Details

Time bar (total: 19.8s)

analyze36.0ms (0.2%)

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 (7.9%)

Results
990.0ms6506×body256valid
363.0ms1038×body1024valid
109.0ms598×body512valid
59.0ms114×body2048valid
Bogosity

preprocess65.0ms (0.3%)

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)

simplify66.0ms (0.3%)

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

Useful iterations: 5 (0.0ms)

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

eval1.0ms (0%)

Compiler

Compiled 65 to 39 computations (40% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New415
Fresh101
Picked000
Done000
Total516
Error
18.0b
Counts
6 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
18.0b
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
Compiler

Compiled 15 to 11 computations (26.7% saved)

localize16.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 50 to 23 computations (54% saved)

series7.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite98.0ms (0.5%)

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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simplify146.0ms (0.7%)

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)))

eval209.0ms (1.1%)

Compiler

Compiled 12222 to 7914 computations (35.2% saved)

prune130.0ms (0.7%)

Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New34113354
Fresh000
Picked011
Done000
Total34114355
Error
0.1b
Counts
355 → 14
Alt Table
Click to see full alt table
StatusErrorProgram
43.4b
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
18.0b
(/.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)
17.3b
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
18.1b
(/.f64 (-.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) 2)
34.6b
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
48.2b
(/.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)
46.9b
(/.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)
34.4b
(/.f64 (+.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))) (/.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (-.f64 beta alpha))) 1) 2)
18.0b
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
19.8b
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
61.7b
(/.f64 (+.f64 -1 1) 2)
45.8b
(/.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)
18.1b
(/.f64 (log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 2)
40.5b
(/.f64 2 2)
Compiler

Compiled 667 to 495 computations (25.8% saved)

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiled 73 to 47 computations (35.6% saved)

series5.0ms (0%)

Counts
4 → 96
Calls

24 calls:

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

rewrite144.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1596×associate-/l*
1148×associate-/r/
382×+-commutative
366×associate-+l+
310×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
012112
129094
2452394
Stop Event
node limit
Counts
4 → 305
Calls
Call 1
Inputs
(-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)
(/.f64 beta (+.f64 beta (+.f64 alpha 2)))
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))
Outputs
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2))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 2))) (neg.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 beta (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 2) (cbrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))))

simplify531.0ms (2.7%)

Algorithm
egg-herbie
Rules
1088×associate-*r*
1082×+-commutative
958×*-commutative
834×associate-*l*
788×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
096728603
1293827231
Stop Event
node limit
Counts
401 → 680
Calls
Call 1
Inputs
-1
(-.f64 (/.f64 alpha (+.f64 beta 2)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 alpha (+.f64 beta 2))) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) 1)
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))))
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))))
(-.f64 (/.f64 alpha (+.f64 2 alpha)) 1)
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2)))) 1)
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2))))) 1)
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 3) alpha) (pow.f64 (+.f64 2 alpha) 4))) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2)))))) 1)
-1
(-.f64 (/.f64 alpha beta) 1)
(-.f64 (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) 1)
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))) 1)
-1
(-.f64 (/.f64 alpha beta) 1)
(-.f64 (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) 1)
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))) 1)
(/.f64 beta (+.f64 2 alpha))
(+.f64 (/.f64 beta (+.f64 2 alpha)) (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))))
(+.f64 (/.f64 beta (+.f64 2 alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 4) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 (/.f64 beta (+.f64 2 alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))
(/.f64 beta (+.f64 beta 2))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (+.f64 beta 2)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (+.f64 beta 2))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 beta 2) 3)) (+.f64 (/.f64 beta (+.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 4))))))
(/.f64 beta alpha)
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 beta alpha))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (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 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))
(/.f64 beta alpha)
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 beta alpha))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (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 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))
(/.f64 alpha (+.f64 beta 2))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 alpha (+.f64 beta 2)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 alpha (+.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))))
1
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1)
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))))
1
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1)
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))))
(/.f64 alpha (+.f64 2 alpha))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2))))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2)))))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 3) alpha) (pow.f64 (+.f64 2 alpha) 4))) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2))))))
(/.f64 alpha beta)
(+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))))
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 3) alpha) (pow.f64 beta 4))) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))))
(/.f64 alpha beta)
(+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))))
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 3) alpha) (pow.f64 beta 4))) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))))
(-.f64 1 (/.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 -1 (/.f64 (-.f64 (+.f64 2 alpha) (*.f64 -1 alpha)) beta)) 2)
(+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 2 alpha) (*.f64 -1 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 (+.f64 2 alpha) (*.f64 -1 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 -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)))
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(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 2))) (cbrt.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 2)))) (/.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (cbrt.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 2)))))
(/.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))) (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))))
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))
(/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 3)) (-.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))) (*.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3)) (+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) (-.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))))
(/.f64 (-.f64 (*.f64 beta (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1)))
(/.f64 (-.f64 (*.f64 beta (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1))))
(/.f64 (-.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1) (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1))) (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1)))
(/.f64 (-.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1)) (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta) (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))) (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1))))
(/.f64 (-.f64 (*.f64 (neg.f64 beta) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1)) (*.f64 (-.f64 -2 (+.f64 alpha beta)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1))) (*.f64 (-.f64 -2 (+.f64 alpha beta)) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1)))
(/.f64 (-.f64 (*.f64 (neg.f64 beta) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1))) (*.f64 (-.f64 -2 (+.f64 alpha beta)) (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))) (*.f64 (-.f64 -2 (+.f64 alpha beta)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 2))) (neg.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))))))
(pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1)
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 3)
(pow.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 2))
(log.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 3))
(expm1.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(exp.f64 (log.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(exp.f64 (*.f64 (log.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(fma.f64 beta (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(fma.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 2) (cbrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
Outputs
-1
(-.f64 (/.f64 alpha (+.f64 beta 2)) 1)
(+.f64 (/.f64 alpha (+.f64 beta 2)) -1)
(+.f64 -1 (/.f64 alpha (+.f64 beta 2)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 alpha (+.f64 beta 2))) 1)
(+.f64 (fma.f64 -1 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (/.f64 alpha (+.f64 beta 2))) -1)
(+.f64 -1 (fma.f64 -1 (/.f64 alpha (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (/.f64 alpha (+.f64 beta 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) 1)
(+.f64 (+.f64 (fma.f64 -1 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (/.f64 alpha (+.f64 beta 2))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) -1)
(+.f64 -1 (+.f64 (fma.f64 -1 (/.f64 alpha (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (/.f64 alpha (+.f64 beta 2))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(neg.f64 (/.f64 (+.f64 beta 2) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))
(fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))) (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))) (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))))
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(neg.f64 (/.f64 (+.f64 beta 2) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))
(fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))) (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))) (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))))
(-.f64 (/.f64 alpha (+.f64 2 alpha)) 1)
(+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)
(+.f64 -1 (/.f64 alpha (+.f64 alpha 2)))
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2)))) 1)
(+.f64 (/.f64 alpha (+.f64 alpha 2)) (-.f64 (neg.f64 (/.f64 beta (/.f64 (pow.f64 (+.f64 alpha 2) 2) alpha))) 1))
(+.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 (/.f64 (neg.f64 beta) (/.f64 (pow.f64 (+.f64 alpha 2) 2) alpha)) -1))
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2))))) 1)
(+.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 (neg.f64 (/.f64 beta (/.f64 (pow.f64 (+.f64 alpha 2) 2) alpha))) (/.f64 (*.f64 alpha (*.f64 beta beta)) (pow.f64 (+.f64 alpha 2) 3)))) -1)
(+.f64 (+.f64 (/.f64 (neg.f64 beta) (/.f64 (pow.f64 (+.f64 alpha 2) 2) alpha)) (/.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 3) (*.f64 beta beta)))) (+.f64 -1 (/.f64 alpha (+.f64 alpha 2))))
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 3) alpha) (pow.f64 (+.f64 2 alpha) 4))) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2)))))) 1)
(+.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 (/.f64 (*.f64 alpha (*.f64 beta beta)) (pow.f64 (+.f64 alpha 2) 3)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 beta 3) (/.f64 (pow.f64 (+.f64 alpha 2) 4) alpha)) (/.f64 beta (/.f64 (pow.f64 (+.f64 alpha 2) 2) alpha)))))) -1)
(+.f64 -1 (+.f64 (/.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 3) (*.f64 beta beta))) (+.f64 (*.f64 -1 (+.f64 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 alpha 2) 2)) (*.f64 (pow.f64 beta 3) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4))))) (/.f64 alpha (+.f64 alpha 2)))))
-1
(-.f64 (/.f64 alpha beta) 1)
(+.f64 (/.f64 alpha beta) -1)
(+.f64 -1 (/.f64 alpha beta))
(-.f64 (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) 1)
(+.f64 (/.f64 alpha beta) (-.f64 (neg.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha))) 1))
(+.f64 (/.f64 alpha beta) (-.f64 (/.f64 (*.f64 (neg.f64 alpha) (+.f64 alpha 2)) (*.f64 beta beta)) 1))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))) 1)
(+.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) alpha)) (+.f64 (/.f64 alpha beta) (-.f64 (neg.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha))) 1)))
(+.f64 -1 (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 (*.f64 (neg.f64 alpha) (+.f64 alpha 2)) (*.f64 beta beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) alpha)))))
-1
(-.f64 (/.f64 alpha beta) 1)
(+.f64 (/.f64 alpha beta) -1)
(+.f64 -1 (/.f64 alpha beta))
(-.f64 (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) 1)
(+.f64 (/.f64 alpha beta) (-.f64 (neg.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha))) 1))
(+.f64 (/.f64 alpha beta) (-.f64 (/.f64 (*.f64 (neg.f64 alpha) (+.f64 alpha 2)) (*.f64 beta beta)) 1))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))) 1)
(+.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) alpha)) (+.f64 (/.f64 alpha beta) (-.f64 (neg.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha))) 1)))
(+.f64 -1 (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 (*.f64 (neg.f64 alpha) (+.f64 alpha 2)) (*.f64 beta beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) alpha)))))
(/.f64 beta (+.f64 2 alpha))
(/.f64 beta (+.f64 alpha 2))
(+.f64 (/.f64 beta (+.f64 2 alpha)) (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))))
(+.f64 (/.f64 beta (+.f64 alpha 2)) (neg.f64 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))))
(+.f64 (/.f64 beta (+.f64 alpha 2)) (/.f64 (*.f64 beta (neg.f64 beta)) (pow.f64 (+.f64 alpha 2) 2)))
(+.f64 (/.f64 beta (+.f64 2 alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3))))
(+.f64 (/.f64 beta (+.f64 alpha 2)) (fma.f64 -1 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))))
(+.f64 (/.f64 beta (+.f64 alpha 2)) (fma.f64 -1 (/.f64 beta (/.f64 (pow.f64 (+.f64 alpha 2) 2) beta)) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 4) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 (/.f64 beta (+.f64 2 alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3)))))
(fma.f64 -1 (/.f64 (pow.f64 beta 4) (pow.f64 (+.f64 alpha 2) 4)) (+.f64 (/.f64 beta (+.f64 alpha 2)) (fma.f64 -1 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))))
(fma.f64 -1 (/.f64 (pow.f64 beta 4) (pow.f64 (+.f64 alpha 2) 4)) (+.f64 (/.f64 beta (+.f64 alpha 2)) (fma.f64 -1 (/.f64 beta (/.f64 (pow.f64 (+.f64 alpha 2) 2) beta)) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)))
(+.f64 1 (neg.f64 (/.f64 (+.f64 alpha 2) beta)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(+.f64 1 (fma.f64 -1 (/.f64 (+.f64 alpha 2) beta) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))
(+.f64 1 (fma.f64 -1 (/.f64 (+.f64 alpha 2) beta) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)))
(+.f64 1 (neg.f64 (/.f64 (+.f64 alpha 2) beta)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(+.f64 1 (fma.f64 -1 (/.f64 (+.f64 alpha 2) beta) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))
(+.f64 1 (fma.f64 -1 (/.f64 (+.f64 alpha 2) beta) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))))
(/.f64 beta (+.f64 beta 2))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (+.f64 beta 2)))
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1
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1
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(/.f64 alpha beta)
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2
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2
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(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 2) (cbrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))

localize3.0ms (0%)

Compiler

Compiled 6 to 6 computations (0% saved)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 alpha (+.f64 alpha 2))
2.0b
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
Compiler

Compiled 29 to 21 computations (27.6% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite76.0ms (0.4%)

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
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2))))))))

simplify100.0ms (0.5%)

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

localize37.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
1.4b
(+.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))) (/.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (-.f64 beta alpha))) 1)
1.9b
(-.f64 (*.f64 beta beta) (*.f64 alpha alpha))
7.0b
(/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))) (/.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (-.f64 beta alpha)))
27.3b
(/.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (-.f64 beta alpha))
Compiler

Compiled 147 to 48 computations (67.3% saved)

series36.0ms (0.2%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
18.0ms
alpha
@inf
(/.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (-.f64 beta alpha))
3.0ms
alpha
@0
(/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))) (/.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (-.f64 beta alpha)))
3.0ms
beta
@-inf
(+.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))) (/.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (-.f64 beta alpha))) 1)
2.0ms
beta
@inf
(+.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))) (/.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (-.f64 beta alpha))) 1)
1.0ms
alpha
@inf
(+.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))) (/.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (-.f64 beta alpha))) 1)

rewrite124.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
532×+-commutative
476×add-sqr-sqrt
468×pow1
468×*-un-lft-identity
444×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
018202
144782
2790482
Stop Event
node limit
Counts
4 → 236
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (-.f64 beta alpha))
(/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))) (/.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (-.f64 beta alpha)))
(-.f64 (*.f64 beta beta) (*.f64 alpha alpha))
(+.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))) (/.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (-.f64 beta alpha))) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 beta alpha)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 alpha beta)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 beta (/.f64 (-.f64 beta alpha) beta)) (neg.f64 (/.f64 (*.f64 alpha alpha) (-.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 (*.f64 alpha alpha) (-.f64 beta alpha))) (/.f64 beta (/.f64 (-.f64 beta alpha) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 beta (/.f64 (-.f64 beta alpha) beta)) (/.f64 (*.f64 alpha alpha) (-.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 beta alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 alpha alpha) (-.f64 alpha beta)) (/.f64 (*.f64 beta beta) (-.f64 alpha beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 1 (-.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 beta alpha) 1)))) 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)) (neg.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (+.f64 beta (+.f64 alpha 2))) (/.f64 1 (+.f64 beta alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x 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)))) (#(struct:change #<rule egg-rr> (2) ((x 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)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) (-.f64 beta alpha) 1)))))

simplify145.0ms (0.7%)

Algorithm
egg-herbie
Rules
1894×associate-/l*
1600×associate-/r*
942×*-commutative
830×+-commutative
600×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
085418758
1282417506
Stop Event
node limit
Counts
332 → 454
Calls
Call 1
Inputs
alpha
(+.f64 beta alpha)
(+.f64 beta alpha)
(+.f64 beta alpha)
beta
(+.f64 beta alpha)
(+.f64 beta alpha)
(+.f64 beta alpha)
beta
(+.f64 beta alpha)
(+.f64 beta alpha)
(+.f64 beta alpha)
beta
(+.f64 beta alpha)
(+.f64 beta alpha)
(+.f64 beta alpha)
alpha
(+.f64 beta alpha)
(+.f64 beta alpha)
(+.f64 beta alpha)
alpha
(+.f64 beta alpha)
(+.f64 beta alpha)
(+.f64 beta 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 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 -1 (/.f64 (+.f64 beta (*.f64 -2 beta)) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (pow.f64 beta 2)) (pow.f64 beta 2)) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (+.f64 beta (*.f64 -2 beta)) alpha))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 beta (*.f64 -2 beta))) (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2)) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta (*.f64 -2 beta)) alpha)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (pow.f64 beta 2)) (pow.f64 beta 2)) (pow.f64 alpha 2))))) (+.f64 1 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 beta (*.f64 -2 beta))) (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2)) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (+.f64 beta (*.f64 -2 beta))) (*.f64 -1 (+.f64 beta 2)))) (pow.f64 alpha 3))) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 beta 2)) (pow.f64 alpha 3)) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 (pow.f64 beta 2) (*.f64 -2 (pow.f64 beta 2)))) (+.f64 (pow.f64 beta 2) (*.f64 (-.f64 (*.f64 -1 (+.f64 beta (*.f64 -2 beta))) (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2)))) (+.f64 beta 2)) (pow.f64 alpha 3)) (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)))))))))
-1
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -2 beta) 2) alpha)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -2 beta) 2) alpha)))) (+.f64 1 (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -2 beta) 2) (+.f64 beta 2)) (pow.f64 alpha 2))))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (pow.f64 beta 3) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 beta 2))) (+.f64 (*.f64 -1 (*.f64 (-.f64 (+.f64 (*.f64 -1 (pow.f64 beta 2)) (*.f64 2 (pow.f64 beta 2))) (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -2 beta) 2) (+.f64 beta 2))) (pow.f64 beta 2))) (+.f64 beta 2))) (*.f64 -1 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -2 beta) 2)))))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -2 beta) 2) alpha))))) (+.f64 1 (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -2 beta) 2) (+.f64 beta 2)) (pow.f64 alpha 2))))))
(*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))
(+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (pow.f64 alpha 2)) (pow.f64 alpha 2)) (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)))) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) beta) (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))))
(+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (pow.f64 alpha 2)) (pow.f64 alpha 2)) (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)))) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) beta) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (+.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 alpha) alpha) (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2))))) (+.f64 (/.f64 1 (*.f64 (+.f64 2 alpha) alpha)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (pow.f64 alpha 2)) (pow.f64 alpha 2)) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))))))) (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))))
(+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (pow.f64 alpha 2)) (pow.f64 alpha 2)) (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)))) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) beta) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (+.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 alpha) alpha) (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2))))) (+.f64 (/.f64 1 (*.f64 (+.f64 2 alpha) alpha)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (pow.f64 alpha 2)) (pow.f64 alpha 2)) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))))))) (+.f64 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (*.f64 (pow.f64 beta 3) (-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (pow.f64 alpha 2)) (pow.f64 alpha 2)) (*.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 alpha 2)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 alpha) alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)))) (+.f64 (/.f64 1 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (pow.f64 alpha 2)) (pow.f64 alpha 2)) (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)))) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 alpha 2)))))))))))
1
(-.f64 (+.f64 1 (*.f64 -2 (/.f64 alpha beta))) (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))) (+.f64 1 (+.f64 (*.f64 -2 (/.f64 alpha beta)) (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))) (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -2 alpha) 2)) (pow.f64 beta 2)) (*.f64 2 (/.f64 1 beta)))))
(-.f64 (+.f64 1 (+.f64 (*.f64 -2 (/.f64 alpha beta)) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (+.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 beta 3)) (*.f64 -2 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))))))) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 -2 (pow.f64 alpha 2)) (pow.f64 alpha 2)) (+.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -2 alpha) 2)) (*.f64 -1 (pow.f64 alpha 2)))) (+.f64 2 alpha)) (pow.f64 beta 3)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))) (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -2 alpha) 2)) (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -2 alpha) 2) (pow.f64 alpha 2)) (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta))))))))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 (*.f64 -2 alpha) alpha)) (*.f64 -1 (+.f64 2 alpha))) beta)))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (pow.f64 alpha 2)) (*.f64 -1 (pow.f64 alpha 2))) (pow.f64 beta 2))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 (*.f64 -2 alpha) alpha)) (*.f64 -1 (+.f64 2 alpha))) beta)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 (+.f64 (*.f64 -2 alpha) alpha)) (*.f64 -1 (+.f64 2 alpha)))) (pow.f64 beta 2))) (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)))))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (pow.f64 alpha 2)) (*.f64 -1 (pow.f64 alpha 2))) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 (*.f64 -2 alpha) alpha)) (*.f64 -1 (+.f64 2 alpha))) beta)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (pow.f64 alpha 3)) (+.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 (+.f64 (*.f64 2 (pow.f64 alpha 2)) (*.f64 -1 (pow.f64 alpha 2)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 (+.f64 (*.f64 -2 alpha) alpha)) (*.f64 -1 (+.f64 2 alpha))))) (*.f64 -1 (pow.f64 alpha 2)))))) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (+.f64 (*.f64 -2 alpha) alpha)) (*.f64 -1 (+.f64 2 alpha))) (pow.f64 alpha 2)))))) (pow.f64 beta 3)))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 (+.f64 (*.f64 -2 alpha) alpha)) (*.f64 -1 (+.f64 2 alpha)))) (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 (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)))
(+.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 (/.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 1 (+.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 (*.f64 -1 (+.f64 beta (*.f64 -2 beta))) (*.f64 -1 (+.f64 beta 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 beta (*.f64 -2 beta)) alpha))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 beta (*.f64 -2 beta))) (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2)) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
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2
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2
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(*.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(*.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))
(*.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(/.f64 1 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)) (neg.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 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 (log1p.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (+.f64 beta (+.f64 alpha 2))) (/.f64 1 (+.f64 beta alpha)) 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)
(fma.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) (-.f64 beta alpha) 1)
Outputs
alpha
(+.f64 beta alpha)
(+.f64 alpha beta)
(+.f64 beta alpha)
(+.f64 alpha beta)
(+.f64 beta alpha)
(+.f64 alpha beta)
beta
(+.f64 beta alpha)
(+.f64 alpha beta)
(+.f64 beta alpha)
(+.f64 alpha beta)
(+.f64 beta alpha)
(+.f64 alpha beta)
beta
(+.f64 beta alpha)
(+.f64 alpha beta)
(+.f64 beta alpha)
(+.f64 alpha beta)
(+.f64 beta alpha)
(+.f64 alpha beta)
beta
(+.f64 beta alpha)
(+.f64 alpha beta)
(+.f64 beta alpha)
(+.f64 alpha beta)
(+.f64 beta alpha)
(+.f64 alpha beta)
alpha
(+.f64 beta alpha)
(+.f64 alpha beta)
(+.f64 beta alpha)
(+.f64 alpha beta)
(+.f64 beta alpha)
(+.f64 alpha beta)
alpha
(+.f64 beta alpha)
(+.f64 alpha beta)
(+.f64 beta alpha)
(+.f64 alpha beta)
(+.f64 beta alpha)
(+.f64 alpha 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)))
(fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (/.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))))
(fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (/.f64 beta (+.f64 beta 2)) (/.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (/.f64 (+.f64 beta 2) (*.f64 alpha alpha)))))
(+.f64 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (/.f64 beta (+.f64 beta 2))) (/.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 (+.f64 beta 2) alpha) alpha)))
(+.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)))))
(fma.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))) (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (/.f64 beta (+.f64 beta 2)) (/.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (/.f64 (+.f64 beta 2) (*.f64 alpha alpha))))))
(fma.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 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (/.f64 beta (+.f64 beta 2))) (/.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 (+.f64 beta 2) alpha) alpha))))
-1
(-.f64 (*.f64 -1 (/.f64 (+.f64 beta (*.f64 -2 beta)) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1))
(-.f64 (/.f64 (*.f64 -1 (-.f64 (*.f64 -1 beta) (+.f64 beta 2))) alpha) 1)
(-.f64 (/.f64 -1 (/.f64 alpha (-.f64 (*.f64 beta -1) (+.f64 beta 2)))) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (pow.f64 beta 2)) (pow.f64 beta 2)) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (+.f64 beta (*.f64 -2 beta)) alpha))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 beta (*.f64 -2 beta))) (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2)) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))))
(-.f64 (*.f64 -1 (+.f64 (/.f64 (neg.f64 (*.f64 beta beta)) (*.f64 alpha alpha)) (/.f64 (*.f64 -1 beta) alpha))) (+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) 1) (+.f64 (/.f64 (*.f64 -1 (-.f64 (*.f64 -1 beta) (+.f64 beta 2))) (/.f64 (*.f64 alpha alpha) (+.f64 beta 2))) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))))
(+.f64 (/.f64 (neg.f64 (neg.f64 (*.f64 beta beta))) (*.f64 alpha alpha)) (-.f64 (-.f64 (/.f64 -1 (/.f64 alpha (-.f64 (*.f64 beta -1) (+.f64 beta 2)))) 1) (+.f64 (/.f64 (+.f64 beta 2) (/.f64 (*.f64 alpha alpha) (*.f64 -1 (-.f64 (*.f64 beta -1) (+.f64 beta 2))))) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta (*.f64 -2 beta)) alpha)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (pow.f64 beta 2)) (pow.f64 beta 2)) (pow.f64 alpha 2))))) (+.f64 1 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 beta (*.f64 -2 beta))) (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2)) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (+.f64 beta (*.f64 -2 beta))) (*.f64 -1 (+.f64 beta 2)))) (pow.f64 alpha 3))) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 beta 2)) (pow.f64 alpha 3)) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 (pow.f64 beta 2) (*.f64 -2 (pow.f64 beta 2)))) (+.f64 (pow.f64 beta 2) (*.f64 (-.f64 (*.f64 -1 (+.f64 beta (*.f64 -2 beta))) (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2)))) (+.f64 beta 2)) (pow.f64 alpha 3)) (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)))))))))
(-.f64 (fma.f64 -1 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (*.f64 -1 (+.f64 (/.f64 (neg.f64 (*.f64 beta beta)) (*.f64 alpha alpha)) (/.f64 (*.f64 -1 beta) alpha)))) (+.f64 1 (+.f64 (/.f64 (*.f64 -1 (-.f64 (*.f64 -1 beta) (+.f64 beta 2))) (/.f64 (*.f64 alpha alpha) (+.f64 beta 2))) (+.f64 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (fma.f64 -1 (/.f64 (*.f64 beta beta) (/.f64 (pow.f64 alpha 3) (*.f64 -1 (-.f64 (*.f64 -1 beta) (+.f64 beta 2))))) (+.f64 (/.f64 (*.f64 beta beta) (/.f64 (pow.f64 alpha 3) (+.f64 beta 2))) (+.f64 (neg.f64 (/.f64 (+.f64 beta 2) alpha)) (/.f64 (+.f64 beta 2) (/.f64 (pow.f64 alpha 3) (-.f64 (neg.f64 (neg.f64 (*.f64 beta beta))) (+.f64 (*.f64 beta beta) (*.f64 (+.f64 beta 2) (*.f64 -1 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))))))))))))))
(-.f64 (fma.f64 -1 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (fma.f64 -1 (/.f64 -1 (/.f64 alpha beta)) (/.f64 (neg.f64 (neg.f64 (*.f64 beta beta))) (*.f64 alpha alpha)))) (+.f64 1 (+.f64 (/.f64 (+.f64 beta 2) (/.f64 (*.f64 alpha alpha) (*.f64 -1 (-.f64 (*.f64 beta -1) (+.f64 beta 2))))) (+.f64 (/.f64 (+.f64 beta 2) (/.f64 (pow.f64 alpha 3) (-.f64 (-.f64 (neg.f64 (neg.f64 (*.f64 beta beta))) (*.f64 beta beta)) (*.f64 (+.f64 beta 2) (*.f64 -1 (-.f64 (*.f64 beta -1) (+.f64 beta 2))))))) (+.f64 (fma.f64 -1 (/.f64 (*.f64 -1 (-.f64 (*.f64 beta -1) (+.f64 beta 2))) (/.f64 (pow.f64 alpha 3) (*.f64 beta beta))) (+.f64 (/.f64 (neg.f64 (+.f64 beta 2)) alpha) (/.f64 (+.f64 beta 2) (/.f64 (pow.f64 alpha 3) (*.f64 beta beta))))) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))))))
-1
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -2 beta) 2) alpha)) 1)
(fma.f64 -1 (/.f64 (fma.f64 -2 beta -2) alpha) -1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -2 beta) 2) alpha)))) (+.f64 1 (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -2 beta) 2) (+.f64 beta 2)) (pow.f64 alpha 2))))))
(-.f64 (fma.f64 -1 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (fma.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (neg.f64 (/.f64 (fma.f64 -2 beta -2) alpha)))) (+.f64 1 (+.f64 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 (neg.f64 (*.f64 (+.f64 beta 2) (fma.f64 -2 beta -2))) (*.f64 alpha alpha)))))
(-.f64 (fma.f64 -1 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (fma.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (neg.f64 (/.f64 (fma.f64 -2 beta -2) alpha)))) (+.f64 (/.f64 (neg.f64 (*.f64 (+.f64 beta 2) (fma.f64 -2 beta -2))) (*.f64 alpha alpha)) (+.f64 1 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (pow.f64 beta 3) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 beta 2))) (+.f64 (*.f64 -1 (*.f64 (-.f64 (+.f64 (*.f64 -1 (pow.f64 beta 2)) (*.f64 2 (pow.f64 beta 2))) (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -2 beta) 2) (+.f64 beta 2))) (pow.f64 beta 2))) (+.f64 beta 2))) (*.f64 -1 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -2 beta) 2)))))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -2 beta) 2) alpha))))) (+.f64 1 (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -2 beta) 2) (+.f64 beta 2)) (pow.f64 alpha 2))))))
(-.f64 (fma.f64 -1 (/.f64 (-.f64 (pow.f64 beta 3) (fma.f64 -1 (*.f64 (+.f64 beta 2) (*.f64 beta beta)) (*.f64 -1 (+.f64 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 (*.f64 beta beta) 1) (fma.f64 -1 (*.f64 (+.f64 beta 2) (fma.f64 -2 beta -2)) (*.f64 beta beta)))) (*.f64 (*.f64 beta beta) (fma.f64 -2 beta -2)))))) (pow.f64 alpha 3)) (fma.f64 -1 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (fma.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (neg.f64 (/.f64 (fma.f64 -2 beta -2) alpha))))) (+.f64 1 (+.f64 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 (neg.f64 (*.f64 (+.f64 beta 2) (fma.f64 -2 beta -2))) (*.f64 alpha alpha)))))
(-.f64 (fma.f64 -1 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (fma.f64 -1 (/.f64 (-.f64 (pow.f64 beta 3) (fma.f64 -1 (*.f64 (+.f64 beta 2) (*.f64 beta beta)) (*.f64 -1 (+.f64 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 1 (*.f64 beta beta)) (fma.f64 -1 (*.f64 (+.f64 beta 2) (fma.f64 -2 beta -2)) (*.f64 beta beta)))) (*.f64 (*.f64 beta beta) (fma.f64 -2 beta -2)))))) (pow.f64 alpha 3)) (fma.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (neg.f64 (/.f64 (fma.f64 -2 beta -2) alpha))))) (+.f64 (/.f64 (neg.f64 (*.f64 (+.f64 beta 2) (fma.f64 -2 beta -2))) (*.f64 alpha alpha)) (+.f64 1 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))))
(*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))
(neg.f64 (/.f64 alpha (+.f64 alpha 2)))
(/.f64 (neg.f64 alpha) (+.f64 alpha 2))
(+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (pow.f64 alpha 2)) (pow.f64 alpha 2)) (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)))) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) beta) (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))))
(fma.f64 (*.f64 -1 (-.f64 (/.f64 (neg.f64 (*.f64 alpha alpha)) (*.f64 (*.f64 alpha alpha) (+.f64 alpha 2))) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)))) beta (neg.f64 (/.f64 alpha (+.f64 alpha 2))))
(fma.f64 (*.f64 -1 (-.f64 (/.f64 alpha (/.f64 (*.f64 (*.f64 alpha alpha) (+.f64 alpha 2)) (neg.f64 alpha))) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)))) beta (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))
(+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (pow.f64 alpha 2)) (pow.f64 alpha 2)) (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)))) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) beta) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (+.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 alpha) alpha) (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2))))) (+.f64 (/.f64 1 (*.f64 (+.f64 2 alpha) alpha)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (pow.f64 alpha 2)) (pow.f64 alpha 2)) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))))))) (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))))
(fma.f64 (*.f64 -1 (-.f64 (/.f64 (neg.f64 (*.f64 alpha alpha)) (*.f64 (*.f64 alpha alpha) (+.f64 alpha 2))) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)))) beta (fma.f64 (*.f64 beta beta) (-.f64 (*.f64 -1 (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 (neg.f64 (/.f64 alpha (+.f64 alpha 2))) (*.f64 alpha alpha)))) (+.f64 (/.f64 1 (*.f64 alpha (+.f64 alpha 2))) (neg.f64 (/.f64 (neg.f64 (*.f64 alpha alpha)) (*.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2)))))) (neg.f64 (/.f64 alpha (+.f64 alpha 2)))))
(fma.f64 (*.f64 -1 (-.f64 (/.f64 alpha (/.f64 (*.f64 (*.f64 alpha alpha) (+.f64 alpha 2)) (neg.f64 alpha))) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)))) beta (fma.f64 (*.f64 beta beta) (-.f64 (*.f64 -1 (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) (*.f64 alpha alpha)))) (+.f64 (/.f64 (/.f64 1 alpha) (+.f64 alpha 2)) (neg.f64 (/.f64 (neg.f64 (*.f64 alpha alpha)) (*.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2)))))) (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))
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2
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(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(+.f64 1 (/.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))
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
(fma.f64 (/.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (+.f64 beta (+.f64 alpha 2))) (/.f64 1 (+.f64 beta alpha)) 1)
(fma.f64 (/.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (+.f64 beta (+.f64 alpha 2))) (/.f64 1 (+.f64 alpha beta)) 1)
(+.f64 1 (/.f64 (/.f64 1 (/.f64 1 (-.f64 beta alpha))) (+.f64 beta (+.f64 alpha 2))))
(fma.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
(fma.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
(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 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
(fma.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) (-.f64 beta alpha) 1)
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))

localize56.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.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))))))
0.1b
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)
1.3b
(+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))
1.4b
(-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
Compiler

