+.f64 (*.f64 alpha (neg.f64 alpha)) (+.f64 (*.f64 alpha alpha) (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))))
(+.f64 (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha)) (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)))
(+.f64 (+.f64 (*.f64 alpha (neg.f64 alpha)) (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha))) (*.f64 beta beta))
(+.f64 (+.f64 (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha)) (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha))) (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)))
(+.f64 (*.f64 (*.f64 alpha (neg.f64 alpha)) 1) (*.f64 beta beta))
(+.f64 (*.f64 (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha)) 1) (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)))
(+.f64 (fma.f64 (*.f64 alpha (neg.f64 alpha)) 1 (*.f64 alpha alpha)) (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)))
(+.f64 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (pow.f64 alpha 4)) (*.f64 alpha alpha)) (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)))
(+.f64 (+.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (*.f64 alpha (neg.f64 alpha))) (*.f64 alpha alpha))
(+.f64 (+.f64 (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha)) (*.f64 beta beta)) (*.f64 alpha (neg.f64 alpha)))
(+.f64 (+.f64 (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha)) (*.f64 beta beta)) (+.f64 (*.f64 alpha (neg.f64 alpha)) (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha))))
(+.f64 (+.f64 (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha)) (*.f64 beta beta)) (*.f64 (*.f64 alpha (neg.f64 alpha)) 1))
(+.f64 (-.f64 (*.f64 beta beta) (exp.f64 (log1p.f64 (*.f64 alpha alpha)))) 1)
(*.f64 1 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)))
(*.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) 1)
(*.f64 (+.f64 alpha beta) (-.f64 beta alpha))
(*.f64 (sqrt.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (sqrt.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))))
(*.f64 (sqrt.f64 (+.f64 alpha beta)) (*.f64 (sqrt.f64 (+.f64 alpha beta)) (-.f64 beta alpha)))
(*.f64 (cbrt.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) 2) (cbrt.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 alpha beta)) 2) (*.f64 (cbrt.f64 (+.f64 alpha beta)) (-.f64 beta alpha)))
(*.f64 (-.f64 beta alpha) (+.f64 alpha beta))
(*.f64 (-.f64 (pow.f64 beta 4) (pow.f64 alpha 4)) (/.f64 1 (fma.f64 beta beta (*.f64 alpha alpha))))
(*.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6)) (/.f64 1 (+.f64 (pow.f64 alpha 4) (+.f64 (pow.f64 beta 4) (pow.f64 (*.f64 alpha beta) 2)))))
(/.f64 1 (/.f64 (fma.f64 beta beta (*.f64 alpha alpha)) (-.f64 (pow.f64 beta 4) (pow.f64 alpha 4))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 alpha 4) (+.f64 (pow.f64 beta 4) (pow.f64 (*.f64 alpha beta) 2))) (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6))))
(/.f64 (-.f64 (pow.f64 beta 4) (pow.f64 alpha 4)) (fma.f64 beta beta (*.f64 alpha alpha)))
(/.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6)) (+.f64 (pow.f64 alpha 4) (+.f64 (pow.f64 beta 4) (pow.f64 (*.f64 alpha beta) 2))))
(/.f64 (*.f64 (*.f64 (+.f64 alpha beta) (-.f64 alpha beta)) (-.f64 beta alpha)) (-.f64 alpha beta))
(/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 beta 3)) (-.f64 beta alpha)) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))))
(/.f64 (-.f64 (pow.f64 beta 4) (*.f64 (*.f64 alpha (neg.f64 alpha)) (*.f64 alpha (neg.f64 alpha)))) (-.f64 (*.f64 beta beta) (*.f64 alpha (neg.f64 alpha))))
(/.f64 (-.f64 (pow.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) 2) (*.f64 (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha)) (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha)))) (-.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha))))
(/.f64 (+.f64 (pow.f64 beta 6) (pow.f64 (*.f64 alpha (neg.f64 alpha)) 3)) (-.f64 (+.f64 (pow.f64 beta 4) (*.f64 (*.f64 alpha (neg.f64 alpha)) (*.f64 alpha (neg.f64 alpha)))) (*.f64 (*.f64 beta beta) (*.f64 alpha (neg.f64 alpha)))))
(/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) 3) (pow.f64 (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha)) 3)) (+.f64 (pow.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) 2) (-.f64 (*.f64 (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha)) (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha))) (*.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 beta 4) (pow.f64 alpha 4))) (neg.f64 (fma.f64 beta beta (*.f64 alpha alpha))))
(/.f64 (neg.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6))) (neg.f64 (+.f64 (pow.f64 alpha 4) (+.f64 (pow.f64 beta 4) (pow.f64 (*.f64 alpha beta) 2)))))
(pow.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) 1)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) 2)
(pow.f64 (cbrt.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) 3)
(pow.f64 (pow.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 alpha beta)) (-.f64 beta alpha)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) 3))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))))
(exp.f64 (log.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) 1))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))))
(fma.f64 1 (*.f64 beta beta) (*.f64 alpha (neg.f64 alpha)))
(fma.f64 1 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha)))
(fma.f64 beta beta (*.f64 alpha (neg.f64 alpha)))
(fma.f64 (+.f64 alpha beta) (-.f64 beta alpha) (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha)))
(fma.f64 (sqrt.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (sqrt.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) 2) (cbrt.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha)))
(fma.f64 (cbrt.f64 (pow.f64 beta 4)) (pow.f64 (cbrt.f64 beta) 2) (*.f64 alpha (neg.f64 alpha)))
Outputs
(/.f64 (pow.f64 beta 2) (+.f64 beta 2))
(/.f64 (*.f64 beta beta) (+.f64 beta 2))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (pow.f64 beta 2) (+.f64 beta 2)))
(fma.f64 -1 (/.f64 (*.f64 alpha (*.f64 beta beta)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (*.f64 beta beta) (+.f64 beta 2)))
(fma.f64 -1 (/.f64 (*.f64 beta (*.f64 beta alpha)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (*.f64 beta beta) (+.f64 beta 2)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (pow.f64 beta 2) (+.f64 beta 2))))
(fma.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 (neg.f64 (*.f64 beta beta)) (pow.f64 (+.f64 beta 2) 3))) (*.f64 alpha alpha)) (fma.f64 -1 (/.f64 (*.f64 alpha (*.f64 beta beta)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (*.f64 beta beta) (+.f64 beta 2))))
(fma.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 (*.f64 beta (neg.f64 beta)) (pow.f64 (+.f64 beta 2) 3))) (*.f64 alpha alpha)) (fma.f64 -1 (/.f64 (*.f64 beta (*.f64 beta alpha)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (*.f64 beta beta) (+.f64 beta 2))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 3)) (+.f64 beta 2)) (/.f64 (pow.f64 beta 2) (+.f64 beta 2)))))
