Details

Time bar (total: 10.3s)

analyze43.0ms (0.4%)

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

Compiled 22 to 16 computations (27.3% saved)

sample1.7s (16.4%)

Results
979.0ms6514×body256valid
426.0ms1047×body1024valid
240.0ms606×body512valid
36.0ms89×body2048valid
Bogosity

preprocess67.0ms (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)

simplify64.0ms (0.6%)

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

Useful iterations: 5 (0.0ms)

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

eval1.0ms (0%)

Compiler

Compiled 65 to 39 computations (40% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New415
Fresh101
Picked000
Done000
Total516
Error
14.5b
Counts
6 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
14.5b
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
Compiler

Compiled 15 to 11 computations (26.7% saved)

localize18.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 50 to 23 computations (54% saved)

series7.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite149.0ms (1.4%)

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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simplify155.0ms (1.5%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
060812724
1216112284
Stop Event
node limit
Counts
182 → 354
Calls
Call 1
Inputs
(-.f64 1 (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) 1) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))))) (/.f64 alpha (+.f64 2 alpha)))
2
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2)
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2
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(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
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1
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1
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(/.f64 beta (+.f64 beta 2))
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-1
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-1
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) 1)
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(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))
(-.f64 (exp.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 1)
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(-.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)
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(pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1)
(pow.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3))
(expm1.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1)
(fma.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)
(fma.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 0)
(+.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1))
(+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(+.f64 (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))
(-.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1)
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1) 1))
(-.f64 (exp.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 2)
(-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (+.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (+.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) 1))
(*.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)
(*.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (*.f64 (cbrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2) (*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1))
(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha))
(*.f64 (neg.f64 (-.f64 beta alpha)) (/.f64 1 (-.f64 -2 (+.f64 beta alpha))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2)))
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (*.f64 (-.f64 beta alpha) (+.f64 beta (-.f64 alpha 2))))
(*.f64 (/.f64 1 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (*.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2)))))
(*.f64 (/.f64 1 (-.f64 -2 (+.f64 beta alpha))) (neg.f64 (-.f64 beta alpha)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (-.f64 beta alpha)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) 1) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (+.f64 beta (+.f64 alpha 2))) (cbrt.f64 (-.f64 beta alpha)))
(*.f64 (/.f64 (-.f64 beta alpha) (neg.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (neg.f64 (+.f64 beta (-.f64 alpha 2))))
(*.f64 (/.f64 (-.f64 beta alpha) (neg.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (neg.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2)))))
(*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (-.f64 beta (+.f64 alpha 2)))
(*.f64 (/.f64 (-.f64 beta alpha) (-.f64 4 (pow.f64 (+.f64 beta alpha) 2))) (-.f64 (-.f64 2 beta) alpha))
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (+.f64 (*.f64 beta beta) (-.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)) (*.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 2)) (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2))) (cbrt.f64 (-.f64 beta alpha)))
(*.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (neg.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (+.f64 beta (-.f64 alpha 2)))
(*.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (neg.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))))
(*.f64 (/.f64 (*.f64 (neg.f64 (-.f64 beta alpha)) 1) (neg.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (+.f64 beta (-.f64 alpha 2)))
(*.f64 (/.f64 (*.f64 (neg.f64 (-.f64 beta alpha)) 1) (neg.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))))
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) 1) (/.f64 1 (+.f64 beta alpha)))
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (-.f64 beta alpha))
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (fma.f64 beta beta (*.f64 alpha (-.f64 alpha beta))))
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (+.f64 beta alpha) (/.f64 1 (-.f64 beta alpha)))) (-.f64 beta alpha))
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (+.f64 beta alpha) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (-.f64 beta alpha)))) (sqrt.f64 (-.f64 beta alpha)))
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (+.f64 beta alpha) (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (-.f64 beta alpha)))) (cbrt.f64 (-.f64 beta alpha)))
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)))) (neg.f64 (-.f64 beta alpha)))
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (-.f64 (*.f64 alpha alpha) (*.f64 beta beta))) (-.f64 alpha beta))
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))) (neg.f64 (fma.f64 beta beta (*.f64 alpha (-.f64 alpha beta)))))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (-.f64 (*.f64 (*.f64 beta beta) (*.f64 beta beta)) (*.f64 (*.f64 alpha (+.f64 beta alpha)) (*.f64 alpha (+.f64 beta alpha))))) (-.f64 (*.f64 beta beta) (*.f64 alpha (+.f64 beta alpha))))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (+.f64 (pow.f64 (*.f64 beta beta) 3) (pow.f64 (*.f64 alpha (+.f64 beta alpha)) 3))) (+.f64 (*.f64 (*.f64 beta beta) (*.f64 beta beta)) (-.f64 (*.f64 (*.f64 alpha (+.f64 beta alpha)) (*.f64 alpha (+.f64 beta alpha))) (*.f64 (*.f64 beta beta) (*.f64 alpha (+.f64 beta alpha))))))
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2)))))
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (sqrt.f64 (+.f64 beta (-.f64 alpha 2))))
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2)))))
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (cbrt.f64 (+.f64 beta (-.f64 alpha 2))))
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (*.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2)))))
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (*.f64 (+.f64 beta (-.f64 alpha 2)) (+.f64 beta (-.f64 alpha 2))))
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (+.f64 beta (-.f64 alpha 2)))
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))))
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (-.f64 alpha 2)))
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)) (+.f64 beta (+.f64 alpha 2)))) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))))
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (*.f64 (+.f64 beta (-.f64 alpha 2)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2)))))
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (*.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))) (+.f64 beta (-.f64 alpha 2))))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3)
(pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -1)
(pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 1/3)
(neg.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
Outputs
(-.f64 1 (/.f64 alpha (+.f64 2 alpha)))
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) 1) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (/.f64 alpha (+.f64 alpha 2)))
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (*.f64 (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (*.f64 beta beta))) (/.f64 alpha (+.f64 alpha 2)))
(+.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (fma.f64 (*.f64 beta beta) (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))))) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (fma.f64 (*.f64 beta beta) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)))))) (/.f64 alpha (+.f64 alpha 2)))
(+.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (fma.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 (*.f64 beta beta) (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))))
2
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2)
(fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2)
(fma.f64 -1 (/.f64 (*.f64 (+.f64 alpha 1) 2) beta) 2)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(-.f64 (+.f64 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2) (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha))) (neg.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))))
(+.f64 (fma.f64 -1 (/.f64 (*.f64 (+.f64 alpha 1) 2) beta) 2) (+.f64 (*.f64 (/.f64 (+.f64 alpha 2) (*.f64 beta beta)) alpha) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))))
(-.f64 (+.f64 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2) (+.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)) (neg.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) alpha))))) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))))
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2
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1
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1
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(*.f64 (/.f64 (*.f64 (/.f64 1 (+.f64 (+.f64 alpha 2) beta)) (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (-.f64 (*.f64 beta (pow.f64 beta 3)) (*.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha beta) 2)))) (-.f64 (*.f64 beta beta) (*.f64 alpha (+.f64 alpha beta))))
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 alpha (+.f64 2 beta))) (-.f64 (pow.f64 beta 4) (*.f64 alpha (*.f64 (pow.f64 (+.f64 alpha beta) 2) alpha)))) (-.f64 (*.f64 beta beta) (*.f64 alpha (+.f64 alpha beta))))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (+.f64 (pow.f64 (*.f64 beta beta) 3) (pow.f64 (*.f64 alpha (+.f64 beta alpha)) 3))) (+.f64 (*.f64 (*.f64 beta beta) (*.f64 beta beta)) (-.f64 (*.f64 (*.f64 alpha (+.f64 beta alpha)) (*.f64 alpha (+.f64 beta alpha))) (*.f64 (*.f64 beta beta) (*.f64 alpha (+.f64 beta alpha))))))
(*.f64 (/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (/.f64 (+.f64 (pow.f64 (*.f64 beta beta) 3) (pow.f64 (*.f64 alpha (+.f64 alpha beta)) 3)) (/.f64 1 (+.f64 (+.f64 alpha 2) beta)))) (+.f64 (*.f64 beta (pow.f64 beta 3)) (*.f64 (*.f64 alpha (+.f64 alpha beta)) (-.f64 (*.f64 alpha (+.f64 alpha beta)) (*.f64 beta beta)))))
(*.f64 (/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (*.f64 (+.f64 (pow.f64 beta 6) (pow.f64 (*.f64 alpha (+.f64 alpha beta)) 3)) (+.f64 alpha (+.f64 2 beta)))) (+.f64 (pow.f64 beta 4) (*.f64 alpha (*.f64 (+.f64 alpha beta) (-.f64 (*.f64 alpha (+.f64 alpha beta)) (*.f64 beta beta))))))
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2)))))
(*.f64 (/.f64 (-.f64 beta alpha) (*.f64 (sqrt.f64 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (sqrt.f64 (+.f64 (+.f64 alpha 2) beta)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 4 (*.f64 2 (+.f64 alpha beta))))))
(*.f64 (/.f64 (-.f64 beta alpha) (*.f64 (sqrt.f64 (+.f64 alpha (+.f64 2 beta))) (sqrt.f64 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (+.f64 4 (*.f64 -2 (+.f64 alpha beta))))))
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (sqrt.f64 (+.f64 beta (-.f64 alpha 2))))
(*.f64 (/.f64 (-.f64 beta alpha) (*.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (sqrt.f64 (+.f64 (+.f64 alpha 2) beta)))) (sqrt.f64 (+.f64 beta (+.f64 alpha -2))))
(*.f64 (/.f64 (-.f64 beta alpha) (*.f64 (sqrt.f64 (+.f64 alpha (+.f64 2 beta))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)))) (sqrt.f64 (+.f64 alpha (+.f64 -2 beta))))
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2)))))
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha 2) beta)) 2)) (cbrt.f64 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 4 (*.f64 2 (+.f64 alpha beta))))))
(*.f64 (/.f64 (-.f64 beta alpha) (*.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2) (cbrt.f64 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (+.f64 4 (*.f64 -2 (+.f64 alpha beta))))))
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (cbrt.f64 (+.f64 beta (-.f64 alpha 2))))
(*.f64 (/.f64 (-.f64 beta alpha) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha 2) beta)) 2))) (cbrt.f64 (+.f64 beta (+.f64 alpha -2))))
(*.f64 (/.f64 (-.f64 beta alpha) (*.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2) (cbrt.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)))) (cbrt.f64 (+.f64 alpha (+.f64 -2 beta))))
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (*.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2)))))
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 (+.f64 alpha 2) beta)) (*.f64 alpha (+.f64 (+.f64 alpha 2) beta))) (*.f64 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)))) (*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 4 (*.f64 2 (+.f64 alpha beta)))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 4 (*.f64 2 (+.f64 alpha beta))))))
(*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (+.f64 4 (*.f64 -2 (+.f64 alpha beta)))) (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (+.f64 4 (*.f64 -2 (+.f64 alpha beta)))) (*.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))) (*.f64 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)))))
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (*.f64 (+.f64 beta (-.f64 alpha 2)) (+.f64 beta (-.f64 alpha 2))))
(/.f64 (*.f64 (-.f64 (*.f64 beta (+.f64 (+.f64 alpha 2) beta)) (*.f64 alpha (+.f64 (+.f64 alpha 2) beta))) (*.f64 (+.f64 beta (+.f64 alpha -2)) (+.f64 beta (+.f64 alpha -2)))) (*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)))
(*.f64 (+.f64 alpha (+.f64 -2 beta)) (/.f64 (*.f64 (/.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (+.f64 alpha (+.f64 -2 beta))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)))
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (+.f64 beta (-.f64 alpha 2)))
(*.f64 (+.f64 beta (+.f64 alpha -2)) (/.f64 (-.f64 (*.f64 beta (+.f64 (+.f64 alpha 2) beta)) (*.f64 alpha (+.f64 (+.f64 alpha 2) beta))) (*.f64 (+.f64 (+.f64 alpha 2) beta) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4))))
(*.f64 (+.f64 alpha (+.f64 -2 beta)) (/.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4))))
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))))
(*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 4 (*.f64 2 (+.f64 alpha beta)))) (/.f64 (-.f64 (*.f64 beta (+.f64 (+.f64 alpha 2) beta)) (*.f64 alpha (+.f64 (+.f64 alpha 2) beta))) (*.f64 (+.f64 (+.f64 alpha 2) beta) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)))))
(/.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) (/.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (+.f64 4 (*.f64 -2 (+.f64 alpha beta))))))
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (-.f64 alpha 2)))
(*.f64 (+.f64 beta (+.f64 alpha -2)) (/.f64 (-.f64 (*.f64 beta (+.f64 (+.f64 alpha 2) beta)) (*.f64 alpha (+.f64 (+.f64 alpha 2) beta))) (*.f64 (+.f64 (+.f64 alpha 2) beta) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4))))
(*.f64 (+.f64 alpha (+.f64 -2 beta)) (/.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4))))
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)) (+.f64 beta (+.f64 alpha 2)))) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))))
(*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 4 (*.f64 2 (+.f64 alpha beta)))) (/.f64 (-.f64 (*.f64 beta (+.f64 (+.f64 alpha 2) beta)) (*.f64 alpha (+.f64 (+.f64 alpha 2) beta))) (*.f64 (+.f64 (+.f64 alpha 2) beta) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)))))
(/.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) (/.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (+.f64 4 (*.f64 -2 (+.f64 alpha beta))))))
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (*.f64 (+.f64 beta (-.f64 alpha 2)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2)))))
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 (+.f64 alpha 2) beta)) (*.f64 alpha (+.f64 (+.f64 alpha 2) beta))) (*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)))) (*.f64 (+.f64 beta (+.f64 alpha -2)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 4 (*.f64 2 (+.f64 alpha beta))))))
(*.f64 (+.f64 alpha (+.f64 -2 beta)) (*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (+.f64 4 (*.f64 -2 (+.f64 alpha beta)))) (/.f64 (/.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)))))
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (*.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))) (+.f64 beta (-.f64 alpha 2))))
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 (+.f64 alpha 2) beta)) (*.f64 alpha (+.f64 (+.f64 alpha 2) beta))) (*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)))) (*.f64 (+.f64 beta (+.f64 alpha -2)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 4 (*.f64 2 (+.f64 alpha beta))))))
(*.f64 (+.f64 alpha (+.f64 -2 beta)) (*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (+.f64 4 (*.f64 -2 (+.f64 alpha beta)))) (/.f64 (/.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)))))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3)
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -1)
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 1/3)
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(neg.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))
(/.f64 (neg.f64 (-.f64 beta alpha)) (-.f64 (-.f64 -2 beta) alpha))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(exp.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))

eval211.0ms (2%)

Compiler

Compiled 12222 to 7914 computations (35.2% saved)

prune85.0ms (0.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New34410354
Fresh000
Picked101
Done000
Total34510355
Error
0.1b
Counts
355 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
47.2b
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
48.7b
(/.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)
29.6b
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
16.1b
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
61.5b
(/.f64 (+.f64 (+.f64 (-.f64 (/.f64 beta alpha) (/.f64 (-.f64 -2 beta) alpha)) -1) 1) 2)
14.4b
(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2)
61.7b
(/.f64 (+.f64 -1 1) 2)
48.7b
(/.f64 (*.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)))) 2)
14.5b
(/.f64 (log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 2)
40.3b
(/.f64 2 2)
Compiler

Compiled 318 to 244 computations (23.3% saved)

localize28.0ms (0.3%)

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))
3.6b
(+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1)
Compiler

Compiled 63 to 39 computations (38.1% saved)

series4.0ms (0%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
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
@inf
(/.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 1 (+.f64 beta (+.f64 alpha 2)))

rewrite129.0ms (1.2%)

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
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simplify197.0ms (1.9%)

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

localize3.0ms (0%)

Compiler

Compiled 6 to 6 computations (0% saved)

localize14.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 29 to 21 computations (27.6% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite56.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1564×add-sqr-sqrt
1540×*-un-lft-identity
1452×add-cube-cbrt
1438×add-cbrt-cube
1428×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
113713
2186413
Stop Event
node limit
Counts
1 → 33
Calls
Call 1
Inputs
(/.f64 beta (+.f64 beta 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 beta (/.f64 1 (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 beta (+.f64 beta 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 beta (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (sqrt.f64 (/.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 beta) (*.f64 (sqrt.f64 beta) (/.f64 1 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 beta) 2) (*.f64 (cbrt.f64 beta) (/.f64 1 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 beta 2)) beta)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 beta) (/.f64 1 (+.f64 (neg.f64 beta) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 beta 2))) (/.f64 beta (sqrt.f64 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 beta (cbrt.f64 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 beta (fma.f64 beta beta -4)) (+.f64 beta -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 beta (+.f64 8 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 4 (*.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 beta 2))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (cbrt.f64 (/.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 beta (+.f64 beta 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 beta 2) beta) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 beta (+.f64 (neg.f64 beta) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 beta (+.f64 beta 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 beta (+.f64 beta 2))))))))

simplify61.0ms (0.6%)

Algorithm
egg-herbie
Rules
1540×associate-*r*
1304×associate-*l*
866×associate-+r+
854×distribute-lft-in
816×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01211249
13091061
21107907
35906907
Stop Event
node limit
Counts
45 → 67
Calls
Call 1
Inputs
(*.f64 1/2 beta)
(+.f64 (*.f64 1/2 beta) (*.f64 -1/4 (pow.f64 beta 2)))
(+.f64 (*.f64 1/2 beta) (+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/8 (pow.f64 beta 3))))
(+.f64 (*.f64 -1/16 (pow.f64 beta 4)) (+.f64 (*.f64 1/2 beta) (+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/8 (pow.f64 beta 3)))))
1
(-.f64 1 (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta))))
1
(-.f64 1 (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta))))
(-.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 1)
(*.f64 beta (/.f64 1 (+.f64 beta 2)))
(*.f64 (/.f64 beta (+.f64 beta 2)) 1)
(*.f64 1 (/.f64 beta (+.f64 beta 2)))
(*.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (sqrt.f64 (/.f64 beta (+.f64 beta 2))))
(*.f64 (sqrt.f64 beta) (*.f64 (sqrt.f64 beta) (/.f64 1 (+.f64 beta 2))))
(*.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta 2))))
(*.f64 (pow.f64 (cbrt.f64 beta) 2) (*.f64 (cbrt.f64 beta) (/.f64 1 (+.f64 beta 2))))
(*.f64 (/.f64 1 (+.f64 beta 2)) beta)
(*.f64 (neg.f64 beta) (/.f64 1 (+.f64 (neg.f64 beta) -2)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta 2))) (/.f64 beta (sqrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 beta (cbrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 beta (fma.f64 beta beta -4)) (+.f64 beta -2))
(*.f64 (/.f64 beta (+.f64 8 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 4 (*.f64 beta 2))))
(*.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 beta 2)))
(*.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (+.f64 beta 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 beta 2))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (cbrt.f64 (/.f64 beta (+.f64 beta 2))))
(pow.f64 (/.f64 beta (+.f64 beta 2)) 1)
(pow.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 2)
(pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 3)
(pow.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3) 1/3)
(pow.f64 (/.f64 (+.f64 beta 2) beta) -1)
(neg.f64 (/.f64 beta (+.f64 (neg.f64 beta) -2)))
(sqrt.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2))
(log.f64 (exp.f64 (/.f64 beta (+.f64 beta 2))))
(cbrt.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3))
(expm1.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))))
(exp.f64 (log.f64 (/.f64 beta (+.f64 beta 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 beta (+.f64 beta 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 beta (+.f64 beta 2))))
Outputs
(*.f64 1/2 beta)
(+.f64 (*.f64 1/2 beta) (*.f64 -1/4 (pow.f64 beta 2)))
(fma.f64 1/2 beta (*.f64 -1/4 (*.f64 beta beta)))
(fma.f64 1/2 beta (*.f64 beta (*.f64 beta -1/4)))
(*.f64 beta (+.f64 1/2 (*.f64 beta -1/4)))
(+.f64 (*.f64 1/2 beta) (+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/8 (pow.f64 beta 3))))
(fma.f64 1/2 beta (fma.f64 -1/4 (*.f64 beta beta) (*.f64 1/8 (pow.f64 beta 3))))
(fma.f64 1/2 beta (*.f64 (*.f64 beta beta) (+.f64 -1/4 (*.f64 beta 1/8))))
(+.f64 (*.f64 -1/16 (pow.f64 beta 4)) (+.f64 (*.f64 1/2 beta) (+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/8 (pow.f64 beta 3)))))
(fma.f64 -1/16 (pow.f64 beta 4) (fma.f64 1/2 beta (fma.f64 -1/4 (*.f64 beta beta) (*.f64 1/8 (pow.f64 beta 3)))))
(fma.f64 1/2 beta (fma.f64 -1/16 (pow.f64 beta 4) (*.f64 (*.f64 beta beta) (+.f64 -1/4 (*.f64 beta 1/8)))))
1
(-.f64 1 (*.f64 2 (/.f64 1 beta)))
(-.f64 1 (/.f64 2 beta))
(+.f64 1 (/.f64 -2 beta))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta)))
(+.f64 1 (-.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 2 beta)))
(+.f64 1 (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 -2 beta)))
(+.f64 (+.f64 1 (/.f64 -2 beta)) (/.f64 4 (*.f64 beta beta)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta))))
(-.f64 (+.f64 1 (/.f64 4 (*.f64 beta beta))) (+.f64 (/.f64 2 beta) (/.f64 8 (pow.f64 beta 3))))
(+.f64 1 (+.f64 (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 -8 (pow.f64 beta 3))) (/.f64 -2 beta)))
(+.f64 1 (+.f64 (/.f64 -2 beta) (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 -8 (pow.f64 beta 3)))))
1
(-.f64 1 (*.f64 2 (/.f64 1 beta)))
(-.f64 1 (/.f64 2 beta))
(+.f64 1 (/.f64 -2 beta))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta)))
(+.f64 1 (-.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 2 beta)))
(+.f64 1 (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 -2 beta)))
(+.f64 (+.f64 1 (/.f64 -2 beta)) (/.f64 4 (*.f64 beta beta)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta))))
(-.f64 (+.f64 1 (/.f64 4 (*.f64 beta beta))) (+.f64 (/.f64 2 beta) (/.f64 8 (pow.f64 beta 3))))
(+.f64 1 (+.f64 (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 -8 (pow.f64 beta 3))) (/.f64 -2 beta)))
(+.f64 1 (+.f64 (/.f64 -2 beta) (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 -8 (pow.f64 beta 3)))))
(-.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 1)
(+.f64 1 (-.f64 (/.f64 beta (+.f64 beta 2)) 1))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(*.f64 beta (/.f64 1 (+.f64 beta 2)))
(+.f64 1 (-.f64 (/.f64 beta (+.f64 beta 2)) 1))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(*.f64 (/.f64 beta (+.f64 beta 2)) 1)
(+.f64 1 (-.f64 (/.f64 beta (+.f64 beta 2)) 1))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(*.f64 1 (/.f64 beta (+.f64 beta 2)))
(+.f64 1 (-.f64 (/.f64 beta (+.f64 beta 2)) 1))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(*.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (sqrt.f64 (/.f64 beta (+.f64 beta 2))))
(+.f64 1 (-.f64 (/.f64 beta (+.f64 beta 2)) 1))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(*.f64 (sqrt.f64 beta) (*.f64 (sqrt.f64 beta) (/.f64 1 (+.f64 beta 2))))
(+.f64 1 (-.f64 (/.f64 beta (+.f64 beta 2)) 1))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(*.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2))
(+.f64 1 (-.f64 (/.f64 beta (+.f64 beta 2)) 1))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta 2))))
(+.f64 1 (-.f64 (/.f64 beta (+.f64 beta 2)) 1))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(*.f64 (pow.f64 (cbrt.f64 beta) 2) (*.f64 (cbrt.f64 beta) (/.f64 1 (+.f64 beta 2))))
(+.f64 1 (-.f64 (/.f64 beta (+.f64 beta 2)) 1))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(*.f64 (/.f64 1 (+.f64 beta 2)) beta)
(+.f64 1 (-.f64 (/.f64 beta (+.f64 beta 2)) 1))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(*.f64 (neg.f64 beta) (/.f64 1 (+.f64 (neg.f64 beta) -2)))
(/.f64 (neg.f64 beta) (-.f64 -2 beta))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta 2))) (/.f64 beta (sqrt.f64 (+.f64 beta 2))))
(/.f64 (/.f64 beta (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)))
(/.f64 beta (*.f64 (sqrt.f64 (+.f64 beta 2)) (sqrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 beta (cbrt.f64 (+.f64 beta 2))))
(/.f64 (/.f64 beta (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2))
(/.f64 beta (*.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (cbrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 beta (fma.f64 beta beta -4)) (+.f64 beta -2))
(*.f64 (/.f64 beta (+.f64 8 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 4 (*.f64 beta 2))))
(*.f64 (/.f64 beta (+.f64 (pow.f64 beta 3) 8)) (fma.f64 beta beta (-.f64 4 (*.f64 beta 2))))
(/.f64 (*.f64 beta (fma.f64 beta beta (fma.f64 beta -2 4))) (+.f64 (pow.f64 beta 3) 8))
(*.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 beta 2)))
(+.f64 1 (-.f64 (/.f64 beta (+.f64 beta 2)) 1))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(*.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 beta (cbrt.f64 (+.f64 beta 2))))
(/.f64 (/.f64 beta (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2))
(/.f64 beta (*.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (cbrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (+.f64 beta 2)))
(+.f64 1 (-.f64 (/.f64 beta (+.f64 beta 2)) 1))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 beta 2))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta 2))) (/.f64 beta (sqrt.f64 (+.f64 beta 2))))
(/.f64 (/.f64 beta (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)))
(/.f64 beta (*.f64 (sqrt.f64 (+.f64 beta 2)) (sqrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (cbrt.f64 (/.f64 beta (+.f64 beta 2))))
(*.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)))
(pow.f64 (/.f64 beta (+.f64 beta 2)) 1)
(+.f64 1 (-.f64 (/.f64 beta (+.f64 beta 2)) 1))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(pow.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 2)
(+.f64 1 (-.f64 (/.f64 beta (+.f64 beta 2)) 1))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 3)
(+.f64 1 (-.f64 (/.f64 beta (+.f64 beta 2)) 1))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(pow.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 beta (+.f64 beta 2)) 1))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(pow.f64 (/.f64 (+.f64 beta 2) beta) -1)
(+.f64 1 (-.f64 (/.f64 beta (+.f64 beta 2)) 1))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(neg.f64 (/.f64 beta (+.f64 (neg.f64 beta) -2)))
(*.f64 (neg.f64 beta) (/.f64 1 (+.f64 (neg.f64 beta) -2)))
(/.f64 (neg.f64 beta) (-.f64 -2 beta))
(sqrt.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2))
(+.f64 1 (-.f64 (/.f64 beta (+.f64 beta 2)) 1))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(log.f64 (exp.f64 (/.f64 beta (+.f64 beta 2))))
(+.f64 1 (-.f64 (/.f64 beta (+.f64 beta 2)) 1))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(cbrt.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3))
(+.f64 1 (-.f64 (/.f64 beta (+.f64 beta 2)) 1))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(expm1.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))))
(+.f64 1 (-.f64 (/.f64 beta (+.f64 beta 2)) 1))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(exp.f64 (log.f64 (/.f64 beta (+.f64 beta 2))))
(+.f64 1 (-.f64 (/.f64 beta (+.f64 beta 2)) 1))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(exp.f64 (*.f64 (log.f64 (/.f64 beta (+.f64 beta 2))) 1))
(+.f64 1 (-.f64 (/.f64 beta (+.f64 beta 2)) 1))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(log1p.f64 (expm1.f64 (/.f64 beta (+.f64 beta 2))))
(+.f64 1 (-.f64 (/.f64 beta (+.f64 beta 2)) 1))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))

localize12.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 29 to 21 computations (27.6% saved)

series3.0ms (0%)

Counts
1 → 12
Calls

6 calls:

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

rewrite60.0ms (0.6%)

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

Useful iterations: 1 (0.0ms)

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

simplify54.0ms (0.5%)

Algorithm
egg-herbie
Rules
1000×associate-+r+
782×associate-+l+
750×*-commutative
578×associate-*r/
400×associate-*l/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
089972
1214960
2838732
33745732
Stop Event
node limit
Counts
44 → 44
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 (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)) (/.f64 1 alpha)))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) 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)) (/.f64 1 alpha)))
(*.f64 (/.f64 1 alpha) (fma.f64 2 beta 2))
(*.f64 (neg.f64 (fma.f64 2 beta 2)) (/.f64 1 (neg.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 (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 (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 (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)))
(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)))
(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)))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 1))
(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 2 (/.f64 alpha beta))
(*.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 2 (/.f64 alpha beta))
(*.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 (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)) (/.f64 1 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 (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)) (/.f64 1 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 (neg.f64 (fma.f64 2 beta 2)) (/.f64 1 (neg.f64 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (fma.f64 2 beta 2) (sqrt.f64 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) 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 (fma.f64 2 beta 2) (*.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 alpha)))
(/.f64 (fma.f64 2 beta 2) (*.f64 (cbrt.f64 alpha) (pow.f64 (cbrt.f64 alpha) 2)))
(*.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 (fma.f64 2 beta 2) (*.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 alpha)))
(/.f64 (fma.f64 2 beta 2) (*.f64 (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)))
(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) (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)))
(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)
(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)
(exp.f64 (*.f64 (log.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)
(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)

localize53.0ms (0.5%)

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)))
2.2b
(+.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)))
4.4b
(/.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)

series10.0ms (0.1%)

Counts
4 → 72
Calls

18 calls:

TimeVariablePointExpression
3.0ms
alpha
@-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 (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 (1.3%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
016158
1391132
26629132
Stop Event
node limit
Counts
4 → 219
Calls
Call 1
Inputs
(/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))
(+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)))
(+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta)))
(pow.f64 (+.f64 2 beta) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 (+.f64 2 beta) (sqrt.f64 (*.f64 beta (+.f64 2 beta)))) alpha) (/.f64 (hypot.f64 (+.f64 2 beta) (sqrt.f64 (*.f64 beta (+.f64 2 beta)))) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 (+.f64 2 beta) (sqrt.f64 (*.f64 beta (+.f64 2 beta)))) (*.f64 (hypot.f64 (+.f64 2 beta) (sqrt.f64 (*.f64 beta (+.f64 2 beta)))) (pow.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 beta alpha) (-.f64 (/.f64 (+.f64 2 beta) alpha) (*.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2)))) (-.f64 1 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha))) (-.f64 1 (*.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2) (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2)) (/.f64 beta alpha)) (/.f64 (+.f64 2 beta) alpha))))) (#(struct:change #<rule 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(#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha) (exp.f64 (log1p.f64 (*.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2) (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2) (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2) (/.f64 (+.f64 beta (+.f64 beta -2)) alpha))) (sqrt.f64 (fma.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2) (/.f64 (+.f64 beta (+.f64 beta -2)) alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 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simplify129.0ms (1.2%)

Algorithm
egg-herbie
Rules
800×associate-*l*
790×associate-*r*
782×times-frac
674×associate-/r*
618×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
060215731
1180914967
Stop Event
node limit
Counts
291 → 393
Calls
Call 1
Inputs
(/.f64 4 (pow.f64 alpha 2))
(+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (*.f64 6 (/.f64 beta (pow.f64 alpha 2))))
(+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(+.f64 (*.f64 6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(+.f64 (*.f64 6 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(+.f64 (*.f64 6 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(+.f64 (*.f64 6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(+.f64 (*.f64 6 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(+.f64 (*.f64 6 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(-.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))
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4
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4
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(/.f64 (+.f64 (*.f64 (neg.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))) (/.f64 alpha (+.f64 beta (+.f64 beta -2)))) (*.f64 (*.f64 alpha (neg.f64 alpha)) 1)) (*.f64 (*.f64 alpha (neg.f64 alpha)) (/.f64 alpha (+.f64 beta (+.f64 beta -2)))))
(/.f64 (+.f64 (*.f64 (neg.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))) (neg.f64 alpha)) (*.f64 (*.f64 alpha (neg.f64 alpha)) (+.f64 2 (+.f64 beta beta)))) (*.f64 (*.f64 alpha (neg.f64 alpha)) (neg.f64 alpha)))
(/.f64 (+.f64 alpha (*.f64 (+.f64 beta (+.f64 beta -2)) (/.f64 (*.f64 alpha alpha) (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))))) (*.f64 alpha (/.f64 (*.f64 alpha alpha) (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))))))
(/.f64 (+.f64 (*.f64 (+.f64 beta (+.f64 beta -2)) alpha) (*.f64 alpha (/.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) alpha))) (*.f64 alpha alpha))
(/.f64 (+.f64 (*.f64 (+.f64 beta (+.f64 beta -2)) (*.f64 alpha (neg.f64 alpha))) (*.f64 alpha (neg.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))))) (*.f64 alpha (*.f64 alpha (neg.f64 alpha))))
(/.f64 (+.f64 (*.f64 alpha alpha) (*.f64 (/.f64 alpha (+.f64 beta (+.f64 beta -2))) (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))))) (*.f64 (/.f64 alpha (+.f64 beta (+.f64 beta -2))) (*.f64 alpha alpha)))
(/.f64 (+.f64 (/.f64 (*.f64 alpha alpha) (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))) (*.f64 (/.f64 alpha (+.f64 beta (+.f64 beta -2))) 1)) (*.f64 (/.f64 alpha (+.f64 beta (+.f64 beta -2))) (/.f64 (*.f64 alpha alpha) (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))))))
(/.f64 (+.f64 alpha (*.f64 (/.f64 alpha (+.f64 beta (+.f64 beta -2))) (/.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) alpha))) (*.f64 (/.f64 alpha (+.f64 beta (+.f64 beta -2))) alpha))
(/.f64 (+.f64 (*.f64 alpha (neg.f64 alpha)) (*.f64 (/.f64 alpha (+.f64 beta (+.f64 beta -2))) (neg.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))))) (*.f64 (/.f64 alpha (+.f64 beta (+.f64 beta -2))) (*.f64 alpha (neg.f64 alpha))))
(/.f64 (+.f64 (*.f64 (+.f64 2 (+.f64 beta beta)) (*.f64 alpha alpha)) (*.f64 (neg.f64 alpha) (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))))) (*.f64 (neg.f64 alpha) (*.f64 alpha alpha)))
(/.f64 (+.f64 (*.f64 (+.f64 2 (+.f64 beta beta)) (/.f64 (*.f64 alpha alpha) (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))))) (*.f64 (neg.f64 alpha) 1)) (*.f64 (neg.f64 alpha) (/.f64 (*.f64 alpha alpha) (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))))))
(/.f64 (+.f64 (*.f64 (+.f64 2 (+.f64 beta beta)) alpha) (*.f64 (neg.f64 alpha) (/.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) alpha))) (*.f64 alpha (neg.f64 alpha)))
(/.f64 (+.f64 (*.f64 (+.f64 2 (+.f64 beta beta)) (*.f64 alpha (neg.f64 alpha))) (*.f64 (neg.f64 alpha) (neg.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))))) (*.f64 (neg.f64 alpha) (*.f64 alpha (neg.f64 alpha))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha) 2) (/.f64 (pow.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) 2) (pow.f64 alpha 4)))) (neg.f64 (/.f64 (-.f64 (+.f64 beta (+.f64 beta -2)) (/.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) alpha)) alpha)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha) 3) (pow.f64 (*.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2)) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha) 2) (-.f64 (/.f64 (pow.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) 2) (pow.f64 alpha 4)) (/.f64 (*.f64 (+.f64 beta (+.f64 beta -2)) (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))) (pow.f64 alpha 3))))))
(/.f64 (neg.f64 (fma.f64 (+.f64 beta (+.f64 beta -2)) (*.f64 alpha alpha) (*.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) alpha))) (neg.f64 (pow.f64 alpha 3)))
(pow.f64 (fma.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2) (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)) 1)
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2) (/.f64 (+.f64 beta (+.f64 beta -2)) alpha))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2) (/.f64 (+.f64 beta (+.f64 beta -2)) alpha))) 3)
(pow.f64 (pow.f64 (fma.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2) (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2) (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)) 2))
(log.f64 (exp.f64 (fma.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2) (/.f64 (+.f64 beta (+.f64 beta -2)) alpha))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2) (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)))))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2) (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2) (/.f64 (+.f64 beta (+.f64 beta -2)) alpha))))
(exp.f64 (log.f64 (fma.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2) (/.f64 (+.f64 beta (+.f64 beta -2)) alpha))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2) (/.f64 (+.f64 beta (+.f64 beta -2)) alpha))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2) (/.f64 (+.f64 beta (+.f64 beta -2)) alpha))))
(fma.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2) (/.f64 (+.f64 beta (+.f64 beta -2)) alpha))
(fma.f64 (+.f64 beta (+.f64 beta -2)) (/.f64 1 alpha) (*.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2)))
(fma.f64 1 (*.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2)) (/.f64 (+.f64 beta (+.f64 beta -2)) alpha))
(fma.f64 1 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha) (*.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2)))
(fma.f64 (sqrt.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)) (sqrt.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)) (*.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2)))
(fma.f64 (/.f64 (hypot.f64 (+.f64 2 beta) (sqrt.f64 (*.f64 beta (+.f64 2 beta)))) alpha) (/.f64 (hypot.f64 (+.f64 2 beta) (sqrt.f64 (*.f64 beta (+.f64 2 beta)))) alpha) (/.f64 (+.f64 beta (+.f64 beta -2)) alpha))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)) 2) (cbrt.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)) (*.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2)))
(fma.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) 2) (pow.f64 alpha 4))) (cbrt.f64 (*.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2))) (/.f64 (+.f64 beta (+.f64 beta -2)) alpha))
(-.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta)))
(-.f64 (pow.f64 (+.f64 2 beta) 2) (-.f64 (*.f64 beta (+.f64 2 beta)) (fma.f64 (+.f64 beta -2) beta (*.f64 beta (+.f64 2 beta)))))
(-.f64 (pow.f64 (+.f64 2 beta) 2) (-.f64 (*.f64 beta (+.f64 2 beta)) (fma.f64 beta (+.f64 2 beta) (*.f64 beta (+.f64 2 beta)))))
(-.f64 (pow.f64 (+.f64 2 beta) 2) (-.f64 (*.f64 beta (+.f64 2 beta)) (fma.f64 (*.f64 beta (+.f64 2 beta)) 1 (*.f64 beta (+.f64 2 beta)))))
(-.f64 (pow.f64 (+.f64 2 beta) 2) (-.f64 (*.f64 beta (+.f64 2 beta)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 beta (+.f64 2 beta)))) (sqrt.f64 (*.f64 beta (+.f64 2 beta))) (*.f64 beta (+.f64 2 beta)))))
(-.f64 (pow.f64 (+.f64 2 beta) 2) (-.f64 (*.f64 beta (+.f64 2 beta)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 beta (+.f64 2 beta)))) (pow.f64 (cbrt.f64 (*.f64 beta (+.f64 2 beta))) 2) (*.f64 beta (+.f64 2 beta)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 beta (+.f64 2 beta)))) (-.f64 1 (pow.f64 (+.f64 2 beta) 2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))))) (-.f64 1 (fma.f64 (+.f64 beta -2) beta (*.f64 beta (+.f64 2 beta)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))))) (-.f64 1 (fma.f64 beta (+.f64 2 beta) (*.f64 beta (+.f64 2 beta)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))))) (-.f64 1 (fma.f64 (*.f64 beta (+.f64 2 beta)) 1 (*.f64 beta (+.f64 2 beta)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))))) (-.f64 1 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 beta (+.f64 2 beta)))) (sqrt.f64 (*.f64 beta (+.f64 2 beta))) (*.f64 beta (+.f64 2 beta)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))))) (-.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 beta (+.f64 2 beta)))) (pow.f64 (cbrt.f64 (*.f64 beta (+.f64 2 beta))) 2) (*.f64 beta (+.f64 2 beta)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 2 beta) 2))) (-.f64 1 (*.f64 beta (+.f64 2 beta))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 2 beta) 2))) (-.f64 1 (*.f64 (+.f64 beta -2) beta)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 2 beta) 2))) (-.f64 1 (*.f64 (neg.f64 (sqrt.f64 (*.f64 beta (+.f64 2 beta)))) (sqrt.f64 (*.f64 beta (+.f64 2 beta))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 2 beta) 2))) (-.f64 1 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 beta (+.f64 2 beta))) 2)) (cbrt.f64 (*.f64 beta (+.f64 2 beta))))))
(-.f64 (-.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 2 beta)) (*.f64 beta beta))
(-.f64 (-.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 2 beta)) (-.f64 (*.f64 beta beta) (fma.f64 (+.f64 beta -2) beta (*.f64 beta (+.f64 2 beta)))))
(-.f64 (-.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 2 beta)) (-.f64 (*.f64 beta beta) (fma.f64 beta (+.f64 2 beta) (*.f64 beta (+.f64 2 beta)))))
(-.f64 (-.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 2 beta)) (-.f64 (*.f64 beta beta) (fma.f64 (*.f64 beta (+.f64 2 beta)) 1 (*.f64 beta (+.f64 2 beta)))))
(-.f64 (-.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 2 beta)) (-.f64 (*.f64 beta beta) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 beta (+.f64 2 beta)))) (sqrt.f64 (*.f64 beta (+.f64 2 beta))) (*.f64 beta (+.f64 2 beta)))))
(-.f64 (-.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 2 beta)) (-.f64 (*.f64 beta beta) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 beta (+.f64 2 beta)))) (pow.f64 (cbrt.f64 (*.f64 beta (+.f64 2 beta))) 2) (*.f64 beta (+.f64 2 beta)))))
(-.f64 (/.f64 (pow.f64 (+.f64 2 beta) 4) (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))) (/.f64 (pow.f64 (*.f64 beta (+.f64 2 beta)) 2) (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))))
(-.f64 (/.f64 (pow.f64 (+.f64 2 beta) 4) (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))) (-.f64 (/.f64 (pow.f64 (*.f64 beta (+.f64 2 beta)) 2) (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))) (fma.f64 (+.f64 beta -2) beta (*.f64 beta (+.f64 2 beta)))))
(-.f64 (/.f64 (pow.f64 (+.f64 2 beta) 4) (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))) (-.f64 (/.f64 (pow.f64 (*.f64 beta (+.f64 2 beta)) 2) (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))) (fma.f64 beta (+.f64 2 beta) (*.f64 beta (+.f64 2 beta)))))
(-.f64 (/.f64 (pow.f64 (+.f64 2 beta) 4) (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))) (-.f64 (/.f64 (pow.f64 (*.f64 beta (+.f64 2 beta)) 2) (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))) (fma.f64 (*.f64 beta (+.f64 2 beta)) 1 (*.f64 beta (+.f64 2 beta)))))
(-.f64 (/.f64 (pow.f64 (+.f64 2 beta) 4) (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))) (-.f64 (/.f64 (pow.f64 (*.f64 beta (+.f64 2 beta)) 2) (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 beta (+.f64 2 beta)))) (sqrt.f64 (*.f64 beta (+.f64 2 beta))) (*.f64 beta (+.f64 2 beta)))))
(-.f64 (/.f64 (pow.f64 (+.f64 2 beta) 4) (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))) (-.f64 (/.f64 (pow.f64 (*.f64 beta (+.f64 2 beta)) 2) (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 beta (+.f64 2 beta)))) (pow.f64 (cbrt.f64 (*.f64 beta (+.f64 2 beta))) 2) (*.f64 beta (+.f64 2 beta)))))
(-.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (exp.f64 (log1p.f64 (*.f64 beta (+.f64 2 beta))))) 1)
(-.f64 (+.f64 (*.f64 beta (+.f64 2 beta)) (exp.f64 (log1p.f64 (pow.f64 (+.f64 2 beta) 2)))) 1)
(*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))
(*.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) 1)
(*.f64 1 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))))
(*.f64 (hypot.f64 (+.f64 2 beta) (sqrt.f64 (*.f64 beta (+.f64 2 beta)))) (hypot.f64 (+.f64 2 beta) (sqrt.f64 (*.f64 beta (+.f64 2 beta)))))
(*.f64 (cbrt.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))) 2) (cbrt.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))))
(*.f64 (pow.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) 2) (/.f64 1 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))))
(*.f64 (+.f64 (pow.f64 (+.f64 2 beta) 6) (pow.f64 (*.f64 beta (+.f64 2 beta)) 3)) (/.f64 1 (-.f64 (pow.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) 2) (*.f64 (pow.f64 (+.f64 2 beta) 3) beta))))
(*.f64 (+.f64 (+.f64 2 beta) (sqrt.f64 (*.f64 beta (+.f64 2 beta)))) (-.f64 (+.f64 2 beta) (sqrt.f64 (*.f64 beta (+.f64 2 beta)))))
(/.f64 1 (/.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) 2)))
(/.f64 1 (/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) 2) (*.f64 (pow.f64 (+.f64 2 beta) 3) beta)) (+.f64 (pow.f64 (+.f64 2 beta) 6) (pow.f64 (*.f64 beta (+.f64 2 beta)) 3))))
(/.f64 (pow.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) 2) (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))))
(/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 6) (pow.f64 (*.f64 beta (+.f64 2 beta)) 3)) (-.f64 (pow.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) 2) (*.f64 (pow.f64 (+.f64 2 beta) 3) beta)))
(/.f64 (neg.f64 (pow.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) 2)) (neg.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 2 beta) 6) (pow.f64 (*.f64 beta (+.f64 2 beta)) 3))) (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) 2) (*.f64 (pow.f64 (+.f64 2 beta) 3) beta))))
(/.f64 (-.f64 (pow.f64 (*.f64 beta (+.f64 2 beta)) 2) (pow.f64 (+.f64 2 beta) 4)) (-.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)))
(/.f64 (-.f64 (pow.f64 (+.f64 2 beta) 6) (pow.f64 (*.f64 beta (+.f64 2 beta)) 3)) (+.f64 (pow.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) 2) (*.f64 (pow.f64 (+.f64 2 beta) 3) beta)))
(pow.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) 1)
(pow.f64 (hypot.f64 (+.f64 2 beta) (sqrt.f64 (*.f64 beta (+.f64 2 beta)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) 2))
(log.f64 (exp.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))))
(log.f64 (/.f64 (exp.f64 (pow.f64 (+.f64 2 beta) 2)) (pow.f64 (exp.f64 (+.f64 2 beta)) beta)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) 3))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))))
(exp.f64 (log.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))))
(fma.f64 beta (+.f64 2 beta) (pow.f64 (+.f64 2 beta) 2))
(fma.f64 (+.f64 2 beta) beta (pow.f64 (+.f64 2 beta) 2))
(fma.f64 (+.f64 2 beta) (+.f64 2 beta) (*.f64 beta (+.f64 2 beta)))
(fma.f64 1 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta)))
(fma.f64 1 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2))
(fma.f64 (sqrt.f64 (*.f64 beta (+.f64 2 beta))) (sqrt.f64 (*.f64 beta (+.f64 2 beta))) (pow.f64 (+.f64 2 beta) 2))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 2 beta) 4)) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (*.f64 beta (+.f64 2 beta)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 beta (+.f64 2 beta))) 2) (cbrt.f64 (*.f64 beta (+.f64 2 beta))) (pow.f64 (+.f64 2 beta) 2))
(+.f64 (*.f64 beta (+.f64 2 beta)) (*.f64 (+.f64 2 beta) 2))
(+.f64 (*.f64 beta (+.f64 2 beta)) (*.f64 2 (+.f64 2 beta)))
(+.f64 (*.f64 beta beta) (+.f64 (*.f64 2 beta) (*.f64 (+.f64 2 beta) 2)))
(+.f64 (*.f64 beta beta) (+.f64 (*.f64 2 beta) (*.f64 2 (+.f64 2 beta))))
(+.f64 (*.f64 2 beta) (+.f64 (*.f64 beta beta) (*.f64 (+.f64 2 beta) 2)))
(+.f64 (*.f64 2 beta) (+.f64 (*.f64 beta beta) (*.f64 2 (+.f64 2 beta))))
(+.f64 (*.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta)))
(+.f64 (*.f64 2 (+.f64 2 beta)) (*.f64 beta (+.f64 2 beta)))
(+.f64 (*.f64 (*.f64 2 beta) 1) (+.f64 (*.f64 (*.f64 beta beta) 1) (*.f64 (+.f64 2 beta) 2)))
(+.f64 (*.f64 (*.f64 2 beta) 1) (+.f64 (*.f64 (*.f64 beta beta) 1) (*.f64 2 (+.f64 2 beta))))
(+.f64 (+.f64 (*.f64 (+.f64 2 beta) 2) (*.f64 beta beta)) (*.f64 2 beta))
(+.f64 (+.f64 (*.f64 (+.f64 2 beta) 2) (*.f64 2 beta)) (*.f64 beta beta))
(+.f64 (+.f64 (*.f64 (+.f64 2 beta) 2) (*.f64 (*.f64 2 beta) 1)) (*.f64 (*.f64 beta beta) 1))
(+.f64 (+.f64 (*.f64 2 (+.f64 2 beta)) (*.f64 beta beta)) (*.f64 2 beta))
(+.f64 (+.f64 (*.f64 2 (+.f64 2 beta)) (*.f64 2 beta)) (*.f64 beta beta))
(+.f64 (+.f64 (*.f64 2 (+.f64 2 beta)) (*.f64 (*.f64 2 beta) 1)) (*.f64 (*.f64 beta beta) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 beta (+.f64 2 beta)))) (-.f64 1 (*.f64 (+.f64 2 beta) 2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 beta (+.f64 2 beta)))) (-.f64 1 (*.f64 2 (+.f64 2 beta))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 2 beta) 2))) 1)
(-.f64 (+.f64 (*.f64 (+.f64 2 beta) 2) (exp.f64 (log1p.f64 (*.f64 beta (+.f64 2 beta))))) 1)
(-.f64 (+.f64 (*.f64 2 (+.f64 2 beta)) (exp.f64 (log1p.f64 (*.f64 beta (+.f64 2 beta))))) 1)
(*.f64 (+.f64 2 beta) (+.f64 2 beta))
(*.f64 (pow.f64 (+.f64 2 beta) 2) 1)
(*.f64 1 (pow.f64 (+.f64 2 beta) 2))
(*.f64 (sqrt.f64 (+.f64 2 beta)) (*.f64 (sqrt.f64 (+.f64 2 beta)) (+.f64 2 beta)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 2 beta) 4)) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (cbrt.f64 (pow.f64 (+.f64 2 beta) 4)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (*.f64 (cbrt.f64 (+.f64 2 beta)) (+.f64 2 beta)))
(*.f64 (*.f64 (+.f64 2 beta) (sqrt.f64 (+.f64 2 beta))) (sqrt.f64 (+.f64 2 beta)))
(*.f64 (*.f64 (+.f64 2 beta) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2)) (cbrt.f64 (+.f64 2 beta)))
(/.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 4 (*.f64 beta beta)) (+.f64 4 (*.f64 beta beta))) (pow.f64 (+.f64 2 beta) 2))
(/.f64 (*.f64 (+.f64 2 beta) (+.f64 4 (*.f64 beta beta))) (+.f64 2 beta))
(/.f64 (*.f64 (+.f64 2 beta) (+.f64 8 (pow.f64 beta 3))) (+.f64 4 (*.f64 beta (+.f64 beta -2))))
(/.f64 (*.f64 (+.f64 4 (*.f64 beta beta)) (+.f64 2 beta)) (+.f64 2 beta))
(/.f64 (*.f64 (+.f64 8 (pow.f64 beta 3)) (+.f64 2 beta)) (+.f64 4 (*.f64 beta (+.f64 beta -2))))
(/.f64 (*.f64 (+.f64 4 (*.f64 beta beta)) (+.f64 8 (pow.f64 beta 3))) (*.f64 (+.f64 2 beta) (+.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 2 beta)))
(sqrt.f64 (pow.f64 (+.f64 2 beta) 4))
(log.f64 (exp.f64 (pow.f64 (+.f64 2 beta) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 2 beta) 2))))
(cbrt.f64 (pow.f64 (+.f64 2 beta) 6))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 2 beta) 2)))
(exp.f64 (*.f64 2 (log.f64 (+.f64 2 beta))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (+.f64 2 beta))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 2 beta) 2)))
Outputs
(/.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))))
(+.f64 (/.f64 4 (*.f64 alpha alpha)) (*.f64 (/.f64 beta alpha) (/.f64 6 alpha)))
(+.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)))))
(fma.f64 6 (/.f64 beta (*.f64 alpha alpha)) (fma.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 4 (*.f64 alpha alpha))))
(fma.f64 6 (/.f64 beta (*.f64 alpha alpha)) (fma.f64 2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha)) (/.f64 4 (*.f64 alpha alpha))))
(+.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)))))
(fma.f64 6 (/.f64 beta (*.f64 alpha alpha)) (fma.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 4 (*.f64 alpha alpha))))
(fma.f64 6 (/.f64 beta (*.f64 alpha alpha)) (fma.f64 2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha)) (/.f64 4 (*.f64 alpha alpha))))
(*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(*.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))
(*.f64 2 (*.f64 (/.f64 beta alpha) (/.f64 beta 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 6 (/.f64 beta (*.f64 alpha alpha)) (*.f64 2 (*.f64 (/.f64 beta alpha) (/.f64 beta 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))))
(fma.f64 6 (/.f64 beta (*.f64 alpha alpha)) (fma.f64 2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha)) (/.f64 4 (*.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))))
(fma.f64 6 (/.f64 beta (*.f64 alpha alpha)) (fma.f64 2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha)) (/.f64 4 (*.f64 alpha alpha))))
(*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(*.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))
(*.f64 2 (*.f64 (/.f64 beta alpha) (/.f64 beta 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 6 (/.f64 beta (*.f64 alpha alpha)) (*.f64 2 (*.f64 (/.f64 beta alpha) (/.f64 beta 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))))
(fma.f64 6 (/.f64 beta (*.f64 alpha alpha)) (fma.f64 2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha)) (/.f64 4 (*.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))))
(fma.f64 6 (/.f64 beta (*.f64 alpha alpha)) (fma.f64 2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha)) (/.f64 4 (*.f64 alpha alpha))))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (fma.f64 beta (+.f64 2 beta) (pow.f64 (+.f64 2 beta) 2)) (*.f64 alpha alpha))
(*.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) (/.f64 (+.f64 2 beta) alpha))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (fma.f64 beta (+.f64 2 beta) (pow.f64 (+.f64 2 beta) 2)) (*.f64 alpha alpha))
(*.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) (/.f64 (+.f64 2 beta) alpha))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (fma.f64 beta (+.f64 2 beta) (pow.f64 (+.f64 2 beta) 2)) (*.f64 alpha alpha))
(*.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) (/.f64 (+.f64 2 beta) alpha))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (fma.f64 beta (+.f64 2 beta) (pow.f64 (+.f64 2 beta) 2)) (*.f64 alpha alpha))
(*.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) (/.f64 (+.f64 2 beta) alpha))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (fma.f64 beta (+.f64 2 beta) (pow.f64 (+.f64 2 beta) 2)) (*.f64 alpha alpha))
(*.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) (/.f64 (+.f64 2 beta) alpha))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (fma.f64 beta (+.f64 2 beta) (pow.f64 (+.f64 2 beta) 2)) (*.f64 alpha alpha))
(*.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) (/.f64 (+.f64 2 beta) alpha))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (fma.f64 beta (+.f64 2 beta) (pow.f64 (+.f64 2 beta) 2)) (*.f64 alpha alpha))
(*.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) (/.f64 (+.f64 2 beta) alpha))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (fma.f64 beta (+.f64 2 beta) (pow.f64 (+.f64 2 beta) 2)) (*.f64 alpha alpha))
(*.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) (/.f64 (+.f64 2 beta) alpha))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (fma.f64 beta (+.f64 2 beta) (pow.f64 (+.f64 2 beta) 2)) (*.f64 alpha alpha))
(*.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) (/.f64 (+.f64 2 beta) alpha))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (fma.f64 beta (+.f64 2 beta) (pow.f64 (+.f64 2 beta) 2)) (*.f64 alpha alpha))
(*.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) (/.f64 (+.f64 2 beta) alpha))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (fma.f64 beta (+.f64 2 beta) (pow.f64 (+.f64 2 beta) 2)) (*.f64 alpha alpha))
(*.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) (/.f64 (+.f64 2 beta) alpha))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (fma.f64 beta (+.f64 2 beta) (pow.f64 (+.f64 2 beta) 2)) (*.f64 alpha alpha))
(*.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) (/.f64 (+.f64 2 beta) alpha))
(-.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 alpha) (/.f64 beta 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 alpha) (/.f64 beta 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 2 (*.f64 (/.f64 beta alpha) (/.f64 beta 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 alpha) (/.f64 beta 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 alpha) (/.f64 beta 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 alpha) (/.f64 beta 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 2 (*.f64 (/.f64 beta alpha) (/.f64 beta 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 alpha) (/.f64 beta 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))
(+.f64 (-.f64 (fma.f64 2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha)) (/.f64 4 (*.f64 alpha alpha))) (*.f64 beta (+.f64 (/.f64 2 alpha) (/.f64 -6 (*.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))
(+.f64 (-.f64 (fma.f64 2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha)) (/.f64 4 (*.f64 alpha alpha))) (*.f64 beta (+.f64 (/.f64 2 alpha) (/.f64 -6 (*.f64 alpha alpha))))) (/.f64 -2 alpha))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (fma.f64 beta (+.f64 2 beta) (pow.f64 (+.f64 2 beta) 2)) (*.f64 alpha alpha))
(*.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) (/.f64 (+.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))))
(fma.f64 -1 (/.f64 (+.f64 (+.f64 2 beta) beta) alpha) (+.f64 (/.f64 (*.f64 beta (+.f64 2 beta)) (*.f64 alpha alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))))
(+.f64 (*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 2 beta)) (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 (+.f64 -2 (*.f64 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 (+.f64 2 beta) beta) alpha) (+.f64 (/.f64 (*.f64 beta (+.f64 2 beta)) (*.f64 alpha alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))))
(+.f64 (*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 2 beta)) (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 (+.f64 -2 (*.f64 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 (+.f64 2 beta) beta) alpha) (+.f64 (/.f64 (*.f64 beta (+.f64 2 beta)) (*.f64 alpha alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))))
(+.f64 (*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 2 beta)) (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 (+.f64 -2 (*.f64 beta -2)) alpha)))
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(neg.f64 (/.f64 (+.f64 (+.f64 2 beta) beta) alpha))
(/.f64 (+.f64 -2 (*.f64 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 (+.f64 2 beta) beta) alpha) (+.f64 (/.f64 (*.f64 beta (+.f64 2 beta)) (*.f64 alpha alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))))
(+.f64 (*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 2 beta)) (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 (+.f64 -2 (*.f64 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 (+.f64 2 beta) beta) alpha) (+.f64 (/.f64 (*.f64 beta (+.f64 2 beta)) (*.f64 alpha alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))))
(+.f64 (*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 2 beta)) (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 (+.f64 -2 (*.f64 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 (+.f64 2 beta) beta) alpha) (+.f64 (/.f64 (*.f64 beta (+.f64 2 beta)) (*.f64 alpha alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))))
(+.f64 (*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 2 beta)) (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 (+.f64 -2 (*.f64 beta -2)) alpha)))
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(neg.f64 (/.f64 (+.f64 (+.f64 2 beta) beta) alpha))
(/.f64 (+.f64 -2 (*.f64 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 (+.f64 2 beta) beta) alpha) (+.f64 (/.f64 (*.f64 beta (+.f64 2 beta)) (*.f64 alpha alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))))
(+.f64 (*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 2 beta)) (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 (+.f64 -2 (*.f64 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 (+.f64 2 beta) beta) alpha) (+.f64 (/.f64 (*.f64 beta (+.f64 2 beta)) (*.f64 alpha alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))))
(+.f64 (*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 2 beta)) (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 (+.f64 -2 (*.f64 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 beta (*.f64 alpha alpha)) (+.f64 2 beta)) (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 (+.f64 -2 (*.f64 beta -2)) alpha)))
4
(+.f64 (*.f64 6 beta) 4)
(fma.f64 6 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)))
(+.f64 (*.f64 6 beta) (+.f64 4 (*.f64 2 (pow.f64 beta 2))))
(+.f64 (fma.f64 6 beta 4) (*.f64 2 (*.f64 beta beta)))
(*.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)))
(+.f64 (*.f64 6 beta) (+.f64 4 (*.f64 2 (pow.f64 beta 2))))
(+.f64 (fma.f64 6 beta 4) (*.f64 2 (*.f64 beta beta)))
(+.f64 (*.f64 6 beta) (+.f64 4 (*.f64 2 (pow.f64 beta 2))))
(+.f64 (fma.f64 6 beta 4) (*.f64 2 (*.f64 beta beta)))
(*.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)))
(+.f64 (*.f64 6 beta) (+.f64 4 (*.f64 2 (pow.f64 beta 2))))
(+.f64 (fma.f64 6 beta 4) (*.f64 2 (*.f64 beta beta)))
(+.f64 (*.f64 6 beta) (+.f64 4 (*.f64 2 (pow.f64 beta 2))))
(+.f64 (fma.f64 6 beta 4) (*.f64 2 (*.f64 beta beta)))
4
(+.f64 4 (*.f64 4 beta))
(+.f64 4 (+.f64 (*.f64 4 beta) (pow.f64 beta 2)))
(+.f64 4 (fma.f64 4 beta (*.f64 beta beta)))
(+.f64 4 (*.f64 beta (+.f64 4 beta)))
(+.f64 4 (+.f64 (*.f64 4 beta) (pow.f64 beta 2)))
(+.f64 4 (fma.f64 4 beta (*.f64 beta beta)))
(+.f64 4 (*.f64 beta (+.f64 4 beta)))
(pow.f64 beta 2)
(*.f64 beta beta)
(+.f64 (*.f64 4 beta) (pow.f64 beta 2))
(fma.f64 4 beta (*.f64 beta beta))
(*.f64 beta (+.f64 4 beta))
(+.f64 4 (+.f64 (*.f64 4 beta) (pow.f64 beta 2)))
(+.f64 4 (fma.f64 4 beta (*.f64 beta beta)))
(+.f64 4 (*.f64 beta (+.f64 4 beta)))
(+.f64 4 (+.f64 (*.f64 4 beta) (pow.f64 beta 2)))
(+.f64 4 (fma.f64 4 beta (*.f64 beta beta)))
(+.f64 4 (*.f64 beta (+.f64 4 beta)))
(pow.f64 beta 2)
(*.f64 beta beta)
(+.f64 (*.f64 4 beta) (pow.f64 beta 2))
(fma.f64 4 beta (*.f64 beta beta))
(*.f64 beta (+.f64 4 beta))
(+.f64 4 (+.f64 (*.f64 4 beta) (pow.f64 beta 2)))
(+.f64 4 (fma.f64 4 beta (*.f64 beta beta)))
(+.f64 4 (*.f64 beta (+.f64 4 beta)))
(+.f64 4 (+.f64 (*.f64 4 beta) (pow.f64 beta 2)))
(+.f64 4 (fma.f64 4 beta (*.f64 beta beta)))
(+.f64 4 (*.f64 beta (+.f64 4 beta)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2)))) 1)
(*.f64 (*.f64 (pow.f64 alpha -2) (+.f64 2 beta)) (+.f64 (+.f64 2 beta) beta))
(*.f64 (+.f64 2 (+.f64 beta beta)) (*.f64 (+.f64 2 beta) (pow.f64 alpha -2)))
(*.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2))
(*.f64 (*.f64 (pow.f64 alpha -2) (+.f64 2 beta)) (+.f64 (+.f64 2 beta) beta))
(*.f64 (+.f64 2 (+.f64 beta beta)) (*.f64 (+.f64 2 beta) (pow.f64 alpha -2)))
(*.f64 (*.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2)) 1)
(*.f64 (*.f64 (pow.f64 alpha -2) (+.f64 2 beta)) (+.f64 (+.f64 2 beta) beta))
(*.f64 (+.f64 2 (+.f64 beta beta)) (*.f64 (+.f64 2 beta) (pow.f64 alpha -2)))
(*.f64 1 (*.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2)))
(*.f64 (*.f64 (pow.f64 alpha -2) (+.f64 2 beta)) (+.f64 (+.f64 2 beta) beta))
(*.f64 (+.f64 2 (+.f64 beta beta)) (*.f64 (+.f64 2 beta) (pow.f64 alpha -2)))
(*.f64 (/.f64 (hypot.f64 (+.f64 2 beta) (sqrt.f64 (*.f64 beta (+.f64 2 beta)))) alpha) (/.f64 (hypot.f64 (+.f64 2 beta) (sqrt.f64 (*.f64 beta (+.f64 2 beta)))) alpha))
(pow.f64 (/.f64 (hypot.f64 (+.f64 2 beta) (sqrt.f64 (*.f64 beta (+.f64 2 beta)))) alpha) 2)
(*.f64 (hypot.f64 (+.f64 2 beta) (sqrt.f64 (*.f64 beta (+.f64 2 beta)))) (*.f64 (hypot.f64 (+.f64 2 beta) (sqrt.f64 (*.f64 beta (+.f64 2 beta)))) (pow.f64 alpha -2)))
(*.f64 (pow.f64 (hypot.f64 (+.f64 2 beta) (sqrt.f64 (*.f64 beta (+.f64 2 beta)))) 2) (pow.f64 alpha -2))
(*.f64 (pow.f64 alpha -2) (pow.f64 (hypot.f64 (+.f64 2 beta) (sqrt.f64 (*.f64 beta (+.f64 2 beta)))) 2))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) 2) (pow.f64 alpha 4))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 alpha -2) (+.f64 2 beta)) (+.f64 (+.f64 2 beta) beta))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 2 beta) (+.f64 (+.f64 2 beta) beta)) 2) (pow.f64 alpha 4))))
(*.f64 (cbrt.f64 (*.f64 (+.f64 2 (+.f64 beta beta)) (*.f64 (+.f64 2 beta) (pow.f64 alpha -2)))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) 2) (pow.f64 alpha 4))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) 2) (pow.f64 alpha 4))) (cbrt.f64 (*.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 alpha -2) (+.f64 2 beta)) (+.f64 (+.f64 2 beta) beta))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 2 beta) (+.f64 (+.f64 2 beta) beta)) 2) (pow.f64 alpha 4))))
(*.f64 (cbrt.f64 (*.f64 (+.f64 2 (+.f64 beta beta)) (*.f64 (+.f64 2 beta) (pow.f64 alpha -2)))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) 2) (pow.f64 alpha 4))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))) 2) (*.f64 (cbrt.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))) (pow.f64 alpha -2)))
(*.f64 (*.f64 (pow.f64 alpha -2) (+.f64 2 beta)) (+.f64 (+.f64 2 beta) beta))
(*.f64 (+.f64 2 (+.f64 beta beta)) (*.f64 (+.f64 2 beta) (pow.f64 alpha -2)))
(*.f64 (/.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) alpha) (/.f64 1 alpha))
(/.f64 (fma.f64 beta (+.f64 2 beta) (pow.f64 (+.f64 2 beta) 2)) (*.f64 alpha alpha))
(*.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) (/.f64 (+.f64 2 beta) alpha))
(*.f64 (/.f64 1 alpha) (/.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) alpha))
(/.f64 (fma.f64 beta (+.f64 2 beta) (pow.f64 (+.f64 2 beta) 2)) (*.f64 alpha alpha))
(*.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) (/.f64 (+.f64 2 beta) alpha))
(*.f64 (pow.f64 alpha -2) (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))))
(*.f64 (*.f64 (pow.f64 alpha -2) (+.f64 2 beta)) (+.f64 (+.f64 2 beta) beta))
(*.f64 (+.f64 2 (+.f64 beta beta)) (*.f64 (+.f64 2 beta) (pow.f64 alpha -2)))
(*.f64 (neg.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))) (/.f64 1 (*.f64 alpha (neg.f64 alpha))))
(*.f64 (*.f64 (+.f64 2 beta) (neg.f64 (+.f64 (+.f64 2 beta) beta))) (/.f64 1 (*.f64 alpha (neg.f64 alpha))))
(*.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 -2 (*.f64 beta -2)) (neg.f64 alpha)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 alpha 4))) (/.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 (cbrt.f64 alpha) 2)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 alpha 4))) (/.f64 (*.f64 (+.f64 2 beta) (+.f64 (+.f64 2 beta) beta)) (pow.f64 (cbrt.f64 alpha) 2)))
(/.f64 (*.f64 (/.f64 (+.f64 2 beta) (pow.f64 (cbrt.f64 alpha) 2)) (+.f64 2 (+.f64 beta beta))) (cbrt.f64 (pow.f64 alpha 4)))
(*.f64 (/.f64 (hypot.f64 (+.f64 2 beta) (sqrt.f64 (*.f64 beta (+.f64 2 beta)))) 1) (/.f64 (hypot.f64 (+.f64 2 beta) (sqrt.f64 (*.f64 beta (+.f64 2 beta)))) (*.f64 alpha alpha)))
(pow.f64 (/.f64 (hypot.f64 (+.f64 2 beta) (sqrt.f64 (*.f64 beta (+.f64 2 beta)))) alpha) 2)
(*.f64 (/.f64 (hypot.f64 (+.f64 2 beta) (sqrt.f64 (*.f64 beta (+.f64 2 beta)))) (cbrt.f64 (pow.f64 alpha 4))) (/.f64 (hypot.f64 (+.f64 2 beta) (sqrt.f64 (*.f64 beta (+.f64 2 beta)))) (pow.f64 (cbrt.f64 alpha) 2)))
(/.f64 (/.f64 (pow.f64 (hypot.f64 (+.f64 2 beta) (sqrt.f64 (*.f64 beta (+.f64 2 beta)))) 2) (cbrt.f64 (pow.f64 alpha 4))) (pow.f64 (cbrt.f64 alpha) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))) 2) alpha) (/.f64 (cbrt.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))) alpha))
(/.f64 (fma.f64 beta (+.f64 2 beta) (pow.f64 (+.f64 2 beta) 2)) (*.f64 alpha alpha))
(*.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) (/.f64 (+.f64 2 beta) alpha))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))) (*.f64 alpha alpha)))
(/.f64 (fma.f64 beta (+.f64 2 beta) (pow.f64 (+.f64 2 beta) 2)) (*.f64 alpha alpha))
(*.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) (/.f64 (+.f64 2 beta) alpha))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))) 2) (cbrt.f64 (pow.f64 alpha 4))) (cbrt.f64 (*.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 alpha -2) (+.f64 2 beta)) (+.f64 (+.f64 2 beta) beta))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 2 beta) (+.f64 (+.f64 2 beta) beta))) 2) (cbrt.f64 (pow.f64 alpha 4))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 (+.f64 2 (+.f64 beta beta)) (*.f64 (+.f64 2 beta) (pow.f64 alpha -2)))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))) 2)) (cbrt.f64 (pow.f64 alpha 4)))
(pow.f64 (*.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2)) 1)
(*.f64 (*.f64 (pow.f64 alpha -2) (+.f64 2 beta)) (+.f64 (+.f64 2 beta) beta))
(*.f64 (+.f64 2 (+.f64 beta beta)) (*.f64 (+.f64 2 beta) (pow.f64 alpha -2)))
(pow.f64 (/.f64 (hypot.f64 (+.f64 2 beta) (sqrt.f64 (*.f64 beta (+.f64 2 beta)))) alpha) 2)
(pow.f64 (cbrt.f64 (*.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2))) 3)
(*.f64 (*.f64 (pow.f64 alpha -2) (+.f64 2 beta)) (+.f64 (+.f64 2 beta) beta))
(*.f64 (+.f64 2 (+.f64 beta beta)) (*.f64 (+.f64 2 beta) (pow.f64 alpha -2)))
(pow.f64 (/.f64 (*.f64 alpha alpha) (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))) -1)
(/.f64 (fma.f64 beta (+.f64 2 beta) (pow.f64 (+.f64 2 beta) 2)) (*.f64 alpha alpha))
(*.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) (/.f64 (+.f64 2 beta) alpha))
(pow.f64 (pow.f64 (*.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2)) 3) 1/3)
(*.f64 (*.f64 (pow.f64 alpha -2) (+.f64 2 beta)) (+.f64 (+.f64 2 beta) beta))
(*.f64 (+.f64 2 (+.f64 beta beta)) (*.f64 (+.f64 2 beta) (pow.f64 alpha -2)))
(neg.f64 (/.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (*.f64 alpha (neg.f64 alpha))))
(*.f64 (*.f64 (+.f64 2 beta) (neg.f64 (+.f64 (+.f64 2 beta) beta))) (/.f64 1 (*.f64 alpha (neg.f64 alpha))))
(*.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 -2 (*.f64 beta -2)) (neg.f64 alpha)))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) 2) (pow.f64 alpha 4)))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 2 beta) (+.f64 (+.f64 2 beta) beta)) 2) (pow.f64 alpha 4)))
(log.f64 (pow.f64 (exp.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))) (pow.f64 alpha -2)))
(*.f64 (*.f64 (pow.f64 alpha -2) (+.f64 2 beta)) (+.f64 (+.f64 2 beta) beta))
(*.f64 (+.f64 2 (+.f64 beta beta)) (*.f64 (+.f64 2 beta) (pow.f64 alpha -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2)))))
(*.f64 (*.f64 (pow.f64 alpha -2) (+.f64 2 beta)) (+.f64 (+.f64 2 beta) beta))
(*.f64 (+.f64 2 (+.f64 beta beta)) (*.f64 (+.f64 2 beta) (pow.f64 alpha -2)))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2)) 3))
(*.f64 (*.f64 (pow.f64 alpha -2) (+.f64 2 beta)) (+.f64 (+.f64 2 beta) beta))
(*.f64 (+.f64 2 (+.f64 beta beta)) (*.f64 (+.f64 2 beta) (pow.f64 alpha -2)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2))))
(*.f64 (*.f64 (pow.f64 alpha -2) (+.f64 2 beta)) (+.f64 (+.f64 2 beta) beta))
(*.f64 (+.f64 2 (+.f64 beta beta)) (*.f64 (+.f64 2 beta) (pow.f64 alpha -2)))
(exp.f64 (log.f64 (*.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2))))
(*.f64 (*.f64 (pow.f64 alpha -2) (+.f64 2 beta)) (+.f64 (+.f64 2 beta) beta))
(*.f64 (+.f64 2 (+.f64 beta beta)) (*.f64 (+.f64 2 beta) (pow.f64 alpha -2)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2))) 1))
(*.f64 (*.f64 (pow.f64 alpha -2) (+.f64 2 beta)) (+.f64 (+.f64 2 beta) beta))
(*.f64 (+.f64 2 (+.f64 beta beta)) (*.f64 (+.f64 2 beta) (pow.f64 alpha -2)))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2))))
(*.f64 (*.f64 (pow.f64 alpha -2) (+.f64 2 beta)) (+.f64 (+.f64 2 beta) beta))
(*.f64 (+.f64 2 (+.f64 beta beta)) (*.f64 (+.f64 2 beta) (pow.f64 alpha -2)))
(-.f64 (/.f64 beta alpha) (-.f64 (/.f64 (+.f64 2 beta) alpha) (*.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2))))
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(pow.f64 (+.f64 2 beta) 2)
(*.f64 (cbrt.f64 (pow.f64 (+.f64 2 beta) 4)) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (cbrt.f64 (pow.f64 (+.f64 2 beta) 4)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 2 beta) 4)) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (*.f64 (cbrt.f64 (+.f64 2 beta)) (+.f64 2 beta)))
(pow.f64 (+.f64 2 beta) 2)
(*.f64 (*.f64 (+.f64 2 beta) (sqrt.f64 (+.f64 2 beta))) (sqrt.f64 (+.f64 2 beta)))
(pow.f64 (+.f64 2 beta) 2)
(*.f64 (*.f64 (+.f64 2 beta) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2)) (cbrt.f64 (+.f64 2 beta)))
(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 (+.f64 8 (pow.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (+.f64 4 (*.f64 beta (+.f64 beta -2)))) (+.f64 4 (*.f64 beta (+.f64 beta -2))))
(/.f64 (*.f64 (+.f64 4 (*.f64 beta beta)) (+.f64 4 (*.f64 beta beta))) (pow.f64 (+.f64 2 beta) 2))
(/.f64 (+.f64 4 (*.f64 beta beta)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 4 (*.f64 beta beta))))
(*.f64 (/.f64 (+.f64 4 (*.f64 beta beta)) (pow.f64 (+.f64 2 beta) 2)) (+.f64 4 (*.f64 beta beta)))
(/.f64 (*.f64 (+.f64 2 beta) (+.f64 4 (*.f64 beta beta))) (+.f64 2 beta))
(/.f64 (+.f64 2 beta) (/.f64 (+.f64 2 beta) (+.f64 4 (*.f64 beta beta))))
(*.f64 1 (+.f64 4 (*.f64 beta beta)))
(/.f64 (*.f64 (+.f64 2 beta) (+.f64 8 (pow.f64 beta 3))) (+.f64 4 (*.f64 beta (+.f64 beta -2))))
(*.f64 (/.f64 (+.f64 2 beta) (+.f64 4 (*.f64 beta (+.f64 beta -2)))) (+.f64 8 (pow.f64 beta 3)))
(/.f64 (*.f64 (+.f64 4 (*.f64 beta beta)) (+.f64 2 beta)) (+.f64 2 beta))
(/.f64 (+.f64 2 beta) (/.f64 (+.f64 2 beta) (+.f64 4 (*.f64 beta beta))))
(*.f64 1 (+.f64 4 (*.f64 beta beta)))
(/.f64 (*.f64 (+.f64 8 (pow.f64 beta 3)) (+.f64 2 beta)) (+.f64 4 (*.f64 beta (+.f64 beta -2))))
(/.f64 (*.f64 (+.f64 2 beta) (+.f64 8 (pow.f64 beta 3))) (+.f64 4 (*.f64 beta (+.f64 beta -2))))
(*.f64 (/.f64 (+.f64 2 beta) (+.f64 4 (*.f64 beta (+.f64 beta -2)))) (+.f64 8 (pow.f64 beta 3)))
(/.f64 (*.f64 (+.f64 4 (*.f64 beta beta)) (+.f64 8 (pow.f64 beta 3))) (*.f64 (+.f64 2 beta) (+.f64 4 (*.f64 beta (+.f64 beta -2)))))
(/.f64 (/.f64 (*.f64 (+.f64 8 (pow.f64 beta 3)) (+.f64 4 (*.f64 beta beta))) (+.f64 2 beta)) (+.f64 4 (*.f64 beta (+.f64 beta -2))))
(/.f64 (+.f64 4 (*.f64 beta beta)) (/.f64 (+.f64 4 (*.f64 beta (+.f64 beta -2))) (/.f64 (+.f64 8 (pow.f64 beta 3)) (+.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 2 beta)))
(/.f64 (/.f64 (*.f64 (+.f64 8 (pow.f64 beta 3)) (+.f64 4 (*.f64 beta beta))) (+.f64 2 beta)) (+.f64 4 (*.f64 beta (+.f64 beta -2))))
(/.f64 (+.f64 4 (*.f64 beta beta)) (/.f64 (+.f64 4 (*.f64 beta (+.f64 beta -2))) (/.f64 (+.f64 8 (pow.f64 beta 3)) (+.f64 2 beta))))
(sqrt.f64 (pow.f64 (+.f64 2 beta) 4))
(log.f64 (exp.f64 (pow.f64 (+.f64 2 beta) 2)))
(pow.f64 (+.f64 2 beta) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 2 beta) 2))))
(pow.f64 (+.f64 2 beta) 2)
(cbrt.f64 (pow.f64 (+.f64 2 beta) 6))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 2 beta) 2)))
(pow.f64 (+.f64 2 beta) 2)
(exp.f64 (*.f64 2 (log.f64 (+.f64 2 beta))))
(pow.f64 (exp.f64 2) (log.f64 (+.f64 2 beta)))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (+.f64 2 beta))) 1))
(pow.f64 (exp.f64 2) (log.f64 (+.f64 2 beta)))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 2 beta) 2)))
(pow.f64 (+.f64 2 beta) 2)

eval575.0ms (5.6%)

Compiler

Compiled 36124 to 23332 computations (35.4% saved)

prune389.0ms (3.8%)

Pruning

14 alts after pruning (11 fresh and 3 done)

PrunedKeptTotal
New112281130
Fresh235
Picked101
Done134
Total1126141140
Error
0.0b
Counts
1140 → 14
Alt Table
Click to see full alt table
StatusErrorProgram
47.2b
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
49.4b
(/.f64 (/.f64 2 alpha) 2)
29.6b
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
16.1b
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
61.5b
(/.f64 (+.f64 (+.f64 (-.f64 (/.f64 beta alpha) (/.f64 (-.f64 -2 beta) alpha)) -1) 1) 2)
31.1b
(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 alpha 2)) (-.f64 beta alpha)) 1) 2)
47.2b
(/.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) 2)
32.7b
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
59.0b
(/.f64 (*.f64 (/.f64 2 alpha) beta) 2)
59.0b
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
59.9b
(/.f64 (*.f64 -1 (-.f64 (*.f64 2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))) (*.f64 beta (+.f64 (/.f64 2 alpha) (/.f64 -6 (*.f64 alpha alpha)))))) 2)
47.5b
(/.f64 (*.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (*.f64 2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))))) 2)
14.5b
(/.f64 (log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 2)
40.3b
(/.f64 2 2)
Compiler

Compiled 347 to 265 computations (23.6% saved)

localize56.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiled 77 to 45 computations (41.6% saved)

series11.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

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

rewrite109.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1838×associate-/r*
1528×associate-/l*
324×+-commutative
316×add-sqr-sqrt
308×*-un-lft-identity
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
014122
1311122
24351122
Stop Event
node limit
Counts
4 → 187
Calls
Call 1
Inputs
(log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)
(exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) (#(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 0 (+.f64 (/.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 (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.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)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2)))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))))))) (#(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 (+.f64 0 (/.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 0 (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 0 (+.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 0 (/.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 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (/.f64 1 (-.f64 1 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (-.f64 1 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))) (/.f64 (-.f64 1 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)) (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1))) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)))) (/.f64 (-.f64 1 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)) (neg.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) 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simplify230.0ms (2.2%)

Algorithm
egg-herbie
Rules
904×fma-def
796×+-commutative
566×associate-*r*
542×associate-+r+
512×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
064818827
1193417985
Stop Event
node limit
Counts
283 → 358
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)))))
(+.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))))))
(exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))
(+.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (*.f64 beta (*.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))))))
(+.f64 (*.f64 (pow.f64 beta 2) (*.f64 (-.f64 (+.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (*.f64 1/2 (pow.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))) 2))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))))) (+.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (*.f64 beta (*.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))))))
(+.f64 (*.f64 (pow.f64 beta 2) (*.f64 (-.f64 (+.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (*.f64 1/2 (pow.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))) 2))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))))) (+.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 (*.f64 beta (*.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))))) (*.f64 (pow.f64 beta 3) (*.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 (*.f64 1/6 (pow.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))) (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))))))))
(exp.f64 2)
(+.f64 (exp.f64 2) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 alpha)) (exp.f64 2)) beta)))
(+.f64 (/.f64 (*.f64 (exp.f64 2) (-.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2)) (*.f64 (+.f64 2 alpha) alpha)) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 beta 2)) (+.f64 (exp.f64 2) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 alpha)) (exp.f64 2)) beta))))
(+.f64 (/.f64 (*.f64 (exp.f64 2) (-.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2)) (*.f64 (+.f64 2 alpha) alpha)) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 beta 2)) (+.f64 (exp.f64 2) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha)) (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 2 (*.f64 2 alpha)))) (*.f64 -1/6 (pow.f64 (+.f64 2 (*.f64 2 alpha)) 3)))) (pow.f64 (+.f64 2 alpha) 3)) (exp.f64 2)) (pow.f64 beta 3)) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 alpha)) (exp.f64 2)) beta)))))
(exp.f64 2)
(+.f64 (exp.f64 2) (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (exp.f64 2)) beta))
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha))) (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2))) (exp.f64 2)) (pow.f64 beta 2)) (+.f64 (exp.f64 2) (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (exp.f64 2)) beta)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 2) (+.f64 (*.f64 -1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) (+.f64 (*.f64 -1/6 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 3)) (*.f64 (+.f64 2 alpha) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2))))) (pow.f64 beta 3))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha))) (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2))) (exp.f64 2)) (pow.f64 beta 2)) (+.f64 (exp.f64 2) (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (exp.f64 2)) beta))))
(exp.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))))
(+.f64 (exp.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (*.f64 -1 (*.f64 (exp.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha))))
(+.f64 (exp.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (+.f64 (*.f64 (exp.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 1/2 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2))) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2))) (*.f64 -1 (*.f64 (exp.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)))))
(+.f64 (*.f64 (exp.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (*.f64 (pow.f64 alpha 3) (+.f64 (*.f64 -1 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))))) (+.f64 (*.f64 -1 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))) (*.f64 -1/6 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 3)))))) (+.f64 (exp.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (+.f64 (*.f64 (exp.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 1/2 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2))) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2))) (*.f64 -1 (*.f64 (exp.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha))))))
1
(+.f64 1 (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))))
(-.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 2) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))))) (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)))
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 3) (pow.f64 alpha 3))) (+.f64 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2)))) (pow.f64 alpha 3)) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 2) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))))))))) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))
1
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) 1)
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))))))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))) (+.f64 (*.f64 -1 (+.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 3))) (*.f64 1/6 (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 3)))) (pow.f64 alpha 3)))))))
(*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))
(+.f64 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))))
(+.f64 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))))
(+.f64 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (*.f64 (pow.f64 beta 3) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))))))
1
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 1) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) 1)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta))))
1
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 1) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) 1)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta))))
(/.f64 beta (+.f64 beta 2))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)) (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)) (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2)))))
-1
(-.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1))
(-.f64 (+.f64 (/.f64 beta alpha) (*.f64 -1 (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1))
(-.f64 (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1))
-1
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(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) (+.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) (-.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) 1) (-.f64 1 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (sqrt.f64 (-.f64 1 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))))) (sqrt.f64 (-.f64 1 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (*.f64 (cbrt.f64 (-.f64 1 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))) (cbrt.f64 (-.f64 1 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))))) (cbrt.f64 (-.f64 1 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (sqrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) (sqrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (*.f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3))
(expm1.f64 (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 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))) 1)
(*.f64 1 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(*.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 1)
(*.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) (sqrt.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))
(*.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2)) (cbrt.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))
(*.f64 (E.f64) (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (E.f64))
(pow.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 1)
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 2)
(pow.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 3)
(pow.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 3) 1/3)
(pow.f64 (E.f64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))
(pow.f64 (exp.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2)) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(sqrt.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2))
(log.f64 (exp.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))))
(cbrt.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 3))
(expm1.f64 (log1p.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))
(log1p.f64 (expm1.f64 (exp.f64 (+.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 0 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
(+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2))) (-.f64 (log.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))) 1))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))) (-.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))) 1))
(+.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 beta alpha) (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1))
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)
(*.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (sqrt.f64 (-.f64 beta alpha)) (*.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1))
(*.f64 (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)))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (cbrt.f64 (pow.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 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)))
(*.f64 (/.f64 (-.f64 beta alpha) (+.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 (sqrt.f64 (-.f64 beta alpha)) 1) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (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)))))
(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 beta beta) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))))) (/.f64 alpha (+.f64 alpha 2)))
(fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (-.f64 (fma.f64 (*.f64 beta beta) (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 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 (*.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)
(-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))
(-.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))) (/.f64 (neg.f64 (pow.f64 (+.f64 alpha 2) 2)) (*.f64 beta beta)))
(+.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) (+.f64 (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))))
(-.f64 (+.f64 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2) (+.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)) (neg.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) alpha))))) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))))
(+.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) (-.f64 (-.f64 (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) alpha))) (-.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))))
2
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(-.f64 (fma.f64 -1 (/.f64 alpha beta) 2) (+.f64 (/.f64 alpha beta) (/.f64 2 beta)))
(-.f64 (-.f64 2 (/.f64 alpha beta)) (+.f64 (/.f64 alpha beta) (/.f64 2 beta)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta))))
(-.f64 (fma.f64 -1 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (*.f64 beta beta) (+.f64 alpha 2))) (fma.f64 -1 (/.f64 alpha beta) 2)) (+.f64 (/.f64 alpha beta) (/.f64 2 beta)))
(-.f64 (-.f64 (-.f64 2 (/.f64 alpha beta)) (*.f64 (/.f64 (+.f64 alpha 2) (*.f64 beta beta)) (-.f64 (fma.f64 alpha -1 -2) alpha))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 2 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta))))
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2
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2
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(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (fma.f64 2 beta 2) alpha)
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(neg.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha))
(/.f64 (neg.f64 (fma.f64 beta -1 (-.f64 -2 beta))) alpha)
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(exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))
(exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))
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(exp.f64 2)
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(+.f64 (exp.f64 2) (neg.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) (/.f64 beta (exp.f64 2)))))
(-.f64 (exp.f64 2) (*.f64 (/.f64 (fma.f64 alpha 2 2) beta) (exp.f64 2)))
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(exp.f64 2)
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1
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1
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1
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(*.f64 (/.f64 (-.f64 beta alpha) (+.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 beta alpha) (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) 1) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha 2) beta)) 2)) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 (+.f64 alpha 2) beta))))
(/.f64 (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) 1) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(*.f64 (/.f64 (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 1 (sqrt.f64 (+.f64 (+.f64 alpha 2) beta))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 (+.f64 alpha 2) beta))))
(/.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (sqrt.f64 (+.f64 alpha (+.f64 2 beta))))
(*.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) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) (pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha 2) beta)) 2))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2)) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (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 1 (-.f64 -2 (+.f64 alpha beta))))
(/.f64 (+.f64 (neg.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))
(fabs.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
(log.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(exp.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))

localize5.0ms (0%)

Compiler

Compiled 12 to 9 computations (25% saved)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 20 to 13 computations (35% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite106.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1450×add-sqr-sqrt
1428×*-un-lft-identity
1332×add-cube-cbrt
1316×add-cbrt-cube
1302×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
114813
2179513
Stop Event
node limit
Counts
1 → 22
Calls
Call 1
Inputs
(*.f64 (/.f64 2 alpha) beta)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 2 (/.f64 beta alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 alpha beta))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 beta (*.f64 alpha 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 alpha (*.f64 2 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 beta) alpha)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 beta -2) (neg.f64 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 beta) (neg.f64 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 beta) 1) alpha)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 beta) (sqrt.f64 alpha)) (sqrt.f64 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 beta) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 beta)) (neg.f64 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (/.f64 beta alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 2 (/.f64 beta alpha))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2 (/.f64 beta alpha))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2 (/.f64 beta alpha)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 2 (/.f64 beta alpha)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 beta) (/.f64 2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 2 (/.f64 beta alpha)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2 (/.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2 (/.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 beta alpha))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2 (/.f64 beta alpha))))))))

simplify47.0ms (0.5%)

Algorithm
egg-herbie
Rules
1796×distribute-rgt-in
1776×distribute-lft-in
1130×associate-*r*
976×associate-*l*
668×associate-+r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061598
1144598
2551598
34254598
Stop Event
node limit
Counts
46 → 23
Calls
Call 1
Inputs
(*.f64 2 (/.f64 beta alpha))
(*.f64 2 (/.f64 beta alpha))
(*.f64 2 (/.f64 beta alpha))
(*.f64 2 (/.f64 beta alpha))
(*.f64 2 (/.f64 beta alpha))
(*.f64 2 (/.f64 beta alpha))
(*.f64 2 (/.f64 beta alpha))
(*.f64 2 (/.f64 beta alpha))
(*.f64 2 (/.f64 beta alpha))
(*.f64 2 (/.f64 beta alpha))
(*.f64 2 (/.f64 beta alpha))
(*.f64 2 (/.f64 beta alpha))
(*.f64 2 (/.f64 beta alpha))
(*.f64 2 (/.f64 beta alpha))
(*.f64 2 (/.f64 beta alpha))
(*.f64 2 (/.f64 beta alpha))
(*.f64 2 (/.f64 beta alpha))
(*.f64 2 (/.f64 beta alpha))
(*.f64 2 (/.f64 beta alpha))
(*.f64 2 (/.f64 beta alpha))
(*.f64 2 (/.f64 beta alpha))
(*.f64 2 (/.f64 beta alpha))
(*.f64 2 (/.f64 beta alpha))
(*.f64 2 (/.f64 beta alpha))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 beta alpha))) 1)
(/.f64 2 (/.f64 alpha beta))
(/.f64 beta (*.f64 alpha 1/2))
(/.f64 1 (/.f64 alpha (*.f64 2 beta)))
(/.f64 (*.f64 2 beta) alpha)
(/.f64 (*.f64 beta -2) (neg.f64 alpha))
(/.f64 (*.f64 -2 beta) (neg.f64 alpha))
(/.f64 (/.f64 (*.f64 2 beta) 1) alpha)
(/.f64 (/.f64 (*.f64 2 beta) (sqrt.f64 alpha)) (sqrt.f64 alpha))
(/.f64 (/.f64 (*.f64 2 beta) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 alpha))
(/.f64 (neg.f64 (*.f64 2 beta)) (neg.f64 alpha))
(pow.f64 (*.f64 2 (/.f64 beta alpha)) 1)
(pow.f64 (sqrt.f64 (*.f64 2 (/.f64 beta alpha))) 2)
(pow.f64 (cbrt.f64 (*.f64 2 (/.f64 beta alpha))) 3)
(pow.f64 (pow.f64 (*.f64 2 (/.f64 beta alpha)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 2 (/.f64 beta alpha)) 2))
(log.f64 (pow.f64 (exp.f64 beta) (/.f64 2 alpha)))
(cbrt.f64 (pow.f64 (*.f64 2 (/.f64 beta alpha)) 3))
(expm1.f64 (log1p.f64 (*.f64 2 (/.f64 beta alpha))))
(exp.f64 (log.f64 (*.f64 2 (/.f64 beta alpha))))
(exp.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 beta alpha))) 1))
(log1p.f64 (expm1.f64 (*.f64 2 (/.f64 beta alpha))))
Outputs
(*.f64 2 (/.f64 beta alpha))
(*.f64 2 (/.f64 beta alpha))
(*.f64 2 (/.f64 beta alpha))
(*.f64 2 (/.f64 beta alpha))
(*.f64 2 (/.f64 beta alpha))
(*.f64 2 (/.f64 beta alpha))
(*.f64 2 (/.f64 beta alpha))
(*.f64 2 (/.f64 beta alpha))
(*.f64 2 (/.f64 beta alpha))
(*.f64 2 (/.f64 beta alpha))
(*.f64 2 (/.f64 beta alpha))
(*.f64 2 (/.f64 beta alpha))
(*.f64 2 (/.f64 beta alpha))
(*.f64 2 (/.f64 beta alpha))
(*.f64 2 (/.f64 beta alpha))
(*.f64 2 (/.f64 beta alpha))
(*.f64 2 (/.f64 beta alpha))
(*.f64 2 (/.f64 beta alpha))
(*.f64 2 (/.f64 beta alpha))
(*.f64 2 (/.f64 beta alpha))
(*.f64 2 (/.f64 beta alpha))
(*.f64 2 (/.f64 beta alpha))
(*.f64 2 (/.f64 beta alpha))
(*.f64 2 (/.f64 beta alpha))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 beta alpha))) 1)
(*.f64 2 (/.f64 beta alpha))
(/.f64 2 (/.f64 alpha beta))
(*.f64 2 (/.f64 beta alpha))
(/.f64 beta (*.f64 alpha 1/2))
(*.f64 2 (/.f64 beta alpha))
(/.f64 1 (/.f64 alpha (*.f64 2 beta)))
(*.f64 2 (/.f64 beta alpha))
(/.f64 (*.f64 2 beta) alpha)
(*.f64 2 (/.f64 beta alpha))
(/.f64 (*.f64 beta -2) (neg.f64 alpha))
(*.f64 2 (/.f64 beta alpha))
(/.f64 (*.f64 -2 beta) (neg.f64 alpha))
(*.f64 2 (/.f64 beta alpha))
(/.f64 (/.f64 (*.f64 2 beta) 1) alpha)
(*.f64 2 (/.f64 beta alpha))
(/.f64 (/.f64 (*.f64 2 beta) (sqrt.f64 alpha)) (sqrt.f64 alpha))
(*.f64 2 (/.f64 beta alpha))
(/.f64 (/.f64 (*.f64 2 beta) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 alpha))
(*.f64 2 (/.f64 beta alpha))
(/.f64 (neg.f64 (*.f64 2 beta)) (neg.f64 alpha))
(*.f64 2 (/.f64 beta alpha))
(pow.f64 (*.f64 2 (/.f64 beta alpha)) 1)
(*.f64 2 (/.f64 beta alpha))
(pow.f64 (sqrt.f64 (*.f64 2 (/.f64 beta alpha))) 2)
(*.f64 2 (/.f64 beta alpha))
(pow.f64 (cbrt.f64 (*.f64 2 (/.f64 beta alpha))) 3)
(*.f64 2 (/.f64 beta alpha))
(pow.f64 (pow.f64 (*.f64 2 (/.f64 beta alpha)) 3) 1/3)
(*.f64 2 (/.f64 beta alpha))
(sqrt.f64 (pow.f64 (*.f64 2 (/.f64 beta alpha)) 2))
(*.f64 2 (/.f64 beta alpha))
(log.f64 (pow.f64 (exp.f64 beta) (/.f64 2 alpha)))
(*.f64 2 (/.f64 beta alpha))
(cbrt.f64 (pow.f64 (*.f64 2 (/.f64 beta alpha)) 3))
(*.f64 2 (/.f64 beta alpha))
(expm1.f64 (log1p.f64 (*.f64 2 (/.f64 beta alpha))))
(*.f64 2 (/.f64 beta alpha))
(exp.f64 (log.f64 (*.f64 2 (/.f64 beta alpha))))
(*.f64 2 (/.f64 beta alpha))
(exp.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 beta alpha))) 1))
(*.f64 2 (/.f64 beta alpha))
(log1p.f64 (expm1.f64 (*.f64 2 (/.f64 beta alpha))))
(*.f64 2 (/.f64 beta alpha))

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 alpha (+.f64 alpha 2))
1.9b
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
Compiler

Compiled 29 to 21 computations (27.6% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite109.0ms (1.1%)

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

Useful iterations: 0 (0.0ms)

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

simplify169.0ms (1.6%)

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

Useful iterations: 2 (0.0ms)

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

localize18.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(/.f64 1 (+.f64 alpha 2))
0.1b
(*.f64 (/.f64 1 (+.f64 alpha 2)) (-.f64 beta alpha))
3.6b
(+.f64 (*.f64 (/.f64 1 (+.f64 alpha 2)) (-.f64 beta alpha)) 1)
Compiler

Compiled 50 to 32 computations (36% saved)

series4.0ms (0%)

Counts
3 → 60
Calls

15 calls:

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

rewrite126.0ms (1.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01157
125257
2343857
Stop Event
node limit
Counts
3 → 265
Calls
Call 1
Inputs
(+.f64 (*.f64 (/.f64 1 (+.f64 alpha 2)) (-.f64 beta alpha)) 1)
(*.f64 (/.f64 1 (+.f64 alpha 2)) (-.f64 beta alpha))
(/.f64 1 (+.f64 alpha 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 alpha 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha 2)) 2) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha 2)) -1)) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha 2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 beta (+.f64 alpha 2)) (-.f64 (/.f64 alpha (+.f64 alpha 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 alpha 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha 2)))) (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha 2)))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha 2)))) 2) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha 2)) 2) -1) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha 2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha 2)) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha 2)) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha 2)) -1)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha 2)) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha 2)) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha 2))))) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha 2)) 2) -1) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha 2)) 2) -1)) (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha 2)) 2) -1) (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha 2)) 3) 1)) (+.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha 2)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha 2)) 2))))))) (#(struct:change #<rule egg-rr> 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simplify212.0ms (2.1%)

Algorithm
egg-herbie
Rules
912×associate-/l*
794×associate-/r*
788×associate-*r*
750×distribute-lft-in
740×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
084015799
1249915509
Stop Event
node limit
Counts
325 → 493
Calls
Call 1
Inputs
(+.f64 1 (*.f64 1/2 beta))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 (*.f64 1/4 beta)) alpha)) (*.f64 1/2 beta)))
(+.f64 (*.f64 (-.f64 1/4 (*.f64 -1/8 beta)) (pow.f64 alpha 2)) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 (*.f64 1/4 beta)) alpha)) (*.f64 1/2 beta))))
(+.f64 (*.f64 (-.f64 1/4 (*.f64 -1/8 beta)) (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/8 (*.f64 1/16 beta)) (pow.f64 alpha 3))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 (*.f64 1/4 beta)) alpha)) (*.f64 1/2 beta)))))
(/.f64 (+.f64 beta 2) alpha)
(+.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 alpha))))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 alpha))))) (*.f64 -4 (/.f64 beta (pow.f64 alpha 3))))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (+.f64 16 (*.f64 8 beta)) (pow.f64 alpha 4))) (*.f64 2 (/.f64 1 alpha)))))) (*.f64 -4 (/.f64 beta (pow.f64 alpha 3))))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) 2) alpha))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) 2) alpha)) (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 alpha 2))))
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) 2) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 alpha 2))) (*.f64 4 (/.f64 beta (pow.f64 alpha 3))))))
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) 2) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 16 (*.f64 8 beta)) (pow.f64 alpha 4))) (*.f64 4 (/.f64 beta (pow.f64 alpha 3)))))))
(-.f64 1 (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 1 (/.f64 beta (+.f64 2 alpha))) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 1 (/.f64 beta (+.f64 2 alpha))) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 1 (/.f64 beta (+.f64 2 alpha))) (/.f64 alpha (+.f64 2 alpha)))
(/.f64 beta (+.f64 2 alpha))
(-.f64 (+.f64 1 (/.f64 beta (+.f64 2 alpha))) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 1 (/.f64 beta (+.f64 2 alpha))) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 1 (/.f64 beta (+.f64 2 alpha))) (/.f64 alpha (+.f64 2 alpha)))
(/.f64 beta (+.f64 2 alpha))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (/.f64 beta (+.f64 2 alpha))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (/.f64 beta (+.f64 2 alpha))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (/.f64 beta (+.f64 2 alpha))))
(*.f64 1/2 beta)
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 (*.f64 1/4 beta)) alpha)) (*.f64 1/2 beta))
(+.f64 (*.f64 1/2 (*.f64 (+.f64 1/2 (*.f64 1/4 beta)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 (*.f64 1/4 beta)) alpha)) (*.f64 1/2 beta)))
(+.f64 (*.f64 1/2 (*.f64 (+.f64 1/2 (*.f64 1/4 beta)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 (*.f64 1/4 beta)) alpha)) (+.f64 (*.f64 1/2 beta) (*.f64 -1/4 (*.f64 (+.f64 1/2 (*.f64 1/4 beta)) (pow.f64 alpha 3))))))
-1
(-.f64 (+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 alpha))) 1)
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (/.f64 beta alpha) (*.f64 -2 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))))) 1)
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 4 (/.f64 (+.f64 beta 2) (pow.f64 alpha 3))) (*.f64 -2 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))))) 1)
-1
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) 2) alpha)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) 2) alpha)) (*.f64 2 (/.f64 (-.f64 (*.f64 -1 beta) 2) (pow.f64 alpha 2)))) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) 2) alpha)) (+.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 -1 beta) 2) (pow.f64 alpha 2))) (*.f64 -4 (/.f64 (-.f64 (*.f64 -1 beta) 2) (pow.f64 alpha 3))))) 1)
(*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))
(+.f64 (/.f64 beta (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))))
(+.f64 (/.f64 beta (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))))
(+.f64 (/.f64 beta (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))))
(/.f64 beta (+.f64 2 alpha))
(+.f64 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (/.f64 beta (+.f64 2 alpha)))
(+.f64 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (/.f64 beta (+.f64 2 alpha)))
(+.f64 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (/.f64 beta (+.f64 2 alpha)))
(/.f64 beta (+.f64 2 alpha))
(+.f64 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (/.f64 beta (+.f64 2 alpha)))
(+.f64 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (/.f64 beta (+.f64 2 alpha)))
(+.f64 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (/.f64 beta (+.f64 2 alpha)))
1/2
(+.f64 1/2 (*.f64 -1/4 alpha))
(+.f64 (*.f64 1/8 (pow.f64 alpha 2)) (+.f64 1/2 (*.f64 -1/4 alpha)))
(+.f64 (*.f64 1/8 (pow.f64 alpha 2)) (+.f64 1/2 (+.f64 (*.f64 -1/4 alpha) (*.f64 -1/16 (pow.f64 alpha 3)))))
(/.f64 1 alpha)
(-.f64 (/.f64 1 alpha) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha)) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha)) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 4))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))))
(/.f64 1 alpha)
(-.f64 (/.f64 1 alpha) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha)) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha)) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 4))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))))
(-.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha 2))) 0)
(-.f64 (exp.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 alpha 2))))) 1)
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(pow.f64 (+.f64 alpha 2) -1)
(pow.f64 (/.f64 1 (+.f64 alpha 2)) 1)
(pow.f64 (pow.f64 (+.f64 alpha 2) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 alpha 2))) 3)
(pow.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)) 1/3)
(sqrt.f64 (pow.f64 (+.f64 alpha 2) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 alpha 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 alpha 2)))))
(cbrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 alpha 2))))
(exp.f64 (neg.f64 (log.f64 (+.f64 alpha 2))))
(exp.f64 (*.f64 (log.f64 (+.f64 alpha 2)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 alpha 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 alpha 2))))
Outputs
(+.f64 1 (*.f64 1/2 beta))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 (*.f64 1/4 beta)) alpha)) (*.f64 1/2 beta)))
(+.f64 1 (fma.f64 -1 (*.f64 (+.f64 1/2 (*.f64 beta 1/4)) alpha) (*.f64 1/2 beta)))
(+.f64 (*.f64 (-.f64 1/4 (*.f64 -1/8 beta)) (pow.f64 alpha 2)) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 (*.f64 1/4 beta)) alpha)) (*.f64 1/2 beta))))
(fma.f64 (+.f64 1/4 (*.f64 1/8 beta)) (*.f64 alpha alpha) (+.f64 1 (fma.f64 -1 (*.f64 (+.f64 1/2 (*.f64 beta 1/4)) alpha) (*.f64 1/2 beta))))
(fma.f64 (+.f64 1/4 (*.f64 beta 1/8)) (*.f64 alpha alpha) (+.f64 1 (fma.f64 -1 (*.f64 (+.f64 1/2 (*.f64 beta 1/4)) alpha) (*.f64 1/2 beta))))
(+.f64 (*.f64 (-.f64 1/4 (*.f64 -1/8 beta)) (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/8 (*.f64 1/16 beta)) (pow.f64 alpha 3))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 (*.f64 1/4 beta)) alpha)) (*.f64 1/2 beta)))))
(fma.f64 (+.f64 1/4 (*.f64 1/8 beta)) (*.f64 alpha alpha) (fma.f64 -1 (*.f64 (+.f64 1/8 (*.f64 beta 1/16)) (pow.f64 alpha 3)) (+.f64 1 (fma.f64 -1 (*.f64 (+.f64 1/2 (*.f64 beta 1/4)) alpha) (*.f64 1/2 beta)))))
(fma.f64 (+.f64 1/4 (*.f64 beta 1/8)) (*.f64 alpha alpha) (fma.f64 -1 (*.f64 (+.f64 1/8 (*.f64 beta 1/16)) (pow.f64 alpha 3)) (+.f64 1 (fma.f64 -1 (*.f64 (+.f64 1/2 (*.f64 beta 1/4)) alpha) (*.f64 1/2 beta)))))
(/.f64 (+.f64 beta 2) alpha)
(+.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 alpha))))
(fma.f64 -1 (/.f64 (+.f64 4 (*.f64 beta 2)) (*.f64 alpha alpha)) (+.f64 (/.f64 beta alpha) (/.f64 2 alpha)))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 alpha))))) (*.f64 -4 (/.f64 beta (pow.f64 alpha 3))))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (fma.f64 -1 (/.f64 (+.f64 4 (*.f64 beta 2)) (*.f64 alpha alpha)) (+.f64 (/.f64 beta alpha) (/.f64 2 alpha))) (*.f64 -4 (/.f64 beta (pow.f64 alpha 3)))))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 4 (*.f64 beta 2)) (*.f64 alpha alpha)) (+.f64 (/.f64 beta alpha) (/.f64 2 alpha))) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 (*.f64 beta 4) (pow.f64 alpha 3))))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (+.f64 16 (*.f64 8 beta)) (pow.f64 alpha 4))) (*.f64 2 (/.f64 1 alpha)))))) (*.f64 -4 (/.f64 beta (pow.f64 alpha 3))))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (fma.f64 -1 (/.f64 (+.f64 4 (*.f64 beta 2)) (*.f64 alpha alpha)) (+.f64 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (+.f64 16 (*.f64 beta 8)) (pow.f64 alpha 4)) (/.f64 2 alpha)))) (*.f64 -4 (/.f64 beta (pow.f64 alpha 3)))))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 4 (*.f64 beta 2)) (*.f64 alpha alpha)) (+.f64 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (+.f64 16 (*.f64 beta 8)) (pow.f64 alpha 4)) (/.f64 2 alpha)))) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 (*.f64 beta 4) (pow.f64 alpha 3))))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) 2) alpha))
(neg.f64 (/.f64 (fma.f64 -1 beta -2) alpha))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) 2) alpha)) (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 alpha 2))))
(*.f64 -1 (+.f64 (/.f64 (fma.f64 -1 beta -2) alpha) (/.f64 (+.f64 4 (*.f64 beta 2)) (*.f64 alpha alpha))))
(*.f64 -1 (+.f64 (/.f64 (+.f64 4 (*.f64 beta 2)) (*.f64 alpha alpha)) (/.f64 (fma.f64 -1 beta -2) alpha)))
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) 2) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 alpha 2))) (*.f64 4 (/.f64 beta (pow.f64 alpha 3))))))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (fma.f64 -1 (/.f64 (fma.f64 -1 beta -2) alpha) (fma.f64 -1 (/.f64 (+.f64 4 (*.f64 beta 2)) (*.f64 alpha alpha)) (*.f64 4 (/.f64 beta (pow.f64 alpha 3))))))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (fma.f64 -1 (/.f64 (fma.f64 -1 beta -2) alpha) (fma.f64 -1 (/.f64 (+.f64 4 (*.f64 beta 2)) (*.f64 alpha alpha)) (/.f64 (*.f64 beta 4) (pow.f64 alpha 3)))))
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) 2) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 16 (*.f64 8 beta)) (pow.f64 alpha 4))) (*.f64 4 (/.f64 beta (pow.f64 alpha 3)))))))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (fma.f64 -1 (/.f64 (fma.f64 -1 beta -2) alpha) (fma.f64 -1 (/.f64 (+.f64 4 (*.f64 beta 2)) (*.f64 alpha alpha)) (fma.f64 -1 (/.f64 (+.f64 16 (*.f64 beta 8)) (pow.f64 alpha 4)) (*.f64 4 (/.f64 beta (pow.f64 alpha 3)))))))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (fma.f64 -1 (/.f64 (fma.f64 -1 beta -2) alpha) (fma.f64 -1 (/.f64 (+.f64 4 (*.f64 beta 2)) (*.f64 alpha alpha)) (fma.f64 -1 (/.f64 (+.f64 16 (*.f64 beta 8)) (pow.f64 alpha 4)) (/.f64 (*.f64 beta 4) (pow.f64 alpha 3))))))
(-.f64 1 (/.f64 alpha (+.f64 2 alpha)))
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(-.f64 (+.f64 1 (/.f64 beta (+.f64 2 alpha))) (/.f64 alpha (+.f64 2 alpha)))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha 2)))
(-.f64 (+.f64 1 (/.f64 beta (+.f64 2 alpha))) (/.f64 alpha (+.f64 2 alpha)))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha 2)))
(-.f64 (+.f64 1 (/.f64 beta (+.f64 2 alpha))) (/.f64 alpha (+.f64 2 alpha)))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha 2)))
(/.f64 beta (+.f64 2 alpha))
(/.f64 beta (+.f64 alpha 2))
(-.f64 (+.f64 1 (/.f64 beta (+.f64 2 alpha))) (/.f64 alpha (+.f64 2 alpha)))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha 2)))
(-.f64 (+.f64 1 (/.f64 beta (+.f64 2 alpha))) (/.f64 alpha (+.f64 2 alpha)))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha 2)))
(-.f64 (+.f64 1 (/.f64 beta (+.f64 2 alpha))) (/.f64 alpha (+.f64 2 alpha)))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha 2)))
(/.f64 beta (+.f64 2 alpha))
(/.f64 beta (+.f64 alpha 2))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (/.f64 beta (+.f64 2 alpha))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha 2)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (/.f64 beta (+.f64 2 alpha))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha 2)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (/.f64 beta (+.f64 2 alpha))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha 2)))
(*.f64 1/2 beta)
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 (*.f64 1/4 beta)) alpha)) (*.f64 1/2 beta))
(fma.f64 -1 (*.f64 (+.f64 1/2 (*.f64 beta 1/4)) alpha) (*.f64 1/2 beta))
(+.f64 (*.f64 1/2 (*.f64 (+.f64 1/2 (*.f64 1/4 beta)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 (*.f64 1/4 beta)) alpha)) (*.f64 1/2 beta)))
(fma.f64 1/2 (*.f64 (+.f64 1/2 (*.f64 beta 1/4)) (*.f64 alpha alpha)) (fma.f64 -1 (*.f64 (+.f64 1/2 (*.f64 beta 1/4)) alpha) (*.f64 1/2 beta)))
(+.f64 (*.f64 1/2 (*.f64 (+.f64 1/2 (*.f64 1/4 beta)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 (*.f64 1/4 beta)) alpha)) (+.f64 (*.f64 1/2 beta) (*.f64 -1/4 (*.f64 (+.f64 1/2 (*.f64 1/4 beta)) (pow.f64 alpha 3))))))
(fma.f64 1/2 (*.f64 (+.f64 1/2 (*.f64 beta 1/4)) (*.f64 alpha alpha)) (fma.f64 -1 (*.f64 (+.f64 1/2 (*.f64 beta 1/4)) alpha) (fma.f64 1/2 beta (*.f64 (*.f64 -1/4 (+.f64 1/2 (*.f64 beta 1/4))) (pow.f64 alpha 3)))))
(fma.f64 1/2 (*.f64 (+.f64 1/2 (*.f64 beta 1/4)) (*.f64 alpha alpha)) (fma.f64 -1 (*.f64 (+.f64 1/2 (*.f64 beta 1/4)) alpha) (fma.f64 1/2 beta (*.f64 (+.f64 1/2 (*.f64 beta 1/4)) (*.f64 (pow.f64 alpha 3) -1/4)))))
-1
(-.f64 (+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 alpha))) 1)
(+.f64 (/.f64 beta alpha) (-.f64 (/.f64 2 alpha) 1))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (/.f64 beta alpha) (*.f64 -2 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))))) 1)
(+.f64 (+.f64 (/.f64 2 alpha) (+.f64 (/.f64 beta alpha) (*.f64 -2 (/.f64 (+.f64 beta 2) (*.f64 alpha alpha))))) -1)
(+.f64 -1 (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 2 alpha) (*.f64 -2 (/.f64 (+.f64 beta 2) (*.f64 alpha alpha))))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 4 (/.f64 (+.f64 beta 2) (pow.f64 alpha 3))) (*.f64 -2 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))))) 1)
(+.f64 (/.f64 2 alpha) (-.f64 (+.f64 (/.f64 beta alpha) (fma.f64 4 (/.f64 (+.f64 beta 2) (pow.f64 alpha 3)) (*.f64 -2 (/.f64 (+.f64 beta 2) (*.f64 alpha alpha))))) 1))
(+.f64 -1 (+.f64 (/.f64 beta alpha) (+.f64 (fma.f64 4 (/.f64 (+.f64 beta 2) (pow.f64 alpha 3)) (*.f64 -2 (/.f64 (+.f64 beta 2) (*.f64 alpha alpha)))) (/.f64 2 alpha))))
-1
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) 2) alpha)) 1)
(fma.f64 -1 (/.f64 (fma.f64 -1 beta -2) alpha) -1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) 2) alpha)) (*.f64 2 (/.f64 (-.f64 (*.f64 -1 beta) 2) (pow.f64 alpha 2)))) 1)
(+.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 beta -2) alpha) (*.f64 2 (/.f64 (fma.f64 -1 beta -2) (*.f64 alpha alpha)))) -1)
(+.f64 -1 (fma.f64 -1 (/.f64 (fma.f64 -1 beta -2) alpha) (*.f64 2 (/.f64 (fma.f64 -1 beta -2) (*.f64 alpha alpha)))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) 2) alpha)) (+.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 -1 beta) 2) (pow.f64 alpha 2))) (*.f64 -4 (/.f64 (-.f64 (*.f64 -1 beta) 2) (pow.f64 alpha 3))))) 1)
(+.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 beta -2) alpha) (fma.f64 2 (/.f64 (fma.f64 -1 beta -2) (*.f64 alpha alpha)) (*.f64 -4 (/.f64 (fma.f64 -1 beta -2) (pow.f64 alpha 3))))) -1)
(+.f64 (fma.f64 2 (/.f64 (fma.f64 -1 beta -2) (*.f64 alpha alpha)) (*.f64 -4 (/.f64 (fma.f64 -1 beta -2) (pow.f64 alpha 3)))) (fma.f64 -1 (/.f64 (fma.f64 -1 beta -2) alpha) -1))
(*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))
(/.f64 (neg.f64 alpha) (+.f64 alpha 2))
(+.f64 (/.f64 beta (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))))
(/.f64 (-.f64 beta alpha) (+.f64 alpha 2))
(+.f64 (/.f64 beta (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))))
(/.f64 (-.f64 beta alpha) (+.f64 alpha 2))
(+.f64 (/.f64 beta (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))))
(/.f64 (-.f64 beta alpha) (+.f64 alpha 2))
(/.f64 beta (+.f64 2 alpha))
(/.f64 beta (+.f64 alpha 2))
(+.f64 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (/.f64 beta (+.f64 2 alpha)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha 2))
(+.f64 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (/.f64 beta (+.f64 2 alpha)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha 2))
(+.f64 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (/.f64 beta (+.f64 2 alpha)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha 2))
(/.f64 beta (+.f64 2 alpha))
(/.f64 beta (+.f64 alpha 2))
(+.f64 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (/.f64 beta (+.f64 2 alpha)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha 2))
(+.f64 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (/.f64 beta (+.f64 2 alpha)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha 2))
(+.f64 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (/.f64 beta (+.f64 2 alpha)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha 2))
1/2
(+.f64 1/2 (*.f64 -1/4 alpha))
(+.f64 1/2 (*.f64 alpha -1/4))
(+.f64 (*.f64 1/8 (pow.f64 alpha 2)) (+.f64 1/2 (*.f64 -1/4 alpha)))
(fma.f64 1/8 (*.f64 alpha alpha) (+.f64 1/2 (*.f64 alpha -1/4)))
(+.f64 (*.f64 1/8 (pow.f64 alpha 2)) (+.f64 1/2 (+.f64 (*.f64 -1/4 alpha) (*.f64 -1/16 (pow.f64 alpha 3)))))
(fma.f64 1/8 (*.f64 alpha alpha) (+.f64 1/2 (fma.f64 -1/4 alpha (*.f64 (pow.f64 alpha 3) -1/16))))
(/.f64 1 alpha)
(-.f64 (/.f64 1 alpha) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (/.f64 1 alpha) (/.f64 2 (*.f64 alpha alpha)))
(+.f64 (/.f64 1 alpha) (/.f64 -2 (*.f64 alpha alpha)))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha)) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (/.f64 1 alpha) (/.f64 4 (pow.f64 alpha 3))) (/.f64 2 (*.f64 alpha alpha)))
(+.f64 (/.f64 1 alpha) (-.f64 (/.f64 4 (pow.f64 alpha 3)) (/.f64 2 (*.f64 alpha alpha))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha)) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 4))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))))
(-.f64 (+.f64 (/.f64 1 alpha) (/.f64 4 (pow.f64 alpha 3))) (+.f64 (/.f64 2 (*.f64 alpha alpha)) (/.f64 8 (pow.f64 alpha 4))))
(-.f64 (+.f64 (/.f64 1 alpha) (-.f64 (/.f64 4 (pow.f64 alpha 3)) (/.f64 2 (*.f64 alpha alpha)))) (/.f64 8 (pow.f64 alpha 4)))
(/.f64 1 alpha)
(-.f64 (/.f64 1 alpha) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (/.f64 1 alpha) (/.f64 2 (*.f64 alpha alpha)))
(+.f64 (/.f64 1 alpha) (/.f64 -2 (*.f64 alpha alpha)))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha)) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (/.f64 1 alpha) (/.f64 4 (pow.f64 alpha 3))) (/.f64 2 (*.f64 alpha alpha)))
(+.f64 (/.f64 1 alpha) (-.f64 (/.f64 4 (pow.f64 alpha 3)) (/.f64 2 (*.f64 alpha alpha))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha)) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 4))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))))
(-.f64 (+.f64 (/.f64 1 alpha) (/.f64 4 (pow.f64 alpha 3))) (+.f64 (/.f64 2 (*.f64 alpha alpha)) (/.f64 8 (pow.f64 alpha 4))))
(-.f64 (+.f64 (/.f64 1 alpha) (-.f64 (/.f64 4 (pow.f64 alpha 3)) (/.f64 2 (*.f64 alpha alpha)))) (/.f64 8 (pow.f64 alpha 4)))
(-.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha 2))) 0)
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha 2)))
(-.f64 (exp.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 alpha 2))))) 1)
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha 2)))
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha 2)) 2) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha 2)) -1)) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha 2)) -1)))
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha 2)) 2) (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha 2)))) (/.f64 1 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha 2)))))
(-.f64 (/.f64 beta (+.f64 alpha 2)) (-.f64 (/.f64 alpha (+.f64 alpha 2)) 1))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha 2)))
(-.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 alpha 2))) 1)
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha 2)))
(-.f64 (+.f64 1 (/.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 alpha 2)))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha 2)))
(*.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha 2))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha 2)))
(*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha 2))) 1)
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha 2)))
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha 2)))) (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha 2)))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha 2)))
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha 2)))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha 2)))) 2))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha 2)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha 2)))) 2) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha 2)))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha 2)))
(*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha 2)) 2) -1) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha 2)) -1)))
(*.f64 (/.f64 1 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha 2)))) (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha 2)) 2)))
(*.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha 2)) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha 2)) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha 2))))))
(/.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha 2)) 3) 1)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha 2)) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha 2)))))
(*.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha 2)) -1)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha 2)) 2) -1))
(*.f64 (/.f64 1 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha 2)))) (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha 2)) 2)))
(*.f64 (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha 2)) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha 2))))) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha 2)) 3)))
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(/.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 alpha 2)))
(/.f64 (-.f64 beta alpha) (*.f64 (sqrt.f64 (+.f64 alpha 2)) (sqrt.f64 (+.f64 alpha 2))))
(/.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (neg.f64 (cbrt.f64 (+.f64 alpha 2))))
(/.f64 (-.f64 beta alpha) (*.f64 (cbrt.f64 (+.f64 alpha 2)) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)))
(/.f64 (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2))
(/.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) -1) (+.f64 alpha 2))
(/.f64 (-.f64 beta alpha) (+.f64 alpha 2))
(/.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (sqrt.f64 (-.f64 -2 alpha))) (sqrt.f64 (-.f64 -2 alpha)))
(/.f64 (neg.f64 (-.f64 beta alpha)) (*.f64 (sqrt.f64 (-.f64 -2 alpha)) (sqrt.f64 (-.f64 -2 alpha))))
(/.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (*.f64 (cbrt.f64 (-.f64 -2 alpha)) (cbrt.f64 (-.f64 -2 alpha)))) (cbrt.f64 (-.f64 -2 alpha)))
(/.f64 (neg.f64 (-.f64 beta alpha)) (*.f64 (cbrt.f64 (-.f64 -2 alpha)) (*.f64 (cbrt.f64 (-.f64 -2 alpha)) (cbrt.f64 (-.f64 -2 alpha)))))
(/.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (cbrt.f64 (-.f64 -2 alpha))) (*.f64 (cbrt.f64 (-.f64 -2 alpha)) (cbrt.f64 (-.f64 -2 alpha))))
(/.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (neg.f64 (sqrt.f64 (+.f64 alpha 2)))) (sqrt.f64 (+.f64 alpha 2)))
(/.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 alpha 2)))
(/.f64 (-.f64 beta alpha) (*.f64 (sqrt.f64 (+.f64 alpha 2)) (sqrt.f64 (+.f64 alpha 2))))
(/.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2))) (cbrt.f64 (+.f64 alpha 2)))
(/.f64 (-.f64 beta alpha) (*.f64 (cbrt.f64 (+.f64 alpha 2)) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)))
(/.f64 (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha 2)) 1)
(/.f64 (-.f64 beta alpha) (+.f64 alpha 2))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha 2))) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha 2))) 3)
(/.f64 (-.f64 beta alpha) (+.f64 alpha 2))
(pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha 2)) 3) 1/3)
(/.f64 (-.f64 beta alpha) (+.f64 alpha 2))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha 2)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha 2))))
(/.f64 (-.f64 beta alpha) (+.f64 alpha 2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 alpha 2))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha 2)) 3))
(/.f64 (-.f64 beta alpha) (+.f64 alpha 2))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha 2))))
(/.f64 (-.f64 beta alpha) (+.f64 alpha 2))
(exp.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha 2))))
(/.f64 (-.f64 beta alpha) (+.f64 alpha 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha 2))) 1))
(/.f64 (-.f64 beta alpha) (+.f64 alpha 2))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha 2))))
(/.f64 (-.f64 beta alpha) (+.f64 alpha 2))
(+.f64 (*.f64 (/.f64 1 (fma.f64 alpha alpha -4)) alpha) (*.f64 (/.f64 1 (fma.f64 alpha alpha -4)) -2))
(*.f64 (+.f64 alpha -2) (/.f64 1 (fma.f64 alpha alpha -4)))
(/.f64 (-.f64 2 alpha) (-.f64 4 (*.f64 alpha alpha)))
(+.f64 (*.f64 (/.f64 1 (+.f64 8 (pow.f64 alpha 3))) (*.f64 alpha alpha)) (*.f64 (/.f64 1 (+.f64 8 (pow.f64 alpha 3))) (-.f64 4 (*.f64 alpha 2))))
(/.f64 (*.f64 1 (fma.f64 alpha alpha (-.f64 4 (*.f64 alpha 2)))) (+.f64 (pow.f64 alpha 3) 8))
(/.f64 (fma.f64 alpha alpha (-.f64 4 (*.f64 alpha 2))) (+.f64 (pow.f64 alpha 3) 8))
(+.f64 (*.f64 (/.f64 1 (+.f64 8 (pow.f64 alpha 3))) (-.f64 4 (*.f64 alpha 2))) (*.f64 (/.f64 1 (+.f64 8 (pow.f64 alpha 3))) (*.f64 alpha alpha)))
(/.f64 (*.f64 1 (fma.f64 alpha alpha (-.f64 4 (*.f64 alpha 2)))) (+.f64 (pow.f64 alpha 3) 8))
(/.f64 (fma.f64 alpha alpha (-.f64 4 (*.f64 alpha 2))) (+.f64 (pow.f64 alpha 3) 8))
(+.f64 (*.f64 alpha (/.f64 1 (fma.f64 alpha alpha -4))) (*.f64 -2 (/.f64 1 (fma.f64 alpha alpha -4))))
(*.f64 (+.f64 alpha -2) (/.f64 1 (fma.f64 alpha alpha -4)))
(/.f64 (-.f64 2 alpha) (-.f64 4 (*.f64 alpha alpha)))
(+.f64 (*.f64 (*.f64 alpha alpha) (/.f64 1 (+.f64 8 (pow.f64 alpha 3)))) (*.f64 (-.f64 4 (*.f64 alpha 2)) (/.f64 1 (+.f64 8 (pow.f64 alpha 3)))))
(/.f64 (*.f64 1 (fma.f64 alpha alpha (-.f64 4 (*.f64 alpha 2)))) (+.f64 (pow.f64 alpha 3) 8))
(/.f64 (fma.f64 alpha alpha (-.f64 4 (*.f64 alpha 2))) (+.f64 (pow.f64 alpha 3) 8))
(+.f64 (*.f64 (-.f64 4 (*.f64 alpha 2)) (/.f64 1 (+.f64 8 (pow.f64 alpha 3)))) (*.f64 (*.f64 alpha alpha) (/.f64 1 (+.f64 8 (pow.f64 alpha 3)))))
(/.f64 (*.f64 1 (fma.f64 alpha alpha (-.f64 4 (*.f64 alpha 2)))) (+.f64 (pow.f64 alpha 3) 8))
(/.f64 (fma.f64 alpha alpha (-.f64 4 (*.f64 alpha 2))) (+.f64 (pow.f64 alpha 3) 8))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 alpha 2)))) 1)
(/.f64 1 (+.f64 alpha 2))
(*.f64 1 (/.f64 1 (+.f64 alpha 2)))
(/.f64 1 (+.f64 alpha 2))
(*.f64 (/.f64 1 (+.f64 alpha 2)) 1)
(/.f64 1 (+.f64 alpha 2))
(*.f64 (pow.f64 (+.f64 alpha 2) -1/2) (pow.f64 (+.f64 alpha 2) -1/2))
(/.f64 1 (+.f64 alpha 2))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 alpha 2))) (cbrt.f64 (pow.f64 (+.f64 alpha 2) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 alpha 2) -2)) (/.f64 1 (cbrt.f64 (+.f64 alpha 2))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 alpha 2))) (cbrt.f64 (pow.f64 (+.f64 alpha 2) -2)))
(*.f64 -1 (/.f64 1 (-.f64 -2 alpha)))
(/.f64 -1 (-.f64 -2 alpha))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (/.f64 1 (cbrt.f64 (+.f64 alpha 2))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 alpha 2))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)))
(/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 3))
(*.f64 (/.f64 1 (fma.f64 alpha alpha -4)) (+.f64 alpha -2))
(*.f64 (+.f64 alpha -2) (/.f64 1 (fma.f64 alpha alpha -4)))
(/.f64 (-.f64 2 alpha) (-.f64 4 (*.f64 alpha alpha)))
(*.f64 (/.f64 1 (+.f64 8 (pow.f64 alpha 3))) (fma.f64 alpha alpha (-.f64 4 (*.f64 alpha 2))))
(/.f64 (*.f64 1 (fma.f64 alpha alpha (-.f64 4 (*.f64 alpha 2)))) (+.f64 (pow.f64 alpha 3) 8))
(/.f64 (fma.f64 alpha alpha (-.f64 4 (*.f64 alpha 2))) (+.f64 (pow.f64 alpha 3) 8))
(*.f64 (/.f64 1 (-.f64 -2 alpha)) -1)
(/.f64 -1 (-.f64 -2 alpha))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 alpha 2)) -1) (pow.f64 (sqrt.f64 (+.f64 alpha 2)) -1))
(pow.f64 (sqrt.f64 (+.f64 alpha 2)) -2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) -1))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 alpha 2))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)))
(/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 3))
(*.f64 (/.f64 1 (neg.f64 (fma.f64 alpha alpha -4))) (neg.f64 (+.f64 alpha -2)))
(*.f64 (+.f64 alpha -2) (/.f64 1 (fma.f64 alpha alpha -4)))
(/.f64 (-.f64 2 alpha) (-.f64 4 (*.f64 alpha alpha)))
(*.f64 (/.f64 1 (neg.f64 (+.f64 8 (pow.f64 alpha 3)))) (neg.f64 (fma.f64 alpha alpha (-.f64 4 (*.f64 alpha 2)))))
(/.f64 (*.f64 1 (fma.f64 alpha alpha (-.f64 4 (*.f64 alpha 2)))) (+.f64 (pow.f64 alpha 3) 8))
(/.f64 (fma.f64 alpha alpha (-.f64 4 (*.f64 alpha 2))) (+.f64 (pow.f64 alpha 3) 8))
(*.f64 (/.f64 1 (-.f64 4 (*.f64 alpha alpha))) (-.f64 2 alpha))
(*.f64 (+.f64 alpha -2) (/.f64 1 (fma.f64 alpha alpha -4)))
(/.f64 (-.f64 2 alpha) (-.f64 4 (*.f64 alpha alpha)))
(*.f64 (/.f64 (pow.f64 (+.f64 alpha 2) -1/2) (sqrt.f64 (fma.f64 alpha alpha -4))) (sqrt.f64 (+.f64 alpha -2)))
(*.f64 (/.f64 (pow.f64 (+.f64 alpha 2) -1/2) (sqrt.f64 (+.f64 8 (pow.f64 alpha 3)))) (sqrt.f64 (fma.f64 alpha alpha (-.f64 4 (*.f64 alpha 2)))))
(*.f64 (/.f64 (pow.f64 (+.f64 alpha 2) -1/2) (sqrt.f64 (+.f64 (pow.f64 alpha 3) 8))) (sqrt.f64 (fma.f64 alpha alpha (-.f64 4 (*.f64 alpha 2)))))
(*.f64 (/.f64 -1 (neg.f64 (fma.f64 alpha alpha -4))) (+.f64 alpha -2))
(*.f64 (+.f64 alpha -2) (/.f64 1 (fma.f64 alpha alpha -4)))
(/.f64 (-.f64 2 alpha) (-.f64 4 (*.f64 alpha alpha)))
(*.f64 (/.f64 -1 (neg.f64 (+.f64 8 (pow.f64 alpha 3)))) (fma.f64 alpha alpha (-.f64 4 (*.f64 alpha 2))))
(/.f64 (*.f64 1 (fma.f64 alpha alpha (-.f64 4 (*.f64 alpha 2)))) (+.f64 (pow.f64 alpha 3) 8))
(/.f64 (fma.f64 alpha alpha (-.f64 4 (*.f64 alpha 2))) (+.f64 (pow.f64 alpha 3) 8))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (fma.f64 alpha alpha -4))) (cbrt.f64 (+.f64 alpha -2)))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (+.f64 8 (pow.f64 alpha 3)))) (cbrt.f64 (fma.f64 alpha alpha (-.f64 4 (*.f64 alpha 2)))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (+.f64 (pow.f64 alpha 3) 8))) (cbrt.f64 (fma.f64 alpha alpha (-.f64 4 (*.f64 alpha 2)))))
(*.f64 (/.f64 (fma.f64 alpha alpha (-.f64 4 (*.f64 alpha 2))) (-.f64 (*.f64 (pow.f64 alpha 3) (pow.f64 alpha 3)) 64)) (-.f64 (pow.f64 alpha 3) 8))
(*.f64 (/.f64 (fma.f64 alpha alpha (-.f64 4 (*.f64 alpha 2))) (+.f64 (pow.f64 alpha 6) -64)) (+.f64 (pow.f64 alpha 3) -8))
(*.f64 (/.f64 (fma.f64 alpha alpha (-.f64 4 (*.f64 alpha 2))) (+.f64 512 (pow.f64 (pow.f64 alpha 3) 3))) (+.f64 (*.f64 (pow.f64 alpha 3) (pow.f64 alpha 3)) (-.f64 64 (*.f64 (pow.f64 alpha 3) 8))))
(*.f64 (/.f64 (fma.f64 alpha alpha (-.f64 4 (*.f64 alpha 2))) (+.f64 (pow.f64 (pow.f64 alpha 3) 3) 512)) (+.f64 (pow.f64 alpha 6) (-.f64 64 (*.f64 (pow.f64 alpha 3) 8))))
(*.f64 (/.f64 (fma.f64 alpha alpha (-.f64 4 (*.f64 alpha 2))) (+.f64 (pow.f64 (pow.f64 alpha 3) 3) 512)) (-.f64 (+.f64 (pow.f64 alpha 6) 64) (*.f64 (pow.f64 alpha 3) 8)))
(*.f64 (/.f64 (+.f64 alpha -2) (-.f64 (*.f64 (*.f64 alpha alpha) (*.f64 alpha alpha)) 16)) (+.f64 4 (*.f64 alpha alpha)))
(*.f64 (/.f64 (+.f64 alpha -2) (+.f64 (pow.f64 alpha 4) -16)) (+.f64 4 (*.f64 alpha alpha)))
(*.f64 (/.f64 (+.f64 alpha -2) (-.f64 (pow.f64 (*.f64 alpha alpha) 3) 64)) (+.f64 (*.f64 (*.f64 alpha alpha) (*.f64 alpha alpha)) (+.f64 16 (*.f64 (*.f64 alpha alpha) 4))))
(*.f64 (/.f64 (+.f64 alpha -2) (+.f64 (pow.f64 alpha 6) -64)) (+.f64 (pow.f64 alpha 4) (+.f64 16 (*.f64 alpha (*.f64 alpha 4)))))
(*.f64 (/.f64 (+.f64 alpha -2) (+.f64 (pow.f64 alpha 6) -64)) (+.f64 16 (+.f64 (*.f64 alpha (*.f64 alpha 4)) (pow.f64 alpha 4))))
(pow.f64 (+.f64 alpha 2) -1)
(/.f64 1 (+.f64 alpha 2))
(pow.f64 (/.f64 1 (+.f64 alpha 2)) 1)
(/.f64 1 (+.f64 alpha 2))
(pow.f64 (pow.f64 (+.f64 alpha 2) -1/2) 2)
(/.f64 1 (+.f64 alpha 2))
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 alpha 2))) 3)
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 alpha 2))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)))
(/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 3))
(pow.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)) 1/3)
(cbrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)))
(sqrt.f64 (pow.f64 (+.f64 alpha 2) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 alpha 2))))
(/.f64 1 (+.f64 alpha 2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 alpha 2)))))
(/.f64 1 (+.f64 alpha 2))
(cbrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 alpha 2))))
(/.f64 1 (+.f64 alpha 2))
(exp.f64 (neg.f64 (log.f64 (+.f64 alpha 2))))
(/.f64 1 (+.f64 alpha 2))
(exp.f64 (*.f64 (log.f64 (+.f64 alpha 2)) -1))
(/.f64 1 (+.f64 alpha 2))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 alpha 2))) 1))
(/.f64 1 (+.f64 alpha 2))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 alpha 2))))
(/.f64 1 (+.f64 alpha 2))

eval643.0ms (6.2%)

Compiler

Compiled 32353 to 22620 computations (30.1% saved)

prune436.0ms (4.2%)

Pruning

17 alts after pruning (11 fresh and 6 done)

PrunedKeptTotal
New112561131
Fresh156
Picked101
Done167
Total1128171145
Error
0.0b
Counts
1145 → 17
Alt Table
Click to see full alt table
StatusErrorProgram
49.4b
(/.f64 (/.f64 (+.f64 beta 2) alpha) 2)
47.2b
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
59.0b
(/.f64 (/.f64 (*.f64 2 beta) alpha) 2)
49.4b
(/.f64 (/.f64 2 alpha) 2)
29.6b
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
29.5b
(/.f64 (-.f64 1 (*.f64 (/.f64 1 (+.f64 alpha 2)) alpha)) 2)
31.4b
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
16.1b
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
61.5b
(/.f64 (+.f64 (+.f64 (-.f64 (/.f64 beta alpha) (/.f64 (-.f64 -2 beta) alpha)) -1) 1) 2)
47.2b
(/.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) 2)
32.7b
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
59.0b
(/.f64 (*.f64 (/.f64 2 alpha) beta) 2)
59.9b
(/.f64 (*.f64 -1 (-.f64 (*.f64 2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))) (*.f64 beta (+.f64 (/.f64 2 alpha) (/.f64 -6 (*.f64 alpha alpha)))))) 2)
47.5b
(/.f64 (*.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (*.f64 2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))))) 2)
29.6b
(/.f64 (log.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) 2)
40.3b
(/.f64 2 2)
30.4b
(/.f64 1 2)
Compiler

Compiled 354 to 277 computations (21.8% saved)

localize20.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(/.f64 1 (+.f64 alpha 2))
0.1b
(*.f64 (/.f64 1 (+.f64 alpha 2)) alpha)
4.6b
(-.f64 1 (*.f64 (/.f64 1 (+.f64 alpha 2)) alpha))
Compiler

Compiled 40 to 31 computations (22.5% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite84.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1322×associate-*r/
904×associate-*l/
864×*-commutative
670×associate-/r*
478×associate-/l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0932
120432
2268532
Stop Event
node limit
Counts
2 → 157
Calls
Call 1
Inputs
(-.f64 1 (*.f64 (/.f64 1 (+.f64 alpha 2)) alpha))
(*.f64 (/.f64 1 (+.f64 alpha 2)) alpha)
Outputs
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alpha (+.f64 alpha 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 alpha (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 alpha (+.f64 alpha 2))))))))

simplify129.0ms (1.2%)

Algorithm
egg-herbie
Rules
892×associate-+l+
710×associate-+r+
702×associate-/l*
658×+-commutative
538×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04708411
113077405
252737381
Stop Event
node limit
Counts
181 → 289
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 alpha 2))))
(*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1)
(*.f64 (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(*.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2) (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 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 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)) 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 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 alpha 2)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 1 (+.f64 (/.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)) 2) (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 (*.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 alpha 2)))) (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 alpha 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 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 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 alpha 2)))) 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 alpha 2))))) (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 alpha 2))))) (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 alpha 2)))) 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 alpha 2)))) 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)) 2) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (/.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 alpha 2))) 1)
(pow.f64 (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2)
(pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 3)
(pow.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2))
(log.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))))
(cbrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3))
(expm1.f64 (log.f64 (-.f64 2 (/.f64 alpha (+.f64 alpha 2)))))
(exp.f64 (log1p.f64 (/.f64 alpha (-.f64 -2 alpha))))
(log1p.f64 (expm1.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(+.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 (+.f64 alpha 2) alpha))
(/.f64 alpha (+.f64 alpha 2))
(/.f64 (/.f64 alpha (+.f64 alpha 2)) 1)
(/.f64 (sqrt.f64 alpha) (/.f64 (+.f64 alpha 2) (sqrt.f64 alpha)))
(/.f64 (cbrt.f64 alpha) (/.f64 (+.f64 alpha 2) (pow.f64 (cbrt.f64 alpha) 2)))
(/.f64 (cbrt.f64 alpha) (/.f64 (/.f64 (+.f64 alpha 2) (sqrt.f64 alpha)) (cbrt.f64 (sqrt.f64 alpha))))
(/.f64 (cbrt.f64 alpha) (/.f64 (/.f64 (+.f64 alpha 2) (cbrt.f64 alpha)) (cbrt.f64 alpha)))
(/.f64 (pow.f64 (cbrt.f64 alpha) 2) (/.f64 (+.f64 alpha 2) (cbrt.f64 alpha)))
(/.f64 -1 (/.f64 (-.f64 -2 alpha) alpha))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (/.f64 (+.f64 alpha 2) (sqrt.f64 alpha)) (sqrt.f64 (cbrt.f64 alpha))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (/.f64 (+.f64 alpha 2) (cbrt.f64 alpha)) (sqrt.f64 (pow.f64 (cbrt.f64 alpha) 2))))
(/.f64 (sqrt.f64 (sqrt.f64 alpha)) (/.f64 (/.f64 (+.f64 alpha 2) (sqrt.f64 alpha)) (sqrt.f64 (sqrt.f64 alpha))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 alpha) 2))) (/.f64 (/.f64 (+.f64 alpha 2) (cbrt.f64 alpha)) (cbrt.f64 (pow.f64 (cbrt.f64 alpha) 2))))
(/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 alpha 2)))
(/.f64 (*.f64 alpha (cbrt.f64 (pow.f64 (+.f64 alpha 2) -2))) (cbrt.f64 (+.f64 alpha 2)))
(/.f64 (/.f64 alpha 1) (+.f64 alpha 2))
(/.f64 (/.f64 alpha (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (+.f64 alpha 2)))
(/.f64 (/.f64 alpha (fma.f64 alpha alpha -4)) (/.f64 1 (+.f64 alpha -2)))
(/.f64 (/.f64 alpha (+.f64 8 (pow.f64 alpha 3))) (/.f64 1 (+.f64 4 (*.f64 alpha (+.f64 alpha -2)))))
(/.f64 (neg.f64 alpha) (-.f64 -2 alpha))
(/.f64 (*.f64 alpha (+.f64 alpha -2)) (fma.f64 alpha alpha -4))
(/.f64 (/.f64 alpha (cbrt.f64 (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2))
(/.f64 (*.f64 1 (/.f64 alpha 1)) (+.f64 alpha 2))
(/.f64 (*.f64 1 (/.f64 alpha (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2))) (cbrt.f64 (+.f64 alpha 2)))
(/.f64 (*.f64 1 (neg.f64 alpha)) (-.f64 -2 alpha))
(/.f64 (*.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))) (sqrt.f64 alpha)) (sqrt.f64 (+.f64 alpha 2)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2) (cbrt.f64 alpha)) (cbrt.f64 (+.f64 alpha 2)))
(/.f64 (*.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) 1) (sqrt.f64 (+.f64 alpha 2)))
(/.f64 (*.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 -1)) (sqrt.f64 (-.f64 -2 alpha)))
(/.f64 (*.f64 (*.f64 alpha (cbrt.f64 (pow.f64 (+.f64 alpha 2) -2))) 1) (cbrt.f64 (+.f64 alpha 2)))
(/.f64 (*.f64 (*.f64 alpha (cbrt.f64 (pow.f64 (+.f64 alpha 2) -2))) -1) (cbrt.f64 (-.f64 -2 alpha)))
(/.f64 (*.f64 (/.f64 alpha (fma.f64 alpha alpha -4)) (fma.f64 alpha alpha -4)) (+.f64 alpha 2))
(/.f64 (*.f64 (/.f64 alpha (fma.f64 alpha alpha -4)) (-.f64 (pow.f64 alpha 3) 8)) (+.f64 (*.f64 alpha alpha) (+.f64 4 (*.f64 alpha 2))))
(/.f64 (*.f64 (/.f64 alpha (+.f64 8 (pow.f64 alpha 3))) (-.f64 (*.f64 (*.f64 alpha alpha) (*.f64 alpha alpha)) (*.f64 (+.f64 4 (*.f64 -2 alpha)) (+.f64 4 (*.f64 -2 alpha))))) (-.f64 (fma.f64 alpha alpha -4) (*.f64 -2 alpha)))
(/.f64 (*.f64 (/.f64 alpha (+.f64 8 (pow.f64 alpha 3))) (+.f64 (pow.f64 (*.f64 alpha alpha) 3) (pow.f64 (+.f64 4 (*.f64 -2 alpha)) 3))) (+.f64 (*.f64 (*.f64 alpha alpha) (*.f64 alpha alpha)) (*.f64 (+.f64 4 (*.f64 -2 alpha)) (-.f64 (+.f64 4 (*.f64 -2 alpha)) (*.f64 alpha alpha)))))
(/.f64 (*.f64 (/.f64 (sqrt.f64 alpha) 1) (sqrt.f64 alpha)) (+.f64 alpha 2))
(/.f64 (*.f64 (/.f64 (sqrt.f64 alpha) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (sqrt.f64 alpha)) (cbrt.f64 (+.f64 alpha 2)))
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) 1) (cbrt.f64 alpha)) (+.f64 alpha 2))
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (+.f64 alpha 2))) (cbrt.f64 alpha)) (sqrt.f64 (+.f64 alpha 2)))
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 alpha)) (cbrt.f64 (+.f64 alpha 2)))
(/.f64 (*.f64 (/.f64 alpha 1) 1) (+.f64 alpha 2))
(/.f64 (*.f64 (/.f64 alpha (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) 1) (cbrt.f64 (+.f64 alpha 2)))
(/.f64 (*.f64 (sqrt.f64 alpha) (sqrt.f64 (/.f64 alpha (+.f64 alpha 2)))) (sqrt.f64 (+.f64 alpha 2)))
(/.f64 (*.f64 1 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2)))) (sqrt.f64 (+.f64 alpha 2)))
(/.f64 (*.f64 (sqrt.f64 -1) (/.f64 alpha (sqrt.f64 (+.f64 alpha 2)))) (sqrt.f64 (-.f64 -2 alpha)))
(/.f64 (*.f64 (cbrt.f64 alpha) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2)) (cbrt.f64 (+.f64 alpha 2)))
(/.f64 (*.f64 1 (/.f64 alpha (cbrt.f64 (+.f64 alpha 2)))) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2))
(/.f64 (*.f64 alpha (+.f64 4 (*.f64 alpha (+.f64 alpha -2)))) (+.f64 8 (pow.f64 alpha 3)))
(/.f64 (*.f64 (sqrt.f64 alpha) (/.f64 (sqrt.f64 alpha) (cbrt.f64 (+.f64 alpha 2)))) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 alpha) 2) (/.f64 (cbrt.f64 alpha) (sqrt.f64 (+.f64 alpha 2)))) (sqrt.f64 (+.f64 alpha 2)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 (/.f64 alpha (+.f64 alpha 2)))) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2))
(/.f64 (/.f64 (/.f64 alpha 1) 1) (+.f64 alpha 2))
(/.f64 (/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) 1) (sqrt.f64 (+.f64 alpha 2)))
(/.f64 (/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (cbrt.f64 (+.f64 alpha 2))) (cbrt.f64 (sqrt.f64 (+.f64 alpha 2))))
(/.f64 (/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2))) (sqrt.f64 (cbrt.f64 (+.f64 alpha 2))))
(/.f64 (/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (sqrt.f64 (+.f64 alpha 2)))) (sqrt.f64 (sqrt.f64 (+.f64 alpha 2))))
(/.f64 (/.f64 (/.f64 alpha (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) 1) (cbrt.f64 (+.f64 alpha 2)))
(/.f64 (/.f64 (/.f64 alpha (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 alpha 2)))) (sqrt.f64 (cbrt.f64 (+.f64 alpha 2))))
(/.f64 (/.f64 (/.f64 alpha (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 alpha 2))) (cbrt.f64 (cbrt.f64 (+.f64 alpha 2))))) (cbrt.f64 (cbrt.f64 (+.f64 alpha 2))))
(/.f64 (/.f64 (/.f64 alpha (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2))) (cbrt.f64 (cbrt.f64 (+.f64 alpha 2))))
(/.f64 (/.f64 (/.f64 alpha (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (sqrt.f64 (+.f64 alpha 2)))) (cbrt.f64 (sqrt.f64 (+.f64 alpha 2))))
(/.f64 (/.f64 (neg.f64 alpha) 1) (-.f64 -2 alpha))
(/.f64 (/.f64 (neg.f64 alpha) (sqrt.f64 (+.f64 alpha 2))) (neg.f64 (sqrt.f64 (+.f64 alpha 2))))
(/.f64 (/.f64 (neg.f64 alpha) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (neg.f64 (cbrt.f64 (+.f64 alpha 2))))
(/.f64 (/.f64 (neg.f64 alpha) -1) (+.f64 alpha 2))
(/.f64 (/.f64 (neg.f64 alpha) (sqrt.f64 (-.f64 -2 alpha))) (sqrt.f64 (-.f64 -2 alpha)))
(/.f64 (/.f64 (neg.f64 alpha) (*.f64 (cbrt.f64 (-.f64 -2 alpha)) (cbrt.f64 (-.f64 -2 alpha)))) (cbrt.f64 (-.f64 -2 alpha)))
(/.f64 (/.f64 (neg.f64 alpha) (neg.f64 (sqrt.f64 (+.f64 alpha 2)))) (sqrt.f64 (+.f64 alpha 2)))
(/.f64 (/.f64 (neg.f64 alpha) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2))) (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 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) 1/3)
(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 (fma.f64 -1/2 alpha 1) (*.f64 alpha (*.f64 alpha 1/4)))
(+.f64 1 (*.f64 alpha (+.f64 (*.f64 alpha 1/4) -1/2)))
(+.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)))))
(fma.f64 -1/8 (pow.f64 alpha 3) (+.f64 (fma.f64 -1/2 alpha 1) (*.f64 alpha (*.f64 alpha 1/4))))
(+.f64 (*.f64 alpha (+.f64 (*.f64 alpha 1/4) -1/2)) (fma.f64 -1/8 (pow.f64 alpha 3) 1))
(/.f64 2 alpha)
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha)))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))))
(+.f64 (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) (/.f64 8 (pow.f64 alpha 3)))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 alpha 4))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(-.f64 (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3))) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4))))
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(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(/.f64 alpha (+.f64 alpha 2))
(/.f64 (/.f64 (/.f64 alpha (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 alpha 2)))) (sqrt.f64 (cbrt.f64 (+.f64 alpha 2))))
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(/.f64 alpha (+.f64 alpha 2))
(/.f64 (/.f64 (/.f64 alpha (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 alpha 2))) (cbrt.f64 (cbrt.f64 (+.f64 alpha 2))))) (cbrt.f64 (cbrt.f64 (+.f64 alpha 2))))
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(/.f64 alpha (+.f64 alpha 2))
(/.f64 (/.f64 (/.f64 alpha (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2))) (cbrt.f64 (cbrt.f64 (+.f64 alpha 2))))
(/.f64 (/.f64 alpha (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 alpha 2))) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2))))
(/.f64 (/.f64 alpha (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2))) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)))
(/.f64 (/.f64 (/.f64 alpha (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (sqrt.f64 (+.f64 alpha 2)))) (cbrt.f64 (sqrt.f64 (+.f64 alpha 2))))
(/.f64 (/.f64 alpha (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 alpha 2))) (cbrt.f64 (sqrt.f64 (+.f64 alpha 2)))))
(/.f64 alpha (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 alpha 2))) (cbrt.f64 (sqrt.f64 (+.f64 alpha 2)))) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)))
(/.f64 (/.f64 (neg.f64 alpha) 1) (-.f64 -2 alpha))
(*.f64 (/.f64 -1 (-.f64 -2 alpha)) alpha)
(/.f64 (neg.f64 alpha) (-.f64 -2 alpha))
(/.f64 (/.f64 (neg.f64 alpha) (sqrt.f64 (+.f64 alpha 2))) (neg.f64 (sqrt.f64 (+.f64 alpha 2))))
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(/.f64 alpha (+.f64 alpha 2))
(/.f64 (/.f64 (neg.f64 alpha) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (neg.f64 (cbrt.f64 (+.f64 alpha 2))))
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(/.f64 alpha (+.f64 alpha 2))
(/.f64 (/.f64 (neg.f64 alpha) -1) (+.f64 alpha 2))
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(/.f64 alpha (+.f64 alpha 2))
(/.f64 (/.f64 (neg.f64 alpha) (sqrt.f64 (-.f64 -2 alpha))) (sqrt.f64 (-.f64 -2 alpha)))
(*.f64 (/.f64 -1 (-.f64 -2 alpha)) alpha)
(/.f64 (neg.f64 alpha) (-.f64 -2 alpha))
(/.f64 (/.f64 (neg.f64 alpha) (*.f64 (cbrt.f64 (-.f64 -2 alpha)) (cbrt.f64 (-.f64 -2 alpha)))) (cbrt.f64 (-.f64 -2 alpha)))
(*.f64 (/.f64 -1 (-.f64 -2 alpha)) alpha)
(/.f64 (neg.f64 alpha) (-.f64 -2 alpha))
(/.f64 (/.f64 (neg.f64 alpha) (neg.f64 (sqrt.f64 (+.f64 alpha 2)))) (sqrt.f64 (+.f64 alpha 2)))
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(/.f64 alpha (+.f64 alpha 2))
(/.f64 (/.f64 (neg.f64 alpha) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2))) (cbrt.f64 (+.f64 alpha 2)))
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(/.f64 alpha (+.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 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) 1/3)
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(/.f64 alpha (+.f64 alpha 2))
(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))

localize3.0ms (0%)

Compiler

Compiled 7 to 7 computations (0% saved)

localize8.0ms (0.1%)

Compiler

Compiled 21 to 17 computations (19% saved)

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 20 to 13 computations (35% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

6 calls:

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

rewrite57.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1748×add-sqr-sqrt
1724×*-un-lft-identity
1620×add-cube-cbrt
1604×add-cbrt-cube
158×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
115613
2208413
Stop Event
node limit
Counts
1 → 32
Calls
Call 1
Inputs
(/.f64 (+.f64 beta 2) alpha)
Outputs
((#(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 beta 2) (/.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 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 (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 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) 2))))) (#(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 (/.f64 1 alpha) (+.f64 beta 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 beta) -2) (/.f64 1 (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 beta 2) (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 alpha alpha))) (/.f64 (+.f64 beta 2) (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 beta 2)) 1) (/.f64 (sqrt.f64 (+.f64 beta 2)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 beta 2)) (cbrt.f64 (*.f64 alpha alpha))) (/.f64 (sqrt.f64 (+.f64 beta 2)) (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) 1) (/.f64 (cbrt.f64 (+.f64 beta 2)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (+.f64 beta 2)) (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (cbrt.f64 (*.f64 alpha alpha))) (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 beta 2) alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 beta 2) alpha)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 alpha (+.f64 beta 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 beta 2) (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 beta 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 beta 2) alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 beta 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 beta 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 beta 2) alpha)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 beta 2) alpha)))))))

simplify62.0ms (0.6%)

Algorithm
egg-herbie
Rules
1100×associate-/r*
844×associate-+r+
768×*-commutative
738×associate-+l+
528×associate-*r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
090876
1210864
2797636
33594636
Stop Event
node limit
Counts
44 → 42
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 (exp.f64 (log1p.f64 (/.f64 (+.f64 beta 2) alpha))) 1)
(*.f64 (+.f64 beta 2) (/.f64 1 alpha))
(*.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 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (*.f64 (cbrt.f64 (+.f64 beta 2)) (/.f64 1 alpha)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) 2) (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)))
(*.f64 (/.f64 1 alpha) (+.f64 beta 2))
(*.f64 (+.f64 (neg.f64 beta) -2) (/.f64 1 (neg.f64 alpha)))
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 beta 2) (sqrt.f64 alpha)))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 alpha alpha))) (/.f64 (+.f64 beta 2) (cbrt.f64 alpha)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta 2)) 1) (/.f64 (sqrt.f64 (+.f64 beta 2)) alpha))
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta 2)) (cbrt.f64 (*.f64 alpha alpha))) (/.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) (cbrt.f64 (*.f64 alpha alpha))) (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)))
(pow.f64 (/.f64 (+.f64 beta 2) alpha) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 beta 2) alpha)) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3) 1/3)
(pow.f64 (/.f64 alpha (+.f64 beta 2)) -1)
(neg.f64 (/.f64 (+.f64 beta 2) (neg.f64 alpha)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 beta 2) alpha)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 beta 2) alpha))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 beta 2) alpha)))
(exp.f64 (log.f64 (/.f64 (+.f64 beta 2) alpha)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 beta 2) alpha)) 1))
(log1p.f64 (expm1.f64 (/.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 2 beta) alpha)
(+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (+.f64 2 beta) alpha)
(+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (+.f64 2 beta) alpha)
(/.f64 beta alpha)
(+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (+.f64 2 beta) alpha)
(+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (+.f64 2 beta) alpha)
(+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (+.f64 2 beta) alpha)
(/.f64 beta alpha)
(+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (+.f64 2 beta) alpha)
(+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (+.f64 2 beta) alpha)
(+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (+.f64 2 beta) alpha)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 beta 2) alpha))) 1)
(+.f64 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (+.f64 2 beta) alpha)
(*.f64 (+.f64 beta 2) (/.f64 1 alpha))
(+.f64 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (+.f64 2 beta) alpha)
(*.f64 (/.f64 (+.f64 beta 2) alpha) 1)
(+.f64 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (+.f64 2 beta) alpha)
(*.f64 1 (/.f64 (+.f64 beta 2) alpha))
(+.f64 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (+.f64 2 beta) alpha)
(*.f64 (sqrt.f64 (+.f64 beta 2)) (*.f64 (sqrt.f64 (+.f64 beta 2)) (/.f64 1 alpha)))
(+.f64 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (+.f64 2 beta) alpha)
(*.f64 (sqrt.f64 (/.f64 (+.f64 beta 2) alpha)) (sqrt.f64 (/.f64 (+.f64 beta 2) alpha)))
(+.f64 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (+.f64 2 beta) alpha)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (*.f64 (cbrt.f64 (+.f64 beta 2)) (/.f64 1 alpha)))
(+.f64 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (+.f64 2 beta) alpha)
(*.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) 2))
(+.f64 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (+.f64 2 beta) alpha)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) 2) (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)))
(+.f64 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (+.f64 2 beta) alpha)
(*.f64 (/.f64 1 alpha) (+.f64 beta 2))
(+.f64 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (+.f64 2 beta) alpha)
(*.f64 (+.f64 (neg.f64 beta) -2) (/.f64 1 (neg.f64 alpha)))
(+.f64 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (+.f64 2 beta) alpha)
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 beta 2) (sqrt.f64 alpha)))
(+.f64 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (+.f64 2 beta) alpha)
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 alpha alpha))) (/.f64 (+.f64 beta 2) (cbrt.f64 alpha)))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 alpha alpha))) (/.f64 (+.f64 2 beta) (cbrt.f64 alpha)))
(/.f64 (/.f64 (+.f64 2 beta) (cbrt.f64 alpha)) (cbrt.f64 (*.f64 alpha alpha)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta 2)) 1) (/.f64 (sqrt.f64 (+.f64 beta 2)) alpha))
(+.f64 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (+.f64 2 beta) alpha)
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta 2)) (cbrt.f64 (*.f64 alpha alpha))) (/.f64 (sqrt.f64 (+.f64 beta 2)) (cbrt.f64 alpha)))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 alpha alpha))) (/.f64 (+.f64 2 beta) (cbrt.f64 alpha)))
(/.f64 (/.f64 (+.f64 2 beta) (cbrt.f64 alpha)) (cbrt.f64 (*.f64 alpha alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) 1) (/.f64 (cbrt.f64 (+.f64 beta 2)) alpha))
(+.f64 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (+.f64 2 beta) 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 beta alpha) (/.f64 2 alpha))
(/.f64 (+.f64 2 beta) alpha)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (cbrt.f64 (*.f64 alpha alpha))) (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (cbrt.f64 (/.f64 (+.f64 2 beta) alpha))) (cbrt.f64 (*.f64 alpha alpha)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 2 beta) alpha)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (cbrt.f64 (*.f64 alpha alpha))))
(/.f64 (cbrt.f64 (/.f64 (+.f64 2 beta) alpha)) (/.f64 (cbrt.f64 (*.f64 alpha alpha)) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2)))
(pow.f64 (/.f64 (+.f64 beta 2) alpha) 1)
(+.f64 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (+.f64 2 beta) alpha)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 beta 2) alpha)) 2)
(+.f64 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (+.f64 2 beta) alpha)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) 3)
(+.f64 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (+.f64 2 beta) alpha)
(pow.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3) 1/3)
(+.f64 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (+.f64 2 beta) alpha)
(pow.f64 (/.f64 alpha (+.f64 beta 2)) -1)
(+.f64 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (+.f64 2 beta) alpha)
(neg.f64 (/.f64 (+.f64 beta 2) (neg.f64 alpha)))
(+.f64 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (+.f64 2 beta) alpha)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2))
(+.f64 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (+.f64 2 beta) alpha)
(log.f64 (exp.f64 (/.f64 (+.f64 beta 2) alpha)))
(+.f64 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (+.f64 2 beta) alpha)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 beta 2) alpha))))
(+.f64 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (+.f64 2 beta) alpha)
(cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3))
(+.f64 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (+.f64 2 beta) alpha)
(expm1.f64 (log1p.f64 (/.f64 (+.f64 beta 2) alpha)))
(+.f64 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (+.f64 2 beta) alpha)
(exp.f64 (log.f64 (/.f64 (+.f64 beta 2) alpha)))
(+.f64 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (+.f64 2 beta) alpha)
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 beta 2) alpha)) 1))
(+.f64 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (+.f64 2 beta) alpha)
(log1p.f64 (expm1.f64 (/.f64 (+.f64 beta 2) alpha)))
(+.f64 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (+.f64 2 beta) alpha)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (-.f64 (/.f64 beta alpha) (/.f64 (-.f64 -2 beta) alpha)) -1)
0.0b
(/.f64 (-.f64 -2 beta) alpha)
0.0b
(-.f64 (/.f64 beta alpha) (/.f64 (-.f64 -2 beta) alpha))
1.9b
(+.f64 (+.f64 (-.f64 (/.f64 beta alpha) (/.f64 (-.f64 -2 beta) alpha)) -1) 1)
Compiler

Compiled 67 to 40 computations (40.3% saved)

series5.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
2.0ms
beta
@0
(+.f64 (+.f64 (-.f64 (/.f64 beta alpha) (/.f64 (-.f64 -2 beta) alpha)) -1) 1)
0.0ms
beta
@inf
(+.f64 (+.f64 (-.f64 (/.f64 beta alpha) (/.f64 (-.f64 -2 beta) alpha)) -1) 1)
0.0ms
beta
@-inf
(+.f64 (+.f64 (-.f64 (/.f64 beta alpha) (/.f64 (-.f64 -2 beta) alpha)) -1) 1)
0.0ms
alpha
@-inf
(+.f64 (+.f64 (-.f64 (/.f64 beta alpha) (/.f64 (-.f64 -2 beta) alpha)) -1) 1)
0.0ms
alpha
@0
(+.f64 (+.f64 (-.f64 (/.f64 beta alpha) (/.f64 (-.f64 -2 beta) alpha)) -1) 1)

rewrite143.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
1762×associate-/l*
670×associate-+l+
402×associate-+r+
388×+-commutative
326×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01388
131476
2479176
Stop Event
node limit
Counts
4 → 451
Calls
Call 1
Inputs
(+.f64 (+.f64 (-.f64 (/.f64 beta alpha) (/.f64 (-.f64 -2 beta) alpha)) -1) 1)
(-.f64 (/.f64 beta alpha) (/.f64 (-.f64 -2 beta) alpha))
(/.f64 (-.f64 -2 beta) alpha)
(+.f64 (-.f64 (/.f64 beta alpha) (/.f64 (-.f64 -2 beta) alpha)) -1)
Outputs
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simplify268.0ms (2.6%)

Algorithm
egg-herbie
Rules
1040×associate-+r+
992×+-commutative
690×associate--l+
690×associate-+l-
532×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
080326737
1219424313
Stop Event
node limit
Counts
547 → 531
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 beta (*.f64 -1 (+.f64 beta 2))) alpha)
(/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)
(/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)
(/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)
(/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)
(/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)
(/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)
(/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha))
(/.f64 2 alpha)
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 beta alpha))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 beta alpha))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)
(/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)
(/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)
(/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)
(/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)
(/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)
(/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)
(/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha))
(/.f64 -2 alpha)
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(*.f64 -1 (/.f64 beta alpha))
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(*.f64 -1 (/.f64 beta alpha))
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(-.f64 (*.f64 2 (/.f64 1 alpha)) 1)
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 2 (/.f64 beta alpha))) 1)
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 2 (/.f64 beta alpha))) 1)
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 2 (/.f64 beta alpha))) 1)
(*.f64 2 (/.f64 beta alpha))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 2 (/.f64 beta alpha))) 1)
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 2 (/.f64 beta alpha))) 1)
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 2 (/.f64 beta alpha))) 1)
(*.f64 2 (/.f64 beta alpha))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 2 (/.f64 beta alpha))) 1)
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 2 (/.f64 beta alpha))) 1)
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 2 (/.f64 beta alpha))) 1)
(/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)
(-.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1))
(-.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1))
(-.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1))
-1
(-.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1))
(-.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1))
(-.f64 (/.f64 beta alpha) (+.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 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) 1)
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) 1)
(-.f64 (/.f64 beta alpha) (/.f64 (-.f64 -2 beta) alpha))
(-.f64 (/.f64 beta alpha) (-.f64 (/.f64 (-.f64 -2 beta) alpha) (fma.f64 (neg.f64 (/.f64 1 alpha)) (-.f64 -2 beta) (/.f64 (-.f64 -2 beta) alpha))))
(-.f64 (/.f64 beta alpha) (-.f64 (/.f64 (-.f64 -2 beta) alpha) (fma.f64 (/.f64 (+.f64 2 beta) alpha) 1 (/.f64 (-.f64 -2 beta) alpha))))
(-.f64 (/.f64 beta alpha) (-.f64 (/.f64 (-.f64 -2 beta) alpha) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 -2 beta) alpha))) (sqrt.f64 (/.f64 (-.f64 -2 beta) alpha)) (/.f64 (-.f64 -2 beta) alpha))))
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(fma.f64 (sqrt.f64 (/.f64 beta alpha)) (sqrt.f64 (/.f64 beta alpha)) (/.f64 (+.f64 2 beta) alpha))
(fma.f64 (sqrt.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) (sqrt.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) 0)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) -1)) 2) (cbrt.f64 (+.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) -1)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2) (cbrt.f64 (/.f64 beta alpha)) (/.f64 (+.f64 2 beta) alpha))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) 2) (cbrt.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) 0)
(+.f64 (/.f64 (-.f64 -2 beta) alpha) 0)
(+.f64 (/.f64 -2 alpha) (*.f64 (neg.f64 beta) (/.f64 1 alpha)))
(+.f64 (/.f64 -2 alpha) (*.f64 -1 (/.f64 beta alpha)))
(+.f64 (/.f64 -2 alpha) (*.f64 (neg.f64 (sqrt.f64 (/.f64 beta alpha))) (sqrt.f64 (/.f64 beta alpha))))
(+.f64 (/.f64 -2 alpha) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2)) (cbrt.f64 (/.f64 beta alpha))))
(+.f64 (/.f64 -2 alpha) (neg.f64 (/.f64 beta alpha)))
(+.f64 (/.f64 -2 alpha) (-.f64 (*.f64 (neg.f64 beta) (/.f64 1 alpha)) 0))
(+.f64 (/.f64 -2 alpha) (-.f64 (*.f64 -1 (/.f64 beta alpha)) 0))
(+.f64 (/.f64 -2 alpha) (-.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 beta alpha))) (sqrt.f64 (/.f64 beta alpha))) 0))
(+.f64 (/.f64 -2 alpha) (-.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2)) (cbrt.f64 (/.f64 beta alpha))) 0))
(+.f64 (/.f64 -2 alpha) (-.f64 (neg.f64 (/.f64 beta alpha)) 0))
(+.f64 (*.f64 (neg.f64 beta) (/.f64 1 alpha)) (/.f64 -2 alpha))
(+.f64 (*.f64 -1 (/.f64 beta alpha)) (/.f64 -2 alpha))
(+.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 beta alpha))) (sqrt.f64 (/.f64 beta alpha))) (/.f64 -2 alpha))
(+.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2)) (cbrt.f64 (/.f64 beta alpha))) (/.f64 -2 alpha))
(+.f64 (neg.f64 (/.f64 beta alpha)) (/.f64 -2 alpha))
(+.f64 (-.f64 (/.f64 -2 alpha) (exp.f64 (log1p.f64 (/.f64 beta alpha)))) 1)
(-.f64 (/.f64 (-.f64 -2 beta) alpha) 0)
(-.f64 (+.f64 (/.f64 (-.f64 -2 beta) alpha) 1) 1)
(-.f64 (/.f64 -2 alpha) (/.f64 beta alpha))
(-.f64 (/.f64 -2 alpha) (+.f64 (/.f64 beta alpha) 0))
(-.f64 (/.f64 -2 alpha) (+.f64 (+.f64 (/.f64 beta alpha) -1) 1))
(*.f64 (-.f64 -2 beta) (/.f64 1 alpha))
(*.f64 (/.f64 (-.f64 -2 beta) alpha) 1)
(*.f64 1 (/.f64 (-.f64 -2 beta) alpha))
(*.f64 (sqrt.f64 (/.f64 (-.f64 -2 beta) alpha)) (sqrt.f64 (/.f64 (-.f64 -2 beta) alpha)))
(*.f64 (sqrt.f64 (-.f64 -2 beta)) (*.f64 (sqrt.f64 (-.f64 -2 beta)) (/.f64 1 alpha)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 -2 beta) alpha)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 -2 beta) alpha)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -2 beta) alpha)) 2) (cbrt.f64 (/.f64 (-.f64 -2 beta) alpha)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 -2 beta) 2)) (*.f64 (cbrt.f64 (-.f64 -2 beta)) (/.f64 1 alpha)))
(*.f64 (/.f64 1 alpha) (-.f64 -2 beta))
(*.f64 (+.f64 2 beta) (/.f64 1 (neg.f64 alpha)))
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (-.f64 -2 beta) (sqrt.f64 alpha)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (-.f64 -2 beta) (cbrt.f64 alpha)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 -2 beta)) 1) (/.f64 (sqrt.f64 (-.f64 -2 beta)) alpha))
(*.f64 (/.f64 (sqrt.f64 (-.f64 -2 beta)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (-.f64 -2 beta)) (cbrt.f64 alpha)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 -2 beta) 2)) 1) (/.f64 (cbrt.f64 (-.f64 -2 beta)) alpha))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 -2 beta) 2)) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (-.f64 -2 beta)) (sqrt.f64 alpha)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 -2 beta) 2)) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (-.f64 -2 beta) alpha)))
(pow.f64 (/.f64 (-.f64 -2 beta) alpha) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 -2 beta) alpha)) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 -2 beta) alpha)) 3)
(pow.f64 (/.f64 alpha (-.f64 -2 beta)) -1)
(pow.f64 (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 3) 1/3)
(neg.f64 (/.f64 (-.f64 -2 beta) (neg.f64 alpha)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 -2 beta) alpha)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 -2 beta) alpha))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 3))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 -2 beta) alpha)))
(exp.f64 (log.f64 (/.f64 (-.f64 -2 beta) alpha)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 -2 beta) alpha)) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 -2 beta) alpha)))
(-.f64 (/.f64 beta alpha) (+.f64 (/.f64 (-.f64 -2 beta) alpha) 1))
(-.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 1)
(-.f64 (+.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 1) 2)
(-.f64 (exp.f64 (log1p.f64 (/.f64 beta alpha))) (+.f64 (/.f64 (-.f64 -2 beta) alpha) 2))
(-.f64 (exp.f64 (log1p.f64 (/.f64 beta alpha))) (-.f64 1 (+.f64 -1 (/.f64 (+.f64 2 beta) alpha))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 beta alpha))) (-.f64 1 (neg.f64 (+.f64 (/.f64 (-.f64 -2 beta) alpha) 1))))
(-.f64 (+.f64 (/.f64 beta alpha) -1) (/.f64 (-.f64 -2 beta) alpha))
(-.f64 (+.f64 (/.f64 beta alpha) 1) (+.f64 (/.f64 (-.f64 -2 beta) alpha) 2))
(-.f64 (+.f64 (/.f64 beta alpha) 1) (-.f64 (+.f64 (/.f64 (-.f64 -2 beta) alpha) 1) -1))
(-.f64 (/.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2) (+.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 1)) (/.f64 1 (+.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 1)))
(-.f64 (/.f64 (pow.f64 (/.f64 beta alpha) 2) (*.f64 (/.f64 1 alpha) (+.f64 beta (-.f64 -2 beta)))) (-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 2) (*.f64 (/.f64 1 alpha) (+.f64 beta (-.f64 -2 beta)))) -1))
(-.f64 (/.f64 (pow.f64 (/.f64 beta alpha) 2) (*.f64 (/.f64 1 alpha) (+.f64 beta (-.f64 -2 beta)))) (+.f64 (/.f64 (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 2) (*.f64 (/.f64 1 alpha) (+.f64 beta (-.f64 -2 beta)))) 1))
(-.f64 (/.f64 (pow.f64 (/.f64 beta alpha) 3) (+.f64 (pow.f64 (/.f64 beta alpha) 2) (*.f64 (/.f64 (-.f64 -2 beta) alpha) (*.f64 (/.f64 1 alpha) (+.f64 beta (-.f64 -2 beta)))))) (-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 3) (+.f64 (pow.f64 (/.f64 beta alpha) 2) (*.f64 (/.f64 (-.f64 -2 beta) alpha) (*.f64 (/.f64 1 alpha) (+.f64 beta (-.f64 -2 beta)))))) -1))
(-.f64 (/.f64 (pow.f64 (/.f64 beta alpha) 3) (+.f64 (pow.f64 (/.f64 beta alpha) 2) (*.f64 (/.f64 (-.f64 -2 beta) alpha) (*.f64 (/.f64 1 alpha) (+.f64 beta (-.f64 -2 beta)))))) (+.f64 (/.f64 (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 3) (+.f64 (pow.f64 (/.f64 beta alpha) 2) (*.f64 (/.f64 (-.f64 -2 beta) alpha) (*.f64 (/.f64 1 alpha) (+.f64 beta (-.f64 -2 beta)))))) 1))
(-.f64 (/.f64 (*.f64 beta alpha) (*.f64 alpha alpha)) (-.f64 (/.f64 (*.f64 alpha (-.f64 -2 beta)) (*.f64 alpha alpha)) -1))
(-.f64 (/.f64 (*.f64 beta alpha) (*.f64 alpha alpha)) (+.f64 (/.f64 (*.f64 alpha (-.f64 -2 beta)) (*.f64 alpha alpha)) 1))
(-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) -1) 2) (+.f64 -2 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha))) (-.f64 (/.f64 1 (+.f64 -2 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha))) -1))
(-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) -1) 2) (+.f64 -2 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha))) (+.f64 (/.f64 1 (+.f64 -2 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha))) 1))
(-.f64 (+.f64 -1 (+.f64 (/.f64 beta alpha) 1)) (+.f64 (/.f64 (-.f64 -2 beta) alpha) 1))
(-.f64 (+.f64 -1 (/.f64 (pow.f64 (/.f64 beta alpha) 2) (*.f64 (/.f64 1 alpha) (+.f64 beta (-.f64 -2 beta))))) (/.f64 (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 2) (*.f64 (/.f64 1 alpha) (+.f64 beta (-.f64 -2 beta)))))
(-.f64 (+.f64 -1 (/.f64 (pow.f64 (/.f64 beta alpha) 3) (+.f64 (pow.f64 (/.f64 beta alpha) 2) (*.f64 (/.f64 (-.f64 -2 beta) alpha) (*.f64 (/.f64 1 alpha) (+.f64 beta (-.f64 -2 beta))))))) (/.f64 (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 3) (+.f64 (pow.f64 (/.f64 beta alpha) 2) (*.f64 (/.f64 (-.f64 -2 beta) alpha) (*.f64 (/.f64 1 alpha) (+.f64 beta (-.f64 -2 beta)))))))
(-.f64 (+.f64 -1 (/.f64 (*.f64 beta alpha) (*.f64 alpha alpha))) (/.f64 (*.f64 alpha (-.f64 -2 beta)) (*.f64 alpha alpha)))
(-.f64 (+.f64 -1 (/.f64 (pow.f64 (+.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) -1) 2) (+.f64 -2 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)))) (/.f64 1 (+.f64 -2 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha))))
(-.f64 (+.f64 (+.f64 (/.f64 beta alpha) -1) 0) (/.f64 (-.f64 -2 beta) alpha))
(-.f64 (-.f64 (+.f64 (/.f64 beta alpha) -1) (/.f64 -2 alpha)) (*.f64 (neg.f64 beta) (/.f64 1 alpha)))
(-.f64 (-.f64 (+.f64 (/.f64 beta alpha) -1) (/.f64 -2 alpha)) (*.f64 -1 (/.f64 beta alpha)))
(-.f64 (-.f64 (+.f64 (/.f64 beta alpha) -1) (/.f64 -2 alpha)) (*.f64 (neg.f64 (sqrt.f64 (/.f64 beta alpha))) (sqrt.f64 (/.f64 beta alpha))))
(-.f64 (-.f64 (+.f64 (/.f64 beta alpha) -1) (/.f64 -2 alpha)) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2)) (cbrt.f64 (/.f64 beta alpha))))
(-.f64 (-.f64 (+.f64 (/.f64 beta alpha) -1) (/.f64 -2 alpha)) (neg.f64 (/.f64 beta alpha)))
(*.f64 (+.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) -1) 1)
(*.f64 1 (+.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) -1))
(*.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) -1)) (sqrt.f64 (+.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) -1)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) -1)) (*.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) -1)) 1))
(*.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) -1)) 2) (cbrt.f64 (+.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) -1)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) -1)) 2) (*.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) -1)) 1))
(*.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2)) (/.f64 1 (+.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 1)))
(*.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2) (*.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) -1)))))
(*.f64 (+.f64 1 (sqrt.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha))) (-.f64 (sqrt.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) 1))
(/.f64 1 (/.f64 1 (+.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) -1)))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2)) (+.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 1))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2)) (/.f64 (+.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 1) 1))
(/.f64 (+.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 1) (/.f64 (+.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 1) (+.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) -1)))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2) (*.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) -1))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 3)) (/.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2) (*.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) -1))) 1))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2))) (/.f64 (+.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 1) (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2)))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 3))) (/.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2) (*.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) -1))) (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 3)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2))) (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2)))) (/.f64 (+.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 1) (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 3))) (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 3)))) (/.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2) (*.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) -1))) (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 3)))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2)) 1) (+.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 1))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 3)) 1) (+.f64 1 (-.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2) (*.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) -1))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2)) (-.f64 -1 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)))
(/.f64 (-.f64 (pow.f64 (/.f64 beta alpha) 2) (*.f64 (+.f64 (/.f64 (-.f64 -2 beta) alpha) 1) (+.f64 (/.f64 (-.f64 -2 beta) alpha) 1))) (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (-.f64 -2 beta) alpha) 1)))
(/.f64 (-.f64 (pow.f64 (/.f64 beta alpha) 3) (pow.f64 (+.f64 (/.f64 (-.f64 -2 beta) alpha) 1) 3)) (+.f64 (pow.f64 (/.f64 beta alpha) 2) (+.f64 (*.f64 (+.f64 (/.f64 (-.f64 -2 beta) alpha) 1) (+.f64 (/.f64 (-.f64 -2 beta) alpha) 1)) (*.f64 (/.f64 beta alpha) (+.f64 (/.f64 (-.f64 -2 beta) alpha) 1)))))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2))) (neg.f64 (+.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 1)))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2) (*.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) -1)))))
(pow.f64 (+.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) -1) 1)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) -1)) 2)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) -1) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) -1) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) -1))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) -1) 3))
(expm1.f64 (log.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)))
(exp.f64 (log.f64 (+.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) -1)) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) -1)))
(fma.f64 beta (/.f64 1 alpha) (neg.f64 (+.f64 (/.f64 (-.f64 -2 beta) alpha) 1)))
(fma.f64 1 (/.f64 beta alpha) (neg.f64 (+.f64 (/.f64 (-.f64 -2 beta) alpha) 1)))
(fma.f64 1 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) -1)
(fma.f64 (sqrt.f64 (/.f64 beta alpha)) (sqrt.f64 (/.f64 beta alpha)) (neg.f64 (+.f64 (/.f64 (-.f64 -2 beta) alpha) 1)))
(fma.f64 (sqrt.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) (sqrt.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2) (cbrt.f64 (/.f64 beta alpha)) (neg.f64 (+.f64 (/.f64 (-.f64 -2 beta) alpha) 1)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) 2) (cbrt.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) -1)
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 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(*.f64 2 (/.f64 beta alpha))
(/.f64 (*.f64 2 beta) alpha)
(/.f64 2 (/.f64 alpha beta))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(*.f64 2 (/.f64 beta alpha))
(/.f64 (*.f64 2 beta) alpha)
(/.f64 2 (/.f64 alpha beta))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)
(/.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) alpha)
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(sqrt.f64 (pow.f64 (+.f64 -1 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) -1)))
(-.f64 (/.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) alpha) 1)
(+.f64 -1 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) -1))))
(-.f64 (/.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) alpha) 1)
(+.f64 -1 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) -1) 3))
(-.f64 (/.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) alpha) 1)
(+.f64 -1 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha))
(expm1.f64 (log.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)))
(exp.f64 (log.f64 (+.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) -1)))
(-.f64 (/.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) alpha) 1)
(+.f64 -1 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) -1)) 1))
(-.f64 (/.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) alpha) 1)
(+.f64 -1 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) -1)))
(-.f64 (/.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) alpha) 1)
(+.f64 -1 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha))
(fma.f64 beta (/.f64 1 alpha) (neg.f64 (+.f64 (/.f64 (-.f64 -2 beta) alpha) 1)))
(-.f64 (/.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) alpha) 1)
(+.f64 -1 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha))
(fma.f64 1 (/.f64 beta alpha) (neg.f64 (+.f64 (/.f64 (-.f64 -2 beta) alpha) 1)))
(-.f64 (/.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) alpha) 1)
(+.f64 -1 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha))
(fma.f64 1 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) -1)
(-.f64 (/.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) alpha) 1)
(+.f64 -1 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha))
(fma.f64 (sqrt.f64 (/.f64 beta alpha)) (sqrt.f64 (/.f64 beta alpha)) (neg.f64 (+.f64 (/.f64 (-.f64 -2 beta) alpha) 1)))
(+.f64 (+.f64 (/.f64 beta alpha) (-.f64 -1 (/.f64 -2 alpha))) (*.f64 (sqrt.f64 (/.f64 beta alpha)) (sqrt.f64 (/.f64 beta alpha))))
(fma.f64 (sqrt.f64 (/.f64 beta alpha)) (sqrt.f64 (/.f64 beta alpha)) (+.f64 -1 (/.f64 (+.f64 2 beta) alpha)))
(fma.f64 (sqrt.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) (sqrt.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) -1)
(-.f64 (/.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) alpha) 1)
(+.f64 -1 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2) (cbrt.f64 (/.f64 beta alpha)) (neg.f64 (+.f64 (/.f64 (-.f64 -2 beta) alpha) 1)))
(+.f64 (+.f64 (/.f64 beta alpha) (-.f64 -1 (/.f64 -2 alpha))) (*.f64 (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2) (cbrt.f64 (/.f64 beta alpha))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2) (cbrt.f64 (/.f64 beta alpha)) (+.f64 -1 (/.f64 (+.f64 2 beta) alpha)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) 2) (cbrt.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) -1)
(-.f64 (/.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) alpha) 1)
(+.f64 -1 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha))

eval906.0ms (8.8%)

Compiler

Compiled 23565 to 16995 computations (27.9% saved)

prune374.0ms (3.6%)

Pruning

18 alts after pruning (8 fresh and 10 done)

PrunedKeptTotal
New9393942
Fresh156
Picked101
Done01010
Total94118959
Error
0.0b
Counts
959 → 18
Alt Table
Click to see full alt table
StatusErrorProgram
49.4b
(/.f64 (/.f64 (+.f64 beta 2) alpha) 2)
47.2b
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
59.0b
(/.f64 (/.f64 (*.f64 2 beta) alpha) 2)
61.0b
(/.f64 (/.f64 beta alpha) 2)
49.4b
(/.f64 (/.f64 2 alpha) 2)
47.2b
(/.f64 (-.f64 (/.f64 beta alpha) (/.f64 (-.f64 -2 beta) alpha)) 2)
61.5b
(/.f64 (-.f64 (+.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) -1) -1) 2)
29.6b
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
29.5b
(/.f64 (-.f64 1 (*.f64 (/.f64 1 (+.f64 alpha 2)) alpha)) 2)
31.4b
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
16.1b
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
32.7b
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
59.0b
(/.f64 (*.f64 (/.f64 2 alpha) beta) 2)
59.9b
(/.f64 (*.f64 -1 (-.f64 (*.f64 2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))) (*.f64 beta (+.f64 (/.f64 2 alpha) (/.f64 -6 (*.f64 alpha alpha)))))) 2)
47.5b
(/.f64 (*.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (*.f64 2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))))) 2)
29.6b
(/.f64 (log.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) 2)
40.3b
(/.f64 2 2)
30.4b
(/.f64 1 2)
Compiler

Compiled 207 to 162 computations (21.7% saved)

regimes238.0ms (2.3%)

Counts
29 → 2
Calls
Call 1
Inputs
(/.f64 1 2)
(/.f64 2 2)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (/.f64 beta alpha) 2)
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
(/.f64 (*.f64 (/.f64 2 alpha) beta) 2)
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(/.f64 (/.f64 (*.f64 2 beta) 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 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(/.f64 (-.f64 1 (*.f64 (/.f64 1 (+.f64 alpha 2)) alpha)) 2)
(/.f64 (-.f64 (/.f64 beta alpha) (/.f64 (-.f64 -2 beta) alpha)) 2)
(/.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) 2)
(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 alpha 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 (+.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) -1) -1) 2)
(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2)
(/.f64 (+.f64 (+.f64 (-.f64 (/.f64 beta alpha) (/.f64 (-.f64 -2 beta) alpha)) -1) 1) 2)
(/.f64 (*.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (*.f64 2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))))) 2)
(/.f64 (*.f64 -1 (-.f64 (*.f64 2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))) (*.f64 beta (+.f64 (/.f64 2 alpha) (/.f64 -6 (*.f64 alpha alpha)))))) 2)
(/.f64 (*.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)))) 2)
(/.f64 (log.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) 2)
(/.f64 (log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 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)
Outputs
(/.f64 (*.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (*.f64 2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))))) 2)
(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2)
Calls

5 calls:

103.0ms
beta
94.0ms
alpha
17.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
10.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
6.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
Results
ErrorSegmentsBranch
3.0b2alpha
13.0b3beta
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 386 to 265 computations (31.3% saved)

bsearch3.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999999932047323
-0.9602009313308384
Compiler

Compiled 20 to 15 computations (25% saved)

regimes92.0ms (0.9%)

Counts
23 → 2
Calls
Call 1
Inputs
(/.f64 1 2)
(/.f64 2 2)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (/.f64 beta alpha) 2)
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
(/.f64 (*.f64 (/.f64 2 alpha) beta) 2)
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(/.f64 (/.f64 (*.f64 2 beta) 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 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(/.f64 (-.f64 1 (*.f64 (/.f64 1 (+.f64 alpha 2)) alpha)) 2)
(/.f64 (-.f64 (/.f64 beta alpha) (/.f64 (-.f64 -2 beta) alpha)) 2)
(/.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) 2)
(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 alpha 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 (+.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) -1) -1) 2)
(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2)
(/.f64 (+.f64 (+.f64 (-.f64 (/.f64 beta alpha) (/.f64 (-.f64 -2 beta) alpha)) -1) 1) 2)
Outputs
(/.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) 2)
(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2)
Calls

5 calls:

34.0ms
beta
25.0ms
alpha
14.0ms
(/.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
13.0b3beta
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 254 to 183 computations (28% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999999932047323
-0.9602009313308384
Compiler

Compiled 20 to 15 computations (25% saved)

regimes90.0ms (0.9%)

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 beta alpha) 2)
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
(/.f64 (*.f64 (/.f64 2 alpha) beta) 2)
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(/.f64 (/.f64 (*.f64 2 beta) 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 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(/.f64 (-.f64 1 (*.f64 (/.f64 1 (+.f64 alpha 2)) alpha)) 2)
(/.f64 (-.f64 (/.f64 beta alpha) (/.f64 (-.f64 -2 beta) alpha)) 2)
(/.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) 2)
(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 alpha 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 (+.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) -1) -1) 2)
Outputs
(/.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
Calls

5 calls:

29.0ms
beta
24.0ms
alpha
19.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
7.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
5.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
Results
ErrorSegmentsBranch
3.0b2alpha
13.1b3beta
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 224 to 163 computations (27.2% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999999932047323
-0.9602009313308384
Compiler

Compiled 20 to 15 computations (25% saved)

regimes73.0ms (0.7%)

Counts
18 → 2
Calls
Call 1
Inputs
(/.f64 1 2)
(/.f64 2 2)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (/.f64 beta alpha) 2)
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
(/.f64 (*.f64 (/.f64 2 alpha) beta) 2)
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(/.f64 (/.f64 (*.f64 2 beta) 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 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(/.f64 (-.f64 1 (*.f64 (/.f64 1 (+.f64 alpha 2)) alpha)) 2)
(/.f64 (-.f64 (/.f64 beta alpha) (/.f64 (-.f64 -2 beta) alpha)) 2)
(/.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) 2)
(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 alpha 2)) (-.f64 beta alpha)) 1) 2)
Outputs
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
(/.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) 2)
Calls

2 calls:

51.0ms
beta
17.0ms
alpha
Results
ErrorSegmentsBranch
4.6b2alpha
13.4b3beta
Compiler

Compiled 146 to 110 computations (24.7% saved)

bsearch12.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
12.0ms
2.66065228060369e+33
2.2277188794725257e+34
Results
11.0ms96×body256valid
Compiler

Compiled 188 to 153 computations (18.6% saved)

regimes51.0ms (0.5%)

Counts
16 → 2
Calls
Call 1
Inputs
(/.f64 1 2)
(/.f64 2 2)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (/.f64 beta alpha) 2)
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
(/.f64 (*.f64 (/.f64 2 alpha) beta) 2)
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(/.f64 (/.f64 (*.f64 2 beta) 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 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(/.f64 (-.f64 1 (*.f64 (/.f64 1 (+.f64 alpha 2)) alpha)) 2)
(/.f64 (-.f64 (/.f64 beta alpha) (/.f64 (-.f64 -2 beta) alpha)) 2)
Outputs
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
Calls

2 calls:

32.0ms
beta
16.0ms
alpha
Results
ErrorSegmentsBranch
4.6b2alpha
13.5b3beta
Compiler

Compiled 120 to 91 computations (24.2% saved)

bsearch13.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
13.0ms
2.66065228060369e+33
2.2277188794725257e+34
Results
9.0ms96×body256valid
Compiler

Compiled 164 to 135 computations (17.7% saved)

regimes38.0ms (0.4%)

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 beta alpha) 2)
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
(/.f64 (*.f64 (/.f64 2 alpha) beta) 2)
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(/.f64 (/.f64 (*.f64 2 beta) 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)
Outputs
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
(/.f64 (/.f64 (+.f64 beta 2) alpha) 2)
Calls

2 calls:

21.0ms
beta
14.0ms
alpha
Results
ErrorSegmentsBranch
6.7b2alpha
13.5b3beta
Compiler

Compiled 89 to 69 computations (22.5% saved)

bsearch13.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
12.0ms
2.66065228060369e+33
2.2277188794725257e+34
Results
11.0ms96×body256valid
Compiler

Compiled 152 to 123 computations (19.1% saved)

regimes55.0ms (0.5%)

Counts
11 → 4
Calls
Call 1
Inputs
(/.f64 1 2)
(/.f64 2 2)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (/.f64 beta alpha) 2)
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
(/.f64 (*.f64 (/.f64 2 alpha) beta) 2)
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(/.f64 (/.f64 (*.f64 2 beta) alpha) 2)
(/.f64 (/.f64 (+.f64 beta 2) alpha) 2)
Outputs
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
(/.f64 2 2)
Calls

2 calls:

29.0ms
alpha
24.0ms
beta
Results
ErrorSegmentsBranch
15.2b5alpha
15.1b4beta
Compiler

Compiled 71 to 55 computations (22.5% saved)

bsearch55.0ms (0.5%)

Algorithm
binary-search
Steps
TimeLeftRight
22.0ms
1.4690732722697371e-5
26.455593682747555
5.0ms
4.85374553921263e-28
5.541554303047496e-28
28.0ms
7.298456328233523e-69
6.757237595573626e-63
Results
27.0ms233×body256valid
19.0ms59×body1024valid
4.0ms27×body512valid
0.0msbody2048valid
Compiler

Compiled 362 to 326 computations (9.9% saved)

regimes36.0ms (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 beta alpha) 2)
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
(/.f64 (*.f64 (/.f64 2 alpha) beta) 2)
Outputs
(/.f64 1 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 1 2)
(/.f64 2 2)
Calls

2 calls:

21.0ms
beta
14.0ms
alpha
Results
ErrorSegmentsBranch
16.8b3alpha
15.3b4beta
Compiler

Compiled 43 to 33 computations (23.3% saved)

bsearch49.0ms (0.5%)

Algorithm
binary-search
Steps
TimeLeftRight
22.0ms
1.4690732722697371e-5
26.455593682747555
5.0ms
4.85374553921263e-28
5.541554303047496e-28
21.0ms
7.298456328233523e-69
6.757237595573626e-63
Results
27.0ms235×body256valid
11.0ms47×body1024valid
6.0ms38×body512valid
Compiler

Compiled 282 to 266 computations (5.7% saved)

regimes17.0ms (0.2%)

Accuracy

Total -45.2b remaining (-270.4%)

Threshold costs -45.2b (-270.4%)

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:

10.0ms
beta
6.0ms
alpha
Results
ErrorSegmentsBranch
25.8b2alpha
16.7b2beta
Compiler

Compiled 19 to 17 computations (10.5% saved)

bsearch22.0ms (0.2%)

Algorithm
binary-search
Steps
TimeLeftRight
22.0ms
1.4690732722697371e-5
26.455593682747555
Results
12.0ms106×body256valid
7.0ms28×body1024valid
2.0ms10×body512valid
Compiler

Compiled 128 to 123 computations (3.9% saved)

simplify39.0ms (0.4%)

Algorithm
egg-herbie
Rules
116×distribute-lft-neg-in
108×*-commutative
90×+-commutative
70×neg-sub0
62×distribute-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
081676
1109676
2130668
3158668
4190668
5239668
6271668
7317668
8377668
9428668
10460668
11474668
12476668
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -2206763817411543/2251799813685248) (/.f64 (*.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (*.f64 2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))))) 2) (/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -2206763817411543/2251799813685248) (/.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 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)) -2206763817411543/2251799813685248) (/.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 alpha 3200000000000000171717190540591104) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) 2))
(if (<=.f64 alpha 2699999999999999910699198895357952) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 3699999999999999856274429882400768) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 beta 2) alpha) 2))
(if (<=.f64 beta 6113822311730295/926336713898529563388567880069503262826159877325124512315660672063305037119488) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (if (<=.f64 beta 348449143727041/696898287454081973172991196020261297061888) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (/.f64 2 2))))
(if (<=.f64 beta 6113822311730295/926336713898529563388567880069503262826159877325124512315660672063305037119488) (/.f64 1 2) (if (<=.f64 beta 348449143727041/696898287454081973172991196020261297061888) (/.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
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -2206763817411543/2251799813685248) (/.f64 (*.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (*.f64 2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))))) 2) (/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -2206763817411543/2251799813685248) (/.f64 (neg.f64 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha) (*.f64 2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))))) 2) (/.f64 (+.f64 1 (*.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -2206763817411543/2251799813685248) (/.f64 (-.f64 (*.f64 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha)) -2) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 2) (/.f64 (+.f64 1 (*.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -2206763817411543/2251799813685248) (/.f64 (+.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha) (*.f64 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha)) -2)) 2) (/.f64 (+.f64 1 (*.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -2206763817411543/2251799813685248) (/.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 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 beta alpha) 2)) -2206763817411543/2251799813685248) (/.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) 2) (/.f64 (+.f64 1 (*.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -2206763817411543/2251799813685248) (/.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -2206763817411543/2251799813685248) (/.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -2206763817411543/2251799813685248) (/.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) 2) (/.f64 (-.f64 1 (/.f64 (-.f64 alpha beta) (+.f64 (+.f64 beta alpha) 2))) 2))
(if (<=.f64 alpha 3200000000000000171717190540591104) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) 2))
(if (<=.f64 alpha 3200000000000000171717190540591104) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) 2))
(if (<=.f64 alpha 2699999999999999910699198895357952) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 2699999999999999910699198895357952) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2))
(if (<=.f64 alpha 3699999999999999856274429882400768) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 beta 2) alpha) 2))
(if (<=.f64 alpha 3699999999999999856274429882400768) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 (+.f64 beta 2) alpha) 2))
(if (<=.f64 beta 6113822311730295/926336713898529563388567880069503262826159877325124512315660672063305037119488) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (if (<=.f64 beta 348449143727041/696898287454081973172991196020261297061888) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (/.f64 2 2))))
(if (<=.f64 beta 6113822311730295/926336713898529563388567880069503262826159877325124512315660672063305037119488) (/.f64 (+.f64 1 (*.f64 beta 1/2)) 2) (if (<=.f64 beta 348449143727041/696898287454081973172991196020261297061888) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (+.f64 1 (*.f64 beta 1/2)) 2) 1)))
(if (<=.f64 beta 6113822311730295/926336713898529563388567880069503262826159877325124512315660672063305037119488) (/.f64 1 2) (if (<=.f64 beta 348449143727041/696898287454081973172991196020261297061888) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 1 2) (/.f64 2 2))))
(if (<=.f64 beta 6113822311730295/926336713898529563388567880069503262826159877325124512315660672063305037119488) 1/2 (if (<=.f64 beta 348449143727041/696898287454081973172991196020261297061888) (/.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 271 to 203 computations (25.1% saved)

soundness520.0ms (5%)

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

Useful iterations: 5 (0.0ms)

IterNodesCost
01237
12537
24137
36937
411737
525533
646333
784533
8172033
9394033
060812724
1216112284
060215731
1180914967
01237
12537
24137
36937
411737
525533
646333
784533
8172033
9394033
Stop Event
node limit
node limit
node limit
node limit
Compiler

Compiled 348 to 246 computations (29.3% saved)

end122.0ms (1.2%)

Compiler

Compiled 253 to 178 computations (29.6% saved)

Profiling

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