Details

Time bar (total: 14.2s)

analyze40.0ms (0.3%)

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)

sample1.3s (9.1%)

Results
774.0ms6515×body256valid
309.0ms1034×body1024valid
163.0ms611×body512valid
30.0ms96×body2048valid
Bogosity

preprocess80.0ms (0.6%)

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)

simplify73.0ms (0.5%)

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
14.4b
Counts
6 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
14.4b
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
Compiler

Compiled 15 to 11 computations (26.7% saved)

localize24.0ms (0.2%)

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)

series9.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite90.0ms (0.6%)

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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simplify109.0ms (0.8%)

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)))

eval190.0ms (1.3%)

Compiler

Compiled 12222 to 7914 computations (35.2% saved)

prune74.0ms (0.5%)

Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New34113354
Fresh000
Picked011
Done000
Total34114355
Error
0.0b
Counts
355 → 14
Alt Table
Click to see full alt table
StatusErrorProgram
47.3b
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
14.4b
(/.f64 (/.f64 1 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 2)
48.3b
(/.f64 (-.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 2 alpha))) (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta)))) 2)
14.2b
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
31.2b
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
48.6b
(/.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)
14.4b
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
27.4b
(/.f64 (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 (-.f64 2 beta) alpha)) (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))) 1) 2)
15.7b
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
14.4b
(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2)
43.5b
(/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) 2)
61.7b
(/.f64 (+.f64 -1 1) 2)
48.3b
(/.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)
38.7b
(/.f64 2 2)
Compiler

Compiled 519 to 395 computations (23.9% saved)

localize34.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 beta (+.f64 beta (+.f64 alpha 2)))
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)))
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
alpha
@0
(-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)
0.0ms
beta
@0
(/.f64 beta (+.f64 beta (+.f64 alpha 2)))

rewrite189.0ms (1.3%)

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

simplify246.0ms (1.7%)

Algorithm
egg-herbie
Rules
1090×associate-*r*
1084×+-commutative
958×*-commutative
832×associate-*l*
788×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
096728603
1293927231
Stop Event
node limit
Counts
401 → 645
Calls
Call 1
Inputs
-1
(-.f64 (/.f64 alpha (+.f64 beta 2)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 alpha (+.f64 beta 2))) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) 1)
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))))
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))))
(-.f64 (/.f64 alpha (+.f64 2 alpha)) 1)
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2)))) 1)
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2))))) 1)
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 3) alpha) (pow.f64 (+.f64 2 alpha) 4))) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2)))))) 1)
-1
(-.f64 (/.f64 alpha beta) 1)
(-.f64 (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) 1)
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))) 1)
-1
(-.f64 (/.f64 alpha beta) 1)
(-.f64 (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) 1)
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))) 1)
(/.f64 alpha (+.f64 beta 2))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 alpha (+.f64 beta 2)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 alpha (+.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))))
1
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1)
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))))
1
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1)
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))))
(/.f64 alpha (+.f64 2 alpha))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2))))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2)))))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 3) alpha) (pow.f64 (+.f64 2 alpha) 4))) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2))))))
(/.f64 alpha beta)
(+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))))
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 3) alpha) (pow.f64 beta 4))) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))))
(/.f64 alpha beta)
(+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))))
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 3) alpha) (pow.f64 beta 4))) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))))
(-.f64 1 (/.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)))
(-.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 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)))
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(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 beta (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (/.f64 beta (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 beta (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)))
(*.f64 (/.f64 beta (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta))))
(*.f64 (/.f64 1 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (*.f64 beta (-.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (*.f64 beta (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta)))))
(*.f64 (/.f64 1 (-.f64 -2 (+.f64 alpha beta))) (neg.f64 beta))
(*.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (sqrt.f64 beta) (+.f64 alpha (+.f64 beta 2))) (sqrt.f64 beta))
(*.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (cbrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (+.f64 alpha (+.f64 beta 2))) (cbrt.f64 beta))
(*.f64 (/.f64 beta (neg.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))) (neg.f64 (-.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 beta (neg.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))) (neg.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta)))))
(*.f64 (/.f64 beta (-.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))) (-.f64 (+.f64 alpha 2) beta))
(*.f64 (/.f64 beta (-.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) 4)) (+.f64 beta (+.f64 alpha -2)))
(*.f64 (/.f64 beta (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (-.f64 (+.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) 4) (*.f64 (+.f64 alpha beta) 2)))
(*.f64 (/.f64 1 (/.f64 (+.f64 alpha (+.f64 beta 2)) (pow.f64 (cbrt.f64 beta) 2))) (cbrt.f64 beta))
(*.f64 (/.f64 (neg.f64 beta) (neg.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))) (-.f64 beta (+.f64 alpha 2)))
(*.f64 (/.f64 (neg.f64 beta) (neg.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta))))
(*.f64 (/.f64 (/.f64 beta 1) 1) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (/.f64 beta 1) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)))
(*.f64 (/.f64 (/.f64 beta 1) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta))))
(*.f64 (/.f64 (/.f64 beta 1) (neg.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))) (neg.f64 (-.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (/.f64 beta 1) (neg.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))) (neg.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta)))))
(*.f64 (/.f64 (/.f64 beta 1) (-.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))) (-.f64 (+.f64 alpha 2) beta))
(*.f64 (/.f64 (/.f64 beta 1) (-.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) 4)) (+.f64 beta (+.f64 alpha -2)))
(*.f64 (/.f64 (/.f64 beta 1) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (-.f64 (+.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) 4) (*.f64 (+.f64 alpha beta) 2)))
(*.f64 (/.f64 (/.f64 beta (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))) (sqrt.f64 (-.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (/.f64 beta (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))) (sqrt.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta)))))
(*.f64 (/.f64 (/.f64 beta (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (cbrt.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))) (cbrt.f64 (-.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (/.f64 beta (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (cbrt.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))) (cbrt.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta)))))
(pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 1)
(pow.f64 (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 2)
(pow.f64 (cbrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 3)
(pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta) -1)
(pow.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 3) 1/3)
(neg.f64 (/.f64 beta (-.f64 -2 (+.f64 alpha beta))))
(sqrt.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2))
(log.f64 (exp.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))))
(cbrt.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 3))
(expm1.f64 (log1p.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))
(exp.f64 (log.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))
(exp.f64 (*.f64 (log.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 beta (+.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 (*.f64 alpha beta) (pow.f64 (+.f64 alpha 2) 2))) 1))
(+.f64 -1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 (*.f64 (neg.f64 alpha) beta) (pow.f64 (+.f64 alpha 2) 2))))
(-.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 alpha (+.f64 alpha 2)) (-.f64 (+.f64 (neg.f64 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (*.f64 beta beta) (/.f64 (pow.f64 (+.f64 alpha 2) 3) alpha))) 1))
(+.f64 -1 (+.f64 (/.f64 (*.f64 (neg.f64 alpha) beta) (pow.f64 (+.f64 alpha 2) 2)) (+.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 beta (/.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 3) alpha) beta)))))
(-.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 alpha (+.f64 alpha 2)) (-.f64 (+.f64 (/.f64 (*.f64 beta beta) (/.f64 (pow.f64 (+.f64 alpha 2) 3) alpha)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 beta 3) (/.f64 (pow.f64 (+.f64 alpha 2) 4) alpha)) (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 alpha 2) 2))))) 1))
(+.f64 -1 (+.f64 (*.f64 -1 (+.f64 (*.f64 beta (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (pow.f64 beta 3) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4))))) (+.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 beta (/.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 3) alpha) beta)))))
-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 (/.f64 alpha beta) (neg.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)))) -1)
(+.f64 (/.f64 (*.f64 (neg.f64 alpha) (+.f64 alpha 2)) (*.f64 beta beta)) (+.f64 -1 (/.f64 alpha beta)))
(-.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 (/.f64 alpha beta) (neg.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)))) -1))
(+.f64 -1 (+.f64 (/.f64 (*.f64 (neg.f64 alpha) (+.f64 alpha 2)) (*.f64 beta beta)) (+.f64 (/.f64 alpha 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 (/.f64 alpha beta) (neg.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)))) -1)
(+.f64 (/.f64 (*.f64 (neg.f64 alpha) (+.f64 alpha 2)) (*.f64 beta beta)) (+.f64 -1 (/.f64 alpha beta)))
(-.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 (/.f64 alpha beta) (neg.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)))) -1))
(+.f64 -1 (+.f64 (/.f64 (*.f64 (neg.f64 alpha) (+.f64 alpha 2)) (*.f64 beta beta)) (+.f64 (/.f64 alpha beta) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) alpha)))))
(/.f64 alpha (+.f64 beta 2))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 alpha (+.f64 beta 2)))
(fma.f64 -1 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (/.f64 alpha (+.f64 beta 2)))
(fma.f64 -1 (/.f64 alpha (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (/.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 (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)))
(+.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 (*.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)))))
(+.f64 (fma.f64 -1 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (/.f64 alpha (+.f64 beta 2))) (fma.f64 -1 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))
(+.f64 (fma.f64 -1 (/.f64 alpha (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (/.f64 alpha (+.f64 beta 2))) (fma.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)
(fma.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 (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) 1) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) 1))
(+.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 (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) 1) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))))
(+.f64 1 (+.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)))))
1
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1)
(fma.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 (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) 1) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) 1))
(+.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 (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) 1) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))))
(+.f64 1 (+.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 alpha (+.f64 2 alpha))
(/.f64 alpha (+.f64 alpha 2))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2))))
(+.f64 (/.f64 alpha (+.f64 alpha 2)) (neg.f64 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 alpha 2) 2))))
(+.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 (*.f64 (neg.f64 alpha) beta) (pow.f64 (+.f64 alpha 2) 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 alpha 2)) (+.f64 (neg.f64 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (*.f64 beta beta) (/.f64 (pow.f64 (+.f64 alpha 2) 3) alpha))))
(+.f64 (/.f64 (*.f64 (neg.f64 alpha) beta) (pow.f64 (+.f64 alpha 2) 2)) (+.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 beta (/.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 3) alpha) beta))))
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2
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1
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1
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(/.f64 beta alpha)
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(*.f64 (/.f64 (/.f64 beta 1) (neg.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))) (neg.f64 (-.f64 beta (+.f64 alpha 2))))
(*.f64 (neg.f64 (-.f64 beta (+.f64 alpha 2))) (/.f64 beta (neg.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))))
(*.f64 (+.f64 alpha (-.f64 2 beta)) (/.f64 beta (neg.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))))
(*.f64 (/.f64 (/.f64 beta 1) (neg.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))) (neg.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta)))))
(/.f64 (*.f64 beta (neg.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))))) (neg.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))))
(*.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))) (/.f64 (neg.f64 beta) (neg.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)))))
(*.f64 (/.f64 (/.f64 beta 1) (-.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))) (-.f64 (+.f64 alpha 2) beta))
(*.f64 (+.f64 alpha (-.f64 2 beta)) (/.f64 beta (-.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))))
(/.f64 beta (/.f64 (-.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (+.f64 alpha (-.f64 2 beta))))
(*.f64 (/.f64 (/.f64 beta 1) (-.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) 4)) (+.f64 beta (+.f64 alpha -2)))
(*.f64 (+.f64 beta (+.f64 alpha -2)) (/.f64 beta (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) -4)))
(*.f64 (+.f64 alpha (+.f64 beta -2)) (/.f64 beta (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) -4)))
(*.f64 (/.f64 (/.f64 beta 1) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (-.f64 (+.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) 4) (*.f64 (+.f64 alpha beta) 2)))
(*.f64 (-.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) 4) (*.f64 2 (+.f64 alpha beta))) (/.f64 beta (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))))
(*.f64 (/.f64 (/.f64 beta (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))) (sqrt.f64 (-.f64 beta (+.f64 alpha 2))))
(*.f64 (sqrt.f64 (-.f64 beta (+.f64 alpha 2))) (/.f64 (/.f64 beta (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))))
(/.f64 (/.f64 beta (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (sqrt.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (sqrt.f64 (-.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (/.f64 beta (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))) (sqrt.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta)))))
(*.f64 (sqrt.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta))))) (/.f64 beta (*.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))) (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))))
(*.f64 (sqrt.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta))))) (/.f64 (/.f64 beta (sqrt.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)))) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 (/.f64 beta (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (cbrt.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))) (cbrt.f64 (-.f64 beta (+.f64 alpha 2))))
(*.f64 (cbrt.f64 (-.f64 beta (+.f64 alpha 2))) (/.f64 beta (*.f64 (cbrt.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2))))
(*.f64 (cbrt.f64 (-.f64 beta (+.f64 alpha 2))) (/.f64 (/.f64 beta (cbrt.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)))
(*.f64 (/.f64 (/.f64 beta (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (cbrt.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))) (cbrt.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta)))))
(*.f64 (cbrt.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta))))) (/.f64 (/.f64 beta (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)))))
(*.f64 (cbrt.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta))))) (/.f64 beta (*.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2) (cbrt.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))))))
(pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 1)
(/.f64 beta (+.f64 alpha (+.f64 beta 2)))
(pow.f64 (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 2)
(/.f64 beta (+.f64 alpha (+.f64 beta 2)))
(pow.f64 (cbrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 3)
(/.f64 beta (+.f64 alpha (+.f64 beta 2)))
(pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta) -1)
(/.f64 beta (+.f64 alpha (+.f64 beta 2)))
(pow.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 3) 1/3)
(/.f64 beta (+.f64 alpha (+.f64 beta 2)))
(neg.f64 (/.f64 beta (-.f64 -2 (+.f64 alpha beta))))
(*.f64 (/.f64 1 (-.f64 -2 (+.f64 alpha beta))) (neg.f64 beta))
(/.f64 (neg.f64 beta) (-.f64 (-.f64 -2 beta) alpha))
(sqrt.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2))
(log.f64 (exp.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))
(/.f64 beta (+.f64 alpha (+.f64 beta 2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))))
(/.f64 beta (+.f64 alpha (+.f64 beta 2)))
(cbrt.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 3))
(/.f64 beta (+.f64 alpha (+.f64 beta 2)))
(expm1.f64 (log1p.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))
(/.f64 beta (+.f64 alpha (+.f64 beta 2)))
(exp.f64 (log.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))
(/.f64 beta (+.f64 alpha (+.f64 beta 2)))
(exp.f64 (*.f64 (log.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 1))
(/.f64 beta (+.f64 alpha (+.f64 beta 2)))
(log1p.f64 (expm1.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))
(/.f64 beta (+.f64 alpha (+.f64 beta 2)))

localize3.0ms (0%)

Compiler

Compiled 6 to 6 computations (0% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 alpha (+.f64 alpha 2))
1.5b
(-.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))

rewrite90.0ms (0.6%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0832
118032
2243132
Stop Event
node limit
Counts
2 → 139
Calls
Call 1
Inputs
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(/.f64 alpha (+.f64 alpha 2))
Outputs
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2))))))))

simplify96.0ms (0.7%)

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))))
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(*.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))

localize21.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
0.1b
(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha))
4.5b
(+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1)
Compiler

Compiled 63 to 39 computations (38.1% saved)

series3.0ms (0%)

Counts
3 → 72
Calls

18 calls:

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

rewrite162.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
1614×distribute-lft-in
1120×associate-/r*
802×associate-/r/
774×associate-/l*
364×associate-/l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01275
128275
2402475
Stop Event
node limit
Counts
3 → 267
Calls
Call 1
Inputs
(+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1)
(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha))
(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
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 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simplify216.0ms (1.5%)

Algorithm
egg-herbie
Rules
1220×associate-/l*
1068×associate-*r*
998×associate-/r*
952×*-commutative
888×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
098822689
1316522191
Stop Event
node limit
Counts
339 → 626
Calls
Call 1
Inputs
(-.f64 1 (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) 1) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))))) (/.f64 alpha (+.f64 2 alpha)))
2
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))))
2
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 2 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta))))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2)))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2))))))
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(-.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))) (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)))
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))))) (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 4) (*.f64 beta (pow.f64 (+.f64 beta 2) 3))) (pow.f64 alpha 4))) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))))
(*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))
(+.f64 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))))
(+.f64 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))))
(+.f64 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (*.f64 (pow.f64 beta 3) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))))))
1
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 1) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) 1)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta))))
1
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 1) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) 1)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta))))
(/.f64 beta (+.f64 beta 2))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)) (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)) (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2)))))
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(/.f64 (/.f64 (*.f64 -1 (-.f64 beta alpha)) (neg.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))))) (sqrt.f64 (+.f64 beta (+.f64 alpha 2))))
(/.f64 (/.f64 (*.f64 -1 (-.f64 beta alpha)) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2))) (cbrt.f64 (+.f64 beta (+.f64 alpha 2))))
(/.f64 (/.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) 1) (+.f64 beta alpha))
(/.f64 (/.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (+.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 (cbrt.f64 (+.f64 beta alpha)) (cbrt.f64 (+.f64 beta alpha)))) (cbrt.f64 (+.f64 beta alpha)))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) 1) (fma.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)))) (sqrt.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))))) (sqrt.f64 (fma.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 (cbrt.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha)))) (cbrt.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha)))))) (cbrt.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha)))))
(/.f64 (/.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1) (sqrt.f64 (+.f64 beta (+.f64 alpha 2))))
(/.f64 (/.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (cbrt.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (/.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2))) (sqrt.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (/.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))))) (sqrt.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (/.f64 (/.f64 (-.f64 beta alpha) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) 1) (cbrt.f64 (+.f64 beta (+.f64 alpha 2))))
(/.f64 (/.f64 (/.f64 (-.f64 beta alpha) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))))) (sqrt.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (/.f64 (/.f64 (-.f64 beta alpha) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (cbrt.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))) (cbrt.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (/.f64 (/.f64 (-.f64 beta alpha) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2))) (cbrt.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (/.f64 (/.f64 (-.f64 beta alpha) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))))) (cbrt.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (/.f64 (*.f64 -1 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (-.f64 -2 (+.f64 beta alpha))) (+.f64 beta alpha))
(/.f64 (/.f64 (*.f64 -1 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (-.f64 -2 (+.f64 beta alpha))) (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))))
(/.f64 (/.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) 1) (+.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (/.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) -1) (+.f64 beta alpha)) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) 1) (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha)))) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) -1) (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha)))) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) 1) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (neg.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) -1) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (sqrt.f64 (-.f64 -2 (+.f64 beta alpha)))) (sqrt.f64 (-.f64 -2 (+.f64 beta alpha))))
(/.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (*.f64 (cbrt.f64 (-.f64 -2 (+.f64 beta alpha))) (cbrt.f64 (-.f64 -2 (+.f64 beta alpha))))) (cbrt.f64 (-.f64 -2 (+.f64 beta alpha))))
(/.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (neg.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))))) (sqrt.f64 (+.f64 beta (+.f64 alpha 2))))
(/.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2))) (cbrt.f64 (+.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 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))
(log.f64 (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)))))
(+.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (*.f64 (/.f64 1 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 (neg.f64 (+.f64 alpha 2)) 1 (+.f64 alpha 2))))
(+.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (*.f64 (/.f64 1 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 alpha 2)) (+.f64 alpha 2))))
(+.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (*.f64 (/.f64 1 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2) (+.f64 alpha 2))))
(+.f64 (*.f64 (/.f64 1 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) beta) (*.f64 (/.f64 1 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (neg.f64 (+.f64 alpha 2))))
(+.f64 (*.f64 (/.f64 1 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) beta) (*.f64 (/.f64 1 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (+.f64 (neg.f64 alpha) -2)))
(+.f64 (*.f64 (/.f64 1 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) beta) (*.f64 (/.f64 1 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (neg.f64 (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 alpha 2)))))
(+.f64 (*.f64 (/.f64 1 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) beta) (*.f64 (/.f64 1 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (+.f64 alpha 2)))))
(+.f64 (*.f64 (/.f64 1 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (*.f64 beta beta)) (*.f64 (/.f64 1 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))))
(+.f64 (*.f64 (/.f64 1 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))) (*.f64 (/.f64 1 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (*.f64 beta beta)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))) 1)
(*.f64 1 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1)
(*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2))
(*.f64 (/.f64 -1 (cbrt.f64 (-.f64 -2 (+.f64 beta alpha)))) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)) (/.f64 -1 (cbrt.f64 (-.f64 -2 (+.f64 beta alpha)))))
(*.f64 -1 (/.f64 -1 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 -1 (cbrt.f64 (-.f64 -2 (+.f64 beta alpha)))))
(*.f64 (/.f64 1 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))))
(*.f64 (/.f64 -1 (+.f64 beta (+.f64 alpha 2))) -1)
(*.f64 (pow.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) -1) (pow.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) -1))
(*.f64 (/.f64 1 (neg.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))) (neg.f64 (-.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 1 (neg.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))) (neg.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta))))))
(*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))) (+.f64 alpha (-.f64 2 beta)))
(*.f64 (/.f64 1 (-.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) 4)) (-.f64 (+.f64 beta alpha) 2))
(*.f64 (/.f64 1 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))))
(*.f64 (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2) (sqrt.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))) (sqrt.f64 (-.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2) (sqrt.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))) (sqrt.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta))))))
(*.f64 (/.f64 -1 (neg.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))) (-.f64 beta (+.f64 alpha 2)))
(*.f64 (/.f64 -1 (neg.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))) (cbrt.f64 (-.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))) (cbrt.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta))))))
(*.f64 (/.f64 (-.f64 beta (+.f64 alpha 2)) (-.f64 (*.f64 (*.f64 beta beta) (*.f64 beta beta)) (*.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 (+.f64 alpha 2) 2)))) (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))
(*.f64 (/.f64 (-.f64 beta (+.f64 alpha 2)) (-.f64 (pow.f64 (*.f64 beta beta) 3) (pow.f64 (pow.f64 (+.f64 alpha 2) 2) 3))) (+.f64 (*.f64 (*.f64 beta beta) (*.f64 beta beta)) (+.f64 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 (+.f64 alpha 2) 2)) (*.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))))
(*.f64 (/.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))) (-.f64 (*.f64 (pow.f64 beta 3) (pow.f64 beta 3)) (*.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 (+.f64 alpha 2) 3)))) (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))
(*.f64 (/.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))) (+.f64 (pow.f64 (pow.f64 beta 3) 3) (pow.f64 (pow.f64 (+.f64 alpha 2) 3) 3))) (+.f64 (*.f64 (pow.f64 beta 3) (pow.f64 beta 3)) (-.f64 (*.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 (+.f64 alpha 2) 3)) (*.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))))
(pow.f64 (+.f64 beta (+.f64 alpha 2)) -1)
(pow.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1)
(pow.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2) 2)
(pow.f64 (/.f64 -1 (cbrt.f64 (-.f64 -2 (+.f64 beta alpha)))) 3)
(pow.f64 (/.f64 1 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3)) 1/3)
(sqrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))))
(cbrt.f64 (/.f64 1 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (*.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 beta (+.f64 alpha 2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
Outputs
(-.f64 1 (/.f64 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 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (+.f64 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 alpha (/.f64 beta (/.f64 (+.f64 alpha 2) beta))) (neg.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))))
(-.f64 (+.f64 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2) (+.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)) (neg.f64 (/.f64 (*.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 beta 3))))) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2) (-.f64 (+.f64 (/.f64 alpha (/.f64 beta (/.f64 (+.f64 alpha 2) beta))) (/.f64 (*.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 beta 3))) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)))))
2
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(-.f64 (fma.f64 -1 (/.f64 alpha beta) 2) (+.f64 (/.f64 alpha beta) (/.f64 2 beta)))
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1
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1
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-1
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(*.f64 (/.f64 (-.f64 beta (+.f64 alpha 2)) (-.f64 (pow.f64 beta 4) (pow.f64 (+.f64 alpha 2) 4))) (+.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))
(*.f64 (/.f64 (+.f64 (-.f64 beta alpha) -2) (-.f64 (pow.f64 beta 4) (pow.f64 (+.f64 alpha 2) 4))) (+.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))
(*.f64 (/.f64 (-.f64 beta (+.f64 alpha 2)) (-.f64 (pow.f64 (*.f64 beta beta) 3) (pow.f64 (pow.f64 (+.f64 alpha 2) 2) 3))) (+.f64 (*.f64 (*.f64 beta beta) (*.f64 beta beta)) (+.f64 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 (+.f64 alpha 2) 2)) (*.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))))
(*.f64 (/.f64 (-.f64 beta (+.f64 alpha 2)) (-.f64 (pow.f64 beta 6) (pow.f64 (pow.f64 (+.f64 alpha 2) 2) 3))) (+.f64 (pow.f64 beta 4) (+.f64 (pow.f64 (+.f64 alpha 2) 4) (*.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))))
(*.f64 (/.f64 (+.f64 (-.f64 beta alpha) -2) (-.f64 (pow.f64 beta 6) (pow.f64 (+.f64 alpha 2) 6))) (+.f64 (*.f64 beta (*.f64 beta (pow.f64 (+.f64 alpha 2) 2))) (+.f64 (pow.f64 beta 4) (pow.f64 (+.f64 alpha 2) 4))))
(*.f64 (/.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))) (-.f64 (*.f64 (pow.f64 beta 3) (pow.f64 beta 3)) (*.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 (+.f64 alpha 2) 3)))) (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))
(/.f64 (*.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))) (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (-.f64 (pow.f64 beta 6) (pow.f64 (+.f64 alpha 2) 6)))
(*.f64 (/.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))) (-.f64 (pow.f64 beta 6) (pow.f64 (+.f64 alpha 2) 6))) (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))
(*.f64 (/.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))) (+.f64 (pow.f64 (pow.f64 beta 3) 3) (pow.f64 (pow.f64 (+.f64 alpha 2) 3) 3))) (+.f64 (*.f64 (pow.f64 beta 3) (pow.f64 beta 3)) (-.f64 (*.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 (+.f64 alpha 2) 3)) (*.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))))
(*.f64 (/.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))) (+.f64 (pow.f64 (pow.f64 beta 3) 3) (pow.f64 (pow.f64 (+.f64 alpha 2) 3) 3))) (+.f64 (pow.f64 beta 6) (-.f64 (pow.f64 (+.f64 alpha 2) 6) (*.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))))
(/.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))) (/.f64 (+.f64 (pow.f64 (pow.f64 beta 3) 3) (pow.f64 (pow.f64 (+.f64 alpha 2) 3) 3)) (-.f64 (+.f64 (pow.f64 beta 6) (pow.f64 (+.f64 alpha 2) 6)) (*.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))))
(pow.f64 (+.f64 beta (+.f64 alpha 2)) -1)
(/.f64 1 (+.f64 (+.f64 alpha beta) 2))
(/.f64 1 (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1)
(/.f64 1 (+.f64 (+.f64 alpha beta) 2))
(/.f64 1 (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2) 2)
(/.f64 1 (+.f64 (+.f64 alpha beta) 2))
(/.f64 1 (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (/.f64 -1 (cbrt.f64 (-.f64 -2 (+.f64 beta alpha)))) 3)
(/.f64 -1 (pow.f64 (cbrt.f64 (-.f64 (-.f64 -2 beta) alpha)) 3))
(pow.f64 (/.f64 1 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3)) 1/3)
(cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (+.f64 alpha beta) 2) 3)))
(cbrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 3)))
(sqrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))
(sqrt.f64 (pow.f64 (+.f64 (+.f64 alpha beta) 2) -2))
(sqrt.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 1 (+.f64 (+.f64 alpha beta) 2))
(/.f64 1 (+.f64 alpha (+.f64 2 beta)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))))
(/.f64 1 (+.f64 (+.f64 alpha beta) 2))
(/.f64 1 (+.f64 alpha (+.f64 2 beta)))
(cbrt.f64 (/.f64 1 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3)))
(cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (+.f64 alpha beta) 2) 3)))
(cbrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 1 (+.f64 (+.f64 alpha beta) 2))
(/.f64 1 (+.f64 alpha (+.f64 2 beta)))
(exp.f64 (neg.f64 (log.f64 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 1 (+.f64 (+.f64 alpha beta) 2))
(/.f64 1 (+.f64 alpha (+.f64 2 beta)))
(exp.f64 (*.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))) -1))
(/.f64 1 (+.f64 (+.f64 alpha beta) 2))
(/.f64 1 (+.f64 alpha (+.f64 2 beta)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 beta (+.f64 alpha 2)))) 1))
(/.f64 1 (+.f64 (+.f64 alpha beta) 2))
(/.f64 1 (+.f64 alpha (+.f64 2 beta)))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 1 (+.f64 (+.f64 alpha beta) 2))
(/.f64 1 (+.f64 alpha (+.f64 2 beta)))

localize46.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(pow.f64 (+.f64 2 beta) 2)
0.0b
(+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta)))
2.3b
(/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))
3.4b
(+.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)))
Compiler

Compiled 142 to 87 computations (38.7% saved)

series26.0ms (0.2%)

Counts
4 → 72
Calls

18 calls:

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

rewrite137.0ms (1%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
016158
1391132
26623132
Stop Event
node limit
Counts
4 → 219
Calls
Call 1
Inputs
(+.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 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))
(+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta)))
(pow.f64 (+.f64 2 beta) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 beta alpha) (-.f64 (/.f64 (+.f64 beta 2) alpha) (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha -2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (+.f64 beta beta) -2) alpha))) (-.f64 1 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha -2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha -2)))) (-.f64 1 (/.f64 (+.f64 (+.f64 beta beta) -2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha -2) (/.f64 (+.f64 (+.f64 beta beta) -2) alpha)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha -2)) (/.f64 beta alpha)) (/.f64 (+.f64 beta 2) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 (+.f64 (+.f64 beta beta) -2) alpha) 2) (/.f64 (-.f64 (+.f64 (+.f64 beta beta) -2) (/.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha)) alpha)) (/.f64 (/.f64 (pow.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) 2) (pow.f64 alpha 4)) (/.f64 (-.f64 (+.f64 (+.f64 beta beta) -2) (/.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha)) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 beta -2) alpha) (-.f64 (/.f64 beta alpha) (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha -2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (+.f64 (+.f64 beta beta) -2) alpha) (exp.f64 (log1p.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha -2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha -2)) (exp.f64 (log1p.f64 (/.f64 (+.f64 (+.f64 beta beta) -2) alpha)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha -2)) (/.f64 (+.f64 beta -2) alpha)) (/.f64 beta alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha -2) (/.f64 (+.f64 (+.f64 beta beta) -2) alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha -2) (/.f64 (+.f64 (+.f64 beta beta) -2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha -2) (/.f64 (+.f64 (+.f64 beta beta) -2) alpha))) (sqrt.f64 (fma.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha -2) (/.f64 (+.f64 (+.f64 beta beta) -2) alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha 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(pow.f64 (+.f64 beta 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 beta 2) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (+.f64 beta 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (+.f64 beta 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (+.f64 beta 2) 2)))))))

simplify260.0ms (1.8%)