Compiled 172 to 100 computations (41.9% saved)

series53.0ms (0.3%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
10.0ms
beta
@0
(/.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))))))
8.0ms
alpha
@0
(/.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))))))
5.0ms
alpha
@inf
(+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))
5.0ms
alpha
@inf
(/.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))))))
4.0ms
alpha
@-inf
(/.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))))))

rewrite116.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
498×+-commutative
488×associate-+l+
434×add-sqr-sqrt
422×*-un-lft-identity
418×pow1
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
017208
1419208
26317130
Stop Event
node limit
Counts
4 → 149
Calls
Call 1
Inputs
(-.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))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)
(/.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))))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (-.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))) 1) 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 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 2 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.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))) 6) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 2 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) 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simplify405.0ms (2%)

Algorithm
egg-herbie
Rules
1390×associate-*r*
1130×associate-*l*
824×+-commutative
816×associate--l+
686×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0129952931
1461652511
Stop Event
node limit
Counts
245 → 439
Calls
Call 1
Inputs
(+.f64 (/.f64 alpha (+.f64 2 alpha)) 1)
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (*.f64 -1 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))))))
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (*.f64 -1 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))))) (*.f64 (pow.f64 beta 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))))))))
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(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
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2
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2
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2
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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)
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1
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1
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2
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(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 9))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 6) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 6) 1) (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 1))
(pow.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) 1)
(pow.f64 (hypot.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3/2)) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))) 3)
(pow.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) 2))
(log.f64 (exp.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)))))
(cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) 3))
(expm1.f64 (log.f64 (+.f64 2 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))))
(exp.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)))
(exp.f64 (*.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))))
(fma.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 1)
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) 1)
(fma.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)
(fma.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3/2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3/2) 1)
(+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 1))
(+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 0)
(-.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) 1)
(-.f64 (exp.f64 (log.f64 (+.f64 2 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)))) 2)
(-.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))) (+.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 6) (-.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 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 1)
(*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3/2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3/2))
(*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (pow.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) (*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4)) (*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (pow.f64 (-.f64 beta alpha) 3) (/.f64 1 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3)))
(*.f64 (pow.f64 (-.f64 beta alpha) 3) (pow.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 3))
(*.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 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 (pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3) (pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3))
(/.f64 1 (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3) (pow.f64 (-.f64 beta alpha) 3)))
(/.f64 1 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) 3))
(/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)))
(/.f64 (pow.f64 (-.f64 beta alpha) 3) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3))
(/.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (neg.f64 (-.f64 beta alpha))) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (*.f64 (-.f64 beta alpha) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (*.f64 (neg.f64 (-.f64 beta alpha)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (neg.f64 (pow.f64 (-.f64 beta alpha) 3)) (neg.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3)))
(/.f64 (pow.f64 (neg.f64 (-.f64 beta alpha)) 3) (pow.f64 (-.f64 -2 (+.f64 beta alpha)) 3))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 6))
(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 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 9))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)))
(exp.f64 (*.f64 3 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)
(+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 1))
(+.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(-.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 0)
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 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 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))
(-.f64 (+.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 1)
(*.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(*.f64 (hypot.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3/2)) (*.f64 (hypot.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3/2)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))
(*.f64 (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 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))) 2) (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))
(*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)
(*.f64 (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)))
(*.f64 (-.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (/.f64 1 (-.f64 -1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2)))))))
(*.f64 (/.f64 1 (hypot.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (hypot.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (/.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)) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))
(*.f64 (/.f64 (+.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))) 4) (pow.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) 1)))
(*.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))) 6) (pow.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3))) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4) (*.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (-.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3/2)) 1) (/.f64 (hypot.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3/2)) (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3/2)) (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 2)) (/.f64 (hypot.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3/2)) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))) (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))) 2) (hypot.f64 (/.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 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))) (hypot.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))) 2) (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 2)) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(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)
(pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)
(pow.f64 (/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) -1)
(neg.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (-.f64 -1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2)))))))
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2))
(log.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) 3) (pow.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (/.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 (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 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
Outputs
(+.f64 (/.f64 alpha (+.f64 2 alpha)) 1)
(+.f64 (/.f64 alpha (+.f64 alpha 2)) 1)
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (*.f64 -1 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))))))
(+.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) 1) (*.f64 (neg.f64 beta) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2)))))
(+.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) 1) (*.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (neg.f64 beta)))
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (*.f64 -1 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))))) (*.f64 (pow.f64 beta 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))))))))
(+.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) 1) (fma.f64 -1 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2)))) (*.f64 (*.f64 beta beta) (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3))))))
(+.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) 1) (fma.f64 -1 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2)))) (*.f64 beta (*.f64 beta (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)))))))
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2
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2
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2
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(-.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 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 1 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 beta) 3))) (*.f64 alpha (/.f64 (*.f64 (*.f64 beta beta) -3) (/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))))
(+.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))))
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(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 -2 (/.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 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 (*.f64 (*.f64 beta -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))))))) (+.f64 2 beta)) (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 (*.f64 2 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 (*.f64 -2 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2)) beta) (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 (*.f64 2 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) -3) (/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))))))
(/.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 -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)) (/.f64 (neg.f64 (*.f64 (+.f64 2 beta) (-.f64 beta (+.f64 (neg.f64 beta) -2)))) (*.f64 alpha alpha))))) (/.f64 (+.f64 (neg.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)) (/.f64 (*.f64 (+.f64 (neg.f64 beta) -2) (-.f64 beta (+.f64 (neg.f64 beta) -2))) (*.f64 alpha alpha))))) (/.f64 (+.f64 (neg.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 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 2 (/.f64 (*.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (+.f64 beta 2)) (pow.f64 alpha 3))) (/.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 -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)))))))))))) (/.f64 (+.f64 (neg.f64 beta) -2) alpha))
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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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-1
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-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 (neg.f64 beta) (+.f64 2 beta)))) (+.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)
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(-.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 -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 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.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)) (-.f64 (*.f64 -1 beta) (+.f64 beta 2))) (+.f64 (*.f64 -2 (*.f64 (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2) (+.f64 beta 2))) (*.f64 -1 (+.f64 (*.f64 -2 (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 (+.f64 beta 2) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2)) (*.f64 (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2) (+.f64 beta 2)))))))) (pow.f64 alpha 3))))))) 1)
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(/.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 3)) (hypot.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) (sqrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))))) (hypot.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) (sqrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (/.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)) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) 2)) (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 3)) (cbrt.f64 (-.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 3)) (cbrt.f64 (-.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))) (pow.f64 (cbrt.f64 (-.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 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))) 4) (pow.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) 1)))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 3)) (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 4) (pow.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) 2))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2) -1)))
(*.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))) 6) (pow.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3))) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4) (*.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (-.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 3)) (+.f64 (pow.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) 3) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 6))) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 4) (*.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) (-.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))))))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3/2)) 1) (/.f64 (hypot.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3/2)) (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(/.f64 (pow.f64 (hypot.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 3/2)) 2) (-.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3/2)) (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 2)) (/.f64 (hypot.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3/2)) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))
(/.f64 (*.f64 (hypot.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 3/2)) (/.f64 (hypot.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 3/2)) (cbrt.f64 (-.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))))) (pow.f64 (cbrt.f64 (-.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) 2))
(/.f64 (/.f64 (pow.f64 (hypot.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 3/2)) 2) (cbrt.f64 (-.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))) (pow.f64 (cbrt.f64 (-.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))) (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 3)) (-.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))) 2) (hypot.f64 (/.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 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))) (hypot.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))
(*.f64 (/.f64 1 (hypot.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) (sqrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))))) (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 3)) (hypot.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) (sqrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 3)) (hypot.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) (sqrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))))) (hypot.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) (sqrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))) 2) (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 2)) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 3))) 2) (pow.f64 (cbrt.f64 (-.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) 2)))
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 3)
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))
(pow.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3) 1/3)
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))
(pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))
(pow.f64 (/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) -1)
(/.f64 1 (/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))))
(neg.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (-.f64 -1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2)))))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 3))) (-.f64 -1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 3))) (+.f64 (-.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2))
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) 2))
(log.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) 3) (pow.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 3)) 3) (pow.f64 (-.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) 3)))
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1))
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))

eval2.9s (14.7%)

Compiler

Compiled 110877 to 75482 computations (31.9% saved)

prune736.0ms (3.7%)

Pruning

24 alts after pruning (20 fresh and 4 done)

PrunedKeptTotal
New1812181830
Fresh628
Picked101
Done145
Total1820241844
Error
0.1b
Counts
1844 → 24
Alt Table
Click to see full alt table
StatusErrorProgram
18.0b
(/.f64 (/.f64 (pow.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) 3) 1/3) (+.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)
17.7b
(/.f64 (/.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (-.f64 1 (*.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) beta)))) (*.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (/.f64 (+.f64 alpha (+.f64 beta 2)) beta))) 2)
43.4b
(/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2)
18.1b
(/.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) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 3))) 2)
18.0b
(/.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3)) (+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) (-.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)))) 2)
47.8b
(/.f64 (/.f64 2 alpha) 2)
17.3b
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2)) (-.f64 -1 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))))) 2)
17.3b
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
48.2b
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))) (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))))) 2)
43.4b
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 (+.f64 beta 2) alpha))) 2)
19.8b
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) -1) 2)
48.9b
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
48.9b
(/.f64 (-.f64 (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3))) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4)))) 2)
18.1b
(/.f64 (-.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) 2)
26.9b
(/.f64 (-.f64 (*.f64 (/.f64 beta (-.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))) (-.f64 (+.f64 alpha 2) beta)) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
17.3b
(/.f64 (-.f64 (*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) beta) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
34.6b
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
36.2b
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
18.0b
(/.f64 (+.f64 (/.f64 (/.f64 1 (/.f64 1 (-.f64 beta alpha))) (+.f64 beta (+.f64 alpha 2))) 1) 2)
18.0b
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
19.8b
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
48.6b
(/.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) 2)
40.5b
(/.f64 2 2)
34.7b
(/.f64 1 2)
Compiler

Compiled 1040 to 762 computations (26.7% saved)

localize38.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) beta) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))
0.0b
(/.f64 1 (+.f64 alpha (+.f64 beta 2)))
0.1b
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) beta)
1.4b
(-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)
Compiler

Compiled 94 to 63 computations (33% saved)

series3.0ms (0%)

Counts
3 → 72
Calls

18 calls:

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

rewrite115.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1528×associate-/l*
484×associate-+l+
482×+-commutative
400×add-sqr-sqrt
390×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01587
137287
2587587
Stop Event
node limit
Counts
3 → 172
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) beta)
(/.f64 1 (+.f64 alpha (+.f64 beta 2)))
(-.f64 (*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) beta) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))
Outputs
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#<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 2) (cbrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))))

simplify134.0ms (0.7%)

Algorithm
egg-herbie
Rules
1056×fma-def
838×+-commutative
734×associate-+r+
716×associate-+l+
460×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
064718188
1186217742
Stop Event
node limit
Counts
244 → 405
Calls
Call 1
Inputs
(/.f64 beta (+.f64 beta 2))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (+.f64 beta 2)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (+.f64 beta 2))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 beta 2) 3)) (+.f64 (/.f64 beta (+.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 4))))))
(/.f64 beta alpha)
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 beta alpha))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (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 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))
(/.f64 beta alpha)
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 beta alpha))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (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 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))
(/.f64 beta (+.f64 2 alpha))
(+.f64 (/.f64 beta (+.f64 2 alpha)) (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))))
(+.f64 (/.f64 beta (+.f64 2 alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 4) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 (/.f64 beta (+.f64 2 alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (*.f64 -1 (/.f64 (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 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 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 (+.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))))
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(/.f64 (-.f64 (*.f64 beta (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))))
(/.f64 (-.f64 (*.f64 beta (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 2))) (neg.f64 (+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) (+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1))))))
(pow.f64 (+.f64 1 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) 1)
(pow.f64 (sqrt.f64 (+.f64 1 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))) 3)
(pow.f64 (pow.f64 (+.f64 1 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 1 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) 2))
(log.f64 (exp.f64 (+.f64 1 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))))))
(cbrt.f64 (pow.f64 (+.f64 1 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) 3))
(expm1.f64 (log.f64 (+.f64 2 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))
(exp.f64 (log.f64 (+.f64 1 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))
(exp.f64 (*.f64 (log.f64 (+.f64 1 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))
(fma.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(fma.f64 beta (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(fma.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) beta (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 2) (cbrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
Outputs
(/.f64 beta (+.f64 beta 2))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (+.f64 beta 2)))
(fma.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2)) (/.f64 beta (+.f64 beta 2)))
(-.f64 (/.f64 beta (+.f64 beta 2)) (*.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) alpha))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (+.f64 beta 2))))
(fma.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (/.f64 beta (+.f64 beta 2)) (/.f64 (*.f64 beta (*.f64 alpha alpha)) (pow.f64 (+.f64 beta 2) 3))))
(+.f64 (-.f64 (/.f64 beta (+.f64 beta 2)) (*.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) alpha)) (*.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)) (*.f64 alpha alpha)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 beta 2) 3)) (+.f64 (/.f64 beta (+.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 4))))))
(fma.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (/.f64 (*.f64 beta (*.f64 alpha alpha)) (pow.f64 (+.f64 beta 2) 3)) (+.f64 (/.f64 beta (+.f64 beta 2)) (neg.f64 (/.f64 beta (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 3)))))))
(-.f64 (+.f64 (*.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)) (*.f64 alpha alpha)) (-.f64 (/.f64 beta (+.f64 beta 2)) (*.f64 (pow.f64 alpha 3) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (*.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) alpha))
(/.f64 beta alpha)
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 beta alpha))
(fma.f64 -1 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 beta 2))) (/.f64 beta alpha))
(+.f64 (/.f64 beta alpha) (/.f64 (*.f64 (-.f64 -2 beta) beta) (*.f64 alpha alpha)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))
(+.f64 (fma.f64 -1 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 beta 2))) (/.f64 beta alpha)) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))
(+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (*.f64 (-.f64 -2 beta) beta) (*.f64 alpha alpha)) (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 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 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))
(fma.f64 -1 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 beta 2))) (fma.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4)) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))
(+.f64 (+.f64 (/.f64 beta alpha) (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (*.f64 (-.f64 -2 beta) beta) (*.f64 alpha alpha)) (*.f64 (/.f64 beta (pow.f64 alpha 4)) (pow.f64 (+.f64 beta 2) 3))))
(/.f64 beta alpha)
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 beta alpha))
(fma.f64 -1 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 beta 2))) (/.f64 beta alpha))
(+.f64 (/.f64 beta alpha) (/.f64 (*.f64 (-.f64 -2 beta) beta) (*.f64 alpha alpha)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))
(+.f64 (fma.f64 -1 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 beta 2))) (/.f64 beta alpha)) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))
(+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (*.f64 (-.f64 -2 beta) beta) (*.f64 alpha alpha)) (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 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 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))
(fma.f64 -1 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 beta 2))) (fma.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4)) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))
(+.f64 (+.f64 (/.f64 beta alpha) (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (*.f64 (-.f64 -2 beta) beta) (*.f64 alpha alpha)) (*.f64 (/.f64 beta (pow.f64 alpha 4)) (pow.f64 (+.f64 beta 2) 3))))
(/.f64 beta (+.f64 2 alpha))
(+.f64 (/.f64 beta (+.f64 2 alpha)) (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))))
(+.f64 (/.f64 beta (+.f64 2 alpha)) (neg.f64 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2))))
(-.f64 (/.f64 beta (+.f64 2 alpha)) (/.f64 beta (/.f64 (pow.f64 (+.f64 2 alpha) 2) beta)))
(+.f64 (/.f64 beta (+.f64 2 alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (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 -1 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2)) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3))))
(+.f64 (-.f64 (/.f64 beta (+.f64 2 alpha)) (/.f64 beta (/.f64 (pow.f64 (+.f64 2 alpha) 2) beta))) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 4) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 (/.f64 beta (+.f64 2 alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3)))))
(fma.f64 -1 (/.f64 (pow.f64 beta 4) (pow.f64 (+.f64 2 alpha) 4)) (+.f64 (/.f64 beta (+.f64 2 alpha)) (fma.f64 -1 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2)) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3)))))
(-.f64 (+.f64 (-.f64 (/.f64 beta (+.f64 2 alpha)) (/.f64 beta (/.f64 (pow.f64 (+.f64 2 alpha) 2) beta))) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3))) (/.f64 (pow.f64 beta 4) (pow.f64 (+.f64 2 alpha) 4)))
1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)))
(+.f64 1 (neg.f64 (/.f64 (+.f64 2 alpha) beta)))
(+.f64 1 (/.f64 (-.f64 -2 alpha) beta))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(+.f64 1 (fma.f64 -1 (/.f64 (+.f64 2 alpha) beta) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta beta))))
(+.f64 (+.f64 1 (/.f64 (-.f64 -2 alpha) beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta beta)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))
(+.f64 1 (fma.f64 -1 (/.f64 (+.f64 2 alpha) beta) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta beta)))))
(+.f64 (/.f64 (-.f64 -2 alpha) beta) (+.f64 1 (-.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)))
(+.f64 1 (neg.f64 (/.f64 (+.f64 2 alpha) beta)))
(+.f64 1 (/.f64 (-.f64 -2 alpha) beta))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(+.f64 1 (fma.f64 -1 (/.f64 (+.f64 2 alpha) beta) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta beta))))
(+.f64 (+.f64 1 (/.f64 (-.f64 -2 alpha) beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta beta)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))
(+.f64 1 (fma.f64 -1 (/.f64 (+.f64 2 alpha) beta) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta beta)))))
(+.f64 (/.f64 (-.f64 -2 alpha) beta) (+.f64 1 (-.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (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 (neg.f64 alpha) (pow.f64 (+.f64 beta 2) 2)))
(-.f64 (/.f64 1 (+.f64 beta 2)) (/.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 (neg.f64 alpha) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 3))))
(+.f64 (/.f64 1 (+.f64 beta 2)) (-.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 3)) (/.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 (/.f64 1 (+.f64 beta 2)) (+.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 3)) (fma.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 4)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 beta 2) 2)))))
(+.f64 (/.f64 1 (+.f64 beta 2)) (-.f64 (-.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 3)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 4))) (/.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))
(fma.f64 -1 (/.f64 (+.f64 beta 2) (*.f64 alpha alpha)) (/.f64 1 alpha))
(+.f64 (/.f64 1 alpha) (/.f64 (/.f64 (-.f64 -2 beta) alpha) 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)))
(fma.f64 -1 (/.f64 (+.f64 beta 2) (*.f64 alpha alpha)) (+.f64 (/.f64 1 alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))))
(+.f64 (+.f64 (/.f64 1 alpha) (/.f64 (/.f64 (-.f64 -2 beta) alpha) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)))
(+.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))))
(fma.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 4)) (fma.f64 -1 (/.f64 (+.f64 beta 2) (*.f64 alpha alpha)) (+.f64 (/.f64 1 alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)))))
(-.f64 (+.f64 (+.f64 (/.f64 1 alpha) (/.f64 (/.f64 (-.f64 -2 beta) alpha) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 4)))
(/.f64 1 alpha)
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (/.f64 1 alpha))
(fma.f64 -1 (/.f64 (+.f64 beta 2) (*.f64 alpha alpha)) (/.f64 1 alpha))
(+.f64 (/.f64 1 alpha) (/.f64 (/.f64 (-.f64 -2 beta) alpha) 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)))
(fma.f64 -1 (/.f64 (+.f64 beta 2) (*.f64 alpha alpha)) (+.f64 (/.f64 1 alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))))
(+.f64 (+.f64 (/.f64 1 alpha) (/.f64 (/.f64 (-.f64 -2 beta) alpha) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)))
(+.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))))
(fma.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 4)) (fma.f64 -1 (/.f64 (+.f64 beta 2) (*.f64 alpha alpha)) (+.f64 (/.f64 1 alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)))))
(-.f64 (+.f64 (+.f64 (/.f64 1 alpha) (/.f64 (/.f64 (-.f64 -2 beta) alpha) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 4)))
(/.f64 1 (+.f64 2 alpha))
(+.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (/.f64 1 (+.f64 2 alpha)))
(fma.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))
(-.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 beta (pow.f64 (+.f64 2 alpha) 2)))
(+.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))))
(fma.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 3))))
(-.f64 (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 3))) (/.f64 beta (pow.f64 (+.f64 2 alpha) 2)))
(+.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)))))
(fma.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2)) (fma.f64 -1 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 4)) (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 3)))))
(-.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 3))) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 4))) (/.f64 beta (pow.f64 (+.f64 2 alpha) 2)))
(/.f64 1 beta)
(+.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))))
(+.f64 (/.f64 1 beta) (neg.f64 (/.f64 (+.f64 2 alpha) (*.f64 beta beta))))
(+.f64 (/.f64 1 beta) (/.f64 (-.f64 -2 alpha) (*.f64 beta beta)))
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2
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(sqrt.f64 (pow.f64 (+.f64 1 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) 2))
(sqrt.f64 (pow.f64 (+.f64 1 (-.f64 (/.f64 beta (+.f64 (+.f64 beta 2) alpha)) (/.f64 alpha (+.f64 (+.f64 beta 2) alpha)))) 2))
(fabs.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (-.f64 1 (/.f64 alpha (+.f64 beta (+.f64 2 alpha))))))
(log.f64 (exp.f64 (+.f64 1 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))
(+.f64 1 (-.f64 (/.f64 beta (+.f64 (+.f64 beta 2) alpha)) (/.f64 alpha (+.f64 (+.f64 beta 2) alpha))))
(+.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (-.f64 1 (/.f64 alpha (+.f64 beta (+.f64 2 alpha)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))))))
(+.f64 1 (-.f64 (/.f64 beta (+.f64 (+.f64 beta 2) alpha)) (/.f64 alpha (+.f64 (+.f64 beta 2) alpha))))
(+.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (-.f64 1 (/.f64 alpha (+.f64 beta (+.f64 2 alpha)))))
(cbrt.f64 (pow.f64 (+.f64 1 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) 3))
(+.f64 1 (-.f64 (/.f64 beta (+.f64 (+.f64 beta 2) alpha)) (/.f64 alpha (+.f64 (+.f64 beta 2) alpha))))
(+.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (-.f64 1 (/.f64 alpha (+.f64 beta (+.f64 2 alpha)))))
(expm1.f64 (log.f64 (+.f64 2 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))
(expm1.f64 (log.f64 (+.f64 2 (-.f64 (/.f64 beta (+.f64 (+.f64 beta 2) alpha)) (/.f64 alpha (+.f64 (+.f64 beta 2) alpha))))))
(expm1.f64 (log.f64 (+.f64 2 (-.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (/.f64 alpha (+.f64 beta (+.f64 2 alpha)))))))
(exp.f64 (log.f64 (+.f64 1 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))
(+.f64 1 (-.f64 (/.f64 beta (+.f64 (+.f64 beta 2) alpha)) (/.f64 alpha (+.f64 (+.f64 beta 2) alpha))))
(+.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (-.f64 1 (/.f64 alpha (+.f64 beta (+.f64 2 alpha)))))
(exp.f64 (*.f64 (log.f64 (+.f64 1 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))) 1))
(+.f64 1 (-.f64 (/.f64 beta (+.f64 (+.f64 beta 2) alpha)) (/.f64 alpha (+.f64 (+.f64 beta 2) alpha))))
(+.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (-.f64 1 (/.f64 alpha (+.f64 beta (+.f64 2 alpha)))))
(log1p.f64 (expm1.f64 (+.f64 1 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))
(+.f64 1 (-.f64 (/.f64 beta (+.f64 (+.f64 beta 2) alpha)) (/.f64 alpha (+.f64 (+.f64 beta 2) alpha))))
(+.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (-.f64 1 (/.f64 alpha (+.f64 beta (+.f64 2 alpha)))))
(fma.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(+.f64 1 (-.f64 (/.f64 beta (+.f64 (+.f64 beta 2) alpha)) (/.f64 alpha (+.f64 (+.f64 beta 2) alpha))))
(+.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (-.f64 1 (/.f64 alpha (+.f64 beta (+.f64 2 alpha)))))
(fma.f64 beta (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(+.f64 1 (-.f64 (/.f64 beta (+.f64 (+.f64 beta 2) alpha)) (/.f64 alpha (+.f64 (+.f64 beta 2) alpha))))
(+.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (-.f64 1 (/.f64 alpha (+.f64 beta (+.f64 2 alpha)))))
(fma.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) beta (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(+.f64 1 (-.f64 (/.f64 beta (+.f64 (+.f64 beta 2) alpha)) (/.f64 alpha (+.f64 (+.f64 beta 2) alpha))))
(+.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (-.f64 1 (/.f64 alpha (+.f64 beta (+.f64 2 alpha)))))
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(+.f64 1 (-.f64 (/.f64 beta (+.f64 (+.f64 beta 2) alpha)) (/.f64 alpha (+.f64 (+.f64 beta 2) alpha))))
(+.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (-.f64 1 (/.f64 alpha (+.f64 beta (+.f64 2 alpha)))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 2) (cbrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(+.f64 1 (-.f64 (/.f64 beta (+.f64 (+.f64 beta 2) alpha)) (/.f64 alpha (+.f64 (+.f64 beta 2) alpha))))
(+.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (-.f64 1 (/.f64 alpha (+.f64 beta (+.f64 2 alpha)))))

localize3.0ms (0%)

Compiler

Compiled 7 to 7 computations (0% saved)

localize12.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 29 to 21 computations (27.6% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite60.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
1062×associate-*r/
904×associate-/r*
878×*-commutative
804×associate-*l/
746×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0819
117815
2241915
Stop Event
node limit
Counts
1 → 65
Calls
Call 1
Inputs
(/.f64 (+.f64 2 (*.f64 beta 2)) alpha)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2 alpha) (*.f64 (/.f64 1 alpha) (*.f64 2 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2 alpha) (*.f64 (*.f64 2 beta) (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 alpha) (*.f64 2 beta)) (/.f64 2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 2 beta) (/.f64 1 alpha)) (/.f64 2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 2 beta 2) alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 2 beta 2) (/.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 2 beta 2) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 2 beta 2)) (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (pow.f64 (cbrt.f64 alpha) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2) (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (/.f64 (cbrt.f64 (fma.f64 2 beta 2)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 beta 1) (/.f64 2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 alpha) (fma.f64 2 beta 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -2 (*.f64 beta -2)) (/.f64 -1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) alpha) (sqrt.f64 (fma.f64 2 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) alpha) (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (fma.f64 2 beta 2)) alpha) (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (fma.f64 2 beta 2)) alpha) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 alpha) (+.f64 beta 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 alpha) (/.f64 (+.f64 beta 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 2 beta 2) (sqrt.f64 alpha)) (/.f64 1 (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (fma.f64 2 beta 2) (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (fma.f64 2 beta 2) (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 2 beta 2) (cbrt.f64 alpha)) (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 alpha) (+.f64 -2 (*.f64 beta -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) 1) (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) (cbrt.f64 alpha)) (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) (pow.f64 (cbrt.f64 alpha) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 2 beta 2)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (fma.f64 2 beta 2)) (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (fma.f64 2 beta 2)) (sqrt.f64 alpha)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 1) 1) (/.f64 2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 1) (sqrt.f64 alpha)) (/.f64 2 (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (sqrt.f64 alpha)) (/.f64 (+.f64 beta 1) (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 1) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 2 (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (cbrt.f64 alpha)) (/.f64 (+.f64 beta 1) (pow.f64 (cbrt.f64 alpha) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) alpha) (cbrt.f64 (fma.f64 2 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 1) alpha) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 alpha (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 1 (/.f64 alpha (+.f64 beta 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (-.f64 4 (*.f64 4 (*.f64 beta beta))) alpha) (-.f64 4 (*.f64 4 (*.f64 beta beta)))) (fma.f64 2 beta 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (-.f64 4 (*.f64 4 (*.f64 beta beta))) alpha) (+.f64 8 (*.f64 -8 (pow.f64 beta 3)))) (+.f64 4 (*.f64 4 (+.f64 (*.f64 beta beta) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 beta 3)) 8) alpha) (-.f64 16 (*.f64 (*.f64 beta (-.f64 (*.f64 beta 4) 4)) (*.f64 beta (-.f64 (*.f64 beta 4) 4))))) (-.f64 4 (*.f64 beta (-.f64 (*.f64 beta 4) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 beta 3)) 8) alpha) (+.f64 64 (pow.f64 (*.f64 beta (-.f64 (*.f64 beta 4) 4)) 3))) (+.f64 16 (*.f64 (*.f64 beta (-.f64 (*.f64 beta 4) 4)) (-.f64 (*.f64 beta (-.f64 (*.f64 beta 4) 4)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 alpha (fma.f64 2 beta 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 2 beta 2) (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 -2 (*.f64 beta -2)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (fma.f64 2 beta 2) (neg.f64 alpha)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (fma.f64 2 beta 2) (/.f64 -1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (/.f64 (fma.f64 2 beta 2) (neg.f64 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 2 beta 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 2 beta 2) alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 2 beta 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 2 beta 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 2 beta 2) alpha)))))))

simplify73.0ms (0.4%)

Algorithm
egg-herbie
Rules
1502×associate-+l+
1158×associate-*r/
840×associate-/l*
838×associate-*l/
730×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01752333
14711835
216531823
372891823
Stop Event
node limit
Counts
89 → 85
Calls
Call 1
Inputs
(/.f64 2 alpha)
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 beta alpha))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 beta alpha))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(+.f64 (/.f64 2 alpha) (*.f64 (/.f64 1 alpha) (*.f64 2 beta)))
(+.f64 (/.f64 2 alpha) (*.f64 (*.f64 2 beta) (/.f64 1 alpha)))
(+.f64 (*.f64 (/.f64 1 alpha) (*.f64 2 beta)) (/.f64 2 alpha))
(+.f64 (*.f64 (*.f64 2 beta) (/.f64 1 alpha)) (/.f64 2 alpha))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 2 beta 2) alpha))) 1)
(*.f64 (fma.f64 2 beta 2) (/.f64 1 alpha))
(*.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1)
(*.f64 1 (/.f64 (fma.f64 2 beta 2) alpha))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)))
(*.f64 (sqrt.f64 (fma.f64 2 beta 2)) (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) alpha))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (pow.f64 (cbrt.f64 alpha) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2) (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (/.f64 (cbrt.f64 (fma.f64 2 beta 2)) alpha))
(*.f64 (+.f64 beta 1) (/.f64 2 alpha))
(*.f64 (/.f64 1 alpha) (fma.f64 2 beta 2))
(*.f64 (+.f64 -2 (*.f64 beta -2)) (/.f64 -1 alpha))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) alpha) (sqrt.f64 (fma.f64 2 beta 2)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) alpha) (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) 1))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 2 beta 2)) alpha) (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 2 beta 2)) alpha) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) 1))
(*.f64 (/.f64 2 alpha) (+.f64 beta 1))
(*.f64 (/.f64 2 alpha) (/.f64 (+.f64 beta 1) 1))
(*.f64 (/.f64 (fma.f64 2 beta 2) (sqrt.f64 alpha)) (/.f64 1 (sqrt.f64 alpha)))
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (fma.f64 2 beta 2) (sqrt.f64 alpha)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (fma.f64 2 beta 2) (cbrt.f64 alpha)))
(*.f64 (/.f64 (fma.f64 2 beta 2) (cbrt.f64 alpha)) (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)))
(*.f64 (/.f64 -1 alpha) (+.f64 -2 (*.f64 beta -2)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) 1) (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) alpha))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) (cbrt.f64 alpha)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) (cbrt.f64 alpha)) (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) (pow.f64 (cbrt.f64 alpha) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 2 beta 2)) alpha))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (fma.f64 2 beta 2)) (sqrt.f64 alpha)))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 2 beta 2)) (sqrt.f64 alpha)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (sqrt.f64 alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)))
(*.f64 (/.f64 (+.f64 beta 1) 1) (/.f64 2 alpha))
(*.f64 (/.f64 (+.f64 beta 1) (sqrt.f64 alpha)) (/.f64 2 (sqrt.f64 alpha)))
(*.f64 (/.f64 2 (sqrt.f64 alpha)) (/.f64 (+.f64 beta 1) (sqrt.f64 alpha)))
(*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 2 (cbrt.f64 alpha)))
(*.f64 (/.f64 2 (cbrt.f64 alpha)) (/.f64 (+.f64 beta 1) (pow.f64 (cbrt.f64 alpha) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) alpha) (cbrt.f64 (fma.f64 2 beta 2)))
(*.f64 (/.f64 (+.f64 beta 1) alpha) 2)
(*.f64 (/.f64 1 (/.f64 alpha (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2))) (cbrt.f64 (fma.f64 2 beta 2)))
(*.f64 (/.f64 1 (/.f64 alpha (+.f64 beta 1))) 2)
(*.f64 (/.f64 (/.f64 (-.f64 4 (*.f64 4 (*.f64 beta beta))) alpha) (-.f64 4 (*.f64 4 (*.f64 beta beta)))) (fma.f64 2 beta 2))
(*.f64 (/.f64 (/.f64 (-.f64 4 (*.f64 4 (*.f64 beta beta))) alpha) (+.f64 8 (*.f64 -8 (pow.f64 beta 3)))) (+.f64 4 (*.f64 4 (+.f64 (*.f64 beta beta) beta))))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 beta 3)) 8) alpha) (-.f64 16 (*.f64 (*.f64 beta (-.f64 (*.f64 beta 4) 4)) (*.f64 beta (-.f64 (*.f64 beta 4) 4))))) (-.f64 4 (*.f64 beta (-.f64 (*.f64 beta 4) 4))))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 beta 3)) 8) alpha) (+.f64 64 (pow.f64 (*.f64 beta (-.f64 (*.f64 beta 4) 4)) 3))) (+.f64 16 (*.f64 (*.f64 beta (-.f64 (*.f64 beta 4) 4)) (-.f64 (*.f64 beta (-.f64 (*.f64 beta 4) 4)) 4))))
(pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 3) 1/3)
(pow.f64 (/.f64 alpha (fma.f64 2 beta 2)) -1)
(neg.f64 (/.f64 (fma.f64 2 beta 2) (neg.f64 alpha)))
(neg.f64 (/.f64 (+.f64 -2 (*.f64 beta -2)) alpha))
(neg.f64 (*.f64 (/.f64 (fma.f64 2 beta 2) (neg.f64 alpha)) 1))
(neg.f64 (*.f64 (fma.f64 2 beta 2) (/.f64 -1 alpha)))
(neg.f64 (*.f64 1 (/.f64 (fma.f64 2 beta 2) (neg.f64 alpha))))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 2 beta 2) alpha)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 2 beta 2) alpha))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 3))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 2 beta 2) alpha)))
(exp.f64 (log.f64 (/.f64 (fma.f64 2 beta 2) alpha)))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 2 beta 2) alpha)))
Outputs
(/.f64 2 alpha)
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 2 (/.f64 beta alpha))
(*.f64 (/.f64 2 alpha) beta)
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 2 (/.f64 beta alpha))
(*.f64 (/.f64 2 alpha) beta)
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(+.f64 (/.f64 2 alpha) (*.f64 (/.f64 1 alpha) (*.f64 2 beta)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(+.f64 (/.f64 2 alpha) (*.f64 (*.f64 2 beta) (/.f64 1 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(+.f64 (*.f64 (/.f64 1 alpha) (*.f64 2 beta)) (/.f64 2 alpha))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(+.f64 (*.f64 (*.f64 2 beta) (/.f64 1 alpha)) (/.f64 2 alpha))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 2 beta 2) alpha))) 1)
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (fma.f64 2 beta 2) (/.f64 1 alpha))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1)
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 1 (/.f64 (fma.f64 2 beta 2) alpha))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (sqrt.f64 (fma.f64 2 beta 2)) (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) alpha))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (pow.f64 (cbrt.f64 alpha) 2)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha))) (pow.f64 (cbrt.f64 alpha) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2) (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (/.f64 (cbrt.f64 (fma.f64 2 beta 2)) alpha))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (+.f64 beta 1) (/.f64 2 alpha))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (/.f64 1 alpha) (fma.f64 2 beta 2))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (+.f64 -2 (*.f64 beta -2)) (/.f64 -1 alpha))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) alpha) (sqrt.f64 (fma.f64 2 beta 2)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) alpha) (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) 1))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (/.f64 (cbrt.f64 (fma.f64 2 beta 2)) alpha) (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (/.f64 (cbrt.f64 (fma.f64 2 beta 2)) alpha) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) 1))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (/.f64 2 alpha) (+.f64 beta 1))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (/.f64 2 alpha) (/.f64 (+.f64 beta 1) 1))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (/.f64 (fma.f64 2 beta 2) (sqrt.f64 alpha)) (/.f64 1 (sqrt.f64 alpha)))
(/.f64 (/.f64 (fma.f64 2 beta 2) (sqrt.f64 alpha)) (sqrt.f64 alpha))
(/.f64 (fma.f64 2 beta 2) (*.f64 (sqrt.f64 alpha) (sqrt.f64 alpha)))
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (fma.f64 2 beta 2) (sqrt.f64 alpha)))
(*.f64 (/.f64 (fma.f64 2 beta 2) (sqrt.f64 alpha)) (/.f64 1 (sqrt.f64 alpha)))
(/.f64 (/.f64 (fma.f64 2 beta 2) (sqrt.f64 alpha)) (sqrt.f64 alpha))
(/.f64 (fma.f64 2 beta 2) (*.f64 (sqrt.f64 alpha) (sqrt.f64 alpha)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (fma.f64 2 beta 2) (cbrt.f64 alpha)))
(/.f64 (/.f64 (fma.f64 2 beta 2) (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2))
(*.f64 (/.f64 (fma.f64 2 beta 2) (cbrt.f64 alpha)) (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (fma.f64 2 beta 2) (cbrt.f64 alpha)))
(/.f64 (/.f64 (fma.f64 2 beta 2) (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2))
(*.f64 (/.f64 -1 alpha) (+.f64 -2 (*.f64 beta -2)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) 1) (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) alpha))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) (cbrt.f64 alpha)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (fma.f64 2 beta 2) (cbrt.f64 alpha)))
(/.f64 (/.f64 (fma.f64 2 beta 2) (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) (cbrt.f64 alpha)) (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) (pow.f64 (cbrt.f64 alpha) 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (fma.f64 2 beta 2) (cbrt.f64 alpha)))
(/.f64 (/.f64 (fma.f64 2 beta 2) (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 2 beta 2)) alpha))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (fma.f64 2 beta 2)) (sqrt.f64 alpha)))
(*.f64 (/.f64 (fma.f64 2 beta 2) (sqrt.f64 alpha)) (/.f64 1 (sqrt.f64 alpha)))
(/.f64 (/.f64 (fma.f64 2 beta 2) (sqrt.f64 alpha)) (sqrt.f64 alpha))
(/.f64 (fma.f64 2 beta 2) (*.f64 (sqrt.f64 alpha) (sqrt.f64 alpha)))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 2 beta 2)) (sqrt.f64 alpha)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (sqrt.f64 alpha)))
(*.f64 (/.f64 (fma.f64 2 beta 2) (sqrt.f64 alpha)) (/.f64 1 (sqrt.f64 alpha)))
(/.f64 (/.f64 (fma.f64 2 beta 2) (sqrt.f64 alpha)) (sqrt.f64 alpha))
(/.f64 (fma.f64 2 beta 2) (*.f64 (sqrt.f64 alpha) (sqrt.f64 alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha))) (pow.f64 (cbrt.f64 alpha) 2))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (pow.f64 (cbrt.f64 alpha) 2)))
(*.f64 (/.f64 (+.f64 beta 1) 1) (/.f64 2 alpha))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (/.f64 (+.f64 beta 1) (sqrt.f64 alpha)) (/.f64 2 (sqrt.f64 alpha)))
(*.f64 (/.f64 (fma.f64 2 beta 2) (sqrt.f64 alpha)) (/.f64 1 (sqrt.f64 alpha)))
(/.f64 (/.f64 (fma.f64 2 beta 2) (sqrt.f64 alpha)) (sqrt.f64 alpha))
(/.f64 (fma.f64 2 beta 2) (*.f64 (sqrt.f64 alpha) (sqrt.f64 alpha)))
(*.f64 (/.f64 2 (sqrt.f64 alpha)) (/.f64 (+.f64 beta 1) (sqrt.f64 alpha)))
(*.f64 (/.f64 (fma.f64 2 beta 2) (sqrt.f64 alpha)) (/.f64 1 (sqrt.f64 alpha)))
(/.f64 (/.f64 (fma.f64 2 beta 2) (sqrt.f64 alpha)) (sqrt.f64 alpha))
(/.f64 (fma.f64 2 beta 2) (*.f64 (sqrt.f64 alpha) (sqrt.f64 alpha)))
(*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 2 (cbrt.f64 alpha)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (fma.f64 2 beta 2) (cbrt.f64 alpha)))
(/.f64 (/.f64 (fma.f64 2 beta 2) (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2))
(*.f64 (/.f64 2 (cbrt.f64 alpha)) (/.f64 (+.f64 beta 1) (pow.f64 (cbrt.f64 alpha) 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (fma.f64 2 beta 2) (cbrt.f64 alpha)))
(/.f64 (/.f64 (fma.f64 2 beta 2) (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) alpha) (cbrt.f64 (fma.f64 2 beta 2)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (/.f64 (+.f64 beta 1) alpha) 2)
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (/.f64 1 (/.f64 alpha (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2))) (cbrt.f64 (fma.f64 2 beta 2)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (/.f64 1 (/.f64 alpha (+.f64 beta 1))) 2)
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (/.f64 (/.f64 (-.f64 4 (*.f64 4 (*.f64 beta beta))) alpha) (-.f64 4 (*.f64 4 (*.f64 beta beta)))) (fma.f64 2 beta 2))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (/.f64 (/.f64 (-.f64 4 (*.f64 4 (*.f64 beta beta))) alpha) (+.f64 8 (*.f64 -8 (pow.f64 beta 3)))) (+.f64 4 (*.f64 4 (+.f64 (*.f64 beta beta) beta))))
(*.f64 (/.f64 (+.f64 4 (*.f64 -4 (*.f64 beta beta))) (*.f64 (+.f64 8 (*.f64 -8 (pow.f64 beta 3))) alpha)) (+.f64 4 (*.f64 4 (fma.f64 beta beta beta))))
(*.f64 (/.f64 (+.f64 4 (*.f64 (*.f64 beta beta) -4)) (*.f64 alpha (fma.f64 -8 (pow.f64 beta 3) 8))) (fma.f64 4 (fma.f64 beta beta beta) 4))
(*.f64 (/.f64 (fma.f64 (*.f64 beta beta) -4 4) alpha) (/.f64 (fma.f64 beta (fma.f64 beta 4 4) 4) (fma.f64 -8 (pow.f64 beta 3) 8)))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 beta 3)) 8) alpha) (-.f64 16 (*.f64 (*.f64 beta (-.f64 (*.f64 beta 4) 4)) (*.f64 beta (-.f64 (*.f64 beta 4) 4))))) (-.f64 4 (*.f64 beta (-.f64 (*.f64 beta 4) 4))))
(*.f64 (/.f64 (/.f64 (+.f64 1 (pow.f64 beta 3)) (/.f64 alpha 8)) (-.f64 16 (*.f64 (*.f64 beta beta) (*.f64 (fma.f64 beta 4 -4) (fma.f64 beta 4 -4))))) (-.f64 4 (*.f64 beta (fma.f64 beta 4 -4))))
(*.f64 (*.f64 (/.f64 8 (-.f64 16 (*.f64 beta (*.f64 beta (*.f64 (fma.f64 beta 4 -4) (fma.f64 beta 4 -4)))))) (/.f64 (+.f64 1 (pow.f64 beta 3)) alpha)) (-.f64 4 (*.f64 beta (fma.f64 beta 4 -4))))
(*.f64 (/.f64 (fma.f64 8 (pow.f64 beta 3) 8) alpha) (/.f64 (-.f64 4 (*.f64 beta (fma.f64 beta 4 -4))) (fma.f64 (*.f64 beta (fma.f64 beta 4 -4)) (*.f64 beta (+.f64 4 (*.f64 beta -4))) 16)))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 beta 3)) 8) alpha) (+.f64 64 (pow.f64 (*.f64 beta (-.f64 (*.f64 beta 4) 4)) 3))) (+.f64 16 (*.f64 (*.f64 beta (-.f64 (*.f64 beta 4) 4)) (-.f64 (*.f64 beta (-.f64 (*.f64 beta 4) 4)) 4))))
(*.f64 (/.f64 (/.f64 (+.f64 1 (pow.f64 beta 3)) (/.f64 alpha 8)) (+.f64 64 (pow.f64 (*.f64 beta (fma.f64 beta 4 -4)) 3))) (+.f64 16 (*.f64 (*.f64 beta (fma.f64 beta 4 -4)) (fma.f64 beta (fma.f64 beta 4 -4) -4))))
(/.f64 (/.f64 8 (/.f64 alpha (+.f64 1 (pow.f64 beta 3)))) (/.f64 (+.f64 64 (pow.f64 (*.f64 beta (fma.f64 beta 4 -4)) 3)) (fma.f64 beta (*.f64 (fma.f64 beta 4 -4) (fma.f64 beta (fma.f64 beta 4 -4) -4)) 16)))
(/.f64 (/.f64 (fma.f64 8 (pow.f64 beta 3) 8) alpha) (/.f64 (+.f64 64 (pow.f64 (*.f64 beta (fma.f64 beta 4 -4)) 3)) (fma.f64 beta (*.f64 (fma.f64 beta 4 -4) (fma.f64 beta (fma.f64 beta 4 -4) -4)) 16)))
(pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1)
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2)
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 3)
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(pow.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 3) 1/3)
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(pow.f64 (/.f64 alpha (fma.f64 2 beta 2)) -1)
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(neg.f64 (/.f64 (fma.f64 2 beta 2) (neg.f64 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(neg.f64 (/.f64 (+.f64 -2 (*.f64 beta -2)) alpha))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(neg.f64 (*.f64 (/.f64 (fma.f64 2 beta 2) (neg.f64 alpha)) 1))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(neg.f64 (*.f64 (fma.f64 2 beta 2) (/.f64 -1 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(neg.f64 (*.f64 1 (/.f64 (fma.f64 2 beta 2) (neg.f64 alpha))))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 2))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(log.f64 (exp.f64 (/.f64 (fma.f64 2 beta 2) alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 2 beta 2) alpha))))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 3))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 2 beta 2) alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(exp.f64 (log.f64 (/.f64 (fma.f64 2 beta 2) alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 2 beta 2) alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)

localize26.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 64 to 41 computations (35.9% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite94.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1780×associate-/l*
1154×associate-/r/
342×add-sqr-sqrt
332×pow1
332×*-un-lft-identity
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01341
131537
2493937
Stop Event
node limit
Counts
1 → 101
Calls
Call 1
Inputs
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 (+.f64 beta 2) alpha)))
Outputs
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(/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 (+.f64 beta 2) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 (+.f64 beta 2) alpha))))))

simplify120.0ms (0.6%)

Algorithm
egg-herbie
Rules
590×distribute-rgt-neg-in
584×distribute-lft-neg-in
498×fma-def
492×associate-+l-
480×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
032510633
197210389
253799935
Stop Event
node limit
Counts
125 → 268
Calls
Call 1
Inputs
(/.f64 2 alpha)
(+.f64 (*.f64 beta (+.f64 (/.f64 1 alpha) (/.f64 1 (+.f64 2 alpha)))) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (*.f64 beta (+.f64 (/.f64 1 alpha) (/.f64 1 (+.f64 2 alpha)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 2 (/.f64 1 alpha))))
(+.f64 (*.f64 beta (+.f64 (/.f64 1 alpha) (/.f64 1 (+.f64 2 alpha)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3)) (*.f64 2 (/.f64 1 alpha)))))
(/.f64 beta alpha)
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 alpha)) (/.f64 beta alpha)))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 beta alpha))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (/.f64 beta alpha) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))))
(/.f64 beta alpha)
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 alpha)) (/.f64 beta alpha)))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 beta alpha))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (/.f64 beta alpha) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))))
(/.f64 (+.f64 beta 2) alpha)
(+.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta (+.f64 beta 2)) (*.f64 2 (/.f64 1 alpha))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta (+.f64 beta 2)) (*.f64 2 (/.f64 1 alpha)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 beta 2) 3)) (+.f64 (/.f64 beta (+.f64 beta 2)) (*.f64 2 (/.f64 1 alpha))))))
(/.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 2 (/.f64 1 alpha))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (*.f64 2 (/.f64 1 alpha)))))
(+.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 2 (/.f64 beta alpha)) (+.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 -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 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (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 (+.f64 (*.f64 -1 beta) (*.f64 -1 (+.f64 beta 2))) alpha)) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))
(+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))
(+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 (+.f64 beta 2) alpha) (fma.f64 (/.f64 (+.f64 beta 2) alpha) 1 (/.f64 (+.f64 beta 2) alpha))))
(+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 (+.f64 beta 2) alpha) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 beta 2) alpha))) (sqrt.f64 (/.f64 (+.f64 beta 2) alpha)) (/.f64 (+.f64 beta 2) alpha))))
(+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 (+.f64 beta 2) alpha) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) 2) (/.f64 (+.f64 beta 2) alpha))))
(+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 (+.f64 beta 2) alpha) (fma.f64 (/.f64 (+.f64 beta 2) alpha) -1 (/.f64 (+.f64 beta 2) alpha))))
(+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))
(+.f64 (/.f64 (+.f64 beta 2) alpha) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (fma.f64 (/.f64 (+.f64 beta 2) alpha) 1 (/.f64 (+.f64 beta 2) alpha))))
(+.f64 (/.f64 (+.f64 beta 2) alpha) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 beta 2) alpha))) (sqrt.f64 (/.f64 (+.f64 beta 2) alpha)) (/.f64 (+.f64 beta 2) alpha))))
(+.f64 (/.f64 (+.f64 beta 2) alpha) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) 2) (/.f64 (+.f64 beta 2) alpha))))
(+.f64 (/.f64 (+.f64 beta 2) alpha) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (fma.f64 (/.f64 (+.f64 beta 2) alpha) -1 (/.f64 (+.f64 beta 2) alpha))))
(+.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) (fma.f64 (/.f64 (+.f64 beta 2) alpha) 1 (/.f64 (+.f64 beta 2) alpha)))
(+.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 beta 2) alpha))) (sqrt.f64 (/.f64 (+.f64 beta 2) alpha)) (/.f64 (+.f64 beta 2) alpha)))
(+.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) 2) (/.f64 (+.f64 beta 2) alpha)))
(+.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) (fma.f64 (/.f64 (+.f64 beta 2) alpha) -1 (/.f64 (+.f64 beta 2) alpha)))
(+.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) (+.f64 (fma.f64 (/.f64 (+.f64 beta 2) alpha) 1 (/.f64 (+.f64 beta 2) alpha)) (fma.f64 (/.f64 (+.f64 beta 2) alpha) 1 (/.f64 (+.f64 beta 2) alpha))))
(+.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 beta 2) alpha))) (sqrt.f64 (/.f64 (+.f64 beta 2) alpha)) (/.f64 (+.f64 beta 2) alpha)) (fma.f64 (/.f64 (+.f64 beta 2) alpha) 1 (/.f64 (+.f64 beta 2) alpha))))
(+.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) 2) (/.f64 (+.f64 beta 2) alpha)) (fma.f64 (/.f64 (+.f64 beta 2) alpha) 1 (/.f64 (+.f64 beta 2) alpha))))
(+.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) (+.f64 (fma.f64 (/.f64 (+.f64 beta 2) alpha) -1 (/.f64 (+.f64 beta 2) alpha)) (fma.f64 (/.f64 (+.f64 beta 2) alpha) 1 (/.f64 (+.f64 beta 2) alpha))))
(+.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) (+.f64 (fma.f64 (/.f64 (+.f64 beta 2) alpha) 1 (/.f64 (+.f64 beta 2) alpha)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 beta 2) alpha))) (sqrt.f64 (/.f64 (+.f64 beta 2) alpha)) (/.f64 (+.f64 beta 2) alpha))))
(+.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 beta 2) alpha))) (sqrt.f64 (/.f64 (+.f64 beta 2) alpha)) (/.f64 (+.f64 beta 2) alpha)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 beta 2) alpha))) (sqrt.f64 (/.f64 (+.f64 beta 2) alpha)) (/.f64 (+.f64 beta 2) alpha))))
(+.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) 2) (/.f64 (+.f64 beta 2) alpha)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 beta 2) alpha))) (sqrt.f64 (/.f64 (+.f64 beta 2) alpha)) (/.f64 (+.f64 beta 2) alpha))))
(+.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) (+.f64 (fma.f64 (/.f64 (+.f64 beta 2) alpha) -1 (/.f64 (+.f64 beta 2) alpha)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 beta 2) alpha))) (sqrt.f64 (/.f64 (+.f64 beta 2) alpha)) (/.f64 (+.f64 beta 2) alpha))))
(+.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) (+.f64 (fma.f64 (/.f64 (+.f64 beta 2) alpha) 1 (/.f64 (+.f64 beta 2) alpha)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) 2) (/.f64 (+.f64 beta 2) alpha))))
(+.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 beta 2) alpha))) (sqrt.f64 (/.f64 (+.f64 beta 2) alpha)) (/.f64 (+.f64 beta 2) alpha)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) 2) (/.f64 (+.f64 beta 2) alpha))))
(+.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) 2) (/.f64 (+.f64 beta 2) alpha)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) 2) (/.f64 (+.f64 beta 2) alpha))))
(+.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) (+.f64 (fma.f64 (/.f64 (+.f64 beta 2) alpha) -1 (/.f64 (+.f64 beta 2) alpha)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) 2) (/.f64 (+.f64 beta 2) alpha))))
(+.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) (+.f64 (fma.f64 (/.f64 (+.f64 beta 2) alpha) 1 (/.f64 (+.f64 beta 2) alpha)) (fma.f64 (/.f64 (+.f64 beta 2) alpha) -1 (/.f64 (+.f64 beta 2) alpha))))
(+.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 beta 2) alpha))) (sqrt.f64 (/.f64 (+.f64 beta 2) alpha)) (/.f64 (+.f64 beta 2) alpha)) (fma.f64 (/.f64 (+.f64 beta 2) alpha) -1 (/.f64 (+.f64 beta 2) alpha))))
(+.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) 2) (/.f64 (+.f64 beta 2) alpha)) (fma.f64 (/.f64 (+.f64 beta 2) alpha) -1 (/.f64 (+.f64 beta 2) alpha))))
(+.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) (+.f64 (fma.f64 (/.f64 (+.f64 beta 2) alpha) -1 (/.f64 (+.f64 beta 2) alpha)) (fma.f64 (/.f64 (+.f64 beta 2) alpha) -1 (/.f64 (+.f64 beta 2) alpha))))
(+.f64 0 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)))
(+.f64 (fma.f64 (/.f64 (+.f64 beta 2) alpha) 1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 beta 2) alpha))) (sqrt.f64 (/.f64 (+.f64 beta 2) alpha)) (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) 2) (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)))
(+.f64 (fma.f64 (/.f64 (+.f64 beta 2) alpha) -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)))
(+.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (exp.f64 (log1p.f64 (/.f64 (+.f64 beta 2) alpha)))) 1)
(*.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) 1)
(*.f64 1 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))) (sqrt.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))))
(*.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))) 2) (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))))
(*.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) 2) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))))
(*.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (*.f64 (/.f64 (+.f64 beta 2) alpha) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))))))
(*.f64 (+.f64 (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 (+.f64 beta 2) alpha))) (-.f64 (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 (+.f64 beta 2) alpha))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (*.f64 (/.f64 (+.f64 beta 2) alpha) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))))) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)))
(*.f64 (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))) (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) 2))
(*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) 2) (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) 2)) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)))
(*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) 2) 1) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))))
(*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) 2) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3))) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (*.f64 (/.f64 (+.f64 beta 2) alpha) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)))))
(*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) 2) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3))) (-.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) 2) (*.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))))
(*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) 2) (+.f64 (*.f64 beta alpha) (*.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 -2 beta)))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha))
(*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) 2) (+.f64 alpha (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) (-.f64 -2 beta)))) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) alpha))
(*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) 2) (+.f64 (*.f64 (neg.f64 beta) alpha) (*.f64 (-.f64 (-.f64 -2 beta) alpha) (-.f64 -2 beta)))) (*.f64 (-.f64 (-.f64 -2 beta) alpha) alpha))
(*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) 2) (-.f64 (*.f64 beta alpha) (*.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 -2 beta)))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha))
(*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) 2) (-.f64 alpha (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) (-.f64 -2 beta)))) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) alpha))
(*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) 2) (-.f64 (*.f64 (neg.f64 beta) alpha) (*.f64 (-.f64 (-.f64 -2 beta) alpha) (-.f64 -2 beta)))) (*.f64 (-.f64 (-.f64 -2 beta) alpha) alpha))
(*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) 2) (neg.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) 2))) (neg.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))))
(*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) 2) (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)))) (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (*.f64 (/.f64 (+.f64 beta 2) alpha) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))))))
(*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)) (-.f64 (*.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2)) (*.f64 (*.f64 (/.f64 (+.f64 beta 2) alpha) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))) (*.f64 (/.f64 (+.f64 beta 2) alpha) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)))))) (-.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) 2) (*.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))))
(*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)) (+.f64 (pow.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) 3) (pow.f64 (*.f64 (/.f64 (+.f64 beta 2) alpha) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))) 3))) (+.f64 (*.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2)) (-.f64 (*.f64 (*.f64 (/.f64 (+.f64 beta 2) alpha) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))) (*.f64 (/.f64 (+.f64 beta 2) alpha) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)))) (*.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (*.f64 (/.f64 (+.f64 beta 2) alpha) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)))))))
(/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) (/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))))
(/.f64 1 (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))))
(/.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) 2) (*.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3))))
(/.f64 (sqrt.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))) (/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) (*.f64 (sqrt.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))) 2) (/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) (*.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)))))
(/.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) 2) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)))
(/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (*.f64 (/.f64 (+.f64 beta 2) alpha) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)))))
(/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)) (-.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) 2) (*.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))))
(/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (*.f64 (/.f64 (+.f64 beta 2) alpha) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)))) (/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (*.f64 (/.f64 (+.f64 beta 2) alpha) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)))) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))))
(/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (*.f64 (/.f64 (+.f64 beta 2) alpha) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)))) (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) 2) (*.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3))) (/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (*.f64 (/.f64 (+.f64 beta 2) alpha) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3))) (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) 2) (*.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3))) (cbrt.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)))) (/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (*.f64 (/.f64 (+.f64 beta 2) alpha) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)))) (cbrt.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3))) (cbrt.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)))) (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) 2) (*.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))) (cbrt.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))) 2) (pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))) 2)) (/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))) 2)))
(/.f64 (*.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) (sqrt.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)))) (sqrt.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))))
(/.f64 (*.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))) 2)) (/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)))))
(/.f64 (+.f64 (*.f64 beta alpha) (*.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 -2 beta))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha))
(/.f64 (+.f64 alpha (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) (-.f64 -2 beta))) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) alpha))
(/.f64 (+.f64 (*.f64 (neg.f64 beta) alpha) (*.f64 (-.f64 (-.f64 -2 beta) alpha) (-.f64 -2 beta))) (*.f64 (-.f64 (-.f64 -2 beta) alpha) alpha))
(/.f64 (-.f64 (*.f64 beta alpha) (*.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 -2 beta))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha))
(/.f64 (-.f64 alpha (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) (-.f64 -2 beta))) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) alpha))
(/.f64 (-.f64 (*.f64 (neg.f64 beta) alpha) (*.f64 (-.f64 (-.f64 -2 beta) alpha) (-.f64 -2 beta))) (*.f64 (-.f64 (-.f64 -2 beta) alpha) alpha))
(/.f64 (neg.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) 2)) (neg.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (*.f64 (/.f64 (+.f64 beta 2) alpha) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))))))
(pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) 1)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))) 2)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))))
(exp.f64 (log.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))))
(fma.f64 beta (/.f64 -1 (-.f64 (-.f64 -2 beta) alpha)) (/.f64 (+.f64 beta 2) alpha))
(fma.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 (+.f64 beta 2) alpha))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 (+.f64 beta 2) alpha))
Outputs
(/.f64 2 alpha)
(+.f64 (*.f64 beta (+.f64 (/.f64 1 alpha) (/.f64 1 (+.f64 2 alpha)))) (*.f64 2 (/.f64 1 alpha)))
(fma.f64 beta (+.f64 (/.f64 1 alpha) (/.f64 1 (+.f64 2 alpha))) (/.f64 2 alpha))
(+.f64 (*.f64 beta (+.f64 (/.f64 1 alpha) (/.f64 1 (+.f64 2 alpha)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 2 (/.f64 1 alpha))))
(fma.f64 beta (+.f64 (/.f64 1 alpha) (/.f64 1 (+.f64 2 alpha))) (fma.f64 -1 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2)) (/.f64 2 alpha)))
(fma.f64 beta (+.f64 (/.f64 1 alpha) (/.f64 1 (+.f64 2 alpha))) (-.f64 (/.f64 2 alpha) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2))))
(+.f64 (*.f64 beta (+.f64 (/.f64 1 alpha) (/.f64 1 (+.f64 2 alpha)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3)) (*.f64 2 (/.f64 1 alpha)))))
(fma.f64 beta (+.f64 (/.f64 1 alpha) (/.f64 1 (+.f64 2 alpha))) (fma.f64 -1 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (/.f64 2 alpha) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3)))))
(+.f64 (fma.f64 beta (+.f64 (/.f64 1 alpha) (/.f64 1 (+.f64 2 alpha))) (-.f64 (/.f64 2 alpha) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3)))
(+.f64 (*.f64 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 -1 (/.f64 beta (+.f64 2 alpha)))) (fma.f64 beta (+.f64 (/.f64 1 alpha) (/.f64 1 (+.f64 2 alpha))) (/.f64 2 alpha)))
(/.f64 beta alpha)
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 alpha)) (/.f64 beta alpha)))
(+.f64 (+.f64 1 (/.f64 2 alpha)) (/.f64 beta alpha))
(+.f64 1 (+.f64 (/.f64 2 alpha) (/.f64 beta alpha)))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 beta alpha))))
(+.f64 (+.f64 1 (/.f64 2 alpha)) (fma.f64 -1 (/.f64 (+.f64 2 alpha) beta) (/.f64 beta alpha)))
(+.f64 (/.f64 2 alpha) (+.f64 (-.f64 (/.f64 beta alpha) (/.f64 (+.f64 2 alpha) beta)) 1))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (/.f64 beta alpha) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))))
(+.f64 (+.f64 1 (/.f64 2 alpha)) (+.f64 (fma.f64 -1 (/.f64 (+.f64 2 alpha) beta) (/.f64 beta alpha)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta beta))))
(+.f64 (+.f64 (/.f64 2 alpha) (+.f64 (-.f64 (/.f64 beta alpha) (/.f64 (+.f64 2 alpha) beta)) 1)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta beta)))
(+.f64 (+.f64 (/.f64 beta alpha) (*.f64 (/.f64 (+.f64 2 alpha) beta) (+.f64 -1 (/.f64 (+.f64 2 alpha) beta)))) (+.f64 1 (/.f64 2 alpha)))
(/.f64 beta alpha)
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 alpha)) (/.f64 beta alpha)))
(+.f64 (+.f64 1 (/.f64 2 alpha)) (/.f64 beta alpha))
(+.f64 1 (+.f64 (/.f64 2 alpha) (/.f64 beta alpha)))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 beta alpha))))
(+.f64 (+.f64 1 (/.f64 2 alpha)) (fma.f64 -1 (/.f64 (+.f64 2 alpha) beta) (/.f64 beta alpha)))
(+.f64 (/.f64 2 alpha) (+.f64 (-.f64 (/.f64 beta alpha) (/.f64 (+.f64 2 alpha) beta)) 1))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (/.f64 beta alpha) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))))
(+.f64 (+.f64 1 (/.f64 2 alpha)) (+.f64 (fma.f64 -1 (/.f64 (+.f64 2 alpha) beta) (/.f64 beta alpha)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta beta))))
(+.f64 (+.f64 (/.f64 2 alpha) (+.f64 (-.f64 (/.f64 beta alpha) (/.f64 (+.f64 2 alpha) beta)) 1)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta beta)))
(+.f64 (+.f64 (/.f64 beta alpha) (*.f64 (/.f64 (+.f64 2 alpha) beta) (+.f64 -1 (/.f64 (+.f64 2 alpha) beta)))) (+.f64 1 (/.f64 2 alpha)))
(/.f64 (+.f64 beta 2) alpha)
(/.f64 (+.f64 2 beta) alpha)
(+.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta (+.f64 beta 2)) (*.f64 2 (/.f64 1 alpha))))
(+.f64 (/.f64 beta alpha) (+.f64 (/.f64 2 alpha) (/.f64 beta (+.f64 2 beta))))
(+.f64 (/.f64 2 alpha) (+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 2 beta))))
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(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))) 2) (pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))) 2)) (/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))) 2)))
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 2 alpha))))
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))
(/.f64 (*.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) (sqrt.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)))) (sqrt.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))))
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 2 alpha))))
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))
(/.f64 (*.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))) 2)) (/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)))))
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 2 alpha))))
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))
(/.f64 (+.f64 (*.f64 beta alpha) (*.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 -2 beta))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha))
(/.f64 (fma.f64 beta alpha (*.f64 (+.f64 beta (+.f64 2 alpha)) (-.f64 -2 beta))) (*.f64 alpha (+.f64 beta (+.f64 2 alpha))))
(/.f64 (/.f64 (fma.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 -2 beta) (*.f64 alpha beta)) (+.f64 alpha (+.f64 2 beta))) alpha)
(/.f64 (+.f64 alpha (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) (-.f64 -2 beta))) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) alpha))
(/.f64 (+.f64 alpha (*.f64 (-.f64 -2 beta) (/.f64 (+.f64 beta (+.f64 2 alpha)) beta))) (*.f64 alpha (/.f64 (+.f64 beta (+.f64 2 alpha)) beta)))
(*.f64 (/.f64 (fma.f64 (-.f64 -2 beta) (/.f64 (+.f64 alpha (+.f64 2 beta)) beta) alpha) (*.f64 alpha (+.f64 alpha (+.f64 2 beta)))) beta)
(/.f64 (+.f64 (*.f64 (neg.f64 beta) alpha) (*.f64 (-.f64 (-.f64 -2 beta) alpha) (-.f64 -2 beta))) (*.f64 (-.f64 (-.f64 -2 beta) alpha) alpha))
(/.f64 (fma.f64 (neg.f64 beta) alpha (*.f64 (-.f64 -2 beta) (-.f64 (-.f64 -2 beta) alpha))) (*.f64 alpha (-.f64 (-.f64 -2 beta) alpha)))
(/.f64 (-.f64 (*.f64 (-.f64 -2 beta) (-.f64 -2 (+.f64 alpha beta))) (*.f64 alpha beta)) (*.f64 alpha (-.f64 -2 (+.f64 alpha beta))))
(/.f64 (-.f64 (*.f64 beta alpha) (*.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 -2 beta))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha))
(/.f64 (-.f64 (*.f64 alpha beta) (*.f64 (+.f64 beta (+.f64 2 alpha)) (-.f64 -2 beta))) (*.f64 alpha (+.f64 beta (+.f64 2 alpha))))
(/.f64 (-.f64 (*.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 -2 beta))) (*.f64 alpha (+.f64 alpha (+.f64 2 beta))))
(/.f64 (fma.f64 alpha beta (*.f64 (-.f64 -2 beta) (-.f64 -2 (+.f64 alpha beta)))) (*.f64 alpha (+.f64 alpha (+.f64 2 beta))))
(/.f64 (-.f64 alpha (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) (-.f64 -2 beta))) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) alpha))
(/.f64 (-.f64 alpha (*.f64 (-.f64 -2 beta) (/.f64 (+.f64 beta (+.f64 2 alpha)) beta))) (*.f64 alpha (/.f64 (+.f64 beta (+.f64 2 alpha)) beta)))
(/.f64 (-.f64 alpha (*.f64 (-.f64 -2 beta) (/.f64 (+.f64 alpha (+.f64 2 beta)) beta))) (*.f64 alpha (/.f64 (+.f64 alpha (+.f64 2 beta)) beta)))
(/.f64 (-.f64 (*.f64 (neg.f64 beta) alpha) (*.f64 (-.f64 (-.f64 -2 beta) alpha) (-.f64 -2 beta))) (*.f64 (-.f64 (-.f64 -2 beta) alpha) alpha))
(/.f64 (-.f64 (*.f64 alpha (neg.f64 beta)) (*.f64 (-.f64 -2 beta) (-.f64 (-.f64 -2 beta) alpha))) (*.f64 alpha (-.f64 (-.f64 -2 beta) alpha)))
(/.f64 (-.f64 (*.f64 alpha (neg.f64 beta)) (*.f64 (-.f64 -2 beta) (-.f64 -2 (+.f64 alpha beta)))) (*.f64 alpha (-.f64 -2 (+.f64 alpha beta))))
(/.f64 (fma.f64 alpha (neg.f64 beta) (*.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 -2 beta))) (*.f64 alpha (-.f64 -2 (+.f64 alpha beta))))
(/.f64 (neg.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) 2)) (neg.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))))
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 2 alpha))))
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (*.f64 (/.f64 (+.f64 beta 2) alpha) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) 3) (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) 2) (*.f64 (/.f64 (+.f64 2 beta) alpha) (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 2 alpha))))))))
(*.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) 3) (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3)) (fma.f64 (/.f64 (+.f64 2 beta) alpha) (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) 2))))
(pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) 1)
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 2 alpha))))
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))) 2)
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 2 alpha))))
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))) 3)
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 2 alpha))))
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))
(pow.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) 3) 1/3)
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 2 alpha))))
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) 2))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 2 alpha)))) 2))
(fabs.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 alpha (+.f64 2 beta)))))
(log.f64 (exp.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))))
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 2 alpha))))
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)))))
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 2 alpha))))
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) 3))
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 2 alpha))))
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))))
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 2 alpha))))
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))
(exp.f64 (log.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))))
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 2 alpha))))
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))) 1))
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 2 alpha))))
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))))
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 2 alpha))))
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))
(fma.f64 beta (/.f64 -1 (-.f64 (-.f64 -2 beta) alpha)) (/.f64 (+.f64 beta 2) alpha))
(fma.f64 beta (/.f64 -1 (-.f64 (-.f64 -2 beta) alpha)) (/.f64 (+.f64 2 beta) alpha))
(fma.f64 beta (/.f64 -1 (-.f64 -2 (+.f64 alpha beta))) (/.f64 (+.f64 2 beta) alpha))
(fma.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 2 alpha))))
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 (+.f64 beta 2) alpha))
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 2 alpha))))
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 (+.f64 beta 2) alpha))
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 2 alpha))))
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))

localize101.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 beta (+.f64 beta (+.f64 alpha 2)))
0.0b
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2)) (-.f64 -1 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))))
0.1b
(pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2)
1.3b
(-.f64 1 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2))
Compiler

Compiled 147 to 88 computations (40.1% saved)

series18.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

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

rewrite129.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1828×associate-/r/
1420×associate-/l/
340×add-sqr-sqrt
334×+-commutative
330×*-un-lft-identity
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
014117
133081
2478381
Stop Event
node limit
Counts
3 → 216
Calls
Call 1
Inputs
(-.f64 1 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2))
(pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2)
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2)) (-.f64 -1 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2))) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2))) 2) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 4)) (/.f64 1 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6)) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 4)))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 4)) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 4))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 4)) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6))) (+.f64 1 (-.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 4) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 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simplify191.0ms (1%)

Algorithm
egg-herbie
Rules
1790×associate-*r*
1460×associate-*l*
1146×associate-*r/
1128×associate-*l/
818×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
087223902
1316023336
Stop Event
node limit
Counts
288 → 455
Calls
Call 1
Inputs
1
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) 1)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 1 (+.f64 (*.f64 2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (*.f64 -3 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4))))))
(*.f64 2 (/.f64 (+.f64 beta 2) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))) (*.f64 2 (/.f64 (+.f64 beta 2) alpha)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (*.f64 2 (/.f64 (+.f64 beta 2) alpha))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 4) (*.f64 4 (pow.f64 (+.f64 beta 2) 4))) (pow.f64 alpha 4))) (+.f64 (*.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (*.f64 2 (/.f64 (+.f64 beta 2) alpha)))))
(/.f64 (+.f64 4 (*.f64 2 beta)) alpha)
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 4 (/.f64 1 alpha))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 alpha)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 4) (*.f64 4 (pow.f64 (+.f64 beta 2) 4))) (pow.f64 alpha 4))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 alpha))))))
(-.f64 1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 3)))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)))
(-.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 3))) (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4))))))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)))
(-.f64 (+.f64 1 (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 beta 3) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 5))) (+.f64 (*.f64 2 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 3))) (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)))))))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)))
1
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))) (*.f64 2 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 3)))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) (pow.f64 beta 4))) (*.f64 2 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 3))))))
1
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))) (*.f64 2 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 3)))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) (pow.f64 beta 4))) (*.f64 2 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 3))))))
(/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))
(+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2)) (*.f64 -2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))
(+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 3 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4))) (*.f64 -2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))))
(+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 -4 (/.f64 (pow.f64 alpha 5) (pow.f64 (+.f64 beta 2) 5))) (+.f64 (*.f64 3 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4))) (*.f64 -2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))))
1
(+.f64 1 (*.f64 -2 (/.f64 (+.f64 beta 2) alpha)))
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))))
(+.f64 (*.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 1 (+.f64 (*.f64 -2 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))))
1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) alpha)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) alpha)) (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))))
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(pow.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) 3) 1/3)
(pow.f64 (/.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)) -1)
(neg.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)) 3) (pow.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 3)))
(expm1.f64 (log.f64 (+.f64 0 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))))
(exp.f64 (log.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))
Outputs
1
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) 1)
(fma.f64 -1 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2)) 1)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))))
(+.f64 (fma.f64 -1 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2)) 1) (*.f64 2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3))))
(+.f64 (fma.f64 -1 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2)) 1) (/.f64 (*.f64 2 (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 3)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 1 (+.f64 (*.f64 2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (*.f64 -3 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4))))))
(+.f64 (fma.f64 -1 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2)) 1) (fma.f64 2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3)) (*.f64 -3 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 2 beta) 4)))))
(+.f64 (fma.f64 -1 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2)) 1) (fma.f64 2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3)) (/.f64 (*.f64 -3 (pow.f64 alpha 4)) (pow.f64 (+.f64 2 beta) 4))))
(*.f64 2 (/.f64 (+.f64 beta 2) alpha))
(*.f64 2 (/.f64 (+.f64 2 beta) alpha))
(/.f64 (*.f64 2 (+.f64 2 beta)) alpha)
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))) (*.f64 2 (/.f64 (+.f64 beta 2) alpha)))
(fma.f64 -1 (/.f64 (*.f64 3 (pow.f64 (+.f64 2 beta) 2)) (*.f64 alpha alpha)) (*.f64 2 (/.f64 (+.f64 2 beta) alpha)))
(+.f64 (/.f64 (*.f64 2 (+.f64 2 beta)) alpha) (/.f64 (*.f64 -3 (pow.f64 (+.f64 2 beta) 2)) (*.f64 alpha alpha)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (*.f64 2 (/.f64 (+.f64 beta 2) alpha))))
(fma.f64 -1 (/.f64 (*.f64 3 (pow.f64 (+.f64 2 beta) 2)) (*.f64 alpha alpha)) (fma.f64 4 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (*.f64 2 (/.f64 (+.f64 2 beta) alpha))))
(+.f64 (/.f64 (*.f64 -3 (pow.f64 (+.f64 2 beta) 2)) (*.f64 alpha alpha)) (fma.f64 4 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (/.f64 (*.f64 2 (+.f64 2 beta)) alpha)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 4) (*.f64 4 (pow.f64 (+.f64 beta 2) 4))) (pow.f64 alpha 4))) (+.f64 (*.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (*.f64 2 (/.f64 (+.f64 beta 2) alpha)))))
(fma.f64 -1 (/.f64 (*.f64 3 (pow.f64 (+.f64 2 beta) 2)) (*.f64 alpha alpha)) (fma.f64 -1 (/.f64 (*.f64 5 (pow.f64 (+.f64 2 beta) 4)) (pow.f64 alpha 4)) (fma.f64 4 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (*.f64 2 (/.f64 (+.f64 2 beta) alpha)))))
(+.f64 (/.f64 (*.f64 -3 (pow.f64 (+.f64 2 beta) 2)) (*.f64 alpha alpha)) (+.f64 (fma.f64 4 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (/.f64 (*.f64 2 (+.f64 2 beta)) alpha)) (/.f64 (*.f64 -5 (pow.f64 (+.f64 2 beta) 4)) (pow.f64 alpha 4))))
(/.f64 (+.f64 4 (*.f64 2 beta)) alpha)
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 4 (/.f64 1 alpha))))
(fma.f64 -1 (/.f64 (*.f64 3 (pow.f64 (+.f64 2 beta) 2)) (*.f64 alpha alpha)) (fma.f64 2 (/.f64 beta alpha) (/.f64 4 alpha)))
(+.f64 (/.f64 (*.f64 -3 (pow.f64 (+.f64 2 beta) 2)) (*.f64 alpha alpha)) (fma.f64 2 (/.f64 beta alpha) (/.f64 4 alpha)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 alpha)))))
(fma.f64 -1 (/.f64 (*.f64 3 (pow.f64 (+.f64 2 beta) 2)) (*.f64 alpha alpha)) (fma.f64 2 (/.f64 beta alpha) (fma.f64 4 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (/.f64 4 alpha))))
(+.f64 (/.f64 (*.f64 -3 (pow.f64 (+.f64 2 beta) 2)) (*.f64 alpha alpha)) (fma.f64 2 (/.f64 beta alpha) (fma.f64 4 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (/.f64 4 alpha))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 4) (*.f64 4 (pow.f64 (+.f64 beta 2) 4))) (pow.f64 alpha 4))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 alpha))))))
(fma.f64 -1 (/.f64 (*.f64 3 (pow.f64 (+.f64 2 beta) 2)) (*.f64 alpha alpha)) (fma.f64 -1 (/.f64 (*.f64 5 (pow.f64 (+.f64 2 beta) 4)) (pow.f64 alpha 4)) (fma.f64 2 (/.f64 beta alpha) (fma.f64 4 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (/.f64 4 alpha)))))
(+.f64 (/.f64 (*.f64 -3 (pow.f64 (+.f64 2 beta) 2)) (*.f64 alpha alpha)) (+.f64 (/.f64 (*.f64 -5 (pow.f64 (+.f64 2 beta) 4)) (pow.f64 alpha 4)) (fma.f64 2 (/.f64 beta alpha) (fma.f64 4 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (/.f64 4 alpha)))))
(-.f64 1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)))
(-.f64 1 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2)))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 3)))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 beta (/.f64 (pow.f64 (+.f64 alpha 2) 3) (*.f64 alpha alpha))))) (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2)))
(+.f64 1 (-.f64 (/.f64 (*.f64 2 beta) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (*.f64 alpha alpha))) (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2))))
(-.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 3))) (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4))))))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)))
(-.f64 (+.f64 1 (fma.f64 2 (/.f64 beta (/.f64 (pow.f64 (+.f64 alpha 2) 3) (*.f64 alpha alpha))) (neg.f64 (*.f64 (*.f64 beta beta) (*.f64 3 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 4))))))) (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2)))
(+.f64 (fma.f64 2 (/.f64 beta (/.f64 (pow.f64 (+.f64 alpha 2) 3) (*.f64 alpha alpha))) (*.f64 (*.f64 -3 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 4))) (*.f64 beta beta))) (-.f64 1 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2))))
(-.f64 (+.f64 1 (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 beta 3) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 5))) (+.f64 (*.f64 2 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 3))) (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)))))))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)))
(+.f64 1 (-.f64 (fma.f64 4 (/.f64 (*.f64 (*.f64 alpha alpha) (pow.f64 beta 3)) (pow.f64 (+.f64 alpha 2) 5)) (fma.f64 2 (/.f64 beta (/.f64 (pow.f64 (+.f64 alpha 2) 3) (*.f64 alpha alpha))) (neg.f64 (*.f64 (*.f64 beta beta) (*.f64 3 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 4))))))) (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2))))
(+.f64 1 (-.f64 (fma.f64 4 (/.f64 (pow.f64 beta 3) (/.f64 (pow.f64 (+.f64 alpha 2) 5) (*.f64 alpha alpha))) (fma.f64 2 (/.f64 beta (/.f64 (pow.f64 (+.f64 alpha 2) 3) (*.f64 alpha alpha))) (*.f64 (*.f64 -3 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 4))) (*.f64 beta beta)))) (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2))))
1
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))))
(+.f64 1 (neg.f64 (/.f64 (*.f64 alpha alpha) (*.f64 beta beta))))
(+.f64 1 (/.f64 (*.f64 alpha (neg.f64 alpha)) (*.f64 beta beta)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))) (*.f64 2 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 3)))))
(+.f64 1 (fma.f64 -1 (/.f64 (*.f64 alpha alpha) (*.f64 beta beta)) (*.f64 2 (/.f64 (+.f64 alpha 2) (/.f64 (pow.f64 beta 3) (*.f64 alpha alpha))))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) (pow.f64 beta 4))) (*.f64 2 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 3))))))
(+.f64 1 (fma.f64 -1 (/.f64 (*.f64 alpha alpha) (*.f64 beta beta)) (fma.f64 -1 (/.f64 (*.f64 3 (*.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2))) (pow.f64 beta 4)) (*.f64 2 (/.f64 (+.f64 alpha 2) (/.f64 (pow.f64 beta 3) (*.f64 alpha alpha)))))))
(+.f64 1 (+.f64 (fma.f64 -1 (/.f64 (*.f64 alpha alpha) (*.f64 beta beta)) (*.f64 2 (/.f64 (+.f64 alpha 2) (/.f64 (pow.f64 beta 3) (*.f64 alpha alpha))))) (/.f64 (*.f64 -3 (*.f64 alpha (*.f64 alpha (pow.f64 (+.f64 alpha 2) 2)))) (pow.f64 beta 4))))
1
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))))
(+.f64 1 (neg.f64 (/.f64 (*.f64 alpha alpha) (*.f64 beta beta))))
(+.f64 1 (/.f64 (*.f64 alpha (neg.f64 alpha)) (*.f64 beta beta)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))) (*.f64 2 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 3)))))
(+.f64 1 (fma.f64 -1 (/.f64 (*.f64 alpha alpha) (*.f64 beta beta)) (*.f64 2 (/.f64 (+.f64 alpha 2) (/.f64 (pow.f64 beta 3) (*.f64 alpha alpha))))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) (pow.f64 beta 4))) (*.f64 2 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 3))))))
(+.f64 1 (fma.f64 -1 (/.f64 (*.f64 alpha alpha) (*.f64 beta beta)) (fma.f64 -1 (/.f64 (*.f64 3 (*.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2))) (pow.f64 beta 4)) (*.f64 2 (/.f64 (+.f64 alpha 2) (/.f64 (pow.f64 beta 3) (*.f64 alpha alpha)))))))
(+.f64 1 (+.f64 (fma.f64 -1 (/.f64 (*.f64 alpha alpha) (*.f64 beta beta)) (*.f64 2 (/.f64 (+.f64 alpha 2) (/.f64 (pow.f64 beta 3) (*.f64 alpha alpha))))) (/.f64 (*.f64 -3 (*.f64 alpha (*.f64 alpha (pow.f64 (+.f64 alpha 2) 2)))) (pow.f64 beta 4))))
(/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))
(/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2))
(+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2)) (*.f64 -2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))
(+.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2)) (*.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3)) -2))
(+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 3 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4))) (*.f64 -2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))))
(+.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2)) (fma.f64 3 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 2 beta) 4)) (*.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3)) -2)))
(+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 -4 (/.f64 (pow.f64 alpha 5) (pow.f64 (+.f64 beta 2) 5))) (+.f64 (*.f64 3 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4))) (*.f64 -2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))))
(+.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2)) (fma.f64 -4 (/.f64 (pow.f64 alpha 5) (pow.f64 (+.f64 2 beta) 5)) (fma.f64 3 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 2 beta) 4)) (*.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3)) -2))))
1
(+.f64 1 (*.f64 -2 (/.f64 (+.f64 beta 2) alpha)))
(+.f64 1 (*.f64 (/.f64 (+.f64 2 beta) alpha) -2))
(+.f64 1 (/.f64 (*.f64 -2 (+.f64 2 beta)) alpha))
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))))
(+.f64 1 (fma.f64 -2 (/.f64 (+.f64 2 beta) alpha) (*.f64 3 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)))))
(+.f64 (*.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 1 (+.f64 (*.f64 -2 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))))
(fma.f64 -4 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (+.f64 1 (fma.f64 -2 (/.f64 (+.f64 2 beta) alpha) (*.f64 3 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))))))
1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) alpha)))
(+.f64 1 (neg.f64 (/.f64 (+.f64 4 (*.f64 2 beta)) alpha)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) alpha)) (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))))
(+.f64 1 (fma.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) alpha) (*.f64 3 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)))))
(+.f64 (*.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) alpha)) (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))))
(fma.f64 -4 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (+.f64 1 (fma.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) alpha) (*.f64 3 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))))))
(/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2))
(/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2))
(+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -2 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 3))))
(+.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2)) (*.f64 (/.f64 beta (/.f64 (pow.f64 (+.f64 alpha 2) 3) (*.f64 alpha alpha))) -2))
(+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (*.f64 -2 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 3))) (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)) (*.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)))))))
(+.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2)) (fma.f64 -2 (/.f64 beta (/.f64 (pow.f64 (+.f64 alpha 2) 3) (*.f64 alpha alpha))) (*.f64 (*.f64 beta beta) (*.f64 3 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 4))))))
(+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 beta 3) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 5))) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (*.f64 -2 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 3))) (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)) (*.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4))))))))
(fma.f64 -4 (/.f64 (*.f64 (*.f64 alpha alpha) (pow.f64 beta 3)) (pow.f64 (+.f64 alpha 2) 5)) (+.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2)) (fma.f64 -2 (/.f64 beta (/.f64 (pow.f64 (+.f64 alpha 2) 3) (*.f64 alpha alpha))) (*.f64 (*.f64 beta beta) (*.f64 3 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 4)))))))
(fma.f64 -4 (/.f64 (pow.f64 beta 3) (/.f64 (pow.f64 (+.f64 alpha 2) 5) (*.f64 alpha alpha))) (+.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2)) (fma.f64 -2 (/.f64 beta (/.f64 (pow.f64 (+.f64 alpha 2) 3) (*.f64 alpha alpha))) (*.f64 (*.f64 beta beta) (*.f64 3 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 4)))))))
(/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))
(/.f64 (*.f64 alpha alpha) (*.f64 beta beta))
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(*.f64 (/.f64 (-.f64 -1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))))) (*.f64 (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3)) (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3)))) (*.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) (+.f64 1 (-.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))))
(*.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) (*.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) (/.f64 (-.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))) (*.f64 (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3)) (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3))))))
(*.f64 (/.f64 (-.f64 -1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (*.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)))) (*.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)))) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))
(*.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (/.f64 (-.f64 -1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))))) (*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)) (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))))
(/.f64 (*.f64 (/.f64 (-.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))) (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)))
(*.f64 (/.f64 (-.f64 -1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (*.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)))) (*.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3)))) (+.f64 1 (-.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))))
(*.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) (/.f64 (-.f64 -1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))))) (*.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3)))))
(/.f64 (*.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) (-.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))))) (*.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3))))
(*.f64 (/.f64 (-.f64 -1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (*.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)))) (*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)) (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))
(*.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (/.f64 (-.f64 -1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))))) (*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)) (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))))
(/.f64 (*.f64 (/.f64 (-.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))) (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)))
(*.f64 (/.f64 (-.f64 -1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (*.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)))) (*.f64 (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3)) (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))) (+.f64 1 (-.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))))
(*.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) (/.f64 (-.f64 -1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))))) (*.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3)))))
(/.f64 (*.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) (-.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))))) (*.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3))))
(*.f64 (/.f64 (-.f64 -1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (*.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)))) (*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)) (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3)))) (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (+.f64 1 (-.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))))
(*.f64 (*.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (+.f64 1 (-.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))) (/.f64 (-.f64 -1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))))) (*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)) (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3)))))
(*.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (*.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) (/.f64 (-.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))) (*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)) (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3))))))
(*.f64 (/.f64 (-.f64 -1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (*.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)))) (*.f64 (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3)) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)))) (*.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))
(*.f64 (*.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (+.f64 1 (-.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))) (/.f64 (-.f64 -1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))))) (*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)) (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3)))))
(*.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (*.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) (/.f64 (-.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))) (*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)) (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3))))))
(pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) 1)
(+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)) 2)
(+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)) 3)
(+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))
(pow.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) 3) 1/3)
(+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))
(pow.f64 (/.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)) -1)
(/.f64 1 (/.f64 1 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))))
(neg.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) 2))
(sqrt.f64 (pow.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))
(+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))))
(+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) 3))
(+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)) 3) (pow.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 3)))
(expm1.f64 (log.f64 (+.f64 0 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))))
(+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))
(exp.f64 (log.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))
(+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)) 1))
(+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))
(+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))

eval1.6s (8.2%)

Compiler

Compiled 66737 to 46672 computations (30.1% saved)

prune609.0ms (3.1%)

Pruning

31 alts after pruning (24 fresh and 7 done)

PrunedKeptTotal
New1598111609
Fresh21315
Picked101
Done178
Total1602311633
Error
0.1b
Counts
1633 → 31
Alt Table
Click to see full alt table
StatusErrorProgram
18.0b
(/.f64 (/.f64 (pow.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) 3) 1/3) (+.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)
17.7b
(/.f64 (/.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (-.f64 1 (*.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) beta)))) (*.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (/.f64 (+.f64 alpha (+.f64 beta 2)) beta))) 2)
47.4b
(/.f64 (/.f64 (+.f64 beta 2) alpha) 2)
43.4b
(/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2)
18.1b
(/.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) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 3))) 2)
18.0b
(/.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3)) (+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) (-.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)))) 2)
60.7b
(/.f64 (/.f64 beta alpha) 2)
47.8b
(/.f64 (/.f64 2 alpha) 2)
22.4b
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 3) 1/3) (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2)) (-.f64 -1 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))))) 2)
17.3b
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (/.f64 (+.f64 1 (pow.f64 (neg.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 4) (neg.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2))))) (-.f64 -1 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))))) 2)
17.3b
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 1 (/.f64 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) alpha) (+.f64 alpha (+.f64 2 beta)))) (-.f64 -1 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))))) 2)
17.3b
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
48.2b
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))) (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))))) 2)
17.3b
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (/.f64 (-.f64 -1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (*.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)))) (*.f64 (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3)) (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))) (+.f64 1 (-.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))))) 2)
48.9b
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
48.9b
(/.f64 (-.f64 (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3))) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4)))) 2)
18.1b
(/.f64 (-.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) 2)
17.3b
(/.f64 (-.f64 (*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) beta) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
45.0b
(/.f64 (-.f64 2 (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta)) 2)
34.6b
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
36.2b
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
18.0b
(/.f64 (+.f64 (/.f64 (/.f64 1 (/.f64 1 (-.f64 beta alpha))) (+.f64 beta (+.f64 alpha 2))) 1) 2)
18.0b
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
43.4b
(/.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2)
19.8b
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
48.6b
(/.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) 2)
56.9b
(/.f64 (*.f64 (/.f64 2 alpha) beta) 2)
43.4b
(/.f64 (*.f64 (/.f64 1 (/.f64 alpha (+.f64 beta 1))) 2) 2)
56.9b
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
40.5b
(/.f64 2 2)
34.7b
(/.f64 1 2)
Compiler

Compiled 1401 to 1027 computations (26.7% saved)

localize69.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (-.f64 1 (/.f64 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) alpha) (+.f64 alpha (+.f64 2 beta)))) (-.f64 -1 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))))
0.0b
(*.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) alpha)
0.0b
(/.f64 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) alpha) (+.f64 alpha (+.f64 2 beta)))
1.3b
(-.f64 1 (/.f64 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) alpha) (+.f64 alpha (+.f64 2 beta))))
Compiler

Compiled 201 to 122 computations (39.3% saved)

series22.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

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

rewrite108.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
460×add-sqr-sqrt
456×+-commutative
450×pow1
450×*-un-lft-identity
430×add-cbrt-cube
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
018196
1438106
26991106
Stop Event
node limit
Counts
4 → 144
Calls
Call 1
Inputs
(-.f64 1 (/.f64 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) alpha) (+.f64 alpha (+.f64 2 beta))))
(/.f64 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) alpha) (+.f64 alpha (+.f64 2 beta)))
(*.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) alpha)
(/.f64 (-.f64 1 (/.f64 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) alpha) (+.f64 alpha (+.f64 2 beta)))) (-.f64 -1 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))))
Outputs
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simplify159.0ms (0.8%)

Algorithm
egg-herbie
Rules
1334×associate-/l*
1278×associate-*r*
1006×*-commutative
972×associate-*l*
894×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
081219956
1280119492
Stop Event
node limit
Counts
240 → 412
Calls
Call 1
Inputs
1
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) 1)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 1 (*.f64 (+.f64 (*.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 4))) (*.f64 4 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 3))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 1 (+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 4))) (*.f64 4 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)))) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (pow.f64 (+.f64 beta 2) 4))) (pow.f64 alpha 4)) (*.f64 (+.f64 (*.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 4))) (*.f64 4 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 3)))))
(/.f64 (+.f64 4 (*.f64 2 beta)) alpha)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 4 (/.f64 1 alpha)))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 -1 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2)))) (pow.f64 alpha 3))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 4 (/.f64 1 alpha)))))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 -1 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2)))) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 (*.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 -1 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2))))) (*.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 4))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 -1 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2)))) (pow.f64 alpha 3))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 4 (/.f64 1 alpha)))))))))
(*.f64 2 (/.f64 (+.f64 beta 2) alpha))
(+.f64 (*.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 2 (/.f64 (+.f64 beta 2) alpha))))
(+.f64 (*.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 beta 2) (+.f64 (*.f64 -4 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 2 (pow.f64 (+.f64 beta 2) 3))) (pow.f64 alpha 3))) (*.f64 2 (/.f64 (+.f64 beta 2) alpha)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -4 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 4))) (+.f64 (*.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 beta 2) (+.f64 (*.f64 2 (*.f64 (+.f64 beta 2) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 -4 (pow.f64 (+.f64 beta 2) 2))))) (*.f64 2 (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 4))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 beta 2) (+.f64 (*.f64 -4 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 2 (pow.f64 (+.f64 beta 2) 3))) (pow.f64 alpha 3))) (*.f64 2 (/.f64 (+.f64 beta 2) alpha)))))))
(-.f64 1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)))
(-.f64 (+.f64 (/.f64 (*.f64 beta (*.f64 (pow.f64 alpha 2) (+.f64 4 (*.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 4)) 1) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)))
(-.f64 (+.f64 (/.f64 (*.f64 beta (*.f64 (pow.f64 alpha 2) (+.f64 4 (*.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 4)) (+.f64 1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2)) (pow.f64 (+.f64 2 alpha) 6))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)))))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)))
(-.f64 (+.f64 (/.f64 (*.f64 beta (*.f64 (pow.f64 alpha 2) (+.f64 4 (*.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 4)) (+.f64 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2)) (pow.f64 (+.f64 2 alpha) 6))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 6))))) (+.f64 1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2)) (pow.f64 (+.f64 2 alpha) 6))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4))))))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)))
1
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))) (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 4 (*.f64 2 alpha))) (pow.f64 beta 3))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))) (+.f64 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 4 (*.f64 2 alpha))) (pow.f64 beta 3)) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (pow.f64 beta 4)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2)) (pow.f64 beta 4)))))))
1
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))) (*.f64 2 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 3)))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (pow.f64 beta 4))) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (pow.f64 beta 4)) (*.f64 2 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 3)))))))
(/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 4))) (*.f64 4 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 3))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 4))) (*.f64 4 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 3))) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (*.f64 (pow.f64 alpha 4) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 4))) (*.f64 4 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)))) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (pow.f64 (+.f64 beta 2) 4)))))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 4))) (*.f64 4 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 4))) (*.f64 4 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (*.f64 -1 (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 (*.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 4))) (*.f64 4 (/.f64 1 (pow.f64 (+.f64 beta 2) 4))))) (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 5))) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (*.f64 (pow.f64 alpha 4) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 4))) (*.f64 4 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)))) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (pow.f64 (+.f64 beta 2) 4))))))))
1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) alpha)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) alpha)) (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 -1 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2))) (pow.f64 alpha 2)))))
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1
(+.f64 1 (*.f64 -2 (/.f64 (+.f64 beta 2) alpha)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -4 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))) (+.f64 1 (*.f64 -2 (/.f64 (+.f64 beta 2) alpha))))
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(/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (*.f64 (pow.f64 alpha 2) (+.f64 4 (*.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 4))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (*.f64 (pow.f64 alpha 2) (+.f64 4 (*.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2)) (pow.f64 (+.f64 2 alpha) 6))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)))))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (*.f64 (pow.f64 alpha 2) (+.f64 4 (*.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2)) (pow.f64 (+.f64 2 alpha) 6))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 6)))))) (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2)) (pow.f64 (+.f64 2 alpha) 6))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4))))))))
(/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))
(+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 4 (*.f64 2 alpha))) (pow.f64 beta 3))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) (pow.f64 beta 4))) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 4 (*.f64 2 alpha))) (pow.f64 beta 3)))))
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(/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 3))) (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 3))) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -4 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) (pow.f64 beta 4)))))
(+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 -4 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) (+.f64 2 alpha)) (pow.f64 beta 5))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 alpha 2)) (pow.f64 beta 5))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 3))) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -4 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) (pow.f64 beta 4)))))))
(/.f64 (pow.f64 alpha 2) (+.f64 beta 2))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (pow.f64 alpha 2) (+.f64 beta 2)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 2)) (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 3))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 5) (pow.f64 (+.f64 beta 2) 4))) (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 3)))))
alpha
(+.f64 (*.f64 -1 (+.f64 beta 2)) alpha)
(+.f64 (*.f64 -1 (+.f64 beta 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha) alpha))
(+.f64 (*.f64 -1 (+.f64 beta 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 2))) alpha)))
alpha
(+.f64 (*.f64 -1 (+.f64 beta 2)) alpha)
(+.f64 (*.f64 -1 (+.f64 beta 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha) alpha))
(+.f64 (*.f64 -1 (+.f64 beta 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 2))) alpha)))
(/.f64 (pow.f64 alpha 2) (+.f64 2 alpha))
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 2 alpha)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2))))
(+.f64 (/.f64 (*.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 3)) (+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 2 alpha)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2)))))
(+.f64 (/.f64 (*.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 3)) (+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 2 alpha)) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 3) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 4))))))
(/.f64 (pow.f64 alpha 2) beta)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 2))) (/.f64 (pow.f64 alpha 2) beta))
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (pow.f64 beta 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 2))) (/.f64 (pow.f64 alpha 2) beta)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 alpha 2)) (pow.f64 beta 4))) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (pow.f64 beta 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 2))) (/.f64 (pow.f64 alpha 2) beta))))
(/.f64 (pow.f64 alpha 2) beta)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 2))) (/.f64 (pow.f64 alpha 2) beta))
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (pow.f64 beta 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 2))) (/.f64 (pow.f64 alpha 2) beta)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 alpha 2)) (pow.f64 beta 4))) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (pow.f64 beta 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 2))) (/.f64 (pow.f64 alpha 2) beta))))
-1
(-.f64 (/.f64 alpha (+.f64 beta 2)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 alpha (+.f64 beta 2))) 1)
(-.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (-.f64 (+.f64 (*.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 4))) (*.f64 4 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 alpha (+.f64 beta 2)))) 1)
(*.f64 -1/2 (/.f64 (+.f64 4 (*.f64 2 beta)) alpha))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 -1 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2)))) (*.f64 -1/4 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2)))) (pow.f64 alpha 2))) (*.f64 -1/2 (/.f64 (+.f64 4 (*.f64 2 beta)) alpha)))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 -1 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2)))) (*.f64 -1/4 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2)))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 -1 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2))))) (*.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 (+.f64 beta 2) 2))))) (+.f64 (*.f64 -1/2 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 1/2 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 -1 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2)))) (*.f64 -1/4 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2)))))) (*.f64 1/4 (*.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 3))) (*.f64 -1/2 (/.f64 (+.f64 4 (*.f64 2 beta)) alpha))))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 -1 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2)))) (*.f64 -1/4 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2)))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 -1 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2))))) (*.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 (+.f64 beta 2) 2))))) (+.f64 (*.f64 -1/2 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 1/2 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 -1 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2)))) (*.f64 -1/4 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2)))))) (*.f64 1/4 (*.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 -1 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2))))) (*.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 (*.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 -1 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2))))) (*.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 (+.f64 beta 2) 2)))))))) (+.f64 (*.f64 -1/4 (*.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 (+.f64 beta 2) 3))) (+.f64 (*.f64 -1/2 (*.f64 (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 -1 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2))))) (*.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 (+.f64 beta 2) 2))))) (+.f64 (*.f64 -1/2 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 1/2 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 -1 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2)))) (*.f64 -1/4 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2)))))) (*.f64 1/4 (*.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 (+.f64 beta 2) 2))))) (+.f64 beta 2))) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 (*.f64 1/2 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 -1 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2)))) (*.f64 -1/4 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2))))))))) (pow.f64 alpha 4))) (*.f64 -1/2 (/.f64 (+.f64 4 (*.f64 2 beta)) alpha)))))
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
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(*.f64 (/.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (+.f64 alpha (+.f64 2 beta))) alpha)
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(*.f64 (/.f64 (/.f64 (*.f64 alpha alpha) (+.f64 alpha (+.f64 2 beta))) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3))) (fma.f64 alpha alpha (*.f64 (+.f64 2 beta) (-.f64 (+.f64 2 beta) alpha))))
(*.f64 (/.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 alpha (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))))
(*.f64 (/.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1) (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))
(*.f64 (/.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (/.f64 alpha (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))))
(*.f64 (/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) 1) (/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (+.f64 alpha (+.f64 2 beta))))
(*.f64 (/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 alpha alpha) (+.f64 alpha (+.f64 2 beta)))) 2) 1) (/.f64 (cbrt.f64 (/.f64 (*.f64 alpha alpha) (+.f64 alpha (+.f64 2 beta)))) (+.f64 alpha (+.f64 2 beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 alpha alpha) (+.f64 alpha (+.f64 2 beta)))) 2) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 (cbrt.f64 (/.f64 (*.f64 alpha alpha) (+.f64 alpha (+.f64 2 beta)))) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 alpha alpha) (+.f64 alpha (+.f64 2 beta)))) 2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)))
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)
(pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) 1)
(pow.f64 (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)) 3)
(pow.f64 (/.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)) -1)
(pow.f64 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) 3) 1/3)
(neg.f64 (/.f64 (/.f64 (*.f64 alpha alpha) (+.f64 alpha (+.f64 2 beta))) (+.f64 -2 (neg.f64 (+.f64 alpha beta)))))
(sqrt.f64 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) 2))
(log.f64 (exp.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)))
(exp.f64 (log.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 alpha alpha) (+.f64 alpha (+.f64 2 beta))))) 1)
(/.f64 1 (/.f64 (+.f64 alpha (+.f64 2 beta)) (*.f64 alpha alpha)))
(/.f64 alpha (/.f64 (+.f64 alpha (+.f64 2 beta)) alpha))
(/.f64 (*.f64 alpha alpha) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (*.f64 alpha (neg.f64 alpha)) (+.f64 -2 (neg.f64 (+.f64 alpha beta))))
(/.f64 (*.f64 (neg.f64 alpha) alpha) (+.f64 -2 (neg.f64 (+.f64 alpha beta))))
(/.f64 (/.f64 (*.f64 alpha alpha) 1) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (/.f64 (*.f64 alpha alpha) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (sqrt.f64 (+.f64 alpha (+.f64 2 beta))))
(/.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (cbrt.f64 (+.f64 alpha (+.f64 2 beta))))
(/.f64 (neg.f64 (*.f64 alpha alpha)) (+.f64 -2 (neg.f64 (+.f64 alpha beta))))
(pow.f64 (/.f64 (*.f64 alpha alpha) (+.f64 alpha (+.f64 2 beta))) 1)
(pow.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 alpha alpha) (+.f64 alpha (+.f64 2 beta)))) 3)
(pow.f64 (pow.f64 (/.f64 (*.f64 alpha alpha) (+.f64 alpha (+.f64 2 beta))) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 (*.f64 alpha alpha) (+.f64 alpha (+.f64 2 beta))) 2))
(log.f64 (pow.f64 (exp.f64 alpha) (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 alpha alpha) (+.f64 alpha (+.f64 2 beta))))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 alpha alpha) (+.f64 alpha (+.f64 2 beta))) 3))
(cbrt.f64 (*.f64 (pow.f64 alpha 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3) (pow.f64 alpha 3)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 alpha alpha) (+.f64 alpha (+.f64 2 beta)))))
(exp.f64 (log.f64 (/.f64 (*.f64 alpha alpha) (+.f64 alpha (+.f64 2 beta)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 alpha alpha) (+.f64 alpha (+.f64 2 beta)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 alpha alpha) (+.f64 alpha (+.f64 2 beta)))))
(+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)
(+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))
(+.f64 (/.f64 1 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) (neg.f64 (/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))))
(+.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))) (/.f64 1 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))))
(-.f64 (/.f64 1 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) (/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))))
(-.f64 (exp.f64 (log.f64 (+.f64 0 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))) 1)
(-.f64 (+.f64 -1 (exp.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))) 1)
(*.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)) (/.f64 1 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))))
(*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) 1)
(*.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)) (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2))) (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2))) (/.f64 1 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))))
(*.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)) 2) (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2))) 2) (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2))) (/.f64 1 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))))
(*.f64 (/.f64 1 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)))
(*.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2))) (/.f64 1 (neg.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)) (sqrt.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) 2)) (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)) (cbrt.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2))) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)) (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3))) (+.f64 1 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2))) 1) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2))) (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2))) (pow.f64 (cbrt.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2))) (cbrt.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2))) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2))) (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2))) 2) (sqrt.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2))) (sqrt.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2))) 2) (pow.f64 (cbrt.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) 2)) (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))
(pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) 1)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)) 2)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) 3) 1/3)
(pow.f64 (/.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)) -1)
(neg.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)) (neg.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)) 3) (pow.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 3)))
(expm1.f64 (log.f64 (+.f64 0 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))))
(exp.f64 (log.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))
Outputs
1
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) 1)
(fma.f64 -1 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2)) 1)
(fma.f64 -1 (/.f64 alpha (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) 1)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 1 (*.f64 (+.f64 (*.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 4))) (*.f64 4 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 3))))
(+.f64 (fma.f64 -1 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2)) 1) (*.f64 (fma.f64 2 (/.f64 beta (pow.f64 (+.f64 2 beta) 4)) (/.f64 4 (pow.f64 (+.f64 2 beta) 4))) (pow.f64 alpha 3)))
(+.f64 (fma.f64 -1 (/.f64 alpha (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) 1) (*.f64 (fma.f64 2 (/.f64 beta (pow.f64 (+.f64 2 beta) 4)) (/.f64 4 (pow.f64 (+.f64 2 beta) 4))) (pow.f64 alpha 3)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 1 (+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 4))) (*.f64 4 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)))) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (pow.f64 (+.f64 beta 2) 4))) (pow.f64 alpha 4)) (*.f64 (+.f64 (*.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 4))) (*.f64 4 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 3)))))
(+.f64 (fma.f64 -1 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2)) 1) (fma.f64 (fma.f64 -1 (/.f64 (fma.f64 2 (/.f64 beta (pow.f64 (+.f64 2 beta) 4)) (/.f64 4 (pow.f64 (+.f64 2 beta) 4))) (/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 4 (*.f64 2 beta)))) (/.f64 1 (pow.f64 (+.f64 2 beta) 4))) (pow.f64 alpha 4) (*.f64 (fma.f64 2 (/.f64 beta (pow.f64 (+.f64 2 beta) 4)) (/.f64 4 (pow.f64 (+.f64 2 beta) 4))) (pow.f64 alpha 3))))
(+.f64 (fma.f64 -1 (/.f64 alpha (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) 1) (fma.f64 (fma.f64 -1 (/.f64 (fma.f64 2 (/.f64 beta (pow.f64 (+.f64 2 beta) 4)) (/.f64 4 (pow.f64 (+.f64 2 beta) 4))) (/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 4 (*.f64 2 beta)))) (/.f64 1 (pow.f64 (+.f64 2 beta) 4))) (pow.f64 alpha 4) (*.f64 (fma.f64 2 (/.f64 beta (pow.f64 (+.f64 2 beta) 4)) (/.f64 4 (pow.f64 (+.f64 2 beta) 4))) (pow.f64 alpha 3))))
(/.f64 (+.f64 4 (*.f64 2 beta)) alpha)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 4 (/.f64 1 alpha)))))
(fma.f64 -1 (/.f64 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2) (*.f64 alpha alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (fma.f64 2 (/.f64 beta alpha) (/.f64 4 alpha))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 -1 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2)))) (pow.f64 alpha 3))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 4 (/.f64 1 alpha)))))))
(fma.f64 -1 (/.f64 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2) (*.f64 alpha alpha)) (fma.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2))) (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (fma.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) (/.f64 (pow.f64 alpha 3) (+.f64 (pow.f64 (+.f64 2 beta) 2) (neg.f64 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2))))) (fma.f64 2 (/.f64 beta alpha) (/.f64 4 alpha))))))
(fma.f64 -1 (/.f64 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2) (*.f64 alpha alpha)) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 (pow.f64 alpha 3) (+.f64 4 (*.f64 2 beta)))) (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (fma.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) (/.f64 (pow.f64 alpha 3) (+.f64 (pow.f64 (+.f64 2 beta) 2) (neg.f64 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2))))) (fma.f64 2 (/.f64 beta alpha) (/.f64 4 alpha))))))
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(fma.f64 2 (/.f64 (*.f64 -3 (*.f64 alpha (*.f64 alpha (pow.f64 (+.f64 alpha 2) 3)))) (pow.f64 beta 5)) (fma.f64 2 (/.f64 (pow.f64 (+.f64 alpha 2) 3) (/.f64 (pow.f64 beta 5) (*.f64 alpha alpha))) (+.f64 (fma.f64 -2 (/.f64 (+.f64 alpha 2) (/.f64 (pow.f64 beta 3) (*.f64 alpha alpha))) (/.f64 alpha (/.f64 beta (/.f64 alpha beta)))) (/.f64 (*.f64 3 (*.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2))) (pow.f64 beta 4)))))
(/.f64 (pow.f64 alpha 2) (+.f64 beta 2))
(/.f64 (*.f64 alpha alpha) (+.f64 2 beta))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (pow.f64 alpha 2) (+.f64 beta 2)))
(fma.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2)) (/.f64 (*.f64 alpha alpha) (+.f64 2 beta)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 2)) (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 3))))
(fma.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2)) (+.f64 (/.f64 (*.f64 alpha alpha) (+.f64 2 beta)) (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 2 beta) 3))))
(+.f64 (fma.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2)) (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 2 beta) 3)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 5) (pow.f64 (+.f64 beta 2) 4))) (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 3)))))
(+.f64 (fma.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2)) (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (fma.f64 -1 (/.f64 (pow.f64 alpha 5) (pow.f64 (+.f64 2 beta) 4)) (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 2 beta) 3))))
alpha
(+.f64 (*.f64 -1 (+.f64 beta 2)) alpha)
(-.f64 alpha (+.f64 2 beta))
(+.f64 (*.f64 -1 (+.f64 beta 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha) alpha))
(fma.f64 -1 (+.f64 2 beta) (+.f64 alpha (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)))
(+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha) (-.f64 alpha (+.f64 2 beta)))
(+.f64 (*.f64 -1 (+.f64 beta 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 2))) alpha)))
(fma.f64 -1 (+.f64 2 beta) (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 3) (*.f64 alpha alpha)) alpha)))
(+.f64 (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha) (-.f64 alpha (+.f64 2 beta))) (neg.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (*.f64 alpha alpha))))
alpha
(+.f64 (*.f64 -1 (+.f64 beta 2)) alpha)
(-.f64 alpha (+.f64 2 beta))
(+.f64 (*.f64 -1 (+.f64 beta 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha) alpha))
(fma.f64 -1 (+.f64 2 beta) (+.f64 alpha (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)))
(+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha) (-.f64 alpha (+.f64 2 beta)))
(+.f64 (*.f64 -1 (+.f64 beta 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 2))) alpha)))
(fma.f64 -1 (+.f64 2 beta) (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 3) (*.f64 alpha alpha)) alpha)))
(+.f64 (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha) (-.f64 alpha (+.f64 2 beta))) (neg.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (*.f64 alpha alpha))))
(/.f64 (pow.f64 alpha 2) (+.f64 2 alpha))
(/.f64 (*.f64 alpha alpha) (+.f64 alpha 2))
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 2 alpha)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2))))
(+.f64 (/.f64 (*.f64 alpha alpha) (+.f64 alpha 2)) (neg.f64 (/.f64 (*.f64 (*.f64 alpha alpha) beta) (pow.f64 (+.f64 alpha 2) 2))))
(+.f64 (/.f64 (*.f64 alpha alpha) (+.f64 alpha 2)) (/.f64 (*.f64 (*.f64 alpha (neg.f64 alpha)) beta) (pow.f64 (+.f64 alpha 2) 2)))
(+.f64 (/.f64 (*.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 3)) (+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 2 alpha)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2)))))
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(+.f64 (/.f64 (*.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 3)) (+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 2 alpha)) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 3) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 4))))))
(+.f64 (/.f64 (*.f64 beta beta) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (*.f64 alpha alpha))) (+.f64 (/.f64 (*.f64 alpha alpha) (+.f64 alpha 2)) (*.f64 -1 (+.f64 (/.f64 (*.f64 (*.f64 alpha alpha) beta) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (*.f64 (*.f64 alpha alpha) (pow.f64 beta 3)) (pow.f64 (+.f64 alpha 2) 4))))))
(+.f64 (/.f64 (*.f64 alpha alpha) (+.f64 alpha 2)) (+.f64 (*.f64 -1 (+.f64 (/.f64 (*.f64 alpha alpha) (/.f64 (pow.f64 (+.f64 alpha 2) 2) beta)) (/.f64 (*.f64 alpha alpha) (/.f64 (pow.f64 (+.f64 alpha 2) 4) (pow.f64 beta 3))))) (/.f64 (*.f64 alpha alpha) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (*.f64 beta beta)))))
(/.f64 (pow.f64 alpha 2) beta)
(/.f64 (*.f64 alpha alpha) beta)
(/.f64 alpha (/.f64 beta alpha))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 2))) (/.f64 (pow.f64 alpha 2) beta))
(fma.f64 -1 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (/.f64 (*.f64 alpha alpha) beta))
(fma.f64 -1 (/.f64 (*.f64 alpha alpha) (/.f64 (*.f64 beta beta) (+.f64 alpha 2))) (/.f64 alpha (/.f64 beta alpha)))
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(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 alpha 2)) (pow.f64 beta 4))) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (pow.f64 beta 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 2))) (/.f64 (pow.f64 alpha 2) beta))))
(fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 3) (/.f64 (pow.f64 beta 4) (*.f64 alpha alpha))) (+.f64 (fma.f64 -1 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (/.f64 (*.f64 alpha alpha) beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) (*.f64 alpha alpha)))))
(fma.f64 -1 (/.f64 (*.f64 alpha (*.f64 alpha (pow.f64 (+.f64 alpha 2) 3))) (pow.f64 beta 4)) (+.f64 (fma.f64 -1 (/.f64 (*.f64 alpha alpha) (/.f64 (*.f64 beta beta) (+.f64 alpha 2))) (/.f64 alpha (/.f64 beta alpha))) (/.f64 (*.f64 alpha alpha) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 2)))))
(/.f64 (pow.f64 alpha 2) beta)
(/.f64 (*.f64 alpha alpha) beta)
(/.f64 alpha (/.f64 beta alpha))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 2))) (/.f64 (pow.f64 alpha 2) beta))
(fma.f64 -1 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (/.f64 (*.f64 alpha alpha) beta))
(fma.f64 -1 (/.f64 (*.f64 alpha alpha) (/.f64 (*.f64 beta beta) (+.f64 alpha 2))) (/.f64 alpha (/.f64 beta alpha)))
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (pow.f64 beta 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 2))) (/.f64 (pow.f64 alpha 2) beta)))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (/.f64 (*.f64 alpha alpha) beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) (*.f64 alpha alpha))))
(+.f64 (fma.f64 -1 (/.f64 (*.f64 alpha alpha) (/.f64 (*.f64 beta beta) (+.f64 alpha 2))) (/.f64 alpha (/.f64 beta alpha))) (/.f64 (*.f64 alpha alpha) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 2))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 alpha 2)) (pow.f64 beta 4))) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (pow.f64 beta 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 2))) (/.f64 (pow.f64 alpha 2) beta))))
(fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 3) (/.f64 (pow.f64 beta 4) (*.f64 alpha alpha))) (+.f64 (fma.f64 -1 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (/.f64 (*.f64 alpha alpha) beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) (*.f64 alpha alpha)))))
(fma.f64 -1 (/.f64 (*.f64 alpha (*.f64 alpha (pow.f64 (+.f64 alpha 2) 3))) (pow.f64 beta 4)) (+.f64 (fma.f64 -1 (/.f64 (*.f64 alpha alpha) (/.f64 (*.f64 beta beta) (+.f64 alpha 2))) (/.f64 alpha (/.f64 beta alpha))) (/.f64 (*.f64 alpha alpha) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 2)))))
-1
(-.f64 (/.f64 alpha (+.f64 beta 2)) 1)
(+.f64 (/.f64 alpha (+.f64 2 beta)) -1)
(+.f64 -1 (/.f64 alpha (+.f64 2 beta)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 alpha (+.f64 beta 2))) 1)
(+.f64 (fma.f64 -1 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2)) (/.f64 alpha (+.f64 2 beta))) -1)
(+.f64 -1 (fma.f64 -1 (/.f64 alpha (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (/.f64 alpha (+.f64 2 beta))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (-.f64 (+.f64 (*.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 4))) (*.f64 4 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 alpha (+.f64 beta 2)))) 1)
(+.f64 (fma.f64 -1 (*.f64 (pow.f64 alpha 3) (-.f64 (fma.f64 2 (/.f64 beta (pow.f64 (+.f64 2 beta) 4)) (/.f64 4 (pow.f64 (+.f64 2 beta) 4))) (/.f64 3 (pow.f64 (+.f64 2 beta) 3)))) (fma.f64 -1 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2)) (/.f64 alpha (+.f64 2 beta)))) -1)
(+.f64 -1 (fma.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (fma.f64 2 (/.f64 beta (pow.f64 (+.f64 2 beta) 4)) (/.f64 4 (pow.f64 (+.f64 2 beta) 4))) (/.f64 -3 (pow.f64 (+.f64 2 beta) 3)))) (fma.f64 -1 (/.f64 alpha (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (/.f64 alpha (+.f64 2 beta)))))
(*.f64 -1/2 (/.f64 (+.f64 4 (*.f64 2 beta)) alpha))
(*.f64 (/.f64 (+.f64 4 (*.f64 2 beta)) alpha) -1/2)
(/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) -1/2) alpha)
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 -1 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2)))) (*.f64 -1/4 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2)))) (pow.f64 alpha 2))) (*.f64 -1/2 (/.f64 (+.f64 4 (*.f64 2 beta)) alpha)))
(fma.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (neg.f64 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2))) 1/2) (*.f64 1/4 (*.f64 (+.f64 2 beta) (+.f64 4 (*.f64 2 beta))))) (*.f64 alpha alpha)) (*.f64 (/.f64 (+.f64 4 (*.f64 2 beta)) alpha) -1/2))
(fma.f64 -1 (/.f64 (fma.f64 1/2 (+.f64 (pow.f64 (+.f64 2 beta) 2) (neg.f64 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2))) (neg.f64 (*.f64 (+.f64 2 beta) (*.f64 (+.f64 4 (*.f64 2 beta)) -1/4)))) (*.f64 alpha alpha)) (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) -1/2) alpha))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 -1 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2)))) (*.f64 -1/4 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2)))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 -1 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2))))) (*.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 (+.f64 beta 2) 2))))) (+.f64 (*.f64 -1/2 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 1/2 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 -1 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2)))) (*.f64 -1/4 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2)))))) (*.f64 1/4 (*.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 3))) (*.f64 -1/2 (/.f64 (+.f64 4 (*.f64 2 beta)) alpha))))
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(exp.f64 (log.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)))
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)) 1))
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)))
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 alpha alpha) (+.f64 alpha (+.f64 2 beta))))) 1)
(/.f64 (*.f64 alpha alpha) (+.f64 alpha (+.f64 2 beta)))
(/.f64 1 (/.f64 (+.f64 alpha (+.f64 2 beta)) (*.f64 alpha alpha)))
(*.f64 1 (/.f64 (*.f64 alpha alpha) (+.f64 alpha (+.f64 2 beta))))
(/.f64 alpha (/.f64 (+.f64 alpha (+.f64 2 beta)) alpha))
(/.f64 (*.f64 alpha alpha) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (*.f64 alpha alpha) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (*.f64 alpha (neg.f64 alpha)) (+.f64 -2 (neg.f64 (+.f64 alpha beta))))
(/.f64 (neg.f64 (*.f64 alpha alpha)) (-.f64 -2 (+.f64 alpha beta)))
(/.f64 alpha (/.f64 (-.f64 -2 (+.f64 alpha beta)) (neg.f64 alpha)))
(/.f64 (*.f64 (neg.f64 alpha) alpha) (+.f64 -2 (neg.f64 (+.f64 alpha beta))))
(/.f64 (neg.f64 (*.f64 alpha alpha)) (-.f64 -2 (+.f64 alpha beta)))
(/.f64 alpha (/.f64 (-.f64 -2 (+.f64 alpha beta)) (neg.f64 alpha)))
(/.f64 (/.f64 (*.f64 alpha alpha) 1) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (*.f64 alpha alpha) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (/.f64 (*.f64 alpha alpha) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (sqrt.f64 (+.f64 alpha (+.f64 2 beta))))
(/.f64 (*.f64 alpha alpha) (*.f64 (sqrt.f64 (+.f64 alpha (+.f64 2 beta))) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))))
(/.f64 alpha (/.f64 (*.f64 (sqrt.f64 (+.f64 alpha (+.f64 2 beta))) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) alpha))
(/.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (cbrt.f64 (+.f64 alpha (+.f64 2 beta))))
(/.f64 (/.f64 (*.f64 alpha alpha) (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2))
(/.f64 (neg.f64 (*.f64 alpha alpha)) (+.f64 -2 (neg.f64 (+.f64 alpha beta))))
(/.f64 (neg.f64 (*.f64 alpha alpha)) (-.f64 -2 (+.f64 alpha beta)))
(/.f64 alpha (/.f64 (-.f64 -2 (+.f64 alpha beta)) (neg.f64 alpha)))
(pow.f64 (/.f64 (*.f64 alpha alpha) (+.f64 alpha (+.f64 2 beta))) 1)
(/.f64 (*.f64 alpha alpha) (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 alpha alpha) (+.f64 alpha (+.f64 2 beta)))) 3)
(/.f64 (*.f64 alpha alpha) (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (pow.f64 (/.f64 (*.f64 alpha alpha) (+.f64 alpha (+.f64 2 beta))) 3) 1/3)
(/.f64 (*.f64 alpha alpha) (+.f64 alpha (+.f64 2 beta)))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 alpha alpha) (+.f64 alpha (+.f64 2 beta))) 2))
(log.f64 (pow.f64 (exp.f64 alpha) (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))
(*.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (log.f64 (exp.f64 alpha)))
(/.f64 (*.f64 alpha (log.f64 (exp.f64 alpha))) (+.f64 alpha (+.f64 2 beta)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 alpha alpha) (+.f64 alpha (+.f64 2 beta))))))
(/.f64 (*.f64 alpha alpha) (+.f64 alpha (+.f64 2 beta)))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 alpha alpha) (+.f64 alpha (+.f64 2 beta))) 3))
(/.f64 (*.f64 alpha alpha) (+.f64 alpha (+.f64 2 beta)))
(cbrt.f64 (*.f64 (pow.f64 alpha 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3) (pow.f64 alpha 3)))
(cbrt.f64 (*.f64 (pow.f64 alpha 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 alpha alpha) (+.f64 alpha (+.f64 2 beta)))))
(/.f64 (*.f64 alpha alpha) (+.f64 alpha (+.f64 2 beta)))
(exp.f64 (log.f64 (/.f64 (*.f64 alpha alpha) (+.f64 alpha (+.f64 2 beta)))))
(/.f64 (*.f64 alpha alpha) (+.f64 alpha (+.f64 2 beta)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 alpha alpha) (+.f64 alpha (+.f64 2 beta)))) 1))
(/.f64 (*.f64 alpha alpha) (+.f64 alpha (+.f64 2 beta)))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 alpha alpha) (+.f64 alpha (+.f64 2 beta)))))
(/.f64 (*.f64 alpha alpha) (+.f64 alpha (+.f64 2 beta)))
(+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)
(+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))
(+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))
(+.f64 (/.f64 1 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) (neg.f64 (/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))))
(-.f64 (/.f64 1 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) (/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))))
(+.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))) (/.f64 1 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))))
(-.f64 (/.f64 1 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) (/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))))
(-.f64 (/.f64 1 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) (/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))))
(-.f64 (exp.f64 (log.f64 (+.f64 0 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))) 1)
(+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))
(-.f64 (+.f64 -1 (exp.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))) 1)
(+.f64 (+.f64 -1 (exp.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))) -1)
(+.f64 (exp.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) -2)
(*.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))
(+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)) (/.f64 1 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)) (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))
(*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) 1)
(+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)) (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))
(+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2))) (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2))) (/.f64 1 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)) (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))
(*.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)) 2))
(+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)) 2) (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))
(+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2))) 2) (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2))) (/.f64 1 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)) (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))
(*.f64 (/.f64 1 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)) (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))
(*.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2))) (/.f64 1 (neg.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))))
(neg.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)) (/.f64 1 (neg.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)) (sqrt.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)) (sqrt.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))) (sqrt.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) 2)) (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)) (cbrt.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)) (cbrt.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))) (pow.f64 (cbrt.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) 2))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2))) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))
(+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)) (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3))) (+.f64 1 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)) (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3))) (+.f64 1 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)) (/.f64 (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3)) (+.f64 1 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2))) 1) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2))) (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)) (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2))) (pow.f64 (cbrt.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2))) (cbrt.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) 2)) (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)) (cbrt.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)) (cbrt.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))) (pow.f64 (cbrt.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2))) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2))) (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)) (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2))) 2) (sqrt.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2))) (sqrt.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)) (sqrt.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)) (sqrt.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))) (sqrt.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2))) 2) (pow.f64 (cbrt.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) 2)) (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))
(*.f64 (cbrt.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2))) 2) (pow.f64 (cbrt.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) 2)))
(pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) 1)
(+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)) 2)
(+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)) 3)
(+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))
(pow.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) 3) 1/3)
(+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))
(pow.f64 (/.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)) -1)
(/.f64 1 (/.f64 1 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))))
(neg.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)) (neg.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))))
(neg.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)) (/.f64 1 (neg.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) 2))
(sqrt.f64 (pow.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))
(+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))))
(+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) 3))
(+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)) 3) (pow.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 3)))
(expm1.f64 (log.f64 (+.f64 0 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))))
(+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))
(exp.f64 (log.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))
(+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)) 1))
(+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))
(+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.2b
(/.f64 (/.f64 2 alpha) 2)
Compiler

Compiled 12 to 9 computations (25% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite51.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
1304×add-sqr-sqrt
1278×*-un-lft-identity
1202×add-cube-cbrt
1192×add-cbrt-cube
1180×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0613
11357
217077
Stop Event
node limit
Counts
1 → 25
Calls
Call 1
Inputs
(/.f64 (/.f64 2 alpha) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1 alpha) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (*.f64 2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 alpha) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 1 (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 2 alpha)) (*.f64 (sqrt.f64 (/.f64 2 alpha)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 alpha)) (pow.f64 (/.f64 1 (cbrt.f64 alpha)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (cbrt.f64 alpha)) 2) (/.f64 1 (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2) (*.f64 (cbrt.f64 (/.f64 2 alpha)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 alpha) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 alpha -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (sqrt.f64 alpha)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 alpha)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 alpha) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 2 alpha) -2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 alpha) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 alpha)))))))

simplify49.0ms (0.2%)

Algorithm
egg-herbie
Rules
1420×associate-*r*
1040×associate-*l*
692×distribute-lft-neg-in
658×distribute-rgt-neg-in
628×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063259
1147259
2493259
33987259
Stop Event
node limit
Counts
37 → 26
Calls
Call 1
Inputs
(/.f64 1 alpha)
(/.f64 1 alpha)
(/.f64 1 alpha)
(/.f64 1 alpha)
(/.f64 1 alpha)
(/.f64 1 alpha)
(/.f64 1 alpha)
(/.f64 1 alpha)
(/.f64 1 alpha)
(/.f64 1 alpha)
(/.f64 1 alpha)
(/.f64 1 alpha)
(-.f64 (+.f64 1 (/.f64 1 alpha)) 1)
(*.f64 2 (*.f64 (/.f64 1 alpha) 1/2))
(*.f64 2 (/.f64 1 (*.f64 2 alpha)))
(*.f64 (/.f64 2 alpha) 1/2)
(*.f64 (/.f64 1 alpha) 1)
(*.f64 1 (/.f64 1 alpha))
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 1 (sqrt.f64 alpha)))
(*.f64 (sqrt.f64 (/.f64 2 alpha)) (*.f64 (sqrt.f64 (/.f64 2 alpha)) 1/2))
(*.f64 (/.f64 1 (cbrt.f64 alpha)) (pow.f64 (/.f64 1 (cbrt.f64 alpha)) 2))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 alpha)) 2) (/.f64 1 (cbrt.f64 alpha)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2) (*.f64 (cbrt.f64 (/.f64 2 alpha)) 1/2))
(*.f64 1/2 (/.f64 2 alpha))
(*.f64 (/.f64 -2 alpha) -1/2)
(pow.f64 alpha -1)
(pow.f64 (/.f64 1 alpha) 1)
(pow.f64 (/.f64 1 (sqrt.f64 alpha)) 2)
(pow.f64 (/.f64 1 (cbrt.f64 alpha)) 3)
(pow.f64 (pow.f64 (/.f64 1 alpha) 3) 1/3)
(neg.f64 (/.f64 (/.f64 2 alpha) -2))
(sqrt.f64 (/.f64 1 (*.f64 alpha alpha)))
(log.f64 (exp.f64 (/.f64 1 alpha)))
(cbrt.f64 (pow.f64 (/.f64 1 alpha) 3))
(expm1.f64 (log1p.f64 (/.f64 1 alpha)))
(exp.f64 (neg.f64 (log.f64 alpha)))
(log1p.f64 (expm1.f64 (/.f64 1 alpha)))
Outputs
(/.f64 1 alpha)
(/.f64 1 alpha)
(/.f64 1 alpha)
(/.f64 1 alpha)
(/.f64 1 alpha)
(/.f64 1 alpha)
(/.f64 1 alpha)
(/.f64 1 alpha)
(/.f64 1 alpha)
(/.f64 1 alpha)
(/.f64 1 alpha)
(/.f64 1 alpha)
(-.f64 (+.f64 1 (/.f64 1 alpha)) 1)
(/.f64 1 alpha)
(*.f64 2 (*.f64 (/.f64 1 alpha) 1/2))
(/.f64 1 alpha)
(*.f64 2 (/.f64 1 (*.f64 2 alpha)))
(/.f64 1 alpha)
(*.f64 (/.f64 2 alpha) 1/2)
(/.f64 1 alpha)
(*.f64 (/.f64 1 alpha) 1)
(/.f64 1 alpha)
(*.f64 1 (/.f64 1 alpha))
(/.f64 1 alpha)
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 1 (sqrt.f64 alpha)))
(/.f64 1 alpha)
(*.f64 (sqrt.f64 (/.f64 2 alpha)) (*.f64 (sqrt.f64 (/.f64 2 alpha)) 1/2))
(/.f64 1 alpha)
(*.f64 (/.f64 1 (cbrt.f64 alpha)) (pow.f64 (/.f64 1 (cbrt.f64 alpha)) 2))
(/.f64 1 alpha)
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 alpha)) 2) (/.f64 1 (cbrt.f64 alpha)))
(/.f64 1 alpha)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2) (*.f64 (cbrt.f64 (/.f64 2 alpha)) 1/2))
(/.f64 1 alpha)
(*.f64 1/2 (/.f64 2 alpha))
(/.f64 1 alpha)
(*.f64 (/.f64 -2 alpha) -1/2)
(/.f64 1 alpha)
(pow.f64 alpha -1)
(/.f64 1 alpha)
(pow.f64 (/.f64 1 alpha) 1)
(/.f64 1 alpha)
(pow.f64 (/.f64 1 (sqrt.f64 alpha)) 2)
(/.f64 1 alpha)
(pow.f64 (/.f64 1 (cbrt.f64 alpha)) 3)
(/.f64 1 alpha)
(pow.f64 (pow.f64 (/.f64 1 alpha) 3) 1/3)
(/.f64 1 alpha)
(neg.f64 (/.f64 (/.f64 2 alpha) -2))
(/.f64 1 alpha)
(sqrt.f64 (/.f64 1 (*.f64 alpha alpha)))
(/.f64 1 alpha)
(log.f64 (exp.f64 (/.f64 1 alpha)))
(/.f64 1 alpha)
(cbrt.f64 (pow.f64 (/.f64 1 alpha) 3))
(/.f64 1 alpha)
(expm1.f64 (log1p.f64 (/.f64 1 alpha)))
(/.f64 1 alpha)
(exp.f64 (neg.f64 (log.f64 alpha)))
(/.f64 1 alpha)
(log1p.f64 (expm1.f64 (/.f64 1 alpha)))
(/.f64 1 alpha)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 29 to 21 computations (27.6% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
beta
@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)

rewrite63.0ms (0.3%)

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)))))

simplify57.0ms (0.3%)

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

Useful iterations: 2 (0.0ms)

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

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 1 (-.f64 beta alpha))
0.0b
(/.f64 (/.f64 1 (/.f64 1 (-.f64 beta alpha))) (+.f64 beta (+.f64 alpha 2)))
0.2b
(/.f64 1 (/.f64 1 (-.f64 beta alpha)))
6.2b
(+.f64 (/.f64 (/.f64 1 (/.f64 1 (-.f64 beta alpha))) (+.f64 beta (+.f64 alpha 2))) 1)
Compiler

Compiled 74 to 46 computations (37.8% saved)

series4.0ms (0%)

Counts
4 → 96
Calls

24 calls:

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

rewrite110.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1370×associate-/l*
1328×associate-/r/
874×associate-/l/
308×add-sqr-sqrt
306×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01376
131676
2434276
Stop Event
node limit
Counts
4 → 275
Calls
Call 1
Inputs
(+.f64 (/.f64 (/.f64 1 (/.f64 1 (-.f64 beta alpha))) (+.f64 beta (+.f64 alpha 2))) 1)
(/.f64 1 (/.f64 1 (-.f64 beta alpha)))
(/.f64 (/.f64 1 (/.f64 1 (-.f64 beta alpha))) (+.f64 beta (+.f64 alpha 2)))
(/.f64 1 (-.f64 beta alpha))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 0)))) (#(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 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (+.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 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))))) (#(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 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)) (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 1)) (+.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (-.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (*.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) (+.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) 3) (pow.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3))) (+.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (-.f64 (*.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 beta alpha)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (-.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (neg.f64 (/.f64 -1 (-.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 beta alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 beta alpha) -1/2) (pow.f64 (-.f64 beta alpha) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (-.f64 beta alpha))) (cbrt.f64 (pow.f64 (-.f64 beta alpha) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 beta alpha) -2)) (/.f64 1 (cbrt.f64 (-.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1 (-.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (-.f64 beta alpha)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 beta 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(*.f64 (neg.f64 (log.f64 (-.f64 beta alpha))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 beta alpha)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (-.f64 beta alpha))))))))

simplify150.0ms (0.8%)

Algorithm
egg-herbie
Rules
1458×associate-*r*
1204×associate-*l*
944×+-commutative
934×*-commutative
790×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
092217867
1291117185
Stop Event
node limit
Counts
371 → 554
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 alpha)
(+.f64 beta (*.f64 -1 alpha))
(+.f64 beta (*.f64 -1 alpha))
(+.f64 beta (*.f64 -1 alpha))
beta
(+.f64 beta (*.f64 -1 alpha))
(+.f64 beta (*.f64 -1 alpha))
(+.f64 beta (*.f64 -1 alpha))
beta
(+.f64 beta (*.f64 -1 alpha))
(+.f64 beta (*.f64 -1 alpha))
(+.f64 beta (*.f64 -1 alpha))
beta
(+.f64 beta (*.f64 -1 alpha))
(+.f64 beta (*.f64 -1 alpha))
(+.f64 beta (*.f64 -1 alpha))
(*.f64 -1 alpha)
(+.f64 beta (*.f64 -1 alpha))
(+.f64 beta (*.f64 -1 alpha))
(+.f64 beta (*.f64 -1 alpha))
(*.f64 -1 alpha)
(+.f64 beta (*.f64 -1 alpha))
(+.f64 beta (*.f64 -1 alpha))
(+.f64 beta (*.f64 -1 alpha))
(*.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))))
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(*.f64 (/.f64 (+.f64 beta alpha) (-.f64 (*.f64 (*.f64 beta beta) (*.f64 beta beta)) (*.f64 (*.f64 alpha alpha) (*.f64 alpha alpha)))) (+.f64 (*.f64 alpha alpha) (*.f64 beta beta)))
(*.f64 (/.f64 (+.f64 beta alpha) (-.f64 (pow.f64 (*.f64 beta beta) 3) (pow.f64 (*.f64 alpha alpha) 3))) (+.f64 (*.f64 (*.f64 beta beta) (*.f64 beta beta)) (+.f64 (*.f64 (*.f64 alpha alpha) (*.f64 alpha alpha)) (*.f64 (*.f64 beta beta) (*.f64 alpha alpha)))))
(*.f64 (/.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))) (-.f64 (*.f64 (pow.f64 beta 3) (pow.f64 beta 3)) (*.f64 (pow.f64 alpha 3) (pow.f64 alpha 3)))) (+.f64 (pow.f64 alpha 3) (pow.f64 beta 3)))
(*.f64 (/.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))) (-.f64 (pow.f64 (pow.f64 beta 3) 3) (pow.f64 (pow.f64 alpha 3) 3))) (+.f64 (*.f64 (pow.f64 beta 3) (pow.f64 beta 3)) (+.f64 (*.f64 (pow.f64 alpha 3) (pow.f64 alpha 3)) (*.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))))
(*.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 beta alpha) -2)))) (/.f64 1 (cbrt.f64 (-.f64 beta alpha))))
(*.f64 (/.f64 1 (neg.f64 (*.f64 (+.f64 beta alpha) (-.f64 beta alpha)))) (neg.f64 (+.f64 beta alpha)))
(*.f64 (/.f64 1 (neg.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))) (neg.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha)))))
(*.f64 (/.f64 1 (-.f64 (*.f64 beta beta) (*.f64 (neg.f64 alpha) (neg.f64 alpha)))) (-.f64 beta (neg.f64 alpha)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 beta 3) (pow.f64 (neg.f64 alpha) 3))) (+.f64 (*.f64 beta beta) (-.f64 (*.f64 (neg.f64 alpha) (neg.f64 alpha)) (*.f64 beta (neg.f64 alpha)))))
(*.f64 (/.f64 (pow.f64 (-.f64 beta alpha) -1/2) 1) (pow.f64 (-.f64 beta alpha) -1/2))
(*.f64 (/.f64 (pow.f64 (-.f64 beta alpha) -1/2) (sqrt.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))) (sqrt.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha)))))
(*.f64 (/.f64 (pow.f64 (-.f64 beta alpha) -1/2) (sqrt.f64 (*.f64 (+.f64 beta alpha) (-.f64 beta alpha)))) (sqrt.f64 (+.f64 beta alpha)))
(*.f64 (/.f64 (pow.f64 (-.f64 beta alpha) -1/2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 -1 (-.f64 beta alpha))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 beta alpha) -2)) 1) (/.f64 1 (cbrt.f64 (-.f64 beta alpha))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 beta alpha) -2)) -1) (cbrt.f64 (/.f64 -1 (-.f64 beta alpha))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 beta alpha) -2)) (cbrt.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))) (cbrt.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 beta alpha) -2)) (cbrt.f64 (*.f64 (+.f64 beta alpha) (-.f64 beta alpha)))) (cbrt.f64 (+.f64 beta alpha)))
(*.f64 (/.f64 -1 (neg.f64 (*.f64 (+.f64 beta alpha) (-.f64 beta alpha)))) (+.f64 beta alpha))
(*.f64 (/.f64 -1 (neg.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))) (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2)) 1) (/.f64 1 (cbrt.f64 (-.f64 beta alpha))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2)) -1) (cbrt.f64 (/.f64 -1 (-.f64 beta alpha))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2)) (cbrt.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))) (cbrt.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha)))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2)) (cbrt.f64 (*.f64 (+.f64 beta alpha) (-.f64 beta alpha)))) (cbrt.f64 (+.f64 beta alpha)))
(pow.f64 (/.f64 1 (-.f64 beta alpha)) 1)
(pow.f64 (-.f64 beta alpha) -1)
(pow.f64 (pow.f64 (-.f64 beta alpha) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 beta alpha))) 3)
(pow.f64 (/.f64 1 (pow.f64 (-.f64 beta alpha) 3)) 1/3)
(sqrt.f64 (pow.f64 (-.f64 beta alpha) -2))
(log.f64 (exp.f64 (/.f64 1 (-.f64 beta alpha))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 beta alpha)))))
(cbrt.f64 (/.f64 1 (pow.f64 (-.f64 beta alpha) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 beta alpha))))
(exp.f64 (neg.f64 (log.f64 (-.f64 beta alpha))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 beta alpha))) 1))
(exp.f64 (*.f64 (log.f64 (-.f64 beta alpha)) -1))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 beta alpha))))
Outputs
(-.f64 1 (/.f64 alpha (+.f64 2 alpha)))
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) 1) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (/.f64 alpha (+.f64 alpha 2)))
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (*.f64 (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (*.f64 beta beta))) (/.f64 alpha (+.f64 alpha 2)))
(+.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (fma.f64 (*.f64 beta beta) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))))) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (fma.f64 (*.f64 beta beta) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)))))) (/.f64 alpha (+.f64 alpha 2)))
(+.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (-.f64 (fma.f64 (*.f64 beta beta) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3))))) (/.f64 alpha (+.f64 alpha 2))))
2
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2)
(fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(-.f64 (+.f64 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2) (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha))) (neg.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2) (-.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)) (/.f64 (neg.f64 (pow.f64 (+.f64 alpha 2) 2)) (*.f64 beta beta))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))))
(-.f64 (+.f64 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2) (+.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)) (neg.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) alpha))))) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2) (-.f64 (+.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)) (/.f64 (neg.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)))))
2
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(-.f64 (fma.f64 -1 (/.f64 alpha beta) 2) (+.f64 (/.f64 alpha beta) (/.f64 2 beta)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta))))
(-.f64 (fma.f64 -1 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (*.f64 beta beta) (+.f64 alpha 2))) (fma.f64 -1 (/.f64 alpha beta) 2)) (+.f64 (/.f64 alpha beta) (/.f64 2 beta)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 2 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta))))
(-.f64 (fma.f64 -1 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (*.f64 beta beta) (+.f64 alpha 2))) (+.f64 (fma.f64 -1 (/.f64 alpha beta) 2) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) (-.f64 (neg.f64 alpha) (+.f64 alpha 2)))))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta)))
(-.f64 (+.f64 (fma.f64 -1 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (*.f64 beta beta) (+.f64 alpha 2))) (fma.f64 -1 (/.f64 alpha beta) 2)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta)))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(+.f64 1 (/.f64 beta (+.f64 2 beta)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2))))
(+.f64 1 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (/.f64 beta (+.f64 2 beta))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2)))))
(+.f64 1 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3))) (*.f64 alpha alpha) (/.f64 beta (+.f64 2 beta)))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2))))))
(fma.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4)))) (+.f64 1 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3))) (*.f64 alpha alpha) (/.f64 beta (+.f64 2 beta))))))
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(-.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))) (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)))
(-.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 2 alpha))) (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))))
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))
(+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (-.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 2 alpha))) (+.f64 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (neg.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3))))))
(-.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 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3))) (+.f64 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (/.f64 (neg.f64 beta) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2)))))
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))))) (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))))
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 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 2 alpha))))) (+.f64 (+.f64 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (neg.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3)))) (/.f64 beta (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 2 beta) 3)))))
(+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (-.f64 (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4)) (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 2 alpha)))) (+.f64 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (+.f64 (/.f64 (neg.f64 beta) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2))) (/.f64 beta (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 2 beta) 3)))))))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha))
(neg.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))))
(fma.f64 -1 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (neg.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))))
(*.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))
(+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (fma.f64 -1 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (fma.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)) (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3)))))
(+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (fma.f64 -1 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (fma.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)) (/.f64 beta (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2))))))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 4) (*.f64 beta (pow.f64 (+.f64 beta 2) 3))) (pow.f64 alpha 4))) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))))
(+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (fma.f64 -1 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (fma.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)) (fma.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 4) (*.f64 beta (pow.f64 (+.f64 2 beta) 3))) (pow.f64 alpha 4)) (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3))))))
(+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (fma.f64 -1 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (fma.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)) (fma.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 4) (*.f64 beta (pow.f64 (+.f64 2 beta) 3))) (pow.f64 alpha 4)) (/.f64 beta (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2)))))))
(*.f64 -1 alpha)
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(+.f64 beta (*.f64 -1 alpha))
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beta
(+.f64 beta (*.f64 -1 alpha))
(-.f64 beta alpha)
(+.f64 beta (*.f64 -1 alpha))
(-.f64 beta alpha)
(+.f64 beta (*.f64 -1 alpha))
(-.f64 beta alpha)
beta
(+.f64 beta (*.f64 -1 alpha))
(-.f64 beta alpha)
(+.f64 beta (*.f64 -1 alpha))
(-.f64 beta alpha)
(+.f64 beta (*.f64 -1 alpha))
(-.f64 beta alpha)
beta
(+.f64 beta (*.f64 -1 alpha))
(-.f64 beta alpha)
(+.f64 beta (*.f64 -1 alpha))
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(-.f64 beta alpha)
(+.f64 beta (*.f64 -1 alpha))
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1
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1
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(/.f64 beta (+.f64 beta 2))
(/.f64 beta (+.f64 2 beta))
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-1
(-.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1))
(-.f64 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (+.f64 2 beta) alpha) 1))
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-1
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) 1)
(fma.f64 -1 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) -1)
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(/.f64 -1 alpha)
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(/.f64 1 beta)
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(/.f64 1 beta)
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(/.f64 1 beta)
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(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (cbrt.f64 (fma.f64 beta beta (neg.f64 (pow.f64 (+.f64 alpha 2) 2))))) (cbrt.f64 (-.f64 beta (+.f64 alpha 2))))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)
(+.f64 1 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)
(+.f64 1 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3)
(+.f64 1 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -1)
(/.f64 1 (/.f64 (+.f64 (+.f64 alpha beta) 2) (-.f64 beta alpha)))
(/.f64 1 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)))
(pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 1/3)
(+.f64 1 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(neg.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))
(*.f64 (neg.f64 (-.f64 beta alpha)) (/.f64 1 (-.f64 -2 (+.f64 alpha beta))))
(/.f64 (neg.f64 (-.f64 beta alpha)) (-.f64 -2 (+.f64 alpha beta)))
(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 beta) 2)) 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 1 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))))
(/.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 1 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))
(+.f64 1 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(+.f64 1 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(exp.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(+.f64 1 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))))
(/.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 1 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(+.f64 1 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 beta alpha)))) 1)
(/.f64 1 (-.f64 beta alpha))
(*.f64 1 (/.f64 1 (-.f64 beta alpha)))
(/.f64 1 (-.f64 beta alpha))
(*.f64 1 (neg.f64 (/.f64 -1 (-.f64 beta alpha))))
(/.f64 1 (-.f64 beta alpha))
(*.f64 (/.f64 1 (-.f64 beta alpha)) 1)
(/.f64 1 (-.f64 beta alpha))
(*.f64 (pow.f64 (-.f64 beta alpha) -1/2) (pow.f64 (-.f64 beta alpha) -1/2))
(/.f64 1 (-.f64 beta alpha))
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 beta alpha))) (cbrt.f64 (pow.f64 (-.f64 beta alpha) -2)))
(/.f64 (cbrt.f64 (pow.f64 (-.f64 beta alpha) -2)) (cbrt.f64 (-.f64 beta alpha)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 beta alpha) -2)) (/.f64 1 (cbrt.f64 (-.f64 beta alpha))))
(/.f64 (cbrt.f64 (pow.f64 (-.f64 beta alpha) -2)) (cbrt.f64 (-.f64 beta alpha)))
(*.f64 -1 (/.f64 -1 (-.f64 beta alpha)))
(/.f64 1 (-.f64 beta alpha))
(*.f64 (/.f64 -1 (-.f64 beta alpha)) -1)
(/.f64 1 (-.f64 beta alpha))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2)) (/.f64 1 (cbrt.f64 (-.f64 beta alpha))))
(/.f64 1 (-.f64 beta alpha))
(*.f64 (/.f64 1 (*.f64 (+.f64 beta alpha) (-.f64 beta alpha))) (+.f64 beta alpha))
(*.f64 (+.f64 alpha beta) (/.f64 (/.f64 1 (+.f64 alpha beta)) (-.f64 beta alpha)))
(/.f64 (*.f64 (+.f64 alpha beta) (/.f64 1 (+.f64 alpha beta))) (-.f64 beta alpha))
(*.f64 (/.f64 1 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))))
(*.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 alpha beta))) (/.f64 1 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3))))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 beta alpha)) -1) (pow.f64 (sqrt.f64 (-.f64 beta alpha)) -1))
(pow.f64 (sqrt.f64 (-.f64 beta alpha)) -2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) -1) (pow.f64 (cbrt.f64 (-.f64 beta alpha)) -1))
(/.f64 1 (-.f64 beta alpha))
(*.f64 (/.f64 (+.f64 beta alpha) (-.f64 (*.f64 (*.f64 beta beta) (*.f64 beta beta)) (*.f64 (*.f64 alpha alpha) (*.f64 alpha alpha)))) (+.f64 (*.f64 alpha alpha) (*.f64 beta beta)))
(*.f64 (/.f64 (+.f64 alpha beta) (-.f64 (pow.f64 beta 4) (pow.f64 alpha 4))) (fma.f64 alpha alpha (*.f64 beta beta)))
(*.f64 (/.f64 (+.f64 beta alpha) (-.f64 (pow.f64 (*.f64 beta beta) 3) (pow.f64 (*.f64 alpha alpha) 3))) (+.f64 (*.f64 (*.f64 beta beta) (*.f64 beta beta)) (+.f64 (*.f64 (*.f64 alpha alpha) (*.f64 alpha alpha)) (*.f64 (*.f64 beta beta) (*.f64 alpha alpha)))))
(*.f64 (/.f64 (+.f64 alpha beta) (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6))) (+.f64 (pow.f64 beta 4) (*.f64 (*.f64 alpha alpha) (fma.f64 alpha alpha (*.f64 beta beta)))))
(*.f64 (/.f64 (+.f64 alpha beta) (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6))) (+.f64 (pow.f64 beta 4) (*.f64 alpha (*.f64 alpha (fma.f64 alpha alpha (*.f64 beta beta))))))
(*.f64 (/.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))) (-.f64 (*.f64 (pow.f64 beta 3) (pow.f64 beta 3)) (*.f64 (pow.f64 alpha 3) (pow.f64 alpha 3)))) (+.f64 (pow.f64 alpha 3) (pow.f64 beta 3)))
(*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (/.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 alpha beta))) (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6))))
(/.f64 (*.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 alpha beta))) (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (-.f64 (pow.f64 beta 6) (pow.f64 alpha 6)))
(*.f64 (/.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))) (-.f64 (pow.f64 (pow.f64 beta 3) 3) (pow.f64 (pow.f64 alpha 3) 3))) (+.f64 (*.f64 (pow.f64 beta 3) (pow.f64 beta 3)) (+.f64 (*.f64 (pow.f64 alpha 3) (pow.f64 alpha 3)) (*.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))))
(*.f64 (/.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 alpha beta))) (-.f64 (pow.f64 (pow.f64 beta 3) 3) (pow.f64 (pow.f64 alpha 3) 3))) (+.f64 (pow.f64 beta 6) (+.f64 (pow.f64 alpha 6) (*.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))))
(*.f64 (/.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 alpha beta))) (-.f64 (pow.f64 (pow.f64 beta 3) 3) (pow.f64 (pow.f64 alpha 3) 3))) (+.f64 (pow.f64 alpha 6) (+.f64 (*.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (pow.f64 beta 6))))
(*.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 beta alpha) -2)))) (/.f64 1 (cbrt.f64 (-.f64 beta alpha))))
(/.f64 (cbrt.f64 (pow.f64 (-.f64 beta alpha) -2)) (cbrt.f64 (-.f64 beta alpha)))
(*.f64 (/.f64 1 (neg.f64 (*.f64 (+.f64 beta alpha) (-.f64 beta alpha)))) (neg.f64 (+.f64 beta alpha)))
(*.f64 (+.f64 alpha beta) (/.f64 (/.f64 1 (+.f64 alpha beta)) (-.f64 beta alpha)))
(/.f64 (*.f64 (+.f64 alpha beta) (/.f64 1 (+.f64 alpha beta))) (-.f64 beta alpha))
(*.f64 (/.f64 1 (neg.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))) (neg.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha)))))
(*.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 alpha beta))) (/.f64 1 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3))))
(*.f64 (/.f64 1 (-.f64 (*.f64 beta beta) (*.f64 (neg.f64 alpha) (neg.f64 alpha)))) (-.f64 beta (neg.f64 alpha)))
(*.f64 (/.f64 1 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (-.f64 beta (neg.f64 alpha)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 beta 3) (pow.f64 (neg.f64 alpha) 3))) (+.f64 (*.f64 beta beta) (-.f64 (*.f64 (neg.f64 alpha) (neg.f64 alpha)) (*.f64 beta (neg.f64 alpha)))))
(*.f64 (/.f64 1 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (fma.f64 beta beta (*.f64 (neg.f64 alpha) (-.f64 (neg.f64 alpha) beta))))
(*.f64 (/.f64 1 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (fma.f64 beta beta (*.f64 (neg.f64 alpha) (neg.f64 (+.f64 alpha beta)))))
(*.f64 (/.f64 (pow.f64 (-.f64 beta alpha) -1/2) 1) (pow.f64 (-.f64 beta alpha) -1/2))
(/.f64 1 (-.f64 beta alpha))
(*.f64 (/.f64 (pow.f64 (-.f64 beta alpha) -1/2) (sqrt.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))) (sqrt.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha)))))
(*.f64 (/.f64 (pow.f64 (-.f64 beta alpha) -1/2) (sqrt.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))) (sqrt.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 alpha beta)))))
(*.f64 (/.f64 (pow.f64 (-.f64 beta alpha) -1/2) (sqrt.f64 (*.f64 (+.f64 beta alpha) (-.f64 beta alpha)))) (sqrt.f64 (+.f64 beta alpha)))
(*.f64 (/.f64 (pow.f64 (-.f64 beta alpha) -1/2) (sqrt.f64 (*.f64 (-.f64 beta alpha) (+.f64 alpha beta)))) (sqrt.f64 (+.f64 alpha beta)))
(*.f64 (/.f64 (pow.f64 (-.f64 beta alpha) -1/2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 -1 (-.f64 beta alpha))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 beta alpha) -2)) 1) (/.f64 1 (cbrt.f64 (-.f64 beta alpha))))
(/.f64 (cbrt.f64 (pow.f64 (-.f64 beta alpha) -2)) (cbrt.f64 (-.f64 beta alpha)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 beta alpha) -2)) -1) (cbrt.f64 (/.f64 -1 (-.f64 beta alpha))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 beta alpha) -2)) (cbrt.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))) (cbrt.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 beta alpha) -2)) (cbrt.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))) (cbrt.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 alpha beta)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 beta alpha) -2)) (cbrt.f64 (*.f64 (+.f64 beta alpha) (-.f64 beta alpha)))) (cbrt.f64 (+.f64 beta alpha)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 beta alpha) -2)) (cbrt.f64 (*.f64 (-.f64 beta alpha) (+.f64 alpha beta)))) (cbrt.f64 (+.f64 alpha beta)))
(*.f64 (/.f64 -1 (neg.f64 (*.f64 (+.f64 beta alpha) (-.f64 beta alpha)))) (+.f64 beta alpha))
(*.f64 (+.f64 alpha beta) (/.f64 (/.f64 1 (+.f64 alpha beta)) (-.f64 beta alpha)))
(/.f64 (*.f64 (+.f64 alpha beta) (/.f64 1 (+.f64 alpha beta))) (-.f64 beta alpha))
(*.f64 (/.f64 -1 (neg.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))) (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))))
(*.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 alpha beta))) (/.f64 1 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2)) 1) (/.f64 1 (cbrt.f64 (-.f64 beta alpha))))
(/.f64 1 (-.f64 beta alpha))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2)) -1) (cbrt.f64 (/.f64 -1 (-.f64 beta alpha))))
(*.f64 (cbrt.f64 (/.f64 -1 (-.f64 beta alpha))) (/.f64 1 (*.f64 -1 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2))))
(*.f64 (cbrt.f64 (/.f64 -1 (-.f64 beta alpha))) (/.f64 -1 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2)))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2)) (cbrt.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))) (cbrt.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha)))))
(*.f64 (cbrt.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 alpha beta)))) (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2)) (cbrt.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))))
(/.f64 (*.f64 (cbrt.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 alpha beta)))) 1) (*.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (cbrt.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2)) (cbrt.f64 (*.f64 (+.f64 beta alpha) (-.f64 beta alpha)))) (cbrt.f64 (+.f64 beta alpha)))
(*.f64 (cbrt.f64 (+.f64 alpha beta)) (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2)) (cbrt.f64 (*.f64 (-.f64 beta alpha) (+.f64 alpha beta)))))
(pow.f64 (/.f64 1 (-.f64 beta alpha)) 1)
(/.f64 1 (-.f64 beta alpha))
(pow.f64 (-.f64 beta alpha) -1)
(/.f64 1 (-.f64 beta alpha))
(pow.f64 (pow.f64 (-.f64 beta alpha) -1/2) 2)
(/.f64 1 (-.f64 beta alpha))
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 beta alpha))) 3)
(/.f64 1 (-.f64 beta alpha))
(pow.f64 (/.f64 1 (pow.f64 (-.f64 beta alpha) 3)) 1/3)
(cbrt.f64 (/.f64 1 (pow.f64 (-.f64 beta alpha) 3)))
(sqrt.f64 (pow.f64 (-.f64 beta alpha) -2))
(log.f64 (exp.f64 (/.f64 1 (-.f64 beta alpha))))
(/.f64 1 (-.f64 beta alpha))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 beta alpha)))))
(/.f64 1 (-.f64 beta alpha))
(cbrt.f64 (/.f64 1 (pow.f64 (-.f64 beta alpha) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 beta alpha))))
(/.f64 1 (-.f64 beta alpha))
(exp.f64 (neg.f64 (log.f64 (-.f64 beta alpha))))
(/.f64 1 (-.f64 beta alpha))
(exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 beta alpha))) 1))
(/.f64 1 (-.f64 beta alpha))
(exp.f64 (*.f64 (log.f64 (-.f64 beta alpha)) -1))
(/.f64 1 (-.f64 beta alpha))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 beta alpha))))
(/.f64 1 (-.f64 beta alpha))

localize526.0ms (2.7%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)
0.1b
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3)
1.3b
(-.f64 -1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (*.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2))))
1.4b
(-.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))
Compiler

Compiled 490 to 338 computations (31% saved)

series16.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

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

rewrite199.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
704×associate-+l+
542×+-commutative
428×add-sqr-sqrt
416×*-un-lft-identity
412×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017184
1417160
26074160
Stop Event
node limit
Counts
4 → 289
Calls
Call 1
Inputs
(-.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))
(-.f64 -1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (*.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2))))
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3)
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (/.f64 (neg.f64 alpha) (+.f64 alpha (+.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (*.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha (+.f64 2 beta))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (+.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha (+.f64 2 beta))) (fma.f64 (neg.f64 (/.f64 -1 (-.f64 -2 (+.f64 alpha beta)))) alpha (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (+.f64 (*.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha (+.f64 2 beta))) 1) (fma.f64 (neg.f64 (/.f64 -1 (-.f64 -2 (+.f64 alpha beta)))) alpha (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (+.f64 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beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 alpha) (neg.f64 alpha)) (*.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -2 (+.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) alpha) (+.f64 alpha (+.f64 2 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (neg.f64 alpha)) (-.f64 -2 (+.f64 alpha beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 alpha (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (+.f64 alpha (+.f64 2 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 alpha) (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (-.f64 -2 (+.f64 alpha beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 alpha (neg.f64 alpha)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 -2 (+.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 alpha) alpha) (*.f64 (-.f64 -2 (+.f64 alpha beta)) (+.f64 alpha (+.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 alpha) 1) (*.f64 (-.f64 -2 (+.f64 alpha beta)) (/.f64 (+.f64 alpha (+.f64 2 beta)) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)))))))

simplify428.0ms (2.2%)

Algorithm
egg-herbie
Rules
1872×associate-+r+
1240×associate-*r*
1044×associate-*l*
916×*-commutative
882×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0113049795
1365548833
Stop Event
node limit
Counts
385 → 617
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 alpha (+.f64 beta 2)))
(+.f64 (*.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (*.f64 -1 (/.f64 alpha (+.f64 beta 2))))
(+.f64 (*.f64 -3 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (+.f64 (*.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (*.f64 -1 (/.f64 alpha (+.f64 beta 2)))))
(+.f64 (*.f64 4 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4))) (+.f64 (*.f64 -3 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (+.f64 (*.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (*.f64 -1 (/.f64 alpha (+.f64 beta 2))))))
(/.f64 (+.f64 beta (+.f64 2 (*.f64 -2 (+.f64 beta 2)))) alpha)
(+.f64 (*.f64 -2 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (+.f64 (*.f64 -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 -4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (*.f64 -2 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (+.f64 (*.f64 -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 -4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (+.f64 (*.f64 -2 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))))))))))
(*.f64 -1 (/.f64 (-.f64 (+.f64 2 (*.f64 2 beta)) beta) alpha))
(+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (-.f64 (+.f64 2 (*.f64 2 beta)) beta) alpha)))
(+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 4 (pow.f64 (+.f64 beta 2) 3)) (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 3))) (*.f64 -1 (/.f64 (-.f64 (+.f64 2 (*.f64 2 beta)) beta) alpha))))
(+.f64 (*.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 4 (pow.f64 (+.f64 beta 2) 3)) (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 3))) (*.f64 -1 (/.f64 (-.f64 (+.f64 2 (*.f64 2 beta)) beta) alpha)))))
(-.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 beta (+.f64 (*.f64 -2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 3))) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (*.f64 beta (+.f64 (*.f64 -2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 3))) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (*.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4))))))) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -4 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 5))) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))) (pow.f64 beta 3)) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (*.f64 beta (+.f64 (*.f64 -2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 3))) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (*.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)))))))) (/.f64 alpha (+.f64 2 alpha)))
(*.f64 -1 (/.f64 alpha beta))
(+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))))
(+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 3))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)))))))
(+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (pow.f64 beta 4))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (pow.f64 beta 4)) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 3) alpha) (pow.f64 beta 4)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 3))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3))))))))))
(*.f64 -1 (/.f64 alpha beta))
(+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))))
(+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (*.f64 2 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)))) (pow.f64 beta 3))))))
(+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (pow.f64 beta 4))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (pow.f64 beta 4)) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 3) alpha) (pow.f64 beta 4)) (*.f64 -1 (/.f64 (+.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (*.f64 2 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)))) (pow.f64 beta 3)))))))))
-1
(-.f64 (*.f64 -1 (/.f64 alpha (+.f64 beta 2))) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha (+.f64 beta 2))) (*.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2)))) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (*.f64 -1 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (+.f64 (*.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 4))) (*.f64 4 (/.f64 1 (pow.f64 (+.f64 beta 2) 4))))))))))) 1)
(/.f64 (-.f64 (+.f64 beta 2) (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 2 (+.f64 4 (*.f64 2 beta)))))) alpha)
(-.f64 (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (*.f64 (-.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 2 (+.f64 4 (*.f64 2 beta)))) (+.f64 4 (*.f64 2 beta))))) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 2 (+.f64 4 (*.f64 2 beta)))) alpha))))
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 3)) (+.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 2 (+.f64 4 (*.f64 2 beta)))) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (+.f64 4 (*.f64 2 beta)) (-.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (*.f64 (-.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 2 (+.f64 4 (*.f64 2 beta)))) (+.f64 4 (*.f64 2 beta)))))))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (*.f64 (-.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 2 (+.f64 4 (*.f64 2 beta)))) (+.f64 4 (*.f64 2 beta))))) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 2 (+.f64 4 (*.f64 2 beta)))) alpha)))))
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 3)) (+.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 2 (+.f64 4 (*.f64 2 beta)))) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (+.f64 4 (*.f64 2 beta)) (-.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (*.f64 (-.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 2 (+.f64 4 (*.f64 2 beta)))) (+.f64 4 (*.f64 2 beta)))))))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (*.f64 (-.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 2 (+.f64 4 (*.f64 2 beta)))) (+.f64 4 (*.f64 2 beta))))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (pow.f64 (+.f64 beta 2) 4) (+.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (*.f64 (-.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 2 (+.f64 4 (*.f64 2 beta)))) (+.f64 4 (*.f64 2 beta)))))) (*.f64 (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 3)) (+.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 2 (+.f64 4 (*.f64 2 beta)))) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (+.f64 4 (*.f64 2 beta)) (-.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (*.f64 (-.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 2 (+.f64 4 (*.f64 2 beta)))) (+.f64 4 (*.f64 2 beta)))))))) (+.f64 4 (*.f64 2 beta))))) (pow.f64 alpha 4))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 2 (+.f64 4 (*.f64 2 beta)))) alpha))))))
(*.f64 -1 (/.f64 (-.f64 (*.f64 2 (+.f64 beta 2)) (*.f64 -2 (+.f64 beta 2))) alpha))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (*.f64 (+.f64 beta (+.f64 2 (*.f64 2 (+.f64 beta 2)))) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 2))) (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 (+.f64 beta 2)) (*.f64 -2 (+.f64 beta 2))) alpha)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))))) (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (*.f64 (+.f64 beta (+.f64 2 (*.f64 2 (+.f64 beta 2)))) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 2))) (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 (+.f64 beta 2)) (*.f64 -2 (+.f64 beta 2))) alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 (+.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 (+.f64 (*.f64 (+.f64 beta (+.f64 2 (*.f64 2 (+.f64 beta 2)))) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 2))) (+.f64 (*.f64 -2 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)))) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 2)))) (+.f64 (*.f64 2 (*.f64 (+.f64 beta 2) (+.f64 (*.f64 -4 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 2 (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 3))))))) (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))))
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(/.f64 (-.f64 (pow.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 2) (*.f64 (pow.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 2) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 4))) (+.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (*.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2))) 1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (*.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2))) 1) (+.f64 (*.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2))) 1)) (*.f64 -1 (+.f64 (*.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2))) 1)))))
(/.f64 (-.f64 (pow.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 3) (*.f64 (pow.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6))) (+.f64 (pow.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 2) (+.f64 (*.f64 (pow.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 2) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 4)) (*.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (fma.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 2))) (neg.f64 (+.f64 -1 (fma.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))))
(/.f64 (neg.f64 (-.f64 -1 (pow.f64 (fma.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 3))) (neg.f64 (+.f64 (+.f64 1 (+.f64 (*.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2))) 1)) (pow.f64 (fma.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 2))))
(pow.f64 (*.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2))) 1)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)))) 3)
(pow.f64 (pow.f64 (*.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2))) 2))
(log.f64 (exp.f64 (*.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2))))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2))) 3))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)))))
(exp.f64 (log.f64 (*.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)))))
(fma.f64 1 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (neg.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))))
(fma.f64 (sqrt.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) (sqrt.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) (neg.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) 2) (cbrt.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) (neg.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3))) 1)
(*.f64 alpha (*.f64 (/.f64 -1 (-.f64 -2 (+.f64 alpha beta))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)))
(*.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2))
(*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))
(*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3) 1)
(*.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3))
(*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3/2) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3/2))
(*.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (*.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 2) (*.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 4)) (*.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 2) (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))
(*.f64 (pow.f64 alpha 3) (/.f64 1 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 3)))
(*.f64 (pow.f64 alpha 3) (pow.f64 (/.f64 -1 (-.f64 -2 (+.f64 alpha beta))) 3))
(*.f64 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 4))) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 2))
(*.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) alpha) (/.f64 -1 (-.f64 -2 (+.f64 alpha beta))))
(*.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))
(*.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 2)) (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 3) (pow.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 3))
(/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (/.f64 (+.f64 alpha (+.f64 2 beta)) alpha))
(/.f64 1 (/.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 3) (pow.f64 alpha 3)))
(/.f64 1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) alpha) 3))
(/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 3))
(/.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) alpha) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (neg.f64 alpha)) (-.f64 -2 (+.f64 alpha beta)))
(/.f64 (*.f64 alpha (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (*.f64 (neg.f64 alpha) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)) (-.f64 -2 (+.f64 alpha beta)))
(/.f64 (neg.f64 (pow.f64 alpha 3)) (neg.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 3)))
(/.f64 (pow.f64 (neg.f64 alpha) 3) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 3))
(sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6))
(log.f64 (exp.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3)))
(exp.f64 (*.f64 3 (log.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2))) 1)
(*.f64 alpha (*.f64 (/.f64 -1 (-.f64 -2 (+.f64 alpha beta))) (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))
(*.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))
(*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) 1)
(*.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2))
(*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3/2) (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))
(*.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3/2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 2) (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 4)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 2) (*.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 4)) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 2))
(*.f64 (*.f64 alpha alpha) (*.f64 (/.f64 -1 (-.f64 -2 (+.f64 alpha beta))) (/.f64 -1 (-.f64 -2 (+.f64 alpha beta)))))
(*.f64 (*.f64 alpha alpha) (pow.f64 (/.f64 -1 (-.f64 -2 (+.f64 alpha beta))) 2))
(*.f64 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) alpha) (/.f64 -1 (-.f64 -2 (+.f64 alpha beta))))
(*.f64 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 2)) (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))
(/.f64 alpha (*.f64 (+.f64 alpha (+.f64 2 beta)) (/.f64 (+.f64 alpha (+.f64 2 beta)) alpha)))
(/.f64 alpha (*.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) alpha) (+.f64 alpha (+.f64 2 beta))))
(/.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 alpha (+.f64 2 beta)) alpha))
(/.f64 1 (*.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) alpha) (/.f64 (+.f64 alpha (+.f64 2 beta)) alpha)))
(/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2))
(/.f64 (neg.f64 alpha) (*.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) alpha) (-.f64 -2 (+.f64 alpha beta))))
(/.f64 (*.f64 (neg.f64 alpha) (neg.f64 alpha)) (*.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -2 (+.f64 alpha beta))))
(/.f64 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) alpha) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (neg.f64 alpha)) (-.f64 -2 (+.f64 alpha beta)))
(/.f64 (*.f64 alpha (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (*.f64 (neg.f64 alpha) (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (-.f64 -2 (+.f64 alpha beta)))
(/.f64 (*.f64 alpha (neg.f64 alpha)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 -2 (+.f64 alpha beta))))
(/.f64 (*.f64 (neg.f64 alpha) alpha) (*.f64 (-.f64 -2 (+.f64 alpha beta)) (+.f64 alpha (+.f64 2 beta))))
(/.f64 (*.f64 (neg.f64 alpha) 1) (*.f64 (-.f64 -2 (+.f64 alpha beta)) (/.f64 (+.f64 alpha (+.f64 2 beta)) alpha)))
(sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 4))
(log.f64 (exp.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2))))
(cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)))
(exp.f64 (*.f64 2 (log.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)))
Outputs
(*.f64 -1 (/.f64 alpha (+.f64 beta 2)))
(/.f64 (neg.f64 alpha) (+.f64 beta 2))
(+.f64 (*.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (*.f64 -1 (/.f64 alpha (+.f64 beta 2))))
(fma.f64 2 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (neg.f64 alpha) (+.f64 beta 2)))
(+.f64 (*.f64 -3 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (+.f64 (*.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (*.f64 -1 (/.f64 alpha (+.f64 beta 2)))))
(fma.f64 -3 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (fma.f64 2 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (neg.f64 alpha) (+.f64 beta 2))))
(+.f64 (*.f64 4 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4))) (+.f64 (*.f64 -3 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (+.f64 (*.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (*.f64 -1 (/.f64 alpha (+.f64 beta 2))))))
(fma.f64 4 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4)) (fma.f64 -3 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (fma.f64 2 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (neg.f64 alpha) (+.f64 beta 2)))))
(/.f64 (+.f64 beta (+.f64 2 (*.f64 -2 (+.f64 beta 2)))) alpha)
(/.f64 (+.f64 beta (+.f64 2 (*.f64 (+.f64 beta 2) -2))) alpha)
(/.f64 (+.f64 (+.f64 beta 2) (+.f64 (*.f64 beta -2) -4)) alpha)
(+.f64 (*.f64 -2 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))))))
(fma.f64 -2 (/.f64 (+.f64 beta 2) alpha) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 3 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 2 alpha)))))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (*.f64 -2 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (+.f64 (*.f64 -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)) (fma.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (fma.f64 -2 (/.f64 (+.f64 beta 2) alpha) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 3 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 2 alpha)))))))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (+.f64 (*.f64 -2 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 2 (/.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)) (fma.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (/.f64 beta alpha) (fma.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (fma.f64 -2 (/.f64 (+.f64 beta 2) alpha) (fma.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 2 alpha)))))))))))
(*.f64 -1 (/.f64 (-.f64 (+.f64 2 (*.f64 2 beta)) beta) alpha))
(neg.f64 (/.f64 (-.f64 (+.f64 2 (*.f64 beta 2)) beta) alpha))
(neg.f64 (/.f64 (+.f64 (*.f64 beta 2) (-.f64 2 beta)) alpha))
(+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (-.f64 (+.f64 2 (*.f64 2 beta)) beta) alpha)))
(fma.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (neg.f64 (/.f64 (-.f64 (+.f64 2 (*.f64 beta 2)) beta) alpha)))
(fma.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (neg.f64 (/.f64 (+.f64 (*.f64 beta 2) (-.f64 2 beta)) alpha)))
(+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 4 (pow.f64 (+.f64 beta 2) 3)) (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 3))) (*.f64 -1 (/.f64 (-.f64 (+.f64 2 (*.f64 2 beta)) beta) alpha))))
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1
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1
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(/.f64 1 (/.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) alpha) alpha))
(/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2))
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)
(/.f64 (neg.f64 alpha) (*.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) alpha) (-.f64 -2 (+.f64 alpha beta))))
(*.f64 alpha (/.f64 (*.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (-.f64 -2 (+.f64 alpha beta))))
(*.f64 alpha (/.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha (+.f64 beta 2))) (-.f64 -2 (+.f64 alpha beta))))
(/.f64 (*.f64 (neg.f64 alpha) (neg.f64 alpha)) (*.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -2 (+.f64 alpha beta))))
(*.f64 alpha (*.f64 alpha (pow.f64 (/.f64 -1 (-.f64 -2 (+.f64 alpha beta))) 2)))
(/.f64 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) alpha) (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)
(/.f64 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (neg.f64 alpha)) (-.f64 -2 (+.f64 alpha beta)))
(*.f64 alpha (/.f64 (*.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (-.f64 -2 (+.f64 alpha beta))))
(*.f64 alpha (/.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha (+.f64 beta 2))) (-.f64 -2 (+.f64 alpha beta))))
(/.f64 (*.f64 alpha (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)
(/.f64 (*.f64 (neg.f64 alpha) (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (-.f64 -2 (+.f64 alpha beta)))
(*.f64 alpha (/.f64 (*.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (-.f64 -2 (+.f64 alpha beta))))
(*.f64 alpha (/.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha (+.f64 beta 2))) (-.f64 -2 (+.f64 alpha beta))))
(/.f64 (*.f64 alpha (neg.f64 alpha)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 -2 (+.f64 alpha beta))))
(*.f64 alpha (/.f64 (*.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (-.f64 -2 (+.f64 alpha beta))))
(*.f64 alpha (/.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha (+.f64 beta 2))) (-.f64 -2 (+.f64 alpha beta))))
(/.f64 (*.f64 (neg.f64 alpha) alpha) (*.f64 (-.f64 -2 (+.f64 alpha beta)) (+.f64 alpha (+.f64 2 beta))))
(*.f64 alpha (/.f64 (*.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (-.f64 -2 (+.f64 alpha beta))))
(*.f64 alpha (/.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha (+.f64 beta 2))) (-.f64 -2 (+.f64 alpha beta))))
(/.f64 (*.f64 (neg.f64 alpha) 1) (*.f64 (-.f64 -2 (+.f64 alpha beta)) (/.f64 (+.f64 alpha (+.f64 2 beta)) alpha)))
(*.f64 alpha (/.f64 (*.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (-.f64 -2 (+.f64 alpha beta))))
(*.f64 alpha (/.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha (+.f64 beta 2))) (-.f64 -2 (+.f64 alpha beta))))
(sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 4))
(sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4))
(log.f64 (exp.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)))
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2))))
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)
(cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 6))
(cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)))
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)
(exp.f64 (*.f64 2 (log.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))))
(pow.f64 (exp.f64 2) (log.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) 1))
(pow.f64 (exp.f64 2) (log.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)))
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)

eval2.5s (12.6%)

Compiler

Compiled 123573 to 86680 computations (29.9% saved)

prune2.0s (10%)

Pruning

33 alts after pruning (24 fresh and 9 done)

PrunedKeptTotal
New182361829
Fresh11819
Picked101
Done2911
Total1827331860
Error
0.1b
Counts
1860 → 33
Alt Table
Click to see full alt table
StatusErrorProgram
18.0b
(/.f64 (/.f64 (pow.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) 3) 1/3) (+.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)
17.7b
(/.f64 (/.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (-.f64 1 (*.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) beta)))) (*.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (/.f64 (+.f64 alpha (+.f64 beta 2)) beta))) 2)
47.4b
(/.f64 (/.f64 (+.f64 beta 2) alpha) 2)
43.4b
(/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2)
18.1b
(/.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) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 3))) 2)
18.0b
(/.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3)) (+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) (-.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)))) 2)
60.7b
(/.f64 (/.f64 beta alpha) 2)
17.3b
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (/.f64 (+.f64 1 (pow.f64 (neg.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 4) (neg.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2))))) (-.f64 -1 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))))) 2)
17.3b
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 1 (/.f64 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) alpha) (+.f64 alpha (+.f64 2 beta)))) (-.f64 -1 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))))) 2)
17.3b
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
48.2b
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))) (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))))) 2)
17.3b
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (/.f64 (-.f64 -1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (*.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)))) (*.f64 (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3)) (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))) (+.f64 1 (-.f64 (/.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 alpha (+.f64 2 beta)) alpha)) (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))))) 2)
17.3b
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (/.f64 (-.f64 -1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (*.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)))) (*.f64 (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3)) (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))) (+.f64 1 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))) 2)
48.9b
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
48.9b
(/.f64 (-.f64 (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3))) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4)))) 2)
18.1b
(/.f64 (-.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) 2)
17.3b
(/.f64 (-.f64 (*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) beta) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
45.0b
(/.f64 (-.f64 2 (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta)) 2)
44.8b
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
34.6b
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
36.2b
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
19.8b
(/.f64 (+.f64 (/.f64 (/.f64 1 (/.f64 1 beta)) (+.f64 beta (+.f64 alpha 2))) 1) 2)
18.0b
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
43.4b
(/.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2)
19.8b
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
48.6b
(/.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) 2)
37.0b
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
56.9b
(/.f64 (*.f64 (/.f64 2 alpha) beta) 2)
43.4b
(/.f64 (*.f64 (/.f64 1 (/.f64 alpha (+.f64 beta 1))) 2) 2)
56.9b
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
40.5b
(/.f64 2 2)
47.8b
(/.f64 1 alpha)
34.7b
(/.f64 1 2)
Compiler

Compiled 812 to 597 computations (26.5% saved)

regimes190.0ms (1%)

Counts
50 → 2
Calls
Call 1
Inputs
(/.f64 1 2)
(/.f64 1 alpha)
(/.f64 2 2)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (/.f64 beta alpha) 2)
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
(/.f64 (*.f64 (/.f64 2 alpha) beta) 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 2) alpha) 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 1 (/.f64 alpha (+.f64 beta 1))) 2) 2)
(/.f64 (-.f64 2 (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta)) 2)
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) -1) 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 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2)
(/.f64 (+.f64 (/.f64 (/.f64 1 (/.f64 1 beta)) (+.f64 beta (+.f64 alpha 2))) 1) 2)
(/.f64 (-.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 (+.f64 beta 2) alpha))) 2)
(/.f64 (+.f64 (/.f64 (/.f64 1 (/.f64 1 (-.f64 beta alpha))) (+.f64 beta (+.f64 alpha 2))) 1) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
(/.f64 (-.f64 (*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) beta) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
(/.f64 (+.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))) (/.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (-.f64 beta alpha))) 1) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 1 (/.f64 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) alpha) (+.f64 alpha (+.f64 2 beta)))) (-.f64 -1 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))))) 2)
(/.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha 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 (/.f64 beta (-.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))) (-.f64 (+.f64 alpha 2) beta)) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2)) (-.f64 -1 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))))) 2)
(/.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3)) (+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) (-.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)))) 2)
(/.f64 (/.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (-.f64 1 (*.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) beta)))) (*.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (/.f64 (+.f64 alpha (+.f64 beta 2)) beta))) 2)
(/.f64 (log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 2)
(/.f64 (-.f64 (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3))) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4)))) 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 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (/.f64 (-.f64 -1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (*.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)))) (*.f64 (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3)) (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))) (+.f64 1 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (/.f64 (-.f64 -1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (*.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)))) (*.f64 (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3)) (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))) (+.f64 1 (-.f64 (/.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 alpha (+.f64 2 beta)) alpha)) (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))))) 2)
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 3) 1/3) (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2)) (-.f64 -1 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))))) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (/.f64 (-.f64 -1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (*.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)))) (*.f64 (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3)) (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))) (+.f64 1 (-.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (/.f64 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) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 3))) 2)
(/.f64 (/.f64 (pow.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) 3) 1/3) (+.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 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (/.f64 (+.f64 1 (pow.f64 (neg.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 4) (neg.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2))))) (-.f64 -1 (/.f64 alpha (+.f64 2 (+.f64 alpha 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 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))) (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))))) 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)
Outputs
(/.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2)
(/.f64 (log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 2)
Calls

5 calls:

66.0ms
beta
59.0ms
alpha
22.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
9.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
8.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
Results
ErrorSegmentsBranch
5.2b2alpha
15.9b3beta
0.2b2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
0.2b2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
0.2b2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
Compiler

Compiled 1276 to 885 computations (30.6% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999999967132419
-0.999968625840385
Compiler

Compiled 20 to 15 computations (25% saved)

regimes143.0ms (0.7%)

Counts
37 → 2
Calls
Call 1
Inputs
(/.f64 1 2)
(/.f64 1 alpha)
(/.f64 2 2)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (/.f64 beta alpha) 2)
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
(/.f64 (*.f64 (/.f64 2 alpha) beta) 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 2) alpha) 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 1 (/.f64 alpha (+.f64 beta 1))) 2) 2)
(/.f64 (-.f64 2 (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta)) 2)
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) -1) 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 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2)
(/.f64 (+.f64 (/.f64 (/.f64 1 (/.f64 1 beta)) (+.f64 beta (+.f64 alpha 2))) 1) 2)
(/.f64 (-.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 (+.f64 beta 2) alpha))) 2)
(/.f64 (+.f64 (/.f64 (/.f64 1 (/.f64 1 (-.f64 beta alpha))) (+.f64 beta (+.f64 alpha 2))) 1) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
(/.f64 (-.f64 (*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) beta) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
(/.f64 (+.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))) (/.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (-.f64 beta alpha))) 1) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 1 (/.f64 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) alpha) (+.f64 alpha (+.f64 2 beta)))) (-.f64 -1 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))))) 2)
(/.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha 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 (/.f64 beta (-.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))) (-.f64 (+.f64 alpha 2) beta)) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2)) (-.f64 -1 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))))) 2)
(/.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3)) (+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) (-.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)))) 2)
(/.f64 (/.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (-.f64 1 (*.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) beta)))) (*.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (/.f64 (+.f64 alpha (+.f64 beta 2)) beta))) 2)
Outputs
(/.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
Calls

5 calls:

51.0ms
alpha
46.0ms
beta
16.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
8.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
7.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
Results
ErrorSegmentsBranch
5.2b2alpha
15.9b3beta
0.2b2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
0.2b2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
0.2b2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
Compiler

Compiled 606 to 416 computations (31.4% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999999967132419
-0.999968625840385
Compiler

Compiled 20 to 15 computations (25% saved)

regimes104.0ms (0.5%)

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

5 calls:

35.0ms
alpha
35.0ms
beta
13.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
8.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
6.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
Results
ErrorSegmentsBranch
5.2b2alpha
16.6b3beta
0.2b2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
0.2b2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
0.2b2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
Compiler

Compiled 297 to 218 computations (26.6% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999999967132419
-0.999968625840385
Compiler

Compiled 20 to 15 computations (25% saved)

regimes82.0ms (0.4%)

Counts
22 → 2
Calls
Call 1
Inputs
(/.f64 1 2)
(/.f64 1 alpha)
(/.f64 2 2)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (/.f64 beta alpha) 2)
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
(/.f64 (*.f64 (/.f64 2 alpha) beta) 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 2) alpha) 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 1 (/.f64 alpha (+.f64 beta 1))) 2) 2)
(/.f64 (-.f64 2 (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta)) 2)
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) -1) 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)
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:

28.0ms
beta
27.0ms
alpha
11.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
5.0ms
(+.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
5.2b2alpha
16.6b3beta
0.2b2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
0.2b2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
0.2b2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
Compiler

Compiled 219 to 163 computations (25.6% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999999967132419
-0.999968625840385
Compiler

Compiled 20 to 15 computations (25% saved)

regimes77.0ms (0.4%)

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

2 calls:

41.0ms
beta
29.0ms
alpha
Results
ErrorSegmentsBranch
6.6b2alpha
16.3b5beta
Compiler

Compiled 154 to 119 computations (22.7% saved)

bsearch9.0ms (0%)

Algorithm
binary-search
Steps
TimeLeftRight
9.0ms
4.363535220741549e+37
9.134186669895993e+37
Results
8.0ms80×body256valid
Compiler

Compiled 140 to 115 computations (17.9% saved)

regimes48.0ms (0.2%)

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

2 calls:

23.0ms
alpha
22.0ms
beta
Results
ErrorSegmentsBranch
10.6b2alpha
17.4b3beta
Compiler

Compiled 92 to 72 computations (21.7% saved)

bsearch9.0ms (0%)

Algorithm
binary-search
Steps
TimeLeftRight
9.0ms
4.363535220741549e+37
9.134186669895993e+37
Results
8.0ms80×body256valid
Compiler

Compiled 130 to 105 computations (19.2% saved)

regimes54.0ms (0.3%)

Counts
12 → 6
Calls
Call 1
Inputs
(/.f64 1 2)
(/.f64 1 alpha)
(/.f64 2 2)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (/.f64 beta alpha) 2)
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
(/.f64 (*.f64 (/.f64 2 alpha) beta) 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 2) alpha) 2)
Outputs
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
(/.f64 1 alpha)
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(/.f64 1 alpha)
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
Calls

2 calls:

38.0ms
beta
12.0ms
alpha
Results
ErrorSegmentsBranch
21.1b2alpha
17.6b6beta
Compiler

Compiled 74 to 58 computations (21.6% saved)

bsearch101.0ms (0.5%)

Algorithm
binary-search
Steps
TimeLeftRight
26.0ms
3.7508175773427207e-5
1.9308742130702585
18.0ms
3.680301858561708e-42
5.877419692292257e-40
18.0ms
2.2519220251297854e-135
8.154228234254323e-133
22.0ms
-9.941834601018566e-83
-1.811472426639353e-87
17.0ms
-8.966480882286829e-43
-1.4881496207712049e-44
Results
48.0ms408×body256valid
28.0ms114×body1024valid
16.0ms86×body512valid
Compiler

Compiled 660 to 579 computations (12.3% saved)

regimes45.0ms (0.2%)

Counts
10 → 6
Calls
Call 1
Inputs
(/.f64 1 2)
(/.f64 1 alpha)
(/.f64 2 2)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (/.f64 beta alpha) 2)
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
(/.f64 (*.f64 (/.f64 2 alpha) beta) 2)
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
Outputs
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
(/.f64 1 alpha)
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(/.f64 1 alpha)
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
(/.f64 2 2)
Calls

2 calls:

33.0ms
beta
10.0ms
alpha
Results
ErrorSegmentsBranch
21.8b2alpha
17.7b6beta
Compiler

Compiled 60 to 47 computations (21.7% saved)

bsearch97.0ms (0.5%)

Algorithm
binary-search
Steps
TimeLeftRight
21.0ms
1.9308742130702585
7494.741470797178
16.0ms
3.680301858561708e-42
5.877419692292257e-40
21.0ms
2.2519220251297854e-135
8.154228234254323e-133
19.0ms
-9.941834601018566e-83
-1.811472426639353e-87
19.0ms
-8.966480882286829e-43
-1.4881496207712049e-44
Results
38.0ms382×body256valid
32.0ms128×body1024valid
17.0ms94×body512valid
1.0msbody2048valid
Compiler

Compiled 628 to 555 computations (11.6% saved)

regimes41.0ms (0.2%)

Counts
9 → 6
Calls
Call 1
Inputs
(/.f64 1 2)
(/.f64 1 alpha)
(/.f64 2 2)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (/.f64 beta alpha) 2)
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
(/.f64 (*.f64 (/.f64 2 alpha) beta) 2)
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
Outputs
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
(/.f64 1 alpha)
(/.f64 1 2)
(/.f64 1 alpha)
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
(/.f64 2 2)
Calls

2 calls:

27.0ms
beta
12.0ms
alpha
Results
ErrorSegmentsBranch
22.1b2alpha
17.8b6beta
Compiler

Compiled 53 to 41 computations (22.6% saved)

bsearch137.0ms (0.7%)

Algorithm
binary-search
Steps
TimeLeftRight
49.0ms
1.9308742130702585
7494.741470797178
33.0ms
3.680301858561708e-42
5.877419692292257e-40
19.0ms
2.2519220251297854e-135
8.154228234254323e-133
18.0ms
-9.941834601018566e-83
-1.811472426639353e-87
16.0ms
-8.966480882286829e-43
-1.4881496207712049e-44
Results
61.0ms406×body256valid
41.0ms115×body1024valid
22.0ms83×body512valid
2.0msbody2048valid
Compiler

Compiled 564 to 507 computations (10.1% saved)

regimes133.0ms (0.7%)

Counts
8 → 6
Calls
Call 1
Inputs
(/.f64 1 2)
(/.f64 1 alpha)
(/.f64 2 2)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (/.f64 beta alpha) 2)
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
(/.f64 (*.f64 (/.f64 2 alpha) beta) 2)
Outputs
(/.f64 1 2)
(/.f64 1 alpha)
(/.f64 1 2)
(/.f64 1 alpha)
(/.f64 1 2)
(/.f64 2 2)
Calls

2 calls:

94.0ms
beta
33.0ms
alpha
Results
ErrorSegmentsBranch
22.1b2alpha
18.2b6beta
Compiler

Compiled 46 to 35 computations (23.9% saved)

bsearch132.0ms (0.7%)

Algorithm
binary-search
Steps
TimeLeftRight
21.0ms
1.9308742130702585
7494.741470797178
17.0ms
3.680301858561708e-42
5.877419692292257e-40
18.0ms
2.2519220251297854e-135
8.154228234254323e-133
30.0ms
-9.941834601018566e-83
-1.811472426639353e-87
45.0ms
-8.966480882286829e-43
-1.4881496207712049e-44
Results
59.0ms405×body256valid
40.0ms107×body1024valid
22.0ms95×body512valid
0.0msbody2048valid
Compiler

Compiled 476 to 441 computations (7.4% saved)

regimes20.0ms (0.1%)

Accuracy

Total -39.0b remaining (-176.2%)

Threshold costs -39.0b (-176.2%)

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

2 calls:

14.0ms
beta
5.0ms
alpha
Results
ErrorSegmentsBranch
22.1b2alpha
32.2b5beta
Compiler

Compiled 14 to 11 computations (21.4% saved)

bsearch15.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
15.0ms
31.06545576029599
63744.727387943494
Results
13.0ms128×body256valid
Compiler

Compiled 116 to 103 computations (11.2% saved)

simplify25.0ms (0.1%)

Algorithm
egg-herbie
Rules
46×+-commutative
18×sub-neg
18×*-commutative
10×neg-mul-1
10×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01201004
11491004
21741004
31861004
41931004
51941004
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007019110755897/9007199254740992) (/.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (/.f64 (log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007019110755897/9007199254740992) (/.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007019110755897/9007199254740992) (/.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 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)) -9007019110755897/9007199254740992) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 alpha 46999999999999995352942090043405631488) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 46000000000000000475609793308062121984) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 beta 2) alpha) 2))
(if (<=.f64 beta -4820814132776971/200867255532373784442745261542645325315275374222849104412672) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (if (<=.f64 beta -7108564855544789/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912) (/.f64 1 alpha) (if (<=.f64 beta 2557336412418861/3196670515523576044934755563308202297086564498088930458479776726656380660551439995003193449537015778467662777468320381844938727095591204153641140224) (/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) (if (<=.f64 beta 1608507319692837/392318858461667547739736838950479151006397215279002157056) (/.f64 1 alpha) (if (<=.f64 beta 4278419646001971/2251799813685248) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (/.f64 (-.f64 2 (/.f64 2 beta)) 2))))))
(if (<=.f64 beta -728143801304855/25108406941546723055343157692830665664409421777856138051584) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (if (<=.f64 beta -6124302029392433/8749002899132047697490008908470485461412677723572849745703082425639811996797503692894052708092215296) (/.f64 1 alpha) (if (<=.f64 beta 1470468437140845/12786682062094304179739022253232809188346257992355721833919106906625522642205759980012773798148063113870651109873281527379754908382364816614564560896) (/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) (if (<=.f64 beta 5963246648617347/1569275433846670190958947355801916604025588861116008628224) (/.f64 1 alpha) (if (<=.f64 beta 2) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (/.f64 2 2))))))
(if (<=.f64 beta -8637291987892073/401734511064747568885490523085290650630550748445698208825344) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (if (<=.f64 beta -1640438043587259/17087896287367280659160173649356416916821636178853222159576332862577757806245124400183696695492608) (/.f64 1 alpha) (if (<=.f64 beta 2301602771176975/3196670515523576044934755563308202297086564498088930458479776726656380660551439995003193449537015778467662777468320381844938727095591204153641140224) (/.f64 1 2) (if (<=.f64 beta 6277101735386681/392318858461667547739736838950479151006397215279002157056) (/.f64 1 alpha) (if (<=.f64 beta 2) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (/.f64 2 2))))))
(if (<=.f64 beta -6628619432568335/401734511064747568885490523085290650630550748445698208825344) (/.f64 1 2) (if (<=.f64 beta -6124302029392433/4374501449566023848745004454235242730706338861786424872851541212819905998398751846447026354046107648) (/.f64 1 alpha) (if (<=.f64 beta 2301602771176975/12786682062094304179739022253232809188346257992355721833919106906625522642205759980012773798148063113870651109873281527379754908382364816614564560896) (/.f64 1 2) (if (<=.f64 beta 5963246648617347/1569275433846670190958947355801916604025588861116008628224) (/.f64 1 alpha) (if (<=.f64 beta 2) (/.f64 1 2) (/.f64 2 2))))))
(if (<=.f64 alpha 63/2) (/.f64 1 2) (/.f64 1 alpha))
(/.f64 1 2)
Outputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007019110755897/9007199254740992) (/.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (/.f64 (log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -9007019110755897/9007199254740992) (/.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (/.f64 (log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007019110755897/9007199254740992) (/.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -9007019110755897/9007199254740992) (/.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -9007019110755897/9007199254740992) (/.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007019110755897/9007199254740992) (/.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -9007019110755897/9007199254740992) (/.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007019110755897/9007199254740992) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -9007019110755897/9007199254740992) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))
(if (<=.f64 alpha 46999999999999995352942090043405631488) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 46999999999999995352942090043405631488) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2))
(if (<=.f64 alpha 46000000000000000475609793308062121984) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 beta 2) alpha) 2))
(if (<=.f64 alpha 46000000000000000475609793308062121984) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 (+.f64 beta 2) alpha) 2))
(if (<=.f64 beta -4820814132776971/200867255532373784442745261542645325315275374222849104412672) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (if (<=.f64 beta -7108564855544789/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912) (/.f64 1 alpha) (if (<=.f64 beta 2557336412418861/3196670515523576044934755563308202297086564498088930458479776726656380660551439995003193449537015778467662777468320381844938727095591204153641140224) (/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) (if (<=.f64 beta 1608507319692837/392318858461667547739736838950479151006397215279002157056) (/.f64 1 alpha) (if (<=.f64 beta 4278419646001971/2251799813685248) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (/.f64 (-.f64 2 (/.f64 2 beta)) 2))))))
(if (<=.f64 beta -4820814132776971/200867255532373784442745261542645325315275374222849104412672) (/.f64 (+.f64 1 (*.f64 beta 1/2)) 2) (if (<=.f64 beta -7108564855544789/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912) (/.f64 1 alpha) (if (<=.f64 beta 2557336412418861/3196670515523576044934755563308202297086564498088930458479776726656380660551439995003193449537015778467662777468320381844938727095591204153641140224) (/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) (if (<=.f64 beta 1608507319692837/392318858461667547739736838950479151006397215279002157056) (/.f64 1 alpha) (if (<=.f64 beta 4278419646001971/2251799813685248) (/.f64 (+.f64 1 (*.f64 beta 1/2)) 2) (/.f64 (-.f64 2 (/.f64 2 beta)) 2))))))
(if (<=.f64 beta -4820814132776971/200867255532373784442745261542645325315275374222849104412672) (/.f64 (+.f64 1 (*.f64 beta 1/2)) 2) (if (<=.f64 beta -7108564855544789/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912) (/.f64 1 alpha) (if (<=.f64 beta 2557336412418861/3196670515523576044934755563308202297086564498088930458479776726656380660551439995003193449537015778467662777468320381844938727095591204153641140224) (/.f64 (+.f64 1 (*.f64 alpha -1/2)) 2) (if (<=.f64 beta 1608507319692837/392318858461667547739736838950479151006397215279002157056) (/.f64 1 alpha) (if (<=.f64 beta 4278419646001971/2251799813685248) (/.f64 (+.f64 1 (*.f64 beta 1/2)) 2) (/.f64 (+.f64 2 (/.f64 -2 beta)) 2))))))
(if (<=.f64 beta -728143801304855/25108406941546723055343157692830665664409421777856138051584) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (if (<=.f64 beta -6124302029392433/8749002899132047697490008908470485461412677723572849745703082425639811996797503692894052708092215296) (/.f64 1 alpha) (if (<=.f64 beta 1470468437140845/12786682062094304179739022253232809188346257992355721833919106906625522642205759980012773798148063113870651109873281527379754908382364816614564560896) (/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) (if (<=.f64 beta 5963246648617347/1569275433846670190958947355801916604025588861116008628224) (/.f64 1 alpha) (if (<=.f64 beta 2) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (/.f64 2 2))))))
(if (<=.f64 beta -728143801304855/25108406941546723055343157692830665664409421777856138051584) (/.f64 (+.f64 1 (*.f64 beta 1/2)) 2) (if (<=.f64 beta -6124302029392433/8749002899132047697490008908470485461412677723572849745703082425639811996797503692894052708092215296) (/.f64 1 alpha) (if (<=.f64 beta 1470468437140845/12786682062094304179739022253232809188346257992355721833919106906625522642205759980012773798148063113870651109873281527379754908382364816614564560896) (/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) (if (<=.f64 beta 5963246648617347/1569275433846670190958947355801916604025588861116008628224) (/.f64 1 alpha) (if (<=.f64 beta 2) (/.f64 (+.f64 1 (*.f64 beta 1/2)) 2) 1)))))
(if (<=.f64 beta -728143801304855/25108406941546723055343157692830665664409421777856138051584) (/.f64 (+.f64 1 (*.f64 beta 1/2)) 2) (if (<=.f64 beta -6124302029392433/8749002899132047697490008908470485461412677723572849745703082425639811996797503692894052708092215296) (/.f64 1 alpha) (if (<=.f64 beta 1470468437140845/12786682062094304179739022253232809188346257992355721833919106906625522642205759980012773798148063113870651109873281527379754908382364816614564560896) (/.f64 (+.f64 1 (*.f64 alpha -1/2)) 2) (if (<=.f64 beta 5963246648617347/1569275433846670190958947355801916604025588861116008628224) (/.f64 1 alpha) (if (<=.f64 beta 2) (/.f64 (+.f64 1 (*.f64 beta 1/2)) 2) 1)))))
(if (<=.f64 beta -8637291987892073/401734511064747568885490523085290650630550748445698208825344) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (if (<=.f64 beta -1640438043587259/17087896287367280659160173649356416916821636178853222159576332862577757806245124400183696695492608) (/.f64 1 alpha) (if (<=.f64 beta 2301602771176975/3196670515523576044934755563308202297086564498088930458479776726656380660551439995003193449537015778467662777468320381844938727095591204153641140224) (/.f64 1 2) (if (<=.f64 beta 6277101735386681/392318858461667547739736838950479151006397215279002157056) (/.f64 1 alpha) (if (<=.f64 beta 2) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (/.f64 2 2))))))
(if (<=.f64 beta -8637291987892073/401734511064747568885490523085290650630550748445698208825344) (/.f64 (+.f64 1 (*.f64 beta 1/2)) 2) (if (<=.f64 beta -1640438043587259/17087896287367280659160173649356416916821636178853222159576332862577757806245124400183696695492608) (/.f64 1 alpha) (if (<=.f64 beta 2301602771176975/3196670515523576044934755563308202297086564498088930458479776726656380660551439995003193449537015778467662777468320381844938727095591204153641140224) 1/2 (if (<=.f64 beta 6277101735386681/392318858461667547739736838950479151006397215279002157056) (/.f64 1 alpha) (if (<=.f64 beta 2) (/.f64 (+.f64 1 (*.f64 beta 1/2)) 2) 1)))))
(if (<=.f64 beta -6628619432568335/401734511064747568885490523085290650630550748445698208825344) (/.f64 1 2) (if (<=.f64 beta -6124302029392433/4374501449566023848745004454235242730706338861786424872851541212819905998398751846447026354046107648) (/.f64 1 alpha) (if (<=.f64 beta 2301602771176975/12786682062094304179739022253232809188346257992355721833919106906625522642205759980012773798148063113870651109873281527379754908382364816614564560896) (/.f64 1 2) (if (<=.f64 beta 5963246648617347/1569275433846670190958947355801916604025588861116008628224) (/.f64 1 alpha) (if (<=.f64 beta 2) (/.f64 1 2) (/.f64 2 2))))))
(if (<=.f64 beta -6628619432568335/401734511064747568885490523085290650630550748445698208825344) 1/2 (if (<=.f64 beta -6124302029392433/4374501449566023848745004454235242730706338861786424872851541212819905998398751846447026354046107648) (/.f64 1 alpha) (if (<=.f64 beta 2301602771176975/12786682062094304179739022253232809188346257992355721833919106906625522642205759980012773798148063113870651109873281527379754908382364816614564560896) 1/2 (if (<=.f64 beta 5963246648617347/1569275433846670190958947355801916604025588861116008628224) (/.f64 1 alpha) (if (<=.f64 beta 2) 1/2 1)))))
(if (<=.f64 alpha 63/2) (/.f64 1 2) (/.f64 1 alpha))
(if (<=.f64 alpha 63/2) 1/2 (/.f64 1 alpha))
(/.f64 1 2)
1/2
Compiler

Compiled 411 to 306 computations (25.5% saved)

soundness452.0ms (2.3%)

Algorithm
egg-herbie
Rules
1088×associate-*r*
1082×+-commutative
982×associate-/l*
982×associate-/l*
958×*-commutative
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01237
12537
24137
36937
411737
525533
646333
784533
8172033
9394033
096728603
1293827231
01237
12537
24137
36937
411737
525533
646333
784533
8172033
9394033
Stop Event
node limit
node limit
node limit
Compiler

Compiled 91 to 63 computations (30.8% saved)

end157.0ms (0.8%)

Compiler

Compiled 389 to 278 computations (28.5% saved)

Profiling

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