(fma.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 (neg.f64 (*.f64 beta beta)) (pow.f64 (+.f64 beta 2) 3))) (*.f64 alpha alpha)) (fma.f64 -1 (/.f64 (*.f64 alpha (*.f64 beta beta)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (/.f64 (*.f64 beta beta) (+.f64 beta 2)) (/.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 (neg.f64 (*.f64 beta beta)) (pow.f64 (+.f64 beta 2) 3))) (/.f64 (+.f64 beta 2) (pow.f64 alpha 3))))))
(+.f64 (fma.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 (*.f64 beta (neg.f64 beta)) (pow.f64 (+.f64 beta 2) 3))) (*.f64 alpha alpha)) (fma.f64 -1 (/.f64 (*.f64 beta (*.f64 beta alpha)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (*.f64 beta beta) (+.f64 beta 2)))) (/.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 (*.f64 beta (neg.f64 beta)) (pow.f64 (+.f64 beta 2) 3))) (/.f64 (+.f64 beta 2) (pow.f64 alpha 3))))
(*.f64 -1 alpha)
(neg.f64 alpha)
(+.f64 beta (+.f64 2 (*.f64 -1 alpha)))
(+.f64 beta (+.f64 2 (neg.f64 alpha)))
(+.f64 beta (-.f64 2 alpha))
(-.f64 (+.f64 beta (+.f64 2 (+.f64 (*.f64 -1 alpha) (/.f64 (pow.f64 beta 2) alpha)))) (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha))
(-.f64 (+.f64 beta (+.f64 2 (fma.f64 -1 alpha (/.f64 (*.f64 beta beta) alpha)))) (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha))
(+.f64 beta (+.f64 (-.f64 2 alpha) (-.f64 (/.f64 (*.f64 beta beta) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha))))
(-.f64 (+.f64 beta (+.f64 2 (+.f64 (*.f64 -1 alpha) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 2) (-.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) alpha))))) (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha))
(+.f64 beta (-.f64 (+.f64 2 (fma.f64 -1 alpha (fma.f64 -1 (/.f64 (+.f64 beta 2) (/.f64 (*.f64 alpha alpha) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 beta beta) alpha)))) (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha)))
(+.f64 beta (-.f64 (+.f64 (-.f64 2 alpha) (fma.f64 -1 (/.f64 (+.f64 beta 2) (/.f64 (*.f64 alpha alpha) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 beta beta) alpha))) (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha)))
(*.f64 -1 alpha)
(neg.f64 alpha)
(+.f64 beta (+.f64 2 (*.f64 -1 alpha)))
(+.f64 beta (+.f64 2 (neg.f64 alpha)))
(+.f64 beta (-.f64 2 alpha))
(+.f64 beta (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (pow.f64 beta 2)) (*.f64 -1 (pow.f64 (+.f64 beta 2) 2))) alpha)) (*.f64 -1 alpha))))
(+.f64 beta (+.f64 2 (*.f64 -1 (+.f64 (/.f64 (*.f64 -1 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2))) alpha) alpha))))
(+.f64 beta (+.f64 (-.f64 2 alpha) (/.f64 (*.f64 1 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2))) alpha)))
(+.f64 beta (+.f64 2 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (pow.f64 beta 2)) (*.f64 -1 (pow.f64 (+.f64 beta 2) 2))) (+.f64 beta 2)) (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (pow.f64 beta 2)) (*.f64 -1 (pow.f64 (+.f64 beta 2) 2))) alpha)) (*.f64 -1 alpha)))))
(+.f64 beta (+.f64 2 (+.f64 (*.f64 -1 (+.f64 (/.f64 (*.f64 -1 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2))) alpha) alpha)) (/.f64 (*.f64 -1 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 alpha alpha) (+.f64 beta 2))))))
(+.f64 beta (+.f64 (+.f64 (-.f64 2 alpha) (/.f64 (*.f64 1 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 (+.f64 (neg.f64 beta) -2) (/.f64 (*.f64 alpha alpha) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2))))))
(*.f64 -1 (/.f64 (pow.f64 alpha 2) (+.f64 2 alpha)))
(/.f64 (*.f64 alpha (neg.f64 alpha)) (+.f64 2 alpha))
(+.f64 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -1 (/.f64 (pow.f64 alpha 2) (+.f64 2 alpha))))
(+.f64 (/.f64 (*.f64 alpha (neg.f64 alpha)) (+.f64 2 alpha)) (/.f64 (*.f64 beta (*.f64 alpha alpha)) (pow.f64 (+.f64 2 alpha) 2)))
(+.f64 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 3)))) (*.f64 -1 (/.f64 (pow.f64 alpha 2) (+.f64 2 alpha)))))
(+.f64 (/.f64 (*.f64 beta (*.f64 alpha alpha)) (pow.f64 (+.f64 2 alpha) 2)) (fma.f64 (*.f64 beta beta) (-.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 alpha) 3))) (/.f64 (*.f64 alpha (neg.f64 alpha)) (+.f64 2 alpha))))
(+.f64 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 3)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (+.f64 2 alpha))) (*.f64 (pow.f64 beta 3) (-.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))))
(+.f64 (/.f64 (*.f64 beta (*.f64 alpha alpha)) (pow.f64 (+.f64 2 alpha) 2)) (fma.f64 (*.f64 beta beta) (-.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 alpha) 3))) (fma.f64 -1 (/.f64 (*.f64 alpha alpha) (+.f64 2 alpha)) (*.f64 (pow.f64 beta 3) (-.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))))
beta
(+.f64 beta (*.f64 -1 (+.f64 2 alpha)))
(+.f64 beta (+.f64 -2 (neg.f64 alpha)))
(+.f64 beta (-.f64 -2 alpha))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) beta)) (+.f64 beta (*.f64 -1 (+.f64 2 alpha)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) beta)))
(-.f64 (fma.f64 -1 (/.f64 (*.f64 alpha alpha) beta) (+.f64 beta (+.f64 -2 (neg.f64 alpha)))) (/.f64 (neg.f64 (pow.f64 (+.f64 2 alpha) 2)) beta))
(-.f64 (fma.f64 -1 (/.f64 (*.f64 alpha alpha) beta) (+.f64 beta (-.f64 -2 alpha))) (/.f64 (neg.f64 (pow.f64 (+.f64 2 alpha) 2)) beta))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) beta)) (+.f64 beta (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 (pow.f64 alpha 2)) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 2 alpha)) (pow.f64 beta 2))) (*.f64 -1 (+.f64 2 alpha))))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) beta)))
(-.f64 (fma.f64 -1 (/.f64 (*.f64 alpha alpha) beta) (+.f64 beta (*.f64 -1 (+.f64 (/.f64 (*.f64 -1 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (*.f64 beta beta) (+.f64 2 alpha))) (+.f64 2 alpha))))) (/.f64 (neg.f64 (pow.f64 (+.f64 2 alpha) 2)) beta))
(-.f64 (fma.f64 -1 (/.f64 (*.f64 alpha alpha) beta) (+.f64 beta (fma.f64 -1 (/.f64 (*.f64 (-.f64 -2 alpha) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 beta beta)) (-.f64 -2 alpha)))) (/.f64 (neg.f64 (pow.f64 (+.f64 2 alpha) 2)) beta))
beta
(+.f64 beta (*.f64 -1 (+.f64 2 alpha)))
(+.f64 beta (+.f64 -2 (neg.f64 alpha)))
(+.f64 beta (-.f64 -2 alpha))
(+.f64 beta (+.f64 (*.f64 -1 (/.f64 (-.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) beta)) (*.f64 -1 (+.f64 2 alpha))))
(+.f64 beta (*.f64 -1 (+.f64 (/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 alpha) 2)) beta) (+.f64 2 alpha))))
(+.f64 beta (fma.f64 -1 (/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 alpha) 2)) beta) (-.f64 -2 alpha)))
(+.f64 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 beta 2)) (+.f64 beta (+.f64 (*.f64 -1 (/.f64 (-.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) beta)) (*.f64 -1 (+.f64 2 alpha)))))
(+.f64 (+.f64 beta (*.f64 -1 (+.f64 (/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 alpha) 2)) beta) (+.f64 2 alpha)))) (/.f64 (+.f64 2 alpha) (/.f64 (*.f64 beta beta) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 alpha) 2)))))
(+.f64 (fma.f64 -1 (/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 alpha) 2)) beta) (-.f64 -2 alpha)) (+.f64 beta (/.f64 (+.f64 2 alpha) (/.f64 (*.f64 beta beta) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 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 beta (+.f64 beta 2)))
(fma.f64 -1 (*.f64 alpha (fma.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 2 (pow.f64 (+.f64 beta 2) 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 beta (+.f64 beta 2))))
(fma.f64 -1 (*.f64 alpha (fma.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 2 (pow.f64 (+.f64 beta 2) 2)))) (fma.f64 -1 (*.f64 (*.f64 alpha alpha) (fma.f64 -1 (*.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) beta) (/.f64 (fma.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 2 (pow.f64 (+.f64 beta 2) 2))) (+.f64 beta 2))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (/.f64 (/.f64 1 beta) (+.f64 beta 2))))) (/.f64 beta (+.f64 beta 2))))
(fma.f64 -1 (*.f64 alpha (fma.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 2 (pow.f64 (+.f64 beta 2) 2)))) (fma.f64 -1 (*.f64 (*.f64 alpha alpha) (+.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) beta) (fma.f64 -1 (*.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) beta) (/.f64 (fma.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 2 (pow.f64 (+.f64 beta 2) 2))) (+.f64 beta 2))) (/.f64 1 (pow.f64 (+.f64 beta 2) 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)))))
(fma.f64 -1 (*.f64 alpha (fma.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 2 (pow.f64 (+.f64 beta 2) 2)))) (fma.f64 -1 (*.f64 (*.f64 alpha alpha) (fma.f64 -1 (*.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) beta) (/.f64 (fma.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 2 (pow.f64 (+.f64 beta 2) 2))) (+.f64 beta 2))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (/.f64 (/.f64 1 beta) (+.f64 beta 2))))) (fma.f64 -1 (*.f64 (pow.f64 alpha 3) (*.f64 -1 (+.f64 (*.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) beta) (/.f64 (fma.f64 -1 (*.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) beta) (/.f64 (fma.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 2 (pow.f64 (+.f64 beta 2) 2))) (+.f64 beta 2))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (/.f64 (/.f64 1 beta) (+.f64 beta 2)))) (+.f64 beta 2))) (/.f64 (fma.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 2 (pow.f64 (+.f64 beta 2) 2))) (*.f64 beta (+.f64 beta 2)))))) (/.f64 beta (+.f64 beta 2)))))
(+.f64 (fma.f64 -1 (*.f64 alpha (fma.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 2 (pow.f64 (+.f64 beta 2) 2)))) (fma.f64 -1 (*.f64 (*.f64 alpha alpha) (+.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) beta) (fma.f64 -1 (*.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) beta) (/.f64 (fma.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 2 (pow.f64 (+.f64 beta 2) 2))) (+.f64 beta 2))) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))) (/.f64 beta (+.f64 beta 2)))) (*.f64 (pow.f64 alpha 3) (*.f64 1 (+.f64 (*.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) beta) (/.f64 (+.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) beta) (fma.f64 -1 (*.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) beta) (/.f64 (fma.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 2 (pow.f64 (+.f64 beta 2) 2))) (+.f64 beta 2))) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) (+.f64 beta 2))) (/.f64 (fma.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 2 (pow.f64 (+.f64 beta 2) 2))) (*.f64 beta (+.f64 beta 2)))))))
-1
(-.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) 1)
(+.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) -1)
(+.f64 -1 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)))
(-.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 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (+.f64 (fma.f64 -1 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 beta 2))) 1) (/.f64 (pow.f64 (+.f64 2 (*.f64 beta 2)) 2) (*.f64 alpha alpha))))
(+.f64 (/.f64 (/.f64 (*.f64 beta beta) alpha) alpha) (-.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 2 (*.f64 beta 2)) 2) (*.f64 alpha alpha)) (fma.f64 -1 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 beta 2))) 1))))
(-.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)))))
(+.f64 (/.f64 2 alpha) (-.f64 (+.f64 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (fma.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 beta 2)) (+.f64 (-.f64 (*.f64 beta beta) (fma.f64 -1 (*.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 2 (*.f64 beta 2)) 2))) (*.f64 beta (+.f64 beta 2)))) (pow.f64 alpha 3)) (*.f64 2 (/.f64 beta alpha)))) (+.f64 (fma.f64 -1 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 beta 2))) 1) (/.f64 (pow.f64 (+.f64 2 (*.f64 beta 2)) 2) (*.f64 alpha alpha)))))
(-.f64 (+.f64 (+.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (/.f64 (/.f64 (*.f64 beta beta) alpha) alpha)) (neg.f64 (/.f64 (*.f64 (+.f64 2 (*.f64 beta 2)) (+.f64 (*.f64 beta (+.f64 beta 2)) (-.f64 (*.f64 beta beta) (fma.f64 -1 (*.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 2 (*.f64 beta 2)) 2))))) (pow.f64 alpha 3)))) (+.f64 (/.f64 (pow.f64 (+.f64 2 (*.f64 beta 2)) 2) (*.f64 alpha alpha)) (fma.f64 -1 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 beta 2))) 1)))
-1
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (+.f64 beta 2))) alpha)) 1)
(fma.f64 -1 (/.f64 (fma.f64 -1 beta (+.f64 (neg.f64 beta) -2)) alpha) -1)
(+.f64 -1 (/.f64 (*.f64 1 (+.f64 beta (+.f64 beta 2))) alpha))
(-.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 (fma.f64 -1 (/.f64 (fma.f64 -1 beta (+.f64 (neg.f64 beta) -2)) alpha) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (+.f64 (/.f64 (pow.f64 (fma.f64 -1 beta (+.f64 (neg.f64 beta) -2)) 2) (*.f64 alpha alpha)) (fma.f64 -1 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 beta 2))) 1)))
(-.f64 (-.f64 (+.f64 (/.f64 (/.f64 (*.f64 beta beta) alpha) alpha) (/.f64 (*.f64 1 (+.f64 beta (+.f64 beta 2))) alpha)) (fma.f64 -1 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 beta 2))) 1)) (/.f64 (pow.f64 (*.f64 -1 (+.f64 beta (+.f64 beta 2))) 2) (*.f64 alpha alpha)))
(-.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 (+.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 beta (+.f64 (neg.f64 beta) -2)) alpha) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (+.f64 (/.f64 (fma.f64 -1 beta (+.f64 (neg.f64 beta) -2)) (/.f64 (pow.f64 alpha 3) (-.f64 (*.f64 beta beta) (+.f64 (*.f64 (neg.f64 beta) (+.f64 beta 2)) (pow.f64 (fma.f64 -1 beta (+.f64 (neg.f64 beta) -2)) 2))))) (/.f64 beta (/.f64 (pow.f64 alpha 3) (*.f64 (+.f64 beta 2) (fma.f64 -1 beta (+.f64 (neg.f64 beta) -2))))))) (+.f64 (/.f64 (pow.f64 (fma.f64 -1 beta (+.f64 (neg.f64 beta) -2)) 2) (*.f64 alpha alpha)) (fma.f64 -1 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 beta 2))) 1)))
(+.f64 (/.f64 (*.f64 1 (+.f64 beta (+.f64 beta 2))) alpha) (+.f64 (/.f64 (/.f64 (*.f64 beta beta) alpha) alpha) (-.f64 (+.f64 (/.f64 (*.f64 -1 (+.f64 beta (+.f64 beta 2))) (/.f64 (pow.f64 alpha 3) (-.f64 (*.f64 beta beta) (+.f64 (*.f64 (+.f64 beta 2) (neg.f64 beta)) (pow.f64 (*.f64 -1 (+.f64 beta (+.f64 beta 2))) 2))))) (/.f64 (*.f64 (*.f64 (+.f64 beta 2) (neg.f64 beta)) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha 3))) (+.f64 (/.f64 (pow.f64 (*.f64 -1 (+.f64 beta (+.f64 beta 2))) 2) (*.f64 alpha alpha)) (fma.f64 -1 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 beta 2))) 1)))))
(*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))
(/.f64 (neg.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 (neg.f64 alpha) (+.f64 2 alpha)) (/.f64 beta (/.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 2 (*.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 beta (/.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 2 (*.f64 2 alpha)))) (fma.f64 -1 (/.f64 alpha (+.f64 2 alpha)) (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (*.f64 alpha (+.f64 2 alpha)))) (/.f64 (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2) (*.f64 alpha (pow.f64 (+.f64 2 alpha) 3)))) (*.f64 beta beta))))
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2
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2
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(/.f64 (-.f64 (pow.f64 beta 4) (*.f64 alpha (*.f64 (neg.f64 alpha) (*.f64 alpha (neg.f64 alpha))))) (-.f64 (*.f64 beta beta) (*.f64 alpha (neg.f64 alpha))))
(/.f64 (-.f64 (pow.f64 beta 4) (*.f64 (neg.f64 alpha) (*.f64 -1 (pow.f64 alpha 3)))) (-.f64 (*.f64 beta beta) (*.f64 alpha (neg.f64 alpha))))
(/.f64 (-.f64 (pow.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) 2) (*.f64 (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha)) (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha)))) (-.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha))))
(/.f64 (+.f64 (pow.f64 beta 6) (pow.f64 (*.f64 alpha (neg.f64 alpha)) 3)) (-.f64 (+.f64 (pow.f64 beta 4) (*.f64 (*.f64 alpha (neg.f64 alpha)) (*.f64 alpha (neg.f64 alpha)))) (*.f64 (*.f64 beta beta) (*.f64 alpha (neg.f64 alpha)))))
(/.f64 (+.f64 (pow.f64 beta 6) (pow.f64 (*.f64 alpha (neg.f64 alpha)) 3)) (+.f64 (pow.f64 beta 4) (-.f64 (*.f64 alpha (*.f64 (neg.f64 alpha) (*.f64 alpha (neg.f64 alpha)))) (*.f64 (*.f64 alpha (*.f64 beta beta)) (neg.f64 alpha)))))
(/.f64 (+.f64 (pow.f64 beta 6) (pow.f64 (*.f64 alpha (neg.f64 alpha)) 3)) (-.f64 (+.f64 (pow.f64 beta 4) (*.f64 (neg.f64 alpha) (*.f64 -1 (pow.f64 alpha 3)))) (*.f64 (pow.f64 (*.f64 beta alpha) 2) -1)))
(/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) 3) (pow.f64 (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha)) 3)) (+.f64 (pow.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) 2) (-.f64 (*.f64 (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha)) (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha))) (*.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha))))))
(/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) 3) (pow.f64 (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha)) 3)) (+.f64 (pow.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) 2) (*.f64 (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha)) (-.f64 (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha)) (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 beta 4) (pow.f64 alpha 4))) (neg.f64 (fma.f64 beta beta (*.f64 alpha alpha))))
(/.f64 (neg.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6))) (neg.f64 (+.f64 (pow.f64 alpha 4) (+.f64 (pow.f64 beta 4) (pow.f64 (*.f64 alpha beta) 2)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6))) (neg.f64 (+.f64 (pow.f64 alpha 4) (+.f64 (pow.f64 beta 4) (pow.f64 (*.f64 beta alpha) 2)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6))) (neg.f64 (+.f64 (pow.f64 (*.f64 beta alpha) 2) (+.f64 (pow.f64 alpha 4) (pow.f64 beta 4)))))
(pow.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) 1)
(-.f64 (*.f64 beta beta) (*.f64 alpha alpha))
(pow.f64 (sqrt.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) 2)
(-.f64 (*.f64 beta beta) (*.f64 alpha alpha))
(pow.f64 (cbrt.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) 3)
(-.f64 (*.f64 beta beta) (*.f64 alpha alpha))
(pow.f64 (pow.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) 3) 1/3)
(-.f64 (*.f64 beta beta) (*.f64 alpha alpha))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 alpha beta)) (-.f64 beta alpha)))
(*.f64 (-.f64 beta alpha) (log.f64 (exp.f64 (+.f64 beta alpha))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)))))
(-.f64 (*.f64 beta beta) (*.f64 alpha alpha))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) 3))
(-.f64 (*.f64 beta beta) (*.f64 alpha alpha))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))))
(-.f64 (*.f64 beta beta) (*.f64 alpha alpha))
(exp.f64 (log.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))))
(-.f64 (*.f64 beta beta) (*.f64 alpha alpha))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) 1))
(-.f64 (*.f64 beta beta) (*.f64 alpha alpha))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))))
(-.f64 (*.f64 beta beta) (*.f64 alpha alpha))
(fma.f64 1 (*.f64 beta beta) (*.f64 alpha (neg.f64 alpha)))
(fma.f64 1 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha)))
(-.f64 (fma.f64 beta beta (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha))) (*.f64 alpha alpha))
(-.f64 (-.f64 (fma.f64 beta beta (*.f64 alpha alpha)) (*.f64 alpha alpha)) (*.f64 alpha alpha))
(fma.f64 beta beta (*.f64 alpha (neg.f64 alpha)))
(-.f64 (*.f64 beta beta) (*.f64 alpha alpha))
(fma.f64 (+.f64 alpha beta) (-.f64 beta alpha) (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha)))
(-.f64 (fma.f64 beta beta (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha))) (*.f64 alpha alpha))
(-.f64 (-.f64 (fma.f64 beta beta (*.f64 alpha alpha)) (*.f64 alpha alpha)) (*.f64 alpha alpha))
(fma.f64 (sqrt.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (sqrt.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha)))
(-.f64 (fma.f64 beta beta (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha))) (*.f64 alpha alpha))
(-.f64 (-.f64 (fma.f64 beta beta (*.f64 alpha alpha)) (*.f64 alpha alpha)) (*.f64 alpha alpha))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) 2) (cbrt.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha)))
(-.f64 (fma.f64 beta beta (fma.f64 (neg.f64 alpha) alpha (*.f64 alpha alpha))) (*.f64 alpha alpha))
(-.f64 (-.f64 (fma.f64 beta beta (*.f64 alpha alpha)) (*.f64 alpha alpha)) (*.f64 alpha alpha))
(fma.f64 (cbrt.f64 (pow.f64 beta 4)) (pow.f64 (cbrt.f64 beta) 2) (*.f64 alpha (neg.f64 alpha)))

eval1.2s (9%)

Compiler

Compiled 38762 to 25424 computations (34.4% saved)

prune547.0ms (4%)

Pruning

23 alts after pruning (14 fresh and 9 done)

PrunedKeptTotal
New113571142
Fresh3710
Picked101
Done2911
Total1141231164
Error
0.01%
Counts
1164 → 23
Alt Table
Click to see full alt table
StatusErrorProgram
28.76%
(/.f64 (fma.f64 (/.f64 1 (+.f64 alpha beta)) (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 1) 2)
28.76%
(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) 2)
74.01%
(/.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 2)
67.79%
(/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2)
29.9%
(/.f64 (/.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (-.f64 beta alpha)) (*.f64 (/.f64 1 (+.f64 2 (+.f64 beta alpha))) (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))))))) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (/.f64 (-.f64 1 (*.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 alpha (+.f64 2 beta))) (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 alpha (+.f64 2 beta))))) (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))))) 2)
72.51%
(/.f64 (/.f64 2 alpha) 2)
28.51%
(/.f64 (-.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) 2)
73.37%
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
50.17%
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
52.32%
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
28.4%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
72.57%
(/.f64 (+.f64 (/.f64 (-.f64 -2 beta) (/.f64 (*.f64 alpha alpha) beta)) (-.f64 (+.f64 (fma.f64 2 (/.f64 beta alpha) (-.f64 (/.f64 2 alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)))) (-.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4)))) (-.f64 (*.f64 (/.f64 beta (pow.f64 alpha 4)) (pow.f64 (+.f64 2 beta) 3)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3))))) 2)
29.76%
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
73.64%
(/.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) 2)
72.58%
(/.f64 (+.f64 (-.f64 (-.f64 (/.f64 1 (/.f64 (pow.f64 alpha 3) (*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta (+.f64 2 beta))))) (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha))) (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4))) (-.f64 (/.f64 (-.f64 -2 beta) (/.f64 (*.f64 alpha alpha) beta)) (*.f64 (/.f64 beta (pow.f64 alpha 4)) (pow.f64 (+.f64 2 beta) 3)))) 2)
50.66%
(/.f64 (+.f64 (*.f64 (*.f64 (/.f64 1 (+.f64 (+.f64 alpha 2) beta)) (*.f64 alpha (neg.f64 alpha))) (/.f64 1 (+.f64 alpha beta))) 1) 2)
53.32%
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
70.36%
(/.f64 (+.f64 (*.f64 -1 (/.f64 2 (/.f64 beta alpha))) 2) 2)
74%
(/.f64 (*.f64 (/.f64 2 alpha) (-.f64 1 (/.f64 2 alpha))) 2)
68.94%
(/.f64 (*.f64 -1 (-.f64 (fma.f64 beta (-.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha)) (/.f64 4 (*.f64 alpha alpha))) (/.f64 2 alpha))) 2)
68.34%
(/.f64 (*.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (*.f64 2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))))) 2)
65.66%
(/.f64 2 2)
50.35%
(/.f64 1 2)
Compiler

Compiled 511 to 369 computations (27.8% saved)

regimes159.0ms (1.2%)

Counts
38 → 2
Calls
Call 1
Inputs
(/.f64 1 2)
(/.f64 2 2)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
(/.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 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2)
(/.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 2)
(/.f64 (*.f64 (/.f64 2 alpha) (-.f64 1 (/.f64 2 alpha))) 2)
(/.f64 (+.f64 (*.f64 -1 (/.f64 2 (/.f64 beta alpha))) 2) 2)
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
(/.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 -2 alpha)) (*.f64 alpha alpha))) 2)
(/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
(/.f64 (-.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) 2)
(/.f64 (*.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (*.f64 2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))))) 2)
(/.f64 (+.f64 (*.f64 (*.f64 (/.f64 1 (+.f64 (+.f64 alpha 2) beta)) (*.f64 alpha (neg.f64 alpha))) (/.f64 1 (+.f64 alpha beta))) 1) 2)
(/.f64 (+.f64 (*.f64 (*.f64 (/.f64 1 (+.f64 (+.f64 alpha 2) beta)) (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (/.f64 1 (+.f64 alpha beta))) 1) 2)
(/.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (/.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) alpha) alpha) (*.f64 alpha (+.f64 beta (+.f64 beta -2)))) (*.f64 alpha alpha))) 2)
(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) 2)
(/.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) 2)
(/.f64 (fma.f64 (/.f64 1 (+.f64 alpha beta)) (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 1) 2)
(/.f64 (*.f64 -1 (-.f64 (fma.f64 beta (-.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha)) (/.f64 4 (*.f64 alpha alpha))) (/.f64 2 alpha))) 2)
(/.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 (/.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (-.f64 beta alpha)) (*.f64 (/.f64 1 (+.f64 2 (+.f64 beta alpha))) (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))))))) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 2)
(/.f64 (/.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (-.f64 beta alpha)) (*.f64 (/.f64 1 (+.f64 2 (+.f64 beta alpha))) (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))))))) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (/.f64 (-.f64 1 (*.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 alpha (+.f64 2 beta))) (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 alpha (+.f64 2 beta))))) (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))))) 2)
(/.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 2)
(/.f64 (*.f64 (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))) 2)
(/.f64 (-.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)))) 2)
(/.f64 (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (fma.f64 -1 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha) (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))))) 2)
(/.f64 (+.f64 (-.f64 (-.f64 (/.f64 1 (/.f64 (pow.f64 alpha 3) (*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta (+.f64 2 beta))))) (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha))) (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4))) (-.f64 (/.f64 (-.f64 -2 beta) (/.f64 (*.f64 alpha alpha) beta)) (*.f64 (/.f64 beta (pow.f64 alpha 4)) (pow.f64 (+.f64 2 beta) 3)))) 2)
(/.f64 (+.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)))))) 2)
(/.f64 (+.f64 (/.f64 (-.f64 -2 beta) (/.f64 (*.f64 alpha alpha) beta)) (-.f64 (+.f64 (fma.f64 2 (/.f64 beta alpha) (-.f64 (/.f64 2 alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)))) (-.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4)))) (-.f64 (*.f64 (/.f64 beta (pow.f64 alpha 4)) (pow.f64 (+.f64 2 beta) 3)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3))))) 2)
Outputs
(/.f64 (*.f64 -1 (-.f64 (fma.f64 beta (-.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha)) (/.f64 4 (*.f64 alpha alpha))) (/.f64 2 alpha))) 2)
(/.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 2)
Calls

5 calls:

52.0ms
beta
34.0ms
alpha
18.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
8.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
6.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
Results
ErrorSegmentsBranch
3.87%2alpha
25.81%3beta
0.23%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
0.23%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
0.23%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
Compiler

Compiled 948 to 630 computations (33.5% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999999999994762
-0.9999986262399008
Compiler

Compiled 20 to 15 computations (25% saved)

regimes197.0ms (1.5%)

Counts
31 → 2
Calls
Call 1
Inputs
(/.f64 1 2)
(/.f64 2 2)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
(/.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 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2)
(/.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 2)
(/.f64 (*.f64 (/.f64 2 alpha) (-.f64 1 (/.f64 2 alpha))) 2)
(/.f64 (+.f64 (*.f64 -1 (/.f64 2 (/.f64 beta alpha))) 2) 2)
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
(/.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 -2 alpha)) (*.f64 alpha alpha))) 2)
(/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
(/.f64 (-.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) 2)
(/.f64 (*.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (*.f64 2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))))) 2)
(/.f64 (+.f64 (*.f64 (*.f64 (/.f64 1 (+.f64 (+.f64 alpha 2) beta)) (*.f64 alpha (neg.f64 alpha))) (/.f64 1 (+.f64 alpha beta))) 1) 2)
(/.f64 (+.f64 (*.f64 (*.f64 (/.f64 1 (+.f64 (+.f64 alpha 2) beta)) (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (/.f64 1 (+.f64 alpha beta))) 1) 2)
(/.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (/.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) alpha) alpha) (*.f64 alpha (+.f64 beta (+.f64 beta -2)))) (*.f64 alpha alpha))) 2)
(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) 2)
(/.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) 2)
(/.f64 (fma.f64 (/.f64 1 (+.f64 alpha beta)) (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 1) 2)
(/.f64 (*.f64 -1 (-.f64 (fma.f64 beta (-.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha)) (/.f64 4 (*.f64 alpha alpha))) (/.f64 2 alpha))) 2)
(/.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 (/.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (-.f64 beta alpha)) (*.f64 (/.f64 1 (+.f64 2 (+.f64 beta alpha))) (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))))))) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 2)
(/.f64 (/.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (-.f64 beta alpha)) (*.f64 (/.f64 1 (+.f64 2 (+.f64 beta alpha))) (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))))))) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (/.f64 (-.f64 1 (*.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 alpha (+.f64 2 beta))) (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 alpha (+.f64 2 beta))))) (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))))) 2)
Outputs
(/.f64 (*.f64 -1 (-.f64 (fma.f64 beta (-.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha)) (/.f64 4 (*.f64 alpha alpha))) (/.f64 2 alpha))) 2)
(/.f64 (fma.f64 (/.f64 1 (+.f64 alpha beta)) (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 1) 2)
Calls

5 calls:

68.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
55.0ms
alpha
47.0ms
beta
7.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
7.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
Results
ErrorSegmentsBranch
3.87%2alpha
25.84%3beta
0.24%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
0.24%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
0.24%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
Compiler

Compiled 574 to 374 computations (34.8% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999986262399008
-0.9998302125663396
Compiler

Compiled 20 to 15 computations (25% saved)

regimes94.0ms (0.7%)

Counts
27 → 2
Calls
Call 1
Inputs
(/.f64 1 2)
(/.f64 2 2)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
(/.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 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2)
(/.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 2)
(/.f64 (*.f64 (/.f64 2 alpha) (-.f64 1 (/.f64 2 alpha))) 2)
(/.f64 (+.f64 (*.f64 -1 (/.f64 2 (/.f64 beta alpha))) 2) 2)
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
(/.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 -2 alpha)) (*.f64 alpha alpha))) 2)
(/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
(/.f64 (-.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) 2)
(/.f64 (*.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (*.f64 2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))))) 2)
(/.f64 (+.f64 (*.f64 (*.f64 (/.f64 1 (+.f64 (+.f64 alpha 2) beta)) (*.f64 alpha (neg.f64 alpha))) (/.f64 1 (+.f64 alpha beta))) 1) 2)
(/.f64 (+.f64 (*.f64 (*.f64 (/.f64 1 (+.f64 (+.f64 alpha 2) beta)) (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (/.f64 1 (+.f64 alpha beta))) 1) 2)
(/.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (/.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) alpha) alpha) (*.f64 alpha (+.f64 beta (+.f64 beta -2)))) (*.f64 alpha alpha))) 2)
(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) 2)
(/.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) 2)
(/.f64 (fma.f64 (/.f64 1 (+.f64 alpha beta)) (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 1) 2)
Outputs
(/.f64 (*.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (*.f64 2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))))) 2)
(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) 2)
Calls

5 calls:

34.0ms
beta
24.0ms
alpha
14.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
7.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
5.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
Results
ErrorSegmentsBranch
3.93%2alpha
25.85%3beta
0.25%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
0.25%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
0.25%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
Compiler

Compiled 380 to 266 computations (30% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999999999994762
-0.9999986262399008
Compiler

Compiled 20 to 15 computations (25% saved)

regimes117.0ms (0.9%)

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

5 calls:

55.0ms
beta
28.0ms
alpha
14.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
7.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
5.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
Results
ErrorSegmentsBranch
3.94%2alpha
25.85%3beta
0.26%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
0.26%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
0.26%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
Compiler

Compiled 327 to 235 computations (28.1% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999999999994762
-0.9999986262399008
Compiler

Compiled 20 to 15 computations (25% saved)

regimes76.0ms (0.6%)

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

29.0ms
beta
18.0ms
alpha
11.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
6.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
5.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
Results
ErrorSegmentsBranch
3.94%2alpha
25.85%3beta
0.31%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
0.31%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
0.31%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
Compiler

Compiled 229 to 174 computations (24% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999999999994762
-0.9999986262399008
Compiler

Compiled 20 to 15 computations (25% saved)

regimes54.0ms (0.4%)

Counts
17 → 2
Calls
Call 1
Inputs
(/.f64 1 2)
(/.f64 2 2)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
(/.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 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2)
(/.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 2)
(/.f64 (*.f64 (/.f64 2 alpha) (-.f64 1 (/.f64 2 alpha))) 2)
(/.f64 (+.f64 (*.f64 -1 (/.f64 2 (/.f64 beta alpha))) 2) 2)
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
(/.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 -2 alpha)) (*.f64 alpha alpha))) 2)
(/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) 2)
Outputs
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
Calls

2 calls:

24.0ms
beta
24.0ms
alpha
Results
ErrorSegmentsBranch
4.6%2alpha
27.05%3beta
Compiler

Compiled 149 to 120 computations (19.5% saved)

bsearch14.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
14.0ms
93.90870470696998
11777.60906245916
Results
12.0ms112×body256valid
Compiler

Compiled 188 to 155 computations (17.6% saved)

regimes30.0ms (0.2%)

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

2 calls:

16.0ms
beta
11.0ms
alpha
Results
ErrorSegmentsBranch
9.72%2alpha
27.05%3beta
Compiler

Compiled 63 to 53 computations (15.9% saved)

bsearch14.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
14.0ms
93.90870470696998
11777.60906245916
Results
13.0ms112×body256valid
Compiler

Compiled 160 to 134 computations (16.3% saved)

regimes31.0ms (0.2%)

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

2 calls:

19.0ms
beta
10.0ms
alpha
Results
ErrorSegmentsBranch
27.34%2alpha
27.53%4beta
Compiler

Compiled 45 to 39 computations (13.3% saved)

bsearch20.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
19.0ms
9.054554941196589e-10
93.90870470696998
Results
17.0ms160×body256valid
Compiler

Compiled 200 to 175 computations (12.5% saved)

regimes27.0ms (0.2%)

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

2 calls:

17.0ms
beta
9.0ms
alpha
Results
ErrorSegmentsBranch
27.41%2alpha
27.63%4beta
Compiler

Compiled 31 to 27 computations (12.9% saved)

bsearch14.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
14.0ms
93.90870470696998
11777.60906245916
Results
13.0ms112×body256valid
Compiler

Compiled 118 to 106 computations (10.2% saved)

regimes14.0ms (0.1%)

Accuracy

Total -42.2b remaining (-214.5%)

Threshold costs -42.2b (-214.5%)

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

2 calls:

7.0ms
alpha
6.0ms
beta
Results
ErrorSegmentsBranch
46.76%2alpha
30.73%2beta
Compiler

Compiled 19 to 17 computations (10.5% saved)

bsearch27.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
27.0ms
183.23183825325515
252547972273.21054
Results
16.0ms109×body256valid
5.0ms23×body1024valid
3.0msbody512valid
1.0msbody2048valid
Compiler

Compiled 128 to 123 computations (3.9% saved)

simplify54.0ms (0.4%)

Algorithm
egg-herbie
Rules
152×distribute-lft-neg-in
128×*-commutative
114×+-commutative
90×neg-sub0
86×distribute-neg-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
098923
1135923
2181907
3234899
4295899
5364899
6407899
7459899
8524899
9564899
10590899
11603899
12605899
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007190247541737/9007199254740992) (/.f64 (*.f64 -1 (-.f64 (fma.f64 beta (-.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha)) (/.f64 4 (*.f64 alpha alpha))) (/.f64 2 alpha))) 2) (/.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -4503149267407759/4503599627370496) (/.f64 (*.f64 -1 (-.f64 (fma.f64 beta (-.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha)) (/.f64 4 (*.f64 alpha alpha))) (/.f64 2 alpha))) 2) (/.f64 (fma.f64 (/.f64 1 (+.f64 alpha beta)) (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007190247541737/9007199254740992) (/.f64 (*.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (*.f64 2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))))) 2) (/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007190247541737/9007199254740992) (/.f64 (*.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (*.f64 2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))))) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007190247541737/9007199254740992) (/.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 8000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 11500) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 alpha 5/4) (/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 alpha 95) (/.f64 1 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 beta 190) (/.f64 1 2) (/.f64 2 2))
(/.f64 1 2)
Outputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007190247541737/9007199254740992) (/.f64 (*.f64 -1 (-.f64 (fma.f64 beta (-.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha)) (/.f64 4 (*.f64 alpha alpha))) (/.f64 2 alpha))) 2) (/.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -9007190247541737/9007199254740992) (/.f64 (neg.f64 (-.f64 (fma.f64 beta (-.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha)) (/.f64 4 (*.f64 alpha alpha))) (/.f64 2 alpha))) 2) (/.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -9007190247541737/9007199254740992) (/.f64 (neg.f64 (+.f64 (fma.f64 beta (-.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha)) (/.f64 4 (*.f64 alpha alpha))) (/.f64 -2 alpha))) 2) (/.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -9007190247541737/9007199254740992) (/.f64 (+.f64 (/.f64 2 alpha) (neg.f64 (fma.f64 beta (-.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha)) (/.f64 4 (*.f64 alpha alpha))))) 2) (/.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -9007190247541737/9007199254740992) (/.f64 (-.f64 (/.f64 2 alpha) (fma.f64 beta (-.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha)) (/.f64 4 (*.f64 alpha alpha)))) 2) (/.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (+.f64 1 (/.f64 (-.f64 alpha beta) (+.f64 beta (+.f64 alpha 2)))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -4503149267407759/4503599627370496) (/.f64 (*.f64 -1 (-.f64 (fma.f64 beta (-.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha)) (/.f64 4 (*.f64 alpha alpha))) (/.f64 2 alpha))) 2) (/.f64 (fma.f64 (/.f64 1 (+.f64 alpha beta)) (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -4503149267407759/4503599627370496) (/.f64 (neg.f64 (-.f64 (fma.f64 beta (-.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha)) (/.f64 4 (*.f64 alpha alpha))) (/.f64 2 alpha))) 2) (/.f64 (fma.f64 (/.f64 1 (+.f64 beta alpha)) (*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -4503149267407759/4503599627370496) (/.f64 (neg.f64 (+.f64 (fma.f64 beta (-.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha)) (/.f64 4 (*.f64 alpha alpha))) (/.f64 -2 alpha))) 2) (/.f64 (fma.f64 (/.f64 1 (+.f64 beta alpha)) (*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -4503149267407759/4503599627370496) (/.f64 (+.f64 (/.f64 2 alpha) (neg.f64 (fma.f64 beta (-.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha)) (/.f64 4 (*.f64 alpha alpha))))) 2) (/.f64 (fma.f64 (/.f64 1 (+.f64 beta alpha)) (*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -4503149267407759/4503599627370496) (/.f64 (-.f64 (/.f64 2 alpha) (fma.f64 beta (-.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha)) (/.f64 4 (*.f64 alpha alpha)))) 2) (/.f64 (fma.f64 (/.f64 1 (+.f64 beta alpha)) (*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007190247541737/9007199254740992) (/.f64 (*.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (*.f64 2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))))) 2) (/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -9007190247541737/9007199254740992) (/.f64 (neg.f64 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha) (*.f64 2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))))) 2) (/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -9007190247541737/9007199254740992) (/.f64 (-.f64 (*.f64 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha)) -2) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 2) (/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -9007190247541737/9007199254740992) (/.f64 (+.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha) (*.f64 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha)) -2)) 2) (/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007190247541737/9007199254740992) (/.f64 (*.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (*.f64 2 (*.f64 (/.f64 beta alpha) (/.f64 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)) -9007190247541737/9007199254740992) (/.f64 (neg.f64 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha) (*.f64 2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))))) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -9007190247541737/9007199254740992) (/.f64 (-.f64 (*.f64 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha)) -2) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -9007190247541737/9007199254740992) (/.f64 (+.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha) (*.f64 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha)) -2)) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -9007190247541737/9007199254740992) (/.f64 (+.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha) (*.f64 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha)) -2)) 2) (/.f64 (-.f64 1 (/.f64 (-.f64 alpha beta) (+.f64 (+.f64 beta alpha) 2))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007190247541737/9007199254740992) (/.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)) -9007190247541737/9007199254740992) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -9007190247541737/9007199254740992) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2) (/.f64 (-.f64 1 (/.f64 (-.f64 alpha beta) (+.f64 (+.f64 beta alpha) 2))) 2))
(if (<=.f64 alpha 8000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 8000) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2))
(if (<=.f64 alpha 11500) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 alpha 11500) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 alpha 5/4) (/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 alpha 5/4) (/.f64 (+.f64 1 (*.f64 alpha -1/2)) 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 alpha 95) (/.f64 1 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 alpha 95) 1/2 (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 beta 190) (/.f64 1 2) (/.f64 2 2))
(if (<=.f64 beta 190) 1/2 1)
(/.f64 1 2)
1/2
Compiler

Compiled 347 to 237 computations (31.7% saved)

soundness504.0ms (3.7%)

Algorithm
egg-herbie
Rules
982×associate-/l*
982×associate-/l*
946×fma-def
924×distribute-lft-in
856×associate-*r*
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01237
12537
24137
36937
411737
525533
646333
784533
8172033
9394033
060812724
1216112284
055815115
1166413107
01237
12537
24137
36937
411737
525533
646333
784533
8172033
9394033
Stop Event
node limit
node limit
node limit
node limit
Compiler

Compiled 605 to 452 computations (25.3% saved)

end141.0ms (1%)

Compiler

Compiled 327 to 204 computations (37.6% saved)

Profiling

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