Algorithm
egg-herbie
Rules
920×fma-def
752×associate-*r*
746×associate-*l*
622×+-commutative
584×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
060115765
1178413699
Stop Event
node limit
Counts
291 → 409
Calls
Call 1
Inputs
(-.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 (*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 (*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 (*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(+.f64 (*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))) (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 (*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(+.f64 (*.f64 -1 (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2)))))) (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2)))))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2)))))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 2 (/.f64 1 alpha)))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(/.f64 4 (pow.f64 alpha 2))
(+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (*.f64 6 (/.f64 beta (pow.f64 alpha 2))))
(+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(+.f64 (*.f64 6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(+.f64 (*.f64 6 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(+.f64 (*.f64 6 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(+.f64 (*.f64 6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(+.f64 (*.f64 6 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(+.f64 (*.f64 6 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
4
(+.f64 (*.f64 6 beta) 4)
(+.f64 (*.f64 6 beta) (+.f64 4 (*.f64 2 (pow.f64 beta 2))))
(+.f64 (*.f64 6 beta) (+.f64 4 (*.f64 2 (pow.f64 beta 2))))
(*.f64 2 (pow.f64 beta 2))
(+.f64 (*.f64 6 beta) (*.f64 2 (pow.f64 beta 2)))
(+.f64 (*.f64 6 beta) (+.f64 4 (*.f64 2 (pow.f64 beta 2))))
(+.f64 (*.f64 6 beta) (+.f64 4 (*.f64 2 (pow.f64 beta 2))))
(*.f64 2 (pow.f64 beta 2))
(+.f64 (*.f64 6 beta) (*.f64 2 (pow.f64 beta 2)))
(+.f64 (*.f64 6 beta) (+.f64 4 (*.f64 2 (pow.f64 beta 2))))
(+.f64 (*.f64 6 beta) (+.f64 4 (*.f64 2 (pow.f64 beta 2))))
4
(+.f64 4 (*.f64 4 beta))
(+.f64 4 (+.f64 (*.f64 4 beta) (pow.f64 beta 2)))
(+.f64 4 (+.f64 (*.f64 4 beta) (pow.f64 beta 2)))
(pow.f64 beta 2)
(+.f64 (*.f64 4 beta) (pow.f64 beta 2))
(+.f64 4 (+.f64 (*.f64 4 beta) (pow.f64 beta 2)))
(+.f64 4 (+.f64 (*.f64 4 beta) (pow.f64 beta 2)))
(pow.f64 beta 2)
(+.f64 (*.f64 4 beta) (pow.f64 beta 2))
(+.f64 4 (+.f64 (*.f64 4 beta) (pow.f64 beta 2)))
(+.f64 4 (+.f64 (*.f64 4 beta) (pow.f64 beta 2)))
(-.f64 (/.f64 beta alpha) (-.f64 (/.f64 (+.f64 beta 2) alpha) (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha -2))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (+.f64 beta beta) -2) alpha))) (-.f64 1 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha -2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha -2)))) (-.f64 1 (/.f64 (+.f64 (+.f64 beta beta) -2) alpha)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha -2) (/.f64 (+.f64 (+.f64 beta beta) -2) alpha)))) 1)
(-.f64 (+.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha -2)) (/.f64 beta alpha)) (/.f64 (+.f64 beta 2) alpha))
(-.f64 (/.f64 (pow.f64 (/.f64 (+.f64 (+.f64 beta beta) -2) alpha) 2) (/.f64 (-.f64 (+.f64 (+.f64 beta beta) -2) (/.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha)) alpha)) (/.f64 (/.f64 (pow.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) 2) (pow.f64 alpha 4)) (/.f64 (-.f64 (+.f64 (+.f64 beta beta) -2) (/.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha)) alpha)))
(-.f64 (/.f64 (+.f64 beta -2) alpha) (-.f64 (/.f64 beta alpha) (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha -2))))
(-.f64 (+.f64 (/.f64 (+.f64 (+.f64 beta beta) -2) alpha) (exp.f64 (log1p.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha -2))))) 1)
(-.f64 (+.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha -2)) (exp.f64 (log1p.f64 (/.f64 (+.f64 (+.f64 beta beta) -2) alpha)))) 1)
(-.f64 (+.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha -2)) (/.f64 (+.f64 beta -2) alpha)) (/.f64 beta alpha))
(*.f64 (fma.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha -2) (/.f64 (+.f64 (+.f64 beta beta) -2) alpha)) 1)
(*.f64 1 (fma.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha -2) (/.f64 (+.f64 (+.f64 beta beta) -2) alpha)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha -2) (/.f64 (+.f64 (+.f64 beta beta) -2) alpha))) (sqrt.f64 (fma.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha -2) (/.f64 (+.f64 (+.f64 beta beta) -2) alpha))))
(*.f64 (cbrt.f64 (fma.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha -2) (/.f64 (+.f64 (+.f64 beta beta) -2) alpha))) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha -2) (/.f64 (+.f64 (+.f64 beta beta) -2) alpha))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha -2) (/.f64 (+.f64 (+.f64 beta beta) -2) alpha))) 2) (cbrt.f64 (fma.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha -2) (/.f64 (+.f64 (+.f64 beta beta) -2) alpha))))
(*.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (+.f64 beta beta) -2) alpha) 2) (/.f64 (pow.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) 2) (pow.f64 alpha 4))) (/.f64 1 (/.f64 (-.f64 (+.f64 (+.f64 beta beta) -2) (/.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha)) alpha)))
(*.f64 (+.f64 (pow.f64 (/.f64 (+.f64 (+.f64 beta beta) -2) alpha) 3) (pow.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha -2)) 3)) (/.f64 1 (+.f64 (/.f64 (pow.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) 2) (pow.f64 alpha 4)) (-.f64 (pow.f64 (/.f64 (+.f64 (+.f64 beta beta) -2) alpha) 2) (/.f64 (*.f64 (+.f64 (+.f64 beta beta) -2) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2)))) (pow.f64 alpha 3))))))
(*.f64 (fma.f64 (+.f64 (+.f64 beta beta) -2) (*.f64 alpha alpha) (*.f64 alpha (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))))) (/.f64 1 (pow.f64 alpha 3)))
(/.f64 1 (/.f64 (/.f64 (-.f64 (+.f64 (+.f64 beta beta) -2) (/.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha)) alpha) (-.f64 (pow.f64 (/.f64 (+.f64 (+.f64 beta beta) -2) alpha) 2) (/.f64 (pow.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) 2) (pow.f64 alpha 4)))))
(/.f64 1 (/.f64 (+.f64 (/.f64 (pow.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) 2) (pow.f64 alpha 4)) (-.f64 (pow.f64 (/.f64 (+.f64 (+.f64 beta beta) -2) alpha) 2) (/.f64 (*.f64 (+.f64 (+.f64 beta beta) -2) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2)))) (pow.f64 alpha 3)))) (+.f64 (pow.f64 (/.f64 (+.f64 (+.f64 beta beta) -2) alpha) 3) (pow.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha -2)) 3))))
(/.f64 1 (/.f64 (pow.f64 alpha 3) (fma.f64 (+.f64 (+.f64 beta beta) -2) (*.f64 alpha alpha) (*.f64 alpha (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (+.f64 beta beta) -2) alpha) 2) (/.f64 (pow.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) 2) (pow.f64 alpha 4))) (/.f64 (-.f64 (+.f64 (+.f64 beta beta) -2) (/.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha)) alpha))
(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 (+.f64 beta beta) -2) alpha) 3) (pow.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha -2)) 3)) (+.f64 (/.f64 (pow.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) 2) (pow.f64 alpha 4)) (-.f64 (pow.f64 (/.f64 (+.f64 (+.f64 beta beta) -2) alpha) 2) (/.f64 (*.f64 (+.f64 (+.f64 beta beta) -2) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2)))) (pow.f64 alpha 3)))))
(/.f64 (fma.f64 (+.f64 (+.f64 beta beta) -2) (*.f64 alpha alpha) (*.f64 alpha (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))))) (pow.f64 alpha 3))
(/.f64 (/.f64 (fma.f64 (+.f64 (+.f64 beta beta) -2) (*.f64 alpha alpha) (*.f64 alpha (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))))) alpha) (*.f64 alpha alpha))
(/.f64 (-.f64 (/.f64 (pow.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) 2) (pow.f64 alpha 4)) (pow.f64 (/.f64 (+.f64 (+.f64 beta beta) -2) alpha) 2)) (-.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha -2)) (/.f64 (+.f64 (+.f64 beta beta) -2) alpha)))
(/.f64 (+.f64 alpha (*.f64 (+.f64 (+.f64 beta beta) -2) (/.f64 alpha (/.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha)))) (*.f64 alpha (/.f64 alpha (/.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha))))
(/.f64 (+.f64 (*.f64 (+.f64 (+.f64 beta beta) -2) alpha) (*.f64 alpha (/.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha))) (*.f64 alpha alpha))
(/.f64 (+.f64 (*.f64 (+.f64 (+.f64 beta beta) -2) (*.f64 alpha (neg.f64 alpha))) (*.f64 alpha (neg.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2)))))) (*.f64 alpha (*.f64 alpha (neg.f64 alpha))))
(/.f64 (+.f64 (*.f64 alpha alpha) (*.f64 (/.f64 alpha (+.f64 (+.f64 beta beta) -2)) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))))) (*.f64 (/.f64 alpha (+.f64 (+.f64 beta beta) -2)) (*.f64 alpha alpha)))
(/.f64 (+.f64 (/.f64 alpha (/.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha)) (*.f64 (/.f64 alpha (+.f64 (+.f64 beta beta) -2)) 1)) (*.f64 (/.f64 alpha (+.f64 (+.f64 beta beta) -2)) (/.f64 alpha (/.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha))))
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(-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2)))) (-.f64 (/.f64 (pow.f64 (*.f64 beta (+.f64 beta 2)) 2) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2)))) (fma.f64 beta (+.f64 beta 2) (*.f64 beta (+.f64 beta 2)))))
(-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2)))) (-.f64 (/.f64 (pow.f64 (*.f64 beta (+.f64 beta 2)) 2) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2)))) (fma.f64 (*.f64 beta (+.f64 beta 2)) 1 (*.f64 beta (+.f64 beta 2)))))
(-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2)))) (-.f64 (/.f64 (pow.f64 (*.f64 beta (+.f64 beta 2)) 2) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2)))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 beta (+.f64 beta 2)))) (sqrt.f64 (*.f64 beta (+.f64 beta 2))) (*.f64 beta (+.f64 beta 2)))))
(-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2)))) (-.f64 (/.f64 (pow.f64 (*.f64 beta (+.f64 beta 2)) 2) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 beta (+.f64 beta 2)))) (pow.f64 (cbrt.f64 (*.f64 beta (+.f64 beta 2))) 2) (*.f64 beta (+.f64 beta 2)))))
(-.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (exp.f64 (log1p.f64 (*.f64 beta (+.f64 beta 2))))) 1)
(-.f64 (+.f64 (*.f64 beta (+.f64 beta 2)) (exp.f64 (log1p.f64 (pow.f64 (+.f64 beta 2) 2)))) 1)
(*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2)))
(*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) 1)
(*.f64 1 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))))
(*.f64 (hypot.f64 (+.f64 beta 2) (sqrt.f64 (*.f64 beta (+.f64 beta 2)))) (hypot.f64 (+.f64 beta 2) (sqrt.f64 (*.f64 beta (+.f64 beta 2)))))
(*.f64 (cbrt.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2)))) (cbrt.f64 (pow.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) 2)) (cbrt.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2)))))
(*.f64 (pow.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) 2) (/.f64 1 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2)))))
(*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 6) (pow.f64 (*.f64 beta (+.f64 beta 2)) 3)) (/.f64 1 (-.f64 (pow.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) 2) (*.f64 (pow.f64 (+.f64 beta 2) 3) beta))))
(*.f64 (+.f64 beta (+.f64 2 (sqrt.f64 (*.f64 beta (+.f64 beta 2))))) (-.f64 (+.f64 beta 2) (sqrt.f64 (*.f64 beta (+.f64 beta 2)))))
(/.f64 1 (/.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) 2)))
(/.f64 1 (/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) 2) (*.f64 (pow.f64 (+.f64 beta 2) 3) beta)) (+.f64 (pow.f64 (+.f64 beta 2) 6) (pow.f64 (*.f64 beta (+.f64 beta 2)) 3))))
(/.f64 (pow.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) 2) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 6) (pow.f64 (*.f64 beta (+.f64 beta 2)) 3)) (-.f64 (pow.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) 2) (*.f64 (pow.f64 (+.f64 beta 2) 3) beta)))
(/.f64 (neg.f64 (pow.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) 2)) (neg.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 beta 2) 6) (pow.f64 (*.f64 beta (+.f64 beta 2)) 3))) (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) 2) (*.f64 (pow.f64 (+.f64 beta 2) 3) beta))))
(/.f64 (-.f64 (pow.f64 (*.f64 beta (+.f64 beta 2)) 2) (pow.f64 (+.f64 beta 2) 4)) (-.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))
(/.f64 (-.f64 (pow.f64 (+.f64 beta 2) 6) (pow.f64 (*.f64 beta (+.f64 beta 2)) 3)) (+.f64 (pow.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) 2) (*.f64 (pow.f64 (+.f64 beta 2) 3) beta)))
(pow.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) 1)
(pow.f64 (hypot.f64 (+.f64 beta 2) (sqrt.f64 (*.f64 beta (+.f64 beta 2)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2)))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) 2))
(log.f64 (exp.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2)))))
(log.f64 (/.f64 (exp.f64 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (exp.f64 (+.f64 beta 2)) beta)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) 3))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2)))))
(exp.f64 (log.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2)))))
(fma.f64 beta (+.f64 beta 2) (pow.f64 (+.f64 beta 2) 2))
(fma.f64 (+.f64 beta 2) beta (pow.f64 (+.f64 beta 2) 2))
(fma.f64 (+.f64 beta 2) (+.f64 beta 2) (*.f64 beta (+.f64 beta 2)))
(fma.f64 1 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2)))
(fma.f64 1 (*.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))
(fma.f64 (sqrt.f64 (*.f64 beta (+.f64 beta 2))) (sqrt.f64 (*.f64 beta (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 beta (+.f64 beta 2))) 2) (cbrt.f64 (*.f64 beta (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 beta 2) 4)) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (*.f64 beta (+.f64 beta 2)))
(+.f64 (*.f64 beta (+.f64 beta 2)) (*.f64 (+.f64 beta 2) 2))
(+.f64 (*.f64 beta (+.f64 beta 2)) (*.f64 2 (+.f64 beta 2)))
(+.f64 (*.f64 beta beta) (+.f64 (*.f64 beta 2) (*.f64 (+.f64 beta 2) 2)))
(+.f64 (*.f64 beta beta) (+.f64 (*.f64 beta 2) (*.f64 2 (+.f64 beta 2))))
(+.f64 (*.f64 beta 2) (+.f64 (*.f64 beta beta) (*.f64 (+.f64 beta 2) 2)))
(+.f64 (*.f64 beta 2) (+.f64 (*.f64 beta beta) (*.f64 2 (+.f64 beta 2))))
(+.f64 (*.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2)))
(+.f64 (*.f64 2 (+.f64 beta 2)) (*.f64 beta (+.f64 beta 2)))
(+.f64 (*.f64 (*.f64 beta 2) 1) (+.f64 (*.f64 (*.f64 beta beta) 1) (*.f64 (+.f64 beta 2) 2)))
(+.f64 (*.f64 (*.f64 beta 2) 1) (+.f64 (*.f64 (*.f64 beta beta) 1) (*.f64 2 (+.f64 beta 2))))
(+.f64 (+.f64 (*.f64 (+.f64 beta 2) 2) (*.f64 beta beta)) (*.f64 beta 2))
(+.f64 (+.f64 (*.f64 (+.f64 beta 2) 2) (*.f64 beta 2)) (*.f64 beta beta))
(+.f64 (+.f64 (*.f64 (+.f64 beta 2) 2) (*.f64 (*.f64 beta 2) 1)) (*.f64 (*.f64 beta beta) 1))
(+.f64 (+.f64 (*.f64 2 (+.f64 beta 2)) (*.f64 beta beta)) (*.f64 beta 2))
(+.f64 (+.f64 (*.f64 2 (+.f64 beta 2)) (*.f64 beta 2)) (*.f64 beta beta))
(+.f64 (+.f64 (*.f64 2 (+.f64 beta 2)) (*.f64 (*.f64 beta 2) 1)) (*.f64 (*.f64 beta beta) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 beta 2) 2))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 beta (+.f64 beta 2)))) (-.f64 1 (*.f64 (+.f64 beta 2) 2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 beta (+.f64 beta 2)))) (-.f64 1 (*.f64 2 (+.f64 beta 2))))
(-.f64 (+.f64 (*.f64 (+.f64 beta 2) 2) (exp.f64 (log1p.f64 (*.f64 beta (+.f64 beta 2))))) 1)
(-.f64 (+.f64 (*.f64 2 (+.f64 beta 2)) (exp.f64 (log1p.f64 (*.f64 beta (+.f64 beta 2))))) 1)
(*.f64 (+.f64 beta 2) (+.f64 beta 2))
(*.f64 (pow.f64 (+.f64 beta 2) 2) 1)
(*.f64 1 (pow.f64 (+.f64 beta 2) 2))
(*.f64 (sqrt.f64 (+.f64 beta 2)) (*.f64 (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 beta 2) 4)) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (cbrt.f64 (pow.f64 (+.f64 beta 2) 4)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (*.f64 (cbrt.f64 (+.f64 beta 2)) (+.f64 beta 2)))
(*.f64 (*.f64 (+.f64 beta 2) (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)))
(*.f64 (*.f64 (+.f64 beta 2) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (cbrt.f64 (+.f64 beta 2)))
(/.f64 (*.f64 (+.f64 4 (*.f64 beta beta)) (+.f64 4 (*.f64 beta beta))) (pow.f64 (+.f64 beta 2) 2))
(/.f64 (*.f64 (+.f64 8 (pow.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta -2))) (+.f64 4 (*.f64 beta (+.f64 beta -2)))))
(/.f64 (*.f64 (+.f64 beta 2) (+.f64 4 (*.f64 beta beta))) (+.f64 beta 2))
(/.f64 (*.f64 (+.f64 beta 2) (+.f64 8 (pow.f64 beta 3))) (+.f64 4 (*.f64 beta (+.f64 beta -2))))
(/.f64 (*.f64 (+.f64 4 (*.f64 beta beta)) (+.f64 beta 2)) (+.f64 beta 2))
(/.f64 (*.f64 (+.f64 8 (pow.f64 beta 3)) (+.f64 beta 2)) (+.f64 4 (*.f64 beta (+.f64 beta -2))))
(/.f64 (*.f64 (+.f64 4 (*.f64 beta beta)) (+.f64 8 (pow.f64 beta 3))) (*.f64 (+.f64 beta 2) (+.f64 4 (*.f64 beta (+.f64 beta -2)))))
(/.f64 (*.f64 (+.f64 8 (pow.f64 beta 3)) (+.f64 4 (*.f64 beta beta))) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta -2))) (+.f64 beta 2)))
(sqrt.f64 (pow.f64 (+.f64 beta 2) 4))
(log.f64 (exp.f64 (pow.f64 (+.f64 beta 2) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 beta 2) 2))))
(cbrt.f64 (pow.f64 (+.f64 beta 2) 6))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 beta 2) 2)))
(exp.f64 (*.f64 2 (log.f64 (+.f64 beta 2))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (+.f64 beta 2))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 beta 2) 2)))
Outputs
(-.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 2 alpha))
(+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 -2 alpha))
(-.f64 (+.f64 (*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (fma.f64 beta (-.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha)) (/.f64 4 (*.f64 alpha alpha))) (/.f64 2 alpha))
(+.f64 (fma.f64 beta (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha)) (/.f64 4 (*.f64 alpha alpha))) (/.f64 -2 alpha))
(-.f64 (+.f64 (*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (fma.f64 beta (-.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha)) (fma.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 4 (*.f64 alpha alpha)))) (/.f64 2 alpha))
(+.f64 (fma.f64 beta (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha)) (fma.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 4 (*.f64 alpha alpha)))) (/.f64 -2 alpha))
(-.f64 (+.f64 (*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (fma.f64 beta (-.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha)) (fma.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 4 (*.f64 alpha alpha)))) (/.f64 2 alpha))
(+.f64 (fma.f64 beta (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha)) (fma.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 4 (*.f64 alpha alpha)))) (/.f64 -2 alpha))
(*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(*.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))
(+.f64 (*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))) (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(fma.f64 beta (-.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha)) (*.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))))
(fma.f64 beta (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha)) (*.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))))
(-.f64 (+.f64 (*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (fma.f64 beta (-.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha)) (fma.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 4 (*.f64 alpha alpha)))) (/.f64 2 alpha))
(+.f64 (fma.f64 beta (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha)) (fma.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 4 (*.f64 alpha alpha)))) (/.f64 -2 alpha))
(-.f64 (+.f64 (*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (fma.f64 beta (-.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha)) (fma.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 4 (*.f64 alpha alpha)))) (/.f64 2 alpha))
(+.f64 (fma.f64 beta (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha)) (fma.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 4 (*.f64 alpha alpha)))) (/.f64 -2 alpha))
(*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(*.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))
(+.f64 (*.f64 -1 (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2)))))) (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(fma.f64 -1 (*.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (*.f64 alpha alpha)))) (*.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))))
(-.f64 (*.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (*.f64 beta (+.f64 (/.f64 2 alpha) (/.f64 -6 (*.f64 alpha alpha)))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2)))))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (fma.f64 -1 (*.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (*.f64 alpha alpha)))) (fma.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 4 (*.f64 alpha alpha)))) (/.f64 2 alpha))
(fma.f64 (neg.f64 beta) (+.f64 (/.f64 2 alpha) (/.f64 -6 (*.f64 alpha alpha))) (+.f64 (fma.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 4 (*.f64 alpha alpha))) (/.f64 -2 alpha)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2)))))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (fma.f64 -1 (*.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (*.f64 alpha alpha)))) (fma.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 4 (*.f64 alpha alpha)))) (/.f64 2 alpha))
(fma.f64 (neg.f64 beta) (+.f64 (/.f64 2 alpha) (/.f64 -6 (*.f64 alpha alpha))) (+.f64 (fma.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 4 (*.f64 alpha alpha))) (/.f64 -2 alpha)))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (*.f64 alpha alpha))
(*.f64 (+.f64 2 beta) (*.f64 (fma.f64 2 beta 2) (pow.f64 alpha -2)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(fma.f64 -1 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) (+.f64 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))))
(-.f64 (+.f64 (*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 2 beta)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))) (/.f64 (fma.f64 2 beta 2) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(fma.f64 -1 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) (+.f64 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))))
(-.f64 (+.f64 (*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 2 beta)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))) (/.f64 (fma.f64 2 beta 2) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(fma.f64 -1 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) (+.f64 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))))
(-.f64 (+.f64 (*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 2 beta)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))) (/.f64 (fma.f64 2 beta 2) alpha))
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(neg.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha))
(/.f64 (neg.f64 (fma.f64 2 beta 2)) alpha)
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(fma.f64 -1 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) (+.f64 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))))
(-.f64 (+.f64 (*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 2 beta)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))) (/.f64 (fma.f64 2 beta 2) alpha))
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(-.f64 (+.f64 (*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 2 beta)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))) (/.f64 (fma.f64 2 beta 2) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
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(-.f64 (+.f64 (*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 2 beta)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))) (/.f64 (fma.f64 2 beta 2) alpha))
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(neg.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha))
(/.f64 (neg.f64 (fma.f64 2 beta 2)) alpha)
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(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (*.f64 alpha alpha))
(+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (*.f64 6 (/.f64 beta (pow.f64 alpha 2))))
(+.f64 (/.f64 4 (*.f64 alpha alpha)) (*.f64 6 (/.f64 beta (*.f64 alpha alpha))))
(fma.f64 6 (/.f64 beta (*.f64 alpha alpha)) (/.f64 4 (*.f64 alpha alpha)))
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(fma.f64 6 (/.f64 beta (*.f64 alpha alpha)) (fma.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 4 (*.f64 alpha alpha))))
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(*.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))
(+.f64 (*.f64 6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(fma.f64 6 (/.f64 beta (*.f64 alpha alpha)) (*.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))))
(fma.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (*.f64 6 (/.f64 beta (*.f64 alpha alpha))))
(+.f64 (*.f64 6 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(fma.f64 6 (/.f64 beta (*.f64 alpha alpha)) (fma.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 4 (*.f64 alpha alpha))))
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(fma.f64 6 (/.f64 beta (*.f64 alpha alpha)) (fma.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 4 (*.f64 alpha alpha))))
(*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(*.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))
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(fma.f64 6 (/.f64 beta (*.f64 alpha alpha)) (*.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))))
(fma.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (*.f64 6 (/.f64 beta (*.f64 alpha alpha))))
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(fma.f64 6 (/.f64 beta (*.f64 alpha alpha)) (fma.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 4 (*.f64 alpha alpha))))
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(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (*.f64 alpha alpha))
(*.f64 (+.f64 2 beta) (*.f64 (fma.f64 2 beta 2) (pow.f64 alpha -2)))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (*.f64 alpha alpha))
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(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (*.f64 alpha alpha))
(*.f64 (+.f64 2 beta) (*.f64 (fma.f64 2 beta 2) (pow.f64 alpha -2)))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (*.f64 alpha alpha))
(*.f64 (+.f64 2 beta) (*.f64 (fma.f64 2 beta 2) (pow.f64 alpha -2)))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (*.f64 alpha alpha))
(*.f64 (+.f64 2 beta) (*.f64 (fma.f64 2 beta 2) (pow.f64 alpha -2)))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (*.f64 alpha alpha))
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(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
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(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
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(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (*.f64 alpha alpha))
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(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (*.f64 alpha alpha))
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(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (*.f64 alpha alpha))
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(*.f64 (+.f64 2 beta) (*.f64 (fma.f64 2 beta 2) (pow.f64 alpha -2)))
4
(+.f64 (*.f64 6 beta) 4)
(fma.f64 6 beta 4)
(fma.f64 beta 6 4)
(+.f64 (*.f64 6 beta) (+.f64 4 (*.f64 2 (pow.f64 beta 2))))
(+.f64 (fma.f64 6 beta 4) (*.f64 2 (*.f64 beta beta)))
(fma.f64 beta 6 (fma.f64 2 (*.f64 beta beta) 4))
(+.f64 (*.f64 6 beta) (+.f64 4 (*.f64 2 (pow.f64 beta 2))))
(+.f64 (fma.f64 6 beta 4) (*.f64 2 (*.f64 beta beta)))
(fma.f64 beta 6 (fma.f64 2 (*.f64 beta beta) 4))
(*.f64 2 (pow.f64 beta 2))
(*.f64 2 (*.f64 beta beta))
(+.f64 (*.f64 6 beta) (*.f64 2 (pow.f64 beta 2)))
(fma.f64 6 beta (*.f64 2 (*.f64 beta beta)))
(fma.f64 2 (*.f64 beta beta) (*.f64 beta 6))
(+.f64 (*.f64 6 beta) (+.f64 4 (*.f64 2 (pow.f64 beta 2))))
(+.f64 (fma.f64 6 beta 4) (*.f64 2 (*.f64 beta beta)))
(fma.f64 beta 6 (fma.f64 2 (*.f64 beta beta) 4))
(+.f64 (*.f64 6 beta) (+.f64 4 (*.f64 2 (pow.f64 beta 2))))
(+.f64 (fma.f64 6 beta 4) (*.f64 2 (*.f64 beta beta)))
(fma.f64 beta 6 (fma.f64 2 (*.f64 beta beta) 4))
(*.f64 2 (pow.f64 beta 2))
(*.f64 2 (*.f64 beta beta))
(+.f64 (*.f64 6 beta) (*.f64 2 (pow.f64 beta 2)))
(fma.f64 6 beta (*.f64 2 (*.f64 beta beta)))
(fma.f64 2 (*.f64 beta beta) (*.f64 beta 6))
(+.f64 (*.f64 6 beta) (+.f64 4 (*.f64 2 (pow.f64 beta 2))))
(+.f64 (fma.f64 6 beta 4) (*.f64 2 (*.f64 beta beta)))
(fma.f64 beta 6 (fma.f64 2 (*.f64 beta beta) 4))
(+.f64 (*.f64 6 beta) (+.f64 4 (*.f64 2 (pow.f64 beta 2))))
(+.f64 (fma.f64 6 beta 4) (*.f64 2 (*.f64 beta beta)))
(fma.f64 beta 6 (fma.f64 2 (*.f64 beta beta) 4))
4
(+.f64 4 (*.f64 4 beta))
(fma.f64 4 beta 4)
(+.f64 4 (+.f64 (*.f64 4 beta) (pow.f64 beta 2)))
(+.f64 4 (fma.f64 4 beta (*.f64 beta beta)))
(+.f64 4 (*.f64 beta (+.f64 beta 4)))
(+.f64 4 (+.f64 (*.f64 4 beta) (pow.f64 beta 2)))
(+.f64 4 (fma.f64 4 beta (*.f64 beta beta)))
(+.f64 4 (*.f64 beta (+.f64 beta 4)))
(pow.f64 beta 2)
(*.f64 beta beta)
(+.f64 (*.f64 4 beta) (pow.f64 beta 2))
(fma.f64 4 beta (*.f64 beta beta))
(*.f64 beta (+.f64 beta 4))
(+.f64 4 (+.f64 (*.f64 4 beta) (pow.f64 beta 2)))
(+.f64 4 (fma.f64 4 beta (*.f64 beta beta)))
(+.f64 4 (*.f64 beta (+.f64 beta 4)))
(+.f64 4 (+.f64 (*.f64 4 beta) (pow.f64 beta 2)))
(+.f64 4 (fma.f64 4 beta (*.f64 beta beta)))
(+.f64 4 (*.f64 beta (+.f64 beta 4)))
(pow.f64 beta 2)
(*.f64 beta beta)
(+.f64 (*.f64 4 beta) (pow.f64 beta 2))
(fma.f64 4 beta (*.f64 beta beta))
(*.f64 beta (+.f64 beta 4))
(+.f64 4 (+.f64 (*.f64 4 beta) (pow.f64 beta 2)))
(+.f64 4 (fma.f64 4 beta (*.f64 beta beta)))
(+.f64 4 (*.f64 beta (+.f64 beta 4)))
(+.f64 4 (+.f64 (*.f64 4 beta) (pow.f64 beta 2)))
(+.f64 4 (fma.f64 4 beta (*.f64 beta beta)))
(+.f64 4 (*.f64 beta (+.f64 beta 4)))
(-.f64 (/.f64 beta alpha) (-.f64 (/.f64 (+.f64 beta 2) alpha) (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha -2))))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha -2)))) (-.f64 1 (/.f64 (+.f64 (+.f64 beta beta) -2) alpha)))
(fma.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2) (/.f64 (+.f64 beta (+.f64 beta -2)) alpha))
(fma.f64 (+.f64 2 beta) (*.f64 (fma.f64 2 beta 2) (pow.f64 alpha -2)) (/.f64 (fma.f64 2 beta -2) alpha))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha -2) (/.f64 (+.f64 (+.f64 beta beta) -2) alpha)))) 1)
(fma.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2) (/.f64 (+.f64 beta (+.f64 beta -2)) alpha))
(fma.f64 (+.f64 2 beta) (*.f64 (fma.f64 2 beta 2) (pow.f64 alpha -2)) (/.f64 (fma.f64 2 beta -2) alpha))
(-.f64 (+.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha -2)) (/.f64 beta alpha)) (/.f64 (+.f64 beta 2) alpha))
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(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha) 2) (/.f64 (pow.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) 2) (pow.f64 alpha 4))) (/.f64 (-.f64 (+.f64 beta (+.f64 beta -2)) (/.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) alpha)) alpha))
(*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 2 beta -2) alpha) 2) (pow.f64 (*.f64 (+.f64 2 beta) (*.f64 (fma.f64 2 beta 2) (pow.f64 alpha -2))) 2)) (/.f64 alpha (-.f64 (fma.f64 2 beta -2) (/.f64 (+.f64 2 beta) (/.f64 alpha (fma.f64 2 beta 2))))))
(-.f64 (/.f64 (+.f64 beta -2) alpha) (-.f64 (/.f64 beta alpha) (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha -2))))
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(-.f64 (fma.f64 (+.f64 2 beta) (*.f64 (fma.f64 2 beta 2) (pow.f64 alpha -2)) (/.f64 (+.f64 beta -2) alpha)) (/.f64 beta alpha))
(-.f64 (+.f64 (/.f64 (+.f64 (+.f64 beta beta) -2) alpha) (exp.f64 (log1p.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha -2))))) 1)
(fma.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2) (/.f64 (+.f64 beta (+.f64 beta -2)) alpha))
(fma.f64 (+.f64 2 beta) (*.f64 (fma.f64 2 beta 2) (pow.f64 alpha -2)) (/.f64 (fma.f64 2 beta -2) alpha))
(-.f64 (+.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha -2)) (exp.f64 (log1p.f64 (/.f64 (+.f64 (+.f64 beta beta) -2) alpha)))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha))) 1) (*.f64 (*.f64 (pow.f64 alpha -2) (+.f64 2 beta)) (+.f64 2 (+.f64 beta beta))))
(fma.f64 (+.f64 2 beta) (*.f64 (fma.f64 2 beta 2) (pow.f64 alpha -2)) (expm1.f64 (log1p.f64 (/.f64 (fma.f64 2 beta -2) alpha))))
(-.f64 (+.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha -2)) (/.f64 (+.f64 beta -2) alpha)) (/.f64 beta alpha))
(+.f64 (-.f64 (/.f64 (+.f64 beta -2) alpha) (/.f64 beta alpha)) (*.f64 (*.f64 (pow.f64 alpha -2) (+.f64 2 beta)) (+.f64 2 (+.f64 beta beta))))
(-.f64 (fma.f64 (+.f64 2 beta) (*.f64 (fma.f64 2 beta 2) (pow.f64 alpha -2)) (/.f64 (+.f64 beta -2) alpha)) (/.f64 beta alpha))
(*.f64 (fma.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha -2) (/.f64 (+.f64 (+.f64 beta beta) -2) alpha)) 1)
(fma.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2) (/.f64 (+.f64 beta (+.f64 beta -2)) alpha))
(fma.f64 (+.f64 2 beta) (*.f64 (fma.f64 2 beta 2) (pow.f64 alpha -2)) (/.f64 (fma.f64 2 beta -2) alpha))
(*.f64 1 (fma.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha -2) (/.f64 (+.f64 (+.f64 beta beta) -2) alpha)))
(fma.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2) (/.f64 (+.f64 beta (+.f64 beta -2)) alpha))
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(log1p.f64 (expm1.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2)))))
(*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))
(*.f64 (+.f64 2 beta) (fma.f64 2 beta 2))
(fma.f64 beta (+.f64 beta 2) (pow.f64 (+.f64 beta 2) 2))
(*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))
(*.f64 (+.f64 2 beta) (fma.f64 2 beta 2))
(fma.f64 (+.f64 beta 2) beta (pow.f64 (+.f64 beta 2) 2))
(*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))
(*.f64 (+.f64 2 beta) (fma.f64 2 beta 2))
(fma.f64 (+.f64 beta 2) (+.f64 beta 2) (*.f64 beta (+.f64 beta 2)))
(*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))
(*.f64 (+.f64 2 beta) (fma.f64 2 beta 2))
(fma.f64 1 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2)))
(*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))
(*.f64 (+.f64 2 beta) (fma.f64 2 beta 2))
(fma.f64 1 (*.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))
(*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))
(*.f64 (+.f64 2 beta) (fma.f64 2 beta 2))
(fma.f64 (sqrt.f64 (*.f64 beta (+.f64 beta 2))) (sqrt.f64 (*.f64 beta (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2))
(*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))
(*.f64 (+.f64 2 beta) (fma.f64 2 beta 2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 beta (+.f64 beta 2))) 2) (cbrt.f64 (*.f64 beta (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2))
(*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))
(*.f64 (+.f64 2 beta) (fma.f64 2 beta 2))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 beta 2) 4)) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (*.f64 beta (+.f64 beta 2)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 2 beta) 4)) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (*.f64 beta (+.f64 2 beta)))
(+.f64 (*.f64 beta (+.f64 beta 2)) (*.f64 (+.f64 beta 2) 2))
(pow.f64 (+.f64 2 beta) 2)
(+.f64 (*.f64 beta (+.f64 beta 2)) (*.f64 2 (+.f64 beta 2)))
(pow.f64 (+.f64 2 beta) 2)
(+.f64 (*.f64 beta beta) (+.f64 (*.f64 beta 2) (*.f64 (+.f64 beta 2) 2)))
(pow.f64 (+.f64 2 beta) 2)
(+.f64 (*.f64 beta beta) (+.f64 (*.f64 beta 2) (*.f64 2 (+.f64 beta 2))))
(pow.f64 (+.f64 2 beta) 2)
(+.f64 (*.f64 beta 2) (+.f64 (*.f64 beta beta) (*.f64 (+.f64 beta 2) 2)))
(pow.f64 (+.f64 2 beta) 2)
(+.f64 (*.f64 beta 2) (+.f64 (*.f64 beta beta) (*.f64 2 (+.f64 beta 2))))
(pow.f64 (+.f64 2 beta) 2)
(+.f64 (*.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2)))
(pow.f64 (+.f64 2 beta) 2)
(+.f64 (*.f64 2 (+.f64 beta 2)) (*.f64 beta (+.f64 beta 2)))
(pow.f64 (+.f64 2 beta) 2)
(+.f64 (*.f64 (*.f64 beta 2) 1) (+.f64 (*.f64 (*.f64 beta beta) 1) (*.f64 (+.f64 beta 2) 2)))
(pow.f64 (+.f64 2 beta) 2)
(+.f64 (*.f64 (*.f64 beta 2) 1) (+.f64 (*.f64 (*.f64 beta beta) 1) (*.f64 2 (+.f64 beta 2))))
(pow.f64 (+.f64 2 beta) 2)
(+.f64 (+.f64 (*.f64 (+.f64 beta 2) 2) (*.f64 beta beta)) (*.f64 beta 2))
(pow.f64 (+.f64 2 beta) 2)
(+.f64 (+.f64 (*.f64 (+.f64 beta 2) 2) (*.f64 beta 2)) (*.f64 beta beta))
(pow.f64 (+.f64 2 beta) 2)
(+.f64 (+.f64 (*.f64 (+.f64 beta 2) 2) (*.f64 (*.f64 beta 2) 1)) (*.f64 (*.f64 beta beta) 1))
(pow.f64 (+.f64 2 beta) 2)
(+.f64 (+.f64 (*.f64 2 (+.f64 beta 2)) (*.f64 beta beta)) (*.f64 beta 2))
(pow.f64 (+.f64 2 beta) 2)
(+.f64 (+.f64 (*.f64 2 (+.f64 beta 2)) (*.f64 beta 2)) (*.f64 beta beta))
(pow.f64 (+.f64 2 beta) 2)
(+.f64 (+.f64 (*.f64 2 (+.f64 beta 2)) (*.f64 (*.f64 beta 2) 1)) (*.f64 (*.f64 beta beta) 1))
(pow.f64 (+.f64 2 beta) 2)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 beta 2) 2))) 1)
(pow.f64 (+.f64 2 beta) 2)
(-.f64 (exp.f64 (log1p.f64 (*.f64 beta (+.f64 beta 2)))) (-.f64 1 (*.f64 (+.f64 beta 2) 2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 beta (+.f64 2 beta)))) (+.f64 1 (*.f64 -2 (+.f64 2 beta))))
(+.f64 (fma.f64 2 beta 4) (expm1.f64 (log1p.f64 (*.f64 beta (+.f64 2 beta)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 beta (+.f64 beta 2)))) (-.f64 1 (*.f64 2 (+.f64 beta 2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 beta (+.f64 2 beta)))) (+.f64 1 (*.f64 -2 (+.f64 2 beta))))
(+.f64 (fma.f64 2 beta 4) (expm1.f64 (log1p.f64 (*.f64 beta (+.f64 2 beta)))))
(-.f64 (+.f64 (*.f64 (+.f64 beta 2) 2) (exp.f64 (log1p.f64 (*.f64 beta (+.f64 beta 2))))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 beta (+.f64 2 beta)))) (+.f64 1 (*.f64 -2 (+.f64 2 beta))))
(+.f64 (fma.f64 2 beta 4) (expm1.f64 (log1p.f64 (*.f64 beta (+.f64 2 beta)))))
(-.f64 (+.f64 (*.f64 2 (+.f64 beta 2)) (exp.f64 (log1p.f64 (*.f64 beta (+.f64 beta 2))))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 beta (+.f64 2 beta)))) (+.f64 1 (*.f64 -2 (+.f64 2 beta))))
(+.f64 (fma.f64 2 beta 4) (expm1.f64 (log1p.f64 (*.f64 beta (+.f64 2 beta)))))
(*.f64 (+.f64 beta 2) (+.f64 beta 2))
(pow.f64 (+.f64 2 beta) 2)
(*.f64 (pow.f64 (+.f64 beta 2) 2) 1)
(pow.f64 (+.f64 2 beta) 2)
(*.f64 1 (pow.f64 (+.f64 beta 2) 2))
(pow.f64 (+.f64 2 beta) 2)
(*.f64 (sqrt.f64 (+.f64 beta 2)) (*.f64 (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 2)))
(pow.f64 (+.f64 2 beta) 2)
(*.f64 (cbrt.f64 (pow.f64 (+.f64 beta 2) 4)) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 2 beta) 4)) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (cbrt.f64 (pow.f64 (+.f64 beta 2) 4)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 2 beta) 4)) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (*.f64 (cbrt.f64 (+.f64 beta 2)) (+.f64 beta 2)))
(pow.f64 (+.f64 2 beta) 2)
(*.f64 (*.f64 (+.f64 beta 2) (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)))
(pow.f64 (+.f64 2 beta) 2)
(*.f64 (*.f64 (+.f64 beta 2) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (cbrt.f64 (+.f64 beta 2)))
(pow.f64 (+.f64 2 beta) 2)
(/.f64 (*.f64 (+.f64 4 (*.f64 beta beta)) (+.f64 4 (*.f64 beta beta))) (pow.f64 (+.f64 beta 2) 2))
(/.f64 (*.f64 (+.f64 4 (*.f64 beta beta)) (+.f64 4 (*.f64 beta beta))) (pow.f64 (+.f64 2 beta) 2))
(/.f64 (*.f64 (fma.f64 beta beta 4) (fma.f64 beta beta 4)) (pow.f64 (+.f64 2 beta) 2))
(/.f64 (*.f64 (+.f64 8 (pow.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta -2))) (+.f64 4 (*.f64 beta (+.f64 beta -2)))))
(*.f64 (/.f64 (+.f64 8 (pow.f64 beta 3)) (+.f64 4 (*.f64 beta (+.f64 beta -2)))) (/.f64 (+.f64 8 (pow.f64 beta 3)) (+.f64 4 (*.f64 beta (+.f64 beta -2)))))
(*.f64 (/.f64 (+.f64 8 (pow.f64 beta 3)) (fma.f64 beta (+.f64 beta -2) 4)) (/.f64 (+.f64 8 (pow.f64 beta 3)) (fma.f64 beta (+.f64 beta -2) 4)))
(/.f64 (*.f64 (+.f64 beta 2) (+.f64 4 (*.f64 beta beta))) (+.f64 beta 2))
(/.f64 (+.f64 2 beta) (/.f64 (+.f64 2 beta) (+.f64 4 (*.f64 beta beta))))
(*.f64 1 (fma.f64 beta beta 4))
(/.f64 (*.f64 (+.f64 beta 2) (+.f64 8 (pow.f64 beta 3))) (+.f64 4 (*.f64 beta (+.f64 beta -2))))
(/.f64 (+.f64 2 beta) (/.f64 (+.f64 4 (*.f64 beta (+.f64 beta -2))) (+.f64 8 (pow.f64 beta 3))))
(*.f64 (/.f64 (+.f64 8 (pow.f64 beta 3)) (fma.f64 beta (+.f64 beta -2) 4)) (+.f64 2 beta))
(/.f64 (*.f64 (+.f64 4 (*.f64 beta beta)) (+.f64 beta 2)) (+.f64 beta 2))
(/.f64 (+.f64 2 beta) (/.f64 (+.f64 2 beta) (+.f64 4 (*.f64 beta beta))))
(*.f64 1 (fma.f64 beta beta 4))
(/.f64 (*.f64 (+.f64 8 (pow.f64 beta 3)) (+.f64 beta 2)) (+.f64 4 (*.f64 beta (+.f64 beta -2))))
(/.f64 (+.f64 2 beta) (/.f64 (+.f64 4 (*.f64 beta (+.f64 beta -2))) (+.f64 8 (pow.f64 beta 3))))
(*.f64 (/.f64 (+.f64 8 (pow.f64 beta 3)) (fma.f64 beta (+.f64 beta -2) 4)) (+.f64 2 beta))
(/.f64 (*.f64 (+.f64 4 (*.f64 beta beta)) (+.f64 8 (pow.f64 beta 3))) (*.f64 (+.f64 beta 2) (+.f64 4 (*.f64 beta (+.f64 beta -2)))))
(*.f64 (/.f64 (+.f64 8 (pow.f64 beta 3)) (+.f64 4 (*.f64 beta (+.f64 beta -2)))) (/.f64 (+.f64 4 (*.f64 beta beta)) (+.f64 2 beta)))
(*.f64 (/.f64 (+.f64 8 (pow.f64 beta 3)) (fma.f64 beta (+.f64 beta -2) 4)) (/.f64 (fma.f64 beta beta 4) (+.f64 2 beta)))
(/.f64 (*.f64 (+.f64 8 (pow.f64 beta 3)) (+.f64 4 (*.f64 beta beta))) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta -2))) (+.f64 beta 2)))
(*.f64 (/.f64 (+.f64 8 (pow.f64 beta 3)) (+.f64 4 (*.f64 beta (+.f64 beta -2)))) (/.f64 (+.f64 4 (*.f64 beta beta)) (+.f64 2 beta)))
(*.f64 (/.f64 (+.f64 8 (pow.f64 beta 3)) (fma.f64 beta (+.f64 beta -2) 4)) (/.f64 (fma.f64 beta beta 4) (+.f64 2 beta)))
(sqrt.f64 (pow.f64 (+.f64 beta 2) 4))
(sqrt.f64 (pow.f64 (+.f64 2 beta) 4))
(log.f64 (exp.f64 (pow.f64 (+.f64 beta 2) 2)))
(pow.f64 (+.f64 2 beta) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 beta 2) 2))))
(pow.f64 (+.f64 2 beta) 2)
(cbrt.f64 (pow.f64 (+.f64 beta 2) 6))
(cbrt.f64 (pow.f64 (+.f64 2 beta) 6))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 beta 2) 2)))
(pow.f64 (+.f64 2 beta) 2)
(exp.f64 (*.f64 2 (log.f64 (+.f64 beta 2))))
(pow.f64 (+.f64 2 beta) 2)
(exp.f64 (*.f64 (*.f64 2 (log.f64 (+.f64 beta 2))) 1))
(pow.f64 (+.f64 2 beta) 2)
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 beta 2) 2)))
(pow.f64 (+.f64 2 beta) 2)

eval1.9s (13.4%)

Compiler

Compiled 66606 to 45176 computations (32.2% saved)

prune935.0ms (6.6%)

Pruning

22 alts after pruning (19 fresh and 3 done)

PrunedKeptTotal
New1921161937
Fresh538
Picked101
Done235
Total1929221951
Error
0.0b
Counts
1951 → 22
Alt Table
Click to see full alt table
StatusErrorProgram
47.3b
(/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2)
48.7b
(/.f64 (/.f64 2 alpha) 2)
14.4b
(/.f64 (/.f64 1 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 2)
31.2b
(/.f64 (/.f64 1 (/.f64 1 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))) 2)
48.6b
(/.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))) (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))) 2)
48.6b
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.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)))))) 2)
47.3b
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 (+.f64 beta 2) alpha))) 2)
47.7b
(/.f64 (-.f64 (/.f64 beta alpha) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
49.9b
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
31.2b
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
31.2b
(/.f64 (-.f64 1 (*.f64 (/.f64 alpha (-.f64 4 (*.f64 alpha alpha))) (-.f64 2 alpha))) 2)
32.7b
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
14.4b
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
15.7b
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
16.1b
(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta 2)) (-.f64 beta alpha)) 1) 2)
41.4b
(/.f64 (+.f64 (*.f64 (/.f64 1 beta) (-.f64 beta alpha)) 1) 2)
43.5b
(/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) 2)
56.9b
(/.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (/.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha) alpha) (*.f64 alpha (+.f64 (+.f64 beta beta) -2))) (*.f64 alpha alpha))) 2)
47.9b
(/.f64 (*.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (*.f64 2 (*.f64 beta beta)) (*.f64 alpha alpha)))) 2)
48.0b
(/.f64 (*.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 4 (*.f64 alpha alpha)))) 2)
38.7b
(/.f64 2 2)
31.7b
(/.f64 1 2)
Compiler

Compiled 711 to 549 computations (22.8% saved)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiled 82 to 50 computations (39% saved)

series11.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

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

rewrite123.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1744×associate-/l*
1400×associate-/r/
318×+-commutative
312×add-sqr-sqrt
302×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
013124
1315124
24454124
Stop Event
node limit
Counts
4 → 270
Calls
Call 1
Inputs
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)
(/.f64 1 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
(/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (-.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -1)) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 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simplify293.0ms (2.1%)

Algorithm
egg-herbie
Rules
1112×*-commutative
1016×+-commutative
1004×associate-*r*
958×associate-/l*
874×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
097330070
1315629928
Stop Event
node limit
Counts
366 → 527
Calls
Call 1
Inputs
(-.f64 1 (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) 1) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))))) (/.f64 alpha (+.f64 2 alpha)))
2
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))))
2
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 2 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta))))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2)))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2))))))
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(-.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))) (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)))
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))))) (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 4) (*.f64 beta (pow.f64 (+.f64 beta 2) 3))) (pow.f64 alpha 4))) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))))
(-.f64 1 (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 (*.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)))))
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(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
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(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha))
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(*.f64 -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))))
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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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-1
(-.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1))
(-.f64 (+.f64 (/.f64 beta alpha) (*.f64 -1 (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1))
(-.f64 (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1))
-1
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (/.f64 (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (+.f64 beta 2)) (pow.f64 alpha 2))) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (/.f64 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2))) (pow.f64 alpha 2)))) 1)
(/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))
(+.f64 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (*.f64 -1 (*.f64 beta (+.f64 (/.f64 1 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (+.f64 2 alpha))) (/.f64 alpha (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (pow.f64 (+.f64 2 alpha) 2)))))))
(+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (/.f64 1 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (+.f64 2 alpha))) (/.f64 alpha (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) (*.f64 -1 (/.f64 alpha (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (pow.f64 (+.f64 2 alpha) 3))))))) (+.f64 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (*.f64 -1 (*.f64 beta (+.f64 (/.f64 1 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (+.f64 2 alpha))) (/.f64 alpha (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (pow.f64 (+.f64 2 alpha) 2))))))))
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1/2
(+.f64 1/2 (*.f64 1/4 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)))
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1/2
(+.f64 (*.f64 -1/4 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)) 1/2)
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(/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2))))
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(/.f64 alpha (+.f64 2 (*.f64 2 beta)))
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(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) 1) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (+.f64 alpha (+.f64 beta 2))) (cbrt.f64 (-.f64 beta alpha)))
(*.f64 (/.f64 (-.f64 beta alpha) (neg.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))) (neg.f64 (-.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (-.f64 beta alpha) (neg.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))) (neg.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta))))))
(*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))) (+.f64 alpha (-.f64 2 beta)))
(*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) 4)) (+.f64 beta (+.f64 alpha -2)))
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (-.f64 (+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) 4) (*.f64 (+.f64 beta alpha) 2)))
(*.f64 (/.f64 1 (/.f64 (+.f64 alpha (+.f64 beta 2)) (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2))) (cbrt.f64 (-.f64 beta alpha)))
(*.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (neg.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))) (-.f64 beta (+.f64 alpha 2)))
(*.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (neg.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))))
(*.f64 (/.f64 (*.f64 (neg.f64 (-.f64 beta alpha)) 1) (neg.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))) (-.f64 beta (+.f64 alpha 2)))
(*.f64 (/.f64 (*.f64 (neg.f64 (-.f64 beta alpha)) 1) (neg.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))))
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 -1 (-.f64 -2 (+.f64 beta alpha)))) (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (-.f64 beta alpha))
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 -1 (-.f64 -2 (+.f64 beta alpha)))) (+.f64 (pow.f64 alpha 3) (pow.f64 beta 3))) (+.f64 (*.f64 beta beta) (-.f64 (*.f64 alpha alpha) (*.f64 beta alpha))))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (/.f64 -1 (-.f64 -2 (+.f64 beta alpha)))) (-.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 -2 (+.f64 beta alpha)))) (+.f64 (pow.f64 (*.f64 beta beta) 3) (pow.f64 (*.f64 alpha (+.f64 beta alpha)) 3))) (+.f64 (*.f64 (*.f64 beta beta) (*.f64 beta beta)) (-.f64 (*.f64 (*.f64 alpha (+.f64 beta alpha)) (*.f64 alpha (+.f64 beta alpha))) (*.f64 (*.f64 beta beta) (*.f64 alpha (+.f64 beta alpha))))))
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))) (sqrt.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta))))))
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))) (sqrt.f64 (-.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (cbrt.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))) (cbrt.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta))))))
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (cbrt.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))) (cbrt.f64 (-.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 alpha (+.f64 beta 2)) alpha)) (*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))) (*.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta))))))
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 alpha (+.f64 beta 2)) alpha)) (*.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))) (*.f64 (-.f64 beta (+.f64 alpha 2)) (-.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 alpha (+.f64 beta 2)) alpha)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))) (-.f64 beta (+.f64 alpha 2)))
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 alpha (+.f64 beta 2)) alpha)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))))
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 alpha (+.f64 beta 2)) alpha)) (*.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha (+.f64 beta 2)))) (-.f64 beta (+.f64 alpha 2)))
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 alpha (+.f64 beta 2)) alpha)) (*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)) (+.f64 alpha (+.f64 beta 2)))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))))
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 alpha (+.f64 beta 2)) alpha)) (*.f64 (-.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 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta))))))
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 alpha (+.f64 beta 2)) alpha)) (*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))) (*.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))) (-.f64 beta (+.f64 alpha 2))))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 3)
(pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)) -1)
(pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3) 1/3)
(neg.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
(exp.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)))) 1)
(*.f64 1 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)))
(*.f64 1 (neg.f64 (/.f64 -1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))))
(*.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 1)
(*.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) -1/2) (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) -2)) (/.f64 1 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))))
(*.f64 -1 (/.f64 -1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)))
(*.f64 (/.f64 -1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) -1)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 2)) (/.f64 1 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) -1)) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -1))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3))) (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) -1) (pow.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) -1))
(*.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -1) (-.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2)) 1)) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2)))
(*.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -1) (-.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) 3) 1)) (+.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2)) (+.f64 1 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) 1))))
(*.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) -2)))) (/.f64 1 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))))
(*.f64 (/.f64 1 (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) -1))) (neg.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -1)))
(*.f64 (/.f64 1 (neg.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3)))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) -1/2) 1) (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) -1/2))
(*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) -1/2) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3)))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))))
(*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) -1/2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 -1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))))
(*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) -1/2) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) -1))) (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -1)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) -2)) 1) (/.f64 1 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) -2)) -1) (cbrt.f64 (/.f64 -1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) -2)) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3)))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) -2)) (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) -1))) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -1)))
(*.f64 (/.f64 -1 (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) -1))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -1))
(*.f64 (/.f64 -1 (neg.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3)))) (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 2)) 1) (/.f64 1 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 2)) -1) (cbrt.f64 (/.f64 -1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 2)) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3)))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 2)) (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) -1))) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -1)))
(*.f64 (/.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) (-.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3)) 1)) (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3) 1))
(*.f64 (/.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) (+.f64 1 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3) 3))) (-.f64 (+.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3)) 1) (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3) 1)))
(pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) -1)
(pow.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 1)
(pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))))
(exp.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) -1))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))))
Outputs
(-.f64 1 (/.f64 alpha (+.f64 2 alpha)))
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
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2
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2
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(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
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2
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2
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1
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1
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-1
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-1
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(fma.f64 -1 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) -1)
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(/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))
(/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))
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(fma.f64 (*.f64 beta beta) (-.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)) (fma.f64 -1 (/.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 (/.f64 (/.f64 1 (+.f64 alpha 2)) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)) (/.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2))))) (/.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)))) (+.f64 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (*.f64 (neg.f64 beta) (+.f64 (/.f64 (/.f64 1 (+.f64 alpha 2)) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)) (/.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2))))))
(+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (/.f64 1 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (+.f64 2 alpha))) (/.f64 alpha (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) (*.f64 -1 (/.f64 alpha (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (pow.f64 (+.f64 2 alpha) 3))))))) (+.f64 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 (*.f64 -1 (*.f64 beta (+.f64 (/.f64 1 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (+.f64 2 alpha))) (/.f64 alpha (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (pow.f64 (+.f64 2 alpha) 2)))))) (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (+.f64 2 alpha))) (/.f64 alpha (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) (*.f64 -1 (/.f64 alpha (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (pow.f64 (+.f64 2 alpha) 3)))))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (+.f64 2 alpha))) (/.f64 alpha (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (pow.f64 (+.f64 2 alpha) 2)))) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (pow.f64 (+.f64 2 alpha) 4))) (/.f64 1 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (pow.f64 (+.f64 2 alpha) 3)))))))))))
(fma.f64 (*.f64 beta beta) (-.f64 (/.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)) (pow.f64 (+.f64 alpha 2) 2)) (*.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 alpha 2) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2))) (/.f64 (/.f64 alpha (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)) (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)))))) (+.f64 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (*.f64 -1 (+.f64 (*.f64 beta (+.f64 (/.f64 1 (*.f64 (+.f64 alpha 2) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2))) (/.f64 (/.f64 alpha (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)) (pow.f64 (+.f64 alpha 2) 2)))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)) (pow.f64 (+.f64 alpha 2) 2)) (*.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 alpha 2) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2))) (/.f64 (/.f64 alpha (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)) (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)))))) (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))))) (fma.f64 -1 (/.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 alpha 2) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2))) (/.f64 (/.f64 alpha (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)) (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 4) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2))) (/.f64 1 (*.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)))))))))))
(fma.f64 (*.f64 beta beta) (-.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)) (fma.f64 -1 (/.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 (/.f64 (/.f64 1 (+.f64 alpha 2)) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)) (/.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2))))) (/.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)))) (+.f64 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (*.f64 -1 (+.f64 (*.f64 beta (+.f64 (/.f64 (/.f64 1 (+.f64 alpha 2)) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)) (/.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (-.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)) (fma.f64 -1 (/.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 (/.f64 (/.f64 1 (+.f64 alpha 2)) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)) (/.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2))))) (/.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)))))) (fma.f64 -1 (/.f64 (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 (/.f64 (/.f64 1 (+.f64 alpha 2)) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)) (/.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2))))) (+.f64 (/.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)) (/.f64 1 (*.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)))))))))))
1/2
(+.f64 1/2 (*.f64 1/4 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)))
(+.f64 1/2 (*.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 1/4))
(+.f64 1/2 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/8 (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2)) (*.f64 1/4 (-.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))))) (pow.f64 beta 2))) (*.f64 1/4 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta))))
(+.f64 1/2 (fma.f64 -1 (/.f64 (fma.f64 -1/8 (pow.f64 (+.f64 2 (*.f64 alpha 2)) 2) (*.f64 1/4 (-.f64 (*.f64 alpha (+.f64 alpha 2)) (neg.f64 (pow.f64 (+.f64 alpha 2) 2))))) (*.f64 beta beta)) (*.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 1/4)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (*.f64 (-.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 2 (*.f64 2 alpha)))) (+.f64 (*.f64 1/4 (-.f64 (*.f64 -1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha)) (pow.f64 (+.f64 2 alpha) 3))) (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1/8 (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2)) (*.f64 1/4 (-.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 2 (*.f64 2 alpha)))))) (pow.f64 beta 3))) (+.f64 1/2 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/8 (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2)) (*.f64 1/4 (-.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))))) (pow.f64 beta 2))) (*.f64 1/4 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)))))
(fma.f64 -1 (/.f64 (fma.f64 1/8 (*.f64 (+.f64 2 (*.f64 alpha 2)) (-.f64 (*.f64 alpha (+.f64 alpha 2)) (neg.f64 (pow.f64 (+.f64 alpha 2) 2)))) (fma.f64 1/4 (-.f64 (*.f64 (neg.f64 (pow.f64 (+.f64 alpha 2) 2)) alpha) (pow.f64 (+.f64 alpha 2) 3)) (*.f64 1/2 (*.f64 (+.f64 2 (*.f64 alpha 2)) (fma.f64 -1/8 (pow.f64 (+.f64 2 (*.f64 alpha 2)) 2) (*.f64 1/4 (-.f64 (*.f64 alpha (+.f64 alpha 2)) (neg.f64 (pow.f64 (+.f64 alpha 2) 2))))))))) (pow.f64 beta 3)) (+.f64 1/2 (fma.f64 -1 (/.f64 (fma.f64 -1/8 (pow.f64 (+.f64 2 (*.f64 alpha 2)) 2) (*.f64 1/4 (-.f64 (*.f64 alpha (+.f64 alpha 2)) (neg.f64 (pow.f64 (+.f64 alpha 2) 2))))) (*.f64 beta beta)) (*.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 1/4))))
(fma.f64 -1 (/.f64 (fma.f64 1/8 (*.f64 (+.f64 2 (*.f64 alpha 2)) (-.f64 (*.f64 alpha (+.f64 alpha 2)) (neg.f64 (pow.f64 (+.f64 alpha 2) 2)))) (fma.f64 1/4 (-.f64 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (neg.f64 alpha)) (pow.f64 (+.f64 alpha 2) 3)) (*.f64 (+.f64 2 (*.f64 alpha 2)) (*.f64 1/2 (fma.f64 -1/8 (pow.f64 (+.f64 2 (*.f64 alpha 2)) 2) (*.f64 1/4 (-.f64 (*.f64 alpha (+.f64 alpha 2)) (neg.f64 (pow.f64 (+.f64 alpha 2) 2))))))))) (pow.f64 beta 3)) (+.f64 1/2 (fma.f64 -1 (/.f64 (fma.f64 -1/8 (pow.f64 (+.f64 2 (*.f64 alpha 2)) 2) (*.f64 1/4 (-.f64 (*.f64 alpha (+.f64 alpha 2)) (neg.f64 (pow.f64 (+.f64 alpha 2) 2))))) (*.f64 beta beta)) (*.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 1/4))))
1/2
(+.f64 (*.f64 -1/4 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)) 1/2)
(fma.f64 -1/4 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) beta) 1/2)
(+.f64 (*.f64 -1/4 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)) (+.f64 1/2 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/8 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)) (*.f64 -1/4 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)))) (pow.f64 beta 2)))))
(+.f64 (fma.f64 -1/4 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) beta) 1/2) (neg.f64 (/.f64 (fma.f64 -1/8 (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2) (*.f64 (*.f64 (+.f64 alpha 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))) -1/4)) (*.f64 beta beta))))
(+.f64 (fma.f64 -1/4 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) beta) 1/2) (neg.f64 (/.f64 (fma.f64 -1/8 (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2) (*.f64 (+.f64 alpha 2) (*.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) -1/4))) (*.f64 beta beta))))
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(/.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)))
(*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) -1/2) 1) (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) -1/2))
(/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
(*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) -1/2) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3)))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))))
(*.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) -1/2) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))))
(*.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) -1/2) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))))
(*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) -1/2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 -1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))))
(/.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) -1/2) (sqrt.f64 (/.f64 -1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))))) (sqrt.f64 -1))
(*.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) -1/2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 -1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))))
(*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) -1/2) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) -1))) (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -1)))
(/.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) -1/2) (sqrt.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))) (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2))))
(*.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) -1/2) (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)))) (sqrt.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) -2)) 1) (/.f64 1 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) -2)) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) -2)) -1) (cbrt.f64 (/.f64 -1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) -2)) -1) (cbrt.f64 (/.f64 -1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) -2)) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3)))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) -2)) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) -2)) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)))) (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) -2)) (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) -1))) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -1)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) -2)) (cbrt.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))) (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2))))
(*.f64 (/.f64 -1 (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) -1))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -1))
(/.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)))
(*.f64 (/.f64 -1 (neg.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3)))) (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(/.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 2)) 1) (/.f64 1 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))))
(/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 2)) -1) (cbrt.f64 (/.f64 -1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))))
(*.f64 (cbrt.f64 (/.f64 -1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))) (/.f64 1 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) 2))))
(*.f64 (cbrt.f64 (/.f64 -1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))) (/.f64 -1 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) 2)))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 2)) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3)))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))))
(*.f64 (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))) (/.f64 1 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) 2))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))) 1) (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) 2) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 2)) (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) -1))) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -1)))
(*.f64 (cbrt.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) (/.f64 1 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) 2))))
(/.f64 (/.f64 (*.f64 1 (cbrt.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) 2)) (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2))))
(*.f64 (/.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) (-.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3)) 1)) (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3) 1))
(*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3) -1) (/.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 6) -1)))
(*.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)) (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 6))))
(*.f64 (/.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) (+.f64 1 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3) 3))) (-.f64 (+.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3)) 1) (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3) 1)))
(*.f64 (/.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) (+.f64 1 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3) 3))) (-.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 6)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)))
(*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) (+.f64 1 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3) 3))) (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 6) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3))))
(pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) -1)
(/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
(pow.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 1)
(/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
(pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) -1/2) 2)
(/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))) 3)
(/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
(pow.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 3) 1/3)
(/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) -2))
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))))
(/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)))))
(/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 3))
(/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))))
(/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
(exp.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(exp.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) -1))
(exp.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 1))
(exp.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))))
(/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))

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

rewrite67.0ms (0.5%)

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)))))))

simplify87.0ms (0.6%)

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)

localize21.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 50 to 32 computations (36% saved)

series4.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite107.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1018×distribute-rgt-in
980×distribute-lft-in
972×associate-/r*
682×associate-/l*
664×associate-/r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01144
125244
2343944
Stop Event
node limit
Counts
2 → 219
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (+.f64 beta 2)) (-.f64 beta alpha))
(+.f64 (*.f64 (/.f64 1 (+.f64 beta 2)) (-.f64 beta alpha)) 1)
Outputs
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((x fma.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 beta 2)) (-.f64 beta alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2))) 2) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2))) 1)))))

simplify117.0ms (0.8%)

Algorithm
egg-herbie
Rules
774×associate-/l*
646×associate-*r*
632×associate-/l/
620×distribute-lft-in
616×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
068713625
1207313305
Stop Event
node limit
Counts
267 → 400
Calls
Call 1
Inputs
(*.f64 -1/2 alpha)
(+.f64 (*.f64 -1/2 alpha) (*.f64 beta (-.f64 1/2 (*.f64 -1/4 alpha))))
(+.f64 (*.f64 -1/2 alpha) (+.f64 (*.f64 beta (-.f64 1/2 (*.f64 -1/4 alpha))) (*.f64 -1/2 (*.f64 (pow.f64 beta 2) (-.f64 1/2 (*.f64 -1/4 alpha))))))
(+.f64 (*.f64 -1/2 alpha) (+.f64 (*.f64 beta (-.f64 1/2 (*.f64 -1/4 alpha))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 beta 2) (-.f64 1/2 (*.f64 -1/4 alpha)))) (*.f64 1/4 (*.f64 (pow.f64 beta 3) (-.f64 1/2 (*.f64 -1/4 alpha)))))))
1
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 1) (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 1 (*.f64 -2 (/.f64 (-.f64 (*.f64 -1 alpha) 2) (pow.f64 beta 2))))) (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 1 (+.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 -1 alpha) 2) (pow.f64 beta 2))) (*.f64 4 (/.f64 (-.f64 (*.f64 -1 alpha) 2) (pow.f64 beta 3)))))) (*.f64 2 (/.f64 1 beta)))
1
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 1) (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 1 (*.f64 -2 (/.f64 (-.f64 (*.f64 -1 alpha) 2) (pow.f64 beta 2))))) (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 1 (+.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 -1 alpha) 2) (pow.f64 beta 2))) (*.f64 4 (/.f64 (-.f64 (*.f64 -1 alpha) 2) (pow.f64 beta 3)))))) (*.f64 2 (/.f64 1 beta)))
(/.f64 beta (+.f64 beta 2))
(+.f64 (*.f64 -1 (/.f64 alpha (+.f64 beta 2))) (/.f64 beta (+.f64 beta 2)))
(+.f64 (*.f64 -1 (/.f64 alpha (+.f64 beta 2))) (/.f64 beta (+.f64 beta 2)))
(+.f64 (*.f64 -1 (/.f64 alpha (+.f64 beta 2))) (/.f64 beta (+.f64 beta 2)))
(*.f64 -1 (/.f64 alpha (+.f64 beta 2)))
(+.f64 (*.f64 -1 (/.f64 alpha (+.f64 beta 2))) (/.f64 beta (+.f64 beta 2)))
(+.f64 (*.f64 -1 (/.f64 alpha (+.f64 beta 2))) (/.f64 beta (+.f64 beta 2)))
(+.f64 (*.f64 -1 (/.f64 alpha (+.f64 beta 2))) (/.f64 beta (+.f64 beta 2)))
(*.f64 -1 (/.f64 alpha (+.f64 beta 2)))
(+.f64 (*.f64 -1 (/.f64 alpha (+.f64 beta 2))) (/.f64 beta (+.f64 beta 2)))
(+.f64 (*.f64 -1 (/.f64 alpha (+.f64 beta 2))) (/.f64 beta (+.f64 beta 2)))
(+.f64 (*.f64 -1 (/.f64 alpha (+.f64 beta 2))) (/.f64 beta (+.f64 beta 2)))
(-.f64 1 (*.f64 1/2 alpha))
(-.f64 (+.f64 1 (*.f64 (+.f64 1/2 (*.f64 1/4 alpha)) beta)) (*.f64 1/2 alpha))
(-.f64 (+.f64 1 (+.f64 (*.f64 (-.f64 (*.f64 -1/8 alpha) 1/4) (pow.f64 beta 2)) (*.f64 (+.f64 1/2 (*.f64 1/4 alpha)) beta))) (*.f64 1/2 alpha))
(-.f64 (+.f64 1 (+.f64 (*.f64 (pow.f64 beta 3) (+.f64 1/8 (*.f64 1/16 alpha))) (+.f64 (*.f64 (-.f64 (*.f64 -1/8 alpha) 1/4) (pow.f64 beta 2)) (*.f64 (+.f64 1/2 (*.f64 1/4 alpha)) beta)))) (*.f64 1/2 alpha))
2
(+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)))
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 beta 2))) (*.f64 2 (/.f64 alpha (pow.f64 beta 2))))))
(-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 beta 2))) (+.f64 (*.f64 -4 (/.f64 alpha (pow.f64 beta 3))) (*.f64 2 (/.f64 alpha (pow.f64 beta 2))))))) (*.f64 8 (/.f64 1 (pow.f64 beta 3))))
2
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2) (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 2 (*.f64 -2 (/.f64 (-.f64 (*.f64 -1 alpha) 2) (pow.f64 beta 2))))) (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 2 (+.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 -1 alpha) 2) (pow.f64 beta 2))) (*.f64 4 (/.f64 (-.f64 (*.f64 -1 alpha) 2) (pow.f64 beta 3)))))) (*.f64 2 (/.f64 1 beta)))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 alpha (+.f64 beta 2))) (/.f64 beta (+.f64 beta 2))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 alpha (+.f64 beta 2))) (/.f64 beta (+.f64 beta 2))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 alpha (+.f64 beta 2))) (/.f64 beta (+.f64 beta 2))))
(*.f64 -1 (/.f64 alpha (+.f64 beta 2)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 alpha (+.f64 beta 2))) (/.f64 beta (+.f64 beta 2))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 alpha (+.f64 beta 2))) (/.f64 beta (+.f64 beta 2))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 alpha (+.f64 beta 2))) (/.f64 beta (+.f64 beta 2))))
(*.f64 -1 (/.f64 alpha (+.f64 beta 2)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 alpha (+.f64 beta 2))) (/.f64 beta (+.f64 beta 2))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 alpha (+.f64 beta 2))) (/.f64 beta (+.f64 beta 2))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 alpha (+.f64 beta 2))) (/.f64 beta (+.f64 beta 2))))
(+.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) -1))
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 0)
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) (*.f64 (/.f64 1 (+.f64 beta 2)) (fma.f64 (neg.f64 alpha) 1 alpha)))
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) (*.f64 (/.f64 1 (+.f64 beta 2)) (fma.f64 (neg.f64 (sqrt.f64 alpha)) (sqrt.f64 alpha) alpha)))
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) (*.f64 (/.f64 1 (+.f64 beta 2)) (fma.f64 (neg.f64 (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2) alpha)))
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) (*.f64 (fma.f64 (neg.f64 alpha) 1 alpha) (/.f64 1 (+.f64 beta 2))))
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 alpha)) (sqrt.f64 alpha) alpha) (/.f64 1 (+.f64 beta 2))))
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2) alpha) (/.f64 1 (+.f64 beta 2))))
(+.f64 (*.f64 (/.f64 1 (+.f64 beta 2)) beta) (*.f64 (/.f64 1 (+.f64 beta 2)) (neg.f64 alpha)))
(+.f64 (*.f64 (/.f64 1 (+.f64 beta 2)) beta) (*.f64 (/.f64 1 (+.f64 beta 2)) (*.f64 (neg.f64 alpha) 1)))
(+.f64 (*.f64 (/.f64 1 (+.f64 beta 2)) (neg.f64 alpha)) (*.f64 (/.f64 1 (+.f64 beta 2)) beta))
(+.f64 (*.f64 beta (/.f64 1 (+.f64 beta 2))) (*.f64 (neg.f64 alpha) (/.f64 1 (+.f64 beta 2))))
(+.f64 (*.f64 beta (/.f64 1 (+.f64 beta 2))) (*.f64 (*.f64 (neg.f64 alpha) 1) (/.f64 1 (+.f64 beta 2))))
(+.f64 (*.f64 (neg.f64 alpha) (/.f64 1 (+.f64 beta 2))) (*.f64 beta (/.f64 1 (+.f64 beta 2))))
(+.f64 (*.f64 1 (*.f64 (/.f64 1 (+.f64 beta 2)) beta)) (*.f64 1 (*.f64 (/.f64 1 (+.f64 beta 2)) (neg.f64 alpha))))
(+.f64 (*.f64 1 (*.f64 beta (/.f64 1 (+.f64 beta 2)))) (*.f64 1 (*.f64 (neg.f64 alpha) (/.f64 1 (+.f64 beta 2)))))
(+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (fma.f64 beta beta -4)) beta) (*.f64 (/.f64 (-.f64 beta alpha) (fma.f64 beta beta -4)) -2))
(+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 beta 3))) (*.f64 beta beta)) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 beta 3))) (-.f64 4 (*.f64 beta 2))))
(+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 beta 3))) (-.f64 4 (*.f64 beta 2))) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 beta 3))) (*.f64 beta beta)))
(+.f64 (*.f64 (*.f64 (/.f64 1 (+.f64 beta 2)) beta) 1) (*.f64 (*.f64 (/.f64 1 (+.f64 beta 2)) (neg.f64 alpha)) 1))
(+.f64 (*.f64 (*.f64 beta (/.f64 1 (+.f64 beta 2))) 1) (*.f64 (*.f64 (neg.f64 alpha) (/.f64 1 (+.f64 beta 2))) 1))
(+.f64 (*.f64 beta (/.f64 (-.f64 beta alpha) (fma.f64 beta beta -4))) (*.f64 -2 (/.f64 (-.f64 beta alpha) (fma.f64 beta beta -4))))
(+.f64 (*.f64 (*.f64 beta beta) (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 beta 3)))) (*.f64 (-.f64 4 (*.f64 beta 2)) (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 beta 3)))))
(+.f64 (*.f64 (-.f64 4 (*.f64 beta 2)) (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 beta 3)))) (*.f64 (*.f64 beta beta) (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 beta 3)))))
(-.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta 2))) 1)
(-.f64 (exp.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta 2))))) 2)
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) -1)) (+.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) -1)) 1))
(-.f64 (/.f64 beta (+.f64 beta 2)) (/.f64 alpha (+.f64 beta 2)))
(/.f64 1 (/.f64 (+.f64 beta 2) (-.f64 beta alpha)))
(/.f64 1 (/.f64 (*.f64 (+.f64 beta 2) (+.f64 beta alpha)) (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))))
(/.f64 1 (/.f64 (*.f64 (+.f64 beta 2) (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha)))) (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3))))
(/.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 1 (-.f64 beta alpha)))
(/.f64 (-.f64 beta alpha) (+.f64 beta 2))
(/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 1)
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(*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2) -1) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) -1)))
(*.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2) (/.f64 (-.f64 beta alpha) (+.f64 beta 2))))))
(*.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) -1)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2) -1))
(*.f64 (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2) (/.f64 (-.f64 beta alpha) (+.f64 beta 2))))) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 3)))
(*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2) -1) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2) -1)) (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta 2))))
(*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2) -1) (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 3) 1)) (+.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta 2))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2)))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 3)) (-.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2)) (*.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta 2))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)))))) (+.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2) -1) (/.f64 (-.f64 beta alpha) (+.f64 beta 2))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 3)) (+.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2) 3) (pow.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta 2))) 3))) (+.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2)) (-.f64 (*.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta 2))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)))) (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)))))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2)) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2))) (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta 2))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2)) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 3))) (+.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta 2))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2)))
(/.f64 1 (/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)))))
(/.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta 2))) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) -1) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) -1)))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2) -1) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) -1))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2) (/.f64 (-.f64 beta alpha) (+.f64 beta 2)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2) -1)) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) -1) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2) -1))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 3))) (/.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2) (/.f64 (-.f64 beta alpha) (+.f64 beta 2)))) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 3)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2) -1)) (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2) -1))) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) -1) (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2) -1))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 3))) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 3)))) (/.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2) (/.f64 (-.f64 beta alpha) (+.f64 beta 2)))) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 3)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 3) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 3)) 1) (*.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2) (/.f64 (-.f64 beta alpha) (+.f64 beta 2)))) (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 3) 1)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta 2))))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2)) 1) (*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) -1) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 3) 3)) (*.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2) (/.f64 (-.f64 beta alpha) (+.f64 beta 2)))) (+.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 3) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 3)) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 3)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2) 3) 1) (*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) -1) (+.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2)) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2) -1)) (neg.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) -1)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2) (/.f64 (-.f64 beta alpha) (+.f64 beta 2))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2) -1) 1) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) -1))
(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2) -1) (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) -1))) (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) -1)))
(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2) -1) (*.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) -1)) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) -1)))) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) -1)))
(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2) -1) (+.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2))))) (-.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2))) 1))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 3)) 1) (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2) (/.f64 (-.f64 beta alpha) (+.f64 beta 2)))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 3)) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2) (/.f64 (-.f64 beta alpha) (+.f64 beta 2)))))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2) (/.f64 (-.f64 beta alpha) (+.f64 beta 2))))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 3)) (*.f64 (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2) (/.f64 (-.f64 beta alpha) (+.f64 beta 2))))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2) (/.f64 (-.f64 beta alpha) (+.f64 beta 2))))))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2) (/.f64 (-.f64 beta alpha) (+.f64 beta 2))))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2)) 1) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta 2))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2)) (sqrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta 2))))) (sqrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2)) (*.f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)))) (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)))))) (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)))))
(pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta 2))) 1)
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)))) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta 2))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta 2))) 2))
(log.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta 2))))))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta 2))) 3))
(expm1.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)))))
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2))) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)))))
(fma.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 1)
(fma.f64 (/.f64 1 (+.f64 beta 2)) (-.f64 beta alpha) 1)
(fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta 2)) 1)
(fma.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2))) 2) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2))) 1)
Outputs
(*.f64 -1/2 alpha)
(+.f64 (*.f64 -1/2 alpha) (*.f64 beta (-.f64 1/2 (*.f64 -1/4 alpha))))
(fma.f64 -1/2 alpha (*.f64 beta (+.f64 1/2 (*.f64 alpha 1/4))))
(+.f64 (*.f64 -1/2 alpha) (+.f64 (*.f64 beta (-.f64 1/2 (*.f64 -1/4 alpha))) (*.f64 -1/2 (*.f64 (pow.f64 beta 2) (-.f64 1/2 (*.f64 -1/4 alpha))))))
(fma.f64 -1/2 alpha (fma.f64 beta (+.f64 1/2 (*.f64 alpha 1/4)) (*.f64 -1/2 (*.f64 (+.f64 1/2 (*.f64 alpha 1/4)) (*.f64 beta beta)))))
(fma.f64 -1/2 alpha (*.f64 (+.f64 1/2 (*.f64 alpha 1/4)) (+.f64 (*.f64 (*.f64 -1/2 beta) beta) beta)))
(+.f64 (*.f64 -1/2 alpha) (+.f64 (*.f64 beta (-.f64 1/2 (*.f64 -1/4 alpha))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 beta 2) (-.f64 1/2 (*.f64 -1/4 alpha)))) (*.f64 1/4 (*.f64 (pow.f64 beta 3) (-.f64 1/2 (*.f64 -1/4 alpha)))))))
(fma.f64 -1/2 alpha (fma.f64 beta (+.f64 1/2 (*.f64 alpha 1/4)) (fma.f64 -1/2 (*.f64 (+.f64 1/2 (*.f64 alpha 1/4)) (*.f64 beta beta)) (*.f64 (*.f64 1/4 (pow.f64 beta 3)) (+.f64 1/2 (*.f64 alpha 1/4))))))
(fma.f64 -1/2 alpha (fma.f64 beta (+.f64 1/2 (*.f64 alpha 1/4)) (*.f64 (+.f64 1/2 (*.f64 alpha 1/4)) (+.f64 (*.f64 (*.f64 -1/2 beta) beta) (*.f64 1/4 (pow.f64 beta 3))))))
1
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 1) (*.f64 2 (/.f64 1 beta)))
(-.f64 (fma.f64 -1 (/.f64 alpha beta) 1) (/.f64 2 beta))
(+.f64 (-.f64 1 (/.f64 alpha beta)) (/.f64 -2 beta))
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 1 (*.f64 -2 (/.f64 (-.f64 (*.f64 -1 alpha) 2) (pow.f64 beta 2))))) (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 (fma.f64 -1 (/.f64 alpha beta) 1) (*.f64 -2 (/.f64 (fma.f64 -1 alpha -2) (*.f64 beta beta)))) (/.f64 2 beta))
(+.f64 (-.f64 1 (/.f64 alpha beta)) (+.f64 (*.f64 -2 (/.f64 (fma.f64 -1 alpha -2) (*.f64 beta beta))) (/.f64 -2 beta)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 1 (+.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 -1 alpha) 2) (pow.f64 beta 2))) (*.f64 4 (/.f64 (-.f64 (*.f64 -1 alpha) 2) (pow.f64 beta 3)))))) (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 (fma.f64 -1 (/.f64 alpha beta) 1) (fma.f64 -2 (/.f64 (fma.f64 -1 alpha -2) (*.f64 beta beta)) (*.f64 4 (/.f64 (fma.f64 -1 alpha -2) (pow.f64 beta 3))))) (/.f64 2 beta))
(+.f64 (-.f64 1 (/.f64 alpha beta)) (+.f64 (fma.f64 -2 (/.f64 (fma.f64 -1 alpha -2) (*.f64 beta beta)) (/.f64 4 (/.f64 (pow.f64 beta 3) (fma.f64 -1 alpha -2)))) (/.f64 -2 beta)))
1
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 1) (*.f64 2 (/.f64 1 beta)))
(-.f64 (fma.f64 -1 (/.f64 alpha beta) 1) (/.f64 2 beta))
(+.f64 (-.f64 1 (/.f64 alpha beta)) (/.f64 -2 beta))
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 1 (*.f64 -2 (/.f64 (-.f64 (*.f64 -1 alpha) 2) (pow.f64 beta 2))))) (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 (fma.f64 -1 (/.f64 alpha beta) 1) (*.f64 -2 (/.f64 (fma.f64 -1 alpha -2) (*.f64 beta beta)))) (/.f64 2 beta))
(+.f64 (-.f64 1 (/.f64 alpha beta)) (+.f64 (*.f64 -2 (/.f64 (fma.f64 -1 alpha -2) (*.f64 beta beta))) (/.f64 -2 beta)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 1 (+.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 -1 alpha) 2) (pow.f64 beta 2))) (*.f64 4 (/.f64 (-.f64 (*.f64 -1 alpha) 2) (pow.f64 beta 3)))))) (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 (fma.f64 -1 (/.f64 alpha beta) 1) (fma.f64 -2 (/.f64 (fma.f64 -1 alpha -2) (*.f64 beta beta)) (*.f64 4 (/.f64 (fma.f64 -1 alpha -2) (pow.f64 beta 3))))) (/.f64 2 beta))
(+.f64 (-.f64 1 (/.f64 alpha beta)) (+.f64 (fma.f64 -2 (/.f64 (fma.f64 -1 alpha -2) (*.f64 beta beta)) (/.f64 4 (/.f64 (pow.f64 beta 3) (fma.f64 -1 alpha -2)))) (/.f64 -2 beta)))
(/.f64 beta (+.f64 beta 2))
(+.f64 (*.f64 -1 (/.f64 alpha (+.f64 beta 2))) (/.f64 beta (+.f64 beta 2)))
(/.f64 (-.f64 beta alpha) (+.f64 beta 2))
(+.f64 (*.f64 -1 (/.f64 alpha (+.f64 beta 2))) (/.f64 beta (+.f64 beta 2)))
(/.f64 (-.f64 beta alpha) (+.f64 beta 2))
(+.f64 (*.f64 -1 (/.f64 alpha (+.f64 beta 2))) (/.f64 beta (+.f64 beta 2)))
(/.f64 (-.f64 beta alpha) (+.f64 beta 2))
(*.f64 -1 (/.f64 alpha (+.f64 beta 2)))
(/.f64 (neg.f64 alpha) (+.f64 beta 2))
(+.f64 (*.f64 -1 (/.f64 alpha (+.f64 beta 2))) (/.f64 beta (+.f64 beta 2)))
(/.f64 (-.f64 beta alpha) (+.f64 beta 2))
(+.f64 (*.f64 -1 (/.f64 alpha (+.f64 beta 2))) (/.f64 beta (+.f64 beta 2)))
(/.f64 (-.f64 beta alpha) (+.f64 beta 2))
(+.f64 (*.f64 -1 (/.f64 alpha (+.f64 beta 2))) (/.f64 beta (+.f64 beta 2)))
(/.f64 (-.f64 beta alpha) (+.f64 beta 2))
(*.f64 -1 (/.f64 alpha (+.f64 beta 2)))
(/.f64 (neg.f64 alpha) (+.f64 beta 2))
(+.f64 (*.f64 -1 (/.f64 alpha (+.f64 beta 2))) (/.f64 beta (+.f64 beta 2)))
(/.f64 (-.f64 beta alpha) (+.f64 beta 2))
(+.f64 (*.f64 -1 (/.f64 alpha (+.f64 beta 2))) (/.f64 beta (+.f64 beta 2)))
(/.f64 (-.f64 beta alpha) (+.f64 beta 2))
(+.f64 (*.f64 -1 (/.f64 alpha (+.f64 beta 2))) (/.f64 beta (+.f64 beta 2)))
(/.f64 (-.f64 beta alpha) (+.f64 beta 2))
(-.f64 1 (*.f64 1/2 alpha))
(+.f64 1 (*.f64 -1/2 alpha))
(+.f64 (*.f64 -1/2 alpha) 1)
(-.f64 (+.f64 1 (*.f64 (+.f64 1/2 (*.f64 1/4 alpha)) beta)) (*.f64 1/2 alpha))
(+.f64 1 (-.f64 (*.f64 beta (+.f64 1/2 (*.f64 alpha 1/4))) (*.f64 alpha 1/2)))
(+.f64 (fma.f64 -1/2 alpha (*.f64 beta (+.f64 1/2 (*.f64 alpha 1/4)))) 1)
(-.f64 (+.f64 1 (+.f64 (*.f64 (-.f64 (*.f64 -1/8 alpha) 1/4) (pow.f64 beta 2)) (*.f64 (+.f64 1/2 (*.f64 1/4 alpha)) beta))) (*.f64 1/2 alpha))
(+.f64 1 (-.f64 (fma.f64 (fma.f64 -1/8 alpha -1/4) (*.f64 beta beta) (*.f64 beta (+.f64 1/2 (*.f64 alpha 1/4)))) (*.f64 alpha 1/2)))
(+.f64 1 (+.f64 (fma.f64 (fma.f64 -1/8 alpha -1/4) (*.f64 beta beta) (*.f64 beta (+.f64 1/2 (*.f64 alpha 1/4)))) (*.f64 -1/2 alpha)))
(-.f64 (+.f64 1 (+.f64 (*.f64 (pow.f64 beta 3) (+.f64 1/8 (*.f64 1/16 alpha))) (+.f64 (*.f64 (-.f64 (*.f64 -1/8 alpha) 1/4) (pow.f64 beta 2)) (*.f64 (+.f64 1/2 (*.f64 1/4 alpha)) beta)))) (*.f64 1/2 alpha))
(+.f64 (+.f64 1 (fma.f64 (pow.f64 beta 3) (+.f64 1/8 (*.f64 alpha 1/16)) (fma.f64 (fma.f64 -1/8 alpha -1/4) (*.f64 beta beta) (*.f64 beta (+.f64 1/2 (*.f64 alpha 1/4)))))) (*.f64 -1/2 alpha))
(+.f64 (fma.f64 (pow.f64 beta 3) (+.f64 1/8 (*.f64 alpha 1/16)) (fma.f64 (fma.f64 -1/8 alpha -1/4) (*.f64 beta beta) (*.f64 beta (+.f64 1/2 (*.f64 alpha 1/4))))) (+.f64 (*.f64 -1/2 alpha) 1))
2
(+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)))
(+.f64 2 (neg.f64 (/.f64 (+.f64 alpha 2) beta)))
(-.f64 2 (/.f64 (+.f64 alpha 2) beta))
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 beta 2))) (*.f64 2 (/.f64 alpha (pow.f64 beta 2))))))
(+.f64 2 (fma.f64 -1 (/.f64 (+.f64 alpha 2) beta) (+.f64 (/.f64 4 (*.f64 beta beta)) (*.f64 2 (/.f64 alpha (*.f64 beta beta))))))
(+.f64 (-.f64 2 (/.f64 (+.f64 alpha 2) beta)) (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 (*.f64 alpha 2) (*.f64 beta beta))))
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(/.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 4)) (*.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta 2))) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 3) 3)) (*.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2) (/.f64 (-.f64 beta alpha) (+.f64 beta 2)))) (+.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 3) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 3)) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 3)))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 3) 3)) (*.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2) (/.f64 (-.f64 beta alpha) (+.f64 beta 2)))) (-.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 6) 1) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 3))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 3) 3)) (*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)))) (-.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 3) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 6)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2) 3) 1) (*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) -1) (+.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2)) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2) 3) -1) (*.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta 2))) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 4) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2)))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 6)) (*.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta 2))) (+.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 4)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2) -1)) (neg.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) -1)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta 2))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2) (/.f64 (-.f64 beta alpha) (+.f64 beta 2))))))
(/.f64 (+.f64 -1 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 3))) (+.f64 -1 (neg.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2) (/.f64 (-.f64 beta alpha) (+.f64 beta 2))))))
(/.f64 (-.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 3)) (-.f64 -1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2) (/.f64 (-.f64 beta alpha) (+.f64 beta 2)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2) -1) 1) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) -1))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)))
(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2) -1) (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) -1))) (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) -1)))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2)) (*.f64 (sqrt.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)))) (sqrt.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta 2))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2) -1) (*.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) -1)) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) -1)))) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) -1)))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2)) (*.f64 (cbrt.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)))) (cbrt.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)))))) (cbrt.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2)) (cbrt.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta 2))))) (*.f64 (cbrt.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)))) (cbrt.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta 2))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2) -1) (+.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2))))) (-.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2))) 1))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2)) (*.f64 (+.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2))) -1) (+.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2))))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2)) (*.f64 (+.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)))) (+.f64 -1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2))))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 3)) 1) (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2) (/.f64 (-.f64 beta alpha) (+.f64 beta 2)))))
(*.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2) (/.f64 (-.f64 beta alpha) (+.f64 beta 2))))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 3)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 3)) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2) (/.f64 (-.f64 beta alpha) (+.f64 beta 2)))))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2) (/.f64 (-.f64 beta alpha) (+.f64 beta 2))))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 3)) (*.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta 2))))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)))))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 3)) (*.f64 (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2) (/.f64 (-.f64 beta alpha) (+.f64 beta 2))))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2) (/.f64 (-.f64 beta alpha) (+.f64 beta 2))))))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2) (/.f64 (-.f64 beta alpha) (+.f64 beta 2))))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 3)) (*.f64 (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2) (/.f64 (-.f64 beta alpha) (+.f64 beta 2))))) (*.f64 (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2) (/.f64 (-.f64 beta alpha) (+.f64 beta 2))))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2) (/.f64 (-.f64 beta alpha) (+.f64 beta 2))))))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta 2))))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta 2))))) (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta 2))))))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2)) 1) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta 2))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta 2))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2)) (sqrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta 2))))) (sqrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2)) (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)))) (sqrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta 2))))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2)) (*.f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)))) (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)))))) (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2)) (*.f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)))) (*.f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)))) (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)))))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 2)) (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta 2))))) (*.f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)))) (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta 2))))))
(pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta 2))) 1)
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)))
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)))) 2)
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)))
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)))) 3)
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)))
(pow.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta 2))) 3) 1/3)
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)))
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta 2))) 2))
(log.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta 2))))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta 2))) 3))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)))
(expm1.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)))
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2))) 1))
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2))))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)))
(fma.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)) 1)
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)))
(fma.f64 (/.f64 1 (+.f64 beta 2)) (-.f64 beta alpha) 1)
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)))
(fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta 2)) 1)
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)))
(fma.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2))) 1)
(+.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2))) 2) 1)
(+.f64 1 (pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2))) 2))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2))) 2) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 2))) 1)
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta 2)))

localize24.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiled 64 to 41 computations (35.9% saved)

series3.0ms (0%)

Counts
2 → 36
Calls

12 calls:

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

rewrite107.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1782×associate-/l*
1158×associate-/r/
342×add-sqr-sqrt
332×pow1
332×*-un-lft-identity
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01354
131550
2493950
Stop Event
node limit
Counts
2 → 190
Calls
Call 1
Inputs
(/.f64 (+.f64 beta 2) alpha)
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 (+.f64 beta 2) alpha)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 beta 2) alpha) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 beta 2) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (exp.f64 (log1p.f64 (/.f64 (+.f64 beta 2) alpha)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (+.f64 beta 2) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 beta 2) alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (exp.f64 (log1p.f64 (/.f64 (+.f64 beta 2) alpha)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 beta 2) (/.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 beta 2) (neg.f64 (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 2) alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 2) alpha) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 beta 2) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 beta 2)) (*.f64 (sqrt.f64 (+.f64 beta 2)) (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 beta 2) alpha)) (sqrt.f64 (/.f64 (+.f64 beta 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 beta 2) alpha)) (neg.f64 (sqrt.f64 (/.f64 (+.f64 beta 2) alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (*.f64 (cbrt.f64 (+.f64 beta 2)) (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) 2) (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) 2) (neg.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) 2))))) (#(struct:change #<rule 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(/.f64 beta (+.f64 2 (+.f64 beta alpha))) (/.f64 (+.f64 beta 2) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) (sqrt.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) (/.f64 (+.f64 beta 2) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) 2) (cbrt.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) (/.f64 (+.f64 beta 2) alpha))))))

simplify166.0ms (1.2%)

Algorithm
egg-herbie
Rules
818×associate-*r*
654×fma-def
638×associate-*l*
608×times-frac
600×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
053311524
1164611032
Stop Event
node limit
Counts
226 → 347
Calls
Call 1
Inputs
(/.f64 2 alpha)
(+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 alpha)))
(/.f64 beta alpha)
(+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 alpha)))
(/.f64 beta alpha)
(+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 alpha)))
(/.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 (+.f64 beta 2) alpha) 0)
(+.f64 0 (/.f64 (+.f64 beta 2) alpha))
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (/.f64 (+.f64 beta 2) alpha)))) 1)
(-.f64 0 (/.f64 (+.f64 beta 2) alpha))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 beta 2) alpha))) 1)
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (/.f64 (+.f64 beta 2) alpha)))) 1)
(*.f64 (+.f64 beta 2) (/.f64 1 alpha))
(*.f64 (+.f64 beta 2) (neg.f64 (/.f64 1 alpha)))
(*.f64 (/.f64 (+.f64 beta 2) alpha) 1)
(*.f64 (/.f64 (+.f64 beta 2) alpha) -1)
(*.f64 1 (/.f64 (+.f64 beta 2) alpha))
(*.f64 (sqrt.f64 (+.f64 beta 2)) (*.f64 (sqrt.f64 (+.f64 beta 2)) (/.f64 1 alpha)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 beta 2) alpha)) (sqrt.f64 (/.f64 (+.f64 beta 2) alpha)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 beta 2) alpha)) (neg.f64 (sqrt.f64 (/.f64 (+.f64 beta 2) alpha))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (*.f64 (cbrt.f64 (+.f64 beta 2)) (/.f64 1 alpha)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) 2) (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) 2) (neg.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) 2))
(*.f64 (-.f64 -2 beta) (/.f64 1 alpha))
(*.f64 (-.f64 -2 beta) (/.f64 1 (neg.f64 alpha)))
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(*.f64 (/.f64 1 alpha) (+.f64 beta 2))
(*.f64 (/.f64 1 alpha) (-.f64 -2 beta))
(*.f64 (*.f64 -1 (sqrt.f64 (/.f64 (+.f64 beta 2) alpha))) (sqrt.f64 (/.f64 (+.f64 beta 2) alpha)))
(*.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) 2)) (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)))
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 beta 2) (sqrt.f64 alpha)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (+.f64 beta 2) (cbrt.f64 alpha)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 beta 2) alpha))) (sqrt.f64 (/.f64 (+.f64 beta 2) alpha)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) 2)) (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)))
(*.f64 (/.f64 1 (neg.f64 alpha)) (-.f64 -2 beta))
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta 2)) 1) (/.f64 (sqrt.f64 (+.f64 beta 2)) alpha))
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta 2)) alpha) (sqrt.f64 (+.f64 beta 2)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta 2)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (+.f64 beta 2)) (cbrt.f64 alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) 1) (/.f64 (cbrt.f64 (+.f64 beta 2)) alpha))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (+.f64 beta 2)) (sqrt.f64 alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) alpha) (cbrt.f64 (+.f64 beta 2)))
(*.f64 (/.f64 1 (/.f64 alpha (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2))) (cbrt.f64 (+.f64 beta 2)))
(*.f64 (/.f64 -1 alpha) (+.f64 beta 2))
(*.f64 (/.f64 -1 (sqrt.f64 alpha)) (/.f64 (+.f64 beta 2) (sqrt.f64 alpha)))
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (+.f64 beta 2) (cbrt.f64 alpha)))
(*.f64 (/.f64 -1 (/.f64 alpha 1)) (+.f64 beta 2))
(*.f64 (/.f64 -1 (/.f64 alpha (sqrt.f64 (+.f64 beta 2)))) (sqrt.f64 (+.f64 beta 2)))
(*.f64 (/.f64 -1 (/.f64 alpha (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2))) (cbrt.f64 (+.f64 beta 2)))
(*.f64 (/.f64 (*.f64 (fma.f64 beta beta -4) (/.f64 1 alpha)) (fma.f64 beta beta -4)) (+.f64 beta 2))
(*.f64 (/.f64 (*.f64 (fma.f64 beta beta -4) (/.f64 1 alpha)) (-.f64 (pow.f64 beta 3) 8)) (+.f64 (+.f64 (*.f64 beta beta) 4) (*.f64 beta 2)))
(*.f64 (/.f64 (*.f64 (+.f64 8 (pow.f64 beta 3)) (/.f64 1 alpha)) (-.f64 (*.f64 (*.f64 beta beta) (*.f64 beta beta)) (*.f64 (-.f64 4 (*.f64 beta 2)) (-.f64 4 (*.f64 beta 2))))) (+.f64 (fma.f64 beta beta -4) (*.f64 beta 2)))
(*.f64 (/.f64 (*.f64 (+.f64 8 (pow.f64 beta 3)) (/.f64 1 alpha)) (+.f64 (pow.f64 (*.f64 beta beta) 3) (pow.f64 (-.f64 4 (*.f64 beta 2)) 3))) (+.f64 (*.f64 (*.f64 beta beta) (*.f64 beta beta)) (-.f64 (*.f64 (-.f64 4 (*.f64 beta 2)) (-.f64 4 (*.f64 beta 2))) (*.f64 (*.f64 beta beta) (-.f64 4 (*.f64 beta 2))))))
(*.f64 (/.f64 (-.f64 0 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)) (+.f64 beta 2)) alpha)
(*.f64 (/.f64 (-.f64 0 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)) 1) (/.f64 alpha (-.f64 -2 beta)))
(*.f64 (/.f64 (-.f64 0 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)) (sqrt.f64 (+.f64 beta 2))) (/.f64 alpha (sqrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 (-.f64 0 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 alpha (cbrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 (-.f64 0 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)) (-.f64 -2 beta)) alpha)
(*.f64 (/.f64 (-.f64 0 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)) (-.f64 -2 beta)) (neg.f64 alpha))
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(*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) 2) (neg.f64 (pow.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) 2))) (neg.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha))))))
(*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) 2) (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) 3) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)))) (neg.f64 (+.f64 (pow.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) 2) (*.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha)))))))
(*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) 3) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)) (-.f64 (*.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) 2) (pow.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) 2)) (*.f64 (*.f64 (/.f64 (+.f64 beta 2) alpha) (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha))))) (*.f64 (/.f64 (+.f64 beta 2) alpha) (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha)))))))) (-.f64 (pow.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) 2) (*.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha))))))
(*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) 3) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)) (+.f64 (pow.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) 2) 3) (pow.f64 (*.f64 (/.f64 (+.f64 beta 2) alpha) (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha))))) 3))) (+.f64 (*.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) 2) (pow.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) 2)) (-.f64 (*.f64 (*.f64 (/.f64 (+.f64 beta 2) alpha) (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha))))) (*.f64 (/.f64 (+.f64 beta 2) alpha) (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha)))))) (*.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) 2) (*.f64 (/.f64 (+.f64 beta 2) alpha) (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha)))))))))
(/.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) (/.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha))))))
(/.f64 1 (/.f64 1 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha))))))
(/.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) 2) (*.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha))))) (+.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) 3) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3))))
(/.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha))))) (/.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) (*.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha))))) (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha)))))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha))))) 2) (/.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) (*.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha))))) (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha)))))))
(/.f64 (pow.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) 2) (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha)))))
(/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) 3) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)) (+.f64 (pow.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) 2) (*.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha))))))
(/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) 3) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)) (-.f64 (pow.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) 2) (*.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha))))))
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) 2) (*.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha))))) (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) 2) (*.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha))))) (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha))))))
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) 2) (*.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha))))) (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) 2) (*.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha))))) (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha))))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) 3) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3))) (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) 2) (*.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha))))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) 3) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) 3) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3))) (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) 2) (*.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha))))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) 3) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) 3) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3))) (cbrt.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) 3) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)))) (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) 2) (*.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha))))) (cbrt.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) 3) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) 3) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3))) (cbrt.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) 3) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)))) (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) 2) (*.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha))))) (cbrt.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) 3) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha))))) 2) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha))))) 2)) (/.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha))))) 2)))
(/.f64 (*.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) (sqrt.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha)))))) (sqrt.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha))))))
(/.f64 (*.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha))))) 2)) (/.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) (cbrt.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha)))))))
(/.f64 (+.f64 (*.f64 beta alpha) (*.f64 (+.f64 2 (+.f64 beta alpha)) (-.f64 -2 beta))) (*.f64 (+.f64 2 (+.f64 beta alpha)) alpha))
(/.f64 (+.f64 alpha (*.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) beta) (-.f64 -2 beta))) (*.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) 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 2 (+.f64 beta alpha)) (-.f64 -2 beta))) (*.f64 (+.f64 2 (+.f64 beta alpha)) alpha))
(/.f64 (-.f64 alpha (*.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) beta) (-.f64 -2 beta))) (*.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) 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 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) 2)) (neg.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) 3) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) 2) (*.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha)))))))
(pow.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) 1)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha))))) 2)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha))))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha)))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha))))))
(exp.f64 (log.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha))))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha))))))
(fma.f64 beta (/.f64 1 (+.f64 2 (+.f64 beta alpha))) (/.f64 (+.f64 beta 2) alpha))
(fma.f64 1 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) (/.f64 (+.f64 beta 2) alpha))
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) (sqrt.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) (/.f64 (+.f64 beta 2) alpha))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) 2) (cbrt.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) (/.f64 (+.f64 beta 2) alpha))
Outputs
(/.f64 2 alpha)
(+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (/.f64 beta alpha) (/.f64 2 alpha))
(+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (/.f64 beta alpha) (/.f64 2 alpha))
(+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 beta alpha)
(+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (/.f64 beta alpha) (/.f64 2 alpha))
(+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (/.f64 beta alpha) (/.f64 2 alpha))
(+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 beta alpha)
(+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (/.f64 beta alpha) (/.f64 2 alpha))
(+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (/.f64 beta alpha) (/.f64 2 alpha))
(+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (/.f64 beta alpha) (/.f64 2 alpha))
(/.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 (+.f64 2 beta) alpha) (/.f64 (*.f64 1 beta) (+.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 beta alpha)
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 alpha)) (/.f64 beta alpha)))
(+.f64 1 (+.f64 (/.f64 beta alpha) (/.f64 2 alpha)))
(+.f64 (/.f64 beta alpha) (+.f64 1 (/.f64 2 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 alpha) (fma.f64 -1 (/.f64 (+.f64 2 alpha) beta) (/.f64 beta alpha))))
(+.f64 (-.f64 (/.f64 beta alpha) (/.f64 (+.f64 2 alpha) beta)) (+.f64 1 (/.f64 2 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 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 2 alpha) (+.f64 (+.f64 (-.f64 (/.f64 beta alpha) (/.f64 (+.f64 2 alpha) beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta beta))) 1))
(/.f64 beta alpha)
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 alpha)) (/.f64 beta alpha)))
(+.f64 1 (+.f64 (/.f64 beta alpha) (/.f64 2 alpha)))
(+.f64 (/.f64 beta alpha) (+.f64 1 (/.f64 2 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 alpha) (fma.f64 -1 (/.f64 (+.f64 2 alpha) beta) (/.f64 beta alpha))))
(+.f64 (-.f64 (/.f64 beta alpha) (/.f64 (+.f64 2 alpha) beta)) (+.f64 1 (/.f64 2 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 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 2 alpha) (+.f64 (+.f64 (-.f64 (/.f64 beta alpha) (/.f64 (+.f64 2 alpha) beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta beta))) 1))
(/.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 -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)))))
(fma.f64 -1 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 2 beta) 2)) (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 2 alpha) (/.f64 beta (+.f64 2 beta)))))
(-.f64 (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 2 alpha) (/.f64 beta (+.f64 2 beta)))) (*.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) 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))))))
(fma.f64 -1 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 2 beta) 2)) (+.f64 (/.f64 beta alpha) (+.f64 (+.f64 (/.f64 2 alpha) (/.f64 beta (+.f64 2 beta))) (/.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 3) (*.f64 alpha alpha))))))
(+.f64 (-.f64 (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 2 alpha) (/.f64 beta (+.f64 2 beta)))) (*.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) alpha)) (/.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 3) (*.f64 alpha alpha))))
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (fma.f64 2 beta 2) alpha)
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))))
(fma.f64 -1 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)))
(+.f64 (/.f64 (*.f64 (-.f64 -2 beta) beta) (*.f64 alpha alpha)) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)))
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(/.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3) (pow.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 3))) (/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 2 (+.f64 alpha beta)))) 2) (/.f64 (*.f64 (/.f64 (+.f64 2 beta) alpha) beta) (+.f64 2 (+.f64 alpha beta)))) (cbrt.f64 (+.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3) (pow.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 3)))) (cbrt.f64 (+.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3) (pow.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 3)))))
(*.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3) (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) 3))) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3) (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) 3))) (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) 2) (*.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))) (cbrt.f64 (+.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3) (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) 3))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha))))) 2) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha))))) 2)) (/.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha))))) 2)))
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))
(/.f64 (*.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) (sqrt.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha)))))) (sqrt.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha))))))
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))
(/.f64 (*.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha))))) 2)) (/.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) (cbrt.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha)))))))
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))
(/.f64 (+.f64 (*.f64 beta alpha) (*.f64 (+.f64 2 (+.f64 beta alpha)) (-.f64 -2 beta))) (*.f64 (+.f64 2 (+.f64 beta alpha)) alpha))
(/.f64 (fma.f64 beta alpha (*.f64 (-.f64 -2 beta) (+.f64 2 (+.f64 alpha beta)))) (*.f64 alpha (+.f64 2 (+.f64 alpha beta))))
(/.f64 (fma.f64 (-.f64 -2 beta) (+.f64 alpha (+.f64 2 beta)) (*.f64 alpha beta)) (*.f64 alpha (+.f64 alpha (+.f64 2 beta))))
(/.f64 (+.f64 alpha (*.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) beta) (-.f64 -2 beta))) (*.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) beta) alpha))
(/.f64 (+.f64 alpha (*.f64 (-.f64 -2 beta) (/.f64 (+.f64 2 (+.f64 alpha beta)) beta))) (*.f64 alpha (/.f64 (+.f64 2 (+.f64 alpha beta)) 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 -2 (+.f64 alpha beta)))) (*.f64 alpha (-.f64 -2 (+.f64 alpha beta))))
(/.f64 (-.f64 (*.f64 (+.f64 2 beta) (+.f64 alpha (+.f64 2 beta))) (*.f64 alpha beta)) (*.f64 alpha (-.f64 -2 (+.f64 alpha beta))))
(/.f64 (-.f64 (*.f64 beta alpha) (*.f64 (+.f64 2 (+.f64 beta alpha)) (-.f64 -2 beta))) (*.f64 (+.f64 2 (+.f64 beta alpha)) alpha))
(/.f64 (-.f64 (*.f64 alpha beta) (*.f64 (-.f64 -2 beta) (+.f64 2 (+.f64 alpha beta)))) (*.f64 alpha (+.f64 2 (+.f64 alpha beta))))
(/.f64 (fma.f64 alpha beta (*.f64 (+.f64 2 beta) (+.f64 alpha (+.f64 2 beta)))) (*.f64 alpha (+.f64 alpha (+.f64 2 beta))))
(/.f64 (-.f64 alpha (*.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) beta) (-.f64 -2 beta))) (*.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) beta) alpha))
(/.f64 (-.f64 alpha (*.f64 (-.f64 -2 beta) (/.f64 (+.f64 2 (+.f64 alpha beta)) beta))) (*.f64 alpha (/.f64 (+.f64 2 (+.f64 alpha beta)) 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 -2 (+.f64 alpha beta)))) (*.f64 alpha (-.f64 -2 (+.f64 alpha beta))))
(/.f64 (neg.f64 (fma.f64 alpha beta (*.f64 (+.f64 2 beta) (+.f64 alpha (+.f64 2 beta))))) (*.f64 alpha (-.f64 -2 (+.f64 alpha beta))))
(/.f64 (neg.f64 (pow.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) 2)) (neg.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha))))))
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) 3) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) 2) (*.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3) (pow.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 2 (+.f64 alpha beta)))) 2) (/.f64 (*.f64 (/.f64 (+.f64 2 beta) alpha) beta) (+.f64 2 (+.f64 alpha beta))))))
(*.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3) (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) 3)) (fma.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 alpha (+.f64 2 beta))) (pow.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) 2))))
(pow.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) 1)
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha))))) 2)
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha))))) 3)
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))
(pow.f64 (pow.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) 3) 1/3)
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) 2))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 2 (+.f64 alpha beta)))) 2))
(fabs.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 alpha (+.f64 2 beta)))))
(log.f64 (exp.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha))))))
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha)))))))
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) 3))
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha))))))
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))
(exp.f64 (log.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha))))))
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha))))) 1))
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha))))))
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))
(fma.f64 beta (/.f64 1 (+.f64 2 (+.f64 beta alpha))) (/.f64 (+.f64 beta 2) alpha))
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))
(fma.f64 1 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) (/.f64 (+.f64 beta 2) alpha))
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) (sqrt.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) (/.f64 (+.f64 beta 2) alpha))
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) 2) (cbrt.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) (/.f64 (+.f64 beta 2) alpha))
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 2 (+.f64 alpha beta))))
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))

eval1.2s (8.7%)

Compiler

Compiled 52024 to 35684 computations (31.4% saved)

prune505.0ms (3.5%)

Pruning

22 alts after pruning (16 fresh and 6 done)

PrunedKeptTotal
New148081488
Fresh6814
Picked101
Done167
Total1488221510
Error
0.0b
Counts
1510 → 22
Alt Table
Click to see full alt table
StatusErrorProgram
48.8b
(/.f64 (/.f64 (+.f64 beta 2) alpha) 2)
47.3b
(/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2)
48.7b
(/.f64 (/.f64 2 alpha) 2)
31.2b
(/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) 2)
0.1b
(/.f64 (/.f64 1 (+.f64 (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)))) 2)
41.3b
(/.f64 (/.f64 1 (+.f64 1/2 (*.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 1/4))) 2)
60.3b
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 beta alpha))) 2)
47.7b
(/.f64 (-.f64 (/.f64 beta alpha) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
47.3b
(/.f64 (-.f64 (/.f64 beta alpha) (neg.f64 (/.f64 (+.f64 beta 2) alpha))) 2)
49.9b
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
43.5b
(/.f64 (-.f64 2 (/.f64 (+.f64 alpha 2) beta)) 2)
31.2b
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
31.2b
(/.f64 (-.f64 1 (*.f64 (/.f64 alpha (-.f64 4 (*.f64 alpha alpha))) (-.f64 2 alpha))) 2)
32.7b
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
14.4b
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
15.7b
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
16.1b
(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta 2)) (-.f64 beta alpha)) 1) 2)
60.3b
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
56.9b
(/.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (/.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha) alpha) (*.f64 alpha (+.f64 (+.f64 beta beta) -2))) (*.f64 alpha alpha))) 2)
48.0b
(/.f64 (*.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 4 (*.f64 alpha alpha)))) 2)
38.7b
(/.f64 2 2)
31.7b
(/.f64 1 2)
Compiler

Compiled 576 to 449 computations (22% saved)

localize76.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)
0.1b
(*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)
0.1b
(/.f64 1 (+.f64 (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2))))
11.6b
(/.f64 beta (pow.f64 (+.f64 beta 2) 2))
Compiler

Compiled 220 to 168 computations (23.6% saved)

series17.0ms (0.1%)

Counts
4 → 60
Calls

18 calls:

TimeVariablePointExpression
4.0ms
beta
@inf
(pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)
3.0ms
alpha
@inf
(/.f64 1 (+.f64 (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2))))
3.0ms
alpha
@0
(/.f64 1 (+.f64 (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2))))
1.0ms
beta
@0
(/.f64 1 (+.f64 (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2))))
1.0ms
alpha
@-inf
(/.f64 1 (+.f64 (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2))))

rewrite115.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
494×associate-+l+
474×add-sqr-sqrt
464×*-un-lft-identity
460×pow1
442×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019196
1456184
27141184
Stop Event
node limit
Counts
4 → 121
Calls
Call 1
Inputs
(/.f64 beta (pow.f64 (+.f64 beta 2) 2))
(/.f64 1 (+.f64 (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2))))
(*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)
(pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)
Outputs
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simplify213.0ms (1.5%)

Algorithm
egg-herbie
Rules
770×associate-*r*
654×distribute-lft-in
644×associate-*l*
618×distribute-rgt-in
576×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
056013811
1164013131
2722413123
Stop Event
node limit
Counts
181 → 287
Calls
Call 1
Inputs
(*.f64 1/4 beta)
(+.f64 (*.f64 1/4 beta) (*.f64 -1/4 (pow.f64 beta 2)))
(+.f64 (*.f64 1/4 beta) (+.f64 (*.f64 3/16 (pow.f64 beta 3)) (*.f64 -1/4 (pow.f64 beta 2))))
(+.f64 (*.f64 1/4 beta) (+.f64 (*.f64 3/16 (pow.f64 beta 3)) (+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (*.f64 -1/8 (pow.f64 beta 4)))))
(/.f64 1 beta)
(-.f64 (/.f64 1 beta) (*.f64 4 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 12 (/.f64 1 (pow.f64 beta 3)))) (*.f64 4 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 12 (/.f64 1 (pow.f64 beta 3)))) (+.f64 (*.f64 32 (/.f64 1 (pow.f64 beta 4))) (*.f64 4 (/.f64 1 (pow.f64 beta 2)))))
(/.f64 1 beta)
(-.f64 (/.f64 1 beta) (*.f64 4 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 12 (/.f64 1 (pow.f64 beta 3)))) (*.f64 4 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 12 (/.f64 1 (pow.f64 beta 3)))) (+.f64 (*.f64 32 (/.f64 1 (pow.f64 beta 4))) (*.f64 4 (/.f64 1 (pow.f64 beta 2)))))
(/.f64 1 (+.f64 1 (*.f64 1/2 alpha)))
(+.f64 (/.f64 (*.f64 beta (+.f64 1/2 (*.f64 1/2 alpha))) (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2)) (/.f64 1 (+.f64 1 (*.f64 1/2 alpha))))
(+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1/2 (/.f64 alpha (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 1/2 (*.f64 1/2 alpha)) 2) (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 3))) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2)))))) (+.f64 (/.f64 (*.f64 beta (+.f64 1/2 (*.f64 1/2 alpha))) (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2)) (/.f64 1 (+.f64 1 (*.f64 1/2 alpha)))))
(+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1/2 (/.f64 alpha (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 1/2 (*.f64 1/2 alpha)) 2) (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 3))) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2)))))) (+.f64 (/.f64 (*.f64 beta (+.f64 1/2 (*.f64 1/2 alpha))) (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2)) (+.f64 (/.f64 1 (+.f64 1 (*.f64 1/2 alpha))) (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 -1 (/.f64 (+.f64 1/2 (*.f64 1/2 alpha)) (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1/2 (/.f64 alpha (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 1/2 (*.f64 1/2 alpha)) 2) (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 3))) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2))))) (+.f64 1/2 (*.f64 1/2 alpha))) (+.f64 1 (*.f64 1/2 alpha)))) (/.f64 (*.f64 (-.f64 1/2 (*.f64 -1/2 alpha)) (+.f64 1/2 (*.f64 1/2 alpha))) (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 3)))))))))
2
(+.f64 2 (*.f64 -4 (/.f64 (+.f64 1/2 (*.f64 1/2 alpha)) beta)))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 (+.f64 1/2 (*.f64 1/2 alpha)) beta)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -8 (pow.f64 (+.f64 1/2 (*.f64 1/2 alpha)) 2)) (*.f64 4 (-.f64 (*.f64 -3/2 alpha) (+.f64 1/2 (*.f64 -1 alpha))))) (pow.f64 beta 2)))))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 (+.f64 1/2 (*.f64 1/2 alpha)) beta)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 4 (-.f64 (+.f64 1/2 (*.f64 4 alpha)) (+.f64 (*.f64 5/2 alpha) (*.f64 -2 (-.f64 (*.f64 -3/2 alpha) (*.f64 -1 alpha)))))) (+.f64 (*.f64 -2 (*.f64 (+.f64 (*.f64 -8 (pow.f64 (+.f64 1/2 (*.f64 1/2 alpha)) 2)) (*.f64 4 (-.f64 (*.f64 -3/2 alpha) (+.f64 1/2 (*.f64 -1 alpha))))) (+.f64 1/2 (*.f64 1/2 alpha)))) (*.f64 -8 (*.f64 (-.f64 (*.f64 -3/2 alpha) (+.f64 1/2 (*.f64 -1 alpha))) (+.f64 1/2 (*.f64 1/2 alpha)))))) (pow.f64 beta 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -8 (pow.f64 (+.f64 1/2 (*.f64 1/2 alpha)) 2)) (*.f64 4 (-.f64 (*.f64 -3/2 alpha) (+.f64 1/2 (*.f64 -1 alpha))))) (pow.f64 beta 2))))))
2
(+.f64 2 (*.f64 4 (/.f64 (-.f64 (*.f64 -1/2 alpha) 1/2) beta)))
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 4 (-.f64 (*.f64 -3/2 alpha) (+.f64 1/2 (*.f64 -1 alpha)))) (*.f64 -8 (pow.f64 (-.f64 (*.f64 -1/2 alpha) 1/2) 2))) (pow.f64 beta 2))) (*.f64 4 (/.f64 (-.f64 (*.f64 -1/2 alpha) 1/2) beta))))
(+.f64 (*.f64 4 (/.f64 (-.f64 (*.f64 -4 alpha) (+.f64 1/2 (+.f64 (*.f64 -5/2 alpha) (*.f64 2 (-.f64 (*.f64 -3/2 alpha) (*.f64 -1 alpha)))))) (pow.f64 beta 3))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 (*.f64 4 (-.f64 (*.f64 -3/2 alpha) (+.f64 1/2 (*.f64 -1 alpha)))) (*.f64 -8 (pow.f64 (-.f64 (*.f64 -1/2 alpha) 1/2) 2))) (-.f64 (*.f64 -1/2 alpha) 1/2)) (pow.f64 beta 3))) (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 4 (-.f64 (*.f64 -3/2 alpha) (+.f64 1/2 (*.f64 -1 alpha)))) (*.f64 -8 (pow.f64 (-.f64 (*.f64 -1/2 alpha) 1/2) 2))) (pow.f64 beta 2))) (+.f64 (*.f64 -8 (/.f64 (*.f64 (-.f64 (*.f64 -1/2 alpha) 1/2) (-.f64 (*.f64 -3/2 alpha) (+.f64 1/2 (*.f64 -1 alpha)))) (pow.f64 beta 3))) (*.f64 4 (/.f64 (-.f64 (*.f64 -1/2 alpha) 1/2) beta)))))))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (*.f64 (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (+.f64 beta 2)))) alpha))) (/.f64 beta (+.f64 beta 2))))
(+.f64 (*.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (+.f64 beta 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 3) (*.f64 (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (+.f64 beta 2)))) (pow.f64 alpha 2)))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (*.f64 (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (+.f64 beta 2)))) alpha))) (/.f64 beta (+.f64 beta 2)))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (+.f64 beta 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 4) (*.f64 (pow.f64 (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (+.f64 beta 2)))) 2) (pow.f64 alpha 3))))) (+.f64 (*.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (+.f64 beta 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 3) (*.f64 (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (+.f64 beta 2)))) (pow.f64 alpha 2)))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (*.f64 (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (+.f64 beta 2)))) alpha))) (/.f64 beta (+.f64 beta 2))))))
(/.f64 1 (*.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (+.f64 beta 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2)))) alpha))
(-.f64 (/.f64 1 (*.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (+.f64 beta 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2)))) alpha)) (/.f64 1 (*.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (+.f64 beta 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (*.f64 (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (+.f64 beta 2)))) (pow.f64 alpha 2))))))
(-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (+.f64 beta 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2)))) 2) (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (*.f64 (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (+.f64 beta 2)))) (pow.f64 alpha 3))))) (/.f64 1 (*.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (+.f64 beta 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2)))) alpha))) (/.f64 1 (*.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (+.f64 beta 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (*.f64 (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (+.f64 beta 2)))) (pow.f64 alpha 2))))))
(-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (+.f64 beta 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2)))) 2) (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (*.f64 (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (+.f64 beta 2)))) (pow.f64 alpha 3))))) (/.f64 1 (*.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (+.f64 beta 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2)))) alpha))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (+.f64 beta 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2)))) 2) (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 3) (*.f64 (pow.f64 (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (+.f64 beta 2)))) 2) (pow.f64 alpha 4))))) (/.f64 1 (*.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (+.f64 beta 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (*.f64 (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (+.f64 beta 2)))) (pow.f64 alpha 2)))))))
(/.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 3) (*.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (pow.f64 alpha 2)))) (/.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 3) (*.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (pow.f64 alpha 2)))) (+.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 4) (*.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 3) (pow.f64 alpha 3))) (/.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 3) (*.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (pow.f64 alpha 2)))) (+.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 4) (*.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 3) (pow.f64 alpha 3))) (+.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 5) (*.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 4) (pow.f64 alpha 4)))))))
(*.f64 1/2 alpha)
(+.f64 (*.f64 1/2 alpha) (*.f64 -1/8 (*.f64 (pow.f64 beta 2) alpha)))
(+.f64 (*.f64 1/8 (*.f64 (pow.f64 beta 3) alpha)) (+.f64 (*.f64 1/2 alpha) (*.f64 -1/8 (*.f64 (pow.f64 beta 2) alpha))))
(+.f64 (*.f64 -3/32 (*.f64 (pow.f64 beta 4) alpha)) (+.f64 (*.f64 1/8 (*.f64 (pow.f64 beta 3) alpha)) (+.f64 (*.f64 1/2 alpha) (*.f64 -1/8 (*.f64 (pow.f64 beta 2) alpha)))))
(*.f64 2 (/.f64 alpha beta))
(+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 -6 (/.f64 alpha (pow.f64 beta 2))))
(+.f64 (*.f64 16 (/.f64 alpha (pow.f64 beta 3))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 -6 (/.f64 alpha (pow.f64 beta 2)))))
(+.f64 (*.f64 16 (/.f64 alpha (pow.f64 beta 3))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (+.f64 (*.f64 -40 (/.f64 alpha (pow.f64 beta 4))) (*.f64 -6 (/.f64 alpha (pow.f64 beta 2))))))
(*.f64 2 (/.f64 alpha beta))
(+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 -6 (/.f64 alpha (pow.f64 beta 2))))
(+.f64 (*.f64 16 (/.f64 alpha (pow.f64 beta 3))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 -6 (/.f64 alpha (pow.f64 beta 2)))))
(+.f64 (*.f64 16 (/.f64 alpha (pow.f64 beta 3))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (+.f64 (*.f64 -40 (/.f64 alpha (pow.f64 beta 4))) (*.f64 -6 (/.f64 alpha (pow.f64 beta 2))))))
1
(+.f64 beta 1)
(+.f64 beta (+.f64 1 (*.f64 -1/4 (pow.f64 beta 2))))
(+.f64 beta (+.f64 (*.f64 1/16 (pow.f64 beta 4)) (+.f64 1 (*.f64 -1/4 (pow.f64 beta 2)))))
4
(-.f64 4 (*.f64 8 (/.f64 1 beta)))
(-.f64 (+.f64 4 (*.f64 20 (/.f64 1 (pow.f64 beta 2)))) (*.f64 8 (/.f64 1 beta)))
(-.f64 (+.f64 4 (*.f64 20 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 beta)) (*.f64 48 (/.f64 1 (pow.f64 beta 3)))))
4
(-.f64 4 (*.f64 8 (/.f64 1 beta)))
(-.f64 (+.f64 4 (*.f64 20 (/.f64 1 (pow.f64 beta 2)))) (*.f64 8 (/.f64 1 beta)))
(-.f64 (+.f64 4 (*.f64 20 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 beta)) (*.f64 48 (/.f64 1 (pow.f64 beta 3)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) -2)))) 1)
(*.f64 beta (pow.f64 (+.f64 beta 2) -2))
(*.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) -2)) 1)
(*.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 2) -2)))
(*.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2)))
(*.f64 (sqrt.f64 beta) (*.f64 (sqrt.f64 beta) (pow.f64 (+.f64 beta 2) -2)))
(*.f64 (/.f64 (sqrt.f64 beta) (+.f64 beta 2)) (/.f64 (sqrt.f64 beta) (+.f64 beta 2)))
(*.f64 (pow.f64 (cbrt.f64 beta) 2) (*.f64 (cbrt.f64 beta) (pow.f64 (+.f64 beta 2) -2)))
(*.f64 (cbrt.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) -2))) (cbrt.f64 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 4))))
(*.f64 (cbrt.f64 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 4))) (cbrt.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) -2))))
(*.f64 (pow.f64 (+.f64 beta 2) -2) beta)
(*.f64 (neg.f64 beta) (/.f64 1 (neg.f64 (pow.f64 (+.f64 beta 2) 2))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 beta 2) 4))) (/.f64 beta (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)))
(*.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (pow.f64 (+.f64 beta 2) 2)))
(*.f64 (/.f64 (sqrt.f64 beta) (cbrt.f64 (pow.f64 (+.f64 beta 2) 4))) (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (+.f64 beta 2)) (/.f64 (cbrt.f64 beta) (+.f64 beta 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (pow.f64 (+.f64 beta 2) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (cbrt.f64 (pow.f64 (+.f64 beta 2) 4))) (cbrt.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) -2))))
(pow.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) -2)) 1)
(pow.f64 (/.f64 (sqrt.f64 beta) (+.f64 beta 2)) 2)
(pow.f64 (cbrt.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) -2))) 3)
(pow.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) beta) -1)
(pow.f64 (pow.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) -2)) 3) 1/3)
(neg.f64 (/.f64 beta (neg.f64 (pow.f64 (+.f64 beta 2) 2))))
(sqrt.f64 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 4)))
(log.f64 (pow.f64 (exp.f64 beta) (pow.f64 (+.f64 beta 2) -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) -2)))))
(cbrt.f64 (pow.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) -2)) 3))
(expm1.f64 (log1p.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) -2))))
(exp.f64 (log.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) -2))))
(exp.f64 (*.f64 (log.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) -2))) 1))
(log1p.f64 (expm1.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) -2))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2) (exp.f64 (neg.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))))))))) 1)
(*.f64 1 (/.f64 1 (fma.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2) (exp.f64 (neg.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))))))))
(*.f64 (/.f64 1 (fma.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2) (exp.f64 (neg.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))))))) 1)
(*.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2) (exp.f64 (neg.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2)))))) -1/2) (pow.f64 (fma.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2) (exp.f64 (neg.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2)))))) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2) (exp.f64 (neg.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2)))))))) (cbrt.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2) (exp.f64 (neg.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2)))))) -2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2) (exp.f64 (neg.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2)))))) -2)) (/.f64 1 (cbrt.f64 (fma.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2) (exp.f64 (neg.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2)))))))))
(*.f64 -1 (/.f64 1 (neg.f64 (fma.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2) (exp.f64 (neg.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2)))))))))
(*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2) (/.f64 (pow.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha) 2) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 4)))) (-.f64 (exp.f64 (neg.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))))) (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) (*.f64 alpha (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2)))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -3) (pow.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) (*.f64 alpha (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2))) 3))) (-.f64 (+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha) 2) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 4)) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2)) (/.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 3))))
(*.f64 (/.f64 1 (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (+.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha)))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 3))
(*.f64 (pow.f64 (hypot.f64 (/.f64 (sqrt.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha)) (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -1/2)) -1) (pow.f64 (hypot.f64 (/.f64 (sqrt.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha)) (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -1/2)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2) (exp.f64 (neg.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))))))) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2) (exp.f64 (neg.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))))))) -1))
(pow.f64 (fma.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2) (exp.f64 (neg.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2)))))) -1)
(pow.f64 (/.f64 1 (fma.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2) (exp.f64 (neg.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))))))) 1)
(pow.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2) (exp.f64 (neg.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2)))))) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2) (exp.f64 (neg.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2)))))))) 3)
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2) (exp.f64 (neg.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))))))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2) (exp.f64 (neg.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2)))))) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2) (exp.f64 (neg.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2)))))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2) (exp.f64 (neg.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))))))))))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2) (exp.f64 (neg.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))))))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2) (exp.f64 (neg.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2)))))))))
(exp.f64 (neg.f64 (log.f64 (fma.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2) (exp.f64 (neg.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2)))))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2) (exp.f64 (neg.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))))))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2) (exp.f64 (neg.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2)))))))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2) (exp.f64 (neg.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2)))))))))
(+.f64 (*.f64 alpha (*.f64 beta (pow.f64 (+.f64 beta 2) -2))) (*.f64 alpha (/.f64 1 (+.f64 beta 2))))
(+.f64 (*.f64 alpha (/.f64 1 (+.f64 beta 2))) (*.f64 alpha (*.f64 beta (pow.f64 (+.f64 beta 2) -2))))
(+.f64 (*.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) -2)) alpha) (*.f64 (/.f64 1 (+.f64 beta 2)) alpha))
(+.f64 (*.f64 (/.f64 1 (+.f64 beta 2)) alpha) (*.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) -2)) alpha))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha))) 1)
(/.f64 (*.f64 alpha (-.f64 (pow.f64 (+.f64 beta 2) -2) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 4)))) (-.f64 (/.f64 1 (+.f64 beta 2)) (*.f64 beta (pow.f64 (+.f64 beta 2) -2))))
(/.f64 (*.f64 alpha (+.f64 (pow.f64 (+.f64 beta 2) -3) (pow.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) -2)) 3))) (+.f64 (pow.f64 (+.f64 beta 2) -2) (-.f64 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))))
(/.f64 (*.f64 alpha (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta)))) (pow.f64 (+.f64 beta 2) 3))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 beta 2) -2) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 4))) alpha) (-.f64 (/.f64 1 (+.f64 beta 2)) (*.f64 beta (pow.f64 (+.f64 beta 2) -2))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) -3) (pow.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) -2)) 3)) alpha) (+.f64 (pow.f64 (+.f64 beta 2) -2) (-.f64 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))))
(/.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta))) alpha) (pow.f64 (+.f64 beta 2) 3))
(pow.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha) 1)
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha)) 2)
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha)) 3)
(pow.f64 (pow.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha) 2))
(log.f64 (pow.f64 (exp.f64 alpha) (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha) 3))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) 3) (pow.f64 alpha 3)))
(cbrt.f64 (*.f64 (pow.f64 alpha 3) (pow.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) 3)))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha)))
(exp.f64 (log.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha)))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha)) 1))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha)))
(+.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (/.f64 beta (+.f64 beta 2)))))
(+.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) (*.f64 (/.f64 beta (+.f64 beta 2)) (+.f64 1 (/.f64 beta (+.f64 beta 2))))))
(+.f64 (/.f64 beta (+.f64 beta 2)) (+.f64 1 (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (/.f64 beta (+.f64 beta 2)))))
(+.f64 (/.f64 beta (+.f64 beta 2)) (+.f64 1 (*.f64 (/.f64 beta (+.f64 beta 2)) (+.f64 1 (/.f64 beta (+.f64 beta 2))))))
(+.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (/.f64 beta (+.f64 beta 2))))
(+.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (*.f64 (/.f64 beta (+.f64 beta 2)) (+.f64 1 (/.f64 beta (+.f64 beta 2)))))
(+.f64 (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (/.f64 beta (+.f64 beta 2))) (+.f64 1 (/.f64 beta (+.f64 beta 2))))
(+.f64 (*.f64 (/.f64 beta (+.f64 beta 2)) (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (+.f64 1 (/.f64 beta (+.f64 beta 2))))
(+.f64 (+.f64 (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (/.f64 beta (+.f64 beta 2))) 1) (/.f64 beta (+.f64 beta 2)))
(+.f64 (+.f64 (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (/.f64 beta (+.f64 beta 2))) (/.f64 beta (+.f64 beta 2))) 1)
(+.f64 (+.f64 (*.f64 (/.f64 beta (+.f64 beta 2)) (+.f64 1 (/.f64 beta (+.f64 beta 2)))) 1) (/.f64 beta (+.f64 beta 2)))
(+.f64 (+.f64 (*.f64 (/.f64 beta (+.f64 beta 2)) (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (/.f64 beta (+.f64 beta 2))) 1)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2))) 1)
(*.f64 1 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2))
(*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (+.f64 1 (/.f64 beta (+.f64 beta 2))))
(*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) 1)
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (*.f64 (sqrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (+.f64 1 (/.f64 beta (+.f64 beta 2)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) 2) (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 4)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) 2) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (+.f64 1 (/.f64 beta (+.f64 beta 2)))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 4)) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) 2))
(*.f64 (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (sqrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))))) (sqrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))
(*.f64 (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) 2)) (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3))) (*.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (/.f64 beta (+.f64 beta 2)))) (+.f64 1 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (/.f64 beta (+.f64 beta 2))))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2))) (*.f64 (-.f64 1 (/.f64 beta (+.f64 beta 2))) (-.f64 1 (/.f64 beta (+.f64 beta 2)))))
(/.f64 (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2))) (-.f64 1 (/.f64 beta (+.f64 beta 2))))
(/.f64 (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (+.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 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (-.f64 1 (/.f64 beta (+.f64 beta 2))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (+.f64 1 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (/.f64 beta (+.f64 beta 2)))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3))) (*.f64 (-.f64 1 (/.f64 beta (+.f64 beta 2))) (+.f64 1 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (/.f64 beta (+.f64 beta 2))))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2))) (*.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (/.f64 beta (+.f64 beta 2)))) (-.f64 1 (/.f64 beta (+.f64 beta 2)))))
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 4))
(log.f64 (exp.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)))
(exp.f64 (*.f64 2 (log1p.f64 (/.f64 beta (+.f64 beta 2)))))
(exp.f64 (*.f64 (*.f64 2 (log1p.f64 (/.f64 beta (+.f64 beta 2)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)))
Outputs
(*.f64 1/4 beta)
(+.f64 (*.f64 1/4 beta) (*.f64 -1/4 (pow.f64 beta 2)))
(fma.f64 1/4 beta (*.f64 -1/4 (*.f64 beta beta)))
(fma.f64 1/4 beta (*.f64 beta (*.f64 beta -1/4)))
(+.f64 (*.f64 1/4 beta) (+.f64 (*.f64 3/16 (pow.f64 beta 3)) (*.f64 -1/4 (pow.f64 beta 2))))
(fma.f64 1/4 beta (fma.f64 3/16 (pow.f64 beta 3) (*.f64 -1/4 (*.f64 beta beta))))
(fma.f64 1/4 beta (fma.f64 3/16 (pow.f64 beta 3) (*.f64 beta (*.f64 beta -1/4))))
(+.f64 (*.f64 1/4 beta) (+.f64 (*.f64 3/16 (pow.f64 beta 3)) (+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (*.f64 -1/8 (pow.f64 beta 4)))))
(fma.f64 1/4 beta (fma.f64 3/16 (pow.f64 beta 3) (fma.f64 -1/4 (*.f64 beta beta) (*.f64 -1/8 (pow.f64 beta 4)))))
(fma.f64 1/4 beta (fma.f64 3/16 (pow.f64 beta 3) (fma.f64 -1/8 (pow.f64 beta 4) (*.f64 beta (*.f64 beta -1/4)))))
(/.f64 1 beta)
(-.f64 (/.f64 1 beta) (*.f64 4 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (/.f64 1 beta) (/.f64 4 (*.f64 beta beta)))
(+.f64 (/.f64 1 beta) (/.f64 -4 (*.f64 beta beta)))
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 12 (/.f64 1 (pow.f64 beta 3)))) (*.f64 4 (/.f64 1 (pow.f64 beta 2))))
(+.f64 (/.f64 1 beta) (-.f64 (/.f64 12 (pow.f64 beta 3)) (/.f64 4 (*.f64 beta beta))))
(+.f64 (/.f64 12 (pow.f64 beta 3)) (+.f64 (/.f64 1 beta) (/.f64 -4 (*.f64 beta beta))))
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 12 (/.f64 1 (pow.f64 beta 3)))) (+.f64 (*.f64 32 (/.f64 1 (pow.f64 beta 4))) (*.f64 4 (/.f64 1 (pow.f64 beta 2)))))
(-.f64 (+.f64 (/.f64 1 beta) (/.f64 12 (pow.f64 beta 3))) (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 32 (pow.f64 beta 4))))
(+.f64 (/.f64 12 (pow.f64 beta 3)) (-.f64 (/.f64 1 beta) (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 32 (pow.f64 beta 4)))))
(+.f64 (/.f64 12 (pow.f64 beta 3)) (+.f64 (/.f64 1 beta) (-.f64 (/.f64 -4 (*.f64 beta beta)) (/.f64 32 (pow.f64 beta 4)))))
(/.f64 1 beta)
(-.f64 (/.f64 1 beta) (*.f64 4 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (/.f64 1 beta) (/.f64 4 (*.f64 beta beta)))
(+.f64 (/.f64 1 beta) (/.f64 -4 (*.f64 beta beta)))
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 12 (/.f64 1 (pow.f64 beta 3)))) (*.f64 4 (/.f64 1 (pow.f64 beta 2))))
(+.f64 (/.f64 1 beta) (-.f64 (/.f64 12 (pow.f64 beta 3)) (/.f64 4 (*.f64 beta beta))))
(+.f64 (/.f64 12 (pow.f64 beta 3)) (+.f64 (/.f64 1 beta) (/.f64 -4 (*.f64 beta beta))))
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 12 (/.f64 1 (pow.f64 beta 3)))) (+.f64 (*.f64 32 (/.f64 1 (pow.f64 beta 4))) (*.f64 4 (/.f64 1 (pow.f64 beta 2)))))
(-.f64 (+.f64 (/.f64 1 beta) (/.f64 12 (pow.f64 beta 3))) (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 32 (pow.f64 beta 4))))
(+.f64 (/.f64 12 (pow.f64 beta 3)) (-.f64 (/.f64 1 beta) (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 32 (pow.f64 beta 4)))))
(+.f64 (/.f64 12 (pow.f64 beta 3)) (+.f64 (/.f64 1 beta) (-.f64 (/.f64 -4 (*.f64 beta beta)) (/.f64 32 (pow.f64 beta 4)))))
(/.f64 1 (+.f64 1 (*.f64 1/2 alpha)))
(/.f64 1 (fma.f64 1/2 alpha 1))
(+.f64 (/.f64 (*.f64 beta (+.f64 1/2 (*.f64 1/2 alpha))) (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2)) (/.f64 1 (+.f64 1 (*.f64 1/2 alpha))))
(+.f64 (/.f64 1 (+.f64 1 (*.f64 1/2 alpha))) (/.f64 (*.f64 beta (+.f64 1/2 (*.f64 1/2 alpha))) (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2)))
(+.f64 (/.f64 1 (fma.f64 1/2 alpha 1)) (*.f64 (/.f64 beta (pow.f64 (fma.f64 1/2 alpha 1) 2)) (fma.f64 1/2 alpha 1/2)))
(+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1/2 (/.f64 alpha (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 1/2 (*.f64 1/2 alpha)) 2) (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 3))) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2)))))) (+.f64 (/.f64 (*.f64 beta (+.f64 1/2 (*.f64 1/2 alpha))) (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2)) (/.f64 1 (+.f64 1 (*.f64 1/2 alpha)))))
(fma.f64 (*.f64 beta beta) (-.f64 (/.f64 (*.f64 alpha -1/2) (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2)) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 1/2 (*.f64 1/2 alpha)) 2) (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 3)) (/.f64 1/2 (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2)))) (+.f64 (/.f64 1 (+.f64 1 (*.f64 1/2 alpha))) (/.f64 (*.f64 beta (+.f64 1/2 (*.f64 1/2 alpha))) (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2))))
(fma.f64 (*.f64 beta beta) (-.f64 (/.f64 (*.f64 alpha -1/2) (pow.f64 (fma.f64 1/2 alpha 1) 2)) (-.f64 (/.f64 1/2 (pow.f64 (fma.f64 1/2 alpha 1) 2)) (/.f64 (pow.f64 (fma.f64 1/2 alpha 1/2) 2) (pow.f64 (fma.f64 1/2 alpha 1) 3)))) (+.f64 (/.f64 1 (fma.f64 1/2 alpha 1)) (*.f64 (/.f64 beta (pow.f64 (fma.f64 1/2 alpha 1) 2)) (fma.f64 1/2 alpha 1/2))))
(+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1/2 (/.f64 alpha (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 1/2 (*.f64 1/2 alpha)) 2) (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 3))) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2)))))) (+.f64 (/.f64 (*.f64 beta (+.f64 1/2 (*.f64 1/2 alpha))) (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2)) (+.f64 (/.f64 1 (+.f64 1 (*.f64 1/2 alpha))) (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 -1 (/.f64 (+.f64 1/2 (*.f64 1/2 alpha)) (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1/2 (/.f64 alpha (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 1/2 (*.f64 1/2 alpha)) 2) (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 3))) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2))))) (+.f64 1/2 (*.f64 1/2 alpha))) (+.f64 1 (*.f64 1/2 alpha)))) (/.f64 (*.f64 (-.f64 1/2 (*.f64 -1/2 alpha)) (+.f64 1/2 (*.f64 1/2 alpha))) (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 3)))))))))
(fma.f64 (*.f64 beta beta) (-.f64 (/.f64 (*.f64 alpha -1/2) (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2)) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 1/2 (*.f64 1/2 alpha)) 2) (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 3)) (/.f64 1/2 (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2)))) (+.f64 (+.f64 (/.f64 1 (+.f64 1 (*.f64 1/2 alpha))) (/.f64 (*.f64 beta (+.f64 1/2 (*.f64 1/2 alpha))) (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2))) (neg.f64 (*.f64 (pow.f64 beta 3) (fma.f64 -1 (/.f64 (+.f64 1/2 (*.f64 1/2 alpha)) (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2)) (fma.f64 -1 (/.f64 (-.f64 (/.f64 (*.f64 alpha -1/2) (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2)) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 1/2 (*.f64 1/2 alpha)) 2) (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 3)) (/.f64 1/2 (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2)))) (/.f64 (+.f64 1 (*.f64 1/2 alpha)) (+.f64 1/2 (*.f64 1/2 alpha)))) (/.f64 (pow.f64 (+.f64 1/2 (*.f64 1/2 alpha)) 2) (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 3))))))))
(+.f64 (-.f64 (/.f64 1 (fma.f64 1/2 alpha 1)) (*.f64 (pow.f64 beta 3) (-.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 1/2 alpha 1/2) 2) (pow.f64 (fma.f64 1/2 alpha 1) 3)) (*.f64 (/.f64 (-.f64 (/.f64 (*.f64 alpha -1/2) (pow.f64 (fma.f64 1/2 alpha 1) 2)) (-.f64 (/.f64 1/2 (pow.f64 (fma.f64 1/2 alpha 1) 2)) (/.f64 (pow.f64 (fma.f64 1/2 alpha 1/2) 2) (pow.f64 (fma.f64 1/2 alpha 1) 3)))) (fma.f64 1/2 alpha 1)) (fma.f64 1/2 alpha 1/2))) (/.f64 (fma.f64 1/2 alpha 1/2) (pow.f64 (fma.f64 1/2 alpha 1) 2))))) (fma.f64 (*.f64 beta beta) (-.f64 (/.f64 (*.f64 alpha -1/2) (pow.f64 (fma.f64 1/2 alpha 1) 2)) (-.f64 (/.f64 1/2 (pow.f64 (fma.f64 1/2 alpha 1) 2)) (/.f64 (pow.f64 (fma.f64 1/2 alpha 1/2) 2) (pow.f64 (fma.f64 1/2 alpha 1) 3)))) (*.f64 (/.f64 beta (pow.f64 (fma.f64 1/2 alpha 1) 2)) (fma.f64 1/2 alpha 1/2))))
2
(+.f64 2 (*.f64 -4 (/.f64 (+.f64 1/2 (*.f64 1/2 alpha)) beta)))
(fma.f64 -4 (/.f64 (fma.f64 1/2 alpha 1/2) beta) 2)
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 (+.f64 1/2 (*.f64 1/2 alpha)) beta)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -8 (pow.f64 (+.f64 1/2 (*.f64 1/2 alpha)) 2)) (*.f64 4 (-.f64 (*.f64 -3/2 alpha) (+.f64 1/2 (*.f64 -1 alpha))))) (pow.f64 beta 2)))))
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(-.f64 (fma.f64 -4 (/.f64 (fma.f64 1/2 alpha 1/2) beta) 2) (/.f64 (fma.f64 (pow.f64 (fma.f64 1/2 alpha 1/2) 2) -8 (*.f64 4 (fma.f64 alpha -1/2 -1/2))) (*.f64 beta beta)))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 (+.f64 1/2 (*.f64 1/2 alpha)) beta)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 4 (-.f64 (+.f64 1/2 (*.f64 4 alpha)) (+.f64 (*.f64 5/2 alpha) (*.f64 -2 (-.f64 (*.f64 -3/2 alpha) (*.f64 -1 alpha)))))) (+.f64 (*.f64 -2 (*.f64 (+.f64 (*.f64 -8 (pow.f64 (+.f64 1/2 (*.f64 1/2 alpha)) 2)) (*.f64 4 (-.f64 (*.f64 -3/2 alpha) (+.f64 1/2 (*.f64 -1 alpha))))) (+.f64 1/2 (*.f64 1/2 alpha)))) (*.f64 -8 (*.f64 (-.f64 (*.f64 -3/2 alpha) (+.f64 1/2 (*.f64 -1 alpha))) (+.f64 1/2 (*.f64 1/2 alpha)))))) (pow.f64 beta 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -8 (pow.f64 (+.f64 1/2 (*.f64 1/2 alpha)) 2)) (*.f64 4 (-.f64 (*.f64 -3/2 alpha) (+.f64 1/2 (*.f64 -1 alpha))))) (pow.f64 beta 2))))))
(+.f64 2 (fma.f64 -4 (/.f64 (+.f64 1/2 (*.f64 1/2 alpha)) beta) (*.f64 -1 (+.f64 (/.f64 (fma.f64 4 (-.f64 (+.f64 1/2 (*.f64 4 alpha)) (fma.f64 5/2 alpha (*.f64 -2 (*.f64 alpha -1/2)))) (fma.f64 -2 (*.f64 (+.f64 1/2 (*.f64 1/2 alpha)) (fma.f64 -8 (pow.f64 (+.f64 1/2 (*.f64 1/2 alpha)) 2) (*.f64 4 (-.f64 (-.f64 (*.f64 alpha -3/2) 1/2) (neg.f64 alpha))))) (*.f64 -8 (*.f64 (+.f64 1/2 (*.f64 1/2 alpha)) (-.f64 (-.f64 (*.f64 alpha -3/2) 1/2) (neg.f64 alpha)))))) (pow.f64 beta 3)) (/.f64 (fma.f64 -8 (pow.f64 (+.f64 1/2 (*.f64 1/2 alpha)) 2) (*.f64 4 (-.f64 (-.f64 (*.f64 alpha -3/2) 1/2) (neg.f64 alpha)))) (*.f64 beta beta))))))
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(-.f64 (-.f64 (fma.f64 -4 (/.f64 (fma.f64 1/2 alpha 1/2) beta) 2) (/.f64 (fma.f64 (pow.f64 (fma.f64 1/2 alpha 1/2) 2) -8 (*.f64 4 (fma.f64 alpha -1/2 -1/2))) (*.f64 beta beta))) (/.f64 (fma.f64 4 (-.f64 (fma.f64 4 alpha 1/2) (fma.f64 alpha 5/2 alpha)) (*.f64 (fma.f64 1/2 alpha 1/2) (+.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 1/2 alpha 1/2) 2) -8 (*.f64 4 (fma.f64 alpha -1/2 -1/2))) -2) (*.f64 -8 (fma.f64 alpha -1/2 -1/2))))) (pow.f64 beta 3)))
2
(+.f64 2 (*.f64 4 (/.f64 (-.f64 (*.f64 -1/2 alpha) 1/2) beta)))
(+.f64 2 (*.f64 4 (/.f64 (fma.f64 -1/2 alpha -1/2) beta)))
(fma.f64 4 (/.f64 (fma.f64 alpha -1/2 -1/2) beta) 2)
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 4 (-.f64 (*.f64 -3/2 alpha) (+.f64 1/2 (*.f64 -1 alpha)))) (*.f64 -8 (pow.f64 (-.f64 (*.f64 -1/2 alpha) 1/2) 2))) (pow.f64 beta 2))) (*.f64 4 (/.f64 (-.f64 (*.f64 -1/2 alpha) 1/2) beta))))
(+.f64 2 (fma.f64 -1 (/.f64 (fma.f64 4 (-.f64 (-.f64 (*.f64 alpha -3/2) 1/2) (neg.f64 alpha)) (*.f64 -8 (pow.f64 (fma.f64 -1/2 alpha -1/2) 2))) (*.f64 beta beta)) (*.f64 4 (/.f64 (fma.f64 -1/2 alpha -1/2) beta))))
(+.f64 2 (-.f64 (*.f64 4 (/.f64 (fma.f64 alpha -1/2 -1/2) beta)) (/.f64 (fma.f64 4 (fma.f64 alpha -1/2 -1/2) (*.f64 -8 (pow.f64 (fma.f64 alpha -1/2 -1/2) 2))) (*.f64 beta beta))))
(-.f64 (fma.f64 4 (/.f64 (fma.f64 alpha -1/2 -1/2) beta) 2) (/.f64 (fma.f64 4 (fma.f64 alpha -1/2 -1/2) (*.f64 -8 (pow.f64 (fma.f64 alpha -1/2 -1/2) 2))) (*.f64 beta beta)))
(+.f64 (*.f64 4 (/.f64 (-.f64 (*.f64 -4 alpha) (+.f64 1/2 (+.f64 (*.f64 -5/2 alpha) (*.f64 2 (-.f64 (*.f64 -3/2 alpha) (*.f64 -1 alpha)))))) (pow.f64 beta 3))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 (*.f64 4 (-.f64 (*.f64 -3/2 alpha) (+.f64 1/2 (*.f64 -1 alpha)))) (*.f64 -8 (pow.f64 (-.f64 (*.f64 -1/2 alpha) 1/2) 2))) (-.f64 (*.f64 -1/2 alpha) 1/2)) (pow.f64 beta 3))) (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 4 (-.f64 (*.f64 -3/2 alpha) (+.f64 1/2 (*.f64 -1 alpha)))) (*.f64 -8 (pow.f64 (-.f64 (*.f64 -1/2 alpha) 1/2) 2))) (pow.f64 beta 2))) (+.f64 (*.f64 -8 (/.f64 (*.f64 (-.f64 (*.f64 -1/2 alpha) 1/2) (-.f64 (*.f64 -3/2 alpha) (+.f64 1/2 (*.f64 -1 alpha)))) (pow.f64 beta 3))) (*.f64 4 (/.f64 (-.f64 (*.f64 -1/2 alpha) 1/2) beta)))))))
(fma.f64 4 (/.f64 (-.f64 (-.f64 (*.f64 alpha -4) 1/2) (fma.f64 -5/2 alpha (*.f64 2 (*.f64 alpha -1/2)))) (pow.f64 beta 3)) (fma.f64 -2 (/.f64 (fma.f64 4 (-.f64 (-.f64 (*.f64 alpha -3/2) 1/2) (neg.f64 alpha)) (*.f64 -8 (pow.f64 (fma.f64 -1/2 alpha -1/2) 2))) (/.f64 (pow.f64 beta 3) (fma.f64 -1/2 alpha -1/2))) (+.f64 2 (fma.f64 -1 (/.f64 (fma.f64 4 (-.f64 (-.f64 (*.f64 alpha -3/2) 1/2) (neg.f64 alpha)) (*.f64 -8 (pow.f64 (fma.f64 -1/2 alpha -1/2) 2))) (*.f64 beta beta)) (fma.f64 -8 (/.f64 (fma.f64 -1/2 alpha -1/2) (/.f64 (pow.f64 beta 3) (-.f64 (-.f64 (*.f64 alpha -3/2) 1/2) (neg.f64 alpha)))) (*.f64 4 (/.f64 (fma.f64 -1/2 alpha -1/2) beta)))))))
(fma.f64 4 (/.f64 (-.f64 (fma.f64 alpha -4 -1/2) (fma.f64 alpha -5/2 (neg.f64 alpha))) (pow.f64 beta 3)) (+.f64 (-.f64 (fma.f64 4 (/.f64 (fma.f64 alpha -1/2 -1/2) beta) (/.f64 (*.f64 -8 (pow.f64 (fma.f64 alpha -1/2 -1/2) 2)) (pow.f64 beta 3))) (/.f64 (fma.f64 4 (fma.f64 alpha -1/2 -1/2) (*.f64 -8 (pow.f64 (fma.f64 alpha -1/2 -1/2) 2))) (*.f64 beta beta))) (fma.f64 -2 (*.f64 (/.f64 (fma.f64 4 (fma.f64 alpha -1/2 -1/2) (*.f64 -8 (pow.f64 (fma.f64 alpha -1/2 -1/2) 2))) (pow.f64 beta 3)) (fma.f64 alpha -1/2 -1/2)) 2)))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (*.f64 (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (+.f64 beta 2)))) alpha))) (/.f64 beta (+.f64 beta 2))))
(+.f64 1 (fma.f64 -1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (*.f64 alpha (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (*.f64 (+.f64 beta 2) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)))))) (/.f64 beta (+.f64 beta 2))))
(+.f64 1 (-.f64 (/.f64 beta (+.f64 beta 2)) (*.f64 alpha (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 1 (+.f64 beta 2)) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)))))))
(+.f64 (*.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (+.f64 beta 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 3) (*.f64 (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (+.f64 beta 2)))) (pow.f64 alpha 2)))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (*.f64 (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (+.f64 beta 2)))) alpha))) (/.f64 beta (+.f64 beta 2)))))
(fma.f64 (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (*.f64 (+.f64 beta 2) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)))) (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 3) (*.f64 (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (*.f64 (+.f64 beta 2) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)))) (*.f64 alpha alpha))) (+.f64 1 (fma.f64 -1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (*.f64 alpha (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (*.f64 (+.f64 beta 2) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)))))) (/.f64 beta (+.f64 beta 2)))))
(+.f64 1 (+.f64 (-.f64 (/.f64 beta (+.f64 beta 2)) (*.f64 alpha (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 1 (+.f64 beta 2)) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)))))) (*.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 3) (pow.f64 (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 1 (+.f64 beta 2)) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2))) 2)) (*.f64 alpha alpha))))
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(+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 3) (*.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (pow.f64 alpha 2)))) (+.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 4) (*.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 3) (pow.f64 alpha 3))) (/.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha))))
(fma.f64 -1 (/.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 3) (*.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2))) (+.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (*.f64 alpha (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))))) (/.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 4) (*.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 3)))))
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(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 4) (pow.f64 (*.f64 alpha (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2)))) 3)) (-.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (*.f64 alpha (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))))) (/.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 5) (*.f64 (pow.f64 alpha 4) (pow.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) 4))))) (/.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 3) (pow.f64 (*.f64 alpha (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2)))) 2)))
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(*.f64 1/2 alpha)
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(fma.f64 1/2 alpha (*.f64 -1/8 (*.f64 (*.f64 beta beta) alpha)))
(*.f64 alpha (+.f64 1/2 (*.f64 (*.f64 beta beta) -1/8)))
(+.f64 (*.f64 1/8 (*.f64 (pow.f64 beta 3) alpha)) (+.f64 (*.f64 1/2 alpha) (*.f64 -1/8 (*.f64 (pow.f64 beta 2) alpha))))
(fma.f64 1/8 (*.f64 (pow.f64 beta 3) alpha) (fma.f64 1/2 alpha (*.f64 -1/8 (*.f64 (*.f64 beta beta) alpha))))
(fma.f64 1/8 (*.f64 (pow.f64 beta 3) alpha) (*.f64 alpha (+.f64 1/2 (*.f64 (*.f64 beta beta) -1/8))))
(+.f64 (*.f64 -3/32 (*.f64 (pow.f64 beta 4) alpha)) (+.f64 (*.f64 1/8 (*.f64 (pow.f64 beta 3) alpha)) (+.f64 (*.f64 1/2 alpha) (*.f64 -1/8 (*.f64 (pow.f64 beta 2) alpha)))))
(fma.f64 -3/32 (*.f64 (pow.f64 beta 4) alpha) (fma.f64 1/8 (*.f64 (pow.f64 beta 3) alpha) (fma.f64 1/2 alpha (*.f64 -1/8 (*.f64 (*.f64 beta beta) alpha)))))
(fma.f64 -3/32 (*.f64 (pow.f64 beta 4) alpha) (fma.f64 1/8 (*.f64 (pow.f64 beta 3) alpha) (*.f64 alpha (+.f64 1/2 (*.f64 (*.f64 beta beta) -1/8)))))
(*.f64 2 (/.f64 alpha beta))
(+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 -6 (/.f64 alpha (pow.f64 beta 2))))
(fma.f64 2 (/.f64 alpha beta) (*.f64 -6 (/.f64 alpha (*.f64 beta beta))))
(fma.f64 2 (/.f64 alpha beta) (*.f64 (/.f64 -6 beta) (/.f64 alpha beta)))
(+.f64 (*.f64 16 (/.f64 alpha (pow.f64 beta 3))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 -6 (/.f64 alpha (pow.f64 beta 2)))))
(fma.f64 16 (/.f64 alpha (pow.f64 beta 3)) (fma.f64 2 (/.f64 alpha beta) (*.f64 -6 (/.f64 alpha (*.f64 beta beta)))))
(fma.f64 16 (/.f64 alpha (pow.f64 beta 3)) (fma.f64 2 (/.f64 alpha beta) (*.f64 (/.f64 -6 beta) (/.f64 alpha beta))))
(+.f64 (*.f64 16 (/.f64 alpha (pow.f64 beta 3))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (+.f64 (*.f64 -40 (/.f64 alpha (pow.f64 beta 4))) (*.f64 -6 (/.f64 alpha (pow.f64 beta 2))))))
(fma.f64 16 (/.f64 alpha (pow.f64 beta 3)) (fma.f64 2 (/.f64 alpha beta) (fma.f64 -40 (/.f64 alpha (pow.f64 beta 4)) (*.f64 -6 (/.f64 alpha (*.f64 beta beta))))))
(fma.f64 16 (/.f64 alpha (pow.f64 beta 3)) (fma.f64 2 (/.f64 alpha beta) (fma.f64 -6 (/.f64 alpha (*.f64 beta beta)) (/.f64 -40 (/.f64 (pow.f64 beta 4) alpha)))))
(*.f64 2 (/.f64 alpha beta))
(+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 -6 (/.f64 alpha (pow.f64 beta 2))))
(fma.f64 2 (/.f64 alpha beta) (*.f64 -6 (/.f64 alpha (*.f64 beta beta))))
(fma.f64 2 (/.f64 alpha beta) (*.f64 (/.f64 -6 beta) (/.f64 alpha beta)))
(+.f64 (*.f64 16 (/.f64 alpha (pow.f64 beta 3))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 -6 (/.f64 alpha (pow.f64 beta 2)))))
(fma.f64 16 (/.f64 alpha (pow.f64 beta 3)) (fma.f64 2 (/.f64 alpha beta) (*.f64 -6 (/.f64 alpha (*.f64 beta beta)))))
(fma.f64 16 (/.f64 alpha (pow.f64 beta 3)) (fma.f64 2 (/.f64 alpha beta) (*.f64 (/.f64 -6 beta) (/.f64 alpha beta))))
(+.f64 (*.f64 16 (/.f64 alpha (pow.f64 beta 3))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (+.f64 (*.f64 -40 (/.f64 alpha (pow.f64 beta 4))) (*.f64 -6 (/.f64 alpha (pow.f64 beta 2))))))
(fma.f64 16 (/.f64 alpha (pow.f64 beta 3)) (fma.f64 2 (/.f64 alpha beta) (fma.f64 -40 (/.f64 alpha (pow.f64 beta 4)) (*.f64 -6 (/.f64 alpha (*.f64 beta beta))))))
(fma.f64 16 (/.f64 alpha (pow.f64 beta 3)) (fma.f64 2 (/.f64 alpha beta) (fma.f64 -6 (/.f64 alpha (*.f64 beta beta)) (/.f64 -40 (/.f64 (pow.f64 beta 4) alpha)))))
1
(+.f64 beta 1)
(+.f64 beta (+.f64 1 (*.f64 -1/4 (pow.f64 beta 2))))
(+.f64 (+.f64 beta 1) (*.f64 -1/4 (*.f64 beta beta)))
(+.f64 beta (fma.f64 -1/4 (*.f64 beta beta) 1))
(+.f64 beta (+.f64 (*.f64 1/16 (pow.f64 beta 4)) (+.f64 1 (*.f64 -1/4 (pow.f64 beta 2)))))
(+.f64 beta (fma.f64 1/16 (pow.f64 beta 4) (+.f64 (*.f64 -1/4 (*.f64 beta beta)) 1)))
(+.f64 beta (fma.f64 (pow.f64 beta 4) 1/16 (fma.f64 -1/4 (*.f64 beta beta) 1)))
4
(-.f64 4 (*.f64 8 (/.f64 1 beta)))
(-.f64 4 (/.f64 8 beta))
(+.f64 4 (/.f64 -8 beta))
(-.f64 (+.f64 4 (*.f64 20 (/.f64 1 (pow.f64 beta 2)))) (*.f64 8 (/.f64 1 beta)))
(+.f64 4 (-.f64 (/.f64 20 (*.f64 beta beta)) (/.f64 8 beta)))
(+.f64 4 (+.f64 (/.f64 20 (*.f64 beta beta)) (/.f64 -8 beta)))
(-.f64 (+.f64 4 (*.f64 20 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 beta)) (*.f64 48 (/.f64 1 (pow.f64 beta 3)))))
(+.f64 4 (-.f64 (/.f64 20 (*.f64 beta beta)) (+.f64 (/.f64 8 beta) (/.f64 48 (pow.f64 beta 3)))))
(+.f64 (/.f64 20 (*.f64 beta beta)) (-.f64 4 (+.f64 (/.f64 8 beta) (/.f64 48 (pow.f64 beta 3)))))
(+.f64 4 (+.f64 (/.f64 20 (*.f64 beta beta)) (-.f64 (/.f64 -8 beta) (/.f64 48 (pow.f64 beta 3)))))
4
(-.f64 4 (*.f64 8 (/.f64 1 beta)))
(-.f64 4 (/.f64 8 beta))
(+.f64 4 (/.f64 -8 beta))
(-.f64 (+.f64 4 (*.f64 20 (/.f64 1 (pow.f64 beta 2)))) (*.f64 8 (/.f64 1 beta)))
(+.f64 4 (-.f64 (/.f64 20 (*.f64 beta beta)) (/.f64 8 beta)))
(+.f64 4 (+.f64 (/.f64 20 (*.f64 beta beta)) (/.f64 -8 beta)))
(-.f64 (+.f64 4 (*.f64 20 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 beta)) (*.f64 48 (/.f64 1 (pow.f64 beta 3)))))
(+.f64 4 (-.f64 (/.f64 20 (*.f64 beta beta)) (+.f64 (/.f64 8 beta) (/.f64 48 (pow.f64 beta 3)))))
(+.f64 (/.f64 20 (*.f64 beta beta)) (-.f64 4 (+.f64 (/.f64 8 beta) (/.f64 48 (pow.f64 beta 3)))))
(+.f64 4 (+.f64 (/.f64 20 (*.f64 beta beta)) (-.f64 (/.f64 -8 beta) (/.f64 48 (pow.f64 beta 3)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) -2)))) 1)
(*.f64 beta (pow.f64 (+.f64 beta 2) -2))
(*.f64 beta (pow.f64 (+.f64 beta 2) -2))
(*.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) -2)) 1)
(*.f64 beta (pow.f64 (+.f64 beta 2) -2))
(*.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 2) -2)))
(*.f64 beta (pow.f64 (+.f64 beta 2) -2))
(*.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2)))
(*.f64 beta (pow.f64 (+.f64 beta 2) -2))
(*.f64 (sqrt.f64 beta) (*.f64 (sqrt.f64 beta) (pow.f64 (+.f64 beta 2) -2)))
(*.f64 beta (pow.f64 (+.f64 beta 2) -2))
(*.f64 (/.f64 (sqrt.f64 beta) (+.f64 beta 2)) (/.f64 (sqrt.f64 beta) (+.f64 beta 2)))
(*.f64 beta (pow.f64 (+.f64 beta 2) -2))
(*.f64 (pow.f64 (cbrt.f64 beta) 2) (*.f64 (cbrt.f64 beta) (pow.f64 (+.f64 beta 2) -2)))
(*.f64 beta (pow.f64 (+.f64 beta 2) -2))
(*.f64 (cbrt.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) -2))) (cbrt.f64 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 4))))
(*.f64 (cbrt.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) -2))) (cbrt.f64 (*.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 4)) beta)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 4))) (cbrt.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) -2))))
(*.f64 (cbrt.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) -2))) (cbrt.f64 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 4))))
(*.f64 (cbrt.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) -2))) (cbrt.f64 (*.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 4)) beta)))
(*.f64 (pow.f64 (+.f64 beta 2) -2) beta)
(*.f64 beta (pow.f64 (+.f64 beta 2) -2))
(*.f64 (neg.f64 beta) (/.f64 1 (neg.f64 (pow.f64 (+.f64 beta 2) 2))))
(*.f64 beta (pow.f64 (+.f64 beta 2) -2))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 beta 2) 4))) (/.f64 beta (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)))
(/.f64 (/.f64 beta (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (cbrt.f64 (pow.f64 (+.f64 beta 2) 4)))
(*.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (pow.f64 (+.f64 beta 2) 2)))
(*.f64 beta (pow.f64 (+.f64 beta 2) -2))
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(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 beta 2) 4))) (/.f64 beta (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)))
(/.f64 (/.f64 beta (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (cbrt.f64 (pow.f64 (+.f64 beta 2) 4)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (+.f64 beta 2)) (/.f64 (cbrt.f64 beta) (+.f64 beta 2)))
(*.f64 beta (pow.f64 (+.f64 beta 2) -2))
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(*.f64 beta (pow.f64 (+.f64 beta 2) -2))
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(*.f64 (cbrt.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) -2))) (/.f64 (pow.f64 (cbrt.f64 beta) 2) (cbrt.f64 (pow.f64 (+.f64 beta 2) 4))))
(pow.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) -2)) 1)
(*.f64 beta (pow.f64 (+.f64 beta 2) -2))
(pow.f64 (/.f64 (sqrt.f64 beta) (+.f64 beta 2)) 2)
(*.f64 beta (pow.f64 (+.f64 beta 2) -2))
(pow.f64 (cbrt.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) -2))) 3)
(*.f64 beta (pow.f64 (+.f64 beta 2) -2))
(pow.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) beta) -1)
(*.f64 beta (pow.f64 (+.f64 beta 2) -2))
(pow.f64 (pow.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) -2)) 3) 1/3)
(*.f64 beta (pow.f64 (+.f64 beta 2) -2))
(neg.f64 (/.f64 beta (neg.f64 (pow.f64 (+.f64 beta 2) 2))))
(*.f64 beta (pow.f64 (+.f64 beta 2) -2))
(sqrt.f64 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 4)))
(sqrt.f64 (*.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 4)) beta))
(log.f64 (pow.f64 (exp.f64 beta) (pow.f64 (+.f64 beta 2) -2)))
(*.f64 beta (pow.f64 (+.f64 beta 2) -2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) -2)))))
(*.f64 beta (pow.f64 (+.f64 beta 2) -2))
(cbrt.f64 (pow.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) -2)) 3))
(*.f64 beta (pow.f64 (+.f64 beta 2) -2))
(expm1.f64 (log1p.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) -2))))
(*.f64 beta (pow.f64 (+.f64 beta 2) -2))
(exp.f64 (log.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) -2))))
(*.f64 beta (pow.f64 (+.f64 beta 2) -2))
(exp.f64 (*.f64 (log.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) -2))) 1))
(*.f64 beta (pow.f64 (+.f64 beta 2) -2))
(log1p.f64 (expm1.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) -2))))
(*.f64 beta (pow.f64 (+.f64 beta 2) -2))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2) (exp.f64 (neg.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))))))))) 1)
(/.f64 1 (fma.f64 (*.f64 alpha (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2)))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2) (exp.f64 (neg.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2)))))))
(/.f64 1 (fma.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) (*.f64 alpha (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2)) (exp.f64 (neg.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2)))))))
(*.f64 1 (/.f64 1 (fma.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2) (exp.f64 (neg.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))))))))
(/.f64 1 (fma.f64 (*.f64 alpha (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2)))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2) (exp.f64 (neg.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2)))))))
(/.f64 1 (fma.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) (*.f64 alpha (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2)) (exp.f64 (neg.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2)))))))
(*.f64 (/.f64 1 (fma.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2) (exp.f64 (neg.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))))))) 1)
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(/.f64 1 (fma.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) (*.f64 alpha (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2)) (exp.f64 (neg.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2)))))))
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(*.f64 (/.f64 (-.f64 1 (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)) 2)) (-.f64 1 (/.f64 beta (+.f64 beta 2)))))
(/.f64 (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2))) (-.f64 1 (/.f64 beta (+.f64 beta 2))))
(/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (/.f64 (-.f64 1 (/.f64 beta (+.f64 beta 2))) (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) (-.f64 1 (/.f64 beta (+.f64 beta 2)))) (+.f64 1 (/.f64 beta (+.f64 beta 2))))
(/.f64 (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (+.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 (/.f64 beta (+.f64 beta 2))) (/.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (/.f64 beta (+.f64 beta 2)))) (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (-.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 (/.f64 beta (+.f64 beta 2)) 1))) (+.f64 1 (/.f64 beta (+.f64 beta 2))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (-.f64 1 (/.f64 beta (+.f64 beta 2))))
(/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (/.f64 (-.f64 1 (/.f64 beta (+.f64 beta 2))) (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) (-.f64 1 (/.f64 beta (+.f64 beta 2)))) (+.f64 1 (/.f64 beta (+.f64 beta 2))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (+.f64 1 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (/.f64 beta (+.f64 beta 2)))))
(/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (/.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (/.f64 beta (+.f64 beta 2)))) (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (-.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 (/.f64 beta (+.f64 beta 2)) 1))) (+.f64 1 (/.f64 beta (+.f64 beta 2))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3))) (*.f64 (-.f64 1 (/.f64 beta (+.f64 beta 2))) (+.f64 1 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (/.f64 beta (+.f64 beta 2))))))
(*.f64 (/.f64 (-.f64 1 (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 (-.f64 1 (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 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 (/.f64 beta (+.f64 beta 2)) 1))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2))) (*.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (/.f64 beta (+.f64 beta 2)))) (-.f64 1 (/.f64 beta (+.f64 beta 2)))))
(*.f64 (/.f64 (-.f64 1 (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 (-.f64 1 (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 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 (/.f64 beta (+.f64 beta 2)) 1))))
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 4))
(log.f64 (exp.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)))
(pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2))))
(pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) 3))
(pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)))
(pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)
(exp.f64 (*.f64 2 (log1p.f64 (/.f64 beta (+.f64 beta 2)))))
(pow.f64 (exp.f64 2) (log1p.f64 (/.f64 beta (+.f64 beta 2))))
(pow.f64 (exp.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2)))) 2)
(exp.f64 (*.f64 (*.f64 2 (log1p.f64 (/.f64 beta (+.f64 beta 2)))) 1))
(pow.f64 (exp.f64 2) (log1p.f64 (/.f64 beta (+.f64 beta 2))))
(pow.f64 (exp.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2)))) 2)
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)))
(pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)

localize5.0ms (0%)

Compiler

Compiled 12 to 9 computations (25% saved)

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 29 to 21 computations (27.6% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite61.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
118019
2243119
Stop Event
node limit
Counts
1 → 33
Calls
Call 1
Inputs
(+.f64 (/.f64 beta (+.f64 beta 2)) 1)
Outputs
((#(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)))))

simplify95.0ms (0.7%)

Algorithm
egg-herbie
Rules
1248×associate-*r/
1030×associate-*r*
1002×associate-*l/
862×associate-*l*
668×associate-+r+
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01081525
12651491
28141341
341571339
Stop Event
node limit
Counts
45 → 60
Calls
Call 1
Inputs
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 (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
1
(+.f64 1 (*.f64 1/2 beta))
(fma.f64 1/2 beta 1)
(+.f64 1 (+.f64 (*.f64 1/2 beta) (*.f64 -1/4 (pow.f64 beta 2))))
(+.f64 1 (fma.f64 1/2 beta (*.f64 -1/4 (*.f64 beta beta))))
(+.f64 1 (fma.f64 1/2 beta (*.f64 beta (*.f64 beta -1/4))))
(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 1 (fma.f64 1/2 beta (fma.f64 -1/4 (*.f64 beta beta) (*.f64 1/8 (pow.f64 beta 3)))))
(+.f64 1 (fma.f64 1/2 beta (*.f64 (*.f64 beta beta) (+.f64 (*.f64 beta 1/8) -1/4))))
(+.f64 1 (*.f64 beta (+.f64 1/2 (*.f64 beta (+.f64 -1/4 (*.f64 beta 1/8))))))
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 4 (*.f64 beta beta)) (/.f64 -2 beta)))
(+.f64 (+.f64 2 (/.f64 -2 beta)) (/.f64 4 (*.f64 beta 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 2 (/.f64 4 (*.f64 beta beta))) (/.f64 8 (pow.f64 beta 3))) (/.f64 2 beta))
(+.f64 (-.f64 (+.f64 2 (/.f64 4 (*.f64 beta beta))) (/.f64 8 (pow.f64 beta 3))) (/.f64 -2 beta))
(+.f64 2 (+.f64 (/.f64 4 (*.f64 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 4 (*.f64 beta beta)) (/.f64 -2 beta)))
(+.f64 (+.f64 2 (/.f64 -2 beta)) (/.f64 4 (*.f64 beta 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 2 (/.f64 4 (*.f64 beta beta))) (/.f64 8 (pow.f64 beta 3))) (/.f64 2 beta))
(+.f64 (-.f64 (+.f64 2 (/.f64 4 (*.f64 beta beta))) (/.f64 8 (pow.f64 beta 3))) (/.f64 -2 beta))
(+.f64 2 (+.f64 (/.f64 4 (*.f64 beta beta)) (+.f64 (/.f64 -2 beta) (/.f64 -8 (pow.f64 beta 3)))))
(-.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 (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)) 2)) (-.f64 1 (/.f64 beta (+.f64 beta 2))))
(*.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 (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)) 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 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) 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 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (/.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 (/.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 (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)) 2)) (-.f64 1 (/.f64 beta (+.f64 beta 2))))
(/.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 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) 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 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (/.f64 beta (+.f64 beta 2)))))
(/.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 1 (/.f64 beta (+.f64 beta 2))))
(/.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 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) 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 (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 beta (+.f64 beta 2)))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) 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)) 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 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1) (+.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 (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)) 2)) (-.f64 1 (/.f64 beta (+.f64 beta 2))))
(/.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 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) 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 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (/.f64 beta (+.f64 beta 2)))))
(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)))

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 alpha (+.f64 alpha 2))
0.0b
(/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))
0.0b
(/.f64 1 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
1.5b
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
Compiler

Compiled 53 to 41 computations (22.6% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite82.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1334×associate-/r*
940×*-commutative
936×associate-/l*
668×associate-/r/
468×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01044
123344
2293444
Stop Event
node limit
Counts
2 → 129
Calls
Call 1
Inputs
(/.f64 1 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 alpha (-.f64 -2 alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (/.f64 alpha (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (/.f64 alpha (+.f64 alpha 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 2 (/.f64 alpha (-.f64 -2 alpha))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) (/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) (+.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (pow.f64 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simplify161.0ms (1.1%)

Algorithm
egg-herbie
Rules
1584×distribute-lft-in
1532×distribute-rgt-in
952×associate-/r/
772×associate-/l/
492×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03406659
19986335
235306335
Stop Event
node limit
Counts
153 → 214
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))))
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(*.f64 (/.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (-.f64 1 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)))
(*.f64 (/.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (-.f64 1 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) 3))) (+.f64 1 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)))))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)))) (sqrt.f64 (/.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))) (cbrt.f64 (/.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))))) (cbrt.f64 (/.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) -1/2))) (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) -1/2))
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) -2)))) (/.f64 -1 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))))
(pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) -1)
(pow.f64 (/.f64 1 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 1)
(pow.f64 (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) -1/2) 2)
(pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 3) 1/3)
(neg.f64 (/.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)))
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))))
(exp.f64 (neg.f64 (log1p.f64 (/.f64 alpha (-.f64 -2 alpha)))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))))
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 (*.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 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 2 alpha) (-.f64 (/.f64 8 (pow.f64 alpha 3)) (/.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 (/.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 (/.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 2 alpha) (-.f64 (/.f64 8 (pow.f64 alpha 3)) (/.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 (/.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 (/.f64 2 alpha) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 -4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4)))))
1
(+.f64 1 (*.f64 1/2 alpha))
(+.f64 1 (*.f64 alpha 1/2))
(fma.f64 alpha 1/2 1)
(+.f64 1 (*.f64 1/2 alpha))
(+.f64 1 (*.f64 alpha 1/2))
(fma.f64 alpha 1/2 1)
(+.f64 1 (*.f64 1/2 alpha))
(+.f64 1 (*.f64 alpha 1/2))
(fma.f64 alpha 1/2 1)
(*.f64 1/2 alpha)
(*.f64 alpha 1/2)
(+.f64 1 (*.f64 1/2 alpha))
(+.f64 1 (*.f64 alpha 1/2))
(fma.f64 alpha 1/2 1)
(+.f64 1 (*.f64 1/2 alpha))
(+.f64 1 (*.f64 alpha 1/2))
(fma.f64 alpha 1/2 1)
(+.f64 1 (*.f64 1/2 alpha))
(+.f64 1 (*.f64 alpha 1/2))
(fma.f64 alpha 1/2 1)
(*.f64 1/2 alpha)
(*.f64 alpha 1/2)
(+.f64 1 (*.f64 1/2 alpha))
(+.f64 1 (*.f64 alpha 1/2))
(fma.f64 alpha 1/2 1)
(+.f64 1 (*.f64 1/2 alpha))
(+.f64 1 (*.f64 alpha 1/2))
(fma.f64 alpha 1/2 1)
(+.f64 1 (*.f64 1/2 alpha))
(+.f64 1 (*.f64 alpha 1/2))
(fma.f64 alpha 1/2 1)
(+.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)
(neg.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(neg.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(-.f64 0 (-.f64 (/.f64 alpha (+.f64 alpha 2)) 1))
(neg.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(-.f64 (exp.f64 (log.f64 (+.f64 2 (/.f64 alpha (-.f64 -2 alpha))))) 1)
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(-.f64 (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(-.f64 (/.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) (/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) (+.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))
(-.f64 (/.f64 1 (+.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) (+.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))
(-.f64 (/.f64 1 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) (/.f64 (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 1 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(*.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 1)
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) (neg.f64 (neg.f64 (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))))
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2))
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2) (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2) (neg.f64 (neg.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))))
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(*.f64 (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (/.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) 1) (+.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))
(*.f64 -1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(neg.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(*.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1) -1)
(neg.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) (neg.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))))
(neg.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(*.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))) (neg.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))))
(neg.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) -2))) (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))
(/.f64 (*.f64 1 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))) (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) -2)))
(/.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) -2)))
(*.f64 (neg.f64 (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))) (neg.f64 (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))))
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2)) (neg.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))))
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(*.f64 (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(*.f64 (/.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (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)) 3)) 1) (+.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) -1/2) -1) (pow.f64 (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) -1/2) -1))
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) -2)) -1) (pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))) -1))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) -2))) (/.f64 1 (/.f64 -1 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)))))
(*.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) (/.f64 -1 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) -2))))
(*.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))) -1) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) -2)) -1))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) -2))) (/.f64 1 (/.f64 -1 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)))))
(*.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) (/.f64 -1 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) -2))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 1) (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2) 1) (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) -2))) 1) (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))
(/.f64 (*.f64 1 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))) (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) -2)))
(/.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) -2)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(*.f64 (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2))) (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) (sqrt.f64 -1)) (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) (/.f64 (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) (sqrt.f64 -1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2) -1) (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)))
(*.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2) -1))
(*.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2)))
(*.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)) 2)) (+.f64 1 (-.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) (/.f64 alpha (+.f64 alpha 2))))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)))
(*.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 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))
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(/.f64 -1 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2) (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))))
(*.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) -2)))) (/.f64 -1 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))))
(/.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) -2))) (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -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 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))
(/.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))
(*.f64 (/.f64 1 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)))) (neg.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) 1))
(/.f64 (+.f64 (+.f64 1 (/.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 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) -1))
(*.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 (/.f64 alpha (+.f64 alpha 2)))) (-.f64 1 (*.f64 (/.f64 alpha (-.f64 -2 alpha)) (/.f64 alpha (-.f64 -2 alpha)))))
(/.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (-.f64 1 (*.f64 (/.f64 alpha (-.f64 -2 alpha)) (/.f64 alpha (-.f64 -2 alpha)))))
(*.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 (+.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 (fma.f64 (/.f64 alpha (-.f64 -2 alpha)) (+.f64 (/.f64 alpha (-.f64 -2 alpha)) -1) 1) (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 3)))
(*.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) -1/2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))) (/.f64 (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) -1/2) (sqrt.f64 -1)))
(*.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) -1/2) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) (sqrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(*.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) -1/2) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)))) (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))
(*.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) -1/2) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)))) (sqrt.f64 (+.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))
(*.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) -1/2) (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 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) -2)) -1) (cbrt.f64 (/.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))) (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) -2)) -1))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))) (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) -2))))
(*.f64 (/.f64 (cbrt.f64 (pow.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 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) -2)) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)))) (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) -2)) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)))) (cbrt.f64 (+.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))
(*.f64 (/.f64 (cbrt.f64 (pow.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 -1 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) (+.f64 1 (/.f64 alpha (+.f64 alpha 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 alpha (+.f64 alpha 2))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))
(*.f64 (/.f64 -1 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)))) (+.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) 1))
(/.f64 (+.f64 (+.f64 1 (/.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 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) -1))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2)) -1) (cbrt.f64 (/.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))) (/.f64 1 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2))))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))) (/.f64 -1 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2)))
(*.f64 (/.f64 (/.f64 1 (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 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2)) (cbrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (/.f64 1 (*.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))))))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2)) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (cbrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))))
(*.f64 (/.f64 (/.f64 1 (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 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))
(*.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) (/.f64 1 (*.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))))
(*.f64 (cbrt.f64 (+.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (/.f64 1 (*.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))))))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2)) (/.f64 (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 alpha (+.f64 alpha 2))) (-.f64 1 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))
(*.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (/.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 4))))
(*.f64 (/.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (-.f64 1 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) 3))) (+.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 alpha (+.f64 alpha 2))) (-.f64 1 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) 3))) (+.f64 1 (+.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) 1) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 4))))
(*.f64 (/.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 6))) (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 4))))
(*.f64 (/.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (-.f64 1 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)))
(*.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (/.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 6))))
(*.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (/.f64 (+.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 6))))
(*.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))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 6))))
(*.f64 (/.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (-.f64 1 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) 3))) (+.f64 1 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)))))
(*.f64 (/.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (-.f64 1 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) 3))) (+.f64 1 (+.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) 1) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 6))))
(/.f64 (+.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (/.f64 (-.f64 1 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) 3)) (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 6)))))
(*.f64 (/.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (-.f64 1 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) 3))) (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 6))))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)))) (sqrt.f64 (/.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))))
(/.f64 -1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))) (cbrt.f64 (/.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))))) (cbrt.f64 (/.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))))
(/.f64 -1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) -1/2))) (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) -1/2))
(/.f64 1 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) -2)))) (/.f64 -1 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))))
(/.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) -2))) (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)))
(pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) -1)
(/.f64 1 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))
(pow.f64 (/.f64 1 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 1)
(/.f64 1 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))
(pow.f64 (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) -1/2) 2)
(/.f64 1 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))
(pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))) 3)
(/.f64 -1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(pow.f64 (pow.f64 (/.f64 1 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 3) 1/3)
(/.f64 1 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))
(neg.f64 (/.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)))
(/.f64 -1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) -2))
(fabs.f64 (/.f64 1 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))))
(/.f64 1 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))))
(/.f64 1 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 3))
(/.f64 1 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))))
(/.f64 1 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))
(exp.f64 (neg.f64 (log1p.f64 (/.f64 alpha (-.f64 -2 alpha)))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))))
(/.f64 1 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))

localize25.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (+.f64 2 (*.f64 alpha 2)) beta)
0.5b
(/.f64 1 (+.f64 1/2 (*.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 1/4)))
Compiler

Compiled 71 to 57 computations (19.7% saved)

series5.0ms (0%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
alpha
@0
(/.f64 1 (+.f64 1/2 (*.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 1/4)))
0.0ms
alpha
@inf
(/.f64 1 (+.f64 1/2 (*.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 1/4)))
0.0ms
beta
@0
(/.f64 1 (+.f64 1/2 (*.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 1/4)))
0.0ms
alpha
@-inf
(/.f64 1 (+.f64 1/2 (*.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 1/4)))
0.0ms
beta
@0
(/.f64 (+.f64 2 (*.f64 alpha 2)) beta)

rewrite108.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1600×associate-/r*
1054×associate-/l*
798×distribute-lft-in
570×associate-/r/
348×associate-/l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01456
130944
2399744
Stop Event
node limit
Counts
2 → 97
Calls
Call 1
Inputs
(/.f64 1 (+.f64 1/2 (*.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 1/4)))
(/.f64 (+.f64 2 (*.f64 alpha 2)) beta)
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 2 alpha 2) beta) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 beta (fma.f64 2 alpha 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 2 alpha 2) (neg.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 2 alpha 2) beta) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 2 alpha 2) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 2 alpha 2) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 2 alpha 2) beta) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 2 alpha 2) 3) (pow.f64 beta 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 2 alpha 2) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 2 alpha 2) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 2 alpha 2) beta)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 2 alpha 2) beta)))))))

simplify105.0ms (0.7%)

Algorithm
egg-herbie
Rules
1128×unswap-sqr
544×associate-*r*
538×+-commutative
506×associate-/r/
480×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03856685
111475995
246465993
Stop Event
node limit
Counts
145 → 218
Calls
Call 1
Inputs
(/.f64 1 (+.f64 (*.f64 1/2 (/.f64 1 beta)) 1/2))
(+.f64 (/.f64 1 (+.f64 (*.f64 1/2 (/.f64 1 beta)) 1/2)) (*.f64 -1/2 (/.f64 alpha (*.f64 beta (pow.f64 (+.f64 (*.f64 1/2 (/.f64 1 beta)) 1/2) 2)))))
(+.f64 (/.f64 1 (+.f64 (*.f64 1/2 (/.f64 1 beta)) 1/2)) (+.f64 (*.f64 -1/2 (/.f64 alpha (*.f64 beta (pow.f64 (+.f64 (*.f64 1/2 (/.f64 1 beta)) 1/2) 2)))) (*.f64 1/4 (/.f64 (pow.f64 alpha 2) (*.f64 (pow.f64 beta 2) (pow.f64 (+.f64 (*.f64 1/2 (/.f64 1 beta)) 1/2) 3))))))
(+.f64 (/.f64 1 (+.f64 (*.f64 1/2 (/.f64 1 beta)) 1/2)) (+.f64 (*.f64 -1/2 (/.f64 alpha (*.f64 beta (pow.f64 (+.f64 (*.f64 1/2 (/.f64 1 beta)) 1/2) 2)))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 alpha 3) (*.f64 (pow.f64 beta 3) (pow.f64 (+.f64 (*.f64 1/2 (/.f64 1 beta)) 1/2) 4)))) (*.f64 1/4 (/.f64 (pow.f64 alpha 2) (*.f64 (pow.f64 beta 2) (pow.f64 (+.f64 (*.f64 1/2 (/.f64 1 beta)) 1/2) 3)))))))
(*.f64 2 (/.f64 beta alpha))
(+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/2 (/.f64 1 beta)) 1/2)) (pow.f64 alpha 2))) (*.f64 2 (/.f64 beta alpha)))
(+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/2 (/.f64 1 beta)) 1/2)) (pow.f64 alpha 2))) (+.f64 (*.f64 8 (/.f64 (*.f64 (pow.f64 beta 3) (pow.f64 (+.f64 (*.f64 1/2 (/.f64 1 beta)) 1/2) 2)) (pow.f64 alpha 3))) (*.f64 2 (/.f64 beta alpha))))
(+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/2 (/.f64 1 beta)) 1/2)) (pow.f64 alpha 2))) (+.f64 (*.f64 8 (/.f64 (*.f64 (pow.f64 beta 3) (pow.f64 (+.f64 (*.f64 1/2 (/.f64 1 beta)) 1/2) 2)) (pow.f64 alpha 3))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 -16 (/.f64 (*.f64 (pow.f64 beta 4) (pow.f64 (+.f64 (*.f64 1/2 (/.f64 1 beta)) 1/2) 3)) (pow.f64 alpha 4))))))
(*.f64 2 (/.f64 beta alpha))
(+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/2 (/.f64 1 beta)) 1/2)) (pow.f64 alpha 2))) (*.f64 2 (/.f64 beta alpha)))
(+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/2 (/.f64 1 beta)) 1/2)) (pow.f64 alpha 2))) (+.f64 (*.f64 8 (/.f64 (*.f64 (pow.f64 beta 3) (pow.f64 (+.f64 (*.f64 1/2 (/.f64 1 beta)) 1/2) 2)) (pow.f64 alpha 3))) (*.f64 2 (/.f64 beta alpha))))
(+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/2 (/.f64 1 beta)) 1/2)) (pow.f64 alpha 2))) (+.f64 (*.f64 8 (/.f64 (*.f64 (pow.f64 beta 3) (pow.f64 (+.f64 (*.f64 1/2 (/.f64 1 beta)) 1/2) 2)) (pow.f64 alpha 3))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 -16 (/.f64 (*.f64 (pow.f64 beta 4) (pow.f64 (+.f64 (*.f64 1/2 (/.f64 1 beta)) 1/2) 3)) (pow.f64 alpha 4))))))
(*.f64 4 (/.f64 beta (+.f64 2 (*.f64 2 alpha))))
(+.f64 (*.f64 -8 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2))) (*.f64 4 (/.f64 beta (+.f64 2 (*.f64 2 alpha)))))
(+.f64 (*.f64 16 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 (*.f64 2 alpha)) 3))) (+.f64 (*.f64 -8 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2))) (*.f64 4 (/.f64 beta (+.f64 2 (*.f64 2 alpha))))))
(+.f64 (*.f64 16 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 (*.f64 2 alpha)) 3))) (+.f64 (*.f64 -32 (/.f64 (pow.f64 beta 4) (pow.f64 (+.f64 2 (*.f64 2 alpha)) 4))) (+.f64 (*.f64 -8 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2))) (*.f64 4 (/.f64 beta (+.f64 2 (*.f64 2 alpha)))))))
2
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2)
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2) (pow.f64 beta 2)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 (+.f64 2 (*.f64 2 alpha)) 3) (pow.f64 beta 3))) (+.f64 2 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2) (pow.f64 beta 2))))))
2
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2)
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2) (pow.f64 beta 2)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 (+.f64 2 (*.f64 2 alpha)) 3) (pow.f64 beta 3))) (+.f64 2 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2) (pow.f64 beta 2))))))
(/.f64 2 beta)
(+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta)))
(+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta)))
(+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta)))
(*.f64 2 (/.f64 alpha beta))
(+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 2 (/.f64 alpha beta)))
(+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 2 (/.f64 alpha beta)))
(+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 2 (/.f64 alpha beta)))
(*.f64 2 (/.f64 alpha beta))
(+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 2 (/.f64 alpha beta)))
(+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 2 (/.f64 alpha beta)))
(+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 2 (/.f64 alpha beta)))
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(+.f64 (*.f64 (/.f64 1 (-.f64 1/4 (pow.f64 (/.f64 (*.f64 (+.f64 1 alpha) 1/2) beta) 2))) 1/2) (*.f64 (/.f64 1 (-.f64 1/4 (pow.f64 (/.f64 (*.f64 (+.f64 1 alpha) 1/2) beta) 2))) (neg.f64 (/.f64 (*.f64 (+.f64 1 alpha) 1/2) beta))))
(+.f64 (*.f64 (/.f64 1 (-.f64 1/4 (pow.f64 (/.f64 (*.f64 (+.f64 1 alpha) 1/2) beta) 2))) 1/2) (*.f64 (/.f64 1 (-.f64 1/4 (pow.f64 (/.f64 (*.f64 (+.f64 1 alpha) 1/2) beta) 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) 1/2) beta))))
(+.f64 (*.f64 (/.f64 1 (-.f64 1/4 (pow.f64 (/.f64 (*.f64 (+.f64 1 alpha) 1/2) beta) 2))) 1/2) (*.f64 (/.f64 1 (-.f64 1/4 (pow.f64 (/.f64 (*.f64 (+.f64 1 alpha) 1/2) beta) 2))) (*.f64 (neg.f64 (/.f64 (fma.f64 2 alpha 2) beta)) 1/4)))
(+.f64 (*.f64 (/.f64 1 (-.f64 1/4 (pow.f64 (/.f64 (*.f64 (+.f64 1 alpha) 1/2) beta) 2))) 1/2) (*.f64 (/.f64 1 (-.f64 1/4 (pow.f64 (/.f64 (*.f64 (+.f64 1 alpha) 1/2) beta) 2))) (*.f64 -1/4 (/.f64 (fma.f64 2 alpha 2) beta))))
(+.f64 (*.f64 (/.f64 1 (-.f64 1/4 (pow.f64 (/.f64 (*.f64 (+.f64 1 alpha) 1/2) beta) 2))) 1/2) (*.f64 (/.f64 1 (-.f64 1/4 (pow.f64 (/.f64 (*.f64 (+.f64 1 alpha) 1/2) beta) 2))) (*.f64 (neg.f64 (sqrt.f64 (/.f64 (*.f64 (+.f64 1 alpha) 1/2) beta))) (sqrt.f64 (/.f64 (*.f64 (+.f64 1 alpha) 1/2) beta)))))
(+.f64 (*.f64 (/.f64 1 (-.f64 1/4 (pow.f64 (/.f64 (*.f64 (+.f64 1 alpha) 1/2) beta) 2))) 1/2) (*.f64 (/.f64 1 (-.f64 1/4 (pow.f64 (/.f64 (*.f64 (+.f64 1 alpha) 1/2) beta) 2))) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 (+.f64 1 alpha) 1/2) beta)) 2)) (cbrt.f64 (/.f64 (*.f64 (+.f64 1 alpha) 1/2) beta)))))
(+.f64 (*.f64 (/.f64 1 (+.f64 1/8 (pow.f64 (/.f64 (*.f64 (+.f64 1 alpha) 1/2) beta) 3))) 1/4) (*.f64 (/.f64 1 (+.f64 1/8 (pow.f64 (/.f64 (*.f64 (+.f64 1 alpha) 1/2) beta) 3))) (*.f64 (/.f64 (*.f64 (+.f64 1 alpha) 1/2) beta) (-.f64 (/.f64 (*.f64 (+.f64 1 alpha) 1/2) beta) 1/2))))
(+.f64 (*.f64 (/.f64 1 (+.f64 1/8 (pow.f64 (/.f64 (*.f64 (+.f64 1 alpha) 1/2) beta) 3))) (*.f64 (/.f64 (*.f64 (+.f64 1 alpha) 1/2) beta) (-.f64 (/.f64 (*.f64 (+.f64 1 alpha) 1/2) beta) 1/2))) (*.f64 (/.f64 1 (+.f64 1/8 (pow.f64 (/.f64 (*.f64 (+.f64 1 alpha) 1/2) beta) 3))) 1/4))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1/4 1/2)))) 1)
(*.f64 1 (/.f64 1 (fma.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1/4 1/2)))
(*.f64 (/.f64 1 (fma.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1/4 1/2)) 1)
(*.f64 (pow.f64 (fma.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1/4 1/2) -1/2) (pow.f64 (fma.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1/4 1/2) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1/4 1/2))) (cbrt.f64 (pow.f64 (fma.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1/4 1/2) -2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1/4 1/2) -2)) (/.f64 1 (cbrt.f64 (fma.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1/4 1/2))))
(*.f64 -1 (/.f64 -1 (fma.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1/4 1/2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1/4 1/2)) 2)) (/.f64 1 (cbrt.f64 (fma.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1/4 1/2))))
(*.f64 (/.f64 1 (-.f64 1/4 (pow.f64 (/.f64 (*.f64 (+.f64 1 alpha) 1/2) beta) 2))) (-.f64 1/2 (/.f64 (*.f64 (+.f64 1 alpha) 1/2) beta)))
(*.f64 (/.f64 1 (+.f64 1/8 (pow.f64 (/.f64 (*.f64 (+.f64 1 alpha) 1/2) beta) 3))) (+.f64 1/4 (*.f64 (/.f64 (*.f64 (+.f64 1 alpha) 1/2) beta) (-.f64 (/.f64 (*.f64 (+.f64 1 alpha) 1/2) beta) 1/2))))
(*.f64 (/.f64 -1 (fma.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1/4 1/2)) -1)
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1/4 1/2)) -1) (pow.f64 (sqrt.f64 (fma.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1/4 1/2)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1/4 1/2)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1/4 1/2)) -1))
(*.f64 (/.f64 (-.f64 1/2 (/.f64 (*.f64 (+.f64 1 alpha) 1/2) beta)) (-.f64 1/16 (*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 1 alpha) 1/2) beta) 2) (pow.f64 (/.f64 (*.f64 (+.f64 1 alpha) 1/2) beta) 2)))) (+.f64 1/4 (pow.f64 (/.f64 (*.f64 (+.f64 1 alpha) 1/2) beta) 2)))
(*.f64 (/.f64 (-.f64 1/2 (/.f64 (*.f64 (+.f64 1 alpha) 1/2) beta)) (-.f64 1/64 (pow.f64 (pow.f64 (/.f64 (*.f64 (+.f64 1 alpha) 1/2) beta) 2) 3))) (+.f64 (+.f64 1/16 (*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 1 alpha) 1/2) beta) 2) (pow.f64 (/.f64 (*.f64 (+.f64 1 alpha) 1/2) beta) 2))) (*.f64 1/4 (pow.f64 (/.f64 (*.f64 (+.f64 1 alpha) 1/2) beta) 2))))
(*.f64 (/.f64 (+.f64 1/4 (*.f64 (/.f64 (*.f64 (+.f64 1 alpha) 1/2) beta) (-.f64 (/.f64 (*.f64 (+.f64 1 alpha) 1/2) beta) 1/2))) (-.f64 1/64 (*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 1 alpha) 1/2) beta) 3) (pow.f64 (/.f64 (*.f64 (+.f64 1 alpha) 1/2) beta) 3)))) (-.f64 1/8 (pow.f64 (/.f64 (*.f64 (+.f64 1 alpha) 1/2) beta) 3)))
(*.f64 (/.f64 (+.f64 1/4 (*.f64 (/.f64 (*.f64 (+.f64 1 alpha) 1/2) beta) (-.f64 (/.f64 (*.f64 (+.f64 1 alpha) 1/2) beta) 1/2))) (+.f64 1/512 (pow.f64 (pow.f64 (/.f64 (*.f64 (+.f64 1 alpha) 1/2) beta) 3) 3))) (+.f64 1/64 (-.f64 (*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 1 alpha) 1/2) beta) 3) (pow.f64 (/.f64 (*.f64 (+.f64 1 alpha) 1/2) beta) 3)) (*.f64 1/8 (pow.f64 (/.f64 (*.f64 (+.f64 1 alpha) 1/2) beta) 3)))))
(*.f64 (/.f64 1 (neg.f64 (-.f64 1/4 (pow.f64 (/.f64 (*.f64 (+.f64 1 alpha) 1/2) beta) 2)))) (neg.f64 (-.f64 1/2 (/.f64 (*.f64 (+.f64 1 alpha) 1/2) beta))))
(*.f64 (/.f64 1 (neg.f64 (+.f64 1/8 (pow.f64 (/.f64 (*.f64 (+.f64 1 alpha) 1/2) beta) 3)))) (neg.f64 (+.f64 1/4 (*.f64 (/.f64 (*.f64 (+.f64 1 alpha) 1/2) beta) (-.f64 (/.f64 (*.f64 (+.f64 1 alpha) 1/2) beta) 1/2)))))
(*.f64 (/.f64 1 (-.f64 (pow.f64 (/.f64 (*.f64 (+.f64 1 alpha) 1/2) beta) 2) 1/4)) (-.f64 (/.f64 (*.f64 (+.f64 1 alpha) 1/2) beta) 1/2))
(*.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1/4 1/2) -1/2) (sqrt.f64 (+.f64 1/8 (pow.f64 (/.f64 (*.f64 (+.f64 1 alpha) 1/2) beta) 3)))) (sqrt.f64 (+.f64 1/4 (*.f64 (/.f64 (*.f64 (+.f64 1 alpha) 1/2) beta) (-.f64 (/.f64 (*.f64 (+.f64 1 alpha) 1/2) beta) 1/2)))))
(*.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1/4 1/2) -1/2) (sqrt.f64 (-.f64 1/4 (pow.f64 (/.f64 (*.f64 (+.f64 1 alpha) 1/2) beta) 2)))) (sqrt.f64 (-.f64 1/2 (/.f64 (*.f64 (+.f64 1 alpha) 1/2) beta))))
(*.f64 (/.f64 -1 (neg.f64 (-.f64 1/4 (pow.f64 (/.f64 (*.f64 (+.f64 1 alpha) 1/2) beta) 2)))) (-.f64 1/2 (/.f64 (*.f64 (+.f64 1 alpha) 1/2) beta)))
(*.f64 (/.f64 -1 (neg.f64 (+.f64 1/8 (pow.f64 (/.f64 (*.f64 (+.f64 1 alpha) 1/2) beta) 3)))) (+.f64 1/4 (*.f64 (/.f64 (*.f64 (+.f64 1 alpha) 1/2) beta) (-.f64 (/.f64 (*.f64 (+.f64 1 alpha) 1/2) beta) 1/2))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1/4 1/2)) 2)) (cbrt.f64 (+.f64 1/8 (pow.f64 (/.f64 (*.f64 (+.f64 1 alpha) 1/2) beta) 3)))) (cbrt.f64 (+.f64 1/4 (*.f64 (/.f64 (*.f64 (+.f64 1 alpha) 1/2) beta) (-.f64 (/.f64 (*.f64 (+.f64 1 alpha) 1/2) beta) 1/2)))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1/4 1/2)) 2)) (cbrt.f64 (-.f64 1/4 (pow.f64 (/.f64 (*.f64 (+.f64 1 alpha) 1/2) beta) 2)))) (cbrt.f64 (-.f64 1/2 (/.f64 (*.f64 (+.f64 1 alpha) 1/2) beta))))
(pow.f64 (fma.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1/4 1/2) -1)
(pow.f64 (/.f64 1 (fma.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1/4 1/2)) 1)
(pow.f64 (pow.f64 (fma.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1/4 1/2) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1/4 1/2))) 3)
(pow.f64 (/.f64 1 (pow.f64 (fma.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1/4 1/2) 3)) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1/4 1/2) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1/4 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1/4 1/2)))))
(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1/4 1/2) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1/4 1/2))))
(exp.f64 (neg.f64 (log.f64 (fma.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1/4 1/2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1/4 1/2)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1/4 1/2))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1/4 1/2))))
(+.f64 (*.f64 (/.f64 1 beta) 2) (*.f64 (/.f64 1 beta) (*.f64 2 alpha)))
(+.f64 (*.f64 (/.f64 1 beta) (*.f64 2 alpha)) (*.f64 (/.f64 1 beta) 2))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 2 alpha 2) beta))) 1)
(*.f64 1 (/.f64 (fma.f64 2 alpha 2) beta))
(*.f64 (fma.f64 2 alpha 2) (/.f64 1 beta))
(*.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1)
(*.f64 (sqrt.f64 (fma.f64 2 alpha 2)) (*.f64 (sqrt.f64 (fma.f64 2 alpha 2)) (/.f64 1 beta)))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) (sqrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2) (*.f64 (cbrt.f64 (fma.f64 2 alpha 2)) (/.f64 1 beta)))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) 2) (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)))
(*.f64 (+.f64 1 alpha) (*.f64 2 (/.f64 1 beta)))
(*.f64 (/.f64 1 beta) (fma.f64 2 alpha 2))
(*.f64 (-.f64 -2 (*.f64 2 alpha)) (/.f64 -1 beta))
(*.f64 (/.f64 1 (sqrt.f64 beta)) (/.f64 (fma.f64 2 alpha 2) (sqrt.f64 beta)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (fma.f64 2 alpha 2) (cbrt.f64 beta)))
(*.f64 (/.f64 -1 beta) (-.f64 -2 (*.f64 2 alpha)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 alpha 2)) 1) (/.f64 (sqrt.f64 (fma.f64 2 alpha 2)) beta))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 alpha 2)) beta) (sqrt.f64 (fma.f64 2 alpha 2)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 alpha 2)) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (sqrt.f64 (fma.f64 2 alpha 2)) (cbrt.f64 beta)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 2 alpha 2)) beta))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2) (sqrt.f64 beta)) (/.f64 (cbrt.f64 (fma.f64 2 alpha 2)) (sqrt.f64 beta)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)))
(*.f64 (/.f64 (+.f64 1 alpha) 1) (/.f64 2 beta))
(*.f64 (/.f64 (+.f64 1 alpha) (sqrt.f64 beta)) (/.f64 2 (sqrt.f64 beta)))
(*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 2 (cbrt.f64 beta)))
(*.f64 (/.f64 (+.f64 1 alpha) beta) 2)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2) beta) (cbrt.f64 (fma.f64 2 alpha 2)))
(*.f64 (/.f64 1 (/.f64 beta (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2))) (cbrt.f64 (fma.f64 2 alpha 2)))
(*.f64 (/.f64 1 (/.f64 beta (+.f64 1 alpha))) 2)
(*.f64 (/.f64 (*.f64 (-.f64 4 (*.f64 4 (*.f64 alpha alpha))) (/.f64 1 beta)) (-.f64 4 (*.f64 4 (*.f64 alpha alpha)))) (fma.f64 2 alpha 2))
(*.f64 (/.f64 (*.f64 (-.f64 4 (*.f64 4 (*.f64 alpha alpha))) (/.f64 1 beta)) (-.f64 8 (pow.f64 (*.f64 2 alpha) 3))) (+.f64 4 (*.f64 (*.f64 2 alpha) (fma.f64 2 alpha 2))))
(*.f64 (/.f64 (*.f64 (+.f64 8 (pow.f64 (*.f64 2 alpha) 3)) (/.f64 1 beta)) (-.f64 16 (*.f64 (*.f64 (*.f64 2 alpha) (-.f64 (*.f64 2 alpha) 2)) (*.f64 (*.f64 2 alpha) (-.f64 (*.f64 2 alpha) 2))))) (-.f64 4 (*.f64 (*.f64 2 alpha) (-.f64 (*.f64 2 alpha) 2))))
(*.f64 (/.f64 (*.f64 (+.f64 8 (pow.f64 (*.f64 2 alpha) 3)) (/.f64 1 beta)) (+.f64 64 (pow.f64 (*.f64 (*.f64 2 alpha) (-.f64 (*.f64 2 alpha) 2)) 3))) (-.f64 (+.f64 16 (*.f64 (*.f64 (*.f64 2 alpha) (-.f64 (*.f64 2 alpha) 2)) (*.f64 (*.f64 2 alpha) (-.f64 (*.f64 2 alpha) 2)))) (*.f64 4 (*.f64 (*.f64 2 alpha) (-.f64 (*.f64 2 alpha) 2)))))
(pow.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) 2)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 2 alpha 2) beta) 3) 1/3)
(pow.f64 (/.f64 beta (fma.f64 2 alpha 2)) -1)
(neg.f64 (/.f64 (fma.f64 2 alpha 2) (neg.f64 beta)))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 2 alpha 2) beta) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 2 alpha 2) beta)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 2 alpha 2) beta))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 2 alpha 2) beta) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 2 alpha 2) 3) (pow.f64 beta 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 2 alpha 2) beta)))
(exp.f64 (log.f64 (/.f64 (fma.f64 2 alpha 2) beta)))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 2 alpha 2) beta)) 1))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 2 alpha 2) beta)))
Outputs
(/.f64 1 (+.f64 (*.f64 1/2 (/.f64 1 beta)) 1/2))
(/.f64 1 (+.f64 1/2 (/.f64 1/2 beta)))
(+.f64 (/.f64 1 (+.f64 (*.f64 1/2 (/.f64 1 beta)) 1/2)) (*.f64 -1/2 (/.f64 alpha (*.f64 beta (pow.f64 (+.f64 (*.f64 1/2 (/.f64 1 beta)) 1/2) 2)))))
(+.f64 (/.f64 1 (+.f64 1/2 (/.f64 1/2 beta))) (*.f64 -1/2 (/.f64 (/.f64 alpha beta) (pow.f64 (+.f64 1/2 (/.f64 1/2 beta)) 2))))
(fma.f64 -1/2 (/.f64 alpha (*.f64 beta (pow.f64 (+.f64 1/2 (/.f64 1/2 beta)) 2))) (/.f64 1 (+.f64 1/2 (/.f64 1/2 beta))))
(fma.f64 -1/2 (/.f64 (/.f64 alpha beta) (pow.f64 (+.f64 1/2 (/.f64 1/2 beta)) 2)) (/.f64 1 (+.f64 1/2 (/.f64 1/2 beta))))
(+.f64 (/.f64 1 (+.f64 (*.f64 1/2 (/.f64 1 beta)) 1/2)) (+.f64 (*.f64 -1/2 (/.f64 alpha (*.f64 beta (pow.f64 (+.f64 (*.f64 1/2 (/.f64 1 beta)) 1/2) 2)))) (*.f64 1/4 (/.f64 (pow.f64 alpha 2) (*.f64 (pow.f64 beta 2) (pow.f64 (+.f64 (*.f64 1/2 (/.f64 1 beta)) 1/2) 3))))))
(+.f64 (/.f64 1 (+.f64 1/2 (/.f64 1/2 beta))) (fma.f64 -1/2 (/.f64 (/.f64 alpha beta) (pow.f64 (+.f64 1/2 (/.f64 1/2 beta)) 2)) (*.f64 1/4 (/.f64 (/.f64 (*.f64 alpha alpha) (*.f64 beta beta)) (pow.f64 (+.f64 1/2 (/.f64 1/2 beta)) 3)))))
(+.f64 (/.f64 1 (+.f64 1/2 (/.f64 1/2 beta))) (fma.f64 -1/2 (/.f64 alpha (*.f64 beta (pow.f64 (+.f64 1/2 (/.f64 1/2 beta)) 2))) (*.f64 1/4 (/.f64 (*.f64 alpha alpha) (*.f64 beta (*.f64 beta (pow.f64 (+.f64 1/2 (/.f64 1/2 beta)) 3)))))))
(+.f64 (fma.f64 -1/2 (/.f64 (/.f64 alpha beta) (pow.f64 (+.f64 1/2 (/.f64 1/2 beta)) 2)) (/.f64 1 (+.f64 1/2 (/.f64 1/2 beta)))) (*.f64 1/4 (/.f64 (*.f64 (/.f64 alpha beta) (/.f64 alpha beta)) (pow.f64 (+.f64 1/2 (/.f64 1/2 beta)) 3))))
(+.f64 (/.f64 1 (+.f64 (*.f64 1/2 (/.f64 1 beta)) 1/2)) (+.f64 (*.f64 -1/2 (/.f64 alpha (*.f64 beta (pow.f64 (+.f64 (*.f64 1/2 (/.f64 1 beta)) 1/2) 2)))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 alpha 3) (*.f64 (pow.f64 beta 3) (pow.f64 (+.f64 (*.f64 1/2 (/.f64 1 beta)) 1/2) 4)))) (*.f64 1/4 (/.f64 (pow.f64 alpha 2) (*.f64 (pow.f64 beta 2) (pow.f64 (+.f64 (*.f64 1/2 (/.f64 1 beta)) 1/2) 3)))))))
(+.f64 (/.f64 1 (+.f64 1/2 (/.f64 1/2 beta))) (fma.f64 -1/2 (/.f64 (/.f64 alpha beta) (pow.f64 (+.f64 1/2 (/.f64 1/2 beta)) 2)) (fma.f64 -1/8 (/.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 beta 3)) (pow.f64 (+.f64 1/2 (/.f64 1/2 beta)) 4)) (*.f64 1/4 (/.f64 (/.f64 (*.f64 alpha alpha) (*.f64 beta beta)) (pow.f64 (+.f64 1/2 (/.f64 1/2 beta)) 3))))))
(+.f64 (/.f64 1 (+.f64 1/2 (/.f64 1/2 beta))) (fma.f64 -1/2 (/.f64 alpha (*.f64 beta (pow.f64 (+.f64 1/2 (/.f64 1/2 beta)) 2))) (fma.f64 1/4 (/.f64 (*.f64 alpha alpha) (*.f64 beta (*.f64 beta (pow.f64 (+.f64 1/2 (/.f64 1/2 beta)) 3)))) (*.f64 -1/8 (/.f64 (pow.f64 alpha 3) (*.f64 (pow.f64 beta 3) (pow.f64 (+.f64 1/2 (/.f64 1/2 beta)) 4)))))))
(+.f64 (fma.f64 -1/2 (/.f64 (/.f64 alpha beta) (pow.f64 (+.f64 1/2 (/.f64 1/2 beta)) 2)) (/.f64 1 (+.f64 1/2 (/.f64 1/2 beta)))) (fma.f64 -1/8 (/.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 beta 3)) (pow.f64 (+.f64 1/2 (/.f64 1/2 beta)) 4)) (*.f64 1/4 (/.f64 (*.f64 (/.f64 alpha beta) (/.f64 alpha beta)) (pow.f64 (+.f64 1/2 (/.f64 1/2 beta)) 3)))))
(*.f64 2 (/.f64 beta alpha))
(/.f64 (*.f64 2 beta) alpha)
(/.f64 2 (/.f64 alpha beta))
(/.f64 (*.f64 beta 2) alpha)
(+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/2 (/.f64 1 beta)) 1/2)) (pow.f64 alpha 2))) (*.f64 2 (/.f64 beta alpha)))
(fma.f64 -4 (/.f64 (*.f64 beta beta) (/.f64 (*.f64 alpha alpha) (+.f64 1/2 (/.f64 1/2 beta)))) (/.f64 (*.f64 2 beta) alpha))
(fma.f64 2 (/.f64 beta alpha) (*.f64 -4 (*.f64 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (+.f64 1/2 (/.f64 1/2 beta)))))
(fma.f64 -4 (*.f64 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (+.f64 1/2 (/.f64 1/2 beta))) (/.f64 (*.f64 beta 2) alpha))
(+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/2 (/.f64 1 beta)) 1/2)) (pow.f64 alpha 2))) (+.f64 (*.f64 8 (/.f64 (*.f64 (pow.f64 beta 3) (pow.f64 (+.f64 (*.f64 1/2 (/.f64 1 beta)) 1/2) 2)) (pow.f64 alpha 3))) (*.f64 2 (/.f64 beta alpha))))
(fma.f64 -4 (/.f64 (*.f64 beta beta) (/.f64 (*.f64 alpha alpha) (+.f64 1/2 (/.f64 1/2 beta)))) (fma.f64 8 (/.f64 (pow.f64 beta 3) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 1/2 (/.f64 1/2 beta)) 2))) (/.f64 (*.f64 2 beta) alpha)))
(fma.f64 -4 (*.f64 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (+.f64 1/2 (/.f64 1/2 beta))) (fma.f64 2 (/.f64 beta alpha) (*.f64 8 (*.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (pow.f64 (+.f64 1/2 (/.f64 1/2 beta)) 2)))))
(fma.f64 -4 (*.f64 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (+.f64 1/2 (/.f64 1/2 beta))) (fma.f64 8 (*.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (pow.f64 (+.f64 1/2 (/.f64 1/2 beta)) 2)) (/.f64 (*.f64 beta 2) alpha)))
(+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/2 (/.f64 1 beta)) 1/2)) (pow.f64 alpha 2))) (+.f64 (*.f64 8 (/.f64 (*.f64 (pow.f64 beta 3) (pow.f64 (+.f64 (*.f64 1/2 (/.f64 1 beta)) 1/2) 2)) (pow.f64 alpha 3))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 -16 (/.f64 (*.f64 (pow.f64 beta 4) (pow.f64 (+.f64 (*.f64 1/2 (/.f64 1 beta)) 1/2) 3)) (pow.f64 alpha 4))))))
(fma.f64 -4 (/.f64 (*.f64 beta beta) (/.f64 (*.f64 alpha alpha) (+.f64 1/2 (/.f64 1/2 beta)))) (fma.f64 8 (/.f64 (pow.f64 beta 3) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 1/2 (/.f64 1/2 beta)) 2))) (fma.f64 2 (/.f64 beta alpha) (*.f64 -16 (/.f64 (pow.f64 beta 4) (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 1/2 (/.f64 1/2 beta)) 3)))))))
(fma.f64 -4 (*.f64 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (+.f64 1/2 (/.f64 1/2 beta))) (fma.f64 8 (*.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (pow.f64 (+.f64 1/2 (/.f64 1/2 beta)) 2)) (fma.f64 2 (/.f64 beta alpha) (*.f64 -16 (*.f64 (/.f64 (pow.f64 beta 4) (pow.f64 alpha 4)) (pow.f64 (+.f64 1/2 (/.f64 1/2 beta)) 3))))))
(fma.f64 -4 (*.f64 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (+.f64 1/2 (/.f64 1/2 beta))) (fma.f64 8 (*.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (pow.f64 (+.f64 1/2 (/.f64 1/2 beta)) 2)) (fma.f64 2 (/.f64 beta alpha) (*.f64 (/.f64 (*.f64 -16 (pow.f64 beta 4)) (pow.f64 alpha 4)) (pow.f64 (+.f64 1/2 (/.f64 1/2 beta)) 3)))))
(*.f64 2 (/.f64 beta alpha))
(/.f64 (*.f64 2 beta) alpha)
(/.f64 2 (/.f64 alpha beta))
(/.f64 (*.f64 beta 2) alpha)
(+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/2 (/.f64 1 beta)) 1/2)) (pow.f64 alpha 2))) (*.f64 2 (/.f64 beta alpha)))
(fma.f64 -4 (/.f64 (*.f64 beta beta) (/.f64 (*.f64 alpha alpha) (+.f64 1/2 (/.f64 1/2 beta)))) (/.f64 (*.f64 2 beta) alpha))
(fma.f64 2 (/.f64 beta alpha) (*.f64 -4 (*.f64 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (+.f64 1/2 (/.f64 1/2 beta)))))
(fma.f64 -4 (*.f64 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (+.f64 1/2 (/.f64 1/2 beta))) (/.f64 (*.f64 beta 2) alpha))
(+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/2 (/.f64 1 beta)) 1/2)) (pow.f64 alpha 2))) (+.f64 (*.f64 8 (/.f64 (*.f64 (pow.f64 beta 3) (pow.f64 (+.f64 (*.f64 1/2 (/.f64 1 beta)) 1/2) 2)) (pow.f64 alpha 3))) (*.f64 2 (/.f64 beta alpha))))
(fma.f64 -4 (/.f64 (*.f64 beta beta) (/.f64 (*.f64 alpha alpha) (+.f64 1/2 (/.f64 1/2 beta)))) (fma.f64 8 (/.f64 (pow.f64 beta 3) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 1/2 (/.f64 1/2 beta)) 2))) (/.f64 (*.f64 2 beta) alpha)))
(fma.f64 -4 (*.f64 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (+.f64 1/2 (/.f64 1/2 beta))) (fma.f64 2 (/.f64 beta alpha) (*.f64 8 (*.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (pow.f64 (+.f64 1/2 (/.f64 1/2 beta)) 2)))))
(fma.f64 -4 (*.f64 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (+.f64 1/2 (/.f64 1/2 beta))) (fma.f64 8 (*.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (pow.f64 (+.f64 1/2 (/.f64 1/2 beta)) 2)) (/.f64 (*.f64 beta 2) alpha)))
(+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/2 (/.f64 1 beta)) 1/2)) (pow.f64 alpha 2))) (+.f64 (*.f64 8 (/.f64 (*.f64 (pow.f64 beta 3) (pow.f64 (+.f64 (*.f64 1/2 (/.f64 1 beta)) 1/2) 2)) (pow.f64 alpha 3))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 -16 (/.f64 (*.f64 (pow.f64 beta 4) (pow.f64 (+.f64 (*.f64 1/2 (/.f64 1 beta)) 1/2) 3)) (pow.f64 alpha 4))))))
(fma.f64 -4 (/.f64 (*.f64 beta beta) (/.f64 (*.f64 alpha alpha) (+.f64 1/2 (/.f64 1/2 beta)))) (fma.f64 8 (/.f64 (pow.f64 beta 3) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 1/2 (/.f64 1/2 beta)) 2))) (fma.f64 2 (/.f64 beta alpha) (*.f64 -16 (/.f64 (pow.f64 beta 4) (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 1/2 (/.f64 1/2 beta)) 3)))))))
(fma.f64 -4 (*.f64 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (+.f64 1/2 (/.f64 1/2 beta))) (fma.f64 8 (*.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (pow.f64 (+.f64 1/2 (/.f64 1/2 beta)) 2)) (fma.f64 2 (/.f64 beta alpha) (*.f64 -16 (*.f64 (/.f64 (pow.f64 beta 4) (pow.f64 alpha 4)) (pow.f64 (+.f64 1/2 (/.f64 1/2 beta)) 3))))))
(fma.f64 -4 (*.f64 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (+.f64 1/2 (/.f64 1/2 beta))) (fma.f64 8 (*.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (pow.f64 (+.f64 1/2 (/.f64 1/2 beta)) 2)) (fma.f64 2 (/.f64 beta alpha) (*.f64 (/.f64 (*.f64 -16 (pow.f64 beta 4)) (pow.f64 alpha 4)) (pow.f64 (+.f64 1/2 (/.f64 1/2 beta)) 3)))))
(*.f64 4 (/.f64 beta (+.f64 2 (*.f64 2 alpha))))
(/.f64 (*.f64 4 beta) (fma.f64 2 alpha 2))
(*.f64 4 (/.f64 beta (fma.f64 alpha 2 2)))
(*.f64 2 (/.f64 beta (+.f64 1 alpha)))
(+.f64 (*.f64 -8 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2))) (*.f64 4 (/.f64 beta (+.f64 2 (*.f64 2 alpha)))))
(fma.f64 -8 (/.f64 (*.f64 beta beta) (pow.f64 (fma.f64 2 alpha 2) 2)) (/.f64 (*.f64 4 beta) (fma.f64 2 alpha 2)))
(fma.f64 4 (/.f64 beta (fma.f64 alpha 2 2)) (/.f64 -8 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 2)))
(+.f64 (*.f64 16 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 (*.f64 2 alpha)) 3))) (+.f64 (*.f64 -8 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2))) (*.f64 4 (/.f64 beta (+.f64 2 (*.f64 2 alpha))))))
(fma.f64 16 (/.f64 (pow.f64 beta 3) (pow.f64 (fma.f64 2 alpha 2) 3)) (fma.f64 -8 (/.f64 (*.f64 beta beta) (pow.f64 (fma.f64 2 alpha 2) 2)) (/.f64 (*.f64 4 beta) (fma.f64 2 alpha 2))))
(+.f64 (fma.f64 4 (/.f64 beta (fma.f64 alpha 2 2)) (/.f64 -8 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 2))) (/.f64 16 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 3)))
(+.f64 (*.f64 16 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 (*.f64 2 alpha)) 3))) (+.f64 (*.f64 -32 (/.f64 (pow.f64 beta 4) (pow.f64 (+.f64 2 (*.f64 2 alpha)) 4))) (+.f64 (*.f64 -8 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2))) (*.f64 4 (/.f64 beta (+.f64 2 (*.f64 2 alpha)))))))
(fma.f64 16 (/.f64 (pow.f64 beta 3) (pow.f64 (fma.f64 2 alpha 2) 3)) (fma.f64 -32 (/.f64 (pow.f64 beta 4) (pow.f64 (fma.f64 2 alpha 2) 4)) (fma.f64 -8 (/.f64 (*.f64 beta beta) (pow.f64 (fma.f64 2 alpha 2) 2)) (/.f64 (*.f64 4 beta) (fma.f64 2 alpha 2)))))
(+.f64 (/.f64 16 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 3)) (fma.f64 -32 (/.f64 (pow.f64 beta 4) (pow.f64 (fma.f64 alpha 2 2) 4)) (fma.f64 4 (/.f64 beta (fma.f64 alpha 2 2)) (/.f64 -8 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 2)))))
2
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2)
(fma.f64 -1 (/.f64 (fma.f64 2 alpha 2) beta) 2)
(-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2) (pow.f64 beta 2)))))
(+.f64 (fma.f64 -1 (/.f64 (fma.f64 2 alpha 2) beta) 2) (*.f64 1/2 (/.f64 (pow.f64 (fma.f64 2 alpha 2) 2) (*.f64 beta beta))))
(-.f64 (fma.f64 1/2 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 2) 2) (/.f64 (fma.f64 alpha 2 2) beta))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 (+.f64 2 (*.f64 2 alpha)) 3) (pow.f64 beta 3))) (+.f64 2 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2) (pow.f64 beta 2))))))
(fma.f64 -1 (/.f64 (fma.f64 2 alpha 2) beta) (fma.f64 -1/4 (pow.f64 (/.f64 (fma.f64 2 alpha 2) beta) 3) (+.f64 2 (*.f64 1/2 (/.f64 (pow.f64 (fma.f64 2 alpha 2) 2) (*.f64 beta beta))))))
(-.f64 (fma.f64 -1/4 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 3) (fma.f64 1/2 (pow.f64 (/.f64 (fma.f64 alpha 2 2) beta) 2) 2)) (/.f64 (fma.f64 alpha 2 2) beta))
2
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2)
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(/.f64 (fma.f64 alpha 2 2) beta)
(*.f64 (sqrt.f64 (fma.f64 2 alpha 2)) (*.f64 (sqrt.f64 (fma.f64 2 alpha 2)) (/.f64 1 beta)))
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta))
(/.f64 (fma.f64 alpha 2 2) beta)
(*.f64 (sqrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) (sqrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)))
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta))
(/.f64 (fma.f64 alpha 2 2) beta)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2) (*.f64 (cbrt.f64 (fma.f64 2 alpha 2)) (/.f64 1 beta)))
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta))
(/.f64 (fma.f64 alpha 2 2) beta)
(*.f64 (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) 2))
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta))
(/.f64 (fma.f64 alpha 2 2) beta)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) 2) (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)))
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta))
(/.f64 (fma.f64 alpha 2 2) beta)
(*.f64 (+.f64 1 alpha) (*.f64 2 (/.f64 1 beta)))
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta))
(/.f64 (fma.f64 alpha 2 2) beta)
(*.f64 (/.f64 1 beta) (fma.f64 2 alpha 2))
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta))
(/.f64 (fma.f64 alpha 2 2) beta)
(*.f64 (-.f64 -2 (*.f64 2 alpha)) (/.f64 -1 beta))
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta))
(/.f64 (fma.f64 alpha 2 2) beta)
(*.f64 (/.f64 1 (sqrt.f64 beta)) (/.f64 (fma.f64 2 alpha 2) (sqrt.f64 beta)))
(/.f64 (/.f64 (fma.f64 alpha 2 2) (sqrt.f64 beta)) (sqrt.f64 beta))
(/.f64 (fma.f64 alpha 2 2) (*.f64 (sqrt.f64 beta) (sqrt.f64 beta)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (fma.f64 2 alpha 2) (cbrt.f64 beta)))
(/.f64 (/.f64 (fma.f64 alpha 2 2) (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2))
(/.f64 (fma.f64 alpha 2 2) (*.f64 (pow.f64 (cbrt.f64 beta) 2) (cbrt.f64 beta)))
(*.f64 (/.f64 -1 beta) (-.f64 -2 (*.f64 2 alpha)))
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta))
(/.f64 (fma.f64 alpha 2 2) beta)
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 alpha 2)) 1) (/.f64 (sqrt.f64 (fma.f64 2 alpha 2)) beta))
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta))
(/.f64 (fma.f64 alpha 2 2) beta)
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 alpha 2)) beta) (sqrt.f64 (fma.f64 2 alpha 2)))
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta))
(/.f64 (fma.f64 alpha 2 2) beta)
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 alpha 2)) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (sqrt.f64 (fma.f64 2 alpha 2)) (cbrt.f64 beta)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (fma.f64 2 alpha 2) (cbrt.f64 beta)))
(/.f64 (/.f64 (fma.f64 alpha 2 2) (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2))
(/.f64 (fma.f64 alpha 2 2) (*.f64 (pow.f64 (cbrt.f64 beta) 2) (cbrt.f64 beta)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 2 alpha 2)) beta))
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta))
(/.f64 (fma.f64 alpha 2 2) beta)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2) (sqrt.f64 beta)) (/.f64 (cbrt.f64 (fma.f64 2 alpha 2)) (sqrt.f64 beta)))
(*.f64 (/.f64 1 (sqrt.f64 beta)) (/.f64 (fma.f64 2 alpha 2) (sqrt.f64 beta)))
(/.f64 (/.f64 (fma.f64 alpha 2 2) (sqrt.f64 beta)) (sqrt.f64 beta))
(/.f64 (fma.f64 alpha 2 2) (*.f64 (sqrt.f64 beta) (sqrt.f64 beta)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2) (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta))) (pow.f64 (cbrt.f64 beta) 2))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 alpha 2 2) beta)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 alpha 2 2)) 2) (pow.f64 (cbrt.f64 beta) 2)))
(*.f64 (/.f64 (+.f64 1 alpha) 1) (/.f64 2 beta))
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta))
(/.f64 (fma.f64 alpha 2 2) beta)
(*.f64 (/.f64 (+.f64 1 alpha) (sqrt.f64 beta)) (/.f64 2 (sqrt.f64 beta)))
(*.f64 (/.f64 1 (sqrt.f64 beta)) (/.f64 (fma.f64 2 alpha 2) (sqrt.f64 beta)))
(/.f64 (/.f64 (fma.f64 alpha 2 2) (sqrt.f64 beta)) (sqrt.f64 beta))
(/.f64 (fma.f64 alpha 2 2) (*.f64 (sqrt.f64 beta) (sqrt.f64 beta)))
(*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 2 (cbrt.f64 beta)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (fma.f64 2 alpha 2) (cbrt.f64 beta)))
(/.f64 (/.f64 (fma.f64 alpha 2 2) (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2))
(/.f64 (fma.f64 alpha 2 2) (*.f64 (pow.f64 (cbrt.f64 beta) 2) (cbrt.f64 beta)))
(*.f64 (/.f64 (+.f64 1 alpha) beta) 2)
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta))
(/.f64 (fma.f64 alpha 2 2) beta)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2) beta) (cbrt.f64 (fma.f64 2 alpha 2)))
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta))
(/.f64 (fma.f64 alpha 2 2) beta)
(*.f64 (/.f64 1 (/.f64 beta (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2))) (cbrt.f64 (fma.f64 2 alpha 2)))
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta))
(/.f64 (fma.f64 alpha 2 2) beta)
(*.f64 (/.f64 1 (/.f64 beta (+.f64 1 alpha))) 2)
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta))
(/.f64 (fma.f64 alpha 2 2) beta)
(*.f64 (/.f64 (*.f64 (-.f64 4 (*.f64 4 (*.f64 alpha alpha))) (/.f64 1 beta)) (-.f64 4 (*.f64 4 (*.f64 alpha alpha)))) (fma.f64 2 alpha 2))
(*.f64 (fma.f64 2 alpha 2) (/.f64 (+.f64 4 (*.f64 -4 (*.f64 alpha alpha))) (/.f64 (+.f64 4 (*.f64 -4 (*.f64 alpha alpha))) (/.f64 1 beta))))
(*.f64 (fma.f64 alpha 2 2) (/.f64 (/.f64 (+.f64 4 (*.f64 (*.f64 alpha alpha) -4)) beta) (+.f64 4 (*.f64 (*.f64 alpha alpha) -4))))
(/.f64 (+.f64 4 (*.f64 alpha (*.f64 alpha -4))) (*.f64 (/.f64 (+.f64 4 (*.f64 alpha (*.f64 alpha -4))) (fma.f64 alpha 2 2)) beta))
(*.f64 (/.f64 (*.f64 (-.f64 4 (*.f64 4 (*.f64 alpha alpha))) (/.f64 1 beta)) (-.f64 8 (pow.f64 (*.f64 2 alpha) 3))) (+.f64 4 (*.f64 (*.f64 2 alpha) (fma.f64 2 alpha 2))))
(*.f64 (/.f64 (+.f64 4 (*.f64 -4 (*.f64 alpha alpha))) (/.f64 (-.f64 8 (*.f64 8 (pow.f64 alpha 3))) (/.f64 1 beta))) (+.f64 4 (*.f64 (*.f64 alpha 2) (fma.f64 2 alpha 2))))
(/.f64 (/.f64 (+.f64 4 (*.f64 (*.f64 alpha alpha) -4)) beta) (/.f64 (-.f64 8 (*.f64 (pow.f64 alpha 3) 8)) (fma.f64 (*.f64 alpha 2) (fma.f64 alpha 2 2) 4)))
(/.f64 (*.f64 (/.f64 (+.f64 4 (*.f64 alpha (*.f64 alpha -4))) beta) (fma.f64 (*.f64 alpha 2) (fma.f64 alpha 2 2) 4)) (-.f64 8 (*.f64 (pow.f64 alpha 3) 8)))
(*.f64 (/.f64 (*.f64 (+.f64 8 (pow.f64 (*.f64 2 alpha) 3)) (/.f64 1 beta)) (-.f64 16 (*.f64 (*.f64 (*.f64 2 alpha) (-.f64 (*.f64 2 alpha) 2)) (*.f64 (*.f64 2 alpha) (-.f64 (*.f64 2 alpha) 2))))) (-.f64 4 (*.f64 (*.f64 2 alpha) (-.f64 (*.f64 2 alpha) 2))))
(*.f64 (/.f64 (+.f64 8 (*.f64 8 (pow.f64 alpha 3))) (/.f64 (-.f64 16 (*.f64 (*.f64 alpha 2) (*.f64 (fma.f64 2 alpha -2) (*.f64 2 (*.f64 alpha (fma.f64 2 alpha -2)))))) (/.f64 1 beta))) (-.f64 4 (*.f64 2 (*.f64 alpha (fma.f64 2 alpha -2)))))
(*.f64 (/.f64 (/.f64 (fma.f64 8 (pow.f64 alpha 3) 8) beta) (+.f64 16 (*.f64 (*.f64 (*.f64 alpha alpha) -4) (*.f64 (fma.f64 alpha 2 -2) (fma.f64 alpha 2 -2))))) (-.f64 4 (*.f64 2 (*.f64 alpha (fma.f64 alpha 2 -2)))))
(*.f64 (/.f64 (fma.f64 8 (pow.f64 alpha 3) 8) (*.f64 (+.f64 16 (*.f64 -4 (*.f64 (*.f64 alpha alpha) (*.f64 (fma.f64 alpha 2 -2) (fma.f64 alpha 2 -2))))) beta)) (+.f64 4 (*.f64 -2 (*.f64 alpha (fma.f64 alpha 2 -2)))))
(*.f64 (/.f64 (*.f64 (+.f64 8 (pow.f64 (*.f64 2 alpha) 3)) (/.f64 1 beta)) (+.f64 64 (pow.f64 (*.f64 (*.f64 2 alpha) (-.f64 (*.f64 2 alpha) 2)) 3))) (-.f64 (+.f64 16 (*.f64 (*.f64 (*.f64 2 alpha) (-.f64 (*.f64 2 alpha) 2)) (*.f64 (*.f64 2 alpha) (-.f64 (*.f64 2 alpha) 2)))) (*.f64 4 (*.f64 (*.f64 2 alpha) (-.f64 (*.f64 2 alpha) 2)))))
(*.f64 (/.f64 (+.f64 8 (*.f64 8 (pow.f64 alpha 3))) (/.f64 (+.f64 64 (pow.f64 (*.f64 2 (*.f64 alpha (fma.f64 2 alpha -2))) 3)) (/.f64 1 beta))) (+.f64 16 (-.f64 (*.f64 (*.f64 alpha 2) (*.f64 (fma.f64 2 alpha -2) (*.f64 2 (*.f64 alpha (fma.f64 2 alpha -2))))) (*.f64 4 (*.f64 2 (*.f64 alpha (fma.f64 2 alpha -2)))))))
(*.f64 (/.f64 (/.f64 (fma.f64 8 (pow.f64 alpha 3) 8) beta) (+.f64 64 (pow.f64 (*.f64 2 (*.f64 alpha (fma.f64 alpha 2 -2))) 3))) (+.f64 16 (*.f64 (*.f64 2 (*.f64 alpha (fma.f64 alpha 2 -2))) (-.f64 (*.f64 2 (*.f64 alpha (fma.f64 alpha 2 -2))) 4))))
(/.f64 (*.f64 (/.f64 (fma.f64 8 (pow.f64 alpha 3) 8) beta) (+.f64 16 (*.f64 (fma.f64 alpha 2 -2) (*.f64 (*.f64 alpha 2) (-.f64 (*.f64 2 (*.f64 alpha (fma.f64 alpha 2 -2))) 4))))) (+.f64 64 (*.f64 8 (pow.f64 (*.f64 alpha (fma.f64 alpha 2 -2)) 3))))
(pow.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1)
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta))
(/.f64 (fma.f64 alpha 2 2) beta)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) 2)
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta))
(/.f64 (fma.f64 alpha 2 2) beta)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) 3)
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta))
(/.f64 (fma.f64 alpha 2 2) beta)
(pow.f64 (pow.f64 (/.f64 (fma.f64 2 alpha 2) beta) 3) 1/3)
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta))
(/.f64 (fma.f64 alpha 2 2) beta)
(pow.f64 (/.f64 beta (fma.f64 2 alpha 2)) -1)
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta))
(/.f64 (fma.f64 alpha 2 2) beta)
(neg.f64 (/.f64 (fma.f64 2 alpha 2) (neg.f64 beta)))
(/.f64 (neg.f64 (fma.f64 2 alpha 2)) (neg.f64 beta))
(/.f64 (+.f64 -2 (*.f64 alpha -2)) (neg.f64 beta))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 2 alpha 2) beta) 2))
(fabs.f64 (/.f64 (fma.f64 alpha 2 2) beta))
(log.f64 (exp.f64 (/.f64 (fma.f64 2 alpha 2) beta)))
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta))
(/.f64 (fma.f64 alpha 2 2) beta)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 2 alpha 2) beta))))
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta))
(/.f64 (fma.f64 alpha 2 2) beta)
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 2 alpha 2) beta) 3))
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta))
(/.f64 (fma.f64 alpha 2 2) beta)
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 2 alpha 2) 3) (pow.f64 beta 3)))
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta))
(/.f64 (fma.f64 alpha 2 2) beta)
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 2 alpha 2) beta)))
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta))
(/.f64 (fma.f64 alpha 2 2) beta)
(exp.f64 (log.f64 (/.f64 (fma.f64 2 alpha 2) beta)))
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta))
(/.f64 (fma.f64 alpha 2 2) beta)
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 2 alpha 2) beta)) 1))
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta))
(/.f64 (fma.f64 alpha 2 2) beta)
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 2 alpha 2) beta)))
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta))
(/.f64 (fma.f64 alpha 2 2) beta)

eval945.0ms (6.6%)

Compiler

Compiled 36213 to 29058 computations (19.8% saved)

prune378.0ms (2.7%)

Pruning

20 alts after pruning (13 fresh and 7 done)

PrunedKeptTotal
New102971036
Fresh5611
Picked101
Done3710
Total1038201058
Error
0b
Counts
1058 → 20
Alt Table
Click to see full alt table
StatusErrorProgram
48.8b
(/.f64 (/.f64 (+.f64 beta 2) alpha) 2)
47.3b
(/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2)
60.3b
(/.f64 (/.f64 (*.f64 beta 2) alpha) 2)
48.7b
(/.f64 (/.f64 2 alpha) 2)
18.5b
(/.f64 (/.f64 1 (+.f64 1 (*.f64 alpha 1/2))) 2)
39.2b
(/.f64 (/.f64 1 (+.f64 1/2 (*.f64 (*.f64 2 (/.f64 alpha beta)) 1/4))) 2)
47.7b
(/.f64 (-.f64 (/.f64 beta alpha) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
47.3b
(/.f64 (-.f64 (/.f64 beta alpha) (neg.f64 (/.f64 (+.f64 beta 2) alpha))) 2)
43.5b
(/.f64 (-.f64 2 (/.f64 (+.f64 alpha 2) beta)) 2)
43.3b
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
31.2b
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
32.7b
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
20.0b
(/.f64 (+.f64 (/.f64 (*.f64 beta (+.f64 1/2 (*.f64 1/2 alpha))) (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2)) (/.f64 1 (+.f64 1 (*.f64 1/2 alpha)))) 2)
15.7b
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
16.1b
(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta 2)) (-.f64 beta alpha)) 1) 2)
34.3b
(/.f64 (+.f64 1 (*.f64 1/2 beta)) 2)
48.0b
(/.f64 (*.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 4 (*.f64 alpha alpha)))) 2)
0.1b
(/.f64 (log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2) (exp.f64 (neg.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))))))))) 2)
38.7b
(/.f64 2 2)
31.7b
(/.f64 1 2)
Compiler

Compiled 265 to 217 computations (18.1% saved)

regimes152.0ms (1.1%)

Counts
46 → 1
Calls
Call 1
Inputs
(/.f64 1 2)
(/.f64 2 2)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
(/.f64 (+.f64 1 (*.f64 1/2 beta)) 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 2) alpha) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
(/.f64 (-.f64 2 (/.f64 (+.f64 alpha 2) beta)) 2)
(/.f64 (/.f64 1 (+.f64 1 (*.f64 alpha 1/2))) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2)
(/.f64 (+.f64 (*.f64 (/.f64 1 beta) (-.f64 beta alpha)) 1) 2)
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
(/.f64 (-.f64 (/.f64 beta alpha) (neg.f64 (/.f64 (+.f64 beta 2) alpha))) 2)
(/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) 2)
(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta 2)) (-.f64 beta alpha)) 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 1 (+.f64 1/2 (*.f64 (*.f64 2 (/.f64 alpha beta)) 1/4))) 2)
(/.f64 (/.f64 1 (/.f64 1 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))) 2)
(/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 beta alpha))) 2)
(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2)
(/.f64 (-.f64 1 (*.f64 (/.f64 alpha (-.f64 4 (*.f64 alpha alpha))) (-.f64 2 alpha))) 2)
(/.f64 (-.f64 (/.f64 beta alpha) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
(/.f64 (/.f64 1 (+.f64 1/2 (*.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 1/4))) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 (+.f64 beta 2) alpha))) 2)
(/.f64 (/.f64 1 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 2)
(/.f64 (*.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 4 (*.f64 alpha alpha)))) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
(/.f64 (*.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (*.f64 2 (*.f64 beta beta)) (*.f64 alpha alpha)))) 2)
(/.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (/.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha) alpha) (*.f64 alpha (+.f64 (+.f64 beta beta) -2))) (*.f64 alpha alpha))) 2)
(/.f64 (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 (-.f64 2 beta) alpha)) (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))) 1) 2)
(/.f64 (+.f64 (/.f64 (*.f64 beta (+.f64 1/2 (*.f64 1/2 alpha))) (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2)) (/.f64 1 (+.f64 1 (*.f64 1/2 alpha)))) 2)
(/.f64 (*.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)))) 2)
(/.f64 (/.f64 1 (+.f64 (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)))) 2)
(/.f64 (-.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 2 alpha))) (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta)))) 2)
(/.f64 (-.f64 (/.f64 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))) (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.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)))))) 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 (log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2) (exp.f64 (neg.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))))))))) 2)
Outputs
(/.f64 (log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2) (exp.f64 (neg.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))))))))) 2)
Calls

5 calls:

71.0ms
alpha
27.0ms
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)
5.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
Results
ErrorSegmentsBranch
0.1b1alpha
0.1b1beta
0.1b1(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
0.1b1(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
0.1b1(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
Compiler

Compiled 784 to 565 computations (27.9% saved)

regimes126.0ms (0.9%)

Counts
45 → 1
Calls
Call 1
Inputs
(/.f64 1 2)
(/.f64 2 2)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
(/.f64 (+.f64 1 (*.f64 1/2 beta)) 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 2) alpha) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
(/.f64 (-.f64 2 (/.f64 (+.f64 alpha 2) beta)) 2)
(/.f64 (/.f64 1 (+.f64 1 (*.f64 alpha 1/2))) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2)
(/.f64 (+.f64 (*.f64 (/.f64 1 beta) (-.f64 beta alpha)) 1) 2)
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
(/.f64 (-.f64 (/.f64 beta alpha) (neg.f64 (/.f64 (+.f64 beta 2) alpha))) 2)
(/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) 2)
(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta 2)) (-.f64 beta alpha)) 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 1 (+.f64 1/2 (*.f64 (*.f64 2 (/.f64 alpha beta)) 1/4))) 2)
(/.f64 (/.f64 1 (/.f64 1 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))) 2)
(/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 beta alpha))) 2)
(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2)
(/.f64 (-.f64 1 (*.f64 (/.f64 alpha (-.f64 4 (*.f64 alpha alpha))) (-.f64 2 alpha))) 2)
(/.f64 (-.f64 (/.f64 beta alpha) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
(/.f64 (/.f64 1 (+.f64 1/2 (*.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 1/4))) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 (+.f64 beta 2) alpha))) 2)
(/.f64 (/.f64 1 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 2)
(/.f64 (*.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 4 (*.f64 alpha alpha)))) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
(/.f64 (*.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (*.f64 2 (*.f64 beta beta)) (*.f64 alpha alpha)))) 2)
(/.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (/.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha) alpha) (*.f64 alpha (+.f64 (+.f64 beta beta) -2))) (*.f64 alpha alpha))) 2)
(/.f64 (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 (-.f64 2 beta) alpha)) (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))) 1) 2)
(/.f64 (+.f64 (/.f64 (*.f64 beta (+.f64 1/2 (*.f64 1/2 alpha))) (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2)) (/.f64 1 (+.f64 1 (*.f64 1/2 alpha)))) 2)
(/.f64 (*.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)))) 2)
(/.f64 (/.f64 1 (+.f64 (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)))) 2)
(/.f64 (-.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 2 alpha))) (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta)))) 2)
(/.f64 (-.f64 (/.f64 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))) (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.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)))))) 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)
Outputs
(/.f64 (/.f64 1 (+.f64 (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)))) 2)
Calls

5 calls:

51.0ms
beta
27.0ms
alpha
16.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
5.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
5.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
Results
ErrorSegmentsBranch
0.1b1alpha
0.1b1beta
0.1b1(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
0.1b1(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
0.1b1(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
Compiler

Compiled 746 to 535 computations (28.3% saved)

regimes211.0ms (1.5%)

Counts
40 → 2
Calls
Call 1
Inputs
(/.f64 1 2)
(/.f64 2 2)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
(/.f64 (+.f64 1 (*.f64 1/2 beta)) 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 2) alpha) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
(/.f64 (-.f64 2 (/.f64 (+.f64 alpha 2) beta)) 2)
(/.f64 (/.f64 1 (+.f64 1 (*.f64 alpha 1/2))) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2)
(/.f64 (+.f64 (*.f64 (/.f64 1 beta) (-.f64 beta alpha)) 1) 2)
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
(/.f64 (-.f64 (/.f64 beta alpha) (neg.f64 (/.f64 (+.f64 beta 2) alpha))) 2)
(/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) 2)
(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta 2)) (-.f64 beta alpha)) 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 1 (+.f64 1/2 (*.f64 (*.f64 2 (/.f64 alpha beta)) 1/4))) 2)
(/.f64 (/.f64 1 (/.f64 1 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))) 2)
(/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 beta alpha))) 2)
(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2)
(/.f64 (-.f64 1 (*.f64 (/.f64 alpha (-.f64 4 (*.f64 alpha alpha))) (-.f64 2 alpha))) 2)
(/.f64 (-.f64 (/.f64 beta alpha) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
(/.f64 (/.f64 1 (+.f64 1/2 (*.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 1/4))) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 (+.f64 beta 2) alpha))) 2)
(/.f64 (/.f64 1 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 2)
(/.f64 (*.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 4 (*.f64 alpha alpha)))) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
(/.f64 (*.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (*.f64 2 (*.f64 beta beta)) (*.f64 alpha alpha)))) 2)
(/.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (/.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha) alpha) (*.f64 alpha (+.f64 (+.f64 beta beta) -2))) (*.f64 alpha alpha))) 2)
(/.f64 (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 (-.f64 2 beta) alpha)) (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))) 1) 2)
(/.f64 (+.f64 (/.f64 (*.f64 beta (+.f64 1/2 (*.f64 1/2 alpha))) (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2)) (/.f64 1 (+.f64 1 (*.f64 1/2 alpha)))) 2)
(/.f64 (*.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)))) 2)
Outputs
(/.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 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2)
Calls

5 calls:

112.0ms
beta
38.0ms
alpha
22.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
9.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
9.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
Results
ErrorSegmentsBranch
2.9b2alpha
0.7b2beta
0.0b2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
0.0b2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
0.0b2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
Compiler

Compiled 553 to 397 computations (28.2% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999999774825168
-0.8766120323709361
Compiler

Compiled 20 to 15 computations (25% saved)

regimes154.0ms (1.1%)

Counts
39 → 2
Calls
Call 1
Inputs
(/.f64 1 2)
(/.f64 2 2)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
(/.f64 (+.f64 1 (*.f64 1/2 beta)) 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 2) alpha) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
(/.f64 (-.f64 2 (/.f64 (+.f64 alpha 2) beta)) 2)
(/.f64 (/.f64 1 (+.f64 1 (*.f64 alpha 1/2))) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2)
(/.f64 (+.f64 (*.f64 (/.f64 1 beta) (-.f64 beta alpha)) 1) 2)
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
(/.f64 (-.f64 (/.f64 beta alpha) (neg.f64 (/.f64 (+.f64 beta 2) alpha))) 2)
(/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) 2)
(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta 2)) (-.f64 beta alpha)) 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 1 (+.f64 1/2 (*.f64 (*.f64 2 (/.f64 alpha beta)) 1/4))) 2)
(/.f64 (/.f64 1 (/.f64 1 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))) 2)
(/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 beta alpha))) 2)
(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2)
(/.f64 (-.f64 1 (*.f64 (/.f64 alpha (-.f64 4 (*.f64 alpha alpha))) (-.f64 2 alpha))) 2)
(/.f64 (-.f64 (/.f64 beta alpha) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
(/.f64 (/.f64 1 (+.f64 1/2 (*.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 1/4))) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 (+.f64 beta 2) alpha))) 2)
(/.f64 (/.f64 1 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 2)
(/.f64 (*.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 4 (*.f64 alpha alpha)))) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
(/.f64 (*.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (*.f64 2 (*.f64 beta beta)) (*.f64 alpha alpha)))) 2)
(/.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (/.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha) alpha) (*.f64 alpha (+.f64 (+.f64 beta beta) -2))) (*.f64 alpha alpha))) 2)
(/.f64 (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 (-.f64 2 beta) alpha)) (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))) 1) 2)
(/.f64 (+.f64 (/.f64 (*.f64 beta (+.f64 1/2 (*.f64 1/2 alpha))) (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2)) (/.f64 1 (+.f64 1 (*.f64 1/2 alpha)))) 2)
Outputs
(/.f64 (*.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 4 (*.f64 alpha alpha)))) 2)
(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2)
Calls

5 calls:

42.0ms
beta
41.0ms
alpha
21.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
10.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
9.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
Results
ErrorSegmentsBranch
2.9b2alpha
0.7b2beta
0.1b2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
0.1b2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
0.1b2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
Compiler

Compiled 525 to 379 computations (27.8% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999999774825168
-0.8766120323709361
Compiler

Compiled 20 to 15 computations (25% saved)

regimes127.0ms (0.9%)

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

5 calls:

37.0ms
beta
33.0ms
alpha
20.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
10.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
7.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
Results
ErrorSegmentsBranch
3.0b2alpha
1.0b2beta
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 391 to 289 computations (26.1% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999999999954533
-0.9999999774825168
Compiler

Compiled 20 to 15 computations (25% saved)

regimes113.0ms (0.8%)

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

5 calls:

39.0ms
alpha
31.0ms
beta
18.0ms
(/.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
3.0b2alpha
1.0b2beta
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 358 to 266 computations (25.7% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999999999954533
-0.9999999774825168
Compiler

Compiled 20 to 15 computations (25% saved)

regimes98.0ms (0.7%)

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

5 calls:

30.0ms
alpha
29.0ms
beta
18.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
7.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
6.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
Results
ErrorSegmentsBranch
3.0b2alpha
1.2b2beta
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 298 to 224 computations (24.8% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999999999954533
-0.9999999774825168
Compiler

Compiled 20 to 15 computations (25% saved)

regimes56.0ms (0.4%)

Counts
21 → 2
Calls
Call 1
Inputs
(/.f64 1 2)
(/.f64 2 2)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
(/.f64 (+.f64 1 (*.f64 1/2 beta)) 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 2) alpha) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
(/.f64 (-.f64 2 (/.f64 (+.f64 alpha 2) beta)) 2)
(/.f64 (/.f64 1 (+.f64 1 (*.f64 alpha 1/2))) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2)
(/.f64 (+.f64 (*.f64 (/.f64 1 beta) (-.f64 beta alpha)) 1) 2)
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
(/.f64 (-.f64 (/.f64 beta alpha) (neg.f64 (/.f64 (+.f64 beta 2) alpha))) 2)
(/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) 2)
(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta 2)) (-.f64 beta alpha)) 1) 2)
Outputs
(/.f64 (/.f64 1 (+.f64 1 (*.f64 alpha 1/2))) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
Calls

2 calls:

27.0ms
beta
23.0ms
alpha
Results
ErrorSegmentsBranch
3.6b2alpha
2.3b2beta
Compiler

Compiled 180 to 140 computations (22.2% saved)

bsearch21.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
21.0ms
2.7855885845919263e-6
154.50676459755707
Results
12.0ms114×body256valid
5.0ms22×body1024valid
1.0msbody512valid
Compiler

Compiled 236 to 204 computations (13.6% saved)

regimes47.0ms (0.3%)

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

2 calls:

28.0ms
beta
16.0ms
alpha
Results
ErrorSegmentsBranch
5.3b2alpha
14.0b3beta
Compiler

Compiled 93 to 75 computations (19.4% saved)

bsearch12.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
12.0ms
0.18316370763682358
14.20903592490084
Results
11.0ms112×body256valid
Compiler

Compiled 174 to 141 computations (19% saved)

regimes51.0ms (0.4%)

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

2 calls:

24.0ms
alpha
23.0ms
beta
Results
ErrorSegmentsBranch
17.7b4alpha
14.6b4beta
Compiler

Compiled 66 to 54 computations (18.2% saved)

bsearch68.0ms (0.5%)

Algorithm
binary-search
Steps
TimeLeftRight
24.0ms
2.7855885845919263e-6
154.50676459755707
22.0ms
-3.5406090835447163e-276
-3.8729286056864763e-283
22.0ms
-3.6830524401824527e-236
-1.0803435577854878e-243
Results
36.0ms333×body256valid
21.0ms74×body1024valid
4.0ms23×body512valid
1.0msbody2048valid
Compiler

Compiled 524 to 465 computations (11.3% saved)

regimes41.0ms (0.3%)

Counts
7 → 4
Calls
Call 1
Inputs
(/.f64 1 2)
(/.f64 2 2)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
(/.f64 (+.f64 1 (*.f64 1/2 beta)) 2)
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
Outputs
(/.f64 (+.f64 1 (*.f64 1/2 beta)) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (+.f64 1 (*.f64 1/2 beta)) 2)
(/.f64 2 2)
Calls

2 calls:

19.0ms
alpha
18.0ms
beta
Results
ErrorSegmentsBranch
17.9b4alpha
14.8b4beta
Compiler

Compiled 45 to 38 computations (15.6% saved)

bsearch92.0ms (0.6%)

Algorithm
binary-search
Steps
TimeLeftRight
21.0ms
2.7855885845919263e-6
154.50676459755707
21.0ms
-3.5406090835447163e-276
-3.8729286056864763e-283
49.0ms
-3.6830524401824527e-236
-1.0803435577854878e-243
Results
47.0ms74×body1024valid
34.0ms335×body256valid
4.0ms21×body512valid
1.0msbody2048valid
Compiler

Compiled 488 to 438 computations (10.2% saved)

regimes36.0ms (0.3%)

Counts
5 → 4
Calls
Call 1
Inputs
(/.f64 1 2)
(/.f64 2 2)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
Outputs
(/.f64 1 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 1 2)
(/.f64 2 2)
Calls

2 calls:

19.0ms
beta
16.0ms
alpha
Results
ErrorSegmentsBranch
18.1b4alpha
14.9b4beta
Compiler

Compiled 31 to 26 computations (16.1% saved)

bsearch66.0ms (0.5%)

Algorithm
binary-search
Steps
TimeLeftRight
21.0ms
2.7855885845919263e-6
154.50676459755707
24.0ms
-3.5406090835447163e-276
-3.8729286056864763e-283
22.0ms
-3.6830524401824527e-236
-1.0803435577854878e-243
Results
40.0ms334×body256valid
17.0ms74×body1024valid
4.0ms24×body512valid
Compiler

Compiled 380 to 357 computations (6.1% saved)

regimes23.0ms (0.2%)

Accuracy

Total -45.6b remaining (-279.6%)

Threshold costs -45.6b (-279.6%)

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

2 calls:

14.0ms
alpha
8.0ms
beta
Results
ErrorSegmentsBranch
28.2b4alpha
16.3b2beta
Compiler

Compiled 19 to 17 computations (10.5% saved)

bsearch21.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
21.0ms
2.7855885845919263e-6
154.50676459755707
Results
10.0ms105×body256valid
7.0ms24×body1024valid
2.0ms14×body512valid
0.0msbody2048valid
Compiler

Compiled 128 to 123 computations (3.9% saved)

simplify59.0ms (0.4%)

Algorithm
egg-herbie
Rules
168×*-commutative
140×+-commutative
94×neg-sub0
82×distribute-lft-neg-in
70×sub-neg
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01291196
11741184
22201172
32761168
43411168
54011168
64601168
75201168
85691168
96031168
106181168
116221168
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(/.f64 (log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2) (exp.f64 (neg.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))))))))) 2)
(/.f64 (/.f64 1 (+.f64 (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)))) 2)
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -8106479329266893/9007199254740992) (/.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 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -8106479329266893/9007199254740992) (/.f64 (*.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 4 (*.f64 alpha alpha)))) 2) (/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007199074597007/9007199254740992) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 (+.f64 beta 2) alpha))) 2) (/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007199074597007/9007199254740992) (/.f64 (-.f64 (/.f64 beta alpha) (neg.f64 (/.f64 (+.f64 beta 2) alpha))) 2) (/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007199074597007/9007199254740992) (/.f64 (-.f64 (/.f64 beta alpha) (neg.f64 (/.f64 (+.f64 beta 2) alpha))) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 beta 6611313076017503/2361183241434822606848) (/.f64 (/.f64 1 (+.f64 1 (*.f64 alpha 1/2))) 2) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2))
(if (<=.f64 alpha 14) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 beta 2) alpha) 2))
(if (<=.f64 beta -4228233477982807/3843848616348006517745232740100739512991620911897345810779084488070467360061046634469074021673129666994459657822569196861021537621146748550021867984199631441940340184366542119596353715143242451107829641173966144591017133590878523965063482310266674005030207488) (/.f64 (+.f64 1 (*.f64 1/2 beta)) 2) (if (<=.f64 beta -7110181102717439/2494800386918399764570465891296048207584314075544321926878184053046514864836205082231197456865794626361678058555240619054965547485491992075923964747856039275400007091188857095646922151805453733978316695930679904991663513068901087986111069085560055196883901133594695052052948119037930012409856) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (+.f64 1 (*.f64 1/2 beta)) 2) (/.f64 (-.f64 2 (/.f64 2 beta)) 2))))
(if (<=.f64 beta -3096850691881939/469219801800293764373197355969328553831984974596843971042368711922664472663701981746713137411270711303034626199044091413698918166643890203860091306664994072502482932661931411083539271868071588269998735494868914134645646190292788569954038367952474854129664) (/.f64 (+.f64 1 (*.f64 1/2 beta)) 2) (if (<=.f64 beta -8482321315522559/2494800386918399764570465891296048207584314075544321926878184053046514864836205082231197456865794626361678058555240619054965547485491992075923964747856039275400007091188857095646922151805453733978316695930679904991663513068901087986111069085560055196883901133594695052052948119037930012409856) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (+.f64 1 (*.f64 1/2 beta)) 2) (/.f64 2 2))))
(if (<=.f64 beta -4228233477982807/3843848616348006517745232740100739512991620911897345810779084488070467360061046634469074021673129666994459657822569196861021537621146748550021867984199631441940340184366542119596353715143242451107829641173966144591017133590878523965063482310266674005030207488) (/.f64 1 2) (if (<=.f64 beta -8731801354214399/2494800386918399764570465891296048207584314075544321926878184053046514864836205082231197456865794626361678058555240619054965547485491992075923964747856039275400007091188857095646922151805453733978316695930679904991663513068901087986111069085560055196883901133594695052052948119037930012409856) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 1 2) (/.f64 2 2))))
(if (<=.f64 beta 2) (/.f64 1 2) (/.f64 2 2))
(/.f64 1 2)
Outputs
(/.f64 (log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2) (exp.f64 (neg.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))))))))) 2)
(/.f64 (/.f64 1 (+.f64 (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)))) 2)
(/.f64 (/.f64 1 (+.f64 (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (/.f64 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)))) 2)
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -8106479329266893/9007199254740992) (/.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 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) -8106479329266893/9007199254740992) (/.f64 (neg.f64 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (*.f64 alpha alpha)))) 2) (/.f64 (+.f64 1 (*.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 2 alpha))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) -8106479329266893/9007199254740992) (/.f64 (-.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2)))) (*.f64 alpha alpha)) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 2) (/.f64 (+.f64 1 (*.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 2 alpha))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) -8106479329266893/9007199254740992) (/.f64 (-.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (*.f64 alpha alpha))) 2) (/.f64 (+.f64 1 (*.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 2 alpha))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -8106479329266893/9007199254740992) (/.f64 (*.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 4 (*.f64 alpha alpha)))) 2) (/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) -8106479329266893/9007199254740992) (/.f64 (neg.f64 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha) (/.f64 4 (*.f64 alpha alpha)))) 2) (/.f64 (+.f64 1 (*.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 2 alpha))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) -8106479329266893/9007199254740992) (/.f64 (-.f64 (/.f64 -4 (*.f64 alpha alpha)) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 2) (/.f64 (+.f64 1 (*.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 2 alpha))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) -8106479329266893/9007199254740992) (/.f64 (+.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha) (/.f64 -4 (*.f64 alpha alpha))) 2) (/.f64 (+.f64 1 (*.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 2 alpha))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007199074597007/9007199254740992) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 (+.f64 beta 2) alpha))) 2) (/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) -9007199074597007/9007199254740992) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (/.f64 (neg.f64 (+.f64 beta 2)) alpha)) 2) (/.f64 (+.f64 1 (*.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 2 alpha))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) -9007199074597007/9007199254740992) (/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (/.f64 (+.f64 beta 2) alpha)) 2) (/.f64 (+.f64 1 (*.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 2 alpha))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007199074597007/9007199254740992) (/.f64 (-.f64 (/.f64 beta alpha) (neg.f64 (/.f64 (+.f64 beta 2) alpha))) 2) (/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) -9007199074597007/9007199254740992) (/.f64 (-.f64 (/.f64 beta alpha) (/.f64 (neg.f64 (+.f64 beta 2)) alpha)) 2) (/.f64 (+.f64 1 (*.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 2 alpha))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) -9007199074597007/9007199254740992) (/.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta alpha)) 2) (/.f64 (+.f64 1 (*.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 2 alpha))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007199074597007/9007199254740992) (/.f64 (-.f64 (/.f64 beta alpha) (neg.f64 (/.f64 (+.f64 beta 2) alpha))) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) -9007199074597007/9007199254740992) (/.f64 (-.f64 (/.f64 beta alpha) (/.f64 (neg.f64 (+.f64 beta 2)) alpha)) 2) (/.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) -9007199074597007/9007199254740992) (/.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta alpha)) 2) (/.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) -9007199074597007/9007199254740992) (/.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta alpha)) 2) (/.f64 (-.f64 1 (/.f64 (-.f64 alpha beta) (+.f64 2 (+.f64 beta alpha)))) 2))
(if (<=.f64 beta 6611313076017503/2361183241434822606848) (/.f64 (/.f64 1 (+.f64 1 (*.f64 alpha 1/2))) 2) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2))
(if (<=.f64 beta 6611313076017503/2361183241434822606848) (/.f64 (/.f64 1 (+.f64 1 (*.f64 alpha 1/2))) 2) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2))
(if (<=.f64 alpha 14) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 beta 2) alpha) 2))
(if (<=.f64 alpha 14) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 (+.f64 beta 2) alpha) 2))
(if (<=.f64 beta -4228233477982807/3843848616348006517745232740100739512991620911897345810779084488070467360061046634469074021673129666994459657822569196861021537621146748550021867984199631441940340184366542119596353715143242451107829641173966144591017133590878523965063482310266674005030207488) (/.f64 (+.f64 1 (*.f64 1/2 beta)) 2) (if (<=.f64 beta -7110181102717439/2494800386918399764570465891296048207584314075544321926878184053046514864836205082231197456865794626361678058555240619054965547485491992075923964747856039275400007091188857095646922151805453733978316695930679904991663513068901087986111069085560055196883901133594695052052948119037930012409856) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (+.f64 1 (*.f64 1/2 beta)) 2) (/.f64 (-.f64 2 (/.f64 2 beta)) 2))))
(if (<=.f64 beta -4228233477982807/3843848616348006517745232740100739512991620911897345810779084488070467360061046634469074021673129666994459657822569196861021537621146748550021867984199631441940340184366542119596353715143242451107829641173966144591017133590878523965063482310266674005030207488) (/.f64 (+.f64 1 (*.f64 beta 1/2)) 2) (if (<=.f64 beta -7110181102717439/2494800386918399764570465891296048207584314075544321926878184053046514864836205082231197456865794626361678058555240619054965547485491992075923964747856039275400007091188857095646922151805453733978316695930679904991663513068901087986111069085560055196883901133594695052052948119037930012409856) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (+.f64 1 (*.f64 beta 1/2)) 2) (/.f64 (-.f64 2 (/.f64 2 beta)) 2))))
(if (<=.f64 beta -4228233477982807/3843848616348006517745232740100739512991620911897345810779084488070467360061046634469074021673129666994459657822569196861021537621146748550021867984199631441940340184366542119596353715143242451107829641173966144591017133590878523965063482310266674005030207488) (/.f64 (+.f64 1 (*.f64 beta 1/2)) 2) (if (<=.f64 beta -7110181102717439/2494800386918399764570465891296048207584314075544321926878184053046514864836205082231197456865794626361678058555240619054965547485491992075923964747856039275400007091188857095646922151805453733978316695930679904991663513068901087986111069085560055196883901133594695052052948119037930012409856) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (+.f64 1 (*.f64 beta 1/2)) 2) (/.f64 (+.f64 2 (/.f64 -2 beta)) 2))))
(if (<=.f64 beta -4228233477982807/3843848616348006517745232740100739512991620911897345810779084488070467360061046634469074021673129666994459657822569196861021537621146748550021867984199631441940340184366542119596353715143242451107829641173966144591017133590878523965063482310266674005030207488) (/.f64 (-.f64 1 (*.f64 beta -1/2)) 2) (if (<=.f64 beta -7110181102717439/2494800386918399764570465891296048207584314075544321926878184053046514864836205082231197456865794626361678058555240619054965547485491992075923964747856039275400007091188857095646922151805453733978316695930679904991663513068901087986111069085560055196883901133594695052052948119037930012409856) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (-.f64 1 (*.f64 beta -1/2)) 2) (/.f64 (+.f64 2 (/.f64 -2 beta)) 2))))
(if (<=.f64 beta -3096850691881939/469219801800293764373197355969328553831984974596843971042368711922664472663701981746713137411270711303034626199044091413698918166643890203860091306664994072502482932661931411083539271868071588269998735494868914134645646190292788569954038367952474854129664) (/.f64 (+.f64 1 (*.f64 1/2 beta)) 2) (if (<=.f64 beta -8482321315522559/2494800386918399764570465891296048207584314075544321926878184053046514864836205082231197456865794626361678058555240619054965547485491992075923964747856039275400007091188857095646922151805453733978316695930679904991663513068901087986111069085560055196883901133594695052052948119037930012409856) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (+.f64 1 (*.f64 1/2 beta)) 2) (/.f64 2 2))))
(if (<=.f64 beta -3096850691881939/469219801800293764373197355969328553831984974596843971042368711922664472663701981746713137411270711303034626199044091413698918166643890203860091306664994072502482932661931411083539271868071588269998735494868914134645646190292788569954038367952474854129664) (/.f64 (+.f64 1 (*.f64 beta 1/2)) 2) (if (<=.f64 beta -8482321315522559/2494800386918399764570465891296048207584314075544321926878184053046514864836205082231197456865794626361678058555240619054965547485491992075923964747856039275400007091188857095646922151805453733978316695930679904991663513068901087986111069085560055196883901133594695052052948119037930012409856) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (+.f64 1 (*.f64 beta 1/2)) 2) 1)))
(if (<=.f64 beta -3096850691881939/469219801800293764373197355969328553831984974596843971042368711922664472663701981746713137411270711303034626199044091413698918166643890203860091306664994072502482932661931411083539271868071588269998735494868914134645646190292788569954038367952474854129664) (/.f64 (-.f64 1 (*.f64 beta -1/2)) 2) (if (<=.f64 beta -8482321315522559/2494800386918399764570465891296048207584314075544321926878184053046514864836205082231197456865794626361678058555240619054965547485491992075923964747856039275400007091188857095646922151805453733978316695930679904991663513068901087986111069085560055196883901133594695052052948119037930012409856) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (-.f64 1 (*.f64 beta -1/2)) 2) 1)))
(if (<=.f64 beta -4228233477982807/3843848616348006517745232740100739512991620911897345810779084488070467360061046634469074021673129666994459657822569196861021537621146748550021867984199631441940340184366542119596353715143242451107829641173966144591017133590878523965063482310266674005030207488) (/.f64 1 2) (if (<=.f64 beta -8731801354214399/2494800386918399764570465891296048207584314075544321926878184053046514864836205082231197456865794626361678058555240619054965547485491992075923964747856039275400007091188857095646922151805453733978316695930679904991663513068901087986111069085560055196883901133594695052052948119037930012409856) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 1 2) (/.f64 2 2))))
(if (<=.f64 beta -4228233477982807/3843848616348006517745232740100739512991620911897345810779084488070467360061046634469074021673129666994459657822569196861021537621146748550021867984199631441940340184366542119596353715143242451107829641173966144591017133590878523965063482310266674005030207488) 1/2 (if (<=.f64 beta -8731801354214399/2494800386918399764570465891296048207584314075544321926878184053046514864836205082231197456865794626361678058555240619054965547485491992075923964747856039275400007091188857095646922151805453733978316695930679904991663513068901087986111069085560055196883901133594695052052948119037930012409856) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) 1/2 1)))
(if (<=.f64 beta 2) (/.f64 1 2) (/.f64 2 2))
(if (<=.f64 beta 2) 1/2 1)
(/.f64 1 2)
1/2
Compiler

Compiled 454 to 340 computations (25.1% saved)

soundness440.0ms (3.1%)

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

Useful iterations: 5 (0.0ms)

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

Compiled 258 to 186 computations (27.9% saved)

end512.0ms (3.6%)

Compiler

Compiled 428 to 304 computations (29% saved)

Profiling